Переход на версию 0.3: изменение подхода к именованию сущностей, добавление, изменение и удаление ряда функций

This commit is contained in:
Andrey Pokidov 2026-01-30 19:37:49 +07:00
parent d33daf4e2d
commit f7e41645fe
87 changed files with 4580 additions and 4051 deletions

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#include "affine2.h"
extern inline void bgc_affine2_reset_fp32(BgcAffine2FP32 * affine);
extern inline void bgc_affine2_reset_fp64(BgcAffine2FP64 * affine);
extern inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2 * affine);
extern inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2 * affine);
extern inline void bgc_affine2_make_fp32(const BgcMatrix2x2FP32 * distortion, const BgcVector2FP32 * shift, BgcAffine2FP32 * affine);
extern inline void bgc_affine2_make_fp64(const BgcMatrix2x2FP64 * distortion, const BgcVector2FP64 * shift, BgcAffine2FP64 * affine);
extern inline void bgc_fp32_affine2_make(const BGC_FP32_Matrix2x2 * distortion, const BGC_FP32_Vector2 * shift, BGC_FP32_Affine2 * affine);
extern inline void bgc_fp64_affine2_make(const BGC_FP64_Matrix2x2 * distortion, const BGC_FP64_Vector2 * shift, BGC_FP64_Affine2 * affine);
extern inline void bgc_affine2_copy_fp32(const BgcAffine2FP32 * source, BgcAffine2FP32 * destination);
extern inline void bgc_affine2_copy_fp64(const BgcAffine2FP64 * source, BgcAffine2FP64 * destination);
extern inline void bgc_fp32_affine2_copy(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline void bgc_fp64_affine2_copy(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline void bgc_affine2_convert_fp64_to_fp32(const BgcAffine2FP64 * source, BgcAffine2FP32 * destination);
extern inline void bgc_affine2_convert_fp32_to_fp64(const BgcAffine2FP32 * source, BgcAffine2FP64 * destination);
extern inline void bgc_fp32_affine2_swap(BGC_FP32_Affine2 * first, BGC_FP32_Affine2 * second);
extern inline void bgc_fp64_affine2_swap(BGC_FP64_Affine2 * first, BGC_FP64_Affine2 * second);
extern inline int bgc_affine2_invert_fp32(BgcAffine2FP32 * affine);
extern inline int bgc_affine2_invert_fp64(BgcAffine2FP64 * affine);
extern inline void bgc_fp64_affine2_convert_to_fp32(const BGC_FP64_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline void bgc_fp32_affine2_convert_to_fp64(const BGC_FP32_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline int bgc_affine2_get_inverse_fp32(const BgcAffine2FP32 * source, BgcAffine2FP32 * destination);
extern inline int bgc_affine2_get_inverse_fp64(const BgcAffine2FP64 * source, BgcAffine2FP64 * destination);
extern inline int bgc_fp32_affine2_invert(BGC_FP32_Affine2 * affine);
extern inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2 * affine);
extern inline void bgc_affine2_combine_fp32(const BgcAffine2FP32 * first, const BgcAffine2FP32 * second, BgcAffine2FP32 * combination);
extern inline void bgc_affine2_combine_fp64(const BgcAffine2FP64 * first, const BgcAffine2FP64 * second, BgcAffine2FP64 * combination);
extern inline int bgc_fp32_affine2_get_inverse(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline int bgc_fp64_affine2_get_inverse(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline void bgc_affine2_transform_point_fp32(const BgcAffine2FP32 * affine, const BgcVector2FP32 * initial_point, BgcVector2FP32 * transformed_point);
extern inline void bgc_affine2_transform_point_fp64(const BgcAffine2FP64 * affine, const BgcVector2FP64 * initial_point, BgcVector2FP64 * transformed_point);
extern inline void bgc_fp32_affine2_combine(const BGC_FP32_Affine2 * first, const BGC_FP32_Affine2 * second, BGC_FP32_Affine2 * combination);
extern inline void bgc_fp64_affine2_combine(const BGC_FP64_Affine2 * first, const BGC_FP64_Affine2 * second, BGC_FP64_Affine2 * combination);
extern inline void bgc_affine2_transform_vector_fp32(const BgcAffine2FP32 * affine, const BgcVector2FP32 * initial_vector, BgcVector2FP32 * transformed_vector);
extern inline void bgc_affine2_transform_vector_fp64(const BgcAffine2FP64 * affine, const BgcVector2FP64 * initial_vector, BgcVector2FP64 * transformed_vector);
extern inline void bgc_fp32_affine2_transform_point(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_point, BGC_FP32_Vector2 * transformed_point);
extern inline void bgc_fp64_affine2_transform_point(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point, BGC_FP64_Vector2 * transformed_point);
extern inline void bgc_fp32_affine2_transform_vector(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_vector, BGC_FP32_Vector2 * transformed_vector);
extern inline void bgc_fp64_affine2_transform_vector(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector, BGC_FP64_Vector2 * transformed_vector);

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// ==================== Types ==================== //
typedef struct {
BgcMatrix2x2FP32 distortion;
BgcVector2FP32 shift;
} BgcAffine2FP32;
BGC_FP32_Matrix2x2 distortion;
BGC_FP32_Vector2 shift;
} BGC_FP32_Affine2;
typedef struct {
BgcMatrix2x2FP64 distortion;
BgcVector2FP64 shift;
} BgcAffine2FP64;
BGC_FP64_Matrix2x2 distortion;
BGC_FP64_Vector2 shift;
} BGC_FP64_Affine2;
// ==================== Reset ==================== //
inline void bgc_affine2_reset_fp32(BgcAffine2FP32 * affine)
inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2 * affine)
{
bgc_matrix2x2_set_to_identity_fp32(&affine->distortion);
bgc_vector2_reset_fp32(&affine->shift);
bgc_fp32_matrix2x2_make_identity(&affine->distortion);
bgc_fp32_vector2_reset(&affine->shift);
}
inline void bgc_affine2_reset_fp64(BgcAffine2FP64 * affine)
inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2 * affine)
{
bgc_matrix2x2_set_to_identity_fp64(&affine->distortion);
bgc_vector2_reset_fp64(&affine->shift);
bgc_fp64_matrix2x2_make_identity(&affine->distortion);
bgc_fp64_vector2_reset(&affine->shift);
}
// ==================== Make ===================== //
inline void bgc_affine2_make_fp32(const BgcMatrix2x2FP32 * distortion, const BgcVector2FP32 * shift, BgcAffine2FP32 * affine)
inline void bgc_fp32_affine2_make(const BGC_FP32_Matrix2x2 * distortion, const BGC_FP32_Vector2 * shift, BGC_FP32_Affine2 * affine)
{
bgc_matrix2x2_copy_fp32(distortion, &affine->distortion);
bgc_vector2_copy_fp32(shift, &affine->shift);
bgc_fp32_matrix2x2_copy(distortion, &affine->distortion);
bgc_fp32_vector2_copy(shift, &affine->shift);
}
inline void bgc_affine2_make_fp64(const BgcMatrix2x2FP64 * distortion, const BgcVector2FP64 * shift, BgcAffine2FP64 * affine)
inline void bgc_fp64_affine2_make(const BGC_FP64_Matrix2x2 * distortion, const BGC_FP64_Vector2 * shift, BGC_FP64_Affine2 * affine)
{
bgc_matrix2x2_copy_fp64(distortion, &affine->distortion);
bgc_vector2_copy_fp64(shift, &affine->shift);
bgc_fp64_matrix2x2_copy(distortion, &affine->distortion);
bgc_fp64_vector2_copy(shift, &affine->shift);
}
// ==================== Copy ===================== //
inline void bgc_affine2_copy_fp32(const BgcAffine2FP32 * source, BgcAffine2FP32 * destination)
inline void bgc_fp32_affine2_copy(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination)
{
bgc_matrix2x2_copy_fp32(&source->distortion, &destination->distortion);
bgc_vector2_copy_fp32(&source->shift, &destination->shift);
bgc_fp32_matrix2x2_copy(&source->distortion, &destination->distortion);
bgc_fp32_vector2_copy(&source->shift, &destination->shift);
}
inline void bgc_affine2_copy_fp64(const BgcAffine2FP64 * source, BgcAffine2FP64 * destination)
inline void bgc_fp64_affine2_copy(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination)
{
bgc_matrix2x2_copy_fp64(&source->distortion, &destination->distortion);
bgc_vector2_copy_fp64(&source->shift, &destination->shift);
bgc_fp64_matrix2x2_copy(&source->distortion, &destination->distortion);
bgc_fp64_vector2_copy(&source->shift, &destination->shift);
}
// ==================== Swap ===================== //
inline void bgc_fp32_affine2_swap(BGC_FP32_Affine2 * first, BGC_FP32_Affine2 * second)
{
bgc_fp32_matrix2x2_swap(&first->distortion, &second->distortion);
bgc_fp32_vector2_swap(&first->shift, &second->shift);
}
inline void bgc_fp64_affine2_swap(BGC_FP64_Affine2 * first, BGC_FP64_Affine2 * second)
{
bgc_fp64_matrix2x2_swap(&first->distortion, &second->distortion);
bgc_fp64_vector2_swap(&first->shift, &second->shift);
}
// =================== Convert =================== //
inline void bgc_affine2_convert_fp64_to_fp32(const BgcAffine2FP64 * source, BgcAffine2FP32 * destination)
inline void bgc_fp64_affine2_convert_to_fp32(const BGC_FP64_Affine2 * source, BGC_FP32_Affine2 * destination)
{
bgc_matrix2x2_convert_fp64_to_fp32(&source->distortion, &destination->distortion);
bgc_vector2_convert_fp64_to_fp32(&source->shift, &destination->shift);
bgc_fp64_matrix2x2_convert_to_fp32(&source->distortion, &destination->distortion);
bgc_fp64_vector2_convert_to_fp32(&source->shift, &destination->shift);
}
inline void bgc_affine2_convert_fp32_to_fp64(const BgcAffine2FP32 * source, BgcAffine2FP64 * destination)
inline void bgc_fp32_affine2_convert_to_fp64(const BGC_FP32_Affine2 * source, BGC_FP64_Affine2 * destination)
{
bgc_matrix2x2_convert_fp32_to_fp64(&source->distortion, &destination->distortion);
bgc_vector2_convert_fp32_to_fp64(&source->shift, &destination->shift);
bgc_fp32_matrix2x2_convert_to_fp64(&source->distortion, &destination->distortion);
bgc_fp32_vector2_convert_to_fp64(&source->shift, &destination->shift);
}
// =================== Invert ==================== //
inline int bgc_affine2_invert_fp32(BgcAffine2FP32 * affine)
inline int bgc_fp32_affine2_invert(BGC_FP32_Affine2 * affine)
{
if (!bgc_matrix2x2_invert_fp32(&affine->distortion, &affine->distortion)) {
if (!bgc_fp32_matrix2x2_invert(&affine->distortion)) {
return 0;
}
bgc_matrix2x2_get_right_product_fp32(&affine->distortion, &affine->shift, &affine->shift);
bgc_vector2_make_opposite_fp32(&affine->shift);
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp32_vector2_revert(&affine->shift);
return 1;
}
inline int bgc_affine2_invert_fp64(BgcAffine2FP64 * affine)
inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2 * affine)
{
if (!bgc_matrix2x2_invert_fp64(&affine->distortion, &affine->distortion)) {
if (!bgc_fp64_matrix2x2_invert(&affine->distortion)) {
return 0;
}
bgc_matrix2x2_get_right_product_fp64(&affine->distortion, &affine->shift, &affine->shift);
bgc_vector2_make_opposite_fp64(&affine->shift);
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp64_vector2_revert(&affine->shift);
return 1;
}
// ================= Get Inverse ================= //
inline int bgc_affine2_get_inverse_fp32(const BgcAffine2FP32 * source, BgcAffine2FP32 * destination)
inline int bgc_fp32_affine2_get_inverse(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination)
{
if (!bgc_matrix2x2_invert_fp32(&source->distortion, &destination->distortion)) {
if (!bgc_fp32_matrix2x2_get_inverse(&source->distortion, &destination->distortion)) {
return 0;
}
bgc_matrix2x2_get_right_product_fp32(&destination->distortion, &source->shift, &destination->shift);
bgc_vector2_make_opposite_fp32(&destination->shift);
bgc_fp32_multiply_matrix2x2_by_vector2(&destination->distortion, &source->shift, &destination->shift);
bgc_fp32_vector2_revert(&destination->shift);
return 1;
}
inline int bgc_affine2_get_inverse_fp64(const BgcAffine2FP64 * source, BgcAffine2FP64 * destination)
inline int bgc_fp64_affine2_get_inverse(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination)
{
if (!bgc_matrix2x2_invert_fp64(&source->distortion, &destination->distortion)) {
if (!bgc_fp64_matrix2x2_get_inverse(&source->distortion, &destination->distortion)) {
return 0;
}
bgc_matrix2x2_get_right_product_fp64(&destination->distortion, &source->shift, &destination->shift);
bgc_vector2_make_opposite_fp64(&destination->shift);
bgc_fp64_multiply_matrix2x2_by_vector2(&destination->distortion, &source->shift, &destination->shift);
bgc_fp64_vector2_revert(&destination->shift);
return 1;
}
// =================== Combine =================== //
inline void bgc_affine2_combine_fp32(const BgcAffine2FP32 * first, const BgcAffine2FP32 * second, BgcAffine2FP32 * combination)
inline void bgc_fp32_affine2_combine(const BGC_FP32_Affine2 * first, const BGC_FP32_Affine2 * second, BGC_FP32_Affine2 * combination)
{
BgcVector2FP32 first_shift;
bgc_matrix2x2_get_right_product_fp32(&second->distortion, &first->shift, &first_shift);
bgc_matrix_product_2x2_at_2x2_fp32(&second->distortion, &first->distortion, &combination->distortion);
bgc_vector2_add_fp32(&first_shift, &second->shift, &combination->shift);
BGC_FP32_Vector2 first_shift;
bgc_fp32_multiply_matrix2x2_by_vector2(&second->distortion, &first->shift, &first_shift);
bgc_fp32_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp32_vector2_add(&first_shift, &second->shift, &combination->shift);
}
inline void bgc_affine2_combine_fp64(const BgcAffine2FP64 * first, const BgcAffine2FP64 * second, BgcAffine2FP64 * combination)
inline void bgc_fp64_affine2_combine(const BGC_FP64_Affine2 * first, const BGC_FP64_Affine2 * second, BGC_FP64_Affine2 * combination)
{
BgcVector2FP64 first_shift;
bgc_matrix2x2_get_right_product_fp64(&second->distortion, &first->shift, &first_shift);
bgc_matrix_product_2x2_at_2x2_fp64(&second->distortion, &first->distortion, &combination->distortion);
bgc_vector2_add_fp64(&first_shift, &second->shift, &combination->shift);
BGC_FP64_Vector2 first_shift;
bgc_fp64_multiply_matrix2x2_by_vector2(&second->distortion, &first->shift, &first_shift);
bgc_fp64_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp64_vector2_add(&first_shift, &second->shift, &combination->shift);
}
// =============== Transform Point =============== //
inline void bgc_affine2_transform_point_fp32(const BgcAffine2FP32 * affine, const BgcVector2FP32 * initial_point, BgcVector2FP32 * transformed_point)
inline void bgc_fp32_affine2_transform_point(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_point, BGC_FP32_Vector2 * transformed_point)
{
BgcVector2FP32 distorted;
bgc_matrix2x2_get_right_product_fp32(&affine->distortion, initial_point, &distorted);
bgc_vector2_add_fp32(&affine->shift, &distorted, transformed_point);
BGC_FP32_Vector2 distorted;
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, initial_point, &distorted);
bgc_fp32_vector2_add(&affine->shift, &distorted, transformed_point);
}
inline void bgc_affine2_transform_point_fp64(const BgcAffine2FP64 * affine, const BgcVector2FP64 * initial_point, BgcVector2FP64 * transformed_point)
inline void bgc_fp64_affine2_transform_point(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point, BGC_FP64_Vector2 * transformed_point)
{
BgcVector2FP64 distorted;
bgc_matrix2x2_get_right_product_fp64(&affine->distortion, initial_point, &distorted);
bgc_vector2_add_fp64(&affine->shift, &distorted, transformed_point);
BGC_FP64_Vector2 distorted;
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, initial_point, &distorted);
bgc_fp64_vector2_add(&affine->shift, &distorted, transformed_point);
}
// ============== Transform Vector =============== //
inline void bgc_affine2_transform_vector_fp32(const BgcAffine2FP32 * affine, const BgcVector2FP32 * initial_vector, BgcVector2FP32 * transformed_vector)
inline void bgc_fp32_affine2_transform_vector(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_vector, BGC_FP32_Vector2 * transformed_vector)
{
bgc_matrix2x2_get_right_product_fp32(&affine->distortion, initial_vector, transformed_vector);
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, initial_vector, transformed_vector);
}
inline void bgc_affine2_transform_vector_fp64(const BgcAffine2FP64 * affine, const BgcVector2FP64 * initial_vector, BgcVector2FP64 * transformed_vector)
inline void bgc_fp64_affine2_transform_vector(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector, BGC_FP64_Vector2 * transformed_vector)
{
bgc_matrix2x2_get_right_product_fp64(&affine->distortion, initial_vector, transformed_vector);
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, initial_vector, transformed_vector);
}
#endif

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#include "affine3.h"
extern inline void bgc_affine3_reset_fp32(BgcAffine3FP32 * affine);
extern inline void bgc_affine3_reset_fp64(BgcAffine3FP64 * affine);
extern inline void bgc_fp32_affine3_reset(BGC_FP32_Affine3 * affine);
extern inline void bgc_fp64_affine3_reset(BGC_FP64_Affine3 * affine);
extern inline void bgc_affine3_make_fp32(const BgcMatrix3x3FP32 * distortion, const BgcVector3FP32 * shift, BgcAffine3FP32 * affine);
extern inline void bgc_affine3_make_fp64(const BgcMatrix3x3FP64 * distortion, const BgcVector3FP64 * shift, BgcAffine3FP64 * affine);
extern inline void bgc_fp32_affine3_make(const BGC_FP32_Matrix3x3 * distortion, const BGC_FP32_Vector3 * shift, BGC_FP32_Affine3 * affine);
extern inline void bgc_fp64_affine3_make(const BGC_FP64_Matrix3x3 * distortion, const BGC_FP64_Vector3 * shift, BGC_FP64_Affine3 * affine);
extern inline void bgc_affine3_copy_fp32(const BgcAffine3FP32 * source, BgcAffine3FP32 * destination);
extern inline void bgc_affine3_copy_fp64(const BgcAffine3FP64 * source, BgcAffine3FP64 * destination);
extern inline void bgc_fp32_affine3_copy(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline void bgc_fp64_affine3_copy(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline void bgc_affine3_convert_fp64_to_fp32(const BgcAffine3FP64 * source, BgcAffine3FP32 * destination);
extern inline void bgc_affine3_convert_fp32_to_fp64(const BgcAffine3FP32 * source, BgcAffine3FP64 * destination);
extern inline void bgc_fp32_affine3_swap(BGC_FP32_Affine3 * first, BGC_FP32_Affine3 * second);
extern inline void bgc_fp64_affine3_swap(BGC_FP64_Affine3 * first, BGC_FP64_Affine3 * second);
extern inline int bgc_affine3_invert_fp32(BgcAffine3FP32 * affine);
extern inline int bgc_affine3_invert_fp64(BgcAffine3FP64 * affine);
extern inline void bgc_fp64_affine3_convert_to_fp32(const BGC_FP64_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline void bgc_fp32_affine3_convert_to_fp64(const BGC_FP32_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline int bgc_affine3_get_inverse_fp32(const BgcAffine3FP32 * source, BgcAffine3FP32 * destination);
extern inline int bgc_affine3_get_inverse_fp64(const BgcAffine3FP64 * source, BgcAffine3FP64 * destination);
extern inline int bgc_fp32_affine3_invert(BGC_FP32_Affine3 * affine);
extern inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3 * affine);
extern inline void bgc_affine3_combine_fp32(const BgcAffine3FP32 * first, const BgcAffine3FP32 * second, BgcAffine3FP32 * combination);
extern inline void bgc_affine3_combine_fp64(const BgcAffine3FP64 * first, const BgcAffine3FP64 * second, BgcAffine3FP64 * combination);
extern inline int bgc_fp32_affine3_get_inverse(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline void bgc_affine3_transform_point_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_point, BgcVector3FP32 * transformed_point);
extern inline void bgc_affine3_transform_point_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_point, BgcVector3FP64 * transformed_point);
extern inline void bgc_fp32_affine3_combine(const BGC_FP32_Affine3 * first, const BGC_FP32_Affine3 * second, BGC_FP32_Affine3 * combination);
extern inline void bgc_fp64_affine3_combine(const BGC_FP64_Affine3 * first, const BGC_FP64_Affine3 * second, BGC_FP64_Affine3 * combination);
extern inline void bgc_affine3_transform_vector_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_vector, BgcVector3FP32 * transformed_vector);
extern inline void bgc_affine3_transform_vector_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_vector, BgcVector3FP64 * transformed_vector);
extern inline void bgc_fp32_affine3_transform_point(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_point, BGC_FP32_Vector3 * transformed_point);
extern inline void bgc_fp64_affine3_transform_point(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point, BGC_FP64_Vector3 * transformed_point);
extern inline void bgc_fp32_affine3_transform_vector(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_vector, BGC_FP32_Vector3 * transformed_vector);
extern inline void bgc_fp64_affine3_transform_vector(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector, BGC_FP64_Vector3 * transformed_vector);

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// ==================== Types ==================== //
typedef struct {
BgcMatrix3x3FP32 distortion;
BgcVector3FP32 shift;
} BgcAffine3FP32;
BGC_FP32_Matrix3x3 distortion;
BGC_FP32_Vector3 shift;
} BGC_FP32_Affine3;
typedef struct {
BgcMatrix3x3FP64 distortion;
BgcVector3FP64 shift;
} BgcAffine3FP64;
BGC_FP64_Matrix3x3 distortion;
BGC_FP64_Vector3 shift;
} BGC_FP64_Affine3;
// ==================== Reset ==================== //
inline void bgc_affine3_reset_fp32(BgcAffine3FP32 * affine)
inline void bgc_fp32_affine3_reset(BGC_FP32_Affine3 * affine)
{
bgc_matrix3x3_set_to_identity_fp32(&affine->distortion);
bgc_vector3_reset_fp32(&affine->shift);
bgc_fp32_matrix3x3_make_identity(&affine->distortion);
bgc_fp32_vector3_reset(&affine->shift);
}
inline void bgc_affine3_reset_fp64(BgcAffine3FP64 * affine)
inline void bgc_fp64_affine3_reset(BGC_FP64_Affine3 * affine)
{
bgc_matrix3x3_set_to_identity_fp64(&affine->distortion);
bgc_vector3_reset_fp64(&affine->shift);
bgc_fp64_matrix3x3_make_identity(&affine->distortion);
bgc_fp64_vector3_reset(&affine->shift);
}
// ==================== Make ===================== //
inline void bgc_affine3_make_fp32(const BgcMatrix3x3FP32 * distortion, const BgcVector3FP32 * shift, BgcAffine3FP32 * affine)
inline void bgc_fp32_affine3_make(const BGC_FP32_Matrix3x3 * distortion, const BGC_FP32_Vector3 * shift, BGC_FP32_Affine3 * affine)
{
bgc_matrix3x3_copy_fp32(distortion, &affine->distortion);
bgc_vector3_copy_fp32(shift, &affine->shift);
bgc_fp32_matrix3x3_copy(distortion, &affine->distortion);
bgc_fp32_vector3_copy(shift, &affine->shift);
}
inline void bgc_affine3_make_fp64(const BgcMatrix3x3FP64 * distortion, const BgcVector3FP64 * shift, BgcAffine3FP64 * affine)
inline void bgc_fp64_affine3_make(const BGC_FP64_Matrix3x3 * distortion, const BGC_FP64_Vector3 * shift, BGC_FP64_Affine3 * affine)
{
bgc_matrix3x3_copy_fp64(distortion, &affine->distortion);
bgc_vector3_copy_fp64(shift, &affine->shift);
bgc_fp64_matrix3x3_copy(distortion, &affine->distortion);
bgc_fp64_vector3_copy(shift, &affine->shift);
}
// ==================== Copy ===================== //
inline void bgc_affine3_copy_fp32(const BgcAffine3FP32 * source, BgcAffine3FP32 * destination)
inline void bgc_fp32_affine3_copy(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination)
{
bgc_matrix3x3_copy_fp32(&source->distortion, &destination->distortion);
bgc_vector3_copy_fp32(&source->shift, &destination->shift);
bgc_fp32_matrix3x3_copy(&source->distortion, &destination->distortion);
bgc_fp32_vector3_copy(&source->shift, &destination->shift);
}
inline void bgc_affine3_copy_fp64(const BgcAffine3FP64 * source, BgcAffine3FP64 * destination)
inline void bgc_fp64_affine3_copy(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination)
{
bgc_matrix3x3_copy_fp64(&source->distortion, &destination->distortion);
bgc_vector3_copy_fp64(&source->shift, &destination->shift);
bgc_fp64_matrix3x3_copy(&source->distortion, &destination->distortion);
bgc_fp64_vector3_copy(&source->shift, &destination->shift);
}
// ==================== Swap ===================== //
inline void bgc_fp32_affine3_swap(BGC_FP32_Affine3 * first, BGC_FP32_Affine3 * second)
{
bgc_fp32_matrix3x3_copy(&first->distortion, &second->distortion);
bgc_fp32_vector3_copy(&first->shift, &second->shift);
}
inline void bgc_fp64_affine3_swap(BGC_FP64_Affine3 * first, BGC_FP64_Affine3 * second)
{
bgc_fp64_matrix3x3_copy(&first->distortion, &second->distortion);
bgc_fp64_vector3_copy(&first->shift, &second->shift);
}
// =================== Convert =================== //
inline void bgc_affine3_convert_fp64_to_fp32(const BgcAffine3FP64 * source, BgcAffine3FP32 * destination)
inline void bgc_fp64_affine3_convert_to_fp32(const BGC_FP64_Affine3 * source, BGC_FP32_Affine3 * destination)
{
bgc_matrix3x3_convert_fp64_to_fp32(&source->distortion, &destination->distortion);
bgc_vector3_convert_fp64_to_fp32(&source->shift, &destination->shift);
bgc_fp64_matrix3x3_convert_to_fp32(&source->distortion, &destination->distortion);
bgc_fp64_vector3_convert_to_fp32(&source->shift, &destination->shift);
}
inline void bgc_affine3_convert_fp32_to_fp64(const BgcAffine3FP32 * source, BgcAffine3FP64 * destination)
inline void bgc_fp32_affine3_convert_to_fp64(const BGC_FP32_Affine3 * source, BGC_FP64_Affine3 * destination)
{
bgc_matrix3x3_convert_fp32_to_fp64(&source->distortion, &destination->distortion);
bgc_vector3_convert_fp32_to_fp64(&source->shift, &destination->shift);
bgc_fp32_matrix3x3_convert_to_fp64(&source->distortion, &destination->distortion);
bgc_fp32_vector3_convert_to_fp64(&source->shift, &destination->shift);
}
// =================== Invert ==================== //
inline int bgc_affine3_invert_fp32(BgcAffine3FP32 * affine)
inline int bgc_fp32_affine3_invert(BGC_FP32_Affine3 * affine)
{
if (!bgc_matrix3x3_invert_fp32(&affine->distortion, &affine->distortion)) {
if (!bgc_fp32_matrix3x3_invert(&affine->distortion)) {
return 0;
}
bgc_matrix3x3_get_right_product_fp32(&affine->distortion, &affine->shift, &affine->shift);
bgc_vector3_make_opposite_fp32(&affine->shift);
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp32_vector3_revert(&affine->shift);
return 1;
}
inline int bgc_affine3_invert_fp64(BgcAffine3FP64 * affine)
inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3 * affine)
{
if (!bgc_matrix3x3_invert_fp64(&affine->distortion, &affine->distortion)) {
if (!bgc_fp64_matrix3x3_invert(&affine->distortion)) {
return 0;
}
bgc_matrix3x3_get_right_product_fp64(&affine->distortion, &affine->shift, &affine->shift);
bgc_vector3_make_opposite_fp64(&affine->shift);
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp64_vector3_revert(&affine->shift);
return 1;
}
// ================= Get Inverse ================= //
inline int bgc_affine3_get_inverse_fp32(const BgcAffine3FP32 * source, BgcAffine3FP32 * destination)
inline int bgc_fp32_affine3_get_inverse(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination)
{
if (!bgc_matrix3x3_invert_fp32(&source->distortion, &destination->distortion)) {
if (!bgc_fp32_matrix3x3_get_inverse(&source->distortion, &destination->distortion)) {
return 0;
}
bgc_matrix3x3_get_right_product_fp32(&destination->distortion, &source->shift, &destination->shift);
bgc_vector3_make_opposite_fp32(&destination->shift);
bgc_fp32_multiply_matrix3x3_by_vector3(&destination->distortion, &source->shift, &destination->shift);
bgc_fp32_vector3_revert(&destination->shift);
return 1;
}
inline int bgc_affine3_get_inverse_fp64(const BgcAffine3FP64 * source, BgcAffine3FP64 * destination)
inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination)
{
if (!bgc_matrix3x3_invert_fp64(&source->distortion, &destination->distortion)) {
if (!bgc_fp64_matrix3x3_get_inverse(&source->distortion, &destination->distortion)) {
return 0;
}
bgc_matrix3x3_get_right_product_fp64(&destination->distortion, &source->shift, &destination->shift);
bgc_vector3_make_opposite_fp64(&destination->shift);
bgc_fp64_multiply_matrix3x3_by_vector3(&destination->distortion, &source->shift, &destination->shift);
bgc_fp64_vector3_revert(&destination->shift);
return 1;
}
// =================== Combine =================== //
inline void bgc_affine3_combine_fp32(const BgcAffine3FP32 * first, const BgcAffine3FP32 * second, BgcAffine3FP32 * combination)
inline void bgc_fp32_affine3_combine(const BGC_FP32_Affine3 * first, const BGC_FP32_Affine3 * second, BGC_FP32_Affine3 * combination)
{
BgcVector3FP32 first_shift;
bgc_matrix3x3_get_right_product_fp32(&second->distortion, &first->shift, &first_shift);
bgc_matrix_product_3x3_at_3x3_fp32(&second->distortion, &first->distortion, &combination->distortion);
bgc_vector3_add_fp32(&first_shift, &second->shift, &combination->shift);
BGC_FP32_Vector3 first_shift;
bgc_fp32_multiply_matrix3x3_by_vector3(&second->distortion, &first->shift, &first_shift);
bgc_fp32_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp32_vector3_add(&first_shift, &second->shift, &combination->shift);
}
inline void bgc_affine3_combine_fp64(const BgcAffine3FP64 * first, const BgcAffine3FP64 * second, BgcAffine3FP64 * combination)
inline void bgc_fp64_affine3_combine(const BGC_FP64_Affine3 * first, const BGC_FP64_Affine3 * second, BGC_FP64_Affine3 * combination)
{
BgcVector3FP64 first_shift;
bgc_matrix3x3_get_right_product_fp64(&second->distortion, &first->shift, &first_shift);
bgc_matrix_product_3x3_at_3x3_fp64(&second->distortion, &first->distortion, &combination->distortion);
bgc_vector3_add_fp64(&first_shift, &second->shift, &combination->shift);
BGC_FP64_Vector3 first_shift;
bgc_fp64_multiply_matrix3x3_by_vector3(&second->distortion, &first->shift, &first_shift);
bgc_fp64_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp64_vector3_add(&first_shift, &second->shift, &combination->shift);
}
// =============== Transform Point =============== //
inline void bgc_affine3_transform_point_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_point, BgcVector3FP32 * transformed_point)
inline void bgc_fp32_affine3_transform_point(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_point, BGC_FP32_Vector3 * transformed_point)
{
BgcVector3FP32 distorted;
bgc_matrix3x3_get_right_product_fp32(&affine->distortion, initial_point, &distorted);
bgc_vector3_add_fp32(&affine->shift, &distorted, transformed_point);
BGC_FP32_Vector3 distorted;
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, initial_point, &distorted);
bgc_fp32_vector3_add(&affine->shift, &distorted, transformed_point);
}
inline void bgc_affine3_transform_point_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_point, BgcVector3FP64 * transformed_point)
inline void bgc_fp64_affine3_transform_point(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point, BGC_FP64_Vector3 * transformed_point)
{
BgcVector3FP64 distorted;
bgc_matrix3x3_get_right_product_fp64(&affine->distortion, initial_point, &distorted);
bgc_vector3_add_fp64(&affine->shift, &distorted, transformed_point);
BGC_FP64_Vector3 distorted;
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, initial_point, &distorted);
bgc_fp64_vector3_add(&affine->shift, &distorted, transformed_point);
}
// ============== Transform Vector =============== //
inline void bgc_affine3_transform_vector_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_vector, BgcVector3FP32 * transformed_vector)
inline void bgc_fp32_affine3_transform_vector(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_vector, BGC_FP32_Vector3 * transformed_vector)
{
bgc_matrix3x3_get_right_product_fp32(&affine->distortion, initial_vector, transformed_vector);
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, initial_vector, transformed_vector);
}
inline void bgc_affine3_transform_vector_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_vector, BgcVector3FP64 * transformed_vector)
inline void bgc_fp64_affine3_transform_vector(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector, BGC_FP64_Vector3 * transformed_vector)
{
bgc_matrix3x3_get_right_product_fp64(&affine->distortion, initial_vector, transformed_vector);
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, initial_vector, transformed_vector);
}
#endif

View file

@ -3,65 +3,59 @@
// !================= Radians ==================! //
extern inline float bgc_radians_to_degrees_fp32(const float radians);
extern inline double bgc_radians_to_degrees_fp64(const double radians);
extern inline float bgc_fp32_radians_to_degrees(const float radians);
extern inline double bgc_fp64_radians_to_degrees(const double radians);
extern inline float bgc_radians_to_turns_fp32(const float radians);
extern inline double bgc_radians_to_turns_fp64(const double radians);
extern inline float bgc_fp32_radians_to_turns(const float radians);
extern inline double bgc_fp64_radians_to_turns(const double radians);
extern inline float bgc_radians_to_units_fp32(const float radians, const BgcAngleUnitEnum to_unit);
extern inline double bgc_radians_to_units_fp64(const double radians, const BgcAngleUnitEnum to_unit);
extern inline float bgc_fp32_radians_to_units(const float radians, const int angle_unit);
extern inline double bgc_fp64_radians_to_units(const double radians, const int angle_unit);
extern inline float bgc_radians_normalize_fp32(const float radians, const BgcAngleRangeEnum range);
extern inline double bgc_radians_normalize_fp64(const double radians, const BgcAngleRangeEnum range);
extern inline float bgc_fp32_normalize_radians(const float radians, const int angle_range);
extern inline double bgc_fp64_normalize_radians(const double radians, const int angle_range);
// !================= Degrees ==================! //
extern inline float bgc_degrees_to_radians_fp32(const float degrees);
extern inline double bgc_degrees_to_radians_fp64(const double degrees);
extern inline float bgc_fp32_degrees_to_radians(const float degrees);
extern inline double bgc_fp64_degrees_to_radians(const double degrees);
extern inline float bgc_degrees_to_turns_fp32(const float radians);
extern inline double bgc_degrees_to_turns_fp64(const double radians);
extern inline float bgc_fp32_degrees_to_turns(const float radians);
extern inline double bgc_fp64_degrees_to_turns(const double radians);
extern inline float bgc_degrees_to_units_fp32(const float degrees, const BgcAngleUnitEnum to_unit);
extern inline double bgc_degrees_to_units_fp64(const double degrees, const BgcAngleUnitEnum to_unit);
extern inline float bgc_fp32_degrees_to_units(const float degrees, const int angle_unit);
extern inline double bgc_fp64_degrees_to_units(const double degrees, const int angle_unit);
extern inline float bgc_degrees_normalize_fp32(const float degrees, const BgcAngleRangeEnum range);
extern inline double bgc_degrees_normalize_fp64(const double degrees, const BgcAngleRangeEnum range);
extern inline float bgc_fp32_normalize_degrees(const float degrees, const int angle_range);
extern inline double bgc_fp64_degrees_normalize(const double degrees, const int angle_range);
// !================== Turns ===================! //
extern inline float bgc_turns_to_radians_fp32(const float turns);
extern inline double bgc_turns_to_radians_fp64(const double turns);
extern inline float bgc_fp32_turns_to_radians(const float turns);
extern inline double bgc_fp64_turns_to_radians(const double turns);
extern inline float bgc_turns_to_degrees_fp32(const float turns);
extern inline double bgc_turns_to_degrees_fp64(const double turns);
extern inline float bgc_fp32_turns_to_degrees(const float turns);
extern inline double bgc_fp64_turns_to_degrees(const double turns);
extern inline float bgc_turns_to_units_fp32(const float turns, const BgcAngleUnitEnum to_unit);
extern inline double bgc_turns_to_units_fp64(const double turns, const BgcAngleUnitEnum to_unit);
extern inline float bgc_fp32_turns_to_units(const float turns, const int angle_unit);
extern inline double bgc_fp64_turns_to_units(const double turns, const int angle_unit);
extern inline float bgc_turns_normalize_fp32(const float turns, const BgcAngleRangeEnum range);
extern inline double bgc_turns_normalize_fp64(const double turns, const BgcAngleRangeEnum range);
extern inline float bgc_fp32_normalize_turns(const float turns, const int angle_range);
extern inline double bgc_fp64_normalize_turns(const double turns, const int angle_range);
// !================== Angle ===================! //
extern inline float bgc_angle_to_radians_fp32(const float angle, const BgcAngleUnitEnum unit);
extern inline double bgc_angle_to_radians_fp64(const double angle, const BgcAngleUnitEnum unit);
extern inline float bgc_fp32_angle_to_radians(const float angle, const int angle_unit);
extern inline double bgc_fp64_angle_to_radians(const double angle, const int angle_unit);
extern inline float bgc_angle_to_degrees_fp32(const float angle, const BgcAngleUnitEnum unit);
extern inline double bgc_angle_to_degrees_fp64(const double angle, const BgcAngleUnitEnum unit);
extern inline float bgc_fp32_angle_to_degrees(const float angle, const int angle_unit);
extern inline double bgc_fp64_angle_to_degrees(const double angle, const int angle_unit);
extern inline float bgc_angle_to_turns_fp32(const float angle, const BgcAngleUnitEnum unit);
extern inline double bgc_angle_to_turns_fp64(const double angle, const BgcAngleUnitEnum unit);
extern inline float bgc_fp32_angle_to_turns(const float angle, const int angle_unit);
extern inline double bgc_fp64_angle_to_turns(const double angle, const int angle_unit);
extern inline float bgc_angle_get_full_circle_fp32(const BgcAngleUnitEnum unit);
extern inline double bgc_angle_get_full_circle_fp64(const BgcAngleUnitEnum unit);
extern inline float bgc_fp32_full_circle(const int angle_unit);
extern inline double bgc_fp64_full_circle(const int angle_unit);
extern inline float bgc_angle_get_half_circle_fp32(const BgcAngleUnitEnum unit);
extern inline double bgc_angle_get_half_circle_fp64(const BgcAngleUnitEnum unit);
extern inline float bgc_angle_get_quater_circle_fp32(const BgcAngleUnitEnum unit);
extern inline double bgc_angle_get_quater_circle_fp64(const BgcAngleUnitEnum unit);
extern inline float bgc_angle_normalize_fp32(const float angle, const BgcAngleUnitEnum unit, const BgcAngleRangeEnum range);
extern inline double bgc_angle_normalize_fp64(const double angle, const BgcAngleUnitEnum unit, const BgcAngleRangeEnum range);
extern inline float bgc_fp32_normalize_angle(const float angle, const int angle_unit, const int angle_range);
extern inline double bgc_fp64_normalize_angle(const double angle, const int angle_unit, const int angle_range);

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@ -4,99 +4,95 @@
#include <math.h>
#include "utilities.h"
#define BGC_PI_FP32 3.1415926536f
#define BGC_TWO_PI_FP32 6.2831853072f
#define BGC_HALF_OF_PI_FP32 1.5707963268f
#define BGC_THIRD_OF_PI_FP32 1.0471975512f
#define BGC_FOURTH_OF_PI_FP32 0.7853981634f
#define BGC_SIXTH_OF_PI_FP32 0.5235987756f
#define BGC_FP32_PI 3.1415926536f
#define BGC_FP32_TWO_PI 6.2831853072f
#define BGC_FP32_HALF_OF_PI 1.5707963268f
#define BGC_FP32_ONE_THIRD_OF_PI 1.0471975512f
#define BGC_FP32_ONE_FOURTH_OF_PI 0.7853981634f
#define BGC_FP32_ONE_SIXTH_OF_PI 0.5235987756f
#define BGC_DEGREES_IN_RADIAN_FP32 57.295779513f
#define BGC_TURNS_IN_RADIAN_FP32 0.1591549431f
#define BGC_RADIANS_IN_DEGREE_FP32 1.745329252E-2f
#define BGC_TURNS_IN_DEGREE_FP32 2.7777777778E-3f
#define BGC_FP32_DEGREES_IN_RADIAN 57.295779513f
#define BGC_FP32_TURNS_IN_RADIAN 0.1591549431f
#define BGC_FP32_RADIANS_IN_DEGREE 1.745329252E-2f
#define BGC_FP32_TURNS_IN_DEGREE 2.7777777778E-3f
#define BGC_PI_FP64 3.14159265358979324
#define BGC_TWO_PI_FP64 6.28318530717958648
#define BGC_HALF_OF_PI_FP64 1.57079632679489662
#define BGC_THIRD_OF_PI_FP64 1.04719755119659775
#define BGC_FOURTH_OF_PI_FP64 0.78539816339744831
#define BGC_SIXTH_OF_PI_FP64 0.523598775598298873
#define BGC_FP64_PI 3.14159265358979324
#define BGC_FP64_TWO_PI 6.28318530717958648
#define BGC_FP64_HALF_OF_PI 1.57079632679489662
#define BGC_FP64_ONE_THIRD_OF_PI 1.04719755119659775
#define BGC_FP64_ONE_FOURTH_OF_PI 0.78539816339744831
#define BGC_FP64_ONE_SIXTH_OF_PI 0.523598775598298873
#define BGC_DEGREES_IN_RADIAN_FP64 57.2957795130823209
#define BGC_TURNS_IN_RADIAN_FP64 0.159154943091895336
#define BGC_RADIANS_IN_DEGREE_FP64 1.74532925199432958E-2
#define BGC_TURNS_IN_DEGREE_FP64 2.77777777777777778E-3
#define BGC_FP64_DEGREES_IN_RADIAN 57.2957795130823209
#define BGC_FP64_TURNS_IN_RADIAN 0.159154943091895336
#define BGC_FP64_RADIANS_IN_DEGREE 1.74532925199432958E-2
#define BGC_FP64_TURNS_IN_DEGREE 2.77777777777777778E-3
typedef enum {
BGC_ANGLE_UNIT_RADIANS = 1,
BGC_ANGLE_UNIT_DEGREES = 2,
BGC_ANGLE_UNIT_TURNS = 3
} BgcAngleUnitEnum;
#define BGC_ANGLE_UNIT_RADIANS 1
#define BGC_ANGLE_UNIT_DEGREES 2
#define BGC_ANGLE_UNIT_TURNS 3
typedef enum {
/**
* The measure of an angle with a range of:
* [0, 360) degrees, [0, 2xPI) radians, [0, 1) turns, [0, 400) gradians
*/
BGC_ANGLE_RANGE_UNSIGNED = 1,
/**
* The measure of an angle with a range of:
* [0, 360) degrees, [0, 2xPI) radians, [0, 1) turns, [0, 400) gradians
*/
#define BGC_ANGLE_RANGE_UNSIGNED 1
/**
* The measure of an angle with a range of:
* (-180, 180] degrees, (-PI, PI] radians, (-0.5, 0.5] turns, (-200, 200] gradians
*/
BGC_ANGLE_RANGE_SIGNED = 2
} BgcAngleRangeEnum;
/**
* The measure of an angle with a range of:
* (-180, 180] degrees, (-PI, PI] radians, (-0.5, 0.5] turns, (-200, 200] gradians
*/
#define BGC_ANGLE_RANGE_SIGNED 2
// !================= Radians ==================! //
// ========= Convert radians to degrees ========= //
inline float bgc_radians_to_degrees_fp32(const float radians)
inline float bgc_fp32_radians_to_degrees(const float radians)
{
return radians * BGC_DEGREES_IN_RADIAN_FP32;
return radians * BGC_FP32_DEGREES_IN_RADIAN;
}
inline double bgc_radians_to_degrees_fp64(const double radians)
inline double bgc_fp64_radians_to_degrees(const double radians)
{
return radians * BGC_DEGREES_IN_RADIAN_FP64;
return radians * BGC_FP64_DEGREES_IN_RADIAN;
}
// ========== Convert radians to turns ========== //
inline float bgc_radians_to_turns_fp32(const float radians)
inline float bgc_fp32_radians_to_turns(const float radians)
{
return radians * BGC_TURNS_IN_RADIAN_FP32;
return radians * BGC_FP32_TURNS_IN_RADIAN;
}
inline double bgc_radians_to_turns_fp64(const double radians)
inline double bgc_fp64_radians_to_turns(const double radians)
{
return radians * BGC_TURNS_IN_RADIAN_FP64;
return radians * BGC_FP64_TURNS_IN_RADIAN;
}
// ========= Convert radians to any unit ======== //
inline float bgc_radians_to_units_fp32(const float radians, const BgcAngleUnitEnum to_unit)
inline float bgc_fp32_radians_to_units(const float radians, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_DEGREES) {
return radians * BGC_DEGREES_IN_RADIAN_FP32;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return radians * BGC_FP32_DEGREES_IN_RADIAN;
}
if (to_unit == BGC_ANGLE_UNIT_TURNS) {
return radians * BGC_TURNS_IN_RADIAN_FP32;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return radians * BGC_FP32_TURNS_IN_RADIAN;
}
return radians;
}
inline double bgc_radians_to_units_fp64(const double radians, const BgcAngleUnitEnum to_unit)
inline double bgc_fp64_radians_to_units(const double radians, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_DEGREES) {
return radians * BGC_DEGREES_IN_RADIAN_FP64;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return radians * BGC_FP64_DEGREES_IN_RADIAN;
}
if (to_unit == BGC_ANGLE_UNIT_TURNS) {
return radians * BGC_TURNS_IN_RADIAN_FP64;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return radians * BGC_FP64_TURNS_IN_RADIAN;
}
return radians;
@ -104,103 +100,103 @@ inline double bgc_radians_to_units_fp64(const double radians, const BgcAngleUnit
// ============ Normalize radians ============= //
inline float bgc_radians_normalize_fp32(const float radians, const BgcAngleRangeEnum range)
inline float bgc_fp32_normalize_radians(const float radians, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0f <= radians && radians < BGC_TWO_PI_FP32) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0f <= radians && radians < BGC_FP32_TWO_PI) {
return radians;
}
}
else {
if (-BGC_PI_FP32 < radians && radians <= BGC_PI_FP32) {
if (-BGC_FP32_PI < radians && radians <= BGC_FP32_PI) {
return radians;
}
}
float turns = radians * BGC_TURNS_IN_RADIAN_FP32;
float turns = radians * BGC_FP32_TURNS_IN_RADIAN;
turns -= floorf(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5f) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5f) {
turns -= 1.0f;
}
return turns * BGC_TWO_PI_FP32;
return turns * BGC_FP32_TWO_PI;
}
inline double bgc_radians_normalize_fp64(const double radians, const BgcAngleRangeEnum range)
inline double bgc_fp64_normalize_radians(const double radians, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0 <= radians && radians < BGC_TWO_PI_FP64) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0 <= radians && radians < BGC_FP64_TWO_PI) {
return radians;
}
}
else {
if (-BGC_PI_FP64 < radians && radians <= BGC_PI_FP64) {
if (-BGC_FP64_PI < radians && radians <= BGC_FP64_PI) {
return radians;
}
}
double turns = radians * BGC_TURNS_IN_RADIAN_FP64;
double turns = radians * BGC_FP64_TURNS_IN_RADIAN;
turns -= floor(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5) {
turns -= 1.0;
}
return turns * BGC_TWO_PI_FP64;
return turns * BGC_FP64_TWO_PI;
}
// !================= Degrees ==================! //
// ========= Convert degrees to radians ========= //
inline float bgc_degrees_to_radians_fp32(const float degrees)
inline float bgc_fp32_degrees_to_radians(const float degrees)
{
return degrees * BGC_RADIANS_IN_DEGREE_FP32;
return degrees * BGC_FP32_RADIANS_IN_DEGREE;
}
inline double bgc_degrees_to_radians_fp64(const double degrees)
inline double bgc_fp64_degrees_to_radians(const double degrees)
{
return degrees * BGC_RADIANS_IN_DEGREE_FP64;
return degrees * BGC_FP64_RADIANS_IN_DEGREE;
}
// ========== Convert degrees to turns ========== //
inline float bgc_degrees_to_turns_fp32(const float radians)
inline float bgc_fp32_degrees_to_turns(const float radians)
{
return radians * BGC_TURNS_IN_DEGREE_FP32;
return radians * BGC_FP32_TURNS_IN_DEGREE;
}
inline double bgc_degrees_to_turns_fp64(const double radians)
inline double bgc_fp64_degrees_to_turns(const double radians)
{
return radians * BGC_TURNS_IN_DEGREE_FP64;
return radians * BGC_FP64_TURNS_IN_DEGREE;
}
// ========= Convert degreess to any unit ======== //
inline float bgc_degrees_to_units_fp32(const float degrees, const BgcAngleUnitEnum to_unit)
inline float bgc_fp32_degrees_to_units(const float degrees, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_RADIANS) {
return degrees * BGC_RADIANS_IN_DEGREE_FP32;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return degrees * BGC_FP32_RADIANS_IN_DEGREE;
}
if (to_unit == BGC_ANGLE_UNIT_TURNS) {
return degrees * BGC_TURNS_IN_DEGREE_FP32;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return degrees * BGC_FP32_TURNS_IN_DEGREE;
}
return degrees;
}
inline double bgc_degrees_to_units_fp64(const double degrees, const BgcAngleUnitEnum to_unit)
inline double bgc_fp64_degrees_to_units(const double degrees, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_RADIANS) {
return degrees * BGC_RADIANS_IN_DEGREE_FP64;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return degrees * BGC_FP64_RADIANS_IN_DEGREE;
}
if (to_unit == BGC_ANGLE_UNIT_TURNS) {
return degrees * BGC_TURNS_IN_DEGREE_FP64;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return degrees * BGC_FP64_TURNS_IN_DEGREE;
}
return degrees;
@ -208,9 +204,9 @@ inline double bgc_degrees_to_units_fp64(const double degrees, const BgcAngleUnit
// ============ Normalize degrees ============= //
inline float bgc_degrees_normalize_fp32(const float degrees, const BgcAngleRangeEnum range)
inline float bgc_fp32_normalize_degrees(const float degrees, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0f <= degrees && degrees < 360.0f) {
return degrees;
}
@ -221,20 +217,20 @@ inline float bgc_degrees_normalize_fp32(const float degrees, const BgcAngleRange
}
}
float turns = degrees * BGC_TURNS_IN_DEGREE_FP32;
float turns = degrees * BGC_FP32_TURNS_IN_DEGREE;
turns -= floorf(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5f) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5f) {
turns -= 1.0f;
}
return turns * 360.0f;
}
inline double bgc_degrees_normalize_fp64(const double degrees, const BgcAngleRangeEnum range)
inline double bgc_fp64_degrees_normalize(const double degrees, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0 <= degrees && degrees < 360.0) {
return degrees;
}
@ -245,11 +241,11 @@ inline double bgc_degrees_normalize_fp64(const double degrees, const BgcAngleRan
}
}
double turns = degrees * BGC_TURNS_IN_DEGREE_FP64;
double turns = degrees * BGC_FP64_TURNS_IN_DEGREE;
turns -= floor(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && turns > 0.5) {
turns -= 1.0;
}
@ -260,50 +256,50 @@ inline double bgc_degrees_normalize_fp64(const double degrees, const BgcAngleRan
// ========== Convert turns to radians ========== //
inline float bgc_turns_to_radians_fp32(const float turns)
inline float bgc_fp32_turns_to_radians(const float turns)
{
return turns * BGC_TWO_PI_FP32;
return turns * BGC_FP32_TWO_PI;
}
inline double bgc_turns_to_radians_fp64(const double turns)
inline double bgc_fp64_turns_to_radians(const double turns)
{
return turns * BGC_TWO_PI_FP64;
return turns * BGC_FP64_TWO_PI;
}
// ========== Convert turns to degrees ========== //
inline float bgc_turns_to_degrees_fp32(const float turns)
inline float bgc_fp32_turns_to_degrees(const float turns)
{
return turns * 360.0f;
}
inline double bgc_turns_to_degrees_fp64(const double turns)
inline double bgc_fp64_turns_to_degrees(const double turns)
{
return turns * 360.0;
}
// ========= Convert turns to any unit ======== //
inline float bgc_turns_to_units_fp32(const float turns, const BgcAngleUnitEnum to_unit)
inline float bgc_fp32_turns_to_units(const float turns, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_RADIANS) {
return turns * BGC_TWO_PI_FP32;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return turns * BGC_FP32_TWO_PI;
}
if (to_unit == BGC_ANGLE_UNIT_DEGREES) {
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return turns * 360.0f;
}
return turns;
}
inline double bgc_turns_to_units_fp64(const double turns, const BgcAngleUnitEnum to_unit)
inline double bgc_fp64_turns_to_units(const double turns, const int angle_unit)
{
if (to_unit == BGC_ANGLE_UNIT_RADIANS) {
return turns * BGC_TWO_PI_FP64;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return turns * BGC_FP64_TWO_PI;
}
if (to_unit == BGC_ANGLE_UNIT_DEGREES) {
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return turns * 360.0;
}
@ -312,9 +308,9 @@ inline double bgc_turns_to_units_fp64(const double turns, const BgcAngleUnitEnum
// ============= Normalize turns ============== //
inline float bgc_turns_normalize_fp32(const float turns, const BgcAngleRangeEnum range)
inline float bgc_fp32_normalize_turns(const float turns, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0f <= turns && turns < 1.0f) {
return turns;
}
@ -327,16 +323,16 @@ inline float bgc_turns_normalize_fp32(const float turns, const BgcAngleRangeEnum
float rest = turns - floorf(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && rest > 0.5f) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && rest > 0.5f) {
return rest - 1.0f;
}
return rest;
}
inline double bgc_turns_normalize_fp64(const double turns, const BgcAngleRangeEnum range)
inline double bgc_fp64_normalize_turns(const double turns, const int angle_range)
{
if (range == BGC_ANGLE_RANGE_UNSIGNED) {
if (angle_range == BGC_ANGLE_RANGE_UNSIGNED) {
if (0.0 <= turns && turns < 1.0) {
return turns;
}
@ -349,7 +345,7 @@ inline double bgc_turns_normalize_fp64(const double turns, const BgcAngleRangeEn
double rest = turns - floor(turns);
if (range == BGC_ANGLE_RANGE_SIGNED && rest > 0.5) {
if (angle_range == BGC_ANGLE_RANGE_SIGNED && rest > 0.5) {
return rest - 1.0;
}
@ -360,27 +356,27 @@ inline double bgc_turns_normalize_fp64(const double turns, const BgcAngleRangeEn
// ========= Convert any unit to radians ======== //
inline float bgc_angle_to_radians_fp32(const float angle, const BgcAngleUnitEnum unit)
inline float bgc_fp32_angle_to_radians(const float angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_RADIANS_IN_DEGREE_FP32;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_FP32_RADIANS_IN_DEGREE;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return angle * BGC_TWO_PI_FP32;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return angle * BGC_FP32_TWO_PI;
}
return angle;
}
inline double bgc_angle_to_radians_fp64(const double angle, const BgcAngleUnitEnum unit)
inline double bgc_fp64_angle_to_radians(const double angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_RADIANS_IN_DEGREE_FP64;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_FP64_RADIANS_IN_DEGREE;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return angle * BGC_TWO_PI_FP64;
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return angle * BGC_FP64_TWO_PI;
}
return angle;
@ -388,26 +384,26 @@ inline double bgc_angle_to_radians_fp64(const double angle, const BgcAngleUnitEn
// ========= Convert any unit to degreess ======== //
inline float bgc_angle_to_degrees_fp32(const float angle, const BgcAngleUnitEnum unit)
inline float bgc_fp32_angle_to_degrees(const float angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_DEGREES_IN_RADIAN_FP32;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_FP32_DEGREES_IN_RADIAN;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return angle * 360.0f;
}
return angle;
}
inline double bgc_angle_to_degrees_fp64(const double angle, const BgcAngleUnitEnum unit)
inline double bgc_fp64_angle_to_degrees(const double angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_DEGREES_IN_RADIAN_FP64;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_FP64_DEGREES_IN_RADIAN;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return angle * 360.0;
}
@ -416,27 +412,27 @@ inline double bgc_angle_to_degrees_fp64(const double angle, const BgcAngleUnitEn
// ========= Convert any unit to turns ======== //
inline float bgc_angle_to_turns_fp32(const float angle, const BgcAngleUnitEnum unit)
inline float bgc_fp32_angle_to_turns(const float angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_TURNS_IN_RADIAN_FP32;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_FP32_TURNS_IN_RADIAN;
}
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_TURNS_IN_DEGREE_FP32;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_FP32_TURNS_IN_DEGREE;
}
return angle;
}
inline double bgc_angle_to_turns_fp64(const double angle, const BgcAngleUnitEnum unit)
inline double bgc_fp64_angle_to_turns(const double angle, const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_TURNS_IN_RADIAN_FP64;
if (angle_unit == BGC_ANGLE_UNIT_RADIANS) {
return angle * BGC_FP64_TURNS_IN_RADIAN;
}
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_TURNS_IN_DEGREE_FP64;
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return angle * BGC_FP64_TURNS_IN_DEGREE;
}
return angle;
@ -444,114 +440,58 @@ inline double bgc_angle_to_turns_fp64(const double angle, const BgcAngleUnitEnum
// ============= Get Full Circle ============== //
inline float bgc_angle_get_full_circle_fp32(const BgcAngleUnitEnum unit)
inline float bgc_fp32_full_circle(const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return 360.0f;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return 1.0f;
}
return BGC_TWO_PI_FP32;
return BGC_FP32_TWO_PI;
}
inline double bgc_angle_get_full_circle_fp64(const BgcAngleUnitEnum unit)
inline double bgc_fp64_full_circle(const int angle_unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return 360.0;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return 1.0;
}
return BGC_TWO_PI_FP64;
}
// ============= Get Half Circle ============== //
inline float bgc_angle_get_half_circle_fp32(const BgcAngleUnitEnum unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return 180.0f;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return 0.5f;
}
return BGC_PI_FP32;
}
inline double bgc_angle_get_half_circle_fp64(const BgcAngleUnitEnum unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return 180.0;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return 0.5;
}
return BGC_PI_FP64;
}
// ============= Get Half Circle ============== //
inline float bgc_angle_get_quater_circle_fp32(const BgcAngleUnitEnum unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return 90.0f;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return 0.25f;
}
return BGC_HALF_OF_PI_FP32;
}
inline double bgc_angle_get_quater_circle_fp64(const BgcAngleUnitEnum unit)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return 90.0;
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return 0.25;
}
return BGC_HALF_OF_PI_FP64;
return BGC_FP64_TWO_PI;
}
// ================ Normalize ================= //
inline float bgc_angle_normalize_fp32(const float angle, const BgcAngleUnitEnum unit, const BgcAngleRangeEnum range)
inline float bgc_fp32_normalize_angle(const float angle, const int angle_unit, const int angle_range)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return bgc_degrees_normalize_fp32(angle, range);
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return bgc_fp32_normalize_degrees(angle, angle_range);
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return bgc_turns_normalize_fp32(angle, range);
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return bgc_fp32_normalize_turns(angle, angle_range);
}
return bgc_radians_normalize_fp32(angle, range);
return bgc_fp32_normalize_radians(angle, angle_range);
}
inline double bgc_angle_normalize_fp64(const double angle, const BgcAngleUnitEnum unit, const BgcAngleRangeEnum range)
inline double bgc_fp64_normalize_angle(const double angle, const int angle_unit, const int angle_range)
{
if (unit == BGC_ANGLE_UNIT_DEGREES) {
return bgc_degrees_normalize_fp64(angle, range);
if (angle_unit == BGC_ANGLE_UNIT_DEGREES) {
return bgc_fp64_degrees_normalize(angle, angle_range);
}
if (unit == BGC_ANGLE_UNIT_TURNS) {
return bgc_turns_normalize_fp64(angle, range);
if (angle_unit == BGC_ANGLE_UNIT_TURNS) {
return bgc_fp64_normalize_turns(angle, angle_range);
}
return bgc_radians_normalize_fp64(angle, range);
return bgc_fp64_normalize_radians(angle, angle_range);
}
#endif

View file

@ -100,6 +100,10 @@
<Option compilerVar="CC" />
</Unit>
<Unit filename="rotation3.h" />
<Unit filename="slerp.c">
<Option compilerVar="CC" />
</Unit>
<Unit filename="slerp.h" />
<Unit filename="utilities.c">
<Option compilerVar="CC" />
</Unit>

View file

@ -1,96 +1,96 @@
#include "./complex.h"
extern inline void bgc_complex_reset_fp32(BgcComplexFP32* complex);
extern inline void bgc_complex_reset_fp64(BgcComplexFP64* complex);
extern inline void bgc_fp32_complex_reset(BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_reset(BGC_FP64_Complex* complex);
extern inline void bgc_complex_set_values_fp32(const float real, const float imaginary, BgcComplexFP32* destination);
extern inline void bgc_complex_set_values_fp64(const double real, const double imaginary, BgcComplexFP64* destination);
extern inline void bgc_fp32_complex_make(const float real, const float imaginary, BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex);
extern inline float bgc_complex_get_square_modulus_fp32(const BgcComplexFP32* number);
extern inline double bgc_complex_get_square_modulus_fp64(const BgcComplexFP64* number);
extern inline float bgc_fp32_complex_get_square_modulus(const BGC_FP32_Complex* number);
extern inline double bgc_fp64_complex_get_square_modulus(const BGC_FP64_Complex* number);
extern inline float bgc_complex_get_modulus_fp32(const BgcComplexFP32* number);
extern inline double bgc_complex_get_modulus_fp64(const BgcComplexFP64* number);
extern inline float bgc_fp32_complex_get_modulus(const BGC_FP32_Complex* number);
extern inline double bgc_fp64_complex_get_modulus(const BGC_FP64_Complex* number);
extern inline int bgc_complex_is_zero_fp32(const BgcComplexFP32* number);
extern inline int bgc_complex_is_zero_fp64(const BgcComplexFP64* number);
extern inline int bgc_fp32_complex_is_zero(const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_is_zero(const BGC_FP64_Complex* number);
extern inline int bgc_complex_is_unit_fp32(const BgcComplexFP32* number);
extern inline int bgc_complex_is_unit_fp64(const BgcComplexFP64* number);
extern inline int bgc_fp32_complex_is_unit(const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_is_unit(const BGC_FP64_Complex* number);
extern inline void bgc_complex_copy_fp32(const BgcComplexFP32* source, BgcComplexFP32* destination);
extern inline void bgc_complex_copy_fp64(const BgcComplexFP64* source, BgcComplexFP64* destination);
extern inline void bgc_fp32_complex_copy(const BGC_FP32_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination);
extern inline void bgc_complex_swap_fp32(BgcComplexFP32* number1, BgcComplexFP32* number2);
extern inline void bgc_complex_swap_fp64(BgcComplexFP64* number1, BgcComplexFP64* number2);
extern inline void bgc_fp32_complex_swap(BGC_FP32_Complex* number1, BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_swap(BGC_FP64_Complex* number1, BGC_FP64_Complex* number2);
extern inline void bgc_complex_convert_fp64_to_fp32(const BgcComplexFP64* source, BgcComplexFP32* destination);
extern inline void bgc_complex_convert_fp32_to_fp64(const BgcComplexFP32* source, BgcComplexFP64* destination);
extern inline void bgc_fp64_complex_convert_to_fp32(const BGC_FP64_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination);
extern inline void bgc_complex_make_opposite_fp32(BgcComplexFP32* number);
extern inline void bgc_complex_make_opposite_fp64(BgcComplexFP64* number);
extern inline void bgc_fp32_complex_revert(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_revert(BGC_FP64_Complex* number);
extern inline void bgc_complex_get_opposite_fp32(const BgcComplexFP32* number, BgcComplexFP32* opposite);
extern inline void bgc_complex_get_opposite_fp64(const BgcComplexFP64* number, BgcComplexFP64* opposite);
extern inline void bgc_fp32_complex_get_reverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* opposite);
extern inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite);
extern inline int bgc_complex_normalize_fp32(BgcComplexFP32* number);
extern inline int bgc_complex_normalize_fp64(BgcComplexFP64* number);
extern inline int bgc_fp32_complex_normalize(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_normalize(BGC_FP64_Complex* number);
extern inline int bgc_complex_get_normalized_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized);
extern inline int bgc_complex_get_normalized_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized);
extern inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_FP32_Complex* normalized);
extern inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized);
extern inline void bgc_complex_conjugate_fp32(BgcComplexFP32* number);
extern inline void bgc_complex_conjugate_fp64(BgcComplexFP64* number);
extern inline void bgc_fp32_complex_conjugate(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_conjugate(BGC_FP64_Complex* number);
extern inline void bgc_complex_get_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate);
extern inline void bgc_complex_get_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate);
extern inline void bgc_fp32_complex_get_conjugate(const BGC_FP32_Complex* number, BGC_FP32_Complex* conjugate);
extern inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate);
extern inline int bgc_complex_invert_fp32(BgcComplexFP32* number);
extern inline int bgc_complex_invert_fp64(BgcComplexFP64* number);
extern inline int bgc_fp32_complex_invert(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_invert(BGC_FP64_Complex* number);
extern inline int bgc_complex_get_inverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverse);
extern inline int bgc_complex_get_inverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverse);
extern inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* inverse);
extern inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse);
extern inline void bgc_complex_multiply_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* result);
extern inline void bgc_complex_multiply_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* result);
extern inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product);
extern inline int bgc_complex_devide_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient);
extern inline int bgc_complex_devide_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient);
extern inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor, BGC_FP32_Complex* quotient);
extern inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient);
extern inline void bgc_complex_add_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* sum);
extern inline void bgc_complex_add_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* sum);
extern inline void bgc_fp32_complex_add(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* sum);
extern inline void bgc_complex_add_scaled_fp32(const BgcComplexFP32* basic_number, const BgcComplexFP32* scalable_number, const float scale, BgcComplexFP32* sum);
extern inline void bgc_complex_add_scaled_fp64(const BgcComplexFP64* basic_number, const BgcComplexFP64* scalable_number, const double scale, BgcComplexFP64* sum);
extern inline void bgc_fp32_complex_add_scaled(const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum);
extern inline void bgc_complex_subtract_fp32(const BgcComplexFP32* minuend, const BgcComplexFP32* subtrahend, BgcComplexFP32* difference);
extern inline void bgc_complex_subtract_fp64(const BgcComplexFP64* minuend, const BgcComplexFP64* subtrahend, BgcComplexFP64* difference);
extern inline void bgc_fp32_complex_subtract(const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend, BGC_FP32_Complex* difference);
extern inline void bgc_fp64_complex_subtract(const BGC_FP64_Complex* minuend, const BGC_FP64_Complex* subtrahend, BGC_FP64_Complex* difference);
extern inline void bgc_complex_multiply_by_number_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product);
extern inline void bgc_complex_multiply_by_number_fp64(const BgcComplexFP64* multiplicand, const double multiplier, BgcComplexFP64* product);
extern inline void bgc_fp32_complex_multiply(const BGC_FP32_Complex* multiplicand, const float multiplier, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product);
extern inline void bgc_complex_divide_by_number_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient);
extern inline void bgc_complex_divide_by_number_fp64(const BgcComplexFP64* dividend, const double divisor, BgcComplexFP64* quotient);
extern inline void bgc_fp32_complex_divide(const BGC_FP32_Complex* dividend, const float divisor, BGC_FP32_Complex* quotient);
extern inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient);
extern inline void bgc_complex_get_mean_of_two_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* mean);
extern inline void bgc_complex_get_mean_of_two_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* mean);
extern inline void bgc_fp32_complex_get_mean2(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean);
extern inline void bgc_complex_get_mean_of_three_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const BgcComplexFP32* number3, BgcComplexFP32* mean);
extern inline void bgc_complex_get_mean_of_three_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const BgcComplexFP64* number3, BgcComplexFP64* mean);
extern inline void bgc_fp32_complex_get_mean3(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean);
extern inline void bgc_complex_interpolate_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation);
extern inline void bgc_complex_interpolate_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation);
extern inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase, BGC_FP32_Complex* interpolation);
extern inline void bgc_fp64_complex_interpolate(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation);
extern inline int bgc_complex_are_close_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2);
extern inline int bgc_complex_are_close_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2);
extern inline int bgc_fp32_complex_are_close(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline int bgc_fp64_complex_are_close(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);
// =============== Get Exponation =============== //
void bgc_complex_get_exponation_fp32(const BgcComplexFP32* base, const float real_exponent, const float imaginary_exponent, BgcComplexFP32* power)
void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent, BGC_FP32_Complex* power)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(base);
const float square_modulus = bgc_fp32_complex_get_square_modulus(base);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON) {
power->real = 0.0f;
power->imaginary = 0.0f;
return;
@ -106,11 +106,11 @@ void bgc_complex_get_exponation_fp32(const BgcComplexFP32* base, const float rea
power->imaginary = power_modulus * sinf(power_angle);
}
void bgc_complex_get_exponation_fp64(const BgcComplexFP64* base, const double real_exponent, const double imaginary_exponent, BgcComplexFP64* power)
void bgc_fp64_complex_get_exponation(const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent, BGC_FP64_Complex* power)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(base);
const double square_modulus = bgc_fp64_complex_get_square_modulus(base);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON) {
power->real = 0.0;
power->imaginary = 0.0;
return;

View file

@ -9,22 +9,22 @@
typedef struct
{
float real, imaginary;
} BgcComplexFP32;
} BGC_FP32_Complex;
typedef struct
{
double real, imaginary;
} BgcComplexFP64;
} BGC_FP64_Complex;
// =================== Reset ==================== //
inline void bgc_complex_reset_fp32(BgcComplexFP32* complex)
inline void bgc_fp32_complex_reset(BGC_FP32_Complex* complex)
{
complex->real = 0.0f;
complex->imaginary = 0.0f;
}
inline void bgc_complex_reset_fp64(BgcComplexFP64* complex)
inline void bgc_fp64_complex_reset(BGC_FP64_Complex* complex)
{
complex->real = 0.0;
complex->imaginary = 0.0;
@ -32,71 +32,71 @@ inline void bgc_complex_reset_fp64(BgcComplexFP64* complex)
// ==================== Set ===================== //
inline void bgc_complex_set_values_fp32(const float real, const float imaginary, BgcComplexFP32* destination)
inline void bgc_fp32_complex_make(const float real, const float imaginary, BGC_FP32_Complex* complex)
{
destination->real = real;
destination->imaginary = imaginary;
complex->real = real;
complex->imaginary = imaginary;
}
inline void bgc_complex_set_values_fp64(const double real, const double imaginary, BgcComplexFP64* destination)
inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex)
{
destination->real = real;
destination->imaginary = imaginary;
complex->real = real;
complex->imaginary = imaginary;
}
// ================== Modulus =================== //
inline float bgc_complex_get_square_modulus_fp32(const BgcComplexFP32* number)
inline float bgc_fp32_complex_get_square_modulus(const BGC_FP32_Complex* number)
{
return number->real * number->real + number->imaginary * number->imaginary;
}
inline double bgc_complex_get_square_modulus_fp64(const BgcComplexFP64* number)
inline double bgc_fp64_complex_get_square_modulus(const BGC_FP64_Complex* number)
{
return number->real * number->real + number->imaginary * number->imaginary;
}
inline float bgc_complex_get_modulus_fp32(const BgcComplexFP32* number)
inline float bgc_fp32_complex_get_modulus(const BGC_FP32_Complex* number)
{
return sqrtf(bgc_complex_get_square_modulus_fp32(number));
return sqrtf(bgc_fp32_complex_get_square_modulus(number));
}
inline double bgc_complex_get_modulus_fp64(const BgcComplexFP64* number)
inline double bgc_fp64_complex_get_modulus(const BGC_FP64_Complex* number)
{
return sqrt(bgc_complex_get_square_modulus_fp64(number));
return sqrt(bgc_fp64_complex_get_square_modulus(number));
}
// ================= Comparison ================= //
inline int bgc_complex_is_zero_fp32(const BgcComplexFP32* number)
inline int bgc_fp32_complex_is_zero(const BGC_FP32_Complex* number)
{
return bgc_complex_get_square_modulus_fp32(number) <= BGC_SQUARE_EPSYLON_FP32;
return bgc_fp32_complex_get_square_modulus(number) <= BGC_FP32_SQUARE_EPSYLON;
}
inline int bgc_complex_is_zero_fp64(const BgcComplexFP64* number)
inline int bgc_fp64_complex_is_zero(const BGC_FP64_Complex* number)
{
return bgc_complex_get_square_modulus_fp64(number) <= BGC_SQUARE_EPSYLON_FP64;
return bgc_fp64_complex_get_square_modulus(number) <= BGC_FP64_SQUARE_EPSYLON;
}
inline int bgc_complex_is_unit_fp32(const BgcComplexFP32* number)
inline int bgc_fp32_complex_is_unit(const BGC_FP32_Complex* number)
{
return bgc_is_sqare_unit_fp32(bgc_complex_get_square_modulus_fp32(number));
return bgc_fp32_is_square_unit(bgc_fp32_complex_get_square_modulus(number));
}
inline int bgc_complex_is_unit_fp64(const BgcComplexFP64* number)
inline int bgc_fp64_complex_is_unit(const BGC_FP64_Complex* number)
{
return bgc_is_sqare_unit_fp64(bgc_complex_get_square_modulus_fp64(number));
return bgc_fp64_is_square_unit(bgc_fp64_complex_get_square_modulus(number));
}
// ==================== Copy ==================== //
inline void bgc_complex_copy_fp32(const BgcComplexFP32* source, BgcComplexFP32* destination)
inline void bgc_fp32_complex_copy(const BGC_FP32_Complex* source, BGC_FP32_Complex* destination)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
}
inline void bgc_complex_copy_fp64(const BgcComplexFP64* source, BgcComplexFP64* destination)
inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
@ -104,7 +104,7 @@ inline void bgc_complex_copy_fp64(const BgcComplexFP64* source, BgcComplexFP64*
// ==================== Swap ==================== //
inline void bgc_complex_swap_fp32(BgcComplexFP32* number1, BgcComplexFP32* number2)
inline void bgc_fp32_complex_swap(BGC_FP32_Complex* number1, BGC_FP32_Complex* number2)
{
const float real = number2->real;
const float imaginary = number2->imaginary;
@ -116,7 +116,7 @@ inline void bgc_complex_swap_fp32(BgcComplexFP32* number1, BgcComplexFP32* numbe
number1->imaginary = imaginary;
}
inline void bgc_complex_swap_fp64(BgcComplexFP64* number1, BgcComplexFP64* number2)
inline void bgc_fp64_complex_swap(BGC_FP64_Complex* number1, BGC_FP64_Complex* number2)
{
const double real = number2->real;
const double imaginary = number2->imaginary;
@ -130,13 +130,13 @@ inline void bgc_complex_swap_fp64(BgcComplexFP64* number1, BgcComplexFP64* numbe
// ================== Convert =================== //
inline void bgc_complex_convert_fp64_to_fp32(const BgcComplexFP64* source, BgcComplexFP32* destination)
inline void bgc_fp64_complex_convert_to_fp32(const BGC_FP64_Complex* source, BGC_FP32_Complex* destination)
{
destination->real = (float)source->real;
destination->imaginary = (float)source->imaginary;
}
inline void bgc_complex_convert_fp32_to_fp64(const BgcComplexFP32* source, BgcComplexFP64* destination)
inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
@ -144,25 +144,25 @@ inline void bgc_complex_convert_fp32_to_fp64(const BgcComplexFP32* source, BgcCo
// ================== Negative ================== //
inline void bgc_complex_make_opposite_fp32(BgcComplexFP32* number)
inline void bgc_fp32_complex_revert(BGC_FP32_Complex* number)
{
number->real = -number->real;
number->imaginary = -number->imaginary;
}
inline void bgc_complex_make_opposite_fp64(BgcComplexFP64* number)
inline void bgc_fp64_complex_revert(BGC_FP64_Complex* number)
{
number->real = -number->real;
number->imaginary = -number->imaginary;
}
inline void bgc_complex_get_opposite_fp32(const BgcComplexFP32* number, BgcComplexFP32* opposite)
inline void bgc_fp32_complex_get_reverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* opposite)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
}
inline void bgc_complex_get_opposite_fp64(const BgcComplexFP64* number, BgcComplexFP64* opposite)
inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
@ -170,15 +170,15 @@ inline void bgc_complex_get_opposite_fp64(const BgcComplexFP64* number, BgcCompl
// ================= Normalize ================== //
inline int bgc_complex_normalize_fp32(BgcComplexFP32* number)
inline int bgc_fp32_complex_normalize(BGC_FP32_Complex* number)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
const float square_modulus = bgc_fp32_complex_get_square_modulus(number);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
if (bgc_fp32_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -190,15 +190,15 @@ inline int bgc_complex_normalize_fp32(BgcComplexFP32* number)
return 1;
}
inline int bgc_complex_normalize_fp64(BgcComplexFP64* number)
inline int bgc_fp64_complex_normalize(BGC_FP64_Complex* number)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
const double square_modulus = bgc_fp64_complex_get_square_modulus(number);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
if (bgc_fp64_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -210,17 +210,17 @@ inline int bgc_complex_normalize_fp64(BgcComplexFP64* number)
return 1;
}
inline int bgc_complex_get_normalized_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized)
inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_FP32_Complex* normalized)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
const float square_modulus = bgc_fp32_complex_get_square_modulus(number);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
if (bgc_fp32_is_square_unit(square_modulus)) {
normalized->real = number->real;
normalized->imaginary = number->imaginary;
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
normalized->real = 0.0f;
normalized->imaginary = 0.0f;
return 0;
@ -234,17 +234,17 @@ inline int bgc_complex_get_normalized_fp32(const BgcComplexFP32* number, BgcComp
return 1;
}
inline int bgc_complex_get_normalized_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized)
inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
const double square_modulus = bgc_fp64_complex_get_square_modulus(number);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
if (bgc_fp64_is_square_unit(square_modulus)) {
normalized->real = number->real;
normalized->imaginary = number->imaginary;
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
normalized->real = 0.0;
normalized->imaginary = 0.0;
return 0;
@ -260,23 +260,23 @@ inline int bgc_complex_get_normalized_fp64(const BgcComplexFP64* number, BgcComp
// ================= Conjugate ================== //
inline void bgc_complex_conjugate_fp32(BgcComplexFP32* number)
inline void bgc_fp32_complex_conjugate(BGC_FP32_Complex* number)
{
number->imaginary = -number->imaginary;
}
inline void bgc_complex_conjugate_fp64(BgcComplexFP64* number)
inline void bgc_fp64_complex_conjugate(BGC_FP64_Complex* number)
{
number->imaginary = -number->imaginary;
}
inline void bgc_complex_get_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate)
inline void bgc_fp32_complex_get_conjugate(const BGC_FP32_Complex* number, BGC_FP32_Complex* conjugate)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
}
inline void bgc_complex_get_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate)
inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
@ -284,11 +284,11 @@ inline void bgc_complex_get_conjugate_fp64(const BgcComplexFP64* number, BgcComp
// =================== Invert =================== //
inline int bgc_complex_get_inverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverse)
inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* inverse)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
const float square_modulus = bgc_fp32_complex_get_square_modulus(number);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -300,11 +300,11 @@ inline int bgc_complex_get_inverse_fp32(const BgcComplexFP32* number, BgcComplex
return 1;
}
inline int bgc_complex_get_inverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverse)
inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
const double square_modulus = bgc_fp64_complex_get_square_modulus(number);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -316,31 +316,31 @@ inline int bgc_complex_get_inverse_fp64(const BgcComplexFP64* number, BgcComplex
return 1;
}
inline int bgc_complex_invert_fp32(BgcComplexFP32* number)
inline int bgc_fp32_complex_invert(BGC_FP32_Complex* number)
{
return bgc_complex_get_inverse_fp32(number, number);
return bgc_fp32_complex_get_inverse(number, number);
}
inline int bgc_complex_invert_fp64(BgcComplexFP64* number)
inline int bgc_fp64_complex_invert(BGC_FP64_Complex* number)
{
return bgc_complex_get_inverse_fp64(number, number);
return bgc_fp64_complex_get_inverse(number, number);
}
// =============== Get Exponation =============== //
void bgc_complex_get_exponation_fp32(const BgcComplexFP32* base, const float real_exponent, const float imaginary_exponent, BgcComplexFP32* power);
void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent, BGC_FP32_Complex* power);
void bgc_complex_get_exponation_fp64(const BgcComplexFP64* base, const double real_exponent, const double imaginary_exponent, BgcComplexFP64* power);
void bgc_fp64_complex_get_exponation(const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent, BGC_FP64_Complex* power);
// ==================== Add ===================== //
inline void bgc_complex_add_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* sum)
inline void bgc_fp32_complex_add(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* sum)
{
sum->real = number1->real + number2->real;
sum->imaginary = number1->imaginary + number2->imaginary;
}
inline void bgc_complex_add_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* sum)
inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* sum)
{
sum->real = number1->real + number2->real;
sum->imaginary = number1->imaginary + number2->imaginary;
@ -348,13 +348,13 @@ inline void bgc_complex_add_fp64(const BgcComplexFP64* number1, const BgcComplex
// ================= Add scaled ================= //
inline void bgc_complex_add_scaled_fp32(const BgcComplexFP32* basic_number, const BgcComplexFP32* scalable_number, const float scale, BgcComplexFP32* sum)
inline void bgc_fp32_complex_add_scaled(const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale, BGC_FP32_Complex* sum)
{
sum->real = basic_number->real + scalable_number->real * scale;
sum->imaginary = basic_number->imaginary + scalable_number->imaginary * scale;
}
inline void bgc_complex_add_scaled_fp64(const BgcComplexFP64* basic_number, const BgcComplexFP64* scalable_number, const double scale, BgcComplexFP64* sum)
inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum)
{
sum->real = basic_number->real + scalable_number->real * scale;
sum->imaginary = basic_number->imaginary + scalable_number->imaginary * scale;
@ -362,13 +362,13 @@ inline void bgc_complex_add_scaled_fp64(const BgcComplexFP64* basic_number, cons
// ================== Subtract ================== //
inline void bgc_complex_subtract_fp32(const BgcComplexFP32* minuend, const BgcComplexFP32* subtrahend, BgcComplexFP32* difference)
inline void bgc_fp32_complex_subtract(const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend, BGC_FP32_Complex* difference)
{
difference->real = minuend->real - subtrahend->real;
difference->imaginary = minuend->imaginary - subtrahend->imaginary;
}
inline void bgc_complex_subtract_fp64(const BgcComplexFP64* minuend, const BgcComplexFP64* subtrahend, BgcComplexFP64* difference)
inline void bgc_fp64_complex_subtract(const BGC_FP64_Complex* minuend, const BGC_FP64_Complex* subtrahend, BGC_FP64_Complex* difference)
{
difference->real = minuend->real - subtrahend->real;
difference->imaginary = minuend->imaginary - subtrahend->imaginary;
@ -376,7 +376,7 @@ inline void bgc_complex_subtract_fp64(const BgcComplexFP64* minuend, const BgcCo
// ================== Multiply ================== //
inline void bgc_complex_multiply_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* product)
inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* product)
{
const float real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const float imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
@ -385,7 +385,7 @@ inline void bgc_complex_multiply_fp32(const BgcComplexFP32* number1, const BgcCo
product->imaginary = imaginary;
}
inline void bgc_complex_multiply_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* product)
inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product)
{
const double real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const double imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
@ -396,13 +396,13 @@ inline void bgc_complex_multiply_fp64(const BgcComplexFP64* number1, const BgcCo
// ============= Multiply By Number ============= //
inline void bgc_complex_multiply_by_number_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product)
inline void bgc_fp32_complex_multiply(const BGC_FP32_Complex* multiplicand, const float multiplier, BGC_FP32_Complex* product)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
}
inline void bgc_complex_multiply_by_number_fp64(const BgcComplexFP64* multiplicand, const double multiplier, BgcComplexFP64* product)
inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
@ -410,11 +410,11 @@ inline void bgc_complex_multiply_by_number_fp64(const BgcComplexFP64* multiplica
// =================== Divide =================== //
inline int bgc_complex_devide_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient)
inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor, BGC_FP32_Complex* quotient)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(divisor);
const float square_modulus = bgc_fp32_complex_get_square_modulus(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON) {
return 0;
}
@ -429,11 +429,11 @@ inline int bgc_complex_devide_fp32(const BgcComplexFP32* divident, const BgcComp
return 1;
}
inline int bgc_complex_devide_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient)
inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(divisor);
const double square_modulus = bgc_fp64_complex_get_square_modulus(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON) {
return 0;
}
@ -450,25 +450,25 @@ inline int bgc_complex_devide_fp64(const BgcComplexFP64* divident, const BgcComp
// ============== Divide By Number ============== //
inline void bgc_complex_divide_by_number_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient)
inline void bgc_fp32_complex_divide(const BGC_FP32_Complex* dividend, const float divisor, BGC_FP32_Complex* quotient)
{
bgc_complex_multiply_by_number_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_complex_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_complex_divide_by_number_fp64(const BgcComplexFP64* dividend, const double divisor, BgcComplexFP64* quotient)
inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient)
{
bgc_complex_multiply_by_number_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_complex_multiply(dividend, 1.0 / divisor, quotient);
}
// ================== Average2 ================== //
inline void bgc_complex_get_mean_of_two_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* mean)
inline void bgc_fp32_complex_get_mean2(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* mean)
{
mean->real = (number1->real + number2->real) * 0.5f;
mean->imaginary = (number1->imaginary + number2->imaginary) * 0.5f;
}
inline void bgc_complex_get_mean_of_two_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* mean)
inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean)
{
mean->real = (number1->real + number2->real) * 0.5;
mean->imaginary = (number1->imaginary + number2->imaginary) * 0.5;
@ -476,70 +476,70 @@ inline void bgc_complex_get_mean_of_two_fp64(const BgcComplexFP64* number1, cons
// ================== Average3 ================== //
inline void bgc_complex_get_mean_of_three_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const BgcComplexFP32* number3, BgcComplexFP32* mean)
inline void bgc_fp32_complex_get_mean3(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3, BGC_FP32_Complex* mean)
{
mean->real = (number1->real + number2->real + number3->real) * BGC_ONE_THIRD_FP32;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_ONE_THIRD_FP32;
mean->real = (number1->real + number2->real + number3->real) * BGC_FP32_ONE_THIRD;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_FP32_ONE_THIRD;
}
inline void bgc_complex_get_mean_of_three_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const BgcComplexFP64* number3, BgcComplexFP64* mean)
inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean)
{
mean->real = (number1->real + number2->real + number3->real) * BGC_ONE_THIRD_FP64;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_ONE_THIRD_FP64;
mean->real = (number1->real + number2->real + number3->real) * BGC_FP64_ONE_THIRD;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_FP64_ONE_THIRD;
}
// =================== Linear =================== //
inline void bgc_complex_interpolate_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation)
inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase, BGC_FP32_Complex* interpolation)
{
const float counterphase = 1.0f - phase;
const float counter_phase = 1.0f - phase;
interpolation->real = number1->real * counterphase + number2->real * phase;
interpolation->imaginary = number1->imaginary * counterphase + number2->imaginary * phase;
interpolation->real = number1->real * counter_phase + number2->real * phase;
interpolation->imaginary = number1->imaginary * counter_phase + number2->imaginary * phase;
}
inline void bgc_complex_interpolate_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation)
inline void bgc_fp64_complex_interpolate(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation)
{
const double counterphase = 1.0 - phase;
const double counter_phase = 1.0 - phase;
interpolation->real = number1->real * counterphase + number2->real * phase;
interpolation->imaginary = number1->imaginary * counterphase + number2->imaginary * phase;
interpolation->real = number1->real * counter_phase + number2->real * phase;
interpolation->imaginary = number1->imaginary * counter_phase + number2->imaginary * phase;
}
// ================== Are Close ================= //
inline int bgc_complex_are_close_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2)
inline int bgc_fp32_complex_are_close(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2)
{
const float square_modulus1 = bgc_complex_get_square_modulus_fp32(number1);
const float square_modulus2 = bgc_complex_get_square_modulus_fp32(number2);
const float square_modulus1 = bgc_fp32_complex_get_square_modulus(number1);
const float square_modulus2 = bgc_fp32_complex_get_square_modulus(number2);
const float d_real = number1->real - number2->real;
const float d_imaginary = number1->imaginary - number2->imaginary;
const float square_distance = d_real * d_real + d_imaginary * d_imaginary;
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_distance <= BGC_SQUARE_EPSYLON_FP32;
if (square_modulus1 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP32_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus2;
return square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus2;
}
inline int bgc_complex_are_close_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2)
inline int bgc_fp64_complex_are_close(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2)
{
const double square_modulus1 = bgc_complex_get_square_modulus_fp64(number1);
const double square_modulus2 = bgc_complex_get_square_modulus_fp64(number2);
const double square_modulus1 = bgc_fp64_complex_get_square_modulus(number1);
const double square_modulus2 = bgc_fp64_complex_get_square_modulus(number2);
const double d_real = number1->real - number2->real;
const double d_imaginary = number1->imaginary - number2->imaginary;
const double square_distance = d_real * d_real + d_imaginary * d_imaginary;
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_distance <= BGC_SQUARE_EPSYLON_FP64;
if (square_modulus1 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP64_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus2;
return square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus2;
}
#endif

View file

@ -1,71 +1,68 @@
#include "./cotes-number.h"
const BgcCotesNumberFP32 BGC_IDLE_COTES_NUMBER_FP32 = { 1.0f, 0.0f };
const BGC_FP32_CotesNumber BGC_FP32_IDLE_COTES_NUMBER = { 1.0f, 0.0f };
const BgcCotesNumberFP64 BGC_IDLE_COTES_NUMBER_FP64 = { 1.0, 0.0 };
const BGC_FP64_CotesNumber BGC_FP64_IDLE_COTES_NUMBER = { 1.0, 0.0 };
extern inline void bgc_cotes_number_reset_fp32(BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_reset_fp64(BgcCotesNumberFP64* number);
extern inline void bgc_fp32_cotes_number_reset(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_reset(BGC_FP64_CotesNumber* number);
extern inline void bgc_cotes_number_set_values_fp32(const float x1, const float x2, BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_set_values_fp64(const double x1, const double x2, BgcCotesNumberFP64* number);
extern inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number);
extern inline void bgc_cotes_number_set_turn_fp32(const float angle, const BgcAngleUnitEnum unit, BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_set_turn_fp64(const double angle, const BgcAngleUnitEnum unit, BgcCotesNumberFP64* number);
extern inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int angle_unit, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make_for_angle(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number);
extern inline float bgc_cotes_number_get_angle_fp32(const BgcCotesNumberFP32* number, const BgcAngleUnitEnum unit);
extern inline double bgc_cotes_number_get_angle_fp64(const BgcCotesNumberFP64* number, const BgcAngleUnitEnum unit);
extern inline int bgc_fp32_cotes_number_is_idle(const BGC_FP32_CotesNumber* number);
extern inline int bgc_fp64_cotes_number_is_idle(const BGC_FP64_CotesNumber* number);
extern inline void bgc_cotes_number_copy_fp32(const BgcCotesNumberFP32* source, BgcCotesNumberFP32* destination);
extern inline void bgc_cotes_number_copy_fp64(const BgcCotesNumberFP64* source, BgcCotesNumberFP64* destination);
extern inline float bgc_fp32_cotes_number_get_angle(const BGC_FP32_CotesNumber* number, const int angle_unit);
extern inline double bgc_fp64_cotes_number_get_angle(const BGC_FP64_CotesNumber* number, const int angle_unit);
extern inline void bgc_cotes_number_swap_fp32(BgcCotesNumberFP32* number1, BgcCotesNumberFP32* number2);
extern inline void bgc_cotes_number_swap_fp64(BgcCotesNumberFP64* number1, BgcCotesNumberFP64* number2);
extern inline void bgc_fp32_cotes_number_copy(const BGC_FP32_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination);
extern inline void bgc_cotes_number_convert_fp64_to_fp32(const BgcCotesNumberFP64* source, BgcCotesNumberFP32* destination);
extern inline void bgc_cotes_number_convert_fp32_to_fp64(const BgcCotesNumberFP32* source, BgcCotesNumberFP64* destination);
extern inline void bgc_fp32_cotes_number_swap(BGC_FP32_CotesNumber* number1, BGC_FP32_CotesNumber* number2);
extern inline void bgc_fp64_cotes_number_swap(BGC_FP64_CotesNumber* number1, BGC_FP64_CotesNumber* number2);
extern inline void bgc_cotes_number_make_opposite_fp32(BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_make_opposite_fp64(BgcCotesNumberFP64* number);
extern inline void bgc_fp64_cotes_number_convert_to_fp32(const BGC_FP64_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp32_cotes_number_convert_to_fp64(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination);
extern inline void bgc_cotes_number_get_opposite_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* opposite);
extern inline void bgc_cotes_number_get_opposite_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* opposite);
extern inline void bgc_fp32_cotes_number_revert(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_revert(BGC_FP64_CotesNumber* number);
extern inline void bgc_cotes_number_invert_fp32(BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_invert_fp64(BgcCotesNumberFP64* number);
extern inline void bgc_fp32_cotes_number_get_reverse(const BGC_FP32_CotesNumber* number, BGC_FP32_CotesNumber* inverse);
extern inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse);
extern inline void bgc_cotes_number_get_inverse_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverse);
extern inline void bgc_cotes_number_get_inverse_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverse);
extern inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* base, const float exponent, BGC_FP32_CotesNumber* power);
extern inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power);
extern inline void bgc_cotes_number_get_exponation_fp32(const BgcCotesNumberFP32* base, const float exponent, BgcCotesNumberFP32* power);
extern inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base, const double exponent, BgcCotesNumberFP64* power);
extern inline void bgc_fp32_cotes_number_combine(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2, BGC_FP32_CotesNumber* result);
extern inline void bgc_fp64_cotes_number_combine(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result);
extern inline void bgc_cotes_number_combine_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2, BgcCotesNumberFP32* result);
extern inline void bgc_cotes_number_combine_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2, BgcCotesNumberFP64* result);
extern inline void bgc_fp32_cotes_number_exclude(const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant, BGC_FP32_CotesNumber* difference);
extern inline void bgc_fp64_cotes_number_exclude(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference);
extern inline void bgc_cotes_number_exclude_fp32(const BgcCotesNumberFP32* base, const BgcCotesNumberFP32* excludant, BgcCotesNumberFP32* difference);
extern inline void bgc_cotes_number_exclude_fp64(const BgcCotesNumberFP64* base, const BgcCotesNumberFP64* excludant, BgcCotesNumberFP64* difference);
extern inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_cotes_number_get_rotation_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix);
extern inline void bgc_cotes_number_get_rotation_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_cotes_number_get_reverse_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix);
extern inline void bgc_cotes_number_get_reverse_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_cotes_number_turn_vector(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
extern inline void bgc_cotes_number_turn_vector_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result);
extern inline void bgc_cotes_number_turn_vector_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result);
extern inline void bgc_fp32_cotes_number_turn_vector_back(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector_back(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
extern inline void bgc_cotes_number_turn_vector_back_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result);
extern inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result);
extern inline int bgc_fp32_cotes_number_are_close(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2);
extern inline int bgc_fp64_cotes_number_are_close(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2);
extern inline int bgc_cotes_number_are_close_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2);
extern inline int bgc_cotes_number_are_close_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2);
void _bgc_cotes_number_normalize_fp32(const float square_modulus, BgcCotesNumberFP32* number)
void _bgc_fp32_cotes_number_normalize(BGC_FP32_CotesNumber* number)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
const float square_modulus = number->_cos * number->_cos + number->_sin * number->_sin;
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
number->_cos = 1.0f;
number->_sin = 0.0f;
return;
@ -77,11 +74,11 @@ void _bgc_cotes_number_normalize_fp32(const float square_modulus, BgcCotesNumber
number->_sin *= multiplier;
}
void _bgc_cotes_number_normalize_fp64(const double square_modulus, BgcCotesNumberFP64* number)
void _bgc_fp64_cotes_number_normalize(BGC_FP64_CotesNumber* number)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
const double square_modulus = number->_cos * number->_cos + number->_sin * number->_sin;
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
number->_cos = 1.0;
number->_sin = 0.0;
return;

View file

@ -13,101 +13,114 @@
typedef struct
{
float _cos, _sin;
} BgcCotesNumberFP32;
} BGC_FP32_CotesNumber;
typedef struct
{
double _cos, _sin;
} BgcCotesNumberFP64;
} BGC_FP64_CotesNumber;
// ================= Constants ================== //
extern const BgcCotesNumberFP32 BGC_IDLE_COTES_NUMBER_FP32;
extern const BgcCotesNumberFP64 BGC_IDLE_COTES_NUMBER_FP64;
extern const BGC_FP32_CotesNumber BGC_FP32_IDLE_COTES_NUMBER;
extern const BGC_FP64_CotesNumber BGC_FP64_IDLE_COTES_NUMBER;
// =================== Reset ==================== //
inline void bgc_cotes_number_reset_fp32(BgcCotesNumberFP32* number)
inline void bgc_fp32_cotes_number_reset(BGC_FP32_CotesNumber* number)
{
number->_cos = 1.0f;
number->_sin = 0.0f;
}
inline void bgc_cotes_number_reset_fp64(BgcCotesNumberFP64* number)
inline void bgc_fp64_cotes_number_reset(BGC_FP64_CotesNumber* number)
{
number->_cos = 1.0;
number->_sin = 0.0;
}
// ================== Set Turn ================== //
inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int angle_unit, BGC_FP32_CotesNumber* number)
{
const float radians = bgc_fp32_angle_to_radians(angle, angle_unit);
number->_cos = cosf(radians);
number->_sin = sinf(radians);
}
inline void bgc_fp64_cotes_number_make_for_angle(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number)
{
const double radians = bgc_fp64_angle_to_radians(angle, angle_unit);
number->_cos = cos(radians);
number->_sin = sin(radians);
}
// ================== Set Turn ================== //
inline int bgc_fp32_cotes_number_is_idle(const BGC_FP32_CotesNumber* number)
{
return bgc_fp32_is_unit(number->_cos) && bgc_fp32_is_zero(number->_sin);
}
inline int bgc_fp64_cotes_number_is_idle(const BGC_FP64_CotesNumber* number)
{
return bgc_fp64_is_unit(number->_cos) && bgc_fp64_is_zero(number->_sin);
}
// ==================== Set ===================== //
void _bgc_cotes_number_normalize_fp32(const float square_modulus, BgcCotesNumberFP32* twin);
void _bgc_fp32_cotes_number_normalize(BGC_FP32_CotesNumber* twin);
void _bgc_cotes_number_normalize_fp64(const double square_modulus, BgcCotesNumberFP64* twin);
void _bgc_fp64_cotes_number_normalize(BGC_FP64_CotesNumber* twin);
inline void bgc_cotes_number_set_values_fp32(const float x1, const float x2, BgcCotesNumberFP32* number)
inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_CotesNumber* number)
{
const float square_modulus = x1 * x1 + x2 * x2;
number->_cos = x1;
number->_sin = x2;
if (!bgc_is_sqare_unit_fp32(square_modulus)) {
_bgc_cotes_number_normalize_fp32(square_modulus, number);
if (!bgc_fp32_is_square_unit(square_modulus)) {
_bgc_fp32_cotes_number_normalize(number);
}
}
inline void bgc_cotes_number_set_values_fp64(const double x1, const double x2, BgcCotesNumberFP64* number)
inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number)
{
const double square_modulus = x1 * x1 + x2 * x2;
number->_cos = x1;
number->_sin = x2;
if (!bgc_is_sqare_unit_fp64(square_modulus)) {
_bgc_cotes_number_normalize_fp64(square_modulus, number);
if (!bgc_fp64_is_square_unit(square_modulus)) {
_bgc_fp64_cotes_number_normalize(number);
}
}
// ================== Set Turn ================== //
inline void bgc_cotes_number_set_turn_fp32(const float angle, const BgcAngleUnitEnum unit, BgcCotesNumberFP32* number)
{
const float radians = bgc_angle_to_radians_fp32(angle, unit);
number->_cos = cosf(radians);
number->_sin = sinf(radians);
}
inline void bgc_cotes_number_set_turn_fp64(const double angle, const BgcAngleUnitEnum unit, BgcCotesNumberFP64* number)
{
const double radians = bgc_angle_to_radians_fp64(angle, unit);
number->_cos = cos(radians);
number->_sin = sin(radians);
}
// =================== Angle =================== //
inline float bgc_cotes_number_get_angle_fp32(const BgcCotesNumberFP32* number, const BgcAngleUnitEnum unit)
inline float bgc_fp32_cotes_number_get_angle(const BGC_FP32_CotesNumber* number, const int angle_unit)
{
return bgc_radians_to_units_fp32(atan2f(number->_sin, number->_cos), unit);
return bgc_fp32_radians_to_units(atan2f(number->_sin, number->_cos), angle_unit);
}
inline double bgc_cotes_number_get_angle_fp64(const BgcCotesNumberFP64* number, const BgcAngleUnitEnum unit)
inline double bgc_fp64_cotes_number_get_angle(const BGC_FP64_CotesNumber* number, const int angle_unit)
{
return bgc_radians_to_units_fp64(atan2(number->_sin, number->_cos), unit);
return bgc_fp64_radians_to_units(atan2(number->_sin, number->_cos), angle_unit);
}
// ==================== Copy ==================== //
inline void bgc_cotes_number_copy_fp32(const BgcCotesNumberFP32* source, BgcCotesNumberFP32* destination)
inline void bgc_fp32_cotes_number_copy(const BGC_FP32_CotesNumber* source, BGC_FP32_CotesNumber* destination)
{
destination->_cos = source->_cos;
destination->_sin = source->_sin;
}
inline void bgc_cotes_number_copy_fp64(const BgcCotesNumberFP64* source, BgcCotesNumberFP64* destination)
inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination)
{
destination->_cos = source->_cos;
destination->_sin = source->_sin;
@ -115,7 +128,7 @@ inline void bgc_cotes_number_copy_fp64(const BgcCotesNumberFP64* source, BgcCote
// ==================== Swap ==================== //
inline void bgc_cotes_number_swap_fp32(BgcCotesNumberFP32* number1, BgcCotesNumberFP32* number2)
inline void bgc_fp32_cotes_number_swap(BGC_FP32_CotesNumber* number1, BGC_FP32_CotesNumber* number2)
{
const float cos = number1->_cos;
const float sin = number1->_sin;
@ -127,7 +140,7 @@ inline void bgc_cotes_number_swap_fp32(BgcCotesNumberFP32* number1, BgcCotesNumb
number2->_sin = sin;
}
inline void bgc_cotes_number_swap_fp64(BgcCotesNumberFP64* number1, BgcCotesNumberFP64* number2)
inline void bgc_fp64_cotes_number_swap(BGC_FP64_CotesNumber* number1, BGC_FP64_CotesNumber* number2)
{
const double cos = number1->_cos;
const double sin = number1->_sin;
@ -141,61 +154,35 @@ inline void bgc_cotes_number_swap_fp64(BgcCotesNumberFP64* number1, BgcCotesNumb
// ================== Convert =================== //
inline void bgc_cotes_number_convert_fp64_to_fp32(const BgcCotesNumberFP64* source, BgcCotesNumberFP32* destination)
inline void bgc_fp64_cotes_number_convert_to_fp32(const BGC_FP64_CotesNumber* source, BGC_FP32_CotesNumber* destination)
{
bgc_cotes_number_set_values_fp32((float)source->_cos, (float)source->_sin, destination);
bgc_fp32_cotes_number_make((float)source->_cos, (float)source->_sin, destination);
}
inline void bgc_cotes_number_convert_fp32_to_fp64(const BgcCotesNumberFP32* source, BgcCotesNumberFP64* destination)
inline void bgc_fp32_cotes_number_convert_to_fp64(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination)
{
bgc_cotes_number_set_values_fp64((double)source->_cos, (double)source->_sin, destination);
bgc_fp64_cotes_number_make((double)source->_cos, (double)source->_sin, destination);
}
// ================== Negative ================== //
// =================== Revert =================== //
inline void bgc_cotes_number_make_opposite_fp32(BgcCotesNumberFP32* number)
{
number->_cos = -number->_cos;
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_make_opposite_fp64(BgcCotesNumberFP64* number)
{
number->_cos = -number->_cos;
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_opposite_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* opposite)
{
opposite->_cos = -number->_cos;
opposite->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_opposite_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* opposite)
{
opposite->_cos = -number->_cos;
opposite->_sin = -number->_sin;
}
// =================== Invert =================== //
inline void bgc_cotes_number_invert_fp32(BgcCotesNumberFP32* number)
inline void bgc_fp32_cotes_number_revert(BGC_FP32_CotesNumber* number)
{
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_invert_fp64(BgcCotesNumberFP64* number)
inline void bgc_fp64_cotes_number_revert(BGC_FP64_CotesNumber* number)
{
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_inverse_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverse)
inline void bgc_fp32_cotes_number_get_reverse(const BGC_FP32_CotesNumber* number, BGC_FP32_CotesNumber* inverse)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_inverse_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverse)
inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
@ -203,7 +190,7 @@ inline void bgc_cotes_number_get_inverse_fp64(const BgcCotesNumberFP64* number,
// ================= Exponation ================= //
inline void bgc_cotes_number_get_exponation_fp32(const BgcCotesNumberFP32* base, const float exponent, BgcCotesNumberFP32* power)
inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* base, const float exponent, BGC_FP32_CotesNumber* power)
{
const float power_angle = exponent * atan2f(base->_sin, base->_cos);
@ -211,7 +198,7 @@ inline void bgc_cotes_number_get_exponation_fp32(const BgcCotesNumberFP32* base,
power->_sin = sinf(power_angle);
}
inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base, const double exponent, BgcCotesNumberFP64* power)
inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power)
{
const double power_angle = exponent * atan2(base->_sin, base->_cos);
@ -221,18 +208,18 @@ inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base,
// ================ Combination ================= //
inline void bgc_cotes_number_combine_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2, BgcCotesNumberFP32* result)
inline void bgc_fp32_cotes_number_combine(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2, BGC_FP32_CotesNumber* result)
{
bgc_cotes_number_set_values_fp32(
bgc_fp32_cotes_number_make(
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
);
}
inline void bgc_cotes_number_combine_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2, BgcCotesNumberFP64* result)
inline void bgc_fp64_cotes_number_combine(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result)
{
bgc_cotes_number_set_values_fp64(
bgc_fp64_cotes_number_make(
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
@ -241,18 +228,18 @@ inline void bgc_cotes_number_combine_fp64(const BgcCotesNumberFP64* number1, con
// ================= Exclusion ================== //
inline void bgc_cotes_number_exclude_fp32(const BgcCotesNumberFP32* base, const BgcCotesNumberFP32* excludant, BgcCotesNumberFP32* difference)
inline void bgc_fp32_cotes_number_exclude(const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant, BGC_FP32_CotesNumber* difference)
{
bgc_cotes_number_set_values_fp32(
bgc_fp32_cotes_number_make(
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
);
}
inline void bgc_cotes_number_exclude_fp64(const BgcCotesNumberFP64* base, const BgcCotesNumberFP64* excludant, BgcCotesNumberFP64* difference)
inline void bgc_fp64_cotes_number_exclude(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference)
{
bgc_cotes_number_set_values_fp64(
bgc_fp64_cotes_number_make(
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
@ -261,7 +248,7 @@ inline void bgc_cotes_number_exclude_fp64(const BgcCotesNumberFP64* base, const
// ============== Rotation Matrix =============== //
inline void bgc_cotes_number_get_rotation_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
@ -269,7 +256,7 @@ inline void bgc_cotes_number_get_rotation_matrix_fp32(const BgcCotesNumberFP32*
matrix->r2c2 = number->_cos;
}
inline void bgc_cotes_number_get_rotation_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
@ -279,7 +266,7 @@ inline void bgc_cotes_number_get_rotation_matrix_fp64(const BgcCotesNumberFP64*
// ============== Reverse Matrix ================ //
inline void bgc_cotes_number_get_reverse_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
@ -287,7 +274,7 @@ inline void bgc_cotes_number_get_reverse_matrix_fp32(const BgcCotesNumberFP32* n
matrix->r2c2 = number->_cos;
}
inline void bgc_cotes_number_get_reverse_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
@ -297,7 +284,7 @@ inline void bgc_cotes_number_get_reverse_matrix_fp64(const BgcCotesNumberFP64* n
// ================ Turn Vector ================= //
inline void bgc_cotes_number_turn_vector_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result)
inline void bgc_fp32_cotes_number_turn_vector(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result)
{
const float x1 = number->_cos * vector->x1 - number->_sin * vector->x2;
const float x2 = number->_sin * vector->x1 + number->_cos * vector->x2;
@ -306,7 +293,7 @@ inline void bgc_cotes_number_turn_vector_fp32(const BgcCotesNumberFP32* number,
result->x2 = x2;
}
inline void bgc_cotes_number_turn_vector_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result)
inline void bgc_fp64_cotes_number_turn_vector(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result)
{
const double x1 = number->_cos * vector->x1 - number->_sin * vector->x2;
const double x2 = number->_sin * vector->x1 + number->_cos * vector->x2;
@ -317,7 +304,7 @@ inline void bgc_cotes_number_turn_vector_fp64(const BgcCotesNumberFP64* number,
// ============ Turn Vector Backward ============ //
inline void bgc_cotes_number_turn_vector_back_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result)
inline void bgc_fp32_cotes_number_turn_vector_back(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result)
{
const float x1 = number->_sin * vector->x2 + number->_cos * vector->x1;
const float x2 = number->_cos * vector->x2 - number->_sin * vector->x1;
@ -326,7 +313,7 @@ inline void bgc_cotes_number_turn_vector_back_fp32(const BgcCotesNumberFP32* num
result->x2 = x2;
}
inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result)
inline void bgc_fp64_cotes_number_turn_vector_back(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result)
{
const double x1 = number->_sin * vector->x2 + number->_cos * vector->x1;
const double x2 = number->_cos * vector->x2 - number->_sin * vector->x1;
@ -337,20 +324,20 @@ inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP64* num
// ================== Are Close ================= //
inline int bgc_cotes_number_are_close_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2)
inline int bgc_fp32_cotes_number_are_close(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2)
{
const float d_cos = number1->_cos - number2->_cos;
const float d_sin = number1->_sin - number2->_sin;
return d_cos * d_cos + d_sin * d_sin <= BGC_SQUARE_EPSYLON_FP32;
return d_cos * d_cos + d_sin * d_sin <= BGC_FP32_SQUARE_EPSYLON;
}
inline int bgc_cotes_number_are_close_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2)
inline int bgc_fp64_cotes_number_are_close(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2)
{
const double d_cos = number1->_cos - number2->_cos;
const double d_sin = number1->_sin - number2->_sin;
return d_cos * d_cos + d_sin * d_sin <= BGC_SQUARE_EPSYLON_FP64;
return d_cos * d_cos + d_sin * d_sin <= BGC_FP64_SQUARE_EPSYLON;
}
#endif

View file

@ -1,73 +1,82 @@
#include "matrix2x2.h"
extern inline void bgc_matrix2x2_reset_fp32(BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_reset_fp64(BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_reset(BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_set_to_identity_fp32(BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_to_identity_fp64(BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_make_identity(BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_set_to_diagonal_fp32(const float d1, const float d2, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_to_diagonal_fp64(const double d1, const double d2, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_make_diagonal(const float d1, const float d2, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_set_turn_fp32(const float angle, const BgcAngleUnitEnum unit, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_turn_fp64(const double angle, const BgcAngleUnitEnum unit, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_make_for_turn(const float angle, const int angle_unit, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_for_turn(const double angle, const int angle_unit, BGC_FP64_Matrix2x2* matrix);
extern inline float bgc_matrix2x2_get_determinant_fp32(const BgcMatrix2x2FP32* matrix);
extern inline double bgc_matrix2x2_get_determinant_fp64(const BgcMatrix2x2FP64* matrix);
extern inline float bgc_fp32_matrix2x2_get_determinant(const BGC_FP32_Matrix2x2* matrix);
extern inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* matrix);
extern inline int bgc_matrix2x2_is_singular_fp32(const BgcMatrix2x2FP32* matrix);
extern inline int bgc_matrix2x2_is_singular_fp64(const BgcMatrix2x2FP64* matrix);
extern inline int bgc_fp32_matrix2x2_is_identity(const BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_is_identity(const BGC_FP64_Matrix2x2* matrix);
extern inline int bgc_matrix2x2_is_rotation_fp32(const BgcMatrix2x2FP32* matrix);
extern inline int bgc_matrix2x2_is_rotation_fp64(const BgcMatrix2x2FP64* matrix);
extern inline int bgc_fp32_matrix2x2_is_singular(const BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_is_singular(const BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_copy_fp32(const BgcMatrix2x2FP32* source, BgcMatrix2x2FP32* destination);
extern inline void bgc_matrix2x2_copy_fp64(const BgcMatrix2x2FP64* source, BgcMatrix2x2FP64* destination);
extern inline int bgc_fp32_matrix2x2_is_rotation(const BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_swap_fp32(BgcMatrix2x2FP32* matrix1, BgcMatrix2x2FP32* matrix2);
extern inline void bgc_matrix2x2_swap_fp64(BgcMatrix2x2FP64* matrix1, BgcMatrix2x2FP64* matrix2);
extern inline void bgc_fp32_matrix2x2_copy(const BGC_FP32_Matrix2x2* source, BGC_FP32_Matrix2x2* destination);
extern inline void bgc_fp64_matrix2x2_copy(const BGC_FP64_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
extern inline void bgc_matrix2x2_convert_fp64_to_fp32(const BgcMatrix2x2FP64* source, BgcMatrix2x2FP32* destination);
extern inline void bgc_matrix2x2_convert_fp32_to_fp64(const BgcMatrix2x2FP32* source, BgcMatrix2x2FP64* destination);
extern inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* matrix1, BGC_FP32_Matrix2x2* matrix2);
extern inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* matrix1, BGC_FP64_Matrix2x2* matrix2);
extern inline int bgc_matrix2x2_invert_fp32(const BgcMatrix2x2FP32* matrix, BgcMatrix2x2FP32* inverted);
extern inline int bgc_matrix2x2_invert_fp64(const BgcMatrix2x2FP64* matrix, BgcMatrix2x2FP64* inverted);
extern inline void bgc_fp64_matrix2x2_convert_to_fp32(const BGC_FP64_Matrix2x2* source, BGC_FP32_Matrix2x2* destination);
extern inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
extern inline void bgc_matrix2x2_transpose_fp32(const BgcMatrix2x2FP32* matrix, BgcMatrix2x2FP32* transposed);
extern inline void bgc_matrix2x2_transpose_fp64(const BgcMatrix2x2FP64* matrix, BgcMatrix2x2FP64* transposed);
extern inline int bgc_fp32_matrix2x2_get_inverse(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* inverse);
extern inline int bgc_fp64_matrix2x2_get_inverse(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* inverse);
extern inline void bgc_matrix2x2_set_row1_fp32(const float c1, const float c2, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_row1_fp64(const double c1, const double c2, BgcMatrix2x2FP64* matrix);
extern inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_set_row2_fp32(const float c1, const float c2, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_row2_fp64(const double c1, const double c2, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_transpose(BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_set_column1_fp32(const float r1, const float r2, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_column1_fp64(const double r1, const double r2, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_get_transposed(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* transposed);
extern inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* transposed);
extern inline void bgc_matrix2x2_set_column2_fp32(const float r1, const float r2, BgcMatrix2x2FP32* matrix);
extern inline void bgc_matrix2x2_set_column2_fp64(const double r1, const double r2, BgcMatrix2x2FP64* matrix);
extern inline void bgc_fp32_matrix2x2_get_row(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* row);
extern inline void bgc_fp64_matrix2x2_get_row(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* row);
extern inline void bgc_matrix2x2_add_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x2FP32* sum);
extern inline void bgc_matrix2x2_add_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x2FP64* sum);
extern inline void bgc_fp32_matrix2x2_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_add_scaled_fp32(const BgcMatrix2x2FP32* basic_matrix, const BgcMatrix2x2FP32* scalable_matrix, const float scale, BgcMatrix2x2FP32* sum);
extern inline void bgc_matrix2x2_add_scaled_fp64(const BgcMatrix2x2FP64* basic_matrix, const BgcMatrix2x2FP64* scalable_matrix, const double scale, BgcMatrix2x2FP64* sum);
extern inline void bgc_fp32_matrix2x2_get_column(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* column);
extern inline void bgc_fp64_matrix2x2_get_column(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* column);
extern inline void bgc_matrix2x2_subtract_fp32(const BgcMatrix2x2FP32* minuend, const BgcMatrix2x2FP32* subtrahend, BgcMatrix2x2FP32* difference);
extern inline void bgc_matrix2x2_subtract_fp64(const BgcMatrix2x2FP64* minuend, const BgcMatrix2x2FP64* subtrahend, BgcMatrix2x2FP64* difference);
extern inline void bgc_fp32_matrix2x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_matrix2x2_subtract_scaled_fp32(const BgcMatrix2x2FP32* basic_matrix, const BgcMatrix2x2FP32* scalable_matrix, const float scale, BgcMatrix2x2FP32* difference);
extern inline void bgc_matrix2x2_subtract_scaled_fp64(const BgcMatrix2x2FP64* basic_matrix, const BgcMatrix2x2FP64* scalable_matrix, const double scale, BgcMatrix2x2FP64* difference);
extern inline void bgc_fp32_matrix2x2_add(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* sum);
extern inline void bgc_fp64_matrix2x2_add(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* sum);
extern inline void bgc_matrix2x2_multiply_fp32(const BgcMatrix2x2FP32* multiplicand, const float multiplier, BgcMatrix2x2FP32* product);
extern inline void bgc_matrix2x2_multiply_fp64(const BgcMatrix2x2FP64* multiplicand, const double multiplier, BgcMatrix2x2FP64* product);
extern inline void bgc_fp32_matrix2x2_add_scaled(const BGC_FP32_Matrix2x2* basic_matrix, const BGC_FP32_Matrix2x2* scalable_matrix, const float scale, BGC_FP32_Matrix2x2* sum);
extern inline void bgc_fp64_matrix2x2_add_scaled(const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale, BGC_FP64_Matrix2x2* sum);
extern inline void bgc_matrix2x2_divide_fp32(const BgcMatrix2x2FP32* dividend, const float divisor, BgcMatrix2x2FP32* quotient);
extern inline void bgc_matrix2x2_divide_fp64(const BgcMatrix2x2FP64* dividend, const double divisor, BgcMatrix2x2FP64* quotient);
extern inline void bgc_fp32_matrix2x2_subtract(const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend, BGC_FP32_Matrix2x2* difference);
extern inline void bgc_fp64_matrix2x2_subtract(const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend, BGC_FP64_Matrix2x2* difference);
extern inline void bgc_matrix2x2_get_left_product_fp32(const BgcVector2FP32* vector, const BgcMatrix2x2FP32* matrix, BgcVector2FP32* product);
extern inline void bgc_matrix2x2_get_left_product_fp64(const BgcVector2FP64* vector, const BgcMatrix2x2FP64* matrix, BgcVector2FP64* product);
extern inline void bgc_fp32_matrix2x2_multiply(const BGC_FP32_Matrix2x2* multiplicand, const float multiplier, BGC_FP32_Matrix2x2* product);
extern inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand, const double multiplier, BGC_FP64_Matrix2x2* product);
extern inline void bgc_matrix2x2_get_right_product_fp32(const BgcMatrix2x2FP32* matrix, const BgcVector2FP32* vector, BgcVector2FP32* product);
extern inline void bgc_matrix2x2_get_right_product_fp64(const BgcMatrix2x2FP64* matrix, const BgcVector2FP64* vector, BgcVector2FP64* product);
extern inline void bgc_fp32_matrix2x2_divide(const BGC_FP32_Matrix2x2* dividend, const float divisor, BGC_FP32_Matrix2x2* quotient);
extern inline void bgc_fp64_matrix2x2_divide(const BGC_FP64_Matrix2x2* dividend, const double divisor, BGC_FP64_Matrix2x2* quotient);
extern inline void bgc_fp32_matrix2x2_interpolate(const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase, BGC_FP32_Matrix2x2* interpolation);
extern inline void bgc_fp64_matrix2x2_interpolate(const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase, BGC_FP64_Matrix2x2* interpolation);
extern inline void bgc_fp32_multiply_matrix2x2_by_vector2(const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_matrix2x2_by_vector2(const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* product);
extern inline void bgc_fp32_multiply_vector2_by_matrix2x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_vector2_by_matrix2x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* product);

View file

@ -7,7 +7,7 @@
// =================== Reset ==================== //
inline void bgc_matrix2x2_reset_fp32(BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_reset(BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c1 = 0.0f;
matrix->r1c2 = 0.0f;
@ -15,7 +15,7 @@ inline void bgc_matrix2x2_reset_fp32(BgcMatrix2x2FP32* matrix)
matrix->r2c2 = 0.0f;
}
inline void bgc_matrix2x2_reset_fp64(BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c1 = 0.0;
matrix->r1c2 = 0.0;
@ -25,7 +25,7 @@ inline void bgc_matrix2x2_reset_fp64(BgcMatrix2x2FP64* matrix)
// ================== Identity ================== //
inline void bgc_matrix2x2_set_to_identity_fp32(BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_make_identity(BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c1 = 1.0f;
matrix->r1c2 = 0.0f;
@ -33,7 +33,7 @@ inline void bgc_matrix2x2_set_to_identity_fp32(BgcMatrix2x2FP32* matrix)
matrix->r2c2 = 1.0f;
}
inline void bgc_matrix2x2_set_to_identity_fp64(BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c1 = 1.0;
matrix->r1c2 = 0.0;
@ -43,7 +43,7 @@ inline void bgc_matrix2x2_set_to_identity_fp64(BgcMatrix2x2FP64* matrix)
// ================ Set Diagonal ================ //
inline void bgc_matrix2x2_set_to_diagonal_fp32(const float d1, const float d2, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_make_diagonal(const float d1, const float d2, BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c1 = d1;
matrix->r1c2 = 0.0f;
@ -51,7 +51,7 @@ inline void bgc_matrix2x2_set_to_diagonal_fp32(const float d1, const float d2, B
matrix->r2c2 = d2;
}
inline void bgc_matrix2x2_set_to_diagonal_fp64(const double d1, const double d2, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c1 = d1;
matrix->r1c2 = 0.0;
@ -61,9 +61,9 @@ inline void bgc_matrix2x2_set_to_diagonal_fp64(const double d1, const double d2,
// ============== Rotation Matrix =============== //
inline void bgc_matrix2x2_set_turn_fp32(const float angle, const BgcAngleUnitEnum unit, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_make_for_turn(const float angle, const int angle_unit, BGC_FP32_Matrix2x2* matrix)
{
const float radians = bgc_angle_to_radians_fp32(angle, unit);
const float radians = bgc_fp32_angle_to_radians(angle, angle_unit);
const float cosine = cosf(radians);
const float sine = sinf(radians);
@ -73,9 +73,9 @@ inline void bgc_matrix2x2_set_turn_fp32(const float angle, const BgcAngleUnitEnu
matrix->r2c2 = cosine;
}
inline void bgc_matrix2x2_set_turn_fp64(const double angle, const BgcAngleUnitEnum unit, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_make_for_turn(const double angle, const int angle_unit, BGC_FP64_Matrix2x2* matrix)
{
const double radians = bgc_angle_to_radians_fp64(angle, unit);
const double radians = bgc_fp64_angle_to_radians(angle, angle_unit);
const double cosine = cos(radians);
const double sine = sin(radians);
@ -87,65 +87,73 @@ inline void bgc_matrix2x2_set_turn_fp64(const double angle, const BgcAngleUnitEn
// ================ Determinant ================= //
inline float bgc_matrix2x2_get_determinant_fp32(const BgcMatrix2x2FP32* matrix)
inline float bgc_fp32_matrix2x2_get_determinant(const BGC_FP32_Matrix2x2* matrix)
{
return matrix->r1c1 * matrix->r2c2 - matrix->r1c2 * matrix->r2c1;
}
inline double bgc_matrix2x2_get_determinant_fp64(const BgcMatrix2x2FP64* matrix)
inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* matrix)
{
return matrix->r1c1 * matrix->r2c2 - matrix->r1c2 * matrix->r2c1;
}
// ================== Singular ================== //
// ================ Is Identity ================= //
inline int bgc_matrix2x2_is_singular_fp32(const BgcMatrix2x2FP32* matrix)
inline int bgc_fp32_matrix2x2_is_identity(const BGC_FP32_Matrix2x2* matrix)
{
return bgc_is_zero_fp32(bgc_matrix2x2_get_determinant_fp32(matrix));
return bgc_fp32_is_unit(matrix->r1c1) && bgc_fp32_is_zero(matrix->r1c2)
&& bgc_fp32_is_zero(matrix->r2c1) && bgc_fp32_is_unit(matrix->r2c2);
}
inline int bgc_matrix2x2_is_singular_fp64(const BgcMatrix2x2FP64* matrix)
inline int bgc_fp64_matrix2x2_is_identity(const BGC_FP64_Matrix2x2* matrix)
{
return bgc_is_zero_fp64(bgc_matrix2x2_get_determinant_fp64(matrix));
return bgc_fp64_is_unit(matrix->r1c1) && bgc_fp64_is_zero(matrix->r1c2)
&& bgc_fp64_is_zero(matrix->r2c1) && bgc_fp64_is_unit(matrix->r2c2);
}
// ================ Is Singular ================= //
inline int bgc_fp32_matrix2x2_is_singular(const BGC_FP32_Matrix2x2* matrix)
{
return bgc_fp32_is_zero(bgc_fp32_matrix2x2_get_determinant(matrix));
}
inline int bgc_fp64_matrix2x2_is_singular(const BGC_FP64_Matrix2x2* matrix)
{
return bgc_fp64_is_zero(bgc_fp64_matrix2x2_get_determinant(matrix));
}
// ================ Is Rotation ================= //
inline int bgc_matrix2x2_is_rotation_fp32(const BgcMatrix2x2FP32* matrix)
inline int bgc_fp32_matrix2x2_is_rotation(const BGC_FP32_Matrix2x2* matrix)
{
if (!bgc_is_unit_fp32(bgc_matrix2x2_get_determinant_fp32(matrix))) {
return 0;
}
BGC_FP32_Matrix2x2 product;
const float product_r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
const float product_r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
const float product_r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
const float product_r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
return bgc_is_unit_fp32(product_r1c1) && bgc_is_zero_fp32(product_r1c2)
&& bgc_is_zero_fp32(product_r2c1) && bgc_is_unit_fp32(product_r2c2);
return bgc_fp32_matrix2x2_is_identity(&product);
}
inline int bgc_matrix2x2_is_rotation_fp64(const BgcMatrix2x2FP64* matrix)
inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* matrix)
{
if (!bgc_is_unit_fp64(bgc_matrix2x2_get_determinant_fp64(matrix))) {
return 0;
}
BGC_FP64_Matrix2x2 product;
const double product_r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
const double product_r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
const double product_r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
const double product_r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
return bgc_is_unit_fp64(product_r1c1) && bgc_is_zero_fp64(product_r1c2)
&& bgc_is_zero_fp64(product_r2c1) && bgc_is_unit_fp64(product_r2c2);
return bgc_fp64_matrix2x2_is_identity(&product);
}
// ==================== Copy ==================== //
inline void bgc_matrix2x2_copy_fp32(const BgcMatrix2x2FP32* source, BgcMatrix2x2FP32* destination)
inline void bgc_fp32_matrix2x2_copy(const BGC_FP32_Matrix2x2* source, BGC_FP32_Matrix2x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -154,7 +162,7 @@ inline void bgc_matrix2x2_copy_fp32(const BgcMatrix2x2FP32* source, BgcMatrix2x2
destination->r2c2 = source->r2c2;
}
inline void bgc_matrix2x2_copy_fp64(const BgcMatrix2x2FP64* source, BgcMatrix2x2FP64* destination)
inline void bgc_fp64_matrix2x2_copy(const BGC_FP64_Matrix2x2* source, BGC_FP64_Matrix2x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -165,7 +173,7 @@ inline void bgc_matrix2x2_copy_fp64(const BgcMatrix2x2FP64* source, BgcMatrix2x2
// ==================== Swap ==================== //
inline void bgc_matrix2x2_swap_fp32(BgcMatrix2x2FP32* matrix1, BgcMatrix2x2FP32* matrix2)
inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* matrix1, BGC_FP32_Matrix2x2* matrix2)
{
const float r1c1 = matrix2->r1c1;
const float r1c2 = matrix2->r1c2;
@ -186,7 +194,7 @@ inline void bgc_matrix2x2_swap_fp32(BgcMatrix2x2FP32* matrix1, BgcMatrix2x2FP32*
matrix1->r2c2 = r2c2;
}
inline void bgc_matrix2x2_swap_fp64(BgcMatrix2x2FP64* matrix1, BgcMatrix2x2FP64* matrix2)
inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* matrix1, BGC_FP64_Matrix2x2* matrix2)
{
const double r1c1 = matrix2->r1c1;
const double r1c2 = matrix2->r1c2;
@ -209,7 +217,7 @@ inline void bgc_matrix2x2_swap_fp64(BgcMatrix2x2FP64* matrix1, BgcMatrix2x2FP64*
// ================== Convert =================== //
inline void bgc_matrix2x2_convert_fp64_to_fp32(const BgcMatrix2x2FP64* source, BgcMatrix2x2FP32* destination)
inline void bgc_fp64_matrix2x2_convert_to_fp32(const BGC_FP64_Matrix2x2* source, BGC_FP32_Matrix2x2* destination)
{
destination->r1c1 = (float)source->r1c1;
destination->r1c2 = (float)source->r1c2;
@ -218,7 +226,7 @@ inline void bgc_matrix2x2_convert_fp64_to_fp32(const BgcMatrix2x2FP64* source, B
destination->r2c2 = (float)source->r2c2;
}
inline void bgc_matrix2x2_convert_fp32_to_fp64(const BgcMatrix2x2FP32* source, BgcMatrix2x2FP64* destination)
inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source, BGC_FP64_Matrix2x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -227,13 +235,13 @@ inline void bgc_matrix2x2_convert_fp32_to_fp64(const BgcMatrix2x2FP32* source, B
destination->r2c2 = source->r2c2;
}
// =================== Invert =================== //
// ================ Get Inverse ================= //
inline int bgc_matrix2x2_invert_fp32(const BgcMatrix2x2FP32* matrix, BgcMatrix2x2FP32* inverted)
inline int bgc_fp32_matrix2x2_get_inverse(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* inverse)
{
const float determinant = bgc_matrix2x2_get_determinant_fp32(matrix);
const float determinant = bgc_fp32_matrix2x2_get_determinant(matrix);
if (bgc_is_zero_fp32(determinant)) {
if (bgc_fp32_is_zero(determinant)) {
return 0;
}
@ -245,20 +253,20 @@ inline int bgc_matrix2x2_invert_fp32(const BgcMatrix2x2FP32* matrix, BgcMatrix2x
const float multiplier = 1.0f / determinant;
inverted->r1c1 = r1c1 * multiplier;
inverted->r1c2 = r1c2 * multiplier;
inverse->r1c1 = r1c1 * multiplier;
inverse->r1c2 = r1c2 * multiplier;
inverted->r2c1 = r2c1 * multiplier;
inverted->r2c2 = r2c2 * multiplier;
inverse->r2c1 = r2c1 * multiplier;
inverse->r2c2 = r2c2 * multiplier;
return 1;
}
inline int bgc_matrix2x2_invert_fp64(const BgcMatrix2x2FP64* matrix, BgcMatrix2x2FP64* inverted)
inline int bgc_fp64_matrix2x2_get_inverse(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* inverse)
{
const double determinant = bgc_matrix2x2_get_determinant_fp64(matrix);
const double determinant = bgc_fp64_matrix2x2_get_determinant(matrix);
if (bgc_is_zero_fp64(determinant)) {
if (bgc_fp64_is_zero(determinant)) {
return 0;
}
@ -270,18 +278,46 @@ inline int bgc_matrix2x2_invert_fp64(const BgcMatrix2x2FP64* matrix, BgcMatrix2x
const double multiplier = 1.0 / determinant;
inverted->r1c1 = r1c1 * multiplier;
inverted->r1c2 = r1c2 * multiplier;
inverse->r1c1 = r1c1 * multiplier;
inverse->r1c2 = r1c2 * multiplier;
inverted->r2c1 = r2c1 * multiplier;
inverted->r2c2 = r2c2 * multiplier;
inverse->r2c1 = r2c1 * multiplier;
inverse->r2c2 = r2c2 * multiplier;
return 1;
}
// =================== Invert =================== //
inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* matrix)
{
return bgc_fp32_matrix2x2_get_inverse(matrix, matrix);
}
inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* matrix)
{
return bgc_fp64_matrix2x2_get_inverse(matrix, matrix);
}
// ================= Transpose ================== //
inline void bgc_matrix2x2_transpose_fp32(const BgcMatrix2x2FP32* matrix, BgcMatrix2x2FP32* transposed)
inline void bgc_fp32_matrix2x2_transpose(BGC_FP32_Matrix2x2* matrix)
{
const float r1c2 = matrix->r1c2;
matrix->r1c2 = matrix->r2c1;
matrix->r2c1 = r1c2;
}
inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* matrix)
{
const double r1c2 = matrix->r1c2;
matrix->r1c2 = matrix->r2c1;
matrix->r2c1 = r1c2;
}
// =============== Get Transpose ================ //
inline void bgc_fp32_matrix2x2_get_transposed(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* transposed)
{
const float r1c2 = matrix->r1c2;
@ -292,7 +328,7 @@ inline void bgc_matrix2x2_transpose_fp32(const BgcMatrix2x2FP32* matrix, BgcMatr
transposed->r2c2 = matrix->r2c2;
}
inline void bgc_matrix2x2_transpose_fp64(const BgcMatrix2x2FP64* matrix, BgcMatrix2x2FP64* transposed)
inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* transposed)
{
const double r1c2 = matrix->r1c2;
@ -303,65 +339,145 @@ inline void bgc_matrix2x2_transpose_fp64(const BgcMatrix2x2FP64* matrix, BgcMatr
transposed->r2c2 = matrix->r2c2;
}
// ================= Set Row 1 ================== //
// ================== Get Row =================== //
inline void bgc_matrix2x2_set_row1_fp32(const float c1, const float c2, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_get_row(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
if (number == 1) {
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
return;
}
if (number == 2) {
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
}
inline void bgc_matrix2x2_set_row1_fp64(const double c1, const double c2, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_get_row(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
if (number == 1) {
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
return;
}
if (number == 2) {
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
return;
}
row->x1 = 0.0;
row->x2 = 0.0;
}
// ================= Set Row 2 ================== //
// ================== Set Row =================== //
inline void bgc_matrix2x2_set_row2_fp32(const float c1, const float c2, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x2* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
if (number == 1) {
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
return;
}
if (number == 2) {
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
}
}
inline void bgc_matrix2x2_set_row2_fp64(const double c1, const double c2, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x2* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
if (number == 1) {
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
return;
}
if (number == 2) {
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
}
}
// ================ Set Column 1 ================ //
// ================= Get Column ================= //
inline void bgc_matrix2x2_set_column1_fp32(const float r1, const float r2, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_get_column(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* column)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
if (number == 1) {
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
return;
}
if (number == 2) {
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
return;
}
column->x1 = 0.0f;
column->x2 = 0.0f;
}
inline void bgc_matrix2x2_set_column1_fp64(const double r1, const double r2, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_get_column(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* column)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
if (number == 1) {
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
return;
}
if (number == 2) {
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
return;
}
column->x1 = 0.0;
column->x2 = 0.0;
}
// ================ Set Column 2 ================ //
// ================= Set Column ================= //
inline void bgc_matrix2x2_set_column2_fp32(const float r1, const float r2, BgcMatrix2x2FP32* matrix)
inline void bgc_fp32_matrix2x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix2x2* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
if (number == 1) {
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
return;
}
if (number == 2) {
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
}
}
inline void bgc_matrix2x2_set_column2_fp64(const double r1, const double r2, BgcMatrix2x2FP64* matrix)
inline void bgc_fp64_matrix2x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix2x2* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
if (number == 1) {
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
return;
}
if (number == 2) {
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
}
}
// ==================== Add ===================== //
inline void bgc_matrix2x2_add_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x2FP32* sum)
inline void bgc_fp32_matrix2x2_add(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -370,7 +486,7 @@ inline void bgc_matrix2x2_add_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMat
sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
}
inline void bgc_matrix2x2_add_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x2FP64* sum)
inline void bgc_fp64_matrix2x2_add(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -381,7 +497,7 @@ inline void bgc_matrix2x2_add_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMat
// ================= Add scaled ================= //
inline void bgc_matrix2x2_add_scaled_fp32(const BgcMatrix2x2FP32* basic_matrix, const BgcMatrix2x2FP32* scalable_matrix, const float scale, BgcMatrix2x2FP32* sum)
inline void bgc_fp32_matrix2x2_add_scaled(const BGC_FP32_Matrix2x2* basic_matrix, const BGC_FP32_Matrix2x2* scalable_matrix, const float scale, BGC_FP32_Matrix2x2* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -390,7 +506,7 @@ inline void bgc_matrix2x2_add_scaled_fp32(const BgcMatrix2x2FP32* basic_matrix,
sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
}
inline void bgc_matrix2x2_add_scaled_fp64(const BgcMatrix2x2FP64* basic_matrix, const BgcMatrix2x2FP64* scalable_matrix, const double scale, BgcMatrix2x2FP64* sum)
inline void bgc_fp64_matrix2x2_add_scaled(const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale, BGC_FP64_Matrix2x2* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -401,7 +517,7 @@ inline void bgc_matrix2x2_add_scaled_fp64(const BgcMatrix2x2FP64* basic_matrix,
// ================== Subtract ================== //
inline void bgc_matrix2x2_subtract_fp32(const BgcMatrix2x2FP32* minuend, const BgcMatrix2x2FP32* subtrahend, BgcMatrix2x2FP32* difference)
inline void bgc_fp32_matrix2x2_subtract(const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend, BGC_FP32_Matrix2x2* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -410,7 +526,7 @@ inline void bgc_matrix2x2_subtract_fp32(const BgcMatrix2x2FP32* minuend, const B
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
}
inline void bgc_matrix2x2_subtract_fp64(const BgcMatrix2x2FP64* minuend, const BgcMatrix2x2FP64* subtrahend, BgcMatrix2x2FP64* difference)
inline void bgc_fp64_matrix2x2_subtract(const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend, BGC_FP64_Matrix2x2* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -419,29 +535,9 @@ inline void bgc_matrix2x2_subtract_fp64(const BgcMatrix2x2FP64* minuend, const B
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
}
// ============== Subtract scaled =============== //
inline void bgc_matrix2x2_subtract_scaled_fp32(const BgcMatrix2x2FP32* basic_matrix, const BgcMatrix2x2FP32* scalable_matrix, const float scale, BgcMatrix2x2FP32* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
}
inline void bgc_matrix2x2_subtract_scaled_fp64(const BgcMatrix2x2FP64* basic_matrix, const BgcMatrix2x2FP64* scalable_matrix, const double scale, BgcMatrix2x2FP64* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
}
// ================== Multiply ================== //
inline void bgc_matrix2x2_multiply_fp32(const BgcMatrix2x2FP32* multiplicand, const float multiplier, BgcMatrix2x2FP32* product)
inline void bgc_fp32_matrix2x2_multiply(const BGC_FP32_Matrix2x2* multiplicand, const float multiplier, BGC_FP32_Matrix2x2* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -450,7 +546,7 @@ inline void bgc_matrix2x2_multiply_fp32(const BgcMatrix2x2FP32* multiplicand, co
product->r2c2 = multiplicand->r2c2 * multiplier;
}
inline void bgc_matrix2x2_multiply_fp64(const BgcMatrix2x2FP64* multiplicand, const double multiplier, BgcMatrix2x2FP64* product)
inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand, const double multiplier, BGC_FP64_Matrix2x2* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -461,39 +557,43 @@ inline void bgc_matrix2x2_multiply_fp64(const BgcMatrix2x2FP64* multiplicand, co
// =================== Divide =================== //
inline void bgc_matrix2x2_divide_fp32(const BgcMatrix2x2FP32* dividend, const float divisor, BgcMatrix2x2FP32* quotient)
inline void bgc_fp32_matrix2x2_divide(const BGC_FP32_Matrix2x2* dividend, const float divisor, BGC_FP32_Matrix2x2* quotient)
{
bgc_matrix2x2_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_matrix2x2_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_matrix2x2_divide_fp64(const BgcMatrix2x2FP64* dividend, const double divisor, BgcMatrix2x2FP64* quotient)
inline void bgc_fp64_matrix2x2_divide(const BGC_FP64_Matrix2x2* dividend, const double divisor, BGC_FP64_Matrix2x2* quotient)
{
bgc_matrix2x2_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_matrix2x2_multiply(dividend, 1.0 / divisor, quotient);
}
// ============ Left Vector Product ============= //
// ================ Interpolate ================= //
inline void bgc_matrix2x2_get_left_product_fp32(const BgcVector2FP32* vector, const BgcMatrix2x2FP32* matrix, BgcVector2FP32* product)
inline void bgc_fp32_matrix2x2_interpolate(const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase, BGC_FP32_Matrix2x2* interpolation)
{
const float x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
const float x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
const float counter_phase = 1.0f - phase;
product->x1 = x1;
product->x2 = x2;
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
}
inline void bgc_matrix2x2_get_left_product_fp64(const BgcVector2FP64* vector, const BgcMatrix2x2FP64* matrix, BgcVector2FP64* product)
inline void bgc_fp64_matrix2x2_interpolate(const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase, BGC_FP64_Matrix2x2* interpolation)
{
const double x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
const double x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
const double counter_phase = 1.0 - phase;
product->x1 = x1;
product->x2 = x2;
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
}
// ============ Right Vector Product ============ //
inline void bgc_matrix2x2_get_right_product_fp32(const BgcMatrix2x2FP32* matrix, const BgcVector2FP32* vector, BgcVector2FP32* product)
inline void bgc_fp32_multiply_matrix2x2_by_vector2(const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* product)
{
const float x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
const float x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
@ -502,7 +602,7 @@ inline void bgc_matrix2x2_get_right_product_fp32(const BgcMatrix2x2FP32* matrix,
product->x2 = x2;
}
inline void bgc_matrix2x2_get_right_product_fp64(const BgcMatrix2x2FP64* matrix, const BgcVector2FP64* vector, BgcVector2FP64* product)
inline void bgc_fp64_multiply_matrix2x2_by_vector2(const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* product)
{
const double x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
const double x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
@ -511,4 +611,24 @@ inline void bgc_matrix2x2_get_right_product_fp64(const BgcMatrix2x2FP64* matrix,
product->x2 = x2;
}
// ============ Left Vector Product ============= //
inline void bgc_fp32_multiply_vector2_by_matrix2x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* product)
{
const float x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
const float x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
product->x1 = x1;
product->x2 = x2;
}
inline void bgc_fp64_multiply_vector2_by_matrix2x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* product)
{
const double x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
const double x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
product->x1 = x1;
product->x2 = x2;
}
#endif

View file

@ -1,55 +1,52 @@
#include "matrix2x3.h"
extern inline void bgc_matrix2x3_reset_fp32(BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_reset_fp64(BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_reset(BGC_FP32_Matrix2x3* matrix);
extern inline void bgc_fp64_matrix2x3_reset(BGC_FP64_Matrix2x3* matrix);
extern inline void bgc_matrix2x3_copy_fp32(const BgcMatrix2x3FP32* source, BgcMatrix2x3FP32* destination);
extern inline void bgc_matrix2x3_copy_fp64(const BgcMatrix2x3FP64* source, BgcMatrix2x3FP64* destination);
extern inline void bgc_fp32_matrix2x3_copy(const BGC_FP32_Matrix2x3* source, BGC_FP32_Matrix2x3* destination);
extern inline void bgc_fp64_matrix2x3_copy(const BGC_FP64_Matrix2x3* source, BGC_FP64_Matrix2x3* destination);
extern inline void bgc_matrix2x3_swap_fp32(BgcMatrix2x3FP32* matrix1, BgcMatrix2x3FP32* matrix2);
extern inline void bgc_matrix2x3_swap_fp64(BgcMatrix2x3FP64* matrix1, BgcMatrix2x3FP64* matrix2);
extern inline void bgc_fp32_matrix2x3_swap(BGC_FP32_Matrix2x3* matrix1, BGC_FP32_Matrix2x3* matrix2);
extern inline void bgc_fp64_matrix2x3_swap(BGC_FP64_Matrix2x3* matrix1, BGC_FP64_Matrix2x3* matrix2);
extern inline void bgc_matrix2x3_convert_fp64_to_fp32(const BgcMatrix2x3FP64* source, BgcMatrix2x3FP32* destination);
extern inline void bgc_matrix2x3_convert_fp32_to_fp64(const BgcMatrix2x3FP32* source, BgcMatrix2x3FP64* destination);
extern inline void bgc_fp64_matrix2x3_convert_to_fp32(const BGC_FP64_Matrix2x3* source, BGC_FP32_Matrix2x3* destination);
extern inline void bgc_fp32_matrix2x3_convert_to_fp64(const BGC_FP32_Matrix2x3* source, BGC_FP64_Matrix2x3* destination);
extern inline void bgc_matrix2x3_transpose_fp32(const BgcMatrix3x2FP32* matrix, BgcMatrix2x3FP32* transposed);
extern inline void bgc_matrix2x3_transpose_fp64(const BgcMatrix3x2FP64* matrix, BgcMatrix2x3FP64* transposed);
extern inline void bgc_fp32_matrix2x3_get_transposed(const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Matrix2x3* transposed);
extern inline void bgc_fp64_matrix2x3_get_transposed(const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Matrix2x3* transposed);
extern inline void bgc_matrix2x3_set_row1_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_set_row1_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_get_row(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* row);
extern inline void bgc_fp64_matrix2x3_get_row(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* row);
extern inline void bgc_matrix2x3_set_row2_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_set_row2_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x3* matrix);
extern inline void bgc_fp64_matrix2x3_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x3* matrix);
extern inline void bgc_matrix2x3_set_row3_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_set_row3_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_get_column(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector3* column);
extern inline void bgc_fp64_matrix2x3_get_column(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector3* column);
extern inline void bgc_matrix2x3_set_column1_fp32(const float r1, const float r2, const float r3, BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_set_column1_fp64(const double r1, const double r2, const double r3, BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix2x3* matrix);
extern inline void bgc_fp64_matrix2x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix2x3* matrix);
extern inline void bgc_matrix2x3_set_column2_fp32(const float r1, const float r2, const float r3, BgcMatrix2x3FP32* matrix);
extern inline void bgc_matrix2x3_set_column2_fp64(const double r1, const double r2, const double r3, BgcMatrix2x3FP64* matrix);
extern inline void bgc_fp32_matrix2x3_add(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* sum);
extern inline void bgc_fp64_matrix2x3_add(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* sum);
extern inline void bgc_matrix2x3_add_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x3FP32* sum);
extern inline void bgc_matrix2x3_add_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x3FP64* sum);
extern inline void bgc_fp32_matrix2x3_add_scaled(const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale, BGC_FP32_Matrix2x3* sum);
extern inline void bgc_fp64_matrix2x3_add_scaled(const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale, BGC_FP64_Matrix2x3* sum);
extern inline void bgc_matrix2x3_add_scaled_fp32(const BgcMatrix2x3FP32* basic_matrix, const BgcMatrix2x3FP32* scalable_matrix, const float scale, BgcMatrix2x3FP32* sum);
extern inline void bgc_matrix2x3_add_scaled_fp64(const BgcMatrix2x3FP64* basic_matrix, const BgcMatrix2x3FP64* scalable_matrix, const double scale, BgcMatrix2x3FP64* sum);
extern inline void bgc_fp32_matrix2x3_subtract(const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend, BGC_FP32_Matrix2x3* difference);
extern inline void bgc_fp64_matrix2x3_subtract(const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend, BGC_FP64_Matrix2x3* difference);
extern inline void bgc_matrix2x3_subtract_fp32(const BgcMatrix2x3FP32* minuend, const BgcMatrix2x3FP32* subtrahend, BgcMatrix2x3FP32* difference);
extern inline void bgc_matrix2x3_subtract_fp64(const BgcMatrix2x3FP64* minuend, const BgcMatrix2x3FP64* subtrahend, BgcMatrix2x3FP64* difference);
extern inline void bgc_fp32_matrix2x3_multiply(const BGC_FP32_Matrix2x3* multiplicand, const float multiplier, BGC_FP32_Matrix2x3* product);
extern inline void bgc_fp64_matrix2x3_multiply(const BGC_FP64_Matrix2x3* multiplicand, const double multiplier, BGC_FP64_Matrix2x3* product);
extern inline void bgc_matrix2x3_subtract_scaled_fp32(const BgcMatrix2x3FP32* basic_matrix, const BgcMatrix2x3FP32* scalable_matrix, const float scale, BgcMatrix2x3FP32* difference);
extern inline void bgc_matrix2x3_subtract_scaled_fp64(const BgcMatrix2x3FP64* basic_matrix, const BgcMatrix2x3FP64* scalable_matrix, const double scale, BgcMatrix2x3FP64* difference);
extern inline void bgc_fp32_matrix2x3_divide(const BGC_FP32_Matrix2x3* dividend, const float divisor, BGC_FP32_Matrix2x3* quotient);
extern inline void bgc_fp64_matrix2x3_divide(const BGC_FP64_Matrix2x3* dividend, const double divisor, BGC_FP64_Matrix2x3* quotient);
extern inline void bgc_matrix2x3_multiply_fp32(const BgcMatrix2x3FP32* multiplicand, const float multiplier, BgcMatrix2x3FP32* product);
extern inline void bgc_matrix2x3_multiply_fp64(const BgcMatrix2x3FP64* multiplicand, const double multiplier, BgcMatrix2x3FP64* product);
extern inline void bgc_fp32_matrix2x3_interpolate(const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase, BGC_FP32_Matrix2x3* interpolation);
extern inline void bgc_fp64_matrix2x3_interpolate(const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase, BGC_FP64_Matrix2x3* interpolation);
extern inline void bgc_matrix2x3_divide_fp32(const BgcMatrix2x3FP32* dividend, const float divisor, BgcMatrix2x3FP32* quotient);
extern inline void bgc_matrix2x3_divide_fp64(const BgcMatrix2x3FP64* dividend, const double divisor, BgcMatrix2x3FP64* quotient);
extern inline void bgc_fp32_multiply_vector3_by_matrix2x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_vector3_by_matrix2x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* product);
extern inline void bgc_matrix2x3_get_left_product_fp32(const BgcVector3FP32* vector, const BgcMatrix2x3FP32* matrix, BgcVector2FP32* result);
extern inline void bgc_matrix2x3_get_left_product_fp64(const BgcVector3FP64* vector, const BgcMatrix2x3FP64* matrix, BgcVector2FP64* result);
extern inline void bgc_matrix2x3_get_right_product_fp32(const BgcMatrix2x3FP32* matrix, const BgcVector2FP32* vector, BgcVector3FP32* result);
extern inline void bgc_matrix2x3_get_right_product_fp64(const BgcMatrix2x3FP64* matrix, const BgcVector2FP64* vector, BgcVector3FP64* result);
extern inline void bgc_fp32_multiply_matrix2x3_by_vector2(const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector3* product);
extern inline void bgc_fp64_multiply_matrix2x3_by_vector2(const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector3* product);

View file

@ -7,7 +7,7 @@
// =================== Reset ==================== //
inline void bgc_matrix2x3_reset_fp32(BgcMatrix2x3FP32* matrix)
inline void bgc_fp32_matrix2x3_reset(BGC_FP32_Matrix2x3* matrix)
{
matrix->r1c1 = 0.0f;
matrix->r1c2 = 0.0f;
@ -19,7 +19,7 @@ inline void bgc_matrix2x3_reset_fp32(BgcMatrix2x3FP32* matrix)
matrix->r3c2 = 0.0f;
}
inline void bgc_matrix2x3_reset_fp64(BgcMatrix2x3FP64* matrix)
inline void bgc_fp64_matrix2x3_reset(BGC_FP64_Matrix2x3* matrix)
{
matrix->r1c1 = 0.0;
matrix->r1c2 = 0.0;
@ -33,7 +33,7 @@ inline void bgc_matrix2x3_reset_fp64(BgcMatrix2x3FP64* matrix)
// ==================== Copy ==================== //
inline void bgc_matrix2x3_copy_fp32(const BgcMatrix2x3FP32* source, BgcMatrix2x3FP32* destination)
inline void bgc_fp32_matrix2x3_copy(const BGC_FP32_Matrix2x3* source, BGC_FP32_Matrix2x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -45,7 +45,7 @@ inline void bgc_matrix2x3_copy_fp32(const BgcMatrix2x3FP32* source, BgcMatrix2x3
destination->r3c2 = source->r3c2;
}
inline void bgc_matrix2x3_copy_fp64(const BgcMatrix2x3FP64* source, BgcMatrix2x3FP64* destination)
inline void bgc_fp64_matrix2x3_copy(const BGC_FP64_Matrix2x3* source, BGC_FP64_Matrix2x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -59,7 +59,7 @@ inline void bgc_matrix2x3_copy_fp64(const BgcMatrix2x3FP64* source, BgcMatrix2x3
// ==================== Swap ==================== //
inline void bgc_matrix2x3_swap_fp32(BgcMatrix2x3FP32* matrix1, BgcMatrix2x3FP32* matrix2)
inline void bgc_fp32_matrix2x3_swap(BGC_FP32_Matrix2x3* matrix1, BGC_FP32_Matrix2x3* matrix2)
{
const float r1c1 = matrix2->r1c1;
const float r1c2 = matrix2->r1c2;
@ -89,7 +89,7 @@ inline void bgc_matrix2x3_swap_fp32(BgcMatrix2x3FP32* matrix1, BgcMatrix2x3FP32*
matrix1->r3c2 = r3c2;
}
inline void bgc_matrix2x3_swap_fp64(BgcMatrix2x3FP64* matrix1, BgcMatrix2x3FP64* matrix2)
inline void bgc_fp64_matrix2x3_swap(BGC_FP64_Matrix2x3* matrix1, BGC_FP64_Matrix2x3* matrix2)
{
const double r1c1 = matrix2->r1c1;
const double r1c2 = matrix2->r1c2;
@ -121,7 +121,7 @@ inline void bgc_matrix2x3_swap_fp64(BgcMatrix2x3FP64* matrix1, BgcMatrix2x3FP64*
// ================== Convert =================== //
inline void bgc_matrix2x3_convert_fp64_to_fp32(const BgcMatrix2x3FP64* source, BgcMatrix2x3FP32* destination)
inline void bgc_fp64_matrix2x3_convert_to_fp32(const BGC_FP64_Matrix2x3* source, BGC_FP32_Matrix2x3* destination)
{
destination->r1c1 = (float)source->r1c1;
destination->r1c2 = (float)source->r1c2;
@ -133,7 +133,7 @@ inline void bgc_matrix2x3_convert_fp64_to_fp32(const BgcMatrix2x3FP64* source, B
destination->r3c2 = (float)source->r3c2;
}
inline void bgc_matrix2x3_convert_fp32_to_fp64(const BgcMatrix2x3FP32* source, BgcMatrix2x3FP64* destination)
inline void bgc_fp32_matrix2x3_convert_to_fp64(const BGC_FP32_Matrix2x3* source, BGC_FP64_Matrix2x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -147,7 +147,7 @@ inline void bgc_matrix2x3_convert_fp32_to_fp64(const BgcMatrix2x3FP32* source, B
// ================= Transpose ================== //
inline void bgc_matrix2x3_transpose_fp32(const BgcMatrix3x2FP32* matrix, BgcMatrix2x3FP32* transposed)
inline void bgc_fp32_matrix2x3_get_transposed(const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Matrix2x3* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r1c2 = matrix->r2c1;
@ -159,7 +159,7 @@ inline void bgc_matrix2x3_transpose_fp32(const BgcMatrix3x2FP32* matrix, BgcMatr
transposed->r3c2 = matrix->r2c3;
}
inline void bgc_matrix2x3_transpose_fp64(const BgcMatrix3x2FP64* matrix, BgcMatrix2x3FP64* transposed)
inline void bgc_fp64_matrix2x3_get_transposed(const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Matrix2x3* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r1c2 = matrix->r2c1;
@ -171,83 +171,169 @@ inline void bgc_matrix2x3_transpose_fp64(const BgcMatrix3x2FP64* matrix, BgcMatr
transposed->r3c2 = matrix->r2c3;
}
// ================= Set Row 1 ================== //
// ================== Get Row =================== //
inline void bgc_matrix2x3_set_row1_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix)
inline void bgc_fp32_matrix2x3_get_row(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
if (number == 1) {
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
return;
}
if (number == 2) {
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
return;
}
if (number == 3) {
row->x1 = matrix->r3c1;
row->x2 = matrix->r3c2;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
}
inline void bgc_matrix2x3_set_row1_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix)
inline void bgc_fp64_matrix2x3_get_row(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
if (number == 1) {
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
return;
}
if (number == 2) {
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
return;
}
if (number == 3) {
row->x1 = matrix->r3c1;
row->x2 = matrix->r3c2;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
}
// ================= Set Row 2 ================== //
// ================== Set Row =================== //
inline void bgc_matrix2x3_set_row2_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix)
inline void bgc_fp32_matrix2x3_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x3* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
if (number == 1) {
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
return;
}
if (number == 2) {
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
return;
}
if (number == 3) {
matrix->r3c1 = row->x1;
matrix->r3c2 = row->x2;
}
}
inline void bgc_matrix2x3_set_row2_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix)
inline void bgc_fp64_matrix2x3_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x3* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
if (number == 1) {
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
return;
}
if (number == 2) {
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
return;
}
if (number == 3) {
matrix->r3c1 = row->x1;
matrix->r3c2 = row->x2;
}
}
// ================= Set Row 3 ================== //
// ================= Get Column ================= //
inline void bgc_matrix2x3_set_row3_fp32(const float c1, const float c2, BgcMatrix2x3FP32* matrix)
inline void bgc_fp32_matrix2x3_get_column(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector3* column)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
if (number == 1) {
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
column->x3 = matrix->r3c1;
return;
}
if (number == 2) {
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
column->x3 = matrix->r3c2;
}
}
inline void bgc_matrix2x3_set_row3_fp64(const double c1, const double c2, BgcMatrix2x3FP64* matrix)
inline void bgc_fp64_matrix2x3_get_column(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector3* column)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
if (number == 1) {
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
column->x3 = matrix->r3c1;
return;
}
if (number == 2) {
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
column->x3 = matrix->r3c2;
}
}
// ================ Set Column 1 ================ //
// ================= Set Column ================= //
inline void bgc_matrix2x3_set_column1_fp32(const float r1, const float r2, const float r3, BgcMatrix2x3FP32* matrix)
inline void bgc_fp32_matrix2x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix2x3* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
if (number == 1) {
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
matrix->r3c1 = column->x3;
return;
}
if (number == 2) {
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
matrix->r3c2 = column->x3;
}
}
inline void bgc_matrix2x3_set_column1_fp64(const double r1, const double r2, const double r3, BgcMatrix2x3FP64* matrix)
inline void bgc_fp64_matrix2x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix2x3* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
}
if (number == 1) {
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
matrix->r3c1 = column->x3;
return;
}
// ================ Set Column 2 ================ //
inline void bgc_matrix2x3_set_column2_fp32(const float r1, const float r2, const float r3, BgcMatrix2x3FP32* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
}
inline void bgc_matrix2x3_set_column2_fp64(const double r1, const double r2, const double r3, BgcMatrix2x3FP64* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
if (number == 2) {
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
matrix->r3c2 = column->x3;
}
}
// ==================== Add ===================== //
inline void bgc_matrix2x3_add_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x3FP32* sum)
inline void bgc_fp32_matrix2x3_add(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -259,7 +345,7 @@ inline void bgc_matrix2x3_add_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMat
sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
}
inline void bgc_matrix2x3_add_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x3FP64* sum)
inline void bgc_fp64_matrix2x3_add(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -273,7 +359,7 @@ inline void bgc_matrix2x3_add_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMat
// ================= Add scaled ================= //
inline void bgc_matrix2x3_add_scaled_fp32(const BgcMatrix2x3FP32* basic_matrix, const BgcMatrix2x3FP32* scalable_matrix, const float scale, BgcMatrix2x3FP32* sum)
inline void bgc_fp32_matrix2x3_add_scaled(const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale, BGC_FP32_Matrix2x3* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -285,7 +371,7 @@ inline void bgc_matrix2x3_add_scaled_fp32(const BgcMatrix2x3FP32* basic_matrix,
sum->r3c2 = basic_matrix->r3c2 + scalable_matrix->r3c2 * scale;
}
inline void bgc_matrix2x3_add_scaled_fp64(const BgcMatrix2x3FP64* basic_matrix, const BgcMatrix2x3FP64* scalable_matrix, const double scale, BgcMatrix2x3FP64* sum)
inline void bgc_fp64_matrix2x3_add_scaled(const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale, BGC_FP64_Matrix2x3* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -299,7 +385,7 @@ inline void bgc_matrix2x3_add_scaled_fp64(const BgcMatrix2x3FP64* basic_matrix,
// ================== Subtract ================== //
inline void bgc_matrix2x3_subtract_fp32(const BgcMatrix2x3FP32* minuend, const BgcMatrix2x3FP32* subtrahend, BgcMatrix2x3FP32* difference)
inline void bgc_fp32_matrix2x3_subtract(const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend, BGC_FP32_Matrix2x3* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -311,7 +397,7 @@ inline void bgc_matrix2x3_subtract_fp32(const BgcMatrix2x3FP32* minuend, const B
difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
}
inline void bgc_matrix2x3_subtract_fp64(const BgcMatrix2x3FP64* minuend, const BgcMatrix2x3FP64* subtrahend, BgcMatrix2x3FP64* difference)
inline void bgc_fp64_matrix2x3_subtract(const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend, BGC_FP64_Matrix2x3* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -323,35 +409,9 @@ inline void bgc_matrix2x3_subtract_fp64(const BgcMatrix2x3FP64* minuend, const B
difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
}
// ============== Subtract scaled =============== //
inline void bgc_matrix2x3_subtract_scaled_fp32(const BgcMatrix2x3FP32* basic_matrix, const BgcMatrix2x3FP32* scalable_matrix, const float scale, BgcMatrix2x3FP32* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r3c1 = basic_matrix->r3c1 - scalable_matrix->r3c1 * scale;
difference->r3c2 = basic_matrix->r3c2 - scalable_matrix->r3c2 * scale;
}
inline void bgc_matrix2x3_subtract_scaled_fp64(const BgcMatrix2x3FP64* basic_matrix, const BgcMatrix2x3FP64* scalable_matrix, const double scale, BgcMatrix2x3FP64* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r3c1 = basic_matrix->r3c1 - scalable_matrix->r3c1 * scale;
difference->r3c2 = basic_matrix->r3c2 - scalable_matrix->r3c2 * scale;
}
// ================== Multiply ================== //
inline void bgc_matrix2x3_multiply_fp32(const BgcMatrix2x3FP32* multiplicand, const float multiplier, BgcMatrix2x3FP32* product)
inline void bgc_fp32_matrix2x3_multiply(const BGC_FP32_Matrix2x3* multiplicand, const float multiplier, BGC_FP32_Matrix2x3* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -363,7 +423,7 @@ inline void bgc_matrix2x3_multiply_fp32(const BgcMatrix2x3FP32* multiplicand, co
product->r3c2 = multiplicand->r3c2 * multiplier;
}
inline void bgc_matrix2x3_multiply_fp64(const BgcMatrix2x3FP64* multiplicand, const double multiplier, BgcMatrix2x3FP64* product)
inline void bgc_fp64_matrix2x3_multiply(const BGC_FP64_Matrix2x3* multiplicand, const double multiplier, BGC_FP64_Matrix2x3* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -377,44 +437,74 @@ inline void bgc_matrix2x3_multiply_fp64(const BgcMatrix2x3FP64* multiplicand, co
// =================== Divide =================== //
inline void bgc_matrix2x3_divide_fp32(const BgcMatrix2x3FP32* dividend, const float divisor, BgcMatrix2x3FP32* quotient)
inline void bgc_fp32_matrix2x3_divide(const BGC_FP32_Matrix2x3* dividend, const float divisor, BGC_FP32_Matrix2x3* quotient)
{
bgc_matrix2x3_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_matrix2x3_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_matrix2x3_divide_fp64(const BgcMatrix2x3FP64* dividend, const double divisor, BgcMatrix2x3FP64* quotient)
inline void bgc_fp64_matrix2x3_divide(const BGC_FP64_Matrix2x3* dividend, const double divisor, BGC_FP64_Matrix2x3* quotient)
{
bgc_matrix2x3_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_matrix2x3_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Interpolate ================= //
inline void bgc_fp32_matrix2x3_interpolate(const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase, BGC_FP32_Matrix2x3* interpolation)
{
const float couter_phase = 1.0f - phase;
interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
interpolation->r3c1 = first->r3c1 * couter_phase + second->r3c1 * phase;
interpolation->r3c2 = first->r3c2 * couter_phase + second->r3c2 * phase;
}
inline void bgc_fp64_matrix2x3_interpolate(const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase, BGC_FP64_Matrix2x3* interpolation)
{
const double couter_phase = 1.0 - phase;
interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
interpolation->r3c1 = first->r3c1 * couter_phase + second->r3c1 * phase;
interpolation->r3c2 = first->r3c2 * couter_phase + second->r3c2 * phase;
}
// ============ Left Vector Product ============= //
inline void bgc_matrix2x3_get_left_product_fp32(const BgcVector3FP32* vector, const BgcMatrix2x3FP32* matrix, BgcVector2FP32* result)
inline void bgc_fp32_multiply_vector3_by_matrix2x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* product)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
}
inline void bgc_matrix2x3_get_left_product_fp64(const BgcVector3FP64* vector, const BgcMatrix2x3FP64* matrix, BgcVector2FP64* result)
inline void bgc_fp64_multiply_vector3_by_matrix2x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* product)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
}
// ============ Right Vector Product ============ //
inline void bgc_matrix2x3_get_right_product_fp32(const BgcMatrix2x3FP32* matrix, const BgcVector2FP32* vector, BgcVector3FP32* result)
inline void bgc_fp32_multiply_matrix2x3_by_vector2(const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector3* product)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
result->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
product->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
}
inline void bgc_matrix2x3_get_right_product_fp64(const BgcMatrix2x3FP64* matrix, const BgcVector2FP64* vector, BgcVector3FP64* result)
inline void bgc_fp64_multiply_matrix2x3_by_vector2(const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector3* product)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
result->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
product->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
}
#endif

View file

@ -1,55 +1,52 @@
#include "matrix3x2.h"
extern inline void bgc_matrix3x2_reset_fp32(BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_reset_fp64(BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_reset(BGC_FP32_Matrix3x2* matrix);
extern inline void bgc_fp64_matrix3x2_reset(BGC_FP64_Matrix3x2* matrix);
extern inline void bgc_matrix3x2_copy_fp32(const BgcMatrix3x2FP32* source, BgcMatrix3x2FP32* destination);
extern inline void bgc_matrix3x2_copy_fp64(const BgcMatrix3x2FP64* source, BgcMatrix3x2FP64* destination);
extern inline void bgc_fp32_matrix3x2_copy(const BGC_FP32_Matrix3x2* source, BGC_FP32_Matrix3x2* destination);
extern inline void bgc_fp64_matrix3x2_copy(const BGC_FP64_Matrix3x2* source, BGC_FP64_Matrix3x2* destination);
extern inline void bgc_matrix3x2_swap_fp32(BgcMatrix3x2FP32* matrix1, BgcMatrix3x2FP32* matrix2);
extern inline void bgc_matrix3x2_swap_fp64(BgcMatrix3x2FP64* matrix1, BgcMatrix3x2FP64* matrix2);
extern inline void bgc_fp32_matrix3x2_swap(BGC_FP32_Matrix3x2* matrix1, BGC_FP32_Matrix3x2* matrix2);
extern inline void bgc_fp64_matrix3x2_swap(BGC_FP64_Matrix3x2* matrix1, BGC_FP64_Matrix3x2* matrix2);
extern inline void bgc_matrix3x2_convert_fp64_to_fp32(const BgcMatrix3x2FP64* source, BgcMatrix3x2FP32* destination);
extern inline void bgc_matrix3x2_convert_fp32_to_fp64(const BgcMatrix3x2FP32* source, BgcMatrix3x2FP64* destination);
extern inline void bgc_fp64_matrix3x2_convert_to_fp32(const BGC_FP64_Matrix3x2* source, BGC_FP32_Matrix3x2* destination);
extern inline void bgc_fp32_matrix3x2_convert_to_fp64(const BGC_FP32_Matrix3x2* source, BGC_FP64_Matrix3x2* destination);
extern inline void bgc_matrix3x2_transpose_fp32(const BgcMatrix2x3FP32* matrix, BgcMatrix3x2FP32* transposed);
extern inline void bgc_matrix3x2_transpose_fp64(const BgcMatrix2x3FP64* matrix, BgcMatrix3x2FP64* transposed);
extern inline void bgc_fp32_matrix3x2_get_transposed(const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Matrix3x2* transposed);
extern inline void bgc_fp64_matrix3x2_get_transposed(const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Matrix3x2* transposed);
extern inline void bgc_matrix3x2_set_row1_fp32(const float c1, const float c2, const float c3, BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_set_row1_fp64(const double c1, const double c2, const double c3, BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* row);
extern inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* row);
extern inline void bgc_matrix3x2_set_row2_fp32(const float c1, const float c2, const float c3, BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_set_row2_fp64(const double c1, const double c2, const double c3, BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x2* matrix);
extern inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x2* matrix);
extern inline void bgc_matrix3x2_set_column1_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_set_column1_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_get_column(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector2* column);
extern inline void bgc_fp64_matrix3x2_get_column(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector2* column);
extern inline void bgc_matrix3x2_set_column2_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_set_column2_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix3x2* matrix);
extern inline void bgc_fp64_matrix3x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix3x2* matrix);
extern inline void bgc_matrix3x2_set_column3_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix);
extern inline void bgc_matrix3x2_set_column3_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix);
extern inline void bgc_fp32_matrix3x2_add(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* sum);
extern inline void bgc_fp64_matrix3x2_add(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* sum);
extern inline void bgc_matrix3x2_add_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x2FP32* sum);
extern inline void bgc_matrix3x2_add_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x2FP64* sum);
extern inline void bgc_fp32_matrix3x2_add_scaled(const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale, BGC_FP32_Matrix3x2* sum);
extern inline void bgc_fp64_matrix3x2_add_scaled(const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale, BGC_FP64_Matrix3x2* sum);
extern inline void bgc_matrix3x2_add_scaled_fp32(const BgcMatrix3x2FP32* basic_matrix, const BgcMatrix3x2FP32* scalable_matrix, const float scale, BgcMatrix3x2FP32* sum);
extern inline void bgc_matrix3x2_add_scaled_fp64(const BgcMatrix3x2FP64* basic_matrix, const BgcMatrix3x2FP64* scalable_matrix, const double scale, BgcMatrix3x2FP64* sum);
extern inline void bgc_fp32_matrix3x2_subtract(const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend, BGC_FP32_Matrix3x2* difference);
extern inline void bgc_fp64_matrix3x2_subtract(const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend, BGC_FP64_Matrix3x2* difference);
extern inline void bgc_matrix3x2_subtract_fp32(const BgcMatrix3x2FP32* minuend, const BgcMatrix3x2FP32* subtrahend, BgcMatrix3x2FP32* difference);
extern inline void bgc_matrix3x2_subtract_fp64(const BgcMatrix3x2FP64* minuend, const BgcMatrix3x2FP64* subtrahend, BgcMatrix3x2FP64* difference);
extern inline void bgc_fp32_matrix3x2_multiply(const BGC_FP32_Matrix3x2* multiplicand, const float multiplier, BGC_FP32_Matrix3x2* product);
extern inline void bgc_fp64_matrix3x2_multiply(const BGC_FP64_Matrix3x2* multiplicand, const double multiplier, BGC_FP64_Matrix3x2* product);
extern inline void bgc_matrix3x2_subtract_scaled_fp32(const BgcMatrix3x2FP32* basic_matrix, const BgcMatrix3x2FP32* scalable_matrix, const float scale, BgcMatrix3x2FP32* difference);
extern inline void bgc_matrix3x2_subtract_scaled_fp64(const BgcMatrix3x2FP64* basic_matrix, const BgcMatrix3x2FP64* scalable_matrix, const double scale, BgcMatrix3x2FP64* difference);
extern inline void bgc_fp32_matrix3x2_divide(const BGC_FP32_Matrix3x2* dividend, const float divisor, BGC_FP32_Matrix3x2* quotient);
extern inline void bgc_fp64_matrix3x2_divide(const BGC_FP64_Matrix3x2* dividend, const double divisor, BGC_FP64_Matrix3x2* quotient);
extern inline void bgc_matrix3x2_multiply_fp32(const BgcMatrix3x2FP32* multiplicand, const float multiplier, BgcMatrix3x2FP32* product);
extern inline void bgc_matrix3x2_multiply_fp64(const BgcMatrix3x2FP64* multiplicand, const double multiplier, BgcMatrix3x2FP64* product);
extern inline void bgc_fp32_matrix3x2_interpolate(const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase, BGC_FP32_Matrix3x2* interpolation);
extern inline void bgc_fp64_matrix3x2_interpolate(const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase, BGC_FP64_Matrix3x2* interpolation);
extern inline void bgc_matrix3x2_divide_fp32(const BgcMatrix3x2FP32* dividend, const float divisor, BgcMatrix3x2FP32* quotient);
extern inline void bgc_matrix3x2_divide_fp64(const BgcMatrix3x2FP64* dividend, const double divisor, BgcMatrix3x2FP64* quotient);
extern inline void bgc_fp32_multiply_vector2_by_matrix3x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* product);
extern inline void bgc_fp64_multiply_vector2_by_matrix3x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* product);
extern inline void bgc_matrix3x2_get_left_product_fp32(const BgcVector2FP32* vector, const BgcMatrix3x2FP32* matrix, BgcVector3FP32* result);
extern inline void bgc_matrix3x2_get_left_product_fp64(const BgcVector2FP64* vector, const BgcMatrix3x2FP64* matrix, BgcVector3FP64* result);
extern inline void bgc_matrix3x2_get_right_product_fp32(const BgcMatrix3x2FP32* matrix, const BgcVector3FP32* vector, BgcVector2FP32* result);
extern inline void bgc_matrix3x2_get_right_product_fp64(const BgcMatrix3x2FP64* matrix, const BgcVector3FP64* vector, BgcVector2FP64* result);
extern inline void bgc_fp32_multiply_matrix3x2_by_vector3(const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_matrix3x2_by_vector3(const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector2* product);

View file

@ -7,7 +7,7 @@
// =================== Reset ==================== //
inline void bgc_matrix3x2_reset_fp32(BgcMatrix3x2FP32* matrix)
inline void bgc_fp32_matrix3x2_reset(BGC_FP32_Matrix3x2* matrix)
{
matrix->r1c1 = 0.0f;
matrix->r1c2 = 0.0f;
@ -18,7 +18,7 @@ inline void bgc_matrix3x2_reset_fp32(BgcMatrix3x2FP32* matrix)
matrix->r2c3 = 0.0f;
}
inline void bgc_matrix3x2_reset_fp64(BgcMatrix3x2FP64* matrix)
inline void bgc_fp64_matrix3x2_reset(BGC_FP64_Matrix3x2* matrix)
{
matrix->r1c1 = 0.0;
matrix->r1c2 = 0.0;
@ -31,7 +31,7 @@ inline void bgc_matrix3x2_reset_fp64(BgcMatrix3x2FP64* matrix)
// ==================== Copy ==================== //
inline void bgc_matrix3x2_copy_fp32(const BgcMatrix3x2FP32* source, BgcMatrix3x2FP32* destination)
inline void bgc_fp32_matrix3x2_copy(const BGC_FP32_Matrix3x2* source, BGC_FP32_Matrix3x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -42,7 +42,7 @@ inline void bgc_matrix3x2_copy_fp32(const BgcMatrix3x2FP32* source, BgcMatrix3x2
destination->r2c3 = source->r2c3;
}
inline void bgc_matrix3x2_copy_fp64(const BgcMatrix3x2FP64* source, BgcMatrix3x2FP64* destination)
inline void bgc_fp64_matrix3x2_copy(const BGC_FP64_Matrix3x2* source, BGC_FP64_Matrix3x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -55,7 +55,7 @@ inline void bgc_matrix3x2_copy_fp64(const BgcMatrix3x2FP64* source, BgcMatrix3x2
// ==================== Swap ==================== //
inline void bgc_matrix3x2_swap_fp32(BgcMatrix3x2FP32* matrix1, BgcMatrix3x2FP32* matrix2)
inline void bgc_fp32_matrix3x2_swap(BGC_FP32_Matrix3x2* matrix1, BGC_FP32_Matrix3x2* matrix2)
{
const float r1c1 = matrix2->r1c1;
const float r1c2 = matrix2->r1c2;
@ -82,7 +82,7 @@ inline void bgc_matrix3x2_swap_fp32(BgcMatrix3x2FP32* matrix1, BgcMatrix3x2FP32*
matrix1->r2c3 = r2c3;
}
inline void bgc_matrix3x2_swap_fp64(BgcMatrix3x2FP64* matrix1, BgcMatrix3x2FP64* matrix2)
inline void bgc_fp64_matrix3x2_swap(BGC_FP64_Matrix3x2* matrix1, BGC_FP64_Matrix3x2* matrix2)
{
const double r1c1 = matrix2->r1c1;
const double r1c2 = matrix2->r1c2;
@ -111,7 +111,7 @@ inline void bgc_matrix3x2_swap_fp64(BgcMatrix3x2FP64* matrix1, BgcMatrix3x2FP64*
// ================== Convert =================== //
inline void bgc_matrix3x2_convert_fp64_to_fp32(const BgcMatrix3x2FP64* source, BgcMatrix3x2FP32* destination)
inline void bgc_fp64_matrix3x2_convert_to_fp32(const BGC_FP64_Matrix3x2* source, BGC_FP32_Matrix3x2* destination)
{
destination->r1c1 = (float)source->r1c1;
destination->r1c2 = (float)source->r1c2;
@ -122,7 +122,7 @@ inline void bgc_matrix3x2_convert_fp64_to_fp32(const BgcMatrix3x2FP64* source, B
destination->r2c3 = (float)source->r2c3;
}
inline void bgc_matrix3x2_convert_fp32_to_fp64(const BgcMatrix3x2FP32* source, BgcMatrix3x2FP64* destination)
inline void bgc_fp32_matrix3x2_convert_to_fp64(const BGC_FP32_Matrix3x2* source, BGC_FP64_Matrix3x2* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -135,7 +135,7 @@ inline void bgc_matrix3x2_convert_fp32_to_fp64(const BgcMatrix3x2FP32* source, B
// ================= Transpose ================== //
inline void bgc_matrix3x2_transpose_fp32(const BgcMatrix2x3FP32* matrix, BgcMatrix3x2FP32* transposed)
inline void bgc_fp32_matrix3x2_get_transposed(const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Matrix3x2* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r1c2 = matrix->r2c1;
@ -146,7 +146,7 @@ inline void bgc_matrix3x2_transpose_fp32(const BgcMatrix2x3FP32* matrix, BgcMatr
transposed->r2c3 = matrix->r3c2;
}
inline void bgc_matrix3x2_transpose_fp64(const BgcMatrix2x3FP64* matrix, BgcMatrix3x2FP64* transposed)
inline void bgc_fp64_matrix3x2_get_transposed(const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Matrix3x2* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r1c2 = matrix->r2c1;
@ -157,83 +157,199 @@ inline void bgc_matrix3x2_transpose_fp64(const BgcMatrix2x3FP64* matrix, BgcMatr
transposed->r2c3 = matrix->r3c2;
}
// ================= Set Row 1 ================== //
// ================== Get Row =================== //
inline void bgc_matrix3x2_set_row1_fp32(const float c1, const float c2, const float c3, BgcMatrix3x2FP32* matrix)
inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
matrix->r1c3 = c3;
if (number == 1)
{
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
row->x3 = matrix->r1c3;
return;
}
if (number == 2)
{
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
row->x3 = matrix->r2c3;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
row->x3 = 0.0f;
}
inline void bgc_matrix3x2_set_row1_fp64(const double c1, const double c2, const double c3, BgcMatrix3x2FP64* matrix)
inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
matrix->r1c3 = c3;
if (number == 1)
{
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
row->x3 = matrix->r1c3;
return;
}
if (number == 2)
{
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
row->x3 = matrix->r2c3;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
row->x3 = 0.0f;
}
// ================= Set Row 2 ================== //
// ================== Set Row =================== //
inline void bgc_matrix3x2_set_row2_fp32(const float c1, const float c2, const float c3, BgcMatrix3x2FP32* matrix)
inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x2* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
matrix->r2c3 = c3;
if (number == 1)
{
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
matrix->r1c3 = row->x3;
return;
}
if (number == 2)
{
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
matrix->r2c3 = row->x3;
}
}
inline void bgc_matrix3x2_set_row2_fp64(const double c1, const double c2, const double c3, BgcMatrix3x2FP64* matrix)
inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x2* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
matrix->r2c3 = c3;
if (number == 1)
{
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
matrix->r1c3 = row->x3;
return;
}
if (number == 2)
{
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
matrix->r2c3 = row->x3;
}
}
// ================ Set Column 1 ================ //
// ================= Get Column ================= //
inline void bgc_matrix3x2_set_column1_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix)
inline void bgc_fp32_matrix3x2_get_column(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector2* column)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
if (number == 1)
{
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
return;
}
if (number == 2)
{
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
return;
}
if (number == 3)
{
column->x1 = matrix->r1c3;
column->x2 = matrix->r2c3;
return;
}
column->x1 = 0.0f;
column->x2 = 0.0f;
}
inline void bgc_matrix3x2_set_column1_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix)
inline void bgc_fp64_matrix3x2_get_column(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector2* column)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
if (number == 1)
{
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
return;
}
if (number == 2)
{
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
return;
}
if (number == 3)
{
column->x1 = matrix->r1c3;
column->x2 = matrix->r2c3;
return;
}
column->x1 = 0.0;
column->x2 = 0.0;
}
// ================ Set Column 2 ================ //
// ================= Set Column ================= //
inline void bgc_matrix3x2_set_column2_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix)
inline void bgc_fp32_matrix3x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix3x2* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
if (number == 1)
{
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
return;
}
if (number == 2)
{
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
return;
}
if (number == 3)
{
matrix->r1c3 = column->x1;
matrix->r2c3 = column->x2;
}
}
inline void bgc_matrix3x2_set_column2_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix)
inline void bgc_fp64_matrix3x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix3x2* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
}
if (number == 1)
{
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
return;
}
// ================ Set Column 3 ================ //
if (number == 2)
{
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
return;
}
inline void bgc_matrix3x2_set_column3_fp32(const float r1, const float r2, BgcMatrix3x2FP32* matrix)
{
matrix->r1c3 = r1;
matrix->r2c3 = r2;
}
inline void bgc_matrix3x2_set_column3_fp64(const double r1, const double r2, BgcMatrix3x2FP64* matrix)
{
matrix->r1c3 = r1;
matrix->r2c3 = r2;
if (number == 3)
{
matrix->r1c3 = column->x1;
matrix->r2c3 = column->x2;
}
}
// ==================== Add ===================== //
inline void bgc_matrix3x2_add_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x2FP32* sum)
inline void bgc_fp32_matrix3x2_add(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -244,7 +360,7 @@ inline void bgc_matrix3x2_add_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMat
sum->r2c3 = matrix1->r2c3 + matrix2->r2c3;
}
inline void bgc_matrix3x2_add_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x2FP64* sum)
inline void bgc_fp64_matrix3x2_add(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -257,7 +373,7 @@ inline void bgc_matrix3x2_add_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMat
// ================= Add scaled ================= //
inline void bgc_matrix3x2_add_scaled_fp32(const BgcMatrix3x2FP32* basic_matrix, const BgcMatrix3x2FP32* scalable_matrix, const float scale, BgcMatrix3x2FP32* sum)
inline void bgc_fp32_matrix3x2_add_scaled(const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale, BGC_FP32_Matrix3x2* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -268,7 +384,7 @@ inline void bgc_matrix3x2_add_scaled_fp32(const BgcMatrix3x2FP32* basic_matrix,
sum->r2c3 = basic_matrix->r2c3 + scalable_matrix->r2c3 * scale;
}
inline void bgc_matrix3x2_add_scaled_fp64(const BgcMatrix3x2FP64* basic_matrix, const BgcMatrix3x2FP64* scalable_matrix, const double scale, BgcMatrix3x2FP64* sum)
inline void bgc_fp64_matrix3x2_add_scaled(const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale, BGC_FP64_Matrix3x2* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -281,7 +397,7 @@ inline void bgc_matrix3x2_add_scaled_fp64(const BgcMatrix3x2FP64* basic_matrix,
// ================== Subtract ================== //
inline void bgc_matrix3x2_subtract_fp32(const BgcMatrix3x2FP32* minuend, const BgcMatrix3x2FP32* subtrahend, BgcMatrix3x2FP32* difference)
inline void bgc_fp32_matrix3x2_subtract(const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend, BGC_FP32_Matrix3x2* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -292,7 +408,7 @@ inline void bgc_matrix3x2_subtract_fp32(const BgcMatrix3x2FP32* minuend, const B
difference->r2c3 = minuend->r2c3 - subtrahend->r2c3;
}
inline void bgc_matrix3x2_subtract_fp64(const BgcMatrix3x2FP64* minuend, const BgcMatrix3x2FP64* subtrahend, BgcMatrix3x2FP64* difference)
inline void bgc_fp64_matrix3x2_subtract(const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend, BGC_FP64_Matrix3x2* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -303,33 +419,9 @@ inline void bgc_matrix3x2_subtract_fp64(const BgcMatrix3x2FP64* minuend, const B
difference->r2c3 = minuend->r2c3 - subtrahend->r2c3;
}
// ============== Subtract scaled =============== //
inline void bgc_matrix3x2_subtract_scaled_fp32(const BgcMatrix3x2FP32* basic_matrix, const BgcMatrix3x2FP32* scalable_matrix, const float scale, BgcMatrix3x2FP32* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r1c3 = basic_matrix->r1c3 - scalable_matrix->r1c3 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r2c3 = basic_matrix->r2c3 - scalable_matrix->r2c3 * scale;
}
inline void bgc_matrix3x2_subtract_scaled_fp64(const BgcMatrix3x2FP64* basic_matrix, const BgcMatrix3x2FP64* scalable_matrix, const double scale, BgcMatrix3x2FP64* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r1c3 = basic_matrix->r1c3 - scalable_matrix->r1c3 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r2c3 = basic_matrix->r2c3 - scalable_matrix->r2c3 * scale;
}
// ================== Multiply ================== //
inline void bgc_matrix3x2_multiply_fp32(const BgcMatrix3x2FP32* multiplicand, const float multiplier, BgcMatrix3x2FP32* product)
inline void bgc_fp32_matrix3x2_multiply(const BGC_FP32_Matrix3x2* multiplicand, const float multiplier, BGC_FP32_Matrix3x2* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -340,7 +432,7 @@ inline void bgc_matrix3x2_multiply_fp32(const BgcMatrix3x2FP32* multiplicand, co
product->r2c3 = multiplicand->r2c3 * multiplier;
}
inline void bgc_matrix3x2_multiply_fp64(const BgcMatrix3x2FP64* multiplicand, const double multiplier, BgcMatrix3x2FP64* product)
inline void bgc_fp64_matrix3x2_multiply(const BGC_FP64_Matrix3x2* multiplicand, const double multiplier, BGC_FP64_Matrix3x2* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -353,44 +445,72 @@ inline void bgc_matrix3x2_multiply_fp64(const BgcMatrix3x2FP64* multiplicand, co
// =================== Divide =================== //
inline void bgc_matrix3x2_divide_fp32(const BgcMatrix3x2FP32* dividend, const float divisor, BgcMatrix3x2FP32* quotient)
inline void bgc_fp32_matrix3x2_divide(const BGC_FP32_Matrix3x2* dividend, const float divisor, BGC_FP32_Matrix3x2* quotient)
{
bgc_matrix3x2_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_matrix3x2_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_matrix3x2_divide_fp64(const BgcMatrix3x2FP64* dividend, const double divisor, BgcMatrix3x2FP64* quotient)
inline void bgc_fp64_matrix3x2_divide(const BGC_FP64_Matrix3x2* dividend, const double divisor, BGC_FP64_Matrix3x2* quotient)
{
bgc_matrix3x2_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_matrix3x2_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Interpolate ================= //
inline void bgc_fp32_matrix3x2_interpolate(const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase, BGC_FP32_Matrix3x2* interpolation)
{
const float couter_phase = 1.0f - phase;
interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
interpolation->r1c3 = first->r1c3 * couter_phase + second->r1c3 * phase;
interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
interpolation->r2c3 = first->r2c3 * couter_phase + second->r2c3 * phase;
}
inline void bgc_fp64_matrix3x2_interpolate(const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase, BGC_FP64_Matrix3x2* interpolation)
{
const double couter_phase = 1.0 - phase;
interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
interpolation->r1c3 = first->r1c3 * couter_phase + second->r1c3 * phase;
interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
interpolation->r2c3 = first->r2c3 * couter_phase + second->r2c3 * phase;
}
// ============ Left Vector Product ============= //
inline void bgc_matrix3x2_get_left_product_fp32(const BgcVector2FP32* vector, const BgcMatrix3x2FP32* matrix, BgcVector3FP32* result)
inline void bgc_fp32_multiply_vector2_by_matrix3x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* product)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
result->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3;
product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
product->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3;
}
inline void bgc_matrix3x2_get_left_product_fp64(const BgcVector2FP64* vector, const BgcMatrix3x2FP64* matrix, BgcVector3FP64* result)
inline void bgc_fp64_multiply_vector2_by_matrix3x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* product)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
result->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3;
product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
product->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3;
}
// ============ Right Vector Product ============ //
inline void bgc_matrix3x2_get_right_product_fp32(const BgcMatrix3x2FP32* matrix, const BgcVector3FP32* vector, BgcVector2FP32* result)
inline void bgc_fp32_multiply_matrix3x2_by_vector3(const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector2* product)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
}
inline void bgc_matrix3x2_get_right_product_fp64(const BgcMatrix3x2FP64* matrix, const BgcVector3FP64* vector, BgcVector2FP64* result)
inline void bgc_fp64_multiply_matrix3x2_by_vector3(const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector2* product)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
}
#endif

View file

@ -1,84 +1,87 @@
#include "matrix3x3.h"
extern inline void bgc_matrix3x3_reset_fp32(BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_reset_fp64(BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_reset(BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_reset(BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_to_identity_fp32(BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_to_identity_fp64(BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_make_identity(BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_make_identity(BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_to_diagonal_fp32(const float d1, const float d2, const float d3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_to_diagonal_fp64(const double d1, const double d2, const double d3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_make_diagonal(const float d1, const float d2, const float d3, BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_make_diagonal(const double d1, const double d2, const double d3, BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_copy_fp32(const BgcMatrix3x3FP32* source, BgcMatrix3x3FP32* destination);
extern inline void bgc_matrix3x3_copy_fp64(const BgcMatrix3x3FP64* source, BgcMatrix3x3FP64* destination);
extern inline void bgc_fp32_matrix3x3_copy(const BGC_FP32_Matrix3x3* source, BGC_FP32_Matrix3x3* destination);
extern inline void bgc_fp64_matrix3x3_copy(const BGC_FP64_Matrix3x3* source, BGC_FP64_Matrix3x3* destination);
extern inline void bgc_matrix3x3_swap_fp32(BgcMatrix3x3FP32* matrix1, BgcMatrix3x3FP32* matrix2);
extern inline void bgc_matrix3x3_swap_fp64(BgcMatrix3x3FP64* matrix1, BgcMatrix3x3FP64* matrix2);
extern inline void bgc_fp32_matrix3x3_swap(BGC_FP32_Matrix3x3* matrix1, BGC_FP32_Matrix3x3* matrix2);
extern inline void bgc_fp64_matrix3x3_swap(BGC_FP64_Matrix3x3* matrix1, BGC_FP64_Matrix3x3* matrix2);
extern inline void bgc_matrix3x3_convert_fp64_to_fp32(const BgcMatrix3x3FP64* source, BgcMatrix3x3FP32* destination);
extern inline void bgc_matrix3x3_convert_fp32_to_fp64(const BgcMatrix3x3FP32* source, BgcMatrix3x3FP64* destination);
extern inline void bgc_fp64_matrix3x3_convert_to_fp32(const BGC_FP64_Matrix3x3* source, BGC_FP32_Matrix3x3* destination);
extern inline void bgc_fp32_matrix3x3_convert_to_fp64(const BGC_FP32_Matrix3x3* source, BGC_FP64_Matrix3x3* destination);
extern inline float bgc_matrix3x3_get_determinant_fp32(const BgcMatrix3x3FP32* matrix);
extern inline double bgc_matrix3x3_get_determinant_fp64(const BgcMatrix3x3FP64* matrix);
extern inline float bgc_fp32_matrix3x3_get_determinant(const BGC_FP32_Matrix3x3* matrix);
extern inline double bgc_fp64_matrix3x3_get_determinant(const BGC_FP64_Matrix3x3* matrix);
extern inline int bgc_matrix3x3_is_singular_fp32(const BgcMatrix3x3FP32* matrix);
extern inline int bgc_matrix3x3_is_singular_fp64(const BgcMatrix3x3FP64* matrix);
extern inline int bgc_fp32_matrix3x3_is_identity(const BGC_FP32_Matrix3x3* matrix);
extern inline int bgc_fp64_matrix3x3_is_identity(const BGC_FP64_Matrix3x3* matrix);
extern inline int bgc_matrix3x3_is_rotation_fp32(const BgcMatrix3x3FP32* matrix);
extern inline int bgc_matrix3x3_is_rotation_fp64(const BgcMatrix3x3FP64* matrix);
extern inline int bgc_fp32_matrix3x3_is_singular(const BGC_FP32_Matrix3x3* matrix);
extern inline int bgc_fp64_matrix3x3_is_singular(const BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_transpose_fp32(const BgcMatrix3x3FP32* matrix, BgcMatrix3x3FP32* transposed);
extern inline void bgc_matrix3x3_transpose_fp64(const BgcMatrix3x3FP64* matrix, BgcMatrix3x3FP64* transposed);
extern inline int bgc_fp32_matrix3x3_is_rotation(const BGC_FP32_Matrix3x3* matrix);
extern inline int bgc_fp64_matrix3x3_is_rotation(const BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_row1_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_row1_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix);
extern inline int bgc_fp32_matrix3x3_invert(BGC_FP32_Matrix3x3* matrix);
extern inline int bgc_fp64_matrix3x3_invert(BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_row2_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_row2_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_transpose(BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_transpose(BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_row3_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_row3_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_get_transposed(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* transposed);
extern inline void bgc_fp64_matrix3x3_get_transposed(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* transposed);
extern inline void bgc_matrix3x3_set_column1_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_column1_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* row);
extern inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* row);
extern inline void bgc_matrix3x3_set_column2_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_column2_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_set_column3_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix);
extern inline void bgc_matrix3x3_set_column3_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* column);
extern inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* column);
extern inline void bgc_matrix3x3_add_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x3FP32* sum);
extern inline void bgc_matrix3x3_add_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x3FP64* sum);
extern inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_matrix3x3_add_scaled_fp32(const BgcMatrix3x3FP32* basic_matrix, const BgcMatrix3x3FP32* scalable_matrix, const float scale, BgcMatrix3x3FP32* sum);
extern inline void bgc_matrix3x3_add_scaled_fp64(const BgcMatrix3x3FP64* basic_matrix, const BgcMatrix3x3FP64* scalable_matrix, const double scale, BgcMatrix3x3FP64* sum);
extern inline void bgc_fp32_matrix3x3_add(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* sum);
extern inline void bgc_fp64_matrix3x3_add(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* sum);
extern inline void bgc_matrix3x3_subtract_fp32(const BgcMatrix3x3FP32* minuend, const BgcMatrix3x3FP32* subtrahend, BgcMatrix3x3FP32* difference);
extern inline void bgc_matrix3x3_subtract_fp64(const BgcMatrix3x3FP64* minuend, const BgcMatrix3x3FP64* subtrahend, BgcMatrix3x3FP64* difference);
extern inline void bgc_fp32_matrix3x3_add_scaled(const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale, BGC_FP32_Matrix3x3* sum);
extern inline void bgc_fp64_matrix3x3_add_scaled(const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale, BGC_FP64_Matrix3x3* sum);
extern inline void bgc_matrix3x3_subtract_scaled_fp32(const BgcMatrix3x3FP32* basic_matrix, const BgcMatrix3x3FP32* scalable_matrix, const float scale, BgcMatrix3x3FP32* difference);
extern inline void bgc_matrix3x3_subtract_scaled_fp64(const BgcMatrix3x3FP64* basic_matrix, const BgcMatrix3x3FP64* scalable_matrix, const double scale, BgcMatrix3x3FP64* difference);
extern inline void bgc_fp32_matrix3x3_subtract(const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend, BGC_FP32_Matrix3x3* difference);
extern inline void bgc_fp64_matrix3x3_subtract(const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend, BGC_FP64_Matrix3x3* difference);
extern inline void bgc_matrix3x3_multiply_fp32(const BgcMatrix3x3FP32* multiplicand, const float multiplier, BgcMatrix3x3FP32* product);
extern inline void bgc_matrix3x3_multiply_fp64(const BgcMatrix3x3FP64* multiplicand, const double multiplier, BgcMatrix3x3FP64* product);
extern inline void bgc_fp32_matrix3x3_multiply(const BGC_FP32_Matrix3x3* multiplicand, const float multiplier, BGC_FP32_Matrix3x3* product);
extern inline void bgc_fp64_matrix3x3_multiply(const BGC_FP64_Matrix3x3* multiplicand, const double multiplier, BGC_FP64_Matrix3x3* product);
extern inline void bgc_matrix3x3_divide_fp32(const BgcMatrix3x3FP32* dividend, const float divisor, BgcMatrix3x3FP32* quotient);
extern inline void bgc_matrix3x3_divide_fp64(const BgcMatrix3x3FP64* dividend, const double divisor, BgcMatrix3x3FP64* quotient);
extern inline void bgc_fp32_matrix3x3_divide(const BGC_FP32_Matrix3x3* dividend, const float divisor, BGC_FP32_Matrix3x3* quotient);
extern inline void bgc_fp64_matrix3x3_divide(const BGC_FP64_Matrix3x3* dividend, const double divisor, BGC_FP64_Matrix3x3* quotient);
extern inline void bgc_matrix3x3_get_left_product_fp32(const BgcVector3FP32* vector, const BgcMatrix3x3FP32* matrix, BgcVector3FP32* result);
extern inline void bgc_matrix3x3_get_left_product_fp64(const BgcVector3FP64* vector, const BgcMatrix3x3FP64* matrix, BgcVector3FP64* result);
extern inline void bgc_fp32_matrix3x3_interpolate(const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase, BGC_FP32_Matrix3x3* interpolation);
extern inline void bgc_fp64_matrix3x3_interpolate(const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase, BGC_FP64_Matrix3x3* interpolation);
extern inline void bgc_matrix3x3_get_right_product_fp32(const BgcMatrix3x3FP32* matrix, const BgcVector3FP32* vector, BgcVector3FP32* result);
extern inline void bgc_matrix3x3_get_right_product_fp64(const BgcMatrix3x3FP64* matrix, const BgcVector3FP64* vector, BgcVector3FP64* result);
extern inline void bgc_fp32_multiply_vector3_by_matrix3x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_multiply_vector3_by_matrix3x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* result);
// =================== Invert =================== //
extern inline void bgc_fp32_multiply_matrix3x3_by_vector3(const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_multiply_matrix3x3_by_vector3(const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
int bgc_matrix3x3_invert_fp32(const BgcMatrix3x3FP32* matrix, BgcMatrix3x3FP32* inverted)
// ================ Get Inverse ================= //
int bgc_fp32_matrix3x3_get_inverse(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* inverse)
{
const float determinant = bgc_matrix3x3_get_determinant_fp32(matrix);
const float determinant = bgc_fp32_matrix3x3_get_determinant(matrix);
if (bgc_is_zero_fp32(determinant)) {
if (bgc_fp32_is_zero(determinant)) {
return 0;
}
@ -96,26 +99,26 @@ int bgc_matrix3x3_invert_fp32(const BgcMatrix3x3FP32* matrix, BgcMatrix3x3FP32*
const float multiplier = 1.0f / determinant;
inverted->r1c1 = r1c1 * multiplier;
inverted->r1c2 = r1c2 * multiplier;
inverted->r1c3 = r1c3 * multiplier;
inverse->r1c1 = r1c1 * multiplier;
inverse->r1c2 = r1c2 * multiplier;
inverse->r1c3 = r1c3 * multiplier;
inverted->r2c1 = r2c1 * multiplier;
inverted->r2c2 = r2c2 * multiplier;
inverted->r2c3 = r2c3 * multiplier;
inverse->r2c1 = r2c1 * multiplier;
inverse->r2c2 = r2c2 * multiplier;
inverse->r2c3 = r2c3 * multiplier;
inverted->r3c1 = r3c1 * multiplier;
inverted->r3c2 = r3c2 * multiplier;
inverted->r3c3 = r3c3 * multiplier;
inverse->r3c1 = r3c1 * multiplier;
inverse->r3c2 = r3c2 * multiplier;
inverse->r3c3 = r3c3 * multiplier;
return 1;
}
int bgc_matrix3x3_invert_fp64(const BgcMatrix3x3FP64* matrix, BgcMatrix3x3FP64* inverted)
int bgc_fp64_matrix3x3_get_inverse(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* inverse)
{
const double determinant = bgc_matrix3x3_get_determinant_fp64(matrix);
const double determinant = bgc_fp64_matrix3x3_get_determinant(matrix);
if (bgc_is_zero_fp64(determinant)) {
if (bgc_fp64_is_zero(determinant)) {
return 0;
}
@ -133,17 +136,17 @@ int bgc_matrix3x3_invert_fp64(const BgcMatrix3x3FP64* matrix, BgcMatrix3x3FP64*
const double multiplier = 1.0 / determinant;
inverted->r1c1 = r1c1 * multiplier;
inverted->r1c2 = r1c2 * multiplier;
inverted->r1c3 = r1c3 * multiplier;
inverse->r1c1 = r1c1 * multiplier;
inverse->r1c2 = r1c2 * multiplier;
inverse->r1c3 = r1c3 * multiplier;
inverted->r2c1 = r2c1 * multiplier;
inverted->r2c2 = r2c2 * multiplier;
inverted->r2c3 = r2c3 * multiplier;
inverse->r2c1 = r2c1 * multiplier;
inverse->r2c2 = r2c2 * multiplier;
inverse->r2c3 = r2c3 * multiplier;
inverted->r3c1 = r3c1 * multiplier;
inverted->r3c2 = r3c2 * multiplier;
inverted->r3c3 = r3c3 * multiplier;
inverse->r3c1 = r3c1 * multiplier;
inverse->r3c2 = r3c2 * multiplier;
inverse->r3c3 = r3c3 * multiplier;
return 1;
}

View file

@ -6,7 +6,7 @@
// =================== Reset ==================== //
inline void bgc_matrix3x3_reset_fp32(BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_reset(BGC_FP32_Matrix3x3* matrix)
{
matrix->r1c1 = 0.0f;
matrix->r1c2 = 0.0f;
@ -21,7 +21,7 @@ inline void bgc_matrix3x3_reset_fp32(BgcMatrix3x3FP32* matrix)
matrix->r3c3 = 0.0f;
}
inline void bgc_matrix3x3_reset_fp64(BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_reset(BGC_FP64_Matrix3x3* matrix)
{
matrix->r1c1 = 0.0;
matrix->r1c2 = 0.0;
@ -38,7 +38,7 @@ inline void bgc_matrix3x3_reset_fp64(BgcMatrix3x3FP64* matrix)
// ================== Identity ================== //
inline void bgc_matrix3x3_set_to_identity_fp32(BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_make_identity(BGC_FP32_Matrix3x3* matrix)
{
matrix->r1c1 = 1.0f;
matrix->r1c2 = 0.0f;
@ -53,7 +53,7 @@ inline void bgc_matrix3x3_set_to_identity_fp32(BgcMatrix3x3FP32* matrix)
matrix->r3c3 = 1.0f;
}
inline void bgc_matrix3x3_set_to_identity_fp64(BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_make_identity(BGC_FP64_Matrix3x3* matrix)
{
matrix->r1c1 = 1.0;
matrix->r1c2 = 0.0;
@ -70,7 +70,7 @@ inline void bgc_matrix3x3_set_to_identity_fp64(BgcMatrix3x3FP64* matrix)
// ================ Set Diagonal ================ //
inline void bgc_matrix3x3_set_to_diagonal_fp32(const float d1, const float d2, const float d3, BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_make_diagonal(const float d1, const float d2, const float d3, BGC_FP32_Matrix3x3* matrix)
{
matrix->r1c1 = d1;
matrix->r1c2 = 0.0f;
@ -85,7 +85,7 @@ inline void bgc_matrix3x3_set_to_diagonal_fp32(const float d1, const float d2, c
matrix->r3c3 = d2;
}
inline void bgc_matrix3x3_set_to_diagonal_fp64(const double d1, const double d2, const double d3, BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_make_diagonal(const double d1, const double d2, const double d3, BGC_FP64_Matrix3x3* matrix)
{
matrix->r1c1 = d1;
matrix->r1c2 = 0.0;
@ -102,7 +102,7 @@ inline void bgc_matrix3x3_set_to_diagonal_fp64(const double d1, const double d2,
// ==================== Copy ==================== //
inline void bgc_matrix3x3_copy_fp32(const BgcMatrix3x3FP32* source, BgcMatrix3x3FP32* destination)
inline void bgc_fp32_matrix3x3_copy(const BGC_FP32_Matrix3x3* source, BGC_FP32_Matrix3x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -117,7 +117,7 @@ inline void bgc_matrix3x3_copy_fp32(const BgcMatrix3x3FP32* source, BgcMatrix3x3
destination->r3c3 = source->r3c3;
}
inline void bgc_matrix3x3_copy_fp64(const BgcMatrix3x3FP64* source, BgcMatrix3x3FP64* destination)
inline void bgc_fp64_matrix3x3_copy(const BGC_FP64_Matrix3x3* source, BGC_FP64_Matrix3x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -134,7 +134,7 @@ inline void bgc_matrix3x3_copy_fp64(const BgcMatrix3x3FP64* source, BgcMatrix3x3
// ==================== Swap ==================== //
inline void bgc_matrix3x3_swap_fp32(BgcMatrix3x3FP32* matrix1, BgcMatrix3x3FP32* matrix2)
inline void bgc_fp32_matrix3x3_swap(BGC_FP32_Matrix3x3* matrix1, BGC_FP32_Matrix3x3* matrix2)
{
const float r1c1 = matrix2->r1c1;
const float r1c2 = matrix2->r1c2;
@ -173,7 +173,7 @@ inline void bgc_matrix3x3_swap_fp32(BgcMatrix3x3FP32* matrix1, BgcMatrix3x3FP32*
matrix1->r3c3 = r3c3;
}
inline void bgc_matrix3x3_swap_fp64(BgcMatrix3x3FP64* matrix1, BgcMatrix3x3FP64* matrix2)
inline void bgc_fp64_matrix3x3_swap(BGC_FP64_Matrix3x3* matrix1, BGC_FP64_Matrix3x3* matrix2)
{
const double r1c1 = matrix2->r1c1;
const double r1c2 = matrix2->r1c2;
@ -214,7 +214,7 @@ inline void bgc_matrix3x3_swap_fp64(BgcMatrix3x3FP64* matrix1, BgcMatrix3x3FP64*
// ================== Convert =================== //
inline void bgc_matrix3x3_convert_fp64_to_fp32(const BgcMatrix3x3FP64* source, BgcMatrix3x3FP32* destination)
inline void bgc_fp64_matrix3x3_convert_to_fp32(const BGC_FP64_Matrix3x3* source, BGC_FP32_Matrix3x3* destination)
{
destination->r1c1 = (float)source->r1c1;
destination->r1c2 = (float)source->r1c2;
@ -229,7 +229,7 @@ inline void bgc_matrix3x3_convert_fp64_to_fp32(const BgcMatrix3x3FP64* source, B
destination->r3c3 = (float)source->r3c3;
}
inline void bgc_matrix3x3_convert_fp32_to_fp64(const BgcMatrix3x3FP32* source, BgcMatrix3x3FP64* destination)
inline void bgc_fp32_matrix3x3_convert_to_fp64(const BGC_FP32_Matrix3x3* source, BGC_FP64_Matrix3x3* destination)
{
destination->r1c1 = source->r1c1;
destination->r1c2 = source->r1c2;
@ -246,89 +246,141 @@ inline void bgc_matrix3x3_convert_fp32_to_fp64(const BgcMatrix3x3FP32* source, B
// ================ Determinant ================= //
inline float bgc_matrix3x3_get_determinant_fp32(const BgcMatrix3x3FP32* matrix)
inline float bgc_fp32_matrix3x3_get_determinant(const BGC_FP32_Matrix3x3* matrix)
{
return matrix->r1c1 * (matrix->r2c2 * matrix->r3c3 - matrix->r2c3 * matrix->r3c2)
+ matrix->r1c2 * (matrix->r2c3 * matrix->r3c1 - matrix->r2c1 * matrix->r3c3)
+ matrix->r1c3 * (matrix->r2c1 * matrix->r3c2 - matrix->r2c2 * matrix->r3c1);
}
inline double bgc_matrix3x3_get_determinant_fp64(const BgcMatrix3x3FP64* matrix)
inline double bgc_fp64_matrix3x3_get_determinant(const BGC_FP64_Matrix3x3* matrix)
{
return matrix->r1c1 * (matrix->r2c2 * matrix->r3c3 - matrix->r2c3 * matrix->r3c2)
+ matrix->r1c2 * (matrix->r2c3 * matrix->r3c1 - matrix->r2c1 * matrix->r3c3)
+ matrix->r1c3 * (matrix->r2c1 * matrix->r3c2 - matrix->r2c2 * matrix->r3c1);
}
// ================== Singular ================== //
// ================ Is Identity ================= //
inline int bgc_matrix3x3_is_singular_fp32(const BgcMatrix3x3FP32* matrix)
inline int bgc_fp32_matrix3x3_is_identity(const BGC_FP32_Matrix3x3* matrix)
{
return bgc_is_zero_fp32(bgc_matrix3x3_get_determinant_fp32(matrix));
return bgc_fp32_is_unit(matrix->r1c1) && bgc_fp32_is_zero(matrix->r1c2) && bgc_fp32_is_zero(matrix->r1c3)
&& bgc_fp32_is_zero(matrix->r2c1) && bgc_fp32_is_unit(matrix->r2c2) && bgc_fp32_is_zero(matrix->r2c3)
&& bgc_fp32_is_zero(matrix->r3c1) && bgc_fp32_is_zero(matrix->r3c2) && bgc_fp32_is_unit(matrix->r3c3);
}
inline int bgc_matrix3x3_is_singular_fp64(const BgcMatrix3x3FP64* matrix)
inline int bgc_fp64_matrix3x3_is_identity(const BGC_FP64_Matrix3x3* matrix)
{
return bgc_is_zero_fp64(bgc_matrix3x3_get_determinant_fp64(matrix));
return bgc_fp64_is_unit(matrix->r1c1) && bgc_fp64_is_zero(matrix->r1c2) && bgc_fp64_is_zero(matrix->r1c3)
&& bgc_fp64_is_zero(matrix->r2c1) && bgc_fp64_is_unit(matrix->r2c2) && bgc_fp64_is_zero(matrix->r2c3)
&& bgc_fp64_is_zero(matrix->r3c1) && bgc_fp64_is_zero(matrix->r3c2) && bgc_fp64_is_unit(matrix->r3c3);
}
// ================ Is Singular ================= //
inline int bgc_fp32_matrix3x3_is_singular(const BGC_FP32_Matrix3x3* matrix)
{
return bgc_fp32_is_zero(bgc_fp32_matrix3x3_get_determinant(matrix));
}
inline int bgc_fp64_matrix3x3_is_singular(const BGC_FP64_Matrix3x3* matrix)
{
return bgc_fp64_is_zero(bgc_fp64_matrix3x3_get_determinant(matrix));
}
// ================ Is Rotation ================= //
inline int bgc_matrix3x3_is_rotation_fp32(const BgcMatrix3x3FP32* matrix)
inline int bgc_fp32_matrix3x3_is_rotation(const BGC_FP32_Matrix3x3* matrix)
{
if (!bgc_is_unit_fp32(bgc_matrix3x3_get_determinant_fp32(matrix))) {
return 0;
}
BGC_FP32_Matrix3x3 product;
const float product_r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1 + matrix->r1c3 * matrix->r3c1;
const float product_r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2 + matrix->r1c3 * matrix->r3c2;
const float product_r1c3 = matrix->r1c1 * matrix->r1c3 + matrix->r1c2 * matrix->r2c3 + matrix->r1c3 * matrix->r3c3;
product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1 + matrix->r1c3 * matrix->r3c1;
product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2 + matrix->r1c3 * matrix->r3c2;
product.r1c3 = matrix->r1c1 * matrix->r1c3 + matrix->r1c2 * matrix->r2c3 + matrix->r1c3 * matrix->r3c3;
const float product_r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1 + matrix->r2c3 * matrix->r3c1;
const float product_r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2 + matrix->r2c3 * matrix->r3c2;
const float product_r2c3 = matrix->r2c1 * matrix->r1c3 + matrix->r2c2 * matrix->r2c3 + matrix->r2c3 * matrix->r3c3;
product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1 + matrix->r2c3 * matrix->r3c1;
product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2 + matrix->r2c3 * matrix->r3c2;
product.r2c3 = matrix->r2c1 * matrix->r1c3 + matrix->r2c2 * matrix->r2c3 + matrix->r2c3 * matrix->r3c3;
const float product_r3c1 = matrix->r3c1 * matrix->r1c1 + matrix->r3c2 * matrix->r2c1 + matrix->r3c3 * matrix->r3c1;
const float product_r3c2 = matrix->r3c1 * matrix->r1c2 + matrix->r3c2 * matrix->r2c2 + matrix->r3c3 * matrix->r3c2;
const float product_r3c3 = matrix->r3c1 * matrix->r1c3 + matrix->r3c2 * matrix->r2c3 + matrix->r3c3 * matrix->r3c3;
product.r3c1 = matrix->r3c1 * matrix->r1c1 + matrix->r3c2 * matrix->r2c1 + matrix->r3c3 * matrix->r3c1;
product.r3c2 = matrix->r3c1 * matrix->r1c2 + matrix->r3c2 * matrix->r2c2 + matrix->r3c3 * matrix->r3c2;
product.r3c3 = matrix->r3c1 * matrix->r1c3 + matrix->r3c2 * matrix->r2c3 + matrix->r3c3 * matrix->r3c3;
return bgc_is_unit_fp32(product_r1c1) && bgc_is_zero_fp32(product_r1c2) && bgc_is_zero_fp32(product_r1c3)
&& bgc_is_zero_fp32(product_r2c1) && bgc_is_unit_fp32(product_r2c2) && bgc_is_zero_fp32(product_r2c3)
&& bgc_is_zero_fp32(product_r3c1) && bgc_is_zero_fp32(product_r3c2) && bgc_is_unit_fp32(product_r3c3);
return bgc_fp32_matrix3x3_is_identity(&product);
}
inline int bgc_matrix3x3_is_rotation_fp64(const BgcMatrix3x3FP64* matrix)
inline int bgc_fp64_matrix3x3_is_rotation(const BGC_FP64_Matrix3x3* matrix)
{
if (!bgc_is_unit_fp64(bgc_matrix3x3_get_determinant_fp64(matrix))) {
return 0;
}
BGC_FP64_Matrix3x3 product;
const double product_r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1 + matrix->r1c3 * matrix->r3c1;
const double product_r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2 + matrix->r1c3 * matrix->r3c2;
const double product_r1c3 = matrix->r1c1 * matrix->r1c3 + matrix->r1c2 * matrix->r2c3 + matrix->r1c3 * matrix->r3c3;
product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1 + matrix->r1c3 * matrix->r3c1;
product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2 + matrix->r1c3 * matrix->r3c2;
product.r1c3 = matrix->r1c1 * matrix->r1c3 + matrix->r1c2 * matrix->r2c3 + matrix->r1c3 * matrix->r3c3;
const double product_r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1 + matrix->r2c3 * matrix->r3c1;
const double product_r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2 + matrix->r2c3 * matrix->r3c2;
const double product_r2c3 = matrix->r2c1 * matrix->r1c3 + matrix->r2c2 * matrix->r2c3 + matrix->r2c3 * matrix->r3c3;
product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1 + matrix->r2c3 * matrix->r3c1;
product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2 + matrix->r2c3 * matrix->r3c2;
product.r2c3 = matrix->r2c1 * matrix->r1c3 + matrix->r2c2 * matrix->r2c3 + matrix->r2c3 * matrix->r3c3;
const double product_r3c1 = matrix->r3c1 * matrix->r1c1 + matrix->r3c2 * matrix->r2c1 + matrix->r3c3 * matrix->r3c1;
const double product_r3c2 = matrix->r3c1 * matrix->r1c2 + matrix->r3c2 * matrix->r2c2 + matrix->r3c3 * matrix->r3c2;
const double product_r3c3 = matrix->r3c1 * matrix->r1c3 + matrix->r3c2 * matrix->r2c3 + matrix->r3c3 * matrix->r3c3;
product.r3c1 = matrix->r3c1 * matrix->r1c1 + matrix->r3c2 * matrix->r2c1 + matrix->r3c3 * matrix->r3c1;
product.r3c2 = matrix->r3c1 * matrix->r1c2 + matrix->r3c2 * matrix->r2c2 + matrix->r3c3 * matrix->r3c2;
product.r3c3 = matrix->r3c1 * matrix->r1c3 + matrix->r3c2 * matrix->r2c3 + matrix->r3c3 * matrix->r3c3;
return bgc_is_unit_fp64(product_r1c1) && bgc_is_zero_fp64(product_r1c2) && bgc_is_zero_fp64(product_r1c3)
&& bgc_is_zero_fp64(product_r2c1) && bgc_is_unit_fp64(product_r2c2) && bgc_is_zero_fp64(product_r2c3)
&& bgc_is_zero_fp64(product_r3c1) && bgc_is_zero_fp64(product_r3c2) && bgc_is_unit_fp64(product_r3c3);
return bgc_fp64_matrix3x3_is_identity(&product);
}
// ================ Get Inverse ================= //
int bgc_fp32_matrix3x3_get_inverse(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* inverse);
int bgc_fp64_matrix3x3_get_inverse(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* inverse);
// =================== Invert =================== //
int bgc_matrix3x3_invert_fp32(const BgcMatrix3x3FP32* matrix, BgcMatrix3x3FP32* inverted);
inline int bgc_fp32_matrix3x3_invert(BGC_FP32_Matrix3x3* matrix)
{
return bgc_fp32_matrix3x3_get_inverse(matrix, matrix);
}
int bgc_matrix3x3_invert_fp64(const BgcMatrix3x3FP64* matrix, BgcMatrix3x3FP64* inverted);
inline int bgc_fp64_matrix3x3_invert(BGC_FP64_Matrix3x3* matrix)
{
return bgc_fp64_matrix3x3_get_inverse(matrix, matrix);
}
// ================= Transpose ================== //
inline void bgc_matrix3x3_transpose_fp32(const BgcMatrix3x3FP32* matrix, BgcMatrix3x3FP32* transposed)
inline void bgc_fp32_matrix3x3_transpose(BGC_FP32_Matrix3x3* matrix)
{
const float r1c2 = matrix->r1c2;
const float r1c3 = matrix->r1c3;
const float r2c3 = matrix->r2c3;
matrix->r1c2 = matrix->r2c1;
matrix->r1c3 = matrix->r3c1;
matrix->r2c3 = matrix->r3c2;
matrix->r2c1 = r1c2;
matrix->r3c1 = r1c3;
matrix->r3c2 = r2c3;
}
inline void bgc_fp64_matrix3x3_transpose(BGC_FP64_Matrix3x3* matrix)
{
const double r1c2 = matrix->r1c2;
const double r1c3 = matrix->r1c3;
const double r2c3 = matrix->r2c3;
matrix->r1c2 = matrix->r2c1;
matrix->r1c3 = matrix->r3c1;
matrix->r2c3 = matrix->r3c2;
matrix->r2c1 = r1c2;
matrix->r3c1 = r1c3;
matrix->r3c2 = r2c3;
}
// =============== Get Transpose ================ //
inline void bgc_fp32_matrix3x3_get_transposed(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r2c2 = matrix->r2c2;
@ -347,7 +399,7 @@ inline void bgc_matrix3x3_transpose_fp32(const BgcMatrix3x3FP32* matrix, BgcMatr
transposed->r3c2 = r2c3;
}
inline void bgc_matrix3x3_transpose_fp64(const BgcMatrix3x3FP64* matrix, BgcMatrix3x3FP64* transposed)
inline void bgc_fp64_matrix3x3_get_transposed(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* transposed)
{
transposed->r1c1 = matrix->r1c1;
transposed->r2c2 = matrix->r2c2;
@ -366,105 +418,245 @@ inline void bgc_matrix3x3_transpose_fp64(const BgcMatrix3x3FP64* matrix, BgcMatr
transposed->r3c2 = r2c3;
}
// ================= Set Row 1 ================== //
// ================== Get Row -================== //
inline void bgc_matrix3x3_set_row1_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
matrix->r1c3 = c3;
if (number == 1)
{
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
row->x3 = matrix->r1c3;
return;
}
if (number == 2)
{
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
row->x3 = matrix->r2c3;
return;
}
if (number == 3)
{
row->x1 = matrix->r3c1;
row->x2 = matrix->r3c2;
row->x3 = matrix->r3c3;
return;
}
row->x1 = 0.0f;
row->x2 = 0.0f;
row->x3 = 0.0f;
}
inline void bgc_matrix3x3_set_row1_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* row)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
matrix->r1c3 = c3;
if (number == 1)
{
row->x1 = matrix->r1c1;
row->x2 = matrix->r1c2;
row->x3 = matrix->r1c3;
return;
}
if (number == 2)
{
row->x1 = matrix->r2c1;
row->x2 = matrix->r2c2;
row->x3 = matrix->r2c3;
return;
}
if (number == 3)
{
row->x1 = matrix->r3c1;
row->x2 = matrix->r3c2;
row->x3 = matrix->r3c3;
return;
}
row->x1 = 0.0;
row->x2 = 0.0;
row->x3 = 0.0;
}
// ================= Set Row 2 ================== //
// ================== Set Row =================== //
inline void bgc_matrix3x3_set_row2_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x3* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
matrix->r2c3 = c3;
if (number == 1)
{
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
matrix->r1c3 = row->x3;
return;
}
if (number == 2)
{
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
matrix->r2c3 = row->x3;
return;
}
if (number == 3)
{
matrix->r3c1 = row->x1;
matrix->r3c2 = row->x2;
matrix->r3c3 = row->x3;
}
}
inline void bgc_matrix3x3_set_row2_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x3* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
matrix->r2c3 = c3;
if (number == 1)
{
matrix->r1c1 = row->x1;
matrix->r1c2 = row->x2;
matrix->r1c3 = row->x3;
return;
}
if (number == 2)
{
matrix->r2c1 = row->x1;
matrix->r2c2 = row->x2;
matrix->r2c3 = row->x3;
return;
}
if (number == 3)
{
matrix->r3c1 = row->x1;
matrix->r3c2 = row->x2;
matrix->r3c3 = row->x3;
}
}
// ================= Set Row 3 ================== //
// ================= Get Column ================= //
inline void bgc_matrix3x3_set_row3_fp32(const float c1, const float c2, const float c3, BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* column)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
matrix->r3c3 = c3;
if (number == 1)
{
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
column->x3 = matrix->r3c1;
return;
}
if (number == 2)
{
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
column->x3 = matrix->r3c2;
return;
}
if (number == 3)
{
column->x1 = matrix->r1c3;
column->x2 = matrix->r2c3;
column->x3 = matrix->r3c3;
return;
}
column->x1 = 0.0f;
column->x2 = 0.0f;
column->x3 = 0.0f;
}
inline void bgc_matrix3x3_set_row3_fp64(const double c1, const double c2, const double c3, BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* column)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
matrix->r3c3 = c3;
if (number == 1)
{
column->x1 = matrix->r1c1;
column->x2 = matrix->r2c1;
column->x3 = matrix->r3c1;
return;
}
if (number == 2)
{
column->x1 = matrix->r1c2;
column->x2 = matrix->r2c2;
column->x3 = matrix->r3c2;
return;
}
if (number == 3)
{
column->x1 = matrix->r1c3;
column->x2 = matrix->r2c3;
column->x3 = matrix->r3c3;
return;
}
column->x1 = 0.0;
column->x2 = 0.0;
column->x3 = 0.0;
}
// ================ Set Column 1 ================ //
// ================= Set Column ================= //
inline void bgc_matrix3x3_set_column1_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix)
inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix3x3* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
if (number == 1)
{
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
matrix->r3c1 = column->x3;
return;
}
if (number == 2)
{
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
matrix->r3c2 = column->x3;
return;
}
if (number == 3)
{
matrix->r1c3 = column->x1;
matrix->r2c3 = column->x2;
matrix->r3c3 = column->x3;
}
}
inline void bgc_matrix3x3_set_column1_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix)
inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix3x3* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
}
if (number == 1)
{
matrix->r1c1 = column->x1;
matrix->r2c1 = column->x2;
matrix->r3c1 = column->x3;
return;
}
// ================ Set Column 2 ================ //
if (number == 2)
{
matrix->r1c2 = column->x1;
matrix->r2c2 = column->x2;
matrix->r3c2 = column->x3;
return;
}
inline void bgc_matrix3x3_set_column2_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
}
inline void bgc_matrix3x3_set_column2_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
}
// ================ Set Column 3 ================ //
inline void bgc_matrix3x3_set_column3_fp32(const float r1, const float r2, const float r3, BgcMatrix3x3FP32* matrix)
{
matrix->r1c3 = r1;
matrix->r2c3 = r2;
matrix->r3c3 = r3;
}
inline void bgc_matrix3x3_set_column3_fp64(const double r1, const double r2, const double r3, BgcMatrix3x3FP64* matrix)
{
matrix->r1c3 = r1;
matrix->r2c3 = r2;
matrix->r3c3 = r3;
if (number == 3)
{
matrix->r1c3 = column->x1;
matrix->r2c3 = column->x2;
matrix->r3c3 = column->x3;
}
}
// ==================== Add ===================== //
inline void bgc_matrix3x3_add_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x3FP32* sum)
inline void bgc_fp32_matrix3x3_add(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -479,7 +671,7 @@ inline void bgc_matrix3x3_add_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMat
sum->r3c3 = matrix1->r3c3 + matrix2->r3c3;
}
inline void bgc_matrix3x3_add_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x3FP64* sum)
inline void bgc_fp64_matrix3x3_add(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@ -496,7 +688,7 @@ inline void bgc_matrix3x3_add_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMat
// ================= Add scaled ================= //
inline void bgc_matrix3x3_add_scaled_fp32(const BgcMatrix3x3FP32* basic_matrix, const BgcMatrix3x3FP32* scalable_matrix, const float scale, BgcMatrix3x3FP32* sum)
inline void bgc_fp32_matrix3x3_add_scaled(const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale, BGC_FP32_Matrix3x3* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -511,7 +703,7 @@ inline void bgc_matrix3x3_add_scaled_fp32(const BgcMatrix3x3FP32* basic_matrix,
sum->r3c3 = basic_matrix->r3c3 + scalable_matrix->r3c3 * scale;
}
inline void bgc_matrix3x3_add_scaled_fp64(const BgcMatrix3x3FP64* basic_matrix, const BgcMatrix3x3FP64* scalable_matrix, const double scale, BgcMatrix3x3FP64* sum)
inline void bgc_fp64_matrix3x3_add_scaled(const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale, BGC_FP64_Matrix3x3* sum)
{
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@ -528,7 +720,7 @@ inline void bgc_matrix3x3_add_scaled_fp64(const BgcMatrix3x3FP64* basic_matrix,
// ================== Subtract ================== //
inline void bgc_matrix3x3_subtract_fp32(const BgcMatrix3x3FP32* minuend, const BgcMatrix3x3FP32* subtrahend, BgcMatrix3x3FP32* difference)
inline void bgc_fp32_matrix3x3_subtract(const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend, BGC_FP32_Matrix3x3* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -543,7 +735,7 @@ inline void bgc_matrix3x3_subtract_fp32(const BgcMatrix3x3FP32* minuend, const B
difference->r3c3 = minuend->r3c3 - subtrahend->r3c3;
}
inline void bgc_matrix3x3_subtract_fp64(const BgcMatrix3x3FP64* minuend, const BgcMatrix3x3FP64* subtrahend, BgcMatrix3x3FP64* difference)
inline void bgc_fp64_matrix3x3_subtract(const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend, BGC_FP64_Matrix3x3* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@ -558,41 +750,9 @@ inline void bgc_matrix3x3_subtract_fp64(const BgcMatrix3x3FP64* minuend, const B
difference->r3c3 = minuend->r3c3 - subtrahend->r3c3;
}
// ================= Add scaled ================= //
inline void bgc_matrix3x3_subtract_scaled_fp32(const BgcMatrix3x3FP32* basic_matrix, const BgcMatrix3x3FP32* scalable_matrix, const float scale, BgcMatrix3x3FP32* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r1c3 = basic_matrix->r1c3 - scalable_matrix->r1c3 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r2c3 = basic_matrix->r2c3 - scalable_matrix->r2c3 * scale;
difference->r3c1 = basic_matrix->r3c1 - scalable_matrix->r3c1 * scale;
difference->r3c2 = basic_matrix->r3c2 - scalable_matrix->r3c2 * scale;
difference->r3c3 = basic_matrix->r3c3 - scalable_matrix->r3c3 * scale;
}
inline void bgc_matrix3x3_subtract_scaled_fp64(const BgcMatrix3x3FP64* basic_matrix, const BgcMatrix3x3FP64* scalable_matrix, const double scale, BgcMatrix3x3FP64* difference)
{
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
difference->r1c3 = basic_matrix->r1c3 - scalable_matrix->r1c3 * scale;
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
difference->r2c3 = basic_matrix->r2c3 - scalable_matrix->r2c3 * scale;
difference->r3c1 = basic_matrix->r3c1 - scalable_matrix->r3c1 * scale;
difference->r3c2 = basic_matrix->r3c2 - scalable_matrix->r3c2 * scale;
difference->r3c3 = basic_matrix->r3c3 - scalable_matrix->r3c3 * scale;
}
// ================== Multiply ================== //
inline void bgc_matrix3x3_multiply_fp32(const BgcMatrix3x3FP32* multiplicand, const float multiplier, BgcMatrix3x3FP32* product)
inline void bgc_fp32_matrix3x3_multiply(const BGC_FP32_Matrix3x3* multiplicand, const float multiplier, BGC_FP32_Matrix3x3* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -607,7 +767,7 @@ inline void bgc_matrix3x3_multiply_fp32(const BgcMatrix3x3FP32* multiplicand, co
product->r3c3 = multiplicand->r3c3 * multiplier;
}
inline void bgc_matrix3x3_multiply_fp64(const BgcMatrix3x3FP64* multiplicand, const double multiplier, BgcMatrix3x3FP64* product)
inline void bgc_fp64_matrix3x3_multiply(const BGC_FP64_Matrix3x3* multiplicand, const double multiplier, BGC_FP64_Matrix3x3* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
@ -624,19 +784,55 @@ inline void bgc_matrix3x3_multiply_fp64(const BgcMatrix3x3FP64* multiplicand, co
// =================== Divide =================== //
inline void bgc_matrix3x3_divide_fp32(const BgcMatrix3x3FP32* dividend, const float divisor, BgcMatrix3x3FP32* quotient)
inline void bgc_fp32_matrix3x3_divide(const BGC_FP32_Matrix3x3* dividend, const float divisor, BGC_FP32_Matrix3x3* quotient)
{
bgc_matrix3x3_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_matrix3x3_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_matrix3x3_divide_fp64(const BgcMatrix3x3FP64* dividend, const double divisor, BgcMatrix3x3FP64* quotient)
inline void bgc_fp64_matrix3x3_divide(const BGC_FP64_Matrix3x3* dividend, const double divisor, BGC_FP64_Matrix3x3* quotient)
{
bgc_matrix3x3_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_matrix3x3_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Interpolate ================= //
inline void bgc_fp32_matrix3x3_interpolate(const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase, BGC_FP32_Matrix3x3* interpolation)
{
const float counter_phase = 1.0f - phase;
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
interpolation->r1c3 = first->r1c3 * counter_phase + second->r1c3 * phase;
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
interpolation->r2c3 = first->r2c3 * counter_phase + second->r2c3 * phase;
interpolation->r3c1 = first->r3c1 * counter_phase + second->r3c1 * phase;
interpolation->r3c2 = first->r3c2 * counter_phase + second->r3c2 * phase;
interpolation->r3c3 = first->r3c3 * counter_phase + second->r3c3 * phase;
}
inline void bgc_fp64_matrix3x3_interpolate(const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase, BGC_FP64_Matrix3x3* interpolation)
{
const double counter_phase = 1.0 - phase;
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
interpolation->r1c3 = first->r1c3 * counter_phase + second->r1c3 * phase;
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
interpolation->r2c3 = first->r2c3 * counter_phase + second->r2c3 * phase;
interpolation->r3c1 = first->r3c1 * counter_phase + second->r3c1 * phase;
interpolation->r3c2 = first->r3c2 * counter_phase + second->r3c2 * phase;
interpolation->r3c3 = first->r3c3 * counter_phase + second->r3c3 * phase;
}
// ============ Left Vector Product ============= //
inline void bgc_matrix3x3_get_left_product_fp32(const BgcVector3FP32* vector, const BgcMatrix3x3FP32* matrix, BgcVector3FP32* result)
inline void bgc_fp32_multiply_vector3_by_matrix3x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* result)
{
const float x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
const float x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
@ -647,7 +843,7 @@ inline void bgc_matrix3x3_get_left_product_fp32(const BgcVector3FP32* vector, co
result->x3 = x3;
}
inline void bgc_matrix3x3_get_left_product_fp64(const BgcVector3FP64* vector, const BgcMatrix3x3FP64* matrix, BgcVector3FP64* result)
inline void bgc_fp64_multiply_vector3_by_matrix3x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* result)
{
const double x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
const double x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
@ -660,7 +856,7 @@ inline void bgc_matrix3x3_get_left_product_fp64(const BgcVector3FP64* vector, co
// ============ Right Vector Product ============ //
inline void bgc_matrix3x3_get_right_product_fp32(const BgcMatrix3x3FP32* matrix, const BgcVector3FP32* vector, BgcVector3FP32* result)
inline void bgc_fp32_multiply_matrix3x3_by_vector3(const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result)
{
const float x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
const float x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
@ -671,7 +867,7 @@ inline void bgc_matrix3x3_get_right_product_fp32(const BgcMatrix3x3FP32* matrix,
result->x3 = x3;
}
inline void bgc_matrix3x3_get_right_product_fp64(const BgcMatrix3x3FP64* matrix, const BgcVector3FP64* vector, BgcVector3FP64* result)
inline void bgc_fp64_multiply_matrix3x3_by_vector3(const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result)
{
const double x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
const double x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;

View file

@ -1,280 +1,25 @@
#include "matrixes.h"
extern inline void bgc_matrix_product_2x2_at_2x2_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x2FP32* result);
extern inline void bgc_matrix_product_2x2_at_2x2_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x2FP64* result);
extern inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* product);
extern inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* product);
// ========== Matrix Product 2x2 at 3x2 ========= //
extern inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* product);
extern inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* product);
void bgc_matrix_product_2x2_at_3x2_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x2FP32* result)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
extern inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x3* product);
extern inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x3* product);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
extern inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x3* product);
extern inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x3* product);
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
extern inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x2* product);
extern inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x2* product);
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
}
extern inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x2* product);
extern inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x2* product);
void bgc_matrix_product_2x2_at_3x2_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x2FP64* result)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
extern inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* product);
extern inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* product);
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
}
// ========== Matrix Product 2x3 at 2x2 ========= //
void bgc_matrix_product_2x3_at_2x2_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x3FP32* result)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
}
void bgc_matrix_product_2x3_at_2x2_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x3FP64* result)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
}
// ========== Matrix Product 2x3 at 3x2 ========= //
void bgc_matrix_product_2x3_at_3x2_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x3FP32* result)
{
result->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
result->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
result->r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
result->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
result->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
result->r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
result->r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
result->r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
result->r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3;
}
void bgc_matrix_product_2x3_at_3x2_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x3FP64* result)
{
result->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
result->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
result->r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
result->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
result->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
result->r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
result->r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
result->r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
result->r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3;
}
// ========== Matrix Product 3x2 at 2x3 ========= //
void bgc_matrix_product_3x2_at_2x3_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x2FP32* result)
{
result->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
result->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
result->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
result->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
}
void bgc_matrix_product_3x2_at_2x3_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x2FP64* result)
{
result->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
result->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
result->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
result->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
}
// ========== Matrix Product 3x2 at 3x3 ========= //
void bgc_matrix_product_3x2_at_3x3_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x2FP32* result)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
}
void bgc_matrix_product_3x2_at_3x3_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x2FP64* result)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
}
// ========== Matrix Product 3x3 at 2x3 ========= //
void bgc_matrix_product_3x3_at_2x3_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x3FP32* result)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
}
void bgc_matrix_product_3x3_at_2x3_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x3FP64* result)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
}
// ========== Matrix Product 3x3 at 3x3 ========= //
void bgc_matrix_product_3x3_at_3x3_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x3FP32* result)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
const float r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3 + matrix1->r3c3 * matrix2->r3c3;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
result->r3c3 = r3c3;
}
void bgc_matrix_product_3x3_at_3x3_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x3FP64* result)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
const double r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3 + matrix1->r3c3 * matrix2->r3c3;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
result->r1c3 = r1c3;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
result->r2c3 = r2c3;
result->r3c1 = r3c1;
result->r3c2 = r3c2;
result->r3c3 = r3c3;
}
extern inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* product);
extern inline void bgc_fp64_multiply_matrix3x3_by_matrix3x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* product);

View file

@ -6,12 +6,12 @@
typedef struct {
float r1c1, r1c2;
float r2c1, r2c2;
} BgcMatrix2x2FP32;
} BGC_FP32_Matrix2x2;
typedef struct {
double r1c1, r1c2;
double r2c1, r2c2;
} BgcMatrix2x2FP64;
} BGC_FP64_Matrix2x2;
// ================== Matrix2x3 ================= //
@ -19,25 +19,25 @@ typedef struct {
float r1c1, r1c2;
float r2c1, r2c2;
float r3c1, r3c2;
} BgcMatrix2x3FP32;
} BGC_FP32_Matrix2x3;
typedef struct {
double r1c1, r1c2;
double r2c1, r2c2;
double r3c1, r3c2;
} BgcMatrix2x3FP64;
} BGC_FP64_Matrix2x3;
// ================== Matrix3x2 ================= //
typedef struct {
float r1c1, r1c2, r1c3;
float r2c1, r2c2, r2c3;
} BgcMatrix3x2FP32;
} BGC_FP32_Matrix3x2;
typedef struct {
double r1c1, r1c2, r1c3;
double r2c1, r2c2, r2c3;
} BgcMatrix3x2FP64;
} BGC_FP64_Matrix3x2;
// ================== Matrix3x3 ================= //
@ -45,17 +45,17 @@ typedef struct {
float r1c1, r1c2, r1c3;
float r2c1, r2c2, r2c3;
float r3c1, r3c2, r3c3;
} BgcMatrix3x3FP32;
} BGC_FP32_Matrix3x3;
typedef struct {
double r1c1, r1c2, r1c3;
double r2c1, r2c2, r2c3;
double r3c1, r3c2, r3c3;
} BgcMatrix3x3FP64;
} BGC_FP64_Matrix3x3;
// ========== Matrix Product 2x2 at 2x2 ========= //
inline void bgc_matrix_product_2x2_at_2x2_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x2FP32* result)
inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -63,14 +63,14 @@ inline void bgc_matrix_product_2x2_at_2x2_fp32(const BgcMatrix2x2FP32* matrix1,
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
}
inline void bgc_matrix_product_2x2_at_2x2_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x2FP64* result)
inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -78,53 +78,287 @@ inline void bgc_matrix_product_2x2_at_2x2_fp64(const BgcMatrix2x2FP64* matrix1,
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
result->r1c1 = r1c1;
result->r1c2 = r1c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
result->r2c1 = r2c1;
result->r2c2 = r2c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
}
// ========== Matrix Product 2x2 at 3x2 ========= //
void bgc_matrix_product_2x2_at_3x2_fp32(const BgcMatrix2x2FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x2FP32* result);
inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
void bgc_matrix_product_2x2_at_3x2_fp64(const BgcMatrix2x2FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x2FP64* result);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
}
inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
}
// ========== Matrix Product 2x3 at 2x2 ========= //
void bgc_matrix_product_2x3_at_2x2_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix2x2FP32* matrix2, BgcMatrix2x3FP32* result);
inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x3* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
void bgc_matrix_product_2x3_at_2x2_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix2x2FP64* matrix2, BgcMatrix2x3FP64* result);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
}
inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x3* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
}
// ========== Matrix Product 2x3 at 3x2 ========= //
void bgc_matrix_product_2x3_at_3x2_fp32(const BgcMatrix2x3FP32* matrix1, const BgcMatrix3x2FP32* matrix2, BgcMatrix3x3FP32* result);
inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x3* product)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
product->r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
void bgc_matrix_product_2x3_at_3x2_fp64(const BgcMatrix2x3FP64* matrix1, const BgcMatrix3x2FP64* matrix2, BgcMatrix3x3FP64* result);
product->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
product->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
product->r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
product->r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
product->r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
product->r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3;
}
inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x3* product)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
product->r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3;
product->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
product->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;
product->r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3;
product->r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1;
product->r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2;
product->r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3;
}
// ========== Matrix Product 3x2 at 2x3 ========= //
void bgc_matrix_product_3x2_at_2x3_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x2FP32* result);
inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x2* product)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
void bgc_matrix_product_3x2_at_2x3_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x2FP64* result);
product->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
product->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
}
inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x2* product)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
product->r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
product->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
}
// ========== Matrix Product 3x2 at 3x3 ========= //
void bgc_matrix_product_3x2_at_3x3_fp32(const BgcMatrix3x2FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x2FP32* result);
inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x2* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
void bgc_matrix_product_3x2_at_3x3_fp64(const BgcMatrix3x2FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x2FP64* result);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
}
inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x2* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
}
// ========== Matrix Product 3x3 at 2x3 ========= //
void bgc_matrix_product_3x3_at_2x3_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix2x3FP32* matrix2, BgcMatrix2x3FP32* result);
inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
void bgc_matrix_product_3x3_at_2x3_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix2x3FP64* matrix2, BgcMatrix2x3FP64* result);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
}
inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
}
// ========== Matrix Product 3x3 at 3x3 ========= //
void bgc_matrix_product_3x3_at_3x3_fp32(const BgcMatrix3x3FP32* matrix1, const BgcMatrix3x3FP32* matrix2, BgcMatrix3x3FP32* result);
inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* product)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const float r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
void bgc_matrix_product_3x3_at_3x3_fp64(const BgcMatrix3x3FP64* matrix1, const BgcMatrix3x3FP64* matrix2, BgcMatrix3x3FP64* result);
const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const float r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
const float r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const float r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
const float r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3 + matrix1->r3c3 * matrix2->r3c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
product->r3c3 = r3c3;
}
inline void bgc_fp64_multiply_matrix3x3_by_matrix3x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* product)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
const double r1c3 = matrix1->r1c1 * matrix2->r1c3 + matrix1->r1c2 * matrix2->r2c3 + matrix1->r1c3 * matrix2->r3c3;
const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1 + matrix1->r2c3 * matrix2->r3c1;
const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
const double r2c3 = matrix1->r2c1 * matrix2->r1c3 + matrix1->r2c2 * matrix2->r2c3 + matrix1->r2c3 * matrix2->r3c3;
const double r3c1 = matrix1->r3c1 * matrix2->r1c1 + matrix1->r3c2 * matrix2->r2c1 + matrix1->r3c3 * matrix2->r3c1;
const double r3c2 = matrix1->r3c1 * matrix2->r1c2 + matrix1->r3c2 * matrix2->r2c2 + matrix1->r3c3 * matrix2->r3c2;
const double r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3 + matrix1->r3c3 * matrix2->r3c3;
product->r1c1 = r1c1;
product->r1c2 = r1c2;
product->r1c3 = r1c3;
product->r2c1 = r2c1;
product->r2c2 = r2c2;
product->r2c3 = r2c3;
product->r3c1 = r3c1;
product->r3c2 = r3c2;
product->r3c3 = r3c3;
}
#endif // _BGC_MATRIX_TYPES_H_

View file

@ -1,43 +1,49 @@
#include "position2.h"
extern inline void bgc_position2_reset_fp32(BgcPosition2FP32 * node);
extern inline void bgc_position2_reset_fp64(BgcPosition2FP64 * node);
extern inline void bgc_fp32_position2_reset(BGC_FP32_Position2 * node);
extern inline void bgc_fp64_position2_reset(BGC_FP64_Position2 * node);
extern inline void bgc_position2_make_fp32(const BgcCotesNumberFP32 * turn, const BgcVector2FP32 * shift, BgcPosition2FP32 * position);
extern inline void bgc_position2_make_fp64(const BgcCotesNumberFP64 * turn, const BgcVector2FP64 * shift, BgcPosition2FP64 * position);
extern inline void bgc_fp32_position2_make(const BGC_FP32_CotesNumber * turn, const BGC_FP32_Vector2 * shift, BGC_FP32_Position2 * position);
extern inline void bgc_fp64_position2_make(const BGC_FP64_CotesNumber * turn, const BGC_FP64_Vector2 * shift, BGC_FP64_Position2 * position);
extern inline void bgc_position2_copy_fp32(const BgcPosition2FP32 * source, BgcPosition2FP32 * destination);
extern inline void bgc_position2_copy_fp64(const BgcPosition2FP64 * source, BgcPosition2FP64 * destination);
extern inline void bgc_fp32_position2_copy(const BGC_FP32_Position2 * source, BGC_FP32_Position2 * destination);
extern inline void bgc_fp64_position2_copy(const BGC_FP64_Position2 * source, BGC_FP64_Position2 * destination);
extern inline void bgc_position2_convert_fp64_to_fp32(const BgcPosition2FP64 * source, BgcPosition2FP32 * destination);
extern inline void bgc_position2_convert_fp32_to_fp64(const BgcPosition2FP32 * source, BgcPosition2FP64 * destination);
extern inline void bgc_fp32_position2_swap(BGC_FP32_Position2 * first, BGC_FP32_Position2 * second);
extern inline void bgc_fp64_position2_swap(BGC_FP64_Position2 * first, BGC_FP64_Position2 * second);
extern inline void bgc_position2_invert_fp32(BgcPosition2FP32 * position);
extern inline void bgc_position2_invert_fp64(BgcPosition2FP64 * position);
extern inline void bgc_fp64_position2_convert_to_fp32(const BGC_FP64_Position2 * source, BGC_FP32_Position2 * destination);
extern inline void bgc_fp32_position2_convert_to_fp64(const BGC_FP32_Position2 * source, BGC_FP64_Position2 * destination);
extern inline void bgc_position2_get_inverse_fp32(const BgcPosition2FP32 * position, BgcPosition2FP32 * inverted);
extern inline void bgc_position2_get_inverse_fp64(const BgcPosition2FP64 * position, BgcPosition2FP64 * inverted);
extern inline int bgc_fp32_position2_is_idle(const BGC_FP32_Position2 * position);
extern inline int bgc_fp64_position2_is_idle(const BGC_FP64_Position2 * position);
extern inline void bgc_position2_combine_fp32(const BgcPosition2FP32 * first, const BgcPosition2FP32 * second, BgcPosition2FP32 * combination);
extern inline void bgc_position2_combine_fp64(const BgcPosition2FP64 * first, const BgcPosition2FP64 * second, BgcPosition2FP64 * combination);
extern inline void bgc_fp32_position2_invert(BGC_FP32_Position2 * position);
extern inline void bgc_fp64_position2_invert(BGC_FP64_Position2 * position);
extern inline void bgc_position2_exclude_fp32(const BgcPosition2FP32 * base, const BgcPosition2FP32 * excludand, BgcPosition2FP32 * difference);
extern inline void bgc_position2_exclude_fp64(const BgcPosition2FP64 * base, const BgcPosition2FP64 * excludand, BgcPosition2FP64 * difference);
extern inline void bgc_fp32_position2_get_inverse(const BGC_FP32_Position2 * position, BGC_FP32_Position2 * inverted);
extern inline void bgc_fp64_position2_get_inverse(const BGC_FP64_Position2 * position, BGC_FP64_Position2 * inverted);
extern inline void bgc_position2_get_outward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * outward_affine_map);
extern inline void bgc_position2_get_outward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * outward_affine_map);
extern inline void bgc_fp32_position2_combine(const BGC_FP32_Position2 * first, const BGC_FP32_Position2 * second, BGC_FP32_Position2 * combination);
extern inline void bgc_fp64_position2_combine(const BGC_FP64_Position2 * first, const BGC_FP64_Position2 * second, BGC_FP64_Position2 * combination);
extern inline void bgc_position2_get_inward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * inward_affine_map);
extern inline void bgc_position2_get_inward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * inward_affine_map);
extern inline void bgc_fp32_position2_exclude(const BGC_FP32_Position2 * base, const BGC_FP32_Position2 * excludand, BGC_FP32_Position2 * difference);
extern inline void bgc_fp64_position2_exclude(const BGC_FP64_Position2 * base, const BGC_FP64_Position2 * excludand, BGC_FP64_Position2 * difference);
extern inline void bgc_position2_transform_point_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_point, BgcVector2FP32 * outer_point);
extern inline void bgc_position2_transform_point_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_point, BgcVector2FP64 * outer_point);
extern inline void bgc_fp32_position2_get_outward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * outward_affine_map);
extern inline void bgc_fp64_position2_get_outward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * outward_affine_map);
extern inline void bgc_position2_transform_point_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_point, BgcVector2FP32 * inner_point);
extern inline void bgc_position2_transform_point_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_point, BgcVector2FP64 * inner_point);
extern inline void bgc_fp32_position2_get_inward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * inward_affine_map);
extern inline void bgc_fp64_position2_get_inward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * inward_affine_map);
extern inline void bgc_position2_transform_vector_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_vector, BgcVector2FP32 * outer_vector);
extern inline void bgc_position2_transform_vector_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_vector, BgcVector2FP64 * outer_vector);
extern inline void bgc_fp32_position2_transform_point_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_point, BGC_FP32_Vector2 * outer_point);
extern inline void bgc_fp64_position2_transform_point_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_point, BGC_FP64_Vector2 * outer_point);
extern inline void bgc_position2_transform_vector_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_vector, BgcVector2FP32 * inner_vector);
extern inline void bgc_position2_transform_vector_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_vector, BgcVector2FP64 * inner_vector);
extern inline void bgc_fp32_position2_transform_point_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_point, BGC_FP32_Vector2 * inner_point);
extern inline void bgc_fp64_position2_transform_point_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_point, BGC_FP64_Vector2 * inner_point);
extern inline void bgc_fp32_position2_transform_vector_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_vector, BGC_FP32_Vector2 * outer_vector);
extern inline void bgc_fp64_position2_transform_vector_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_vector, BGC_FP64_Vector2 * outer_vector);
extern inline void bgc_fp32_position2_transform_vector_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_vector, BGC_FP32_Vector2 * inner_vector);
extern inline void bgc_fp64_position2_transform_vector_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_vector, BGC_FP64_Vector2 * inner_vector);

View file

@ -8,226 +8,252 @@
// ==================== Types ==================== //
typedef struct {
BgcCotesNumberFP32 turn;
BgcVector2FP32 shift;
} BgcPosition2FP32;
BGC_FP32_CotesNumber turn;
BGC_FP32_Vector2 shift;
} BGC_FP32_Position2;
typedef struct {
BgcCotesNumberFP64 turn;
BgcVector2FP64 shift;
} BgcPosition2FP64;
BGC_FP64_CotesNumber turn;
BGC_FP64_Vector2 shift;
} BGC_FP64_Position2;
// ==================== Reset ==================== //
inline void bgc_position2_reset_fp32(BgcPosition2FP32 * position)
inline void bgc_fp32_position2_reset(BGC_FP32_Position2 * position)
{
bgc_cotes_number_reset_fp32(&position->turn);
bgc_vector2_reset_fp32(&position->shift);
bgc_fp32_cotes_number_reset(&position->turn);
bgc_fp32_vector2_reset(&position->shift);
}
inline void bgc_position2_reset_fp64(BgcPosition2FP64 * position)
inline void bgc_fp64_position2_reset(BGC_FP64_Position2 * position)
{
bgc_cotes_number_reset_fp64(&position->turn);
bgc_vector2_reset_fp64(&position->shift);
bgc_fp64_cotes_number_reset(&position->turn);
bgc_fp64_vector2_reset(&position->shift);
}
// ==================== Make ===================== //
inline void bgc_position2_make_fp32(const BgcCotesNumberFP32 * turn, const BgcVector2FP32 * shift, BgcPosition2FP32 * position)
inline void bgc_fp32_position2_make(const BGC_FP32_CotesNumber * turn, const BGC_FP32_Vector2 * shift, BGC_FP32_Position2 * position)
{
bgc_cotes_number_copy_fp32(turn, &position->turn);
bgc_vector2_copy_fp32(shift, &position->shift);
bgc_fp32_cotes_number_copy(turn, &position->turn);
bgc_fp32_vector2_copy(shift, &position->shift);
}
inline void bgc_position2_make_fp64(const BgcCotesNumberFP64 * turn, const BgcVector2FP64 * shift, BgcPosition2FP64 * position)
inline void bgc_fp64_position2_make(const BGC_FP64_CotesNumber * turn, const BGC_FP64_Vector2 * shift, BGC_FP64_Position2 * position)
{
bgc_cotes_number_copy_fp64(turn, &position->turn);
bgc_vector2_copy_fp64(shift, &position->shift);
bgc_fp64_cotes_number_copy(turn, &position->turn);
bgc_fp64_vector2_copy(shift, &position->shift);
}
// ==================== Copy ===================== //
inline void bgc_position2_copy_fp32(const BgcPosition2FP32 * source, BgcPosition2FP32 * destination)
inline void bgc_fp32_position2_copy(const BGC_FP32_Position2 * source, BGC_FP32_Position2 * destination)
{
bgc_cotes_number_copy_fp32(&source->turn, &destination->turn);
bgc_vector2_copy_fp32(&source->shift, &destination->shift);
bgc_fp32_cotes_number_copy(&source->turn, &destination->turn);
bgc_fp32_vector2_copy(&source->shift, &destination->shift);
}
inline void bgc_position2_copy_fp64(const BgcPosition2FP64 * source, BgcPosition2FP64 * destination)
inline void bgc_fp64_position2_copy(const BGC_FP64_Position2 * source, BGC_FP64_Position2 * destination)
{
bgc_cotes_number_copy_fp64(&source->turn, &destination->turn);
bgc_vector2_copy_fp64(&source->shift, &destination->shift);
bgc_fp64_cotes_number_copy(&source->turn, &destination->turn);
bgc_fp64_vector2_copy(&source->shift, &destination->shift);
}
// ==================== Swap ===================== //
inline void bgc_fp32_position2_swap(BGC_FP32_Position2 * first, BGC_FP32_Position2 * second)
{
bgc_fp32_cotes_number_swap(&first->turn, &second->turn);
bgc_fp32_vector2_swap(&first->shift, &second->shift);
}
inline void bgc_fp64_position2_swap(BGC_FP64_Position2 * first, BGC_FP64_Position2 * second)
{
bgc_fp64_cotes_number_swap(&first->turn, &second->turn);
bgc_fp64_vector2_swap(&first->shift, &second->shift);
}
// =================== Convert =================== //
inline void bgc_position2_convert_fp64_to_fp32(const BgcPosition2FP64 * source, BgcPosition2FP32 * destination)
inline void bgc_fp64_position2_convert_to_fp32(const BGC_FP64_Position2 * source, BGC_FP32_Position2 * destination)
{
bgc_cotes_number_convert_fp64_to_fp32(&source->turn, &destination->turn);
bgc_vector2_convert_fp64_to_fp32(&source->shift, &destination->shift);
bgc_fp64_cotes_number_convert_to_fp32(&source->turn, &destination->turn);
bgc_fp64_vector2_convert_to_fp32(&source->shift, &destination->shift);
}
inline void bgc_position2_convert_fp32_to_fp64(const BgcPosition2FP32 * source, BgcPosition2FP64 * destination)
inline void bgc_fp32_position2_convert_to_fp64(const BGC_FP32_Position2 * source, BGC_FP64_Position2 * destination)
{
bgc_cotes_number_convert_fp32_to_fp64(&source->turn, &destination->turn);
bgc_vector2_convert_fp32_to_fp64(&source->shift, &destination->shift);
bgc_fp32_cotes_number_convert_to_fp64(&source->turn, &destination->turn);
bgc_fp32_vector2_convert_to_fp64(&source->shift, &destination->shift);
}
// =================== Is Idle =================== //
inline int bgc_fp32_position2_is_idle(const BGC_FP32_Position2 * position)
{
return bgc_fp32_vector2_is_zero(&position->shift) && bgc_fp32_cotes_number_is_idle(&position->turn);
}
inline int bgc_fp64_position2_is_idle(const BGC_FP64_Position2 * position)
{
return bgc_fp64_vector2_is_zero(&position->shift) && bgc_fp64_cotes_number_is_idle(&position->turn);
}
// =================== Invert ==================== //
inline void bgc_position2_invert_fp32(BgcPosition2FP32 * position)
inline void bgc_fp32_position2_invert(BGC_FP32_Position2 * position)
{
bgc_cotes_number_turn_vector_back_fp32(&position->turn, &position->shift, &position->shift);
bgc_cotes_number_invert_fp32(&position->turn);
bgc_vector2_make_opposite_fp32(&position->shift);
bgc_fp32_cotes_number_turn_vector_back(&position->turn, &position->shift, &position->shift);
bgc_fp32_cotes_number_revert(&position->turn);
bgc_fp32_vector2_revert(&position->shift);
}
inline void bgc_position2_invert_fp64(BgcPosition2FP64 * position)
inline void bgc_fp64_position2_invert(BGC_FP64_Position2 * position)
{
bgc_cotes_number_turn_vector_back_fp64(&position->turn, &position->shift, &position->shift);
bgc_cotes_number_invert_fp64(&position->turn);
bgc_vector2_make_opposite_fp64(&position->shift);
bgc_fp64_cotes_number_turn_vector_back(&position->turn, &position->shift, &position->shift);
bgc_fp64_cotes_number_revert(&position->turn);
bgc_fp64_vector2_revert(&position->shift);
}
// ================= Get Inverse ================= //
inline void bgc_position2_get_inverse_fp32(const BgcPosition2FP32 * position, BgcPosition2FP32 * inverted)
inline void bgc_fp32_position2_get_inverse(const BGC_FP32_Position2 * position, BGC_FP32_Position2 * inverted)
{
bgc_cotes_number_turn_vector_back_fp32(&position->turn, &position->shift, &inverted->shift);
bgc_cotes_number_get_inverse_fp32(&position->turn, &inverted->turn);
bgc_vector2_make_opposite_fp32(&inverted->shift);
bgc_fp32_cotes_number_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
bgc_fp32_cotes_number_get_reverse(&position->turn, &inverted->turn);
bgc_fp32_vector2_revert(&inverted->shift);
}
inline void bgc_position2_get_inverse_fp64(const BgcPosition2FP64 * position, BgcPosition2FP64 * inverted)
inline void bgc_fp64_position2_get_inverse(const BGC_FP64_Position2 * position, BGC_FP64_Position2 * inverted)
{
bgc_cotes_number_turn_vector_back_fp64(&position->turn, &position->shift, &inverted->shift);
bgc_cotes_number_get_inverse_fp64(&position->turn, &inverted->turn);
bgc_vector2_make_opposite_fp64(&inverted->shift);
bgc_fp64_cotes_number_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
bgc_fp64_cotes_number_get_inverse(&position->turn, &inverted->turn);
bgc_fp64_vector2_revert(&inverted->shift);
}
// =================== Combine =================== //
inline void bgc_position2_combine_fp32(const BgcPosition2FP32 * first, const BgcPosition2FP32 * second, BgcPosition2FP32 * combination)
inline void bgc_fp32_position2_combine(const BGC_FP32_Position2 * first, const BGC_FP32_Position2 * second, BGC_FP32_Position2 * combination)
{
BgcVector2FP32 relative_shift;
bgc_cotes_number_turn_vector_fp32(&second->turn, &first->shift, &relative_shift);
bgc_cotes_number_combine_fp32(&first->turn, &second->turn, &combination->turn);
bgc_vector2_add_fp32(&relative_shift, &second->shift, &combination->shift);
BGC_FP32_Vector2 relative_shift;
bgc_fp32_cotes_number_turn_vector(&second->turn, &first->shift, &relative_shift);
bgc_fp32_cotes_number_combine(&first->turn, &second->turn, &combination->turn);
bgc_fp32_vector2_add(&relative_shift, &second->shift, &combination->shift);
}
inline void bgc_position2_combine_fp64(const BgcPosition2FP64 * first, const BgcPosition2FP64 * second, BgcPosition2FP64 * combination)
inline void bgc_fp64_position2_combine(const BGC_FP64_Position2 * first, const BGC_FP64_Position2 * second, BGC_FP64_Position2 * combination)
{
BgcVector2FP64 relative_shift;
bgc_cotes_number_turn_vector_fp64(&second->turn, &first->shift, &relative_shift);
bgc_cotes_number_combine_fp64(&first->turn, &second->turn, &combination->turn);
bgc_vector2_add_fp64(&relative_shift, &second->shift, &combination->shift);
BGC_FP64_Vector2 relative_shift;
bgc_fp64_cotes_number_turn_vector(&second->turn, &first->shift, &relative_shift);
bgc_fp64_cotes_number_combine(&first->turn, &second->turn, &combination->turn);
bgc_fp64_vector2_add(&relative_shift, &second->shift, &combination->shift);
}
// =================== Exclude =================== //
inline void bgc_position2_exclude_fp32(const BgcPosition2FP32 * base, const BgcPosition2FP32 * excludand, BgcPosition2FP32 * difference)
inline void bgc_fp32_position2_exclude(const BGC_FP32_Position2 * base, const BGC_FP32_Position2 * excludand, BGC_FP32_Position2 * difference)
{
BgcVector2FP32 relative_shift;
bgc_vector2_subtract_fp32(&base->shift, &excludand->shift, &relative_shift);
bgc_cotes_number_turn_vector_back_fp32(&excludand->turn, &relative_shift, &difference->shift);
bgc_cotes_number_exclude_fp32(&base->turn, &excludand->turn, &difference->turn);
BGC_FP32_Vector2 relative_shift;
bgc_fp32_vector2_subtract(&base->shift, &excludand->shift, &relative_shift);
bgc_fp32_cotes_number_turn_vector_back(&excludand->turn, &relative_shift, &difference->shift);
bgc_fp32_cotes_number_exclude(&base->turn, &excludand->turn, &difference->turn);
}
inline void bgc_position2_exclude_fp64(const BgcPosition2FP64 * base, const BgcPosition2FP64 * excludand, BgcPosition2FP64 * difference)
inline void bgc_fp64_position2_exclude(const BGC_FP64_Position2 * base, const BGC_FP64_Position2 * excludand, BGC_FP64_Position2 * difference)
{
BgcVector2FP64 relative_shift;
bgc_vector2_subtract_fp64(&base->shift, &excludand->shift, &relative_shift);
bgc_cotes_number_turn_vector_back_fp64(&excludand->turn, &relative_shift, &difference->shift);
bgc_cotes_number_exclude_fp64(&base->turn, &excludand->turn, &difference->turn);
BGC_FP64_Vector2 relative_shift;
bgc_fp64_vector2_subtract(&base->shift, &excludand->shift, &relative_shift);
bgc_fp64_cotes_number_turn_vector_back(&excludand->turn, &relative_shift, &difference->shift);
bgc_fp64_cotes_number_exclude(&base->turn, &excludand->turn, &difference->turn);
}
// ============= Get Outward Affine ============== //
inline void bgc_position2_get_outward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * outward_affine_map)
inline void bgc_fp32_position2_get_outward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * outward_affine_map)
{
bgc_cotes_number_get_rotation_matrix_fp32(&position->turn, &outward_affine_map->distortion);
bgc_vector2_copy_fp32(&position->shift, &outward_affine_map->shift);
bgc_fp32_cotes_number_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
bgc_fp32_vector2_copy(&position->shift, &outward_affine_map->shift);
}
inline void bgc_position2_get_outward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * outward_affine_map)
inline void bgc_fp64_position2_get_outward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * outward_affine_map)
{
bgc_cotes_number_get_rotation_matrix_fp64(&position->turn, &outward_affine_map->distortion);
bgc_vector2_copy_fp64(&position->shift, &outward_affine_map->shift);
bgc_fp64_cotes_number_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
bgc_fp64_vector2_copy(&position->shift, &outward_affine_map->shift);
}
// ============== Get Inward Affine ============== //
inline void bgc_position2_get_inward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * inward_affine_map)
inline void bgc_fp32_position2_get_inward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * inward_affine_map)
{
bgc_cotes_number_get_reverse_matrix_fp32(&position->turn, &inward_affine_map->distortion);
bgc_matrix2x2_get_right_product_fp32(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_vector2_make_opposite_fp32(&inward_affine_map->shift);
bgc_fp32_cotes_number_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
bgc_fp32_multiply_matrix2x2_by_vector2(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_fp32_vector2_revert(&inward_affine_map->shift);
}
inline void bgc_position2_get_inward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * inward_affine_map)
inline void bgc_fp64_position2_get_inward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * inward_affine_map)
{
bgc_cotes_number_get_reverse_matrix_fp64(&position->turn, &inward_affine_map->distortion);
bgc_matrix2x2_get_right_product_fp64(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_vector2_make_opposite_fp64(&inward_affine_map->shift);
bgc_fp64_cotes_number_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
bgc_fp64_multiply_matrix2x2_by_vector2(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_fp64_vector2_revert(&inward_affine_map->shift);
}
// ========== Transform Point Outwards =========== //
inline void bgc_position2_transform_point_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_point, BgcVector2FP32 * outer_point)
inline void bgc_fp32_position2_transform_point_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_point, BGC_FP32_Vector2 * outer_point)
{
BgcVector2FP32 turned_point;
bgc_cotes_number_turn_vector_fp32(&position->turn, inner_point, &turned_point);
bgc_vector2_add_fp32(&position->shift, &turned_point, outer_point);
BGC_FP32_Vector2 turned_point;
bgc_fp32_cotes_number_turn_vector(&position->turn, inner_point, &turned_point);
bgc_fp32_vector2_add(&position->shift, &turned_point, outer_point);
}
inline void bgc_position2_transform_point_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_point, BgcVector2FP64 * outer_point)
inline void bgc_fp64_position2_transform_point_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_point, BGC_FP64_Vector2 * outer_point)
{
BgcVector2FP64 turned_point;
bgc_cotes_number_turn_vector_fp64(&position->turn, inner_point, &turned_point);
bgc_vector2_add_fp64(&position->shift, &turned_point, outer_point);
BGC_FP64_Vector2 turned_point;
bgc_fp64_cotes_number_turn_vector(&position->turn, inner_point, &turned_point);
bgc_fp64_vector2_add(&position->shift, &turned_point, outer_point);
}
// =========== Transform Point Inwards =========== //
inline void bgc_position2_transform_point_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_point, BgcVector2FP32 * inner_point)
inline void bgc_fp32_position2_transform_point_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_point, BGC_FP32_Vector2 * inner_point)
{
BgcVector2FP32 relative_point;
bgc_vector2_subtract_fp32(outer_point, &position->shift, &relative_point);
bgc_cotes_number_turn_vector_back_fp32(&position->turn, &relative_point, inner_point);
BGC_FP32_Vector2 relative_point;
bgc_fp32_vector2_subtract(outer_point, &position->shift, &relative_point);
bgc_fp32_cotes_number_turn_vector_back(&position->turn, &relative_point, inner_point);
}
inline void bgc_position2_transform_point_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_point, BgcVector2FP64 * inner_point)
inline void bgc_fp64_position2_transform_point_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_point, BGC_FP64_Vector2 * inner_point)
{
BgcVector2FP64 relative_point;
bgc_vector2_subtract_fp64(outer_point, &position->shift, &relative_point);
bgc_cotes_number_turn_vector_back_fp64(&position->turn, &relative_point, inner_point);
BGC_FP64_Vector2 relative_point;
bgc_fp64_vector2_subtract(outer_point, &position->shift, &relative_point);
bgc_fp64_cotes_number_turn_vector_back(&position->turn, &relative_point, inner_point);
}
// ========== Transform Vector Outwards ========== //
inline void bgc_position2_transform_vector_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_vector, BgcVector2FP32 * outer_vector)
inline void bgc_fp32_position2_transform_vector_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_vector, BGC_FP32_Vector2 * outer_vector)
{
bgc_cotes_number_turn_vector_fp32(&position->turn, inner_vector, outer_vector);
bgc_fp32_cotes_number_turn_vector(&position->turn, inner_vector, outer_vector);
}
inline void bgc_position2_transform_vector_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_vector, BgcVector2FP64 * outer_vector)
inline void bgc_fp64_position2_transform_vector_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_vector, BGC_FP64_Vector2 * outer_vector)
{
bgc_cotes_number_turn_vector_fp64(&position->turn, inner_vector, outer_vector);
bgc_fp64_cotes_number_turn_vector(&position->turn, inner_vector, outer_vector);
}
// ========== Transform Vector Inwards =========== //
inline void bgc_position2_transform_vector_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_vector, BgcVector2FP32 * inner_vector)
inline void bgc_fp32_position2_transform_vector_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_vector, BGC_FP32_Vector2 * inner_vector)
{
bgc_cotes_number_turn_vector_back_fp32(&position->turn, outer_vector, inner_vector);
bgc_fp32_cotes_number_turn_vector_back(&position->turn, outer_vector, inner_vector);
}
inline void bgc_position2_transform_vector_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_vector, BgcVector2FP64 * inner_vector)
inline void bgc_fp64_position2_transform_vector_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_vector, BGC_FP64_Vector2 * inner_vector)
{
bgc_cotes_number_turn_vector_back_fp64(&position->turn, outer_vector, inner_vector);
bgc_fp64_cotes_number_turn_vector_back(&position->turn, outer_vector, inner_vector);
}
#endif

View file

@ -1,43 +1,49 @@
#include "position3.h"
extern inline void bgc_position3_reset_fp32(BgcPosition3FP32 * node);
extern inline void bgc_position3_reset_fp64(BgcPosition3FP64 * node);
extern inline void bgc_fp32_position3_reset(BGC_FP32_Position3 * node);
extern inline void bgc_fp64_position3_reset(BGC_FP64_Position3 * node);
extern inline void bgc_position3_make_fp32(const BgcVersorFP32 * turn, const BgcVector3FP32 * shift, BgcPosition3FP32 * position);
extern inline void bgc_position3_make_fp64(const BgcVersorFP64 * turn, const BgcVector3FP64 * shift, BgcPosition3FP64 * position);
extern inline void bgc_fp32_position3_make(const BGC_FP32_Versor * turn, const BGC_FP32_Vector3 * shift, BGC_FP32_Position3 * position);
extern inline void bgc_fp64_position3_make(const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift, BGC_FP64_Position3 * position);
extern inline void bgc_position3_copy_fp32(const BgcPosition3FP32 * source, BgcPosition3FP32 * destination);
extern inline void bgc_position3_copy_fp64(const BgcPosition3FP64 * source, BgcPosition3FP64 * destination);
extern inline void bgc_fp32_position3_copy(const BGC_FP32_Position3 * source, BGC_FP32_Position3 * destination);
extern inline void bgc_fp64_position3_copy(const BGC_FP64_Position3 * source, BGC_FP64_Position3 * destination);
extern inline void bgc_position3_convert_fp64_to_fp32(const BgcPosition3FP64 * source, BgcPosition3FP32 * destination);
extern inline void bgc_position3_convert_fp32_to_fp64(const BgcPosition3FP32 * source, BgcPosition3FP64 * destination);
extern inline void bgc_fp32_position3_swap(BGC_FP32_Position3 * first, BGC_FP32_Position3 * second);
extern inline void bgc_fp64_position3_swap(BGC_FP64_Position3 * first, BGC_FP64_Position3 * second);
extern inline void bgc_position3_invert_fp32(BgcPosition3FP32 * position);
extern inline void bgc_position3_invert_fp64(BgcPosition3FP64 * position);
extern inline void bgc_fp64_position3_convert_to_fp32(const BGC_FP64_Position3 * source, BGC_FP32_Position3 * destination);
extern inline void bgc_fp32_position3_convert_to_fp64(const BGC_FP32_Position3 * source, BGC_FP64_Position3 * destination);
extern inline void bgc_position3_get_inverse_fp32(const BgcPosition3FP32 * position, BgcPosition3FP32 * inverted);
extern inline void bgc_position3_get_inverse_fp64(const BgcPosition3FP64 * position, BgcPosition3FP64 * inverted);
extern inline int bgc_fp32_position3_is_idle(const BGC_FP32_Position3 * position);
extern inline int bgc_fp64_position3_is_idle(const BGC_FP64_Position3 * position);
extern inline void bgc_position3_combine_fp32(const BgcPosition3FP32 * first, const BgcPosition3FP32 * second, BgcPosition3FP32 * combination);
extern inline void bgc_position3_combine_fp64(const BgcPosition3FP64 * first, const BgcPosition3FP64 * second, BgcPosition3FP64 * combination);
extern inline void bgc_fp32_position3_invert(BGC_FP32_Position3 * position);
extern inline void bgc_fp64_position3_invert(BGC_FP64_Position3 * position);
extern inline void bgc_position3_exclude_fp32(const BgcPosition3FP32 * base, const BgcPosition3FP32 * excludant, BgcPosition3FP32 * difference);
extern inline void bgc_position3_exclude_fp64(const BgcPosition3FP64 * base, const BgcPosition3FP64 * excludant, BgcPosition3FP64 * difference);
extern inline void bgc_fp32_position3_get_inverse(const BGC_FP32_Position3 * position, BGC_FP32_Position3 * inverted);
extern inline void bgc_fp64_position3_get_inverse(const BGC_FP64_Position3 * position, BGC_FP64_Position3 * inverted);
extern inline void bgc_position3_get_outward_affine_fp32(const BgcPosition3FP32 * position, BgcAffine3FP32 * outward_affine_map);
extern inline void bgc_position3_get_outward_affine_fp64(const BgcPosition3FP64 * position, BgcAffine3FP64 * outward_affine_map);
extern inline void bgc_fp32_position3_combine(const BGC_FP32_Position3 * first, const BGC_FP32_Position3 * second, BGC_FP32_Position3 * combination);
extern inline void bgc_fp64_position3_combine(const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second, BGC_FP64_Position3 * combination);
extern inline void bgc_position3_get_inward_affine_fp32(const BgcPosition3FP32 * position, BgcAffine3FP32 * inward_affine_map);
extern inline void bgc_position3_get_inward_affine_fp64(const BgcPosition3FP64 * position, BgcAffine3FP64 * inward_affine_map);
extern inline void bgc_fp32_position3_exclude(const BGC_FP32_Position3 * base, const BGC_FP32_Position3 * excludant, BGC_FP32_Position3 * difference);
extern inline void bgc_fp64_position3_exclude(const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant, BGC_FP64_Position3 * difference);
extern inline void bgc_position3_transform_point_outwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * inner_point, BgcVector3FP32 * outer_point);
extern inline void bgc_position3_transform_point_outwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * inner_point, BgcVector3FP64 * outer_point);
extern inline void bgc_fp32_position3_get_outward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * outward_affine_map);
extern inline void bgc_fp64_position3_get_outward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * outward_affine_map);
extern inline void bgc_position3_transform_point_inwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * outer_point, BgcVector3FP32 * inner_point);
extern inline void bgc_position3_transform_point_inwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * outer_point, BgcVector3FP64 * inner_point);
extern inline void bgc_fp32_position3_get_inward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * inward_affine_map);
extern inline void bgc_fp64_position3_get_inward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * inward_affine_map);
extern inline void bgc_position3_transform_vector_outwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * inner_vector, BgcVector3FP32 * outer_vector);
extern inline void bgc_position3_transform_vector_outwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * inner_vector, BgcVector3FP64 * outer_vector);
extern inline void bgc_fp32_position3_transform_point_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_point, BGC_FP32_Vector3 * outer_point);
extern inline void bgc_fp64_position3_transform_point_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point, BGC_FP64_Vector3 * outer_point);
extern inline void bgc_position3_transform_vector_inwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * outer_vector, BgcVector3FP32 * inner_vector);
extern inline void bgc_position3_transform_vector_inwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * outer_vector, BgcVector3FP64 * inner_vector);
extern inline void bgc_fp32_position3_transform_point_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_point, BGC_FP32_Vector3 * inner_point);
extern inline void bgc_fp64_position3_transform_point_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point, BGC_FP64_Vector3 * inner_point);
extern inline void bgc_fp32_position3_transform_vector_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_vector, BGC_FP32_Vector3 * outer_vector);
extern inline void bgc_fp64_position3_transform_vector_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector, BGC_FP64_Vector3 * outer_vector);
extern inline void bgc_fp32_position3_transform_vector_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_vector, BGC_FP32_Vector3 * inner_vector);
extern inline void bgc_fp64_position3_transform_vector_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector, BGC_FP64_Vector3 * inner_vector);

View file

@ -8,225 +8,251 @@
// ==================== Types ==================== //
typedef struct {
BgcVersorFP32 turn;
BgcVector3FP32 shift;
} BgcPosition3FP32;
BGC_FP32_Versor turn;
BGC_FP32_Vector3 shift;
} BGC_FP32_Position3;
typedef struct {
BgcVersorFP64 turn;
BgcVector3FP64 shift;
} BgcPosition3FP64;
BGC_FP64_Versor turn;
BGC_FP64_Vector3 shift;
} BGC_FP64_Position3;
// ==================== Reset ==================== //
inline void bgc_position3_reset_fp32(BgcPosition3FP32 * position)
inline void bgc_fp32_position3_reset(BGC_FP32_Position3 * position)
{
bgc_versor_reset_fp32(&position->turn);
bgc_vector3_reset_fp32(&position->shift);
bgc_fp32_versor_reset(&position->turn);
bgc_fp32_vector3_reset(&position->shift);
}
inline void bgc_position3_reset_fp64(BgcPosition3FP64 * position)
inline void bgc_fp64_position3_reset(BGC_FP64_Position3 * position)
{
bgc_versor_reset_fp64(&position->turn);
bgc_vector3_reset_fp64(&position->shift);
bgc_fp64_versor_reset(&position->turn);
bgc_fp64_vector3_reset(&position->shift);
}
// ==================== Make ===================== //
inline void bgc_position3_make_fp32(const BgcVersorFP32 * turn, const BgcVector3FP32 * shift, BgcPosition3FP32 * position)
inline void bgc_fp32_position3_make(const BGC_FP32_Versor * turn, const BGC_FP32_Vector3 * shift, BGC_FP32_Position3 * position)
{
bgc_versor_copy_fp32(turn, &position->turn);
bgc_vector3_copy_fp32(shift, &position->shift);
bgc_fp32_versor_copy(turn, &position->turn);
bgc_fp32_vector3_copy(shift, &position->shift);
}
inline void bgc_position3_make_fp64(const BgcVersorFP64 * turn, const BgcVector3FP64 * shift, BgcPosition3FP64 * position)
inline void bgc_fp64_position3_make(const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift, BGC_FP64_Position3 * position)
{
bgc_versor_copy_fp64(turn, &position->turn);
bgc_vector3_copy_fp64(shift, &position->shift);
bgc_fp64_versor_copy(turn, &position->turn);
bgc_fp64_vector3_copy(shift, &position->shift);
}
// ==================== Copy ===================== //
inline void bgc_position3_copy_fp32(const BgcPosition3FP32 * source, BgcPosition3FP32 * destination)
inline void bgc_fp32_position3_copy(const BGC_FP32_Position3 * source, BGC_FP32_Position3 * destination)
{
bgc_versor_copy_fp32(&source->turn, &destination->turn);
bgc_vector3_copy_fp32(&source->shift, &destination->shift);
bgc_fp32_versor_copy(&source->turn, &destination->turn);
bgc_fp32_vector3_copy(&source->shift, &destination->shift);
}
inline void bgc_position3_copy_fp64(const BgcPosition3FP64 * source, BgcPosition3FP64 * destination)
inline void bgc_fp64_position3_copy(const BGC_FP64_Position3 * source, BGC_FP64_Position3 * destination)
{
bgc_versor_copy_fp64(&source->turn, &destination->turn);
bgc_vector3_copy_fp64(&source->shift, &destination->shift);
bgc_fp64_versor_copy(&source->turn, &destination->turn);
bgc_fp64_vector3_copy(&source->shift, &destination->shift);
}
// ==================== Swap ===================== //
inline void bgc_fp32_position3_swap(BGC_FP32_Position3 * first, BGC_FP32_Position3 * second)
{
bgc_fp32_versor_swap(&first->turn, &second->turn);
bgc_fp32_vector3_swap(&first->shift, &second->shift);
}
inline void bgc_fp64_position3_swap(BGC_FP64_Position3 * first, BGC_FP64_Position3 * second)
{
bgc_fp64_versor_swap(&first->turn, &second->turn);
bgc_fp64_vector3_swap(&first->shift, &second->shift);
}
// =================== Convert =================== //
inline void bgc_position3_convert_fp64_to_fp32(const BgcPosition3FP64 * source, BgcPosition3FP32 * destination)
inline void bgc_fp64_position3_convert_to_fp32(const BGC_FP64_Position3 * source, BGC_FP32_Position3 * destination)
{
bgc_versor_convert_fp64_to_fp32(&source->turn, &destination->turn);
bgc_vector3_convert_fp64_to_fp32(&source->shift, &destination->shift);
bgc_fp64_versor_convert_to_fp32(&source->turn, &destination->turn);
bgc_fp64_vector3_convert_to_fp32(&source->shift, &destination->shift);
}
inline void bgc_position3_convert_fp32_to_fp64(const BgcPosition3FP32 * source, BgcPosition3FP64 * destination)
inline void bgc_fp32_position3_convert_to_fp64(const BGC_FP32_Position3 * source, BGC_FP64_Position3 * destination)
{
bgc_versor_convert_fp32_to_fp64(&source->turn, &destination->turn);
bgc_vector3_convert_fp32_to_fp64(&source->shift, &destination->shift);
bgc_fp32_versor_convert_to_fp64(&source->turn, &destination->turn);
bgc_fp32_vector3_convert_to_fp64(&source->shift, &destination->shift);
}
// =================== Is Idle =================== //
inline int bgc_fp32_position3_is_idle(const BGC_FP32_Position3 * position)
{
return bgc_fp32_vector3_is_zero(&position->shift) && bgc_fp32_versor_is_idle(&position->turn);
}
inline int bgc_fp64_position3_is_idle(const BGC_FP64_Position3 * position)
{
return bgc_fp64_vector3_is_zero(&position->shift) && bgc_fp64_versor_is_idle(&position->turn);
}
// =================== Invert ==================== //
inline void bgc_position3_invert_fp32(BgcPosition3FP32 * position)
inline void bgc_fp32_position3_invert(BGC_FP32_Position3 * position)
{
bgc_versor_turn_vector_back_fp32(&position->turn, &position->shift, &position->shift);
bgc_versor_invert_fp32(&position->turn);
bgc_vector3_make_opposite_fp32(&position->shift);
bgc_fp32_versor_turn_vector_back(&position->turn, &position->shift, &position->shift);
bgc_fp32_versor_revert(&position->turn);
bgc_fp32_vector3_revert(&position->shift);
}
inline void bgc_position3_invert_fp64(BgcPosition3FP64 * position)
inline void bgc_fp64_position3_invert(BGC_FP64_Position3 * position)
{
bgc_versor_turn_vector_back_fp64(&position->turn, &position->shift, &position->shift);
bgc_versor_invert_fp64(&position->turn);
bgc_vector3_make_opposite_fp64(&position->shift);
bgc_fp64_versor_turn_vector_back(&position->turn, &position->shift, &position->shift);
bgc_fp64_versor_revert(&position->turn);
bgc_fp64_vector3_revert(&position->shift);
}
// ================= Get Inverse ================= //
inline void bgc_position3_get_inverse_fp32(const BgcPosition3FP32 * position, BgcPosition3FP32 * inverted)
inline void bgc_fp32_position3_get_inverse(const BGC_FP32_Position3 * position, BGC_FP32_Position3 * inverted)
{
bgc_versor_turn_vector_back_fp32(&position->turn, &position->shift, &inverted->shift);
bgc_versor_get_inverse_fp32(&position->turn, &inverted->turn);
bgc_vector3_make_opposite_fp32(&inverted->shift);
bgc_fp32_versor_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
bgc_fp32_versor_get_reverse(&position->turn, &inverted->turn);
bgc_fp32_vector3_revert(&inverted->shift);
}
inline void bgc_position3_get_inverse_fp64(const BgcPosition3FP64 * position, BgcPosition3FP64 * inverted)
inline void bgc_fp64_position3_get_inverse(const BGC_FP64_Position3 * position, BGC_FP64_Position3 * inverted)
{
bgc_versor_turn_vector_back_fp64(&position->turn, &position->shift, &inverted->shift);
bgc_versor_get_inverse_fp64(&position->turn, &inverted->turn);
bgc_vector3_make_opposite_fp64(&inverted->shift);
bgc_fp64_versor_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
bgc_fp64_versor_get_reverse(&position->turn, &inverted->turn);
bgc_fp64_vector3_revert(&inverted->shift);
}
// =================== Combine =================== //
inline void bgc_position3_combine_fp32(const BgcPosition3FP32 * first, const BgcPosition3FP32 * second, BgcPosition3FP32 * combination)
inline void bgc_fp32_position3_combine(const BGC_FP32_Position3 * first, const BGC_FP32_Position3 * second, BGC_FP32_Position3 * combination)
{
BgcVector3FP32 relative_shift;
bgc_versor_turn_vector_fp32(&second->turn, &first->shift, &relative_shift);
bgc_versor_combine_fp32(&first->turn, &second->turn, &combination->turn);
bgc_vector3_add_fp32(&relative_shift, &second->shift, &combination->shift);
BGC_FP32_Vector3 relative_shift;
bgc_fp32_versor_turn_vector(&second->turn, &first->shift, &relative_shift);
bgc_fp32_versor_combine(&first->turn, &second->turn, &combination->turn);
bgc_fp32_vector3_add(&relative_shift, &second->shift, &combination->shift);
}
inline void bgc_position3_combine_fp64(const BgcPosition3FP64 * first, const BgcPosition3FP64 * second, BgcPosition3FP64 * combination)
inline void bgc_fp64_position3_combine(const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second, BGC_FP64_Position3 * combination)
{
BgcVector3FP64 relative_shift;
bgc_versor_turn_vector_fp64(&second->turn, &first->shift, &relative_shift);
bgc_versor_combine_fp64(&first->turn, &second->turn, &combination->turn);
bgc_vector3_add_fp64(&relative_shift, &second->shift, &combination->shift);
BGC_FP64_Vector3 relative_shift;
bgc_fp64_versor_turn_vector(&second->turn, &first->shift, &relative_shift);
bgc_fp64_versor_combine(&first->turn, &second->turn, &combination->turn);
bgc_fp64_vector3_add(&relative_shift, &second->shift, &combination->shift);
}
// =================== Exclude =================== //
inline void bgc_position3_exclude_fp32(const BgcPosition3FP32 * base, const BgcPosition3FP32 * excludant, BgcPosition3FP32 * difference)
inline void bgc_fp32_position3_exclude(const BGC_FP32_Position3 * base, const BGC_FP32_Position3 * excludant, BGC_FP32_Position3 * difference)
{
BgcVector3FP32 relative_shift;
bgc_vector3_subtract_fp32(&base->shift, &excludant->shift, &relative_shift);
bgc_versor_turn_vector_back_fp32(&excludant->turn, &relative_shift, &difference->shift);
bgc_versor_exclude_fp32(&base->turn, &excludant->turn, &difference->turn);
BGC_FP32_Vector3 relative_shift;
bgc_fp32_vector3_subtract(&base->shift, &excludant->shift, &relative_shift);
bgc_fp32_versor_turn_vector_back(&excludant->turn, &relative_shift, &difference->shift);
bgc_fp32_versor_exclude(&base->turn, &excludant->turn, &difference->turn);
}
inline void bgc_position3_exclude_fp64(const BgcPosition3FP64 * base, const BgcPosition3FP64 * excludant, BgcPosition3FP64 * difference)
inline void bgc_fp64_position3_exclude(const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant, BGC_FP64_Position3 * difference)
{
BgcVector3FP64 relative_shift;
bgc_vector3_subtract_fp64(&base->shift, &excludant->shift, &relative_shift);
bgc_versor_turn_vector_back_fp64(&excludant->turn, &relative_shift, &difference->shift);
bgc_versor_exclude_fp64(&base->turn, &excludant->turn, &difference->turn);
BGC_FP64_Vector3 relative_shift;
bgc_fp64_vector3_subtract(&base->shift, &excludant->shift, &relative_shift);
bgc_fp64_versor_turn_vector_back(&excludant->turn, &relative_shift, &difference->shift);
bgc_fp64_versor_exclude(&base->turn, &excludant->turn, &difference->turn);
}
// ============= Get Outward Affine ============== //
inline void bgc_position3_get_outward_affine_fp32(const BgcPosition3FP32 * position, BgcAffine3FP32 * outward_affine_map)
inline void bgc_fp32_position3_get_outward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * outward_affine_map)
{
bgc_versor_get_rotation_matrix_fp32(&position->turn, &outward_affine_map->distortion);
bgc_vector3_copy_fp32(&position->shift, &outward_affine_map->shift);
bgc_fp32_versor_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
bgc_fp32_vector3_copy(&position->shift, &outward_affine_map->shift);
}
inline void bgc_position3_get_outward_affine_fp64(const BgcPosition3FP64 * position, BgcAffine3FP64 * outward_affine_map)
inline void bgc_fp64_position3_get_outward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * outward_affine_map)
{
bgc_versor_get_rotation_matrix_fp64(&position->turn, &outward_affine_map->distortion);
bgc_vector3_copy_fp64(&position->shift, &outward_affine_map->shift);
bgc_fp64_versor_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
bgc_fp64_vector3_copy(&position->shift, &outward_affine_map->shift);
}
// ============== Get Inward Affine ============== //
inline void bgc_position3_get_inward_affine_fp32(const BgcPosition3FP32 * position, BgcAffine3FP32 * inward_affine_map)
inline void bgc_fp32_position3_get_inward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * inward_affine_map)
{
bgc_versor_get_reverse_matrix_fp32(&position->turn, &inward_affine_map->distortion);
bgc_matrix3x3_get_right_product_fp32(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_vector3_make_opposite_fp32(&inward_affine_map->shift);
bgc_fp32_versor_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
bgc_fp32_multiply_matrix3x3_by_vector3(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_fp32_vector3_revert(&inward_affine_map->shift);
}
inline void bgc_position3_get_inward_affine_fp64(const BgcPosition3FP64 * position, BgcAffine3FP64 * inward_affine_map)
inline void bgc_fp64_position3_get_inward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * inward_affine_map)
{
bgc_versor_get_reverse_matrix_fp64(&position->turn, &inward_affine_map->distortion);
bgc_matrix3x3_get_right_product_fp64(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_vector3_make_opposite_fp64(&inward_affine_map->shift);
bgc_fp64_versor_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
bgc_fp64_multiply_matrix3x3_by_vector3(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
bgc_fp64_vector3_revert(&inward_affine_map->shift);
}
// ========== Transform Point Outwards =========== //
inline void bgc_position3_transform_point_outwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * inner_point, BgcVector3FP32 * outer_point)
inline void bgc_fp32_position3_transform_point_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_point, BGC_FP32_Vector3 * outer_point)
{
BgcVector3FP32 turned_point;
bgc_versor_turn_vector_fp32(&position->turn, inner_point, &turned_point);
bgc_vector3_add_fp32(&position->shift, &turned_point, outer_point);
BGC_FP32_Vector3 turned_point;
bgc_fp32_versor_turn_vector(&position->turn, inner_point, &turned_point);
bgc_fp32_vector3_add(&position->shift, &turned_point, outer_point);
}
inline void bgc_position3_transform_point_outwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * inner_point, BgcVector3FP64 * outer_point)
inline void bgc_fp64_position3_transform_point_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point, BGC_FP64_Vector3 * outer_point)
{
BgcVector3FP64 turned_point;
bgc_versor_turn_vector_fp64(&position->turn, inner_point, &turned_point);
bgc_vector3_add_fp64(&position->shift, &turned_point, outer_point);
BGC_FP64_Vector3 turned_point;
bgc_fp64_versor_turn_vector(&position->turn, inner_point, &turned_point);
bgc_fp64_vector3_add(&position->shift, &turned_point, outer_point);
}
// =========== Transform Point Inwards =========== //
inline void bgc_position3_transform_point_inwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * outer_point, BgcVector3FP32 * inner_point)
inline void bgc_fp32_position3_transform_point_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_point, BGC_FP32_Vector3 * inner_point)
{
BgcVector3FP32 relative_point;
bgc_vector3_subtract_fp32(outer_point, &position->shift, &relative_point);
bgc_versor_turn_vector_back_fp32(&position->turn, &relative_point, inner_point);
BGC_FP32_Vector3 relative_point;
bgc_fp32_vector3_subtract(outer_point, &position->shift, &relative_point);
bgc_fp32_versor_turn_vector_back(&position->turn, &relative_point, inner_point);
}
inline void bgc_position3_transform_point_inwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * outer_point, BgcVector3FP64 * inner_point)
inline void bgc_fp64_position3_transform_point_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point, BGC_FP64_Vector3 * inner_point)
{
BgcVector3FP64 relative_point;
bgc_vector3_subtract_fp64(outer_point, &position->shift, &relative_point);
bgc_versor_turn_vector_back_fp64(&position->turn, &relative_point, inner_point);
BGC_FP64_Vector3 relative_point;
bgc_fp64_vector3_subtract(outer_point, &position->shift, &relative_point);
bgc_fp64_versor_turn_vector_back(&position->turn, &relative_point, inner_point);
}
// ========== Transform Vector Outwards ========== //
inline void bgc_position3_transform_vector_outwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * inner_vector, BgcVector3FP32 * outer_vector)
inline void bgc_fp32_position3_transform_vector_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_vector, BGC_FP32_Vector3 * outer_vector)
{
bgc_versor_turn_vector_fp32(&position->turn, inner_vector, outer_vector);
bgc_fp32_versor_turn_vector(&position->turn, inner_vector, outer_vector);
}
inline void bgc_position3_transform_vector_outwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * inner_vector, BgcVector3FP64 * outer_vector)
inline void bgc_fp64_position3_transform_vector_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector, BGC_FP64_Vector3 * outer_vector)
{
bgc_versor_turn_vector_fp64(&position->turn, inner_vector, outer_vector);
bgc_fp64_versor_turn_vector(&position->turn, inner_vector, outer_vector);
}
// ========== Transform Vector Inwards =========== //
inline void bgc_position3_transform_vector_inwards_fp32(const BgcPosition3FP32 * position, const BgcVector3FP32 * outer_vector, BgcVector3FP32 * inner_vector)
inline void bgc_fp32_position3_transform_vector_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_vector, BGC_FP32_Vector3 * inner_vector)
{
bgc_versor_turn_vector_back_fp32(&position->turn, outer_vector, inner_vector);
bgc_fp32_versor_turn_vector_back(&position->turn, outer_vector, inner_vector);
}
inline void bgc_position3_transform_vector_inwards_fp64(const BgcPosition3FP64 * position, const BgcVector3FP64 * outer_vector, BgcVector3FP64 * inner_vector)
inline void bgc_fp64_position3_transform_vector_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector, BGC_FP64_Vector3 * inner_vector)
{
bgc_versor_turn_vector_back_fp64(&position->turn, outer_vector, inner_vector);
bgc_fp64_versor_turn_vector_back(&position->turn, outer_vector, inner_vector);
}
#endif // _BGC_POSITION_H_INCLUDED_

View file

@ -1,105 +1,105 @@
#include <math.h>
#include "quaternion.h"
extern inline void bgc_quaternion_reset_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_reset_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion* quaternion);
extern inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion* quaternion);
extern inline void bgc_quaternion_make_unit_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_make_unit_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion* quaternion);
extern inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion* quaternion);
extern inline void bgc_quaternion_set_values_fp32(const float s0, const float x1, const float x2, const float x3, BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_set_values_fp64(const double s0, const double x1, const double x2, const double x3, BgcQuaternionFP64* quaternion);
extern inline void bgc_fp32_quaternion_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Quaternion* quaternion);
extern inline void bgc_fp64_quaternion_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Quaternion* quaternion);
extern inline float bgc_quaternion_get_square_modulus_fp32(const BgcQuaternionFP32* quaternion);
extern inline double bgc_quaternion_get_square_modulus_fp64(const BgcQuaternionFP64* quaternion);
extern inline float bgc_fp32_quaternion_get_square_modulus(const BGC_FP32_Quaternion* quaternion);
extern inline double bgc_fp64_quaternion_get_square_modulus(const BGC_FP64_Quaternion* quaternion);
extern inline float bgc_quaternion_get_modulus_fp32(const BgcQuaternionFP32* quaternion);
extern inline double bgc_quaternion_get_modulus_fp64(const BgcQuaternionFP64* quaternion);
extern inline float bgc_fp32_quaternion_get_modulus(const BGC_FP32_Quaternion* quaternion);
extern inline double bgc_fp64_quaternion_get_modulus(const BGC_FP64_Quaternion* quaternion);
extern inline int bgc_quaternion_is_zero_fp32(const BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_is_zero_fp64(const BgcQuaternionFP64* quaternion);
extern inline int bgc_fp32_quaternion_is_zero(const BGC_FP32_Quaternion* quaternion);
extern inline int bgc_fp64_quaternion_is_zero(const BGC_FP64_Quaternion* quaternion);
extern inline int bgc_quaternion_is_unit_fp32(const BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_is_unit_fp64(const BgcQuaternionFP64* quaternion);
extern inline int bgc_fp32_quaternion_is_unit(const BGC_FP32_Quaternion* quaternion);
extern inline int bgc_fp64_quaternion_is_unit(const BGC_FP64_Quaternion* quaternion);
extern inline void bgc_quaternion_copy_fp32(const BgcQuaternionFP32* source, BgcQuaternionFP32* destination);
extern inline void bgc_quaternion_copy_fp64(const BgcQuaternionFP64* source, BgcQuaternionFP64* destination);
extern inline void bgc_fp32_quaternion_copy(const BGC_FP32_Quaternion* source, BGC_FP32_Quaternion* destination);
extern inline void bgc_fp64_quaternion_copy(const BGC_FP64_Quaternion* source, BGC_FP64_Quaternion* destination);
extern inline void bgc_quaternion_swap_fp32(BgcQuaternionFP32* quarternion1, BgcQuaternionFP32* quarternion2);
extern inline void bgc_quaternion_swap_fp64(BgcQuaternionFP64* quarternion1, BgcQuaternionFP64* quarternion2);
extern inline void bgc_fp32_quaternion_swap(BGC_FP32_Quaternion* quarternion1, BGC_FP32_Quaternion* quarternion2);
extern inline void bgc_fp64_quaternion_swap(BGC_FP64_Quaternion* quarternion1, BGC_FP64_Quaternion* quarternion2);
extern inline void bgc_quaternion_convert_fp64_to_fp32(const BgcQuaternionFP64* source, BgcQuaternionFP32* destination);
extern inline void bgc_quaternion_convert_fp32_to_fp64(const BgcQuaternionFP32* source, BgcQuaternionFP64* destination);
extern inline void bgc_fp64_quaternion_convert_to_fp32(const BGC_FP64_Quaternion* source, BGC_FP32_Quaternion* destination);
extern inline void bgc_fp32_quaternion_convert_to_fp64(const BGC_FP32_Quaternion* source, BGC_FP64_Quaternion* destination);
extern inline void bgc_quaternion_add_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2, BgcQuaternionFP32* sum);
extern inline void bgc_quaternion_add_fp64(const BgcQuaternionFP64* quaternion1, const BgcQuaternionFP64* quaternion2, BgcQuaternionFP64* sum);
extern inline void bgc_fp32_quaternion_add(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, BGC_FP32_Quaternion* sum);
extern inline void bgc_fp64_quaternion_add(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, BGC_FP64_Quaternion* sum);
extern inline void bgc_quaternion_add_scaled_fp32(const BgcQuaternionFP32* basic_quaternion, const BgcQuaternionFP32* scalable_quaternion, const float scale, BgcQuaternionFP32* sum);
extern inline void bgc_quaternion_add_scaled_fp64(const BgcQuaternionFP64* basic_quaternion, const BgcQuaternionFP64* scalable_quaternion, const double scale, BgcQuaternionFP64* sum);
extern inline void bgc_fp32_quaternion_add_scaled(const BGC_FP32_Quaternion* basic_quaternion, const BGC_FP32_Quaternion* scalable_quaternion, const float scale, BGC_FP32_Quaternion* sum);
extern inline void bgc_fp64_quaternion_add_scaled(const BGC_FP64_Quaternion* basic_quaternion, const BGC_FP64_Quaternion* scalable_quaternion, const double scale, BGC_FP64_Quaternion* sum);
extern inline void bgc_quaternion_subtract_fp32(const BgcQuaternionFP32* minuend, const BgcQuaternionFP32* subtrahend, BgcQuaternionFP32* difference);
extern inline void bgc_quaternion_subtract_fp64(const BgcQuaternionFP64* minuend, const BgcQuaternionFP64* subtrahend, BgcQuaternionFP64* difference);
extern inline void bgc_fp32_quaternion_subtract(const BGC_FP32_Quaternion* minuend, const BGC_FP32_Quaternion* subtrahend, BGC_FP32_Quaternion* difference);
extern inline void bgc_fp64_quaternion_subtract(const BGC_FP64_Quaternion* minuend, const BGC_FP64_Quaternion* subtrahend, BGC_FP64_Quaternion* difference);
extern inline void bgc_quaternion_multiply_fp32(const BgcQuaternionFP32* left, const BgcQuaternionFP32* right, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_multiply_fp64(const BgcQuaternionFP64* left, const BgcQuaternionFP64* right, BgcQuaternionFP64* product);
extern inline void bgc_fp32_quaternion_get_product(const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right, BGC_FP32_Quaternion* product);
extern inline void bgc_fp64_quaternion_get_product(const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right, BGC_FP64_Quaternion* product);
extern inline void bgc_quaternion_multiply_by_number_fp32(const BgcQuaternionFP32* multiplicand, const float multipier, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_multiply_by_number_fp64(const BgcQuaternionFP64* multiplicand, const double multipier, BgcQuaternionFP64* product);
extern inline void bgc_fp32_quaternion_multiply(const BGC_FP32_Quaternion* multiplicand, const float multipier, BGC_FP32_Quaternion* product);
extern inline void bgc_fp64_quaternion_multiply(const BGC_FP64_Quaternion* multiplicand, const double multipier, BGC_FP64_Quaternion* product);
extern inline int bgc_quaternion_divide_fp32(const BgcQuaternionFP32* divident, const BgcQuaternionFP32* divisor, BgcQuaternionFP32* quotient);
extern inline int bgc_quaternion_divide_fp64(const BgcQuaternionFP64* divident, const BgcQuaternionFP64* divisor, BgcQuaternionFP64* quotient);
extern inline int bgc_fp32_quaternion_get_ratio(const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor, BGC_FP32_Quaternion* quotient);
extern inline int bgc_fp64_quaternion_get_ratio(const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor, BGC_FP64_Quaternion* quotient);
extern inline void bgc_quaternion_divide_by_number_fp32(const BgcQuaternionFP32* dividend, const float divisor, BgcQuaternionFP32* quotient);
extern inline void bgc_quaternion_divide_by_number_fp64(const BgcQuaternionFP64* dividend, const double divisor, BgcQuaternionFP64* quotient);
extern inline void bgc_fp32_quaternion_divide(const BGC_FP32_Quaternion* dividend, const float divisor, BGC_FP32_Quaternion* quotient);
extern inline void bgc_fp64_quaternion_divide(const BGC_FP64_Quaternion* dividend, const double divisor, BGC_FP64_Quaternion* quotient);
extern inline void bgc_quaternion_get_mean_of_two_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, BgcQuaternionFP32* mean);
extern inline void bgc_quaternion_get_mean_of_two_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, BgcQuaternionFP64* mean);
extern inline void bgc_fp32_quaternion_get_mean2(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, BGC_FP32_Quaternion* mean);
extern inline void bgc_fp64_quaternion_get_mean2(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, BGC_FP64_Quaternion* mean);
extern inline void bgc_quaternion_get_mean_of_three_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const BgcQuaternionFP32* vector3, BgcQuaternionFP32* mean);
extern inline void bgc_quaternion_get_mean_of_three_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const BgcQuaternionFP64* vector3, BgcQuaternionFP64* mean);
extern inline void bgc_fp32_quaternion_get_mean3(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const BGC_FP32_Quaternion* vector3, BGC_FP32_Quaternion* mean);
extern inline void bgc_fp64_quaternion_get_mean3(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const BGC_FP64_Quaternion* vector3, BGC_FP64_Quaternion* mean);
extern inline void bgc_quaternion_interpolate_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const float phase, BgcQuaternionFP32* interpolation);
extern inline void bgc_quaternion_interpolate_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const double phase, BgcQuaternionFP64* interpolation);
extern inline void bgc_fp32_quaternion_interpolate(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const float phase, BGC_FP32_Quaternion* interpolation);
extern inline void bgc_fp64_quaternion_interpolate(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const double phase, BGC_FP64_Quaternion* interpolation);
extern inline void bgc_quaternion_conjugate_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_conjugate_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_fp32_quaternion_conjugate(BGC_FP32_Quaternion* quaternion);
extern inline void bgc_fp64_quaternion_conjugate(BGC_FP64_Quaternion* quaternion);
extern inline void bgc_quaternion_get_conjugate_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* conjugate);
extern inline void bgc_quaternion_get_conjugate_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* conjugate);
extern inline void bgc_fp32_quaternion_get_conjugate(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* conjugate);
extern inline void bgc_fp64_quaternion_get_conjugate(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* conjugate);
extern inline void bgc_quaternion_make_opposite_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_make_opposite_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_fp32_quaternion_revert(BGC_FP32_Quaternion* quaternion);
extern inline void bgc_fp64_quaternion_revert(BGC_FP64_Quaternion* quaternion);
extern inline void bgc_quaternion_get_opposite_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* opposite);
extern inline void bgc_quaternion_get_opposite_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* opposite);
extern inline void bgc_fp32_quaternion_get_reverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* opposite);
extern inline void bgc_fp64_quaternion_get_reverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* opposite);
extern inline int bgc_quaternion_invert_fp32(BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_invert_fp64(BgcQuaternionFP64* quaternion);
extern inline int bgc_fp32_quaternion_invert(BGC_FP32_Quaternion* quaternion);
extern inline int bgc_fp64_quaternion_invert(BGC_FP64_Quaternion* quaternion);
extern inline int bgc_quaternion_get_inverse_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* inverse);
extern inline int bgc_quaternion_get_inverse_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* inverse);
extern inline int bgc_fp32_quaternion_get_inverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* inverse);
extern inline int bgc_fp64_quaternion_get_inverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* inverse);
extern inline int bgc_quaternion_normalize_fp32(BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_normalize_fp64(BgcQuaternionFP64* quaternion);
extern inline int bgc_fp32_quaternion_normalize(BGC_FP32_Quaternion* quaternion);
extern inline int bgc_fp64_quaternion_normalize(BGC_FP64_Quaternion* quaternion);
extern inline int bgc_quaternion_get_normalized_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* normalized);
extern inline int bgc_quaternion_get_normalized_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* normalized);
extern inline int bgc_fp32_quaternion_get_normalized(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* normalized);
extern inline int bgc_fp64_quaternion_get_normalized(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* normalized);
extern inline int bgc_quaternion_get_rotation_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation);
extern inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation);
extern inline int bgc_fp32_quaternion_get_rotation_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation);
extern inline int bgc_fp64_quaternion_get_rotation_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation);
extern inline int bgc_quaternion_get_reverse_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* reverse);
extern inline int bgc_quaternion_get_reverse_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* reverse);
extern inline int bgc_fp32_quaternion_get_reverse_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* reverse);
extern inline int bgc_fp64_quaternion_get_reverse_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* reverse);
extern inline int bgc_quaternion_get_both_matrices_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation, BgcMatrix3x3FP32* reverse);
extern inline int bgc_quaternion_get_both_matrices_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation, BgcMatrix3x3FP64* reverse);
extern inline int bgc_fp32_quaternion_get_both_matrices(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse);
extern inline int bgc_fp64_quaternion_get_both_matrices(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse);
extern inline int bgc_quaternion_are_close_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2);
extern inline int bgc_quaternion_are_close_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2);
extern inline int bgc_fp32_quaternion_are_close(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2);
extern inline int bgc_fp64_quaternion_are_close(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2);
// =============== Get Exponation =============== //
int bgc_quaternion_get_exponation_fp32(const BgcQuaternionFP32* base, const float exponent, BgcQuaternionFP32* power)
int bgc_fp32_quaternion_get_exponation(const BGC_FP32_Quaternion* base, const float exponent, BGC_FP32_Quaternion* power)
{
const float s0s0 = base->s0 * base->s0;
const float x1x1 = base->x1 * base->x1;
@ -109,12 +109,12 @@ int bgc_quaternion_get_exponation_fp32(const BgcQuaternionFP32* base, const floa
const float square_vector = x1x1 + (x2x2 + x3x3);
const float square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
// square_modulus != square_modulus means checking for NaN value at square_modulus
if (square_modulus != square_modulus) {
// isnan(square_modulus) means checking for NaN value at square_modulus
if (isnan(square_modulus)) {
return 0;
}
if (square_vector <= BGC_SQUARE_EPSYLON_FP32) {
if (square_vector <= BGC_FP32_SQUARE_EPSYLON) {
if (base->s0 < 0.0f) {
return 0;
}
@ -140,7 +140,7 @@ int bgc_quaternion_get_exponation_fp32(const BgcQuaternionFP32* base, const floa
return 1;
}
int bgc_quaternion_get_exponation_fp64(const BgcQuaternionFP64* base, const double exponent, BgcQuaternionFP64* power)
int bgc_fp64_quaternion_get_exponation(const BGC_FP64_Quaternion* base, const double exponent, BGC_FP64_Quaternion* power)
{
const double s0s0 = base->s0 * base->s0;
const double x1x1 = base->x1 * base->x1;
@ -149,13 +149,13 @@ int bgc_quaternion_get_exponation_fp64(const BgcQuaternionFP64* base, const doub
const double square_vector = x1x1 + (x2x2 + x3x3);
const double square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
// square_modulus != square_modulus means checking for NaN value at square_modulus
if (square_modulus != square_modulus) {
// isnan(square_modulus) means checking for NaN value at square_modulus
if (isnan(square_modulus)) {
return 0;
}
if (square_vector <= BGC_SQUARE_EPSYLON_FP64) {
if (square_vector <= BGC_FP64_SQUARE_EPSYLON) {
if (base->s0 < 0.0) {
return 0;
}

View file

@ -9,15 +9,15 @@
typedef struct {
float s0, x1, x2, x3;
} BgcQuaternionFP32;
} BGC_FP32_Quaternion;
typedef struct {
double s0, x1, x2, x3;
} BgcQuaternionFP64;
} BGC_FP64_Quaternion;
// ==================== Reset =================== //
inline void bgc_quaternion_reset_fp32(BgcQuaternionFP32 * quaternion)
inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion * quaternion)
{
quaternion->s0 = 0.0f;
quaternion->x1 = 0.0f;
@ -25,7 +25,7 @@ inline void bgc_quaternion_reset_fp32(BgcQuaternionFP32 * quaternion)
quaternion->x3 = 0.0f;
}
inline void bgc_quaternion_reset_fp64(BgcQuaternionFP64 * quaternion)
inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion * quaternion)
{
quaternion->s0 = 0.0;
quaternion->x1 = 0.0;
@ -35,7 +35,7 @@ inline void bgc_quaternion_reset_fp64(BgcQuaternionFP64 * quaternion)
// ================= Make Unit ================== //
inline void bgc_quaternion_make_unit_fp32(BgcQuaternionFP32 * quaternion)
inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion * quaternion)
{
quaternion->s0 = 1.0f;
quaternion->x1 = 0.0f;
@ -43,7 +43,7 @@ inline void bgc_quaternion_make_unit_fp32(BgcQuaternionFP32 * quaternion)
quaternion->x3 = 0.0f;
}
inline void bgc_quaternion_make_unit_fp64(BgcQuaternionFP64 * quaternion)
inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion * quaternion)
{
quaternion->s0 = 1.0;
quaternion->x1 = 0.0;
@ -53,7 +53,7 @@ inline void bgc_quaternion_make_unit_fp64(BgcQuaternionFP64 * quaternion)
// ==================== Set ===================== //
inline void bgc_quaternion_set_values_fp32(const float s0, const float x1, const float x2, const float x3, BgcQuaternionFP32 * quaternion)
inline void bgc_fp32_quaternion_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Quaternion * quaternion)
{
quaternion->s0 = s0;
quaternion->x1 = x1;
@ -61,7 +61,7 @@ inline void bgc_quaternion_set_values_fp32(const float s0, const float x1, const
quaternion->x3 = x3;
}
inline void bgc_quaternion_set_values_fp64(const double s0, const double x1, const double x2, const double x3, BgcQuaternionFP64 * quaternion)
inline void bgc_fp64_quaternion_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Quaternion * quaternion)
{
quaternion->s0 = s0;
quaternion->x1 = x1;
@ -71,55 +71,55 @@ inline void bgc_quaternion_set_values_fp64(const double s0, const double x1, con
// ============= Get Square Modulus ============= //
inline float bgc_quaternion_get_square_modulus_fp32(const BgcQuaternionFP32* quaternion)
inline float bgc_fp32_quaternion_get_square_modulus(const BGC_FP32_Quaternion* quaternion)
{
return (quaternion->s0 * quaternion->s0 + quaternion->x1 * quaternion->x1) + (quaternion->x2 * quaternion->x2 + quaternion->x3 * quaternion->x3);
}
inline double bgc_quaternion_get_square_modulus_fp64(const BgcQuaternionFP64* quaternion)
inline double bgc_fp64_quaternion_get_square_modulus(const BGC_FP64_Quaternion* quaternion)
{
return (quaternion->s0 * quaternion->s0 + quaternion->x1 * quaternion->x1) + (quaternion->x2 * quaternion->x2 + quaternion->x3 * quaternion->x3);
}
// ================ Get Modulus ================= //
inline float bgc_quaternion_get_modulus_fp32(const BgcQuaternionFP32* quaternion)
inline float bgc_fp32_quaternion_get_modulus(const BGC_FP32_Quaternion* quaternion)
{
return sqrtf(bgc_quaternion_get_square_modulus_fp32(quaternion));
return sqrtf(bgc_fp32_quaternion_get_square_modulus(quaternion));
}
inline double bgc_quaternion_get_modulus_fp64(const BgcQuaternionFP64* quaternion)
inline double bgc_fp64_quaternion_get_modulus(const BGC_FP64_Quaternion* quaternion)
{
return sqrt(bgc_quaternion_get_square_modulus_fp64(quaternion));
return sqrt(bgc_fp64_quaternion_get_square_modulus(quaternion));
}
// ================== Is Zero =================== //
inline int bgc_quaternion_is_zero_fp32(const BgcQuaternionFP32* quaternion)
inline int bgc_fp32_quaternion_is_zero(const BGC_FP32_Quaternion* quaternion)
{
return bgc_quaternion_get_square_modulus_fp32(quaternion) <= BGC_SQUARE_EPSYLON_FP32;
return bgc_fp32_quaternion_get_square_modulus(quaternion) <= BGC_FP32_SQUARE_EPSYLON;
}
inline int bgc_quaternion_is_zero_fp64(const BgcQuaternionFP64* quaternion)
inline int bgc_fp64_quaternion_is_zero(const BGC_FP64_Quaternion* quaternion)
{
return bgc_quaternion_get_square_modulus_fp64(quaternion) <= BGC_SQUARE_EPSYLON_FP64;
return bgc_fp64_quaternion_get_square_modulus(quaternion) <= BGC_FP64_SQUARE_EPSYLON;
}
// ================== Is Unit =================== //
inline int bgc_quaternion_is_unit_fp32(const BgcQuaternionFP32* quaternion)
inline int bgc_fp32_quaternion_is_unit(const BGC_FP32_Quaternion* quaternion)
{
return bgc_is_sqare_unit_fp32(bgc_quaternion_get_square_modulus_fp32(quaternion));
return bgc_fp32_is_square_unit(bgc_fp32_quaternion_get_square_modulus(quaternion));
}
inline int bgc_quaternion_is_unit_fp64(const BgcQuaternionFP64* quaternion)
inline int bgc_fp64_quaternion_is_unit(const BGC_FP64_Quaternion* quaternion)
{
return bgc_is_sqare_unit_fp64(bgc_quaternion_get_square_modulus_fp64(quaternion));
return bgc_fp64_is_square_unit(bgc_fp64_quaternion_get_square_modulus(quaternion));
}
// ==================== Copy ==================== //
inline void bgc_quaternion_copy_fp32(const BgcQuaternionFP32* source, BgcQuaternionFP32* destination)
inline void bgc_fp32_quaternion_copy(const BGC_FP32_Quaternion* source, BGC_FP32_Quaternion* destination)
{
destination->s0 = source->s0;
destination->x1 = source->x1;
@ -127,7 +127,7 @@ inline void bgc_quaternion_copy_fp32(const BgcQuaternionFP32* source, BgcQuatern
destination->x3 = source->x3;
}
inline void bgc_quaternion_copy_fp64(const BgcQuaternionFP64* source, BgcQuaternionFP64* destination)
inline void bgc_fp64_quaternion_copy(const BGC_FP64_Quaternion* source, BGC_FP64_Quaternion* destination)
{
destination->s0 = source->s0;
destination->x1 = source->x1;
@ -137,7 +137,7 @@ inline void bgc_quaternion_copy_fp64(const BgcQuaternionFP64* source, BgcQuatern
// ==================== Swap ==================== //
inline void bgc_quaternion_swap_fp32(BgcQuaternionFP32* quarternion1, BgcQuaternionFP32* quarternion2)
inline void bgc_fp32_quaternion_swap(BGC_FP32_Quaternion* quarternion1, BGC_FP32_Quaternion* quarternion2)
{
const float s0 = quarternion2->s0;
const float x1 = quarternion2->x1;
@ -155,7 +155,7 @@ inline void bgc_quaternion_swap_fp32(BgcQuaternionFP32* quarternion1, BgcQuatern
quarternion1->x3 = x3;
}
inline void bgc_quaternion_swap_fp64(BgcQuaternionFP64* quarternion1, BgcQuaternionFP64* quarternion2)
inline void bgc_fp64_quaternion_swap(BGC_FP64_Quaternion* quarternion1, BGC_FP64_Quaternion* quarternion2)
{
const double s0 = quarternion2->s0;
const double x1 = quarternion2->x1;
@ -175,7 +175,7 @@ inline void bgc_quaternion_swap_fp64(BgcQuaternionFP64* quarternion1, BgcQuatern
// ================== Convert =================== //
inline void bgc_quaternion_convert_fp64_to_fp32(const BgcQuaternionFP64* source, BgcQuaternionFP32* destination)
inline void bgc_fp64_quaternion_convert_to_fp32(const BGC_FP64_Quaternion* source, BGC_FP32_Quaternion* destination)
{
destination->s0 = (float)source->s0;
destination->x1 = (float)source->x1;
@ -183,7 +183,7 @@ inline void bgc_quaternion_convert_fp64_to_fp32(const BgcQuaternionFP64* source,
destination->x3 = (float)source->x3;
}
inline void bgc_quaternion_convert_fp32_to_fp64(const BgcQuaternionFP32* source, BgcQuaternionFP64* destination)
inline void bgc_fp32_quaternion_convert_to_fp64(const BGC_FP32_Quaternion* source, BGC_FP64_Quaternion* destination)
{
destination->s0 = source->s0;
destination->x1 = source->x1;
@ -193,7 +193,7 @@ inline void bgc_quaternion_convert_fp32_to_fp64(const BgcQuaternionFP32* source,
// ==================== Add ===================== //
inline void bgc_quaternion_add_fp32(const BgcQuaternionFP32 * quaternion1, const BgcQuaternionFP32 * quaternion2, BgcQuaternionFP32 * sum)
inline void bgc_fp32_quaternion_add(const BGC_FP32_Quaternion * quaternion1, const BGC_FP32_Quaternion * quaternion2, BGC_FP32_Quaternion * sum)
{
sum->s0 = quaternion1->s0 + quaternion2->s0;
sum->x1 = quaternion1->x1 + quaternion2->x1;
@ -201,7 +201,7 @@ inline void bgc_quaternion_add_fp32(const BgcQuaternionFP32 * quaternion1, const
sum->x3 = quaternion1->x3 + quaternion2->x3;
}
inline void bgc_quaternion_add_fp64(const BgcQuaternionFP64 * quaternion1, const BgcQuaternionFP64 * quaternion2, BgcQuaternionFP64 * sum)
inline void bgc_fp64_quaternion_add(const BGC_FP64_Quaternion * quaternion1, const BGC_FP64_Quaternion * quaternion2, BGC_FP64_Quaternion * sum)
{
sum->s0 = quaternion1->s0 + quaternion2->s0;
sum->x1 = quaternion1->x1 + quaternion2->x1;
@ -211,7 +211,7 @@ inline void bgc_quaternion_add_fp64(const BgcQuaternionFP64 * quaternion1, const
// ================= Add Scaled ================= //
inline void bgc_quaternion_add_scaled_fp32(const BgcQuaternionFP32 * basic_quaternion, const BgcQuaternionFP32 * scalable_quaternion, const float scale, BgcQuaternionFP32 * sum)
inline void bgc_fp32_quaternion_add_scaled(const BGC_FP32_Quaternion * basic_quaternion, const BGC_FP32_Quaternion * scalable_quaternion, const float scale, BGC_FP32_Quaternion * sum)
{
sum->s0 = basic_quaternion->s0 + scalable_quaternion->s0 * scale;
sum->x1 = basic_quaternion->x1 + scalable_quaternion->x1 * scale;
@ -219,7 +219,7 @@ inline void bgc_quaternion_add_scaled_fp32(const BgcQuaternionFP32 * basic_quate
sum->x3 = basic_quaternion->x3 + scalable_quaternion->x3 * scale;
}
inline void bgc_quaternion_add_scaled_fp64(const BgcQuaternionFP64 * basic_quaternion, const BgcQuaternionFP64 * scalable_quaternion, const double scale, BgcQuaternionFP64 * sum)
inline void bgc_fp64_quaternion_add_scaled(const BGC_FP64_Quaternion * basic_quaternion, const BGC_FP64_Quaternion * scalable_quaternion, const double scale, BGC_FP64_Quaternion * sum)
{
sum->s0 = basic_quaternion->s0 + scalable_quaternion->s0 * scale;
sum->x1 = basic_quaternion->x1 + scalable_quaternion->x1 * scale;
@ -229,7 +229,7 @@ inline void bgc_quaternion_add_scaled_fp64(const BgcQuaternionFP64 * basic_quate
// ================== Subtract ================== //
inline void bgc_quaternion_subtract_fp32(const BgcQuaternionFP32 * minuend, const BgcQuaternionFP32 * subtrahend, BgcQuaternionFP32 * difference)
inline void bgc_fp32_quaternion_subtract(const BGC_FP32_Quaternion * minuend, const BGC_FP32_Quaternion * subtrahend, BGC_FP32_Quaternion * difference)
{
difference->s0 = minuend->s0 - subtrahend->s0;
difference->x1 = minuend->x1 - subtrahend->x1;
@ -237,7 +237,7 @@ inline void bgc_quaternion_subtract_fp32(const BgcQuaternionFP32 * minuend, cons
difference->x3 = minuend->x3 - subtrahend->x3;
}
inline void bgc_quaternion_subtract_fp64(const BgcQuaternionFP64 * minuend, const BgcQuaternionFP64 * subtrahend, BgcQuaternionFP64 * difference)
inline void bgc_fp64_quaternion_subtract(const BGC_FP64_Quaternion * minuend, const BGC_FP64_Quaternion * subtrahend, BGC_FP64_Quaternion * difference)
{
difference->s0 = minuend->s0 - subtrahend->s0;
difference->x1 = minuend->x1 - subtrahend->x1;
@ -247,7 +247,7 @@ inline void bgc_quaternion_subtract_fp64(const BgcQuaternionFP64 * minuend, cons
// ================== Multiply ================== //
inline void bgc_quaternion_multiply_fp32(const BgcQuaternionFP32* left, const BgcQuaternionFP32* right, BgcQuaternionFP32* product)
inline void bgc_fp32_quaternion_get_product(const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right, BGC_FP32_Quaternion* product)
{
const float s0 = (left->s0 * right->s0 - left->x1 * right->x1) - (left->x2 * right->x2 + left->x3 * right->x3);
const float x1 = (left->x1 * right->s0 + left->s0 * right->x1) - (left->x3 * right->x2 - left->x2 * right->x3);
@ -260,7 +260,7 @@ inline void bgc_quaternion_multiply_fp32(const BgcQuaternionFP32* left, const Bg
product->x3 = x3;
}
inline void bgc_quaternion_multiply_fp64(const BgcQuaternionFP64* left, const BgcQuaternionFP64* right, BgcQuaternionFP64* product)
inline void bgc_fp64_quaternion_get_product(const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right, BGC_FP64_Quaternion* product)
{
const double s0 = (left->s0 * right->s0 - left->x1 * right->x1) - (left->x2 * right->x2 + left->x3 * right->x3);
const double x1 = (left->x1 * right->s0 + left->s0 * right->x1) - (left->x3 * right->x2 - left->x2 * right->x3);
@ -273,7 +273,7 @@ inline void bgc_quaternion_multiply_fp64(const BgcQuaternionFP64* left, const Bg
product->x3 = x3;
}
inline void bgc_quaternion_multiply_by_number_fp32(const BgcQuaternionFP32* multiplicand, const float multipier, BgcQuaternionFP32* product)
inline void bgc_fp32_quaternion_multiply(const BGC_FP32_Quaternion* multiplicand, const float multipier, BGC_FP32_Quaternion* product)
{
product->s0 = multiplicand->s0 * multipier;
product->x1 = multiplicand->x1 * multipier;
@ -281,7 +281,7 @@ inline void bgc_quaternion_multiply_by_number_fp32(const BgcQuaternionFP32* mult
product->x3 = multiplicand->x3 * multipier;
}
inline void bgc_quaternion_multiply_by_number_fp64(const BgcQuaternionFP64* multiplicand, const double multipier, BgcQuaternionFP64* product)
inline void bgc_fp64_quaternion_multiply(const BGC_FP64_Quaternion* multiplicand, const double multipier, BGC_FP64_Quaternion* product)
{
product->s0 = multiplicand->s0 * multipier;
product->x1 = multiplicand->x1 * multipier;
@ -291,11 +291,11 @@ inline void bgc_quaternion_multiply_by_number_fp64(const BgcQuaternionFP64* mult
// =================== Divide =================== //
inline int bgc_quaternion_divide_fp32(const BgcQuaternionFP32* divident, const BgcQuaternionFP32* divisor, BgcQuaternionFP32* quotient)
inline int bgc_fp32_quaternion_get_ratio(const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor, BGC_FP32_Quaternion* quotient)
{
const float square_modulus = bgc_quaternion_get_square_modulus_fp32(divisor);
const float square_modulus = bgc_fp32_quaternion_get_square_modulus(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -314,11 +314,11 @@ inline int bgc_quaternion_divide_fp32(const BgcQuaternionFP32* divident, const B
return 1;
}
inline int bgc_quaternion_divide_fp64(const BgcQuaternionFP64* divident, const BgcQuaternionFP64* divisor, BgcQuaternionFP64* quotient)
inline int bgc_fp64_quaternion_get_ratio(const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor, BGC_FP64_Quaternion* quotient)
{
const double square_modulus = bgc_quaternion_get_square_modulus_fp64(divisor);
const double square_modulus = bgc_fp64_quaternion_get_square_modulus(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -337,19 +337,19 @@ inline int bgc_quaternion_divide_fp64(const BgcQuaternionFP64* divident, const B
return 1;
}
inline void bgc_quaternion_divide_by_number_fp32(const BgcQuaternionFP32* dividend, const float divisor, BgcQuaternionFP32* quotient)
inline void bgc_fp32_quaternion_divide(const BGC_FP32_Quaternion* dividend, const float divisor, BGC_FP32_Quaternion* quotient)
{
bgc_quaternion_multiply_by_number_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_quaternion_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_quaternion_divide_by_number_fp64(const BgcQuaternionFP64* dividend, const double divisor, BgcQuaternionFP64* quotient)
inline void bgc_fp64_quaternion_divide(const BGC_FP64_Quaternion* dividend, const double divisor, BGC_FP64_Quaternion* quotient)
{
bgc_quaternion_multiply_by_number_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_quaternion_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Mean of Two ================= //
inline void bgc_quaternion_get_mean_of_two_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, BgcQuaternionFP32* mean)
inline void bgc_fp32_quaternion_get_mean2(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, BGC_FP32_Quaternion* mean)
{
mean->s0 = (vector1->s0 + vector2->s0) * 0.5f;
mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
@ -357,7 +357,7 @@ inline void bgc_quaternion_get_mean_of_two_fp32(const BgcQuaternionFP32* vector1
mean->x3 = (vector1->x3 + vector2->x3) * 0.5f;
}
inline void bgc_quaternion_get_mean_of_two_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, BgcQuaternionFP64* mean)
inline void bgc_fp64_quaternion_get_mean2(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, BGC_FP64_Quaternion* mean)
{
mean->s0 = (vector1->s0 + vector2->s0) * 0.5f;
mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
@ -367,61 +367,61 @@ inline void bgc_quaternion_get_mean_of_two_fp64(const BgcQuaternionFP64* vector1
// =============== Mean of Three ================ //
inline void bgc_quaternion_get_mean_of_three_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const BgcQuaternionFP32* vector3, BgcQuaternionFP32* mean)
inline void bgc_fp32_quaternion_get_mean3(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const BGC_FP32_Quaternion* vector3, BGC_FP32_Quaternion* mean)
{
mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_ONE_THIRD_FP32;
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP32;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP32;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP32;
mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_FP32_ONE_THIRD;
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP32_ONE_THIRD;
}
inline void bgc_quaternion_get_mean_of_three_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const BgcQuaternionFP64* vector3, BgcQuaternionFP64* mean)
inline void bgc_fp64_quaternion_get_mean3(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const BGC_FP64_Quaternion* vector3, BGC_FP64_Quaternion* mean)
{
mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_ONE_THIRD_FP64;
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP64;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP64;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP64;
mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_FP64_ONE_THIRD;
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP64_ONE_THIRD;
}
// ============ Linear Interpolation ============ //
inline void bgc_quaternion_interpolate_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2, const float phase, BgcQuaternionFP32* interpolation)
inline void bgc_fp32_quaternion_interpolate(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const float phase, BGC_FP32_Quaternion* interpolation)
{
const float counterphase = 1.0f - phase;
const float counter_phase = 1.0f - phase;
interpolation->s0 = quaternion1->s0 * counterphase + quaternion2->s0 * phase;
interpolation->x1 = quaternion1->x1 * counterphase + quaternion2->x1 * phase;
interpolation->x2 = quaternion1->x2 * counterphase + quaternion2->x2 * phase;
interpolation->x3 = quaternion1->x3 * counterphase + quaternion2->x3 * phase;
interpolation->s0 = quaternion1->s0 * counter_phase + quaternion2->s0 * phase;
interpolation->x1 = quaternion1->x1 * counter_phase + quaternion2->x1 * phase;
interpolation->x2 = quaternion1->x2 * counter_phase + quaternion2->x2 * phase;
interpolation->x3 = quaternion1->x3 * counter_phase + quaternion2->x3 * phase;
}
inline void bgc_quaternion_interpolate_fp64(const BgcQuaternionFP64* quaternion1, const BgcQuaternionFP64* quaternion2, const double phase, BgcQuaternionFP64* interpolation)
inline void bgc_fp64_quaternion_interpolate(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const double phase, BGC_FP64_Quaternion* interpolation)
{
const double counterphase = 1.0 - phase;
const double counter_phase = 1.0 - phase;
interpolation->s0 = quaternion1->s0 * counterphase + quaternion2->s0 * phase;
interpolation->x1 = quaternion1->x1 * counterphase + quaternion2->x1 * phase;
interpolation->x2 = quaternion1->x2 * counterphase + quaternion2->x2 * phase;
interpolation->x3 = quaternion1->x3 * counterphase + quaternion2->x3 * phase;
interpolation->s0 = quaternion1->s0 * counter_phase + quaternion2->s0 * phase;
interpolation->x1 = quaternion1->x1 * counter_phase + quaternion2->x1 * phase;
interpolation->x2 = quaternion1->x2 * counter_phase + quaternion2->x2 * phase;
interpolation->x3 = quaternion1->x3 * counter_phase + quaternion2->x3 * phase;
}
// ================= Conjugate ================== //
inline void bgc_quaternion_conjugate_fp32(BgcQuaternionFP32* quaternion)
inline void bgc_fp32_quaternion_conjugate(BGC_FP32_Quaternion* quaternion)
{
quaternion->x1 = -quaternion->x1;
quaternion->x2 = -quaternion->x2;
quaternion->x3 = -quaternion->x3;
}
inline void bgc_quaternion_conjugate_fp64(BgcQuaternionFP64* quaternion)
inline void bgc_fp64_quaternion_conjugate(BGC_FP64_Quaternion* quaternion)
{
quaternion->x1 = -quaternion->x1;
quaternion->x2 = -quaternion->x2;
quaternion->x3 = -quaternion->x3;
}
inline void bgc_quaternion_get_conjugate_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* conjugate)
inline void bgc_fp32_quaternion_get_conjugate(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* conjugate)
{
conjugate->s0 = quaternion->s0;
conjugate->x1 = -quaternion->x1;
@ -429,7 +429,7 @@ inline void bgc_quaternion_get_conjugate_fp32(const BgcQuaternionFP32* quaternio
conjugate->x3 = -quaternion->x3;
}
inline void bgc_quaternion_get_conjugate_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* conjugate)
inline void bgc_fp64_quaternion_get_conjugate(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* conjugate)
{
conjugate->s0 = quaternion->s0;
conjugate->x1 = -quaternion->x1;
@ -439,7 +439,7 @@ inline void bgc_quaternion_get_conjugate_fp64(const BgcQuaternionFP64* quaternio
// ================== Negative ================== //
inline void bgc_quaternion_make_opposite_fp32(BgcQuaternionFP32* quaternion)
inline void bgc_fp32_quaternion_revert(BGC_FP32_Quaternion* quaternion)
{
quaternion->s0 = -quaternion->s0;
quaternion->x1 = -quaternion->x1;
@ -447,7 +447,7 @@ inline void bgc_quaternion_make_opposite_fp32(BgcQuaternionFP32* quaternion)
quaternion->x3 = -quaternion->x3;
}
inline void bgc_quaternion_make_opposite_fp64(BgcQuaternionFP64* quaternion)
inline void bgc_fp64_quaternion_revert(BGC_FP64_Quaternion* quaternion)
{
quaternion->s0 = -quaternion->s0;
quaternion->x1 = -quaternion->x1;
@ -455,7 +455,7 @@ inline void bgc_quaternion_make_opposite_fp64(BgcQuaternionFP64* quaternion)
quaternion->x3 = -quaternion->x3;
}
inline void bgc_quaternion_get_opposite_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* opposite)
inline void bgc_fp32_quaternion_get_reverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* opposite)
{
opposite->s0 = -quaternion->s0;
opposite->x1 = -quaternion->x1;
@ -463,7 +463,7 @@ inline void bgc_quaternion_get_opposite_fp32(const BgcQuaternionFP32* quaternion
opposite->x3 = -quaternion->x3;
}
inline void bgc_quaternion_get_opposite_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* opposite)
inline void bgc_fp64_quaternion_get_reverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* opposite)
{
opposite->s0 = -quaternion->s0;
opposite->x1 = -quaternion->x1;
@ -473,11 +473,11 @@ inline void bgc_quaternion_get_opposite_fp64(const BgcQuaternionFP64* quaternion
// =================== Invert =================== //
inline int bgc_quaternion_get_inverse_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* inverse)
inline int bgc_fp32_quaternion_get_inverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* inverse)
{
const float square_modulus = bgc_quaternion_get_square_modulus_fp32(quaternion);
const float square_modulus = bgc_fp32_quaternion_get_square_modulus(quaternion);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -491,11 +491,11 @@ inline int bgc_quaternion_get_inverse_fp32(const BgcQuaternionFP32* quaternion,
return 1;
}
inline int bgc_quaternion_get_inverse_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* inverse)
inline int bgc_fp64_quaternion_get_inverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* inverse)
{
const double square_modulus = bgc_quaternion_get_square_modulus_fp64(quaternion);
const double square_modulus = bgc_fp64_quaternion_get_square_modulus(quaternion);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -509,27 +509,27 @@ inline int bgc_quaternion_get_inverse_fp64(const BgcQuaternionFP64* quaternion,
return 1;
}
inline int bgc_quaternion_invert_fp32(BgcQuaternionFP32* quaternion)
inline int bgc_fp32_quaternion_invert(BGC_FP32_Quaternion* quaternion)
{
return bgc_quaternion_get_inverse_fp32(quaternion, quaternion);
return bgc_fp32_quaternion_get_inverse(quaternion, quaternion);
}
inline int bgc_quaternion_invert_fp64(BgcQuaternionFP64* quaternion)
inline int bgc_fp64_quaternion_invert(BGC_FP64_Quaternion* quaternion)
{
return bgc_quaternion_get_inverse_fp64(quaternion, quaternion);
return bgc_fp64_quaternion_get_inverse(quaternion, quaternion);
}
// ================= Normalize ================== //
inline int bgc_quaternion_normalize_fp32(BgcQuaternionFP32* quaternion)
inline int bgc_fp32_quaternion_normalize(BGC_FP32_Quaternion* quaternion)
{
const float square_modulus = bgc_quaternion_get_square_modulus_fp32(quaternion);
const float square_modulus = bgc_fp32_quaternion_get_square_modulus(quaternion);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
if (bgc_fp32_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -543,15 +543,15 @@ inline int bgc_quaternion_normalize_fp32(BgcQuaternionFP32* quaternion)
return 1;
}
inline int bgc_quaternion_normalize_fp64(BgcQuaternionFP64* quaternion)
inline int bgc_fp64_quaternion_normalize(BGC_FP64_Quaternion* quaternion)
{
const double square_modulus = bgc_quaternion_get_square_modulus_fp64(quaternion);
const double square_modulus = bgc_fp64_quaternion_get_square_modulus(quaternion);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
if (bgc_fp64_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -565,51 +565,51 @@ inline int bgc_quaternion_normalize_fp64(BgcQuaternionFP64* quaternion)
return 1;
}
inline int bgc_quaternion_get_normalized_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* normalized)
inline int bgc_fp32_quaternion_get_normalized(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* normalized)
{
const float square_modulus = bgc_quaternion_get_square_modulus_fp32(quaternion);
const float square_modulus = bgc_fp32_quaternion_get_square_modulus(quaternion);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
bgc_quaternion_copy_fp32(quaternion, normalized);
if (bgc_fp32_is_square_unit(square_modulus)) {
bgc_fp32_quaternion_copy(quaternion, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
bgc_quaternion_reset_fp32(normalized);
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp32_quaternion_reset(normalized);
return 0;
}
bgc_quaternion_multiply_by_number_fp32(quaternion, sqrtf(1.0f / square_modulus), normalized);
bgc_fp32_quaternion_multiply(quaternion, sqrtf(1.0f / square_modulus), normalized);
return 1;
}
inline int bgc_quaternion_get_normalized_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* normalized)
inline int bgc_fp64_quaternion_get_normalized(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* normalized)
{
const double square_modulus = bgc_quaternion_get_square_modulus_fp64(quaternion);
const double square_modulus = bgc_fp64_quaternion_get_square_modulus(quaternion);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
bgc_quaternion_copy_fp64(quaternion, normalized);
if (bgc_fp64_is_square_unit(square_modulus)) {
bgc_fp64_quaternion_copy(quaternion, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
bgc_quaternion_reset_fp64(normalized);
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp64_quaternion_reset(normalized);
return 0;
}
bgc_quaternion_multiply_by_number_fp64(quaternion, sqrt(1.0 / square_modulus), normalized);
bgc_fp64_quaternion_multiply(quaternion, sqrt(1.0 / square_modulus), normalized);
return 1;
}
// =============== Get Exponation =============== //
int bgc_quaternion_get_exponation_fp32(const BgcQuaternionFP32* base, const float exponent, BgcQuaternionFP32* power);
int bgc_fp32_quaternion_get_exponation(const BGC_FP32_Quaternion* base, const float exponent, BGC_FP32_Quaternion* power);
int bgc_quaternion_get_exponation_fp64(const BgcQuaternionFP64* base, const double exponent, BgcQuaternionFP64* power);
int bgc_fp64_quaternion_get_exponation(const BGC_FP64_Quaternion* base, const double exponent, BGC_FP64_Quaternion* power);
// ============ Get Rotation Matrix ============= //
inline int bgc_quaternion_get_rotation_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation)
inline int bgc_fp32_quaternion_get_rotation_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation)
{
const float s0s0 = quaternion->s0 * quaternion->s0;
const float x1x1 = quaternion->x1 * quaternion->x1;
@ -618,9 +618,9 @@ inline int bgc_quaternion_get_rotation_matrix_fp32(const BgcQuaternionFP32* quat
const float square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus)
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus))
{
bgc_matrix3x3_set_to_identity_fp32(rotation);
bgc_fp32_matrix3x3_make_identity(rotation);
return 0;
}
@ -650,7 +650,7 @@ inline int bgc_quaternion_get_rotation_matrix_fp32(const BgcQuaternionFP32* quat
return 1;
}
inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation)
inline int bgc_fp64_quaternion_get_rotation_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation)
{
const double s0s0 = quaternion->s0 * quaternion->s0;
const double x1x1 = quaternion->x1 * quaternion->x1;
@ -659,9 +659,9 @@ inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP64* quat
const double square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus)
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus))
{
bgc_matrix3x3_set_to_identity_fp64(rotation);
bgc_fp64_matrix3x3_make_identity(rotation);
return 0;
}
@ -693,7 +693,7 @@ inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP64* quat
// ============= Get Reverse Matrix ============= //
inline int bgc_quaternion_get_reverse_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* reverse)
inline int bgc_fp32_quaternion_get_reverse_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* reverse)
{
const float s0s0 = quaternion->s0 * quaternion->s0;
const float x1x1 = quaternion->x1 * quaternion->x1;
@ -702,9 +702,9 @@ inline int bgc_quaternion_get_reverse_matrix_fp32(const BgcQuaternionFP32* quate
const float square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus)
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus))
{
bgc_matrix3x3_set_to_identity_fp32(reverse);
bgc_fp32_matrix3x3_make_identity(reverse);
return 0;
}
@ -734,7 +734,7 @@ inline int bgc_quaternion_get_reverse_matrix_fp32(const BgcQuaternionFP32* quate
return 1;
}
inline int bgc_quaternion_get_reverse_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* reverse)
inline int bgc_fp64_quaternion_get_reverse_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* reverse)
{
const double s0s0 = quaternion->s0 * quaternion->s0;
const double x1x1 = quaternion->x1 * quaternion->x1;
@ -743,9 +743,9 @@ inline int bgc_quaternion_get_reverse_matrix_fp64(const BgcQuaternionFP64* quate
const double square_modulus = (s0s0 + x1x1) + (x2x2 + x3x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus)
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus))
{
bgc_matrix3x3_set_to_identity_fp64(reverse);
bgc_fp64_matrix3x3_make_identity(reverse);
return 0;
}
@ -777,20 +777,20 @@ inline int bgc_quaternion_get_reverse_matrix_fp64(const BgcQuaternionFP64* quate
// ============= Get Both Matrixes ============== //
inline int bgc_quaternion_get_both_matrices_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation, BgcMatrix3x3FP32* reverse)
inline int bgc_fp32_quaternion_get_both_matrices(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse)
{
if (bgc_quaternion_get_reverse_matrix_fp32(quaternion, reverse)) {
bgc_matrix3x3_transpose_fp32(reverse, rotation);
if (bgc_fp32_quaternion_get_reverse_matrix(quaternion, reverse)) {
bgc_fp32_matrix3x3_get_transposed(reverse, rotation);
return 1;
}
return 0;
}
inline int bgc_quaternion_get_both_matrices_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation, BgcMatrix3x3FP64* reverse)
inline int bgc_fp64_quaternion_get_both_matrices(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse)
{
if (bgc_quaternion_get_reverse_matrix_fp64(quaternion, reverse)) {
bgc_matrix3x3_transpose_fp64(reverse, rotation);
if (bgc_fp64_quaternion_get_reverse_matrix(quaternion, reverse)) {
bgc_fp64_matrix3x3_get_transposed(reverse, rotation);
return 1;
}
@ -799,40 +799,40 @@ inline int bgc_quaternion_get_both_matrices_fp64(const BgcQuaternionFP64* quater
// ================== Are Close ================= //
inline int bgc_quaternion_are_close_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2)
inline int bgc_fp32_quaternion_are_close(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2)
{
const float ds0 = quaternion1->s0 - quaternion2->s0;
const float dx1 = quaternion1->x1 - quaternion2->x1;
const float dx2 = quaternion1->x2 - quaternion2->x2;
const float dx3 = quaternion1->x3 - quaternion2->x3;
const float square_modulus1 = bgc_quaternion_get_square_modulus_fp32(quaternion1);
const float square_modulus2 = bgc_quaternion_get_square_modulus_fp32(quaternion2);
const float square_modulus1 = bgc_fp32_quaternion_get_square_modulus(quaternion1);
const float square_modulus2 = bgc_fp32_quaternion_get_square_modulus(quaternion2);
const float square_distance = (ds0 * ds0 + dx1 * dx1) + (dx2 * dx2 + dx3 * dx3);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_distance <= BGC_SQUARE_EPSYLON_FP32;
if (square_modulus1 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP32_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus2;
return square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus2;
}
inline int bgc_quaternion_are_close_fp64(const BgcQuaternionFP64* quaternion1, const BgcQuaternionFP64* quaternion2)
inline int bgc_fp64_quaternion_are_close(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2)
{
const double ds0 = quaternion1->s0 - quaternion2->s0;
const double dx1 = quaternion1->x1 - quaternion2->x1;
const double dx2 = quaternion1->x2 - quaternion2->x2;
const double dx3 = quaternion1->x3 - quaternion2->x3;
const double square_modulus1 = bgc_quaternion_get_square_modulus_fp64(quaternion1);
const double square_modulus2 = bgc_quaternion_get_square_modulus_fp64(quaternion2);
const double square_modulus1 = bgc_fp64_quaternion_get_square_modulus(quaternion1);
const double square_modulus2 = bgc_fp64_quaternion_get_square_modulus(quaternion2);
const double square_distance = (ds0 * ds0 + dx1 * dx1) + (dx2 * dx2 + dx3 * dx3);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_distance <= BGC_SQUARE_EPSYLON_FP64;
if (square_modulus1 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP64_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus2;
return square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus2;
}
#endif

View file

@ -1,14 +1,14 @@
#include "rotation3.h"
const BgcRotation3FP32 BGC_IDLE_ROTATION3_FP32 = { {0.0f, 0.0f, 0.0f}, 0.0f};
const BGC_FP32_Rotation3 BGC_FP32_IDLE_ROTATION3 = { {0.0f, 0.0f, 0.0f}, 0.0f};
const BgcRotation3FP64 BGC_IDLE_ROTATION3_FP64 = { {0.0, 0.0, 0.0}, 0.0};
const BGC_FP64_Rotation3 BGC_FP64_IDLE_ROTATION3 = { {0.0, 0.0, 0.0}, 0.0};
extern inline void bgc_rotation3_reset_fp32(BgcRotation3FP32* rotation);
extern inline void bgc_rotation3_reset_fp64(BgcRotation3FP64* rotation);
extern inline void bgc_fp32_rotation3_reset(BGC_FP32_Rotation3* rotation);
extern inline void bgc_fp64_rotation3_reset(BGC_FP64_Rotation3* rotation);
extern inline void bgc_rotation3_set_values_fp32(const float x1, const float x2, const float x3, const float angle, const BgcAngleUnitEnum unit, BgcRotation3FP32* rotation);
extern inline void bgc_rotation3_set_values_fp64(const double x1, const double x2, const double x3, const double angle, const BgcAngleUnitEnum unit, BgcRotation3FP64* rotation);
extern inline void bgc_fp32_rotation3_make(const float x1, const float x2, const float x3, const float angle, const int unit, BGC_FP32_Rotation3* rotation);
extern inline void bgc_fp64_rotation3_make(const double x1, const double x2, const double x3, const double angle, const int unit, BGC_FP64_Rotation3* rotation);
extern inline void bgc_rotation3_set_with_axis_fp32(const BgcVector3FP32* axis, const float angle, const BgcAngleUnitEnum unit, BgcRotation3FP32* rotation);
extern inline void bgc_rotation3_set_with_axis_fp64(const BgcVector3FP64* axis, const double angle, const BgcAngleUnitEnum unit, BgcRotation3FP64* rotation);
extern inline void bgc_fp32_rotation3_make_for_axis(const BGC_FP32_Vector3* axis, const float angle, const int unit, BGC_FP32_Rotation3* rotation);
extern inline void bgc_fp64_rotation3_make_for_axis(const BGC_FP64_Vector3* axis, const double angle, const int unit, BGC_FP64_Rotation3* rotation);

View file

@ -6,22 +6,22 @@
#include "vector3.h"
typedef struct {
BgcVector3FP32 axis;
BGC_FP32_Vector3 axis;
float radians;
} BgcRotation3FP32;
} BGC_FP32_Rotation3;
typedef struct {
BgcVector3FP64 axis;
BGC_FP64_Vector3 axis;
double radians;
} BgcRotation3FP64;
} BGC_FP64_Rotation3;
extern const BgcRotation3FP32 BGC_IDLE_ROTATION3_FP32;
extern const BGC_FP32_Rotation3 BGC_FP32_IDLE_ROTATION3;
extern const BgcRotation3FP64 BGC_IDLE_ROTATION3_FP64;
extern const BGC_FP64_Rotation3 BGC_FP64_IDLE_ROTATION3;
// =================== Reset ==================== //
inline void bgc_rotation3_reset_fp32(BgcRotation3FP32* rotation)
inline void bgc_fp32_rotation3_reset(BGC_FP32_Rotation3* rotation)
{
rotation->axis.x1 = 0.0f;
rotation->axis.x2 = 0.0f;
@ -30,7 +30,7 @@ inline void bgc_rotation3_reset_fp32(BgcRotation3FP32* rotation)
rotation->radians = 0.0f;
}
inline void bgc_rotation3_reset_fp64(BgcRotation3FP64* rotation)
inline void bgc_fp64_rotation3_reset(BGC_FP64_Rotation3* rotation)
{
rotation->axis.x1 = 0.0;
rotation->axis.x2 = 0.0;
@ -41,14 +41,14 @@ inline void bgc_rotation3_reset_fp64(BgcRotation3FP64* rotation)
// ================= Set Values ================= //
inline void bgc_rotation3_set_values_fp32(const float x1, const float x2, const float x3, const float angle, const BgcAngleUnitEnum unit, BgcRotation3FP32* rotation)
inline void bgc_fp32_rotation3_make(const float x1, const float x2, const float x3, const float angle, const int unit, BGC_FP32_Rotation3* rotation)
{
rotation->axis.x1 = x1;
rotation->axis.x2 = x2;
rotation->axis.x3 = x3;
if (bgc_vector3_normalize_fp32(&rotation->axis)) {
rotation->radians = bgc_angle_to_radians_fp32(angle, unit);
if (bgc_fp32_vector3_normalize(&rotation->axis)) {
rotation->radians = bgc_fp32_angle_to_radians(angle, unit);
}
else {
rotation->radians = 0.0f;
@ -56,34 +56,34 @@ inline void bgc_rotation3_set_values_fp32(const float x1, const float x2, const
}
inline void bgc_rotation3_set_values_fp64(const double x1, const double x2, const double x3, const double angle, const BgcAngleUnitEnum unit, BgcRotation3FP64* rotation)
inline void bgc_fp64_rotation3_make(const double x1, const double x2, const double x3, const double angle, const int unit, BGC_FP64_Rotation3* rotation)
{
rotation->axis.x1 = x1;
rotation->axis.x2 = x2;
rotation->axis.x3 = x3;
if (bgc_vector3_normalize_fp64(&rotation->axis)) {
rotation->radians = bgc_angle_to_radians_fp64(angle, unit);
if (bgc_fp64_vector3_normalize(&rotation->axis)) {
rotation->radians = bgc_fp64_angle_to_radians(angle, unit);
}
else {
rotation->radians = 0.0;
}
}
inline void bgc_rotation3_set_with_axis_fp32(const BgcVector3FP32* axis, const float angle, const BgcAngleUnitEnum unit, BgcRotation3FP32* rotation)
inline void bgc_fp32_rotation3_make_for_axis(const BGC_FP32_Vector3* axis, const float angle, const int unit, BGC_FP32_Rotation3* rotation)
{
if (bgc_vector3_get_normalized_fp32(axis, &rotation->axis)) {
rotation->radians = bgc_angle_to_radians_fp32(angle, unit);
if (bgc_fp32_vector3_get_normalized(axis, &rotation->axis)) {
rotation->radians = bgc_fp32_angle_to_radians(angle, unit);
}
else {
rotation->radians = 0.0f;
}
}
inline void bgc_rotation3_set_with_axis_fp64(const BgcVector3FP64* axis, const double angle, const BgcAngleUnitEnum unit, BgcRotation3FP64* rotation)
inline void bgc_fp64_rotation3_make_for_axis(const BGC_FP64_Vector3* axis, const double angle, const int unit, BGC_FP64_Rotation3* rotation)
{
if (bgc_vector3_get_normalized_fp64(axis, &rotation->axis)) {
rotation->radians = bgc_angle_to_radians_fp64(angle, unit);
if (bgc_fp64_vector3_get_normalized(axis, &rotation->axis)) {
rotation->radians = bgc_fp64_angle_to_radians(angle, unit);
}
else {
rotation->radians = 0.0;

View file

@ -1,27 +1,27 @@
#include "./slerp.h"
extern inline void bgc_slerp_reset_fp32(BgcSlerpFP32* slerp);
extern inline void bgc_slerp_reset_fp64(BgcSlerpFP64* slerp);
extern inline void bgc_fp32_slerp_reset(BGC_FP32_Slerp* slerp);
extern inline void bgc_fp64_slerp_reset(BGC_FP64_Slerp* slerp);
extern inline void bgc_slerp_make_full_fp32(const BgcVersorFP32* start, const BgcVersorFP32* end, BgcSlerpFP32* slerp);
extern inline void bgc_slerp_make_full_fp64(const BgcVersorFP64* start, const BgcVersorFP64* end, BgcSlerpFP64* slerp);
extern inline void bgc_fp32_slerp_make_full(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp);
extern inline void bgc_fp64_slerp_make_full(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp);
extern inline void bgc_slerp_make_shortened_fp32(const BgcVersorFP32* start, const BgcVersorFP32* end, BgcSlerpFP32* slerp);
extern inline void bgc_slerp_make_shortened_fp64(const BgcVersorFP64* start, const BgcVersorFP64* end, BgcSlerpFP64* slerp);
extern inline void bgc_fp32_slerp_make_shortened(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp);
extern inline void bgc_fp64_slerp_make_shortened(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp);
extern inline void bgc_slerp_get_turn_for_phase_fp32(const BgcSlerpFP32* slerp, const float phase, BgcVersorFP32* result);
extern inline void bgc_slerp_get_turn_for_phase_fp64(const BgcSlerpFP64* slerp, const double phase, BgcVersorFP64* result);
extern inline void bgc_fp32_slerp_get_phase_versor(const BGC_FP32_Slerp* slerp, const float phase, BGC_FP32_Versor* result);
extern inline void bgc_fp64_slerp_get_phase_versor(const BGC_FP64_Slerp* slerp, const double phase, BGC_FP64_Versor* result);
void bgc_slerp_make_fp32(const BgcVersorFP32* start, const BgcVersorFP32* augment, BgcSlerpFP32* slerp)
void bgc_fp32_slerp_make(const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment, BGC_FP32_Slerp* slerp)
{
const float square_vector = augment->_x1 * augment->_x1 + augment->_x2 * augment->_x2 + augment->_x3 * augment->_x3;
if (square_vector != square_vector) {
bgc_slerp_reset_fp32(slerp);
bgc_fp32_slerp_reset(slerp);
return;
}
if (square_vector <= BGC_SQUARE_EPSYLON_FP32) {
if (square_vector <= BGC_FP32_SQUARE_EPSYLON) {
slerp->s0_cos_weight = start->_s0;
slerp->x1_cos_weight = start->_x1;
slerp->x2_cos_weight = start->_x2;
@ -53,16 +53,16 @@ void bgc_slerp_make_fp32(const BgcVersorFP32* start, const BgcVersorFP32* augmen
slerp->x3_sin_weight = multiplier * (augment->_x3 * start->_s0 - augment->_x2 * start->_x1 + augment->_x1 * start->_x2);
}
void bgc_slerp_make_fp64(const BgcVersorFP64* start, const BgcVersorFP64* augment, BgcSlerpFP64* slerp)
void bgc_fp64_slerp_make(const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment, BGC_FP64_Slerp* slerp)
{
const double square_vector = augment->_x1 * augment->_x1 + augment->_x2 * augment->_x2 + augment->_x3 * augment->_x3;
if (square_vector != square_vector) {
bgc_slerp_reset_fp64(slerp);
bgc_fp64_slerp_reset(slerp);
return;
}
if (square_vector <= BGC_SQUARE_EPSYLON_FP64) {
if (square_vector <= BGC_FP64_SQUARE_EPSYLON) {
slerp->s0_cos_weight = start->_s0;
slerp->x1_cos_weight = start->_x1;
slerp->x2_cos_weight = start->_x2;

View file

@ -9,7 +9,7 @@ typedef struct {
float x2_cos_weight, x2_sin_weight;
float x3_cos_weight, x3_sin_weight;
float radians;
} BgcSlerpFP32;
} BGC_FP32_Slerp;
typedef struct {
double s0_cos_weight, s0_sin_weight;
@ -17,9 +17,9 @@ typedef struct {
double x2_cos_weight, x2_sin_weight;
double x3_cos_weight, x3_sin_weight;
double radians;
} BgcSlerpFP64;
} BGC_FP64_Slerp;
inline void bgc_slerp_reset_fp32(BgcSlerpFP32* slerp)
inline void bgc_fp32_slerp_reset(BGC_FP32_Slerp* slerp)
{
slerp->s0_cos_weight = 1.0f;
slerp->s0_sin_weight = 0.0f;
@ -36,7 +36,7 @@ inline void bgc_slerp_reset_fp32(BgcSlerpFP32* slerp)
slerp->radians = 0.0f;
}
inline void bgc_slerp_reset_fp64(BgcSlerpFP64* slerp)
inline void bgc_fp64_slerp_reset(BGC_FP64_Slerp* slerp)
{
slerp->s0_cos_weight = 1.0;
slerp->s0_sin_weight = 0.0;
@ -53,55 +53,55 @@ inline void bgc_slerp_reset_fp64(BgcSlerpFP64* slerp)
slerp->radians = 0.0;
}
void bgc_slerp_make_fp32(const BgcVersorFP32* start, const BgcVersorFP32* augment, BgcSlerpFP32* slerp);
void bgc_fp32_slerp_make(const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment, BGC_FP32_Slerp* slerp);
void bgc_slerp_make_fp64(const BgcVersorFP64* start, const BgcVersorFP64* augment, BgcSlerpFP64* slerp);
void bgc_fp64_slerp_make(const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment, BGC_FP64_Slerp* slerp);
inline void bgc_slerp_make_full_fp32(const BgcVersorFP32* start, const BgcVersorFP32* end, BgcSlerpFP32* slerp)
inline void bgc_fp32_slerp_make_full(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp)
{
BgcVersorFP32 augment;
BGC_FP32_Versor augment;
bgc_versor_exclude_fp32(end, start, &augment);
bgc_fp32_versor_exclude(end, start, &augment);
bgc_slerp_make_fp32(start, &augment, slerp);
bgc_fp32_slerp_make(start, &augment, slerp);
}
inline void bgc_slerp_make_full_fp64(const BgcVersorFP64* start, const BgcVersorFP64* end, BgcSlerpFP64* slerp)
inline void bgc_fp64_slerp_make_full(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp)
{
BgcVersorFP64 augment;
BGC_FP64_Versor augment;
bgc_versor_exclude_fp64(end, start, &augment);
bgc_fp64_versor_exclude(end, start, &augment);
bgc_slerp_make_fp64(start, &augment, slerp);
bgc_fp64_slerp_make(start, &augment, slerp);
}
inline void bgc_slerp_make_shortened_fp32(const BgcVersorFP32* start, const BgcVersorFP32* end, BgcSlerpFP32* slerp)
inline void bgc_fp32_slerp_make_shortened(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp)
{
BgcVersorFP32 augment;
BGC_FP32_Versor augment;
bgc_versor_exclude_fp32(end, start, &augment);
bgc_versor_shorten_fp32(&augment);
bgc_fp32_versor_exclude(end, start, &augment);
bgc_fp32_versor_shorten(&augment);
bgc_slerp_make_fp32(start, &augment, slerp);
bgc_fp32_slerp_make(start, &augment, slerp);
}
inline void bgc_slerp_make_shortened_fp64(const BgcVersorFP64* start, const BgcVersorFP64* end, BgcSlerpFP64* slerp)
inline void bgc_fp64_slerp_make_shortened(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp)
{
BgcVersorFP64 augment;
BGC_FP64_Versor augment;
bgc_versor_exclude_fp64(end, start, &augment);
bgc_versor_shorten_fp64(&augment);
bgc_fp64_versor_exclude(end, start, &augment);
bgc_fp64_versor_shorten(&augment);
bgc_slerp_make_fp64(start, &augment, slerp);
bgc_fp64_slerp_make(start, &augment, slerp);
}
inline void bgc_slerp_get_turn_for_phase_fp32(const BgcSlerpFP32* slerp, const float phase, BgcVersorFP32* result)
inline void bgc_fp32_slerp_get_phase_versor(const BGC_FP32_Slerp* slerp, const float phase, BGC_FP32_Versor* result)
{
const float angle = slerp->radians * phase;
const float cosine = cosf(angle);
const float sine = sinf(angle);
bgc_versor_set_values_fp32(
bgc_fp32_versor_make(
slerp->s0_cos_weight * cosine + slerp->s0_sin_weight * sine,
slerp->x1_cos_weight * cosine + slerp->x1_sin_weight * sine,
slerp->x2_cos_weight * cosine + slerp->x2_sin_weight * sine,
@ -110,13 +110,13 @@ inline void bgc_slerp_get_turn_for_phase_fp32(const BgcSlerpFP32* slerp, const f
);
}
inline void bgc_slerp_get_turn_for_phase_fp64(const BgcSlerpFP64* slerp, const double phase, BgcVersorFP64* result)
inline void bgc_fp64_slerp_get_phase_versor(const BGC_FP64_Slerp* slerp, const double phase, BGC_FP64_Versor* result)
{
const double angle = slerp->radians * phase;
const double cosine = cos(angle);
const double sine = sin(angle);
bgc_versor_set_values_fp64(
bgc_fp64_versor_make(
slerp->s0_cos_weight * cosine + slerp->s0_sin_weight * sine,
slerp->x1_cos_weight * cosine + slerp->x1_sin_weight * sine,
slerp->x2_cos_weight * cosine + slerp->x2_sin_weight * sine,

View file

@ -2,14 +2,14 @@
extern inline int bgc_is_correct_axis(const int axis);
extern inline int bgc_is_zero_fp32(const float square_value);
extern inline int bgc_is_zero_fp64(const double square_value);
extern inline int bgc_fp32_is_zero(const float square_value);
extern inline int bgc_fp64_is_zero(const double square_value);
extern inline int bgc_is_unit_fp32(const float square_value);
extern inline int bgc_is_unit_fp64(const double square_value);
extern inline int bgc_fp32_is_unit(const float square_value);
extern inline int bgc_fp64_is_unit(const double square_value);
extern inline int bgc_is_sqare_unit_fp32(const float square_value);
extern inline int bgc_is_sqare_unit_fp64(const double square_value);
extern inline int bgc_fp32_is_square_unit(const float square_value);
extern inline int bgc_fp64_is_square_unit(const double square_value);
extern inline int bgc_are_close_fp32(const float value1, const float value2);
extern inline int bgc_are_close_fp64(const double value1, const double value2);
extern inline int bgc_fp32_are_close(const float value1, const float value2);
extern inline int bgc_fp64_are_close(const double value1, const double value2);

View file

@ -1,33 +1,31 @@
#ifndef _BGC_UTILITIES_H_
#define _BGC_UTILITIES_H_
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 1.0f
#define BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT 1.0f
#define BGC_EPSYLON_FP32 4.76837E-7f
#define BGC_SQUARE_EPSYLON_FP32 (BGC_EPSYLON_FP32 * BGC_EPSYLON_FP32)
#define BGC_FP32_EPSYLON 4.76837E-7f
#define BGC_FP32_SQUARE_EPSYLON (BGC_FP32_EPSYLON * BGC_FP32_EPSYLON)
#define BGC_ONE_THIRD_FP32 0.3333333333f
#define BGC_ONE_SIXTH_FP32 0.1666666667f
#define BGC_ONE_SEVENTH_FP32 0.142857142857f
#define BGC_ONE_NINETH_FP32 0.1111111111f
#define BGC_FP32_ONE_THIRD 0.3333333333f
#define BGC_FP32_ONE_SIXTH 0.1666666667f
#define BGC_FP32_ONE_SEVENTH 0.142857142857f
#define BGC_FP32_ONE_NINETH 0.1111111111f
#define BGC_ARCCOSINE_PRECISION_LIMIT_FP32 0.70711f
#define BGC_FP32_GOLDEN_RATIO_HIGH 1.618034f
#define BGC_FP32_GOLDEN_RATIO_LOW 0.618034f
#define BGC_GOLDEN_RATIO_HIGH_FP32 1.618034f
#define BGC_GOLDEN_RATIO_LOW_FP32 0.618034f
#define BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT 1.0
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 1.0
#define BGC_FP64_EPSYLON 4.996003611E-14
#define BGC_FP64_SQUARE_EPSYLON (BGC_FP64_EPSYLON * BGC_FP64_EPSYLON)
#define BGC_EPSYLON_FP64 4.996003611E-14
#define BGC_SQUARE_EPSYLON_FP64 (BGC_EPSYLON_FP64 * BGC_EPSYLON_FP64)
#define BGC_FP64_ONE_THIRD 0.3333333333333333333
#define BGC_FP64_ONE_SIXTH 0.1666666666666666667
#define BGC_FP64_ONE_SEVENTH 0.142857142857142857
#define BGC_FP64_ONE_NINETH 0.1111111111111111111
#define BGC_ONE_THIRD_FP64 0.3333333333333333333
#define BGC_ONE_SIXTH_FP64 0.1666666666666666667
#define BGC_ONE_SEVENTH_FP64 0.142857142857142857
#define BGC_ONE_NINETH_FP64 0.1111111111111111111
#define BGC_GOLDEN_RATIO_HIGH_FP64 1.61803398874989485
#define BGC_GOLDEN_RATIO_LOW_FP64 0.61803398874989485
#define BGC_FP64_GOLDEN_RATIO_HIGH 1.61803398874989485
#define BGC_FP64_GOLDEN_RATIO_LOW 0.61803398874989485
#define BGC_SUCCESS 0
#define BGC_FAILED -1
@ -53,66 +51,66 @@ inline int bgc_is_correct_axis(const int axis)
|| axis == BGC_AXIS_X3 || axis == BGC_AXIS_REVERSE_X3;
}
inline int bgc_is_zero_fp32(const float value)
inline int bgc_fp32_is_zero(const float value)
{
return (-BGC_EPSYLON_FP32 <= value) && (value <= BGC_EPSYLON_FP32);
return (-BGC_FP32_EPSYLON <= value) && (value <= BGC_FP32_EPSYLON);
}
inline int bgc_is_zero_fp64(const double value)
inline int bgc_fp64_is_zero(const double value)
{
return (-BGC_EPSYLON_FP64 <= value) && (value <= BGC_EPSYLON_FP64);
return (-BGC_FP64_EPSYLON <= value) && (value <= BGC_FP64_EPSYLON);
}
inline int bgc_is_unit_fp32(const float value)
inline int bgc_fp32_is_unit(const float value)
{
return (1.0f - BGC_EPSYLON_FP32 <= value) && (value <= 1.0f + BGC_EPSYLON_FP32);
return (1.0f - BGC_FP32_EPSYLON <= value) && (value <= 1.0f + BGC_FP32_EPSYLON);
}
inline int bgc_is_unit_fp64(const double value)
inline int bgc_fp64_is_unit(const double value)
{
return (1.0 - BGC_EPSYLON_FP64 <= value) && (value <= 1.0 + BGC_EPSYLON_FP64);
return (1.0 - BGC_FP64_EPSYLON <= value) && (value <= 1.0 + BGC_FP64_EPSYLON);
}
inline int bgc_is_sqare_unit_fp32(const float square_value)
inline int bgc_fp32_is_square_unit(const float square_value)
{
return (1.0f - 2.0f * BGC_EPSYLON_FP32 <= square_value) && (square_value <= 1.0f + 2.0f * BGC_EPSYLON_FP32);
return (1.0f - 2.0f * BGC_FP32_EPSYLON <= square_value) && (square_value <= 1.0f + 2.0f * BGC_FP32_EPSYLON);
}
inline int bgc_is_sqare_unit_fp64(const double square_value)
inline int bgc_fp64_is_square_unit(const double square_value)
{
return (1.0 - 2.0 * BGC_EPSYLON_FP64 <= square_value) && (square_value <= 1.0 + 2.0 * BGC_EPSYLON_FP64);
return (1.0 - 2.0 * BGC_FP64_EPSYLON <= square_value) && (square_value <= 1.0 + 2.0 * BGC_FP64_EPSYLON);
}
// ================== Are Close ================= //
inline int bgc_are_close_fp32(const float value1, const float value2)
inline int bgc_fp32_are_close(const float value1, const float value2)
{
const float difference = value1 - value2;
const float square_value1 = value1 * value1;
const float square_value2 = value2 * value2;
const float square_difference = difference * difference;
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_difference <= BGC_SQUARE_EPSYLON_FP32;
if (square_value1 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_value2 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_difference <= BGC_FP32_SQUARE_EPSYLON;
}
return square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value2;
return square_difference <= BGC_FP32_SQUARE_EPSYLON * square_value1 && square_difference <= BGC_FP32_SQUARE_EPSYLON * square_value2;
}
inline int bgc_are_close_fp64(const double value1, const double value2)
inline int bgc_fp64_are_close(const double value1, const double value2)
{
const double difference = value1 - value2;
const double square_value1 = value1 * value1;
const double square_value2 = value2 * value2;
const double square_difference = difference * difference;
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_difference <= BGC_SQUARE_EPSYLON_FP64;
if (square_value1 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_value2 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_difference <= BGC_FP64_SQUARE_EPSYLON;
}
return square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value2;
return square_difference <= BGC_FP64_SQUARE_EPSYLON * square_value1 && square_difference <= BGC_FP64_SQUARE_EPSYLON * square_value2;
}
#endif

View file

@ -1,143 +1,143 @@
#include "vector2.h"
extern inline void bgc_vector2_reset_fp32(BgcVector2FP32* vector);
extern inline void bgc_vector2_reset_fp64(BgcVector2FP64* vector);
extern inline void bgc_fp32_vector2_reset(BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* vector);
extern inline void bgc_vector2_set_values_fp32(const float x1, const float x2, BgcVector2FP32* destination);
extern inline void bgc_vector2_set_values_fp64(const double x1, const double x2, BgcVector2FP64* destination);
extern inline void bgc_fp32_vector2_make(const float x1, const float x2, BGC_FP32_Vector2* destination);
extern inline void bgc_fp64_vector2_make(const double x1, const double x2, BGC_FP64_Vector2* destination);
extern inline float bgc_vector2_get_square_modulus_fp32(const BgcVector2FP32* vector);
extern inline double bgc_vector2_get_square_modulus_fp64(const BgcVector2FP64* vector);
extern inline float bgc_fp32_vector2_get_square_modulus(const BGC_FP32_Vector2* vector);
extern inline double bgc_fp64_vector2_get_square_modulus(const BGC_FP64_Vector2* vector);
extern inline float bgc_vector2_get_modulus_fp32(const BgcVector2FP32* vector);
extern inline double bgc_vector2_get_modulus_fp64(const BgcVector2FP64* vector);
extern inline float bgc_fp32_vector2_get_modulus(const BGC_FP32_Vector2* vector);
extern inline double bgc_fp64_vector2_get_modulus(const BGC_FP64_Vector2* vector);
extern inline int bgc_vector2_is_zero_fp32(const BgcVector2FP32* vector);
extern inline int bgc_vector2_is_zero_fp64(const BgcVector2FP64* vector);
extern inline int bgc_fp32_vector2_is_zero(const BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_is_zero(const BGC_FP64_Vector2* vector);
extern inline int bgc_vector2_is_unit_fp32(const BgcVector2FP32* vector);
extern inline int bgc_vector2_is_unit_fp64(const BgcVector2FP64* vector);
extern inline int bgc_fp32_vector2_is_unit(const BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_is_unit(const BGC_FP64_Vector2* vector);
extern inline void bgc_vector2_copy_fp32(const BgcVector2FP32* source, BgcVector2FP32* destination);
extern inline void bgc_vector2_copy_fp64(const BgcVector2FP64* source, BgcVector2FP64* destination);
extern inline void bgc_fp32_vector2_copy(const BGC_FP32_Vector2* source, BGC_FP32_Vector2* destination);
extern inline void bgc_fp64_vector2_copy(const BGC_FP64_Vector2* source, BGC_FP64_Vector2* destination);
extern inline void bgc_vector2_swap_fp32(BgcVector2FP32* vector1, BgcVector2FP32* vector2);
extern inline void bgc_vector2_swap_fp64(BgcVector2FP64* vector1, BgcVector2FP64* vector2);
extern inline void bgc_fp32_vector2_swap(BGC_FP32_Vector2* vector1, BGC_FP32_Vector2* vector2);
extern inline void bgc_fp64_vector2_swap(BGC_FP64_Vector2* vector1, BGC_FP64_Vector2* vector2);
extern inline void bgc_vector2_convert_fp64_to_fp32(const BgcVector2FP64* source, BgcVector2FP32* destination);
extern inline void bgc_vector2_convert_fp32_to_fp64(const BgcVector2FP32* source, BgcVector2FP64* destination);
extern inline void bgc_fp64_vector2_convert_to_fp32(const BGC_FP64_Vector2* source, BGC_FP32_Vector2* destination);
extern inline void bgc_fp32_vector2_convert_to_fp64(const BGC_FP32_Vector2* source, BGC_FP64_Vector2* destination);
extern inline void bgc_vector2_add_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* sum);
extern inline void bgc_vector2_add_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* sum);
extern inline void bgc_fp32_vector2_add(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* sum);
extern inline void bgc_fp64_vector2_add(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* sum);
extern inline void bgc_vector2_add_scaled_fp32(const BgcVector2FP32* basic_vector, const BgcVector2FP32* scalable_vector, const float scale, BgcVector2FP32* sum);
extern inline void bgc_vector2_add_scaled_fp64(const BgcVector2FP64* basic_vector, const BgcVector2FP64* scalable_vector, const double scale, BgcVector2FP64* sum);
extern inline void bgc_fp32_vector2_add_scaled(const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale, BGC_FP32_Vector2* sum);
extern inline void bgc_fp64_vector2_add_scaled(const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale, BGC_FP64_Vector2* sum);
extern inline void bgc_vector2_subtract_fp32(const BgcVector2FP32* minuend, const BgcVector2FP32* subtrahend, BgcVector2FP32* difference);
extern inline void bgc_vector2_subtract_fp64(const BgcVector2FP64* minuend, const BgcVector2FP64* subtrahend, BgcVector2FP64* difference);
extern inline void bgc_fp32_vector2_subtract(const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend, BGC_FP32_Vector2* difference);
extern inline void bgc_fp64_vector2_subtract(const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend, BGC_FP64_Vector2* difference);
extern inline void bgc_vector2_multiply_fp32(const BgcVector2FP32* multiplicand, const float multiplier, BgcVector2FP32* product);
extern inline void bgc_vector2_multiply_fp64(const BgcVector2FP64* multiplicand, const double multiplier, BgcVector2FP64* product);
extern inline void bgc_fp32_vector2_multiply(const BGC_FP32_Vector2* multiplicand, const float multiplier, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_vector2_multiply(const BGC_FP64_Vector2* multiplicand, const double multiplier, BGC_FP64_Vector2* product);
extern inline void bgc_vector2_divide_fp32(const BgcVector2FP32* dividend, const float divisor, BgcVector2FP32* quotient);
extern inline void bgc_vector2_divide_fp64(const BgcVector2FP64* dividend, const double divisor, BgcVector2FP64* quotient);
extern inline void bgc_fp32_vector2_divide(const BGC_FP32_Vector2* dividend, const float divisor, BGC_FP32_Vector2* quotient);
extern inline void bgc_fp64_vector2_divide(const BGC_FP64_Vector2* dividend, const double divisor, BGC_FP64_Vector2* quotient);
extern inline void bgc_vector2_get_mean_of_two_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* mean);
extern inline void bgc_vector2_get_mean_of_two_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* mean);
extern inline void bgc_fp32_vector2_get_middle2(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* middle);
extern inline void bgc_fp64_vector2_get_middle2(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* middle);
extern inline void bgc_vector2_get_mean_of_three_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcVector2FP32* vector3, BgcVector2FP32* mean);
extern inline void bgc_vector2_get_mean_of_three_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcVector2FP64* vector3, BgcVector2FP64* mean);
extern inline void bgc_fp32_vector2_get_middle3(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3, BGC_FP32_Vector2* middle);
extern inline void bgc_fp64_vector2_get_middle3(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3, BGC_FP64_Vector2* middle);
extern inline void bgc_vector2_interpolate_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const float phase, BgcVector2FP32* interpolation);
extern inline void bgc_vector2_interpolate_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const double phase, BgcVector2FP64* interpolation);
extern inline void bgc_fp32_vector2_interpolate(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase, BGC_FP32_Vector2* interpolation);
extern inline void bgc_fp64_vector2_interpolate(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase, BGC_FP64_Vector2* interpolation);
extern inline void bgc_vector2_make_opposite_fp32(BgcVector2FP32* vector);
extern inline void bgc_vector2_make_opposite_fp64(BgcVector2FP64* vector);
extern inline void bgc_fp32_vector2_revert(BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_vector2_revert(BGC_FP64_Vector2* vector);
extern inline void bgc_vector2_get_opposite_fp32(const BgcVector2FP32* vector, BgcVector2FP32* opposite);
extern inline void bgc_vector2_get_opposite_fp64(const BgcVector2FP64* vector, BgcVector2FP64* opposite);
extern inline void bgc_fp32_vector2_get_reverse(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* reverse);
extern inline void bgc_fp64_vector2_get_reverse(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* reverse);
extern inline int bgc_vector2_normalize_fp32(BgcVector2FP32* vector);
extern inline int bgc_vector2_normalize_fp64(BgcVector2FP64* vector);
extern inline int bgc_fp32_vector2_normalize(BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_normalize(BGC_FP64_Vector2* vector);
extern inline int bgc_vector2_get_normalized_fp32(const BgcVector2FP32* vector, BgcVector2FP32* normalized);
extern inline int bgc_vector2_get_normalized_fp64(const BgcVector2FP64* vector, BgcVector2FP64* normalized);
extern inline int bgc_fp32_vector2_get_normalized(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* normalized);
extern inline int bgc_fp64_vector2_get_normalized(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* normalized);
extern inline float bgc_vector2_get_scalar_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline double bgc_vector2_get_scalar_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline float bgc_fp32_vector2_get_dot_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_dot_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_vector2_get_cross_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline double bgc_vector2_get_cross_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline float bgc_fp32_vector2_get_cross_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_cross_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_vector2_get_square_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline double bgc_vector2_get_square_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline float bgc_fp32_vector2_get_square_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_square_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_vector2_get_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline double bgc_vector2_get_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline float bgc_fp32_vector2_get_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_vector2_are_close_enough_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const float distance);
extern inline int bgc_vector2_are_close_enough_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const double distance);
extern inline int bgc_fp32_vector2_are_close_enough(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float distance);
extern inline int bgc_fp64_vector2_are_close_enough(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double distance);
extern inline int bgc_vector2_are_close_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline int bgc_vector2_are_close_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline int bgc_fp32_vector2_are_close(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_close(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_vector2_are_parallel_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline int bgc_vector2_are_parallel_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline int bgc_fp32_vector2_are_parallel(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_parallel(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_vector2_are_orthogonal_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline int bgc_vector2_are_orthogonal_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline int bgc_fp32_vector2_are_orthogonal(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_orthogonal(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_vector2_get_attitude_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
extern inline int bgc_vector2_get_attitude_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
extern inline int bgc_fp32_vector2_get_attitude(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_get_attitude(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
// =================== Angle ==================== //
float bgc_vector2_get_angle_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcAngleUnitEnum unit)
float bgc_fp32_vector2_get_angle(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const int angle_unit)
{
const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1);
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus1 != square_modulus1) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0f;
}
const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2);
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 != square_modulus2) {
if (square_modulus2 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0f;
}
const float multiplier = sqrtf(1.0f / (square_modulus1 * square_modulus2));
const float x = bgc_vector2_get_scalar_product_fp32(vector1, vector2);
const float x = bgc_fp32_vector2_get_dot_product(vector1, vector2);
const float y = fabsf(bgc_vector2_get_cross_product_fp32(vector1, vector2));
const float y = fabsf(bgc_fp32_vector2_get_cross_product(vector1, vector2));
return bgc_radians_to_units_fp32(atan2f(y * multiplier, x * multiplier), unit);
return bgc_fp32_radians_to_units(atan2f(y * multiplier, x * multiplier), angle_unit);
}
double bgc_vector2_get_angle_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcAngleUnitEnum unit)
double bgc_fp64_vector2_get_angle(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const int angle_unit)
{
const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1);
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus1 != square_modulus1) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0;
}
const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2);
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 != square_modulus2) {
if (square_modulus2 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0;
}
const double multiplier = sqrt(1.0 / (square_modulus1 * square_modulus2));
const double x = bgc_vector2_get_scalar_product_fp64(vector1, vector2);
const double x = bgc_fp64_vector2_get_dot_product(vector1, vector2);
const double y = bgc_vector2_get_cross_product_fp64(vector1, vector2);
const double y = bgc_fp64_vector2_get_cross_product(vector1, vector2);
return bgc_radians_to_units_fp64(atan2(y * multiplier, x * multiplier), unit);
return bgc_fp64_radians_to_units(atan2(y * multiplier, x * multiplier), angle_unit);
}

View file

@ -9,22 +9,22 @@
typedef struct
{
float x1, x2;
} BgcVector2FP32;
} BGC_FP32_Vector2;
typedef struct
{
double x1, x2;
} BgcVector2FP64;
} BGC_FP64_Vector2;
// =================== Reset ==================== //
inline void bgc_vector2_reset_fp32(BgcVector2FP32* vector)
inline void bgc_fp32_vector2_reset(BGC_FP32_Vector2* vector)
{
vector->x1 = 0.0f;
vector->x2 = 0.0f;
}
inline void bgc_vector2_reset_fp64(BgcVector2FP64* vector)
inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* vector)
{
vector->x1 = 0.0;
vector->x2 = 0.0;
@ -32,13 +32,13 @@ inline void bgc_vector2_reset_fp64(BgcVector2FP64* vector)
// ==================== Set ===================== //
inline void bgc_vector2_set_values_fp32(const float x1, const float x2, BgcVector2FP32* destination)
inline void bgc_fp32_vector2_make(const float x1, const float x2, BGC_FP32_Vector2* destination)
{
destination->x1 = x1;
destination->x2 = x2;
}
inline void bgc_vector2_set_values_fp64(const double x1, const double x2, BgcVector2FP64* destination)
inline void bgc_fp64_vector2_make(const double x1, const double x2, BGC_FP64_Vector2* destination)
{
destination->x1 = x1;
destination->x2 = x2;
@ -46,57 +46,57 @@ inline void bgc_vector2_set_values_fp64(const double x1, const double x2, BgcVec
// ================== Modulus =================== //
inline float bgc_vector2_get_square_modulus_fp32(const BgcVector2FP32* vector)
inline float bgc_fp32_vector2_get_square_modulus(const BGC_FP32_Vector2* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2;
}
inline double bgc_vector2_get_square_modulus_fp64(const BgcVector2FP64* vector)
inline double bgc_fp64_vector2_get_square_modulus(const BGC_FP64_Vector2* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2;
}
inline float bgc_vector2_get_modulus_fp32(const BgcVector2FP32* vector)
inline float bgc_fp32_vector2_get_modulus(const BGC_FP32_Vector2* vector)
{
return sqrtf(bgc_vector2_get_square_modulus_fp32(vector));
return sqrtf(bgc_fp32_vector2_get_square_modulus(vector));
}
inline double bgc_vector2_get_modulus_fp64(const BgcVector2FP64* vector)
inline double bgc_fp64_vector2_get_modulus(const BGC_FP64_Vector2* vector)
{
return sqrt(bgc_vector2_get_square_modulus_fp64(vector));
return sqrt(bgc_fp64_vector2_get_square_modulus(vector));
}
// ================= Comparison ================= //
inline int bgc_vector2_is_zero_fp32(const BgcVector2FP32* vector)
inline int bgc_fp32_vector2_is_zero(const BGC_FP32_Vector2* vector)
{
return bgc_vector2_get_square_modulus_fp32(vector) <= BGC_SQUARE_EPSYLON_FP32;
return bgc_fp32_vector2_get_square_modulus(vector) <= BGC_FP32_SQUARE_EPSYLON;
}
inline int bgc_vector2_is_zero_fp64(const BgcVector2FP64* vector)
inline int bgc_fp64_vector2_is_zero(const BGC_FP64_Vector2* vector)
{
return bgc_vector2_get_square_modulus_fp64(vector) <= BGC_SQUARE_EPSYLON_FP64;
return bgc_fp64_vector2_get_square_modulus(vector) <= BGC_FP64_SQUARE_EPSYLON;
}
inline int bgc_vector2_is_unit_fp32(const BgcVector2FP32* vector)
inline int bgc_fp32_vector2_is_unit(const BGC_FP32_Vector2* vector)
{
return bgc_is_sqare_unit_fp32(bgc_vector2_get_square_modulus_fp32(vector));
return bgc_fp32_is_square_unit(bgc_fp32_vector2_get_square_modulus(vector));
}
inline int bgc_vector2_is_unit_fp64(const BgcVector2FP64* vector)
inline int bgc_fp64_vector2_is_unit(const BGC_FP64_Vector2* vector)
{
return bgc_is_sqare_unit_fp64(bgc_vector2_get_square_modulus_fp64(vector));
return bgc_fp64_is_square_unit(bgc_fp64_vector2_get_square_modulus(vector));
}
// ==================== Copy ==================== //
inline void bgc_vector2_copy_fp32(const BgcVector2FP32* source, BgcVector2FP32* destination)
inline void bgc_fp32_vector2_copy(const BGC_FP32_Vector2* source, BGC_FP32_Vector2* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
}
inline void bgc_vector2_copy_fp64(const BgcVector2FP64* source, BgcVector2FP64* destination)
inline void bgc_fp64_vector2_copy(const BGC_FP64_Vector2* source, BGC_FP64_Vector2* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
@ -104,7 +104,7 @@ inline void bgc_vector2_copy_fp64(const BgcVector2FP64* source, BgcVector2FP64*
// ==================== Swap ==================== //
inline void bgc_vector2_swap_fp32(BgcVector2FP32* vector1, BgcVector2FP32* vector2)
inline void bgc_fp32_vector2_swap(BGC_FP32_Vector2* vector1, BGC_FP32_Vector2* vector2)
{
const float x1 = vector2->x1;
const float x2 = vector2->x2;
@ -116,7 +116,7 @@ inline void bgc_vector2_swap_fp32(BgcVector2FP32* vector1, BgcVector2FP32* vecto
vector1->x2 = x2;
}
inline void bgc_vector2_swap_fp64(BgcVector2FP64* vector1, BgcVector2FP64* vector2)
inline void bgc_fp64_vector2_swap(BGC_FP64_Vector2* vector1, BGC_FP64_Vector2* vector2)
{
const double x1 = vector2->x1;
const double x2 = vector2->x2;
@ -130,13 +130,13 @@ inline void bgc_vector2_swap_fp64(BgcVector2FP64* vector1, BgcVector2FP64* vecto
// ================== Convert =================== //
inline void bgc_vector2_convert_fp64_to_fp32(const BgcVector2FP64* source, BgcVector2FP32* destination)
inline void bgc_fp64_vector2_convert_to_fp32(const BGC_FP64_Vector2* source, BGC_FP32_Vector2* destination)
{
destination->x1 = (float)source->x1;
destination->x2 = (float)source->x2;
}
inline void bgc_vector2_convert_fp32_to_fp64(const BgcVector2FP32* source, BgcVector2FP64* destination)
inline void bgc_fp32_vector2_convert_to_fp64(const BGC_FP32_Vector2* source, BGC_FP64_Vector2* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
@ -144,13 +144,13 @@ inline void bgc_vector2_convert_fp32_to_fp64(const BgcVector2FP32* source, BgcVe
// ==================== Add ===================== //
inline void bgc_vector2_add_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* sum)
inline void bgc_fp32_vector2_add(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
}
inline void bgc_vector2_add_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* sum)
inline void bgc_fp64_vector2_add(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
@ -158,13 +158,13 @@ inline void bgc_vector2_add_fp64(const BgcVector2FP64* vector1, const BgcVector2
// ================= Add scaled ================= //
inline void bgc_vector2_add_scaled_fp32(const BgcVector2FP32* basic_vector, const BgcVector2FP32* scalable_vector, const float scale, BgcVector2FP32* sum)
inline void bgc_fp32_vector2_add_scaled(const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale, BGC_FP32_Vector2* sum)
{
sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
}
inline void bgc_vector2_add_scaled_fp64(const BgcVector2FP64* basic_vector, const BgcVector2FP64* scalable_vector, const double scale, BgcVector2FP64* sum)
inline void bgc_fp64_vector2_add_scaled(const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale, BGC_FP64_Vector2* sum)
{
sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
@ -172,13 +172,13 @@ inline void bgc_vector2_add_scaled_fp64(const BgcVector2FP64* basic_vector, cons
// ================== Subtract ================== //
inline void bgc_vector2_subtract_fp32(const BgcVector2FP32* minuend, const BgcVector2FP32* subtrahend, BgcVector2FP32* difference)
inline void bgc_fp32_vector2_subtract(const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend, BGC_FP32_Vector2* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
}
inline void bgc_vector2_subtract_fp64(const BgcVector2FP64* minuend, const BgcVector2FP64* subtrahend, BgcVector2FP64* difference)
inline void bgc_fp64_vector2_subtract(const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend, BGC_FP64_Vector2* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
@ -186,13 +186,13 @@ inline void bgc_vector2_subtract_fp64(const BgcVector2FP64* minuend, const BgcVe
// ================== Multiply ================== //
inline void bgc_vector2_multiply_fp32(const BgcVector2FP32* multiplicand, const float multiplier, BgcVector2FP32* product)
inline void bgc_fp32_vector2_multiply(const BGC_FP32_Vector2* multiplicand, const float multiplier, BGC_FP32_Vector2* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
}
inline void bgc_vector2_multiply_fp64(const BgcVector2FP64* multiplicand, const double multiplier, BgcVector2FP64* product)
inline void bgc_fp64_vector2_multiply(const BGC_FP64_Vector2* multiplicand, const double multiplier, BGC_FP64_Vector2* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
@ -200,99 +200,99 @@ inline void bgc_vector2_multiply_fp64(const BgcVector2FP64* multiplicand, const
// =================== Divide =================== //
inline void bgc_vector2_divide_fp32(const BgcVector2FP32* dividend, const float divisor, BgcVector2FP32* quotient)
inline void bgc_fp32_vector2_divide(const BGC_FP32_Vector2* dividend, const float divisor, BGC_FP32_Vector2* quotient)
{
bgc_vector2_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_vector2_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_vector2_divide_fp64(const BgcVector2FP64* dividend, const double divisor, BgcVector2FP64* quotient)
inline void bgc_fp64_vector2_divide(const BGC_FP64_Vector2* dividend, const double divisor, BGC_FP64_Vector2* quotient)
{
bgc_vector2_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_vector2_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Mean of Two ================= //
inline void bgc_vector2_get_mean_of_two_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* mean)
inline void bgc_fp32_vector2_get_middle2(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* middle)
{
mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
middle->x1 = (vector1->x1 + vector2->x1) * 0.5f;
middle->x2 = (vector1->x2 + vector2->x2) * 0.5f;
}
inline void bgc_vector2_get_mean_of_two_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* mean)
inline void bgc_fp64_vector2_get_middle2(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* middle)
{
mean->x1 = (vector1->x1 + vector2->x1) * 0.5;
mean->x2 = (vector1->x2 + vector2->x2) * 0.5;
middle->x1 = (vector1->x1 + vector2->x1) * 0.5;
middle->x2 = (vector1->x2 + vector2->x2) * 0.5;
}
// =============== Mean of Three ================ //
inline void bgc_vector2_get_mean_of_three_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcVector2FP32* vector3, BgcVector2FP32* mean)
inline void bgc_fp32_vector2_get_middle3(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3, BGC_FP32_Vector2* middle)
{
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP32;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP32;
middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
}
inline void bgc_vector2_get_mean_of_three_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcVector2FP64* vector3, BgcVector2FP64* mean)
inline void bgc_fp64_vector2_get_middle3(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3, BGC_FP64_Vector2* middle)
{
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP64;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP64;
middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
}
// =================== Linear =================== //
inline void bgc_vector2_interpolate_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const float phase, BgcVector2FP32* interpolation)
inline void bgc_fp32_vector2_interpolate(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase, BGC_FP32_Vector2* interpolation)
{
const float counterphase = 1.0f - phase;
const float counter_phase = 1.0f - phase;
interpolation->x1 = vector1->x1 * counterphase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counterphase + vector2->x2 * phase;
interpolation->x1 = vector1->x1 * counter_phase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counter_phase + vector2->x2 * phase;
}
inline void bgc_vector2_interpolate_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const double phase, BgcVector2FP64* interpolation)
inline void bgc_fp64_vector2_interpolate(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase, BGC_FP64_Vector2* interpolation)
{
const double counterphase = 1.0 - phase;
const double counter_phase = 1.0 - phase;
interpolation->x1 = vector1->x1 * counterphase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counterphase + vector2->x2 * phase;
interpolation->x1 = vector1->x1 * counter_phase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counter_phase + vector2->x2 * phase;
}
// ================== Negative ================== //
inline void bgc_vector2_make_opposite_fp32(BgcVector2FP32* vector)
inline void bgc_fp32_vector2_revert(BGC_FP32_Vector2* vector)
{
vector->x1 = -vector->x1;
vector->x2 = -vector->x2;
}
inline void bgc_vector2_make_opposite_fp64(BgcVector2FP64* vector)
inline void bgc_fp64_vector2_revert(BGC_FP64_Vector2* vector)
{
vector->x1 = -vector->x1;
vector->x2 = -vector->x2;
}
inline void bgc_vector2_get_opposite_fp32(const BgcVector2FP32* vector, BgcVector2FP32* opposite)
inline void bgc_fp32_vector2_get_reverse(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* reverse)
{
opposite->x1 = -vector->x1;
opposite->x2 = -vector->x2;
reverse->x1 = -vector->x1;
reverse->x2 = -vector->x2;
}
inline void bgc_vector2_get_opposite_fp64(const BgcVector2FP64* vector, BgcVector2FP64* opposite)
inline void bgc_fp64_vector2_get_reverse(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* reverse)
{
opposite->x1 = -vector->x1;
opposite->x2 = -vector->x2;
reverse->x1 = -vector->x1;
reverse->x2 = -vector->x2;
}
// ================= Normalize ================== //
inline int bgc_vector2_normalize_fp32(BgcVector2FP32* vector)
inline int bgc_fp32_vector2_normalize(BGC_FP32_Vector2* vector)
{
const float square_modulus = bgc_vector2_get_square_modulus_fp32(vector);
const float square_modulus = bgc_fp32_vector2_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
if (bgc_fp32_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -304,15 +304,15 @@ inline int bgc_vector2_normalize_fp32(BgcVector2FP32* vector)
return 1;
}
inline int bgc_vector2_normalize_fp64(BgcVector2FP64* vector)
inline int bgc_fp64_vector2_normalize(BGC_FP64_Vector2* vector)
{
const double square_modulus = bgc_vector2_get_square_modulus_fp64(vector);
const double square_modulus = bgc_fp64_vector2_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
if (bgc_fp64_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -324,75 +324,75 @@ inline int bgc_vector2_normalize_fp64(BgcVector2FP64* vector)
return 1;
}
inline int bgc_vector2_get_normalized_fp32(const BgcVector2FP32* vector, BgcVector2FP32* normalized)
inline int bgc_fp32_vector2_get_normalized(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* normalized)
{
const float square_modulus = bgc_vector2_get_square_modulus_fp32(vector);
const float square_modulus = bgc_fp32_vector2_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
bgc_vector2_copy_fp32(vector, normalized);
if (bgc_fp32_is_square_unit(square_modulus)) {
bgc_fp32_vector2_copy(vector, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
bgc_vector2_reset_fp32(normalized);
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp32_vector2_reset(normalized);
return 0;
}
bgc_vector2_multiply_fp32(vector, sqrtf(1.0f / square_modulus), normalized);
bgc_fp32_vector2_multiply(vector, sqrtf(1.0f / square_modulus), normalized);
return 1;
}
inline int bgc_vector2_get_normalized_fp64(const BgcVector2FP64* vector, BgcVector2FP64* normalized)
inline int bgc_fp64_vector2_get_normalized(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* normalized)
{
const double square_modulus = bgc_vector2_get_square_modulus_fp64(vector);
const double square_modulus = bgc_fp64_vector2_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
bgc_vector2_copy_fp64(vector, normalized);
if (bgc_fp64_is_square_unit(square_modulus)) {
bgc_fp64_vector2_copy(vector, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
bgc_vector2_reset_fp64(normalized);
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp64_vector2_reset(normalized);
return 0;
}
bgc_vector2_multiply_fp64(vector, sqrt(1.0 / square_modulus), normalized);
bgc_fp64_vector2_multiply(vector, sqrt(1.0 / square_modulus), normalized);
return 1;
}
// ============= Get Scalar Product ============= //
inline float bgc_vector2_get_scalar_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline float bgc_fp32_vector2_get_dot_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
}
inline double bgc_vector2_get_scalar_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline double bgc_fp64_vector2_get_dot_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
}
// ============= Get Cross Product ============== //
inline float bgc_vector2_get_cross_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline float bgc_fp32_vector2_get_cross_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
}
inline double bgc_vector2_get_cross_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline double bgc_fp64_vector2_get_cross_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
}
// ================= Get Angle ================== //
float bgc_vector2_get_angle_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcAngleUnitEnum unit);
float bgc_fp32_vector2_get_angle(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const int angle_unit);
double bgc_vector2_get_angle_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcAngleUnitEnum unit);
double bgc_fp64_vector2_get_angle(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const int angle_unit);
// ============= Get Square Distance ============ //
inline float bgc_vector2_get_square_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline float bgc_fp32_vector2_get_square_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
const float dx1 = vector1->x1 - vector2->x1;
const float dx2 = vector1->x2 - vector2->x2;
@ -400,7 +400,7 @@ inline float bgc_vector2_get_square_distance_fp32(const BgcVector2FP32* vector1,
return dx1 * dx1 + dx2 * dx2;
}
inline double bgc_vector2_get_square_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline double bgc_fp64_vector2_get_square_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
const double dx1 = vector1->x1 - vector2->x1;
const double dx2 = vector1->x2 - vector2->x2;
@ -410,158 +410,158 @@ inline double bgc_vector2_get_square_distance_fp64(const BgcVector2FP64* vector1
// ================== Distance ================== //
inline float bgc_vector2_get_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline float bgc_fp32_vector2_get_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
return sqrtf(bgc_vector2_get_square_distance_fp32(vector1, vector2));
return sqrtf(bgc_fp32_vector2_get_square_distance(vector1, vector2));
}
inline double bgc_vector2_get_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline double bgc_fp64_vector2_get_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
return sqrt(bgc_vector2_get_square_distance_fp64(vector1, vector2));
return sqrt(bgc_fp64_vector2_get_square_distance(vector1, vector2));
}
// ============== Are Close Enough ============== //
inline int bgc_vector2_are_close_enough_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const float distance_limit)
inline int bgc_fp32_vector2_are_close_enough(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float distance_limit)
{
return bgc_vector2_get_square_distance_fp32(vector1, vector2) <= distance_limit * distance_limit;
return bgc_fp32_vector2_get_square_distance(vector1, vector2) <= distance_limit * distance_limit;
}
inline int bgc_vector2_are_close_enough_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const double distance_limit)
inline int bgc_fp64_vector2_are_close_enough(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double distance_limit)
{
return bgc_vector2_get_square_distance_fp64(vector1, vector2) <= distance_limit * distance_limit;
return bgc_fp64_vector2_get_square_distance(vector1, vector2) <= distance_limit * distance_limit;
}
// ================== Are Close ================= //
inline int bgc_vector2_are_close_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline int bgc_fp32_vector2_are_close(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2);
const float square_distance = bgc_vector2_get_square_distance_fp32(vector1, vector2);
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
const float square_distance = bgc_fp32_vector2_get_square_distance(vector1, vector2);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_distance <= BGC_SQUARE_EPSYLON_FP32;
if (square_modulus1 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP32_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus2;
return square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus2;
}
inline int bgc_vector2_are_close_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline int bgc_fp64_vector2_are_close(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2);
const double square_distance = bgc_vector2_get_square_distance_fp64(vector1, vector2);
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
const double square_distance = bgc_fp64_vector2_get_square_distance(vector1, vector2);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_distance <= BGC_SQUARE_EPSYLON_FP64;
if (square_modulus1 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP64_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus2;
return square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus2;
}
// ================== Parallel ================== //
inline int bgc_vector2_are_parallel_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline int bgc_fp32_vector2_are_parallel(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1);
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2);
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
const float cross_product = bgc_vector2_get_cross_product_fp32(vector1, vector2);
const float cross_product = bgc_fp32_vector2_get_cross_product(vector1, vector2);
return cross_product * cross_product <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
return cross_product * cross_product <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
inline int bgc_vector2_are_parallel_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline int bgc_fp64_vector2_are_parallel(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1);
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2);
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
const double cross_product = bgc_vector2_get_cross_product_fp64(vector1, vector2);
const double cross_product = bgc_fp64_vector2_get_cross_product(vector1, vector2);
return cross_product * cross_product <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
return cross_product * cross_product <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
// ================= Orthogonal ================= //
inline int bgc_vector2_are_orthogonal_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline int bgc_fp32_vector2_are_orthogonal(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1);
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2);
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
const float scalar_product = bgc_vector2_get_scalar_product_fp32(vector1, vector2);
const float scalar_product = bgc_fp32_vector2_get_dot_product(vector1, vector2);
return scalar_product * scalar_product <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
return scalar_product * scalar_product <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
inline int bgc_vector2_are_orthogonal_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline int bgc_fp64_vector2_are_orthogonal(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1);
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2);
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
const double scalar_product = bgc_vector2_get_scalar_product_fp64(vector1, vector2);
const double scalar_product = bgc_fp64_vector2_get_dot_product(vector1, vector2);
return scalar_product * scalar_product <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
return scalar_product * scalar_product <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
// ================== Attitude ================== //
inline int bgc_vector2_get_attitude_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2)
inline int bgc_fp32_vector2_get_attitude(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
{
const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2);
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return BGC_ATTITUDE_ZERO;
}
const float square_limit = BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
const float square_limit = BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
const float scalar_product = bgc_vector2_get_scalar_product_fp32(vector1, vector2);
const float scalar_product = bgc_fp32_vector2_get_dot_product(vector1, vector2);
if (scalar_product * scalar_product <= square_limit) {
return BGC_ATTITUDE_ORTHOGONAL;
}
const float cross_product = bgc_vector2_get_cross_product_fp32(vector1, vector2);
const float cross_product = bgc_fp32_vector2_get_cross_product(vector1, vector2);
if (cross_product * cross_product > square_limit) {
return BGC_ATTITUDE_ANY;
@ -570,24 +570,24 @@ inline int bgc_vector2_get_attitude_fp32(const BgcVector2FP32* vector1, const Bg
return scalar_product > 0.0f ? BGC_ATTITUDE_CO_DIRECTIONAL : BGC_ATTITUDE_COUNTER_DIRECTIONAL;
}
inline int bgc_vector2_get_attitude_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2)
inline int bgc_fp64_vector2_get_attitude(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
{
const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2);
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return BGC_ATTITUDE_ZERO;
}
const double square_limit = BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
const double square_limit = BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
const double scalar_product = bgc_vector2_get_scalar_product_fp64(vector1, vector2);
const double scalar_product = bgc_fp64_vector2_get_dot_product(vector1, vector2);
if (scalar_product * scalar_product <= square_limit) {
return BGC_ATTITUDE_ORTHOGONAL;
}
const double cross_product = bgc_vector2_get_cross_product_fp64(vector1, vector2);
const double cross_product = bgc_fp64_vector2_get_cross_product(vector1, vector2);
if (cross_product * cross_product > square_limit) {
return BGC_ATTITUDE_ANY;

View file

@ -1,153 +1,153 @@
#include "vector3.h"
extern inline void bgc_vector3_reset_fp32(BgcVector3FP32* vector);
extern inline void bgc_vector3_reset_fp64(BgcVector3FP64* vector);
extern inline void bgc_fp32_vector3_reset(BGC_FP32_Vector3* vector);
extern inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* vector);
extern inline void bgc_vector3_set_values_fp32(const float x1, const float x2, const float x3, BgcVector3FP32* destination);
extern inline void bgc_vector3_set_values_fp64(const double x1, const double x2, const double x3, BgcVector3FP64* destination);
extern inline void bgc_fp32_vector3_make(const float x1, const float x2, const float x3, BGC_FP32_Vector3* destination);
extern inline void bgc_fp64_vector3_make(const double x1, const double x2, const double x3, BGC_FP64_Vector3* destination);
extern inline float bgc_vector3_get_square_modulus_fp32(const BgcVector3FP32* vector);
extern inline double bgc_vector3_get_square_modulus_fp64(const BgcVector3FP64* vector);
extern inline float bgc_fp32_vector3_get_square_modulus(const BGC_FP32_Vector3* vector);
extern inline double bgc_fp64_vector3_get_square_modulus(const BGC_FP64_Vector3* vector);
extern inline float bgc_vector3_get_modulus_fp32(const BgcVector3FP32* vector);
extern inline double bgc_vector3_get_modulus_fp64(const BgcVector3FP64* vector);
extern inline float bgc_fp32_vector3_get_modulus(const BGC_FP32_Vector3* vector);
extern inline double bgc_fp64_vector3_get_modulus(const BGC_FP64_Vector3* vector);
extern inline int bgc_vector3_is_zero_fp32(const BgcVector3FP32* vector);
extern inline int bgc_vector3_is_zero_fp64(const BgcVector3FP64* vector);
extern inline int bgc_fp32_vector3_is_zero(const BGC_FP32_Vector3* vector);
extern inline int bgc_fp64_vector3_is_zero(const BGC_FP64_Vector3* vector);
extern inline int bgc_vector3_is_unit_fp32(const BgcVector3FP32* vector);
extern inline int bgc_vector3_is_unit_fp64(const BgcVector3FP64* vector);
extern inline int bgc_fp32_vector3_is_unit(const BGC_FP32_Vector3* vector);
extern inline int bgc_fp64_vector3_is_unit(const BGC_FP64_Vector3* vector);
extern inline void bgc_vector3_copy_fp32(const BgcVector3FP32* source, BgcVector3FP32* destination);
extern inline void bgc_vector3_copy_fp64(const BgcVector3FP64* source, BgcVector3FP64* destination);
extern inline void bgc_fp32_vector3_copy(const BGC_FP32_Vector3* source, BGC_FP32_Vector3* destination);
extern inline void bgc_fp64_vector3_copy(const BGC_FP64_Vector3* source, BGC_FP64_Vector3* destination);
extern inline void bgc_vector3_convert_fp64_to_fp32(const BgcVector3FP64* source, BgcVector3FP32* destination);
extern inline void bgc_vector3_convert_fp32_to_fp64(const BgcVector3FP32* source, BgcVector3FP64* destination);
extern inline void bgc_fp32_vector3_convert_to_fp64(const BGC_FP32_Vector3* source, BGC_FP64_Vector3* destination);
extern inline void bgc_fp64_vector3_convert_to_fp32(const BGC_FP64_Vector3* source, BGC_FP32_Vector3* destination);
extern inline void bgc_vector3_swap_fp32(BgcVector3FP32* vector1, BgcVector3FP32* vector2);
extern inline void bgc_vector3_swap_fp64(BgcVector3FP64* vector1, BgcVector3FP64* vector2);
extern inline void bgc_fp32_vector3_swap(BGC_FP32_Vector3* vector1, BGC_FP32_Vector3* vector2);
extern inline void bgc_fp64_vector3_swap(BGC_FP64_Vector3* vector1, BGC_FP64_Vector3* vector2);
extern inline void bgc_vector3_add_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* sum);
extern inline void bgc_vector3_add_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* sum);
extern inline void bgc_fp32_vector3_add(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* sum);
extern inline void bgc_fp64_vector3_add(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* sum);
extern inline void bgc_vector3_add_scaled_fp32(const BgcVector3FP32* basic_vector, const BgcVector3FP32* scalable_vector, const float scale, BgcVector3FP32* sum);
extern inline void bgc_vector3_add_scaled_fp64(const BgcVector3FP64* basic_vector, const BgcVector3FP64* scalable_vector, const double scale, BgcVector3FP64* sum);
extern inline void bgc_fp32_vector3_add_scaled(const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale, BGC_FP32_Vector3* sum);
extern inline void bgc_fp64_vector3_add_scaled(const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale, BGC_FP64_Vector3* sum);
extern inline void bgc_vector3_subtract_fp32(const BgcVector3FP32* minuend, const BgcVector3FP32* subtrahend, BgcVector3FP32* difference);
extern inline void bgc_vector3_subtract_fp64(const BgcVector3FP64* minuend, const BgcVector3FP64* subtrahend, BgcVector3FP64* difference);
extern inline void bgc_fp32_vector3_subtract(const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend, BGC_FP32_Vector3* difference);
extern inline void bgc_fp64_vector3_subtract(const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend, BGC_FP64_Vector3* difference);
extern inline void bgc_vector3_multiply_fp32(const BgcVector3FP32* multiplicand, const float multiplier, BgcVector3FP32* product);
extern inline void bgc_vector3_multiply_fp64(const BgcVector3FP64* multiplicand, const double multiplier, BgcVector3FP64* product);
extern inline void bgc_fp32_vector3_multiply(const BGC_FP32_Vector3* multiplicand, const float multiplier, BGC_FP32_Vector3* product);
extern inline void bgc_fp64_vector3_multiply(const BGC_FP64_Vector3* multiplicand, const double multiplier, BGC_FP64_Vector3* product);
extern inline void bgc_vector3_divide_fp32(const BgcVector3FP32* dividend, const float divisor, BgcVector3FP32* quotient);
extern inline void bgc_vector3_divide_fp64(const BgcVector3FP64* dividend, const double divisor, BgcVector3FP64* quotient);
extern inline void bgc_fp32_vector3_divide(const BGC_FP32_Vector3* dividend, const float divisor, BGC_FP32_Vector3* quotient);
extern inline void bgc_fp64_vector3_divide(const BGC_FP64_Vector3* dividend, const double divisor, BGC_FP64_Vector3* quotient);
extern inline void bgc_vector3_get_mean_of_two_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* result);
extern inline void bgc_vector3_get_mean_of_two_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* result);
extern inline void bgc_fp32_vector3_get_middle2(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* middle);
extern inline void bgc_fp64_vector3_get_middle2(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* middle);
extern inline void bgc_vector3_get_mean_of_three_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3, BgcVector3FP32* result);
extern inline void bgc_vector3_get_mean_of_three_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3, BgcVector3FP64* result);
extern inline void bgc_fp32_vector3_get_middle3(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* middle);
extern inline void bgc_fp64_vector3_get_middle3(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* middle);
extern inline void bgc_vector3_interpolate_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const float phase, BgcVector3FP32* interpolation);
extern inline void bgc_vector3_interpolate_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const double phase, BgcVector3FP64* interpolation);
extern inline void bgc_fp32_vector3_interpolate(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase, BGC_FP32_Vector3* interpolation);
extern inline void bgc_fp64_vector3_interpolate(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase, BGC_FP64_Vector3* interpolation);
extern inline void bgc_vector3_make_opposite_fp32(BgcVector3FP32* vector);
extern inline void bgc_vector3_make_opposite_fp64(BgcVector3FP64* vector);
extern inline void bgc_fp32_vector3_revert(BGC_FP32_Vector3* vector);
extern inline void bgc_fp64_vector3_revert(BGC_FP64_Vector3* vector);
extern inline void bgc_vector3_get_opposite_fp32(const BgcVector3FP32* vector, BgcVector3FP32* opposite);
extern inline void bgc_vector3_get_opposite_fp64(const BgcVector3FP64* vector, BgcVector3FP64* opposite);
extern inline void bgc_fp32_vector3_get_reverse(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* reverse);
extern inline void bgc_fp64_vector3_get_reverse(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* reverse);
extern inline int bgc_vector3_normalize_fp32(BgcVector3FP32* vector);
extern inline int bgc_vector3_normalize_fp64(BgcVector3FP64* vector);
extern inline int bgc_fp32_vector3_normalize(BGC_FP32_Vector3* vector);
extern inline int bgc_fp64_vector3_normalize(BGC_FP64_Vector3* vector);
extern inline int bgc_vector3_get_normalized_fp32(const BgcVector3FP32* vector, BgcVector3FP32* normalized);
extern inline int bgc_vector3_get_normalized_fp64(const BgcVector3FP64* vector, BgcVector3FP64* normalized);
extern inline int bgc_fp32_vector3_get_normalized(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* normalized);
extern inline int bgc_fp64_vector3_get_normalized(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* normalized);
extern inline float bgc_vector3_get_scalar_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline double bgc_vector3_get_scalar_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline float bgc_fp32_vector3_get_dot_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline double bgc_fp64_vector3_get_dot_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline float bgc_vector3_get_triple_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3);
extern inline double bgc_vector3_get_triple_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3);
extern inline float bgc_fp32_vector3_get_triple_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3);
extern inline double bgc_fp64_vector3_get_triple_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3);
extern inline void bgc_vector3_get_cross_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* result);
extern inline void bgc_vector3_get_cross_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* result);
extern inline void bgc_fp32_vector3_get_cross_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_vector3_get_cross_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* result);
extern inline void bgc_vector3_get_double_cross_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3, BgcVector3FP32* result);
extern inline void bgc_vector3_get_double_cross_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3, BgcVector3FP64* result);
extern inline void bgc_fp32_vector3_get_double_cross(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_vector3_get_double_cross(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* result);
extern inline float bgc_vector3_get_square_distance_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline double bgc_vector3_get_square_distance_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline float bgc_fp32_vector3_get_square_distance(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline double bgc_fp64_vector3_get_square_distance(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline float bgc_vector3_get_distance_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline double bgc_vector3_get_distance_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline float bgc_fp32_vector3_get_distance(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline double bgc_fp64_vector3_get_distance(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline int bgc_vector3_are_close_enough_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const float distance);
extern inline int bgc_vector3_are_close_enough_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const double distance);
extern inline int bgc_fp32_vector3_are_close_enough(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float distance);
extern inline int bgc_fp64_vector3_are_close_enough(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double distance);
extern inline int bgc_vector3_are_close_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline int bgc_vector3_are_close_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline int bgc_fp32_vector3_are_close(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline int bgc_fp64_vector3_are_close(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline int bgc_vector3_are_parallel_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline int bgc_vector3_are_parallel_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline int bgc_fp32_vector3_are_parallel(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline int bgc_fp64_vector3_are_parallel(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline int bgc_vector3_are_orthogonal_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline int bgc_vector3_are_orthogonal_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline int bgc_fp32_vector3_are_orthogonal(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline int bgc_fp64_vector3_are_orthogonal(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
extern inline int bgc_vector3_get_attitude_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2);
extern inline int bgc_vector3_get_attitude_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2);
extern inline int bgc_fp32_vector3_get_attitude(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
extern inline int bgc_fp64_vector3_get_attitude(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
// =================== Angle ==================== //
float bgc_vector3_get_angle_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcAngleUnitEnum angle_unit)
float bgc_fp32_vector3_get_angle(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const int angle_unit)
{
const float square_modulus1 = bgc_vector3_get_square_modulus_fp32(vector1);
const float square_modulus1 = bgc_fp32_vector3_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus1 != square_modulus1) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0f;
}
const float square_modulus2 = bgc_vector3_get_square_modulus_fp32(vector2);
const float square_modulus2 = bgc_fp32_vector3_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 != square_modulus2) {
if (square_modulus2 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0f;
}
BgcVector3FP32 cross_product;
BGC_FP32_Vector3 cross_product;
bgc_vector3_get_cross_product_fp32(vector1, vector2, &cross_product);
bgc_fp32_vector3_get_cross_product(vector1, vector2, &cross_product);
const float scalar = bgc_vector3_get_scalar_product_fp32(vector1, vector2);
const float scalar = bgc_fp32_vector3_get_dot_product(vector1, vector2);
const float cross = bgc_vector3_get_modulus_fp32(&cross_product);
const float cross = bgc_fp32_vector3_get_modulus(&cross_product);
return bgc_radians_to_units_fp32(atan2f(cross, scalar), angle_unit);
return bgc_fp32_radians_to_units(atan2f(cross, scalar), angle_unit);
}
double bgc_vector3_get_angle_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcAngleUnitEnum angle_unit)
double bgc_fp64_vector3_get_angle(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const int angle_unit)
{
const double square_modulus1 = bgc_vector3_get_square_modulus_fp64(vector1);
const double square_modulus1 = bgc_fp64_vector3_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus1 != square_modulus1) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0;
}
const double square_modulus2 = bgc_vector3_get_square_modulus_fp64(vector2);
const double square_modulus2 = bgc_fp64_vector3_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 != square_modulus2) {
if (square_modulus2 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0;
}
BgcVector3FP64 cross_product;
BGC_FP64_Vector3 cross_product;
bgc_vector3_get_cross_product_fp64(vector1, vector2, &cross_product);
bgc_fp64_vector3_get_cross_product(vector1, vector2, &cross_product);
const double scalar = bgc_vector3_get_scalar_product_fp64(vector1, vector2);
const double scalar = bgc_fp64_vector3_get_dot_product(vector1, vector2);
const double cross = bgc_vector3_get_modulus_fp64(&cross_product);
const double cross = bgc_fp64_vector3_get_modulus(&cross_product);
return bgc_radians_to_units_fp64(atan2(cross, scalar), angle_unit);
return bgc_fp64_radians_to_units(atan2(cross, scalar), angle_unit);
}

View file

@ -11,23 +11,23 @@
typedef struct
{
float x1, x2, x3;
} BgcVector3FP32;
} BGC_FP32_Vector3;
typedef struct
{
double x1, x2, x3;
} BgcVector3FP64;
} BGC_FP64_Vector3;
// =================== Reset ==================== //
inline void bgc_vector3_reset_fp32(BgcVector3FP32* vector)
inline void bgc_fp32_vector3_reset(BGC_FP32_Vector3* vector)
{
vector->x1 = 0.0f;
vector->x2 = 0.0f;
vector->x3 = 0.0f;
}
inline void bgc_vector3_reset_fp64(BgcVector3FP64* vector)
inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* vector)
{
vector->x1 = 0.0;
vector->x2 = 0.0;
@ -36,14 +36,14 @@ inline void bgc_vector3_reset_fp64(BgcVector3FP64* vector)
// ==================== Set ===================== //
inline void bgc_vector3_set_values_fp32(const float x1, const float x2, const float x3, BgcVector3FP32* destination)
inline void bgc_fp32_vector3_make(const float x1, const float x2, const float x3, BGC_FP32_Vector3* destination)
{
destination->x1 = x1;
destination->x2 = x2;
destination->x3 = x3;
}
inline void bgc_vector3_set_values_fp64(const double x1, const double x2, const double x3, BgcVector3FP64* destination)
inline void bgc_fp64_vector3_make(const double x1, const double x2, const double x3, BGC_FP64_Vector3* destination)
{
destination->x1 = x1;
destination->x2 = x2;
@ -52,58 +52,58 @@ inline void bgc_vector3_set_values_fp64(const double x1, const double x2, const
// ================== Modulus =================== //
inline float bgc_vector3_get_square_modulus_fp32(const BgcVector3FP32* vector)
inline float bgc_fp32_vector3_get_square_modulus(const BGC_FP32_Vector3* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2 + vector->x3 * vector->x3;
}
inline double bgc_vector3_get_square_modulus_fp64(const BgcVector3FP64* vector)
inline double bgc_fp64_vector3_get_square_modulus(const BGC_FP64_Vector3* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2 + vector->x3 * vector->x3;
}
inline float bgc_vector3_get_modulus_fp32(const BgcVector3FP32* vector)
inline float bgc_fp32_vector3_get_modulus(const BGC_FP32_Vector3* vector)
{
return sqrtf(bgc_vector3_get_square_modulus_fp32(vector));
return sqrtf(bgc_fp32_vector3_get_square_modulus(vector));
}
inline double bgc_vector3_get_modulus_fp64(const BgcVector3FP64* vector)
inline double bgc_fp64_vector3_get_modulus(const BGC_FP64_Vector3* vector)
{
return sqrt(bgc_vector3_get_square_modulus_fp64(vector));
return sqrt(bgc_fp64_vector3_get_square_modulus(vector));
}
// ================= Comparison ================= //
inline int bgc_vector3_is_zero_fp32(const BgcVector3FP32* vector)
inline int bgc_fp32_vector3_is_zero(const BGC_FP32_Vector3* vector)
{
return bgc_vector3_get_square_modulus_fp32(vector) <= BGC_SQUARE_EPSYLON_FP32;
return bgc_fp32_vector3_get_square_modulus(vector) <= BGC_FP32_SQUARE_EPSYLON;
}
inline int bgc_vector3_is_zero_fp64(const BgcVector3FP64* vector)
inline int bgc_fp64_vector3_is_zero(const BGC_FP64_Vector3* vector)
{
return bgc_vector3_get_square_modulus_fp64(vector) <= BGC_SQUARE_EPSYLON_FP64;
return bgc_fp64_vector3_get_square_modulus(vector) <= BGC_FP64_SQUARE_EPSYLON;
}
inline int bgc_vector3_is_unit_fp32(const BgcVector3FP32* vector)
inline int bgc_fp32_vector3_is_unit(const BGC_FP32_Vector3* vector)
{
return bgc_is_sqare_unit_fp32(bgc_vector3_get_square_modulus_fp32(vector));
return bgc_fp32_is_square_unit(bgc_fp32_vector3_get_square_modulus(vector));
}
inline int bgc_vector3_is_unit_fp64(const BgcVector3FP64* vector)
inline int bgc_fp64_vector3_is_unit(const BGC_FP64_Vector3* vector)
{
return bgc_is_sqare_unit_fp64(bgc_vector3_get_square_modulus_fp64(vector));
return bgc_fp64_is_square_unit(bgc_fp64_vector3_get_square_modulus(vector));
}
// ==================== Copy ==================== //
inline void bgc_vector3_copy_fp32(const BgcVector3FP32* source, BgcVector3FP32* destination)
inline void bgc_fp32_vector3_copy(const BGC_FP32_Vector3* source, BGC_FP32_Vector3* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
destination->x3 = source->x3;
}
inline void bgc_vector3_copy_fp64(const BgcVector3FP64* source, BgcVector3FP64* destination)
inline void bgc_fp64_vector3_copy(const BGC_FP64_Vector3* source, BGC_FP64_Vector3* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
@ -112,7 +112,7 @@ inline void bgc_vector3_copy_fp64(const BgcVector3FP64* source, BgcVector3FP64*
// ==================== Swap ==================== //
inline void bgc_vector3_swap_fp32(BgcVector3FP32* vector1, BgcVector3FP32* vector2)
inline void bgc_fp32_vector3_swap(BGC_FP32_Vector3* vector1, BGC_FP32_Vector3* vector2)
{
const float x1 = vector2->x1;
const float x2 = vector2->x2;
@ -127,7 +127,7 @@ inline void bgc_vector3_swap_fp32(BgcVector3FP32* vector1, BgcVector3FP32* vecto
vector1->x3 = x3;
}
inline void bgc_vector3_swap_fp64(BgcVector3FP64* vector1, BgcVector3FP64* vector2)
inline void bgc_fp64_vector3_swap(BGC_FP64_Vector3* vector1, BGC_FP64_Vector3* vector2)
{
const double x1 = vector2->x1;
const double x2 = vector2->x2;
@ -144,14 +144,14 @@ inline void bgc_vector3_swap_fp64(BgcVector3FP64* vector1, BgcVector3FP64* vecto
// ================== Convert =================== //
inline void bgc_vector3_convert_fp64_to_fp32(const BgcVector3FP64* source, BgcVector3FP32* destination)
inline void bgc_fp64_vector3_convert_to_fp32(const BGC_FP64_Vector3* source, BGC_FP32_Vector3* destination)
{
destination->x1 = (float)source->x1;
destination->x2 = (float)source->x2;
destination->x3 = (float)source->x3;
}
inline void bgc_vector3_convert_fp32_to_fp64(const BgcVector3FP32* source, BgcVector3FP64* destination)
inline void bgc_fp32_vector3_convert_to_fp64(const BGC_FP32_Vector3* source, BGC_FP64_Vector3* destination)
{
destination->x1 = source->x1;
destination->x2 = source->x2;
@ -160,14 +160,14 @@ inline void bgc_vector3_convert_fp32_to_fp64(const BgcVector3FP32* source, BgcVe
// ==================== Add ===================== //
inline void bgc_vector3_add_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* sum)
inline void bgc_fp32_vector3_add(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
sum->x3 = vector1->x3 + vector2->x3;
}
inline void bgc_vector3_add_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* sum)
inline void bgc_fp64_vector3_add(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
@ -176,14 +176,14 @@ inline void bgc_vector3_add_fp64(const BgcVector3FP64* vector1, const BgcVector3
// ================= Add scaled ================= //
inline void bgc_vector3_add_scaled_fp32(const BgcVector3FP32* basic_vector, const BgcVector3FP32* scalable_vector, const float scale, BgcVector3FP32* sum)
inline void bgc_fp32_vector3_add_scaled(const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale, BGC_FP32_Vector3* sum)
{
sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
sum->x3 = basic_vector->x3 + scalable_vector->x3 * scale;
}
inline void bgc_vector3_add_scaled_fp64(const BgcVector3FP64* basic_vector, const BgcVector3FP64* scalable_vector, const double scale, BgcVector3FP64* sum)
inline void bgc_fp64_vector3_add_scaled(const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale, BGC_FP64_Vector3* sum)
{
sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
@ -192,14 +192,14 @@ inline void bgc_vector3_add_scaled_fp64(const BgcVector3FP64* basic_vector, cons
// ================== Subtract ================== //
inline void bgc_vector3_subtract_fp32(const BgcVector3FP32* minuend, const BgcVector3FP32* subtrahend, BgcVector3FP32* difference)
inline void bgc_fp32_vector3_subtract(const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend, BGC_FP32_Vector3* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
difference->x3 = minuend->x3 - subtrahend->x3;
}
inline void bgc_vector3_subtract_fp64(const BgcVector3FP64* minuend, const BgcVector3FP64* subtrahend, BgcVector3FP64* difference)
inline void bgc_fp64_vector3_subtract(const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend, BGC_FP64_Vector3* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
@ -208,14 +208,14 @@ inline void bgc_vector3_subtract_fp64(const BgcVector3FP64* minuend, const BgcVe
// ================== Multiply ================== //
inline void bgc_vector3_multiply_fp32(const BgcVector3FP32* multiplicand, const float multiplier, BgcVector3FP32* product)
inline void bgc_fp32_vector3_multiply(const BGC_FP32_Vector3* multiplicand, const float multiplier, BGC_FP32_Vector3* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
product->x3 = multiplicand->x3 * multiplier;
}
inline void bgc_vector3_multiply_fp64(const BgcVector3FP64* multiplicand, const double multiplier, BgcVector3FP64* product)
inline void bgc_fp64_vector3_multiply(const BGC_FP64_Vector3* multiplicand, const double multiplier, BGC_FP64_Vector3* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
@ -224,109 +224,109 @@ inline void bgc_vector3_multiply_fp64(const BgcVector3FP64* multiplicand, const
// =================== Divide =================== //
inline void bgc_vector3_divide_fp32(const BgcVector3FP32* dividend, const float divisor, BgcVector3FP32* quotient)
inline void bgc_fp32_vector3_divide(const BGC_FP32_Vector3* dividend, const float divisor, BGC_FP32_Vector3* quotient)
{
bgc_vector3_multiply_fp32(dividend, 1.0f / divisor, quotient);
bgc_fp32_vector3_multiply(dividend, 1.0f / divisor, quotient);
}
inline void bgc_vector3_divide_fp64(const BgcVector3FP64* dividend, const double divisor, BgcVector3FP64* quotient)
inline void bgc_fp64_vector3_divide(const BGC_FP64_Vector3* dividend, const double divisor, BGC_FP64_Vector3* quotient)
{
bgc_vector3_multiply_fp64(dividend, 1.0 / divisor, quotient);
bgc_fp64_vector3_multiply(dividend, 1.0 / divisor, quotient);
}
// ================== Average2 ================== //
inline void bgc_vector3_get_mean_of_two_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* mean)
inline void bgc_fp32_vector3_get_middle2(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* middle)
{
mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
mean->x3 = (vector1->x3 + vector2->x3) * 0.5f;
middle->x1 = (vector1->x1 + vector2->x1) * 0.5f;
middle->x2 = (vector1->x2 + vector2->x2) * 0.5f;
middle->x3 = (vector1->x3 + vector2->x3) * 0.5f;
}
inline void bgc_vector3_get_mean_of_two_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* mean)
inline void bgc_fp64_vector3_get_middle2(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* middle)
{
mean->x1 = (vector1->x1 + vector2->x1) * 0.5;
mean->x2 = (vector1->x2 + vector2->x2) * 0.5;
mean->x3 = (vector1->x3 + vector2->x3) * 0.5;
middle->x1 = (vector1->x1 + vector2->x1) * 0.5;
middle->x2 = (vector1->x2 + vector2->x2) * 0.5;
middle->x3 = (vector1->x3 + vector2->x3) * 0.5;
}
// ================== Average3 ================== //
inline void bgc_vector3_get_mean_of_three_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3, BgcVector3FP32* mean)
inline void bgc_fp32_vector3_get_middle3(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* middle)
{
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP32;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP32;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP32;
middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
middle->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP32_ONE_THIRD;
}
inline void bgc_vector3_get_mean_of_three_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3, BgcVector3FP64* mean)
inline void bgc_fp64_vector3_get_middle3(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* middle)
{
mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP64;
mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP64;
mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP64;
middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
middle->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP64_ONE_THIRD;
}
// =================== Linear =================== //
inline void bgc_vector3_interpolate_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const float phase, BgcVector3FP32* interpolation)
inline void bgc_fp32_vector3_interpolate(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase, BGC_FP32_Vector3* interpolation)
{
const float counterphase = 1.0f - phase;
const float counter_phase = 1.0f - phase;
interpolation->x1 = vector1->x1 * counterphase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counterphase + vector2->x2 * phase;
interpolation->x3 = vector1->x3 * counterphase + vector2->x3 * phase;
interpolation->x1 = vector1->x1 * counter_phase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counter_phase + vector2->x2 * phase;
interpolation->x3 = vector1->x3 * counter_phase + vector2->x3 * phase;
}
inline void bgc_vector3_interpolate_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const double phase, BgcVector3FP64* interpolation)
inline void bgc_fp64_vector3_interpolate(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase, BGC_FP64_Vector3* interpolation)
{
const double counterphase = 1.0 - phase;
const double counter_phase = 1.0 - phase;
interpolation->x1 = vector1->x1 * counterphase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counterphase + vector2->x2 * phase;
interpolation->x3 = vector1->x3 * counterphase + vector2->x3 * phase;
interpolation->x1 = vector1->x1 * counter_phase + vector2->x1 * phase;
interpolation->x2 = vector1->x2 * counter_phase + vector2->x2 * phase;
interpolation->x3 = vector1->x3 * counter_phase + vector2->x3 * phase;
}
// ================== Negative ================== //
inline void bgc_vector3_make_opposite_fp32(BgcVector3FP32* vector)
inline void bgc_fp32_vector3_revert(BGC_FP32_Vector3* vector)
{
vector->x1 = -vector->x1;
vector->x2 = -vector->x2;
vector->x3 = -vector->x3;
}
inline void bgc_vector3_make_opposite_fp64(BgcVector3FP64* vector)
inline void bgc_fp64_vector3_revert(BGC_FP64_Vector3* vector)
{
vector->x1 = -vector->x1;
vector->x2 = -vector->x2;
vector->x3 = -vector->x3;
}
inline void bgc_vector3_get_opposite_fp32(const BgcVector3FP32* vector, BgcVector3FP32* opposite)
inline void bgc_fp32_vector3_get_reverse(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* reverse)
{
opposite->x1 = -vector->x1;
opposite->x2 = -vector->x2;
opposite->x3 = -vector->x3;
reverse->x1 = -vector->x1;
reverse->x2 = -vector->x2;
reverse->x3 = -vector->x3;
}
inline void bgc_vector3_get_opposite_fp64(const BgcVector3FP64* vector, BgcVector3FP64* opposite)
inline void bgc_fp64_vector3_get_reverse(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* reverse)
{
opposite->x1 = -vector->x1;
opposite->x2 = -vector->x2;
opposite->x3 = -vector->x3;
reverse->x1 = -vector->x1;
reverse->x2 = -vector->x2;
reverse->x3 = -vector->x3;
}
// ================= Normalize ================== //
inline int bgc_vector3_normalize_fp32(BgcVector3FP32* vector)
inline int bgc_fp32_vector3_normalize(BGC_FP32_Vector3* vector)
{
const float square_modulus = bgc_vector3_get_square_modulus_fp32(vector);
const float square_modulus = bgc_fp32_vector3_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
if (bgc_fp32_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -339,15 +339,15 @@ inline int bgc_vector3_normalize_fp32(BgcVector3FP32* vector)
return 1;
}
inline int bgc_vector3_normalize_fp64(BgcVector3FP64* vector)
inline int bgc_fp64_vector3_normalize(BGC_FP64_Vector3* vector)
{
const double square_modulus = bgc_vector3_get_square_modulus_fp64(vector);
const double square_modulus = bgc_fp64_vector3_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
if (bgc_fp64_is_square_unit(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
return 0;
}
@ -360,64 +360,64 @@ inline int bgc_vector3_normalize_fp64(BgcVector3FP64* vector)
return 1;
}
inline int bgc_vector3_get_normalized_fp32(const BgcVector3FP32* vector, BgcVector3FP32* normalized)
inline int bgc_fp32_vector3_get_normalized(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* normalized)
{
const float square_modulus = bgc_vector3_get_square_modulus_fp32(vector);
const float square_modulus = bgc_fp32_vector3_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
bgc_vector3_copy_fp32(vector, normalized);
if (bgc_fp32_is_square_unit(square_modulus)) {
bgc_fp32_vector3_copy(vector, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
bgc_vector3_reset_fp32(normalized);
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp32_vector3_reset(normalized);
return 0;
}
bgc_vector3_multiply_fp32(vector, sqrtf(1.0f / square_modulus), normalized);
bgc_fp32_vector3_multiply(vector, sqrtf(1.0f / square_modulus), normalized);
return 1;
}
inline int bgc_vector3_get_normalized_fp64(const BgcVector3FP64* vector, BgcVector3FP64* normalized)
inline int bgc_fp64_vector3_get_normalized(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* normalized)
{
const double square_modulus = bgc_vector3_get_square_modulus_fp64(vector);
const double square_modulus = bgc_fp64_vector3_get_square_modulus(vector);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
bgc_vector3_copy_fp64(vector, normalized);
if (bgc_fp64_is_square_unit(square_modulus)) {
bgc_fp64_vector3_copy(vector, normalized);
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
bgc_vector3_reset_fp64(normalized);
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
bgc_fp64_vector3_reset(normalized);
return 0;
}
bgc_vector3_multiply_fp64(vector, sqrt(1.0 / square_modulus), normalized);
bgc_fp64_vector3_multiply(vector, sqrt(1.0 / square_modulus), normalized);
return 1;
}
// =============== Scalar Product =============== //
inline float bgc_vector3_get_scalar_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline float bgc_fp32_vector3_get_dot_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2 + vector1->x3 * vector2->x3;
}
inline double bgc_vector3_get_scalar_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline double bgc_fp64_vector3_get_dot_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2 + vector1->x3 * vector2->x3;
}
// =============== Triple Product =============== //
inline float bgc_vector3_get_triple_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3)
inline float bgc_fp32_vector3_get_triple_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3)
{
return vector1->x1 * (vector2->x2 * vector3->x3 - vector2->x3 * vector3->x2)
+ vector1->x2 * (vector2->x3 * vector3->x1 - vector2->x1 * vector3->x3)
+ vector1->x3 * (vector2->x1 * vector3->x2 - vector2->x2 * vector3->x1);
}
inline double bgc_vector3_get_triple_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3)
inline double bgc_fp64_vector3_get_triple_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3)
{
return vector1->x1 * (vector2->x2 * vector3->x3 - vector2->x3 * vector3->x2)
+ vector1->x2 * (vector2->x3 * vector3->x1 - vector2->x1 * vector3->x3)
@ -426,7 +426,7 @@ inline double bgc_vector3_get_triple_product_fp64(const BgcVector3FP64* vector1,
// =============== Cross Product ================ //
inline void bgc_vector3_get_cross_product_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, BgcVector3FP32* product)
inline void bgc_fp32_vector3_get_cross_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* product)
{
const float x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
const float x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
@ -437,7 +437,7 @@ inline void bgc_vector3_get_cross_product_fp32(const BgcVector3FP32* vector1, co
product->x3 = x3;
}
inline void bgc_vector3_get_cross_product_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, BgcVector3FP64* product)
inline void bgc_fp64_vector3_get_cross_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* product)
{
const double x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
const double x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
@ -450,20 +450,20 @@ inline void bgc_vector3_get_cross_product_fp64(const BgcVector3FP64* vector1, co
// ============ Double Cross Product ============ //
inline void bgc_vector3_get_double_cross_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcVector3FP32* vector3, BgcVector3FP32* product)
inline void bgc_fp32_vector3_get_double_cross(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* product)
{
const float ac = bgc_vector3_get_scalar_product_fp32(vector1, vector3);
const float ab = bgc_vector3_get_scalar_product_fp32(vector1, vector2);
const float ac = bgc_fp32_vector3_get_dot_product(vector1, vector3);
const float ab = bgc_fp32_vector3_get_dot_product(vector1, vector2);
product->x1 = vector2->x1 * ac - vector3->x1 * ab;
product->x2 = vector2->x2 * ac - vector3->x2 * ab;
product->x3 = vector2->x3 * ac - vector3->x3 * ab;
}
inline void bgc_vector3_get_double_cross_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcVector3FP64* vector3, BgcVector3FP64* product)
inline void bgc_fp64_vector3_get_double_cross(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* product)
{
const double ac = bgc_vector3_get_scalar_product_fp64(vector1, vector3);
const double ab = bgc_vector3_get_scalar_product_fp64(vector1, vector2);
const double ac = bgc_fp64_vector3_get_dot_product(vector1, vector3);
const double ab = bgc_fp64_vector3_get_dot_product(vector1, vector2);
product->x1 = vector2->x1 * ac - vector3->x1 * ab;
product->x2 = vector2->x2 * ac - vector3->x2 * ab;
@ -472,13 +472,13 @@ inline void bgc_vector3_get_double_cross_fp64(const BgcVector3FP64* vector1, con
// =================== Angle ==================== //
float bgc_vector3_get_angle_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const BgcAngleUnitEnum angle_unit);
float bgc_fp32_vector3_get_angle(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const int angle_unit);
double bgc_vector3_get_angle_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const BgcAngleUnitEnum angle_unit);
double bgc_fp64_vector3_get_angle(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const int angle_unit);
// =============== Square Distance ============== //
inline float bgc_vector3_get_square_distance_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline float bgc_fp32_vector3_get_square_distance(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
const float dx1 = (vector1->x1 - vector2->x1);
const float dx2 = (vector1->x2 - vector2->x2);
@ -487,7 +487,7 @@ inline float bgc_vector3_get_square_distance_fp32(const BgcVector3FP32* vector1,
return dx1 * dx1 + dx2 * dx2 + dx3 * dx3;
}
inline double bgc_vector3_get_square_distance_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline double bgc_fp64_vector3_get_square_distance(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
const double dx1 = (vector1->x1 - vector2->x1);
const double dx2 = (vector1->x2 - vector2->x2);
@ -498,172 +498,172 @@ inline double bgc_vector3_get_square_distance_fp64(const BgcVector3FP64* vector1
// ================== Distance ================== //
inline float bgc_vector3_get_distance_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline float bgc_fp32_vector3_get_distance(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
return sqrtf(bgc_vector3_get_square_distance_fp32(vector1, vector2));
return sqrtf(bgc_fp32_vector3_get_square_distance(vector1, vector2));
}
inline double bgc_vector3_get_distance_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline double bgc_fp64_vector3_get_distance(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
return sqrt(bgc_vector3_get_square_distance_fp64(vector1, vector2));
return sqrt(bgc_fp64_vector3_get_square_distance(vector1, vector2));
}
// ============== Are Close Enough ============== //
inline int bgc_vector3_are_close_enough_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2, const float distance_limit)
inline int bgc_fp32_vector3_are_close_enough(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float distance_limit)
{
return bgc_vector3_get_square_distance_fp32(vector1, vector2) <= distance_limit * distance_limit;
return bgc_fp32_vector3_get_square_distance(vector1, vector2) <= distance_limit * distance_limit;
}
inline int bgc_vector3_are_close_enough_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2, const double distance_limit)
inline int bgc_fp64_vector3_are_close_enough(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double distance_limit)
{
return bgc_vector3_get_square_distance_fp64(vector1, vector2) <= distance_limit * distance_limit;
return bgc_fp64_vector3_get_square_distance(vector1, vector2) <= distance_limit * distance_limit;
}
// ================== Are Close ================= //
inline int bgc_vector3_are_close_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline int bgc_fp32_vector3_are_close(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
const float square_modulus1 = bgc_vector3_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector3_get_square_modulus_fp32(vector2);
const float square_distance = bgc_vector3_get_square_distance_fp32(vector1, vector2);
const float square_modulus1 = bgc_fp32_vector3_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector3_get_square_modulus(vector2);
const float square_distance = bgc_fp32_vector3_get_square_distance(vector1, vector2);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
return square_distance <= BGC_SQUARE_EPSYLON_FP32;
if (square_modulus1 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP32_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus2;
return square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP32_SQUARE_EPSYLON * square_modulus2;
}
inline int bgc_vector3_are_close_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline int bgc_fp64_vector3_are_close(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
const double square_modulus1 = bgc_vector3_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector3_get_square_modulus_fp64(vector2);
const double square_distance = bgc_vector3_get_square_distance_fp64(vector1, vector2);
const double square_modulus1 = bgc_fp64_vector3_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector3_get_square_modulus(vector2);
const double square_distance = bgc_fp64_vector3_get_square_distance(vector1, vector2);
if (square_modulus1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_modulus2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
return square_distance <= BGC_SQUARE_EPSYLON_FP64;
if (square_modulus1 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 <= BGC_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
return square_distance <= BGC_FP64_SQUARE_EPSYLON;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus2;
return square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 && square_distance <= BGC_FP64_SQUARE_EPSYLON * square_modulus2;
}
// ================== Parallel ================== //
inline int bgc_vector3_are_parallel_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline int bgc_fp32_vector3_are_parallel(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
const float square_modulus1 = bgc_vector3_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector3_get_square_modulus_fp32(vector2);
const float square_modulus1 = bgc_fp32_vector3_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
BgcVector3FP32 product;
BGC_FP32_Vector3 product;
bgc_vector3_get_cross_product_fp32(vector1, vector2, &product);
bgc_fp32_vector3_get_cross_product(vector1, vector2, &product);
return bgc_vector3_get_square_modulus_fp32(&product) <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
return bgc_fp32_vector3_get_square_modulus(&product) <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
inline int bgc_vector3_are_parallel_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline int bgc_fp64_vector3_are_parallel(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
const double square_modulus1 = bgc_vector3_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector3_get_square_modulus_fp64(vector2);
const double square_modulus1 = bgc_fp64_vector3_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
BgcVector3FP64 product;
BGC_FP64_Vector3 product;
bgc_vector3_get_cross_product_fp64(vector1, vector2, &product);
bgc_fp64_vector3_get_cross_product(vector1, vector2, &product);
return bgc_vector3_get_square_modulus_fp64(&product) <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
return bgc_fp64_vector3_get_square_modulus(&product) <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
// ================= Orthogonal ================= //
inline int bgc_vector3_are_orthogonal_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline int bgc_fp32_vector3_are_orthogonal(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
const float square_modulus1 = bgc_vector3_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector3_get_square_modulus_fp32(vector2);
const float square_modulus1 = bgc_fp32_vector3_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return 1;
}
const float scalar_product = bgc_vector3_get_scalar_product_fp32(vector1, vector2);
const float scalar_product = bgc_fp32_vector3_get_dot_product(vector1, vector2);
return scalar_product * scalar_product <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
return scalar_product * scalar_product <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
inline int bgc_vector3_are_orthogonal_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline int bgc_fp64_vector3_are_orthogonal(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
const double square_modulus1 = bgc_vector3_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector3_get_square_modulus_fp64(vector2);
const double square_modulus1 = bgc_fp64_vector3_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return 1;
}
const double scalar_product = bgc_vector3_get_scalar_product_fp64(vector1, vector2);
const double scalar_product = bgc_fp64_vector3_get_dot_product(vector1, vector2);
return scalar_product * scalar_product <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
return scalar_product * scalar_product <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
}
// ================== Attitude ================== //
inline int bgc_vector3_get_attitude_fp32(const BgcVector3FP32* vector1, const BgcVector3FP32* vector2)
inline int bgc_fp32_vector3_get_attitude(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
{
const float square_modulus1 = bgc_vector3_get_square_modulus_fp32(vector1);
const float square_modulus2 = bgc_vector3_get_square_modulus_fp32(vector2);
const float square_modulus1 = bgc_fp32_vector3_get_square_modulus(vector1);
const float square_modulus2 = bgc_fp32_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) {
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 <= BGC_FP32_SQUARE_EPSYLON) {
return BGC_ATTITUDE_ZERO;
}
const float square_limit = BGC_SQUARE_EPSYLON_FP32 * square_modulus1 * square_modulus2;
const float square_limit = BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
const float scalar_product = bgc_vector3_get_scalar_product_fp32(vector1, vector2);
const float scalar_product = bgc_fp32_vector3_get_dot_product(vector1, vector2);
if (scalar_product * scalar_product <= square_limit) {
return BGC_ATTITUDE_ORTHOGONAL;
}
BgcVector3FP32 product;
BGC_FP32_Vector3 product;
bgc_vector3_get_cross_product_fp32(vector1, vector2, &product);
bgc_fp32_vector3_get_cross_product(vector1, vector2, &product);
if (bgc_vector3_get_square_modulus_fp32(&product) > square_limit) {
if (bgc_fp32_vector3_get_square_modulus(&product) > square_limit) {
return BGC_ATTITUDE_ANY;
}
return scalar_product > 0.0f ? BGC_ATTITUDE_CO_DIRECTIONAL : BGC_ATTITUDE_COUNTER_DIRECTIONAL;
}
inline int bgc_vector3_get_attitude_fp64(const BgcVector3FP64* vector1, const BgcVector3FP64* vector2)
inline int bgc_fp64_vector3_get_attitude(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
{
const double square_modulus1 = bgc_vector3_get_square_modulus_fp64(vector1);
const double square_modulus2 = bgc_vector3_get_square_modulus_fp64(vector2);
const double square_modulus1 = bgc_fp64_vector3_get_square_modulus(vector1);
const double square_modulus2 = bgc_fp64_vector3_get_square_modulus(vector2);
if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64 || square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) {
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 <= BGC_FP64_SQUARE_EPSYLON) {
return BGC_ATTITUDE_ZERO;
}
const double square_limit = BGC_SQUARE_EPSYLON_FP64 * square_modulus1 * square_modulus2;
const double square_limit = BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
const double scalar_product = bgc_vector3_get_scalar_product_fp64(vector1, vector2);
const double scalar_product = bgc_fp64_vector3_get_dot_product(vector1, vector2);
if (scalar_product * scalar_product <= square_limit) {
return BGC_ATTITUDE_ORTHOGONAL;
}
BgcVector3FP64 product;
BGC_FP64_Vector3 product;
bgc_vector3_get_cross_product_fp64(vector1, vector2, &product);
bgc_fp64_vector3_get_cross_product(vector1, vector2, &product);
if (bgc_vector3_get_square_modulus_fp64(&product) > square_limit) {
if (bgc_fp64_vector3_get_square_modulus(&product) > square_limit) {
return BGC_ATTITUDE_ANY;
}

View file

Internal server error - Personal Git Server: Beyond coding. We Forge.

500

Internal server error

Forgejo version: 11.0.1+gitea-1.22.0

@ -3,83 +3,83 @@
#include "angle.h"
#include "versor.h"
const BgcVersorFP32 BGC_IDLE_VERSOR_FP32 = { 1.0f, 0.0f, 0.0f, 0.0f };
const BGC_FP32_Versor BGC_FP32_IDLE_VERSOR = { 1.0f, 0.0f, 0.0f, 0.0f };
const BgcVersorFP64 BGC_IDLE_VERSOR_FP64 = { 1.0, 0.0, 0.0, 0.0 };
const BGC_FP64_Versor BGC_FP64_IDLE_VERSOR = { 1.0, 0.0, 0.0, 0.0 };
extern inline void bgc_versor_reset_fp32(BgcVersorFP32* versor);
extern inline void bgc_versor_reset_fp64(BgcVersorFP64* versor);
extern inline void bgc_fp32_versor_reset(BGC_FP32_Versor* versor);
extern inline void bgc_fp64_versor_reset(BGC_FP64_Versor* versor);
extern inline void bgc_versor_set_values_fp32(const float s0, const float x1, const float x2, const float x3, BgcVersorFP32* versor);
extern inline void bgc_versor_set_values_fp64(const double s0, const double x1, const double x2, const double x3, BgcVersorFP64* versor);
extern inline void bgc_fp32_versor_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Versor* versor);
extern inline void bgc_fp64_versor_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Versor* versor);
extern inline void bgc_versor_set_rotation_fp32(const BgcRotation3FP32* rotation, BgcVersorFP32* result);
extern inline void bgc_versor_set_rotation_fp64(const BgcRotation3FP64* rotation, BgcVersorFP64* result);
extern inline void bgc_fp32_versor_make_for_rotation(const BGC_FP32_Rotation3* rotation, BGC_FP32_Versor* result);
extern inline void bgc_fp64_versor_make_for_rotation(const BGC_FP64_Rotation3* rotation, BGC_FP64_Versor* result);
extern inline void bgc_versor_copy_fp32(const BgcVersorFP32* source, BgcVersorFP32* destination);
extern inline void bgc_versor_copy_fp64(const BgcVersorFP64* source, BgcVersorFP64* destination);
extern inline void bgc_fp32_versor_copy(const BGC_FP32_Versor* source, BGC_FP32_Versor* destination);
extern inline void bgc_fp64_versor_copy(const BGC_FP64_Versor* source, BGC_FP64_Versor* destination);
extern inline void bgc_versor_swap_fp32(BgcVersorFP32* versor1, BgcVersorFP32* versor2);
extern inline void bgc_versor_swap_fp64(BgcVersorFP64* versor1, BgcVersorFP64* versor2);
extern inline void bgc_fp32_versor_swap(BGC_FP32_Versor* versor1, BGC_FP32_Versor* versor2);
extern inline void bgc_fp64_versor_swap(BGC_FP64_Versor* versor1, BGC_FP64_Versor* versor2);
extern inline int bgc_versor_is_identity_fp32(const BgcVersorFP32* versor);
extern inline int bgc_versor_is_identity_fp64(const BgcVersorFP64* versor);
extern inline int bgc_fp32_versor_is_idle(const BGC_FP32_Versor* versor);
extern inline int bgc_fp64_versor_is_idle(const BGC_FP64_Versor* versor);
extern inline void bgc_versor_convert_fp64_to_fp32(const BgcVersorFP64* source, BgcVersorFP32* destination);
extern inline void bgc_versor_convert_fp32_to_fp64(const BgcVersorFP32* source, BgcVersorFP64* destination);
extern inline void bgc_fp64_versor_convert_to_fp32(const BGC_FP64_Versor* source, BGC_FP32_Versor* destination);
extern inline void bgc_fp32_versor_convert_to_fp64(const BGC_FP32_Versor* source, BGC_FP64_Versor* destination);
extern inline void bgc_versor_shorten_fp32(BgcVersorFP32* versor);
extern inline void bgc_versor_shorten_fp64(BgcVersorFP64* versor);
extern inline void bgc_fp32_versor_shorten(BGC_FP32_Versor* versor);
extern inline void bgc_fp64_versor_shorten(BGC_FP64_Versor* versor);
extern inline void bgc_versor_get_shortened_fp32(const BgcVersorFP32* versor, BgcVersorFP32* shortened);
extern inline void bgc_versor_get_shortened_fp64(const BgcVersorFP64* versor, BgcVersorFP64* shortened);
extern inline void bgc_fp32_versor_get_shortened(const BGC_FP32_Versor* versor, BGC_FP32_Versor* shortened);
extern inline void bgc_fp64_versor_get_shortened(const BGC_FP64_Versor* versor, BGC_FP64_Versor* shortened);
extern inline void bgc_versor_make_opposite_fp32(BgcVersorFP32* versor);
extern inline void bgc_versor_make_opposite_fp64(BgcVersorFP64* versor);
extern inline void bgc_fp32_versor_alternate(BGC_FP32_Versor* versor);
extern inline void bgc_fp64_versor_alternate(BGC_FP64_Versor* versor);
extern inline void bgc_versor_get_opposite_fp32(const BgcVersorFP32* versor, BgcVersorFP32* opposite);
extern inline void bgc_versor_get_opposite_fp64(const BgcVersorFP64* versor, BgcVersorFP64* opposite);
extern inline void bgc_fp32_versor_get_alternative(const BGC_FP32_Versor* versor, BGC_FP32_Versor* opposite);
extern inline void bgc_fp64_versor_get_alternative(const BGC_FP64_Versor* versor, BGC_FP64_Versor* opposite);
extern inline void bgc_versor_invert_fp32(BgcVersorFP32* versor);
extern inline void bgc_versor_invert_fp64(BgcVersorFP64* versor);
extern inline void bgc_fp32_versor_revert(BGC_FP32_Versor* versor);
extern inline void bgc_fp64_versor_revert(BGC_FP64_Versor* versor);
extern inline void bgc_versor_get_inverse_fp32(const BgcVersorFP32* versor, BgcVersorFP32* inverse);
extern inline void bgc_versor_get_inverse_fp64(const BgcVersorFP64* versor, BgcVersorFP64* inverse);
extern inline void bgc_fp32_versor_get_reverse(const BGC_FP32_Versor* versor, BGC_FP32_Versor* inverse);
extern inline void bgc_fp64_versor_get_reverse(const BGC_FP64_Versor* versor, BGC_FP64_Versor* inverse);
extern inline void bgc_versor_combine_fp32(const BgcVersorFP32* first, const BgcVersorFP32* second, BgcVersorFP32* result);
extern inline void bgc_versor_combine_fp64(const BgcVersorFP64* first, const BgcVersorFP64* second, BgcVersorFP64* result);
extern inline void bgc_fp32_versor_combine(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, BGC_FP32_Versor* result);
extern inline void bgc_fp64_versor_combine(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, BGC_FP64_Versor* result);
extern inline void bgc_versor_combine3_fp32(const BgcVersorFP32* first, const BgcVersorFP32* second, const BgcVersorFP32* third, BgcVersorFP32* result);
extern inline void bgc_versor_combine3_fp64(const BgcVersorFP64* first, const BgcVersorFP64* second, const BgcVersorFP64* third, BgcVersorFP64* result);
extern inline void bgc_fp32_versor_combine3(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, const BGC_FP32_Versor* third, BGC_FP32_Versor* result);
extern inline void bgc_fp64_versor_combine3(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, const BGC_FP64_Versor* third, BGC_FP64_Versor* result);
extern inline void bgc_versor_exclude_fp32(const BgcVersorFP32* base, const BgcVersorFP32* excludant, BgcVersorFP32* difference);
extern inline void bgc_versor_exclude_fp64(const BgcVersorFP64* base, const BgcVersorFP64* excludant, BgcVersorFP64* difference);
extern inline void bgc_fp32_versor_exclude(const BGC_FP32_Versor* base, const BGC_FP32_Versor* excludant, BGC_FP32_Versor* difference);
extern inline void bgc_fp64_versor_exclude(const BGC_FP64_Versor* base, const BGC_FP64_Versor* excludant, BGC_FP64_Versor* difference);
extern inline void bgc_versor_get_rotation_matrix_fp32(const BgcVersorFP32* versor, BgcMatrix3x3FP32* matrix);
extern inline void bgc_versor_get_rotation_matrix_fp64(const BgcVersorFP64* versor, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_versor_get_rotation_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_versor_get_rotation_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_versor_get_reverse_matrix_fp32(const BgcVersorFP32* versor, BgcMatrix3x3FP32* matrix);
extern inline void bgc_versor_get_reverse_matrix_fp64(const BgcVersorFP64* versor, BgcMatrix3x3FP64* matrix);
extern inline void bgc_fp32_versor_get_reverse_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix);
extern inline void bgc_fp64_versor_get_reverse_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix);
extern inline void bgc_versor_get_both_matrices_fp32(const BgcVersorFP32* versor, BgcMatrix3x3FP32* rotation, BgcMatrix3x3FP32* reverse);
extern inline void bgc_versor_get_both_matrices_fp64(const BgcVersorFP64* versor, BgcMatrix3x3FP64* rotation, BgcMatrix3x3FP64* reverse);
extern inline void bgc_fp32_versor_get_both_matrices(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse);
extern inline void bgc_fp64_versor_get_both_matrices(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse);
extern inline void bgc_versor_turn_vector_fp32(const BgcVersorFP32* versor, const BgcVector3FP32* vector, BgcVector3FP32* result);
extern inline void bgc_versor_turn_vector_fp64(const BgcVersorFP64* versor, const BgcVector3FP64* vector, BgcVector3FP64* result);
extern inline void bgc_fp32_versor_turn_vector(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_versor_turn_vector(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
extern inline void bgc_versor_turn_vector_back_fp32(const BgcVersorFP32* versor, const BgcVector3FP32* vector, BgcVector3FP32* result);
extern inline void bgc_versor_turn_vector_back_fp64(const BgcVersorFP64* versor, const BgcVector3FP64* vector, BgcVector3FP64* result);
extern inline void bgc_fp32_versor_turn_vector_back(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
extern inline void bgc_fp64_versor_turn_vector_back(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
extern inline int bgc_versor_are_close_fp32(const BgcVersorFP32* versor1, const BgcVersorFP32* versor2);
extern inline int bgc_versor_are_close_fp64(const BgcVersorFP64* versor1, const BgcVersorFP64* versor2);
extern inline int bgc_fp32_versor_are_close(const BGC_FP32_Versor* versor1, const BGC_FP32_Versor* versor2);
extern inline int bgc_fp64_versor_are_close(const BGC_FP64_Versor* versor1, const BGC_FP64_Versor* versor2);
// ================= Normalize ================== //
void _bgc_versor_normalize_fp32(const float square_modulus, BgcVersorFP32* versor)
void _bgc_fp32_versor_normalize(BGC_FP32_Versor* versor)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
const float square_modulus = (versor->_s0 * versor->_s0 + versor->_x1 * versor->_x1) + (versor->_x2 * versor->_x2 + versor->_x3 * versor->_x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
versor->_s0 = 1.0f;
versor->_x1 = 0.0f;
versor->_x2 = 0.0f;
@ -95,11 +95,11 @@ void _bgc_versor_normalize_fp32(const float square_modulus, BgcVersorFP32* verso
versor->_x3 *= multiplier;
}
void _bgc_versor_normalize_fp64(const double square_modulus, BgcVersorFP64* versor)
void _bgc_fp64_versor_normalize(BGC_FP64_Versor* versor)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
const double square_modulus = (versor->_s0 * versor->_s0 + versor->_x1 * versor->_x1) + (versor->_x2 * versor->_x2 + versor->_x3 * versor->_x3);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
versor->_s0 = 1.0;
versor->_x1 = 0.0;
versor->_x2 = 0.0;
@ -117,71 +117,71 @@ void _bgc_versor_normalize_fp64(const double square_modulus, BgcVersorFP64* vers
// ================== Set Turn ================== //
void bgc_versor_set_turn_fp32(const float x1, const float x2, const float x3, const float angle, const BgcAngleUnitEnum unit, BgcVersorFP32* result)
void bgc_fp32_versor_make_for_turn(const float x1, const float x2, const float x3, const float angle, const int unit, BGC_FP32_Versor* result)
{
const float square_vector = x1 * x1 + x2 * x2 + x3 * x3;
if (square_vector <= BGC_SQUARE_EPSYLON_FP32) {
bgc_versor_reset_fp32(result);
if (square_vector <= BGC_FP32_SQUARE_EPSYLON) {
bgc_fp32_versor_reset(result);
return;
}
const float half_angle = bgc_angle_to_radians_fp32(0.5f * angle, unit);
const float half_angle = bgc_fp32_angle_to_radians(0.5f * angle, unit);
const float sine = sinf(half_angle);
if (bgc_is_zero_fp32(sine)) {
bgc_versor_reset_fp32(result);
if (bgc_fp32_is_zero(sine)) {
bgc_fp32_versor_reset(result);
return;
}
const float multiplier = sine / sqrtf(square_vector);
bgc_versor_set_values_fp32(cosf(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
bgc_fp32_versor_make(cosf(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
}
void bgc_versor_set_turn_fp64(const double x1, const double x2, const double x3, const double angle, const BgcAngleUnitEnum unit, BgcVersorFP64* result)
void bgc_fp64_versor_make_for_turn(const double x1, const double x2, const double x3, const double angle, const int unit, BGC_FP64_Versor* result)
{
const double square_vector = x1 * x1 + x2 * x2 + x3 * x3;
if (square_vector <= BGC_SQUARE_EPSYLON_FP64) {
bgc_versor_reset_fp64(result);
if (square_vector <= BGC_FP64_SQUARE_EPSYLON) {
bgc_fp64_versor_reset(result);
return;
}
const double half_angle = bgc_angle_to_radians_fp64(0.5 * angle, unit);
const double half_angle = bgc_fp64_angle_to_radians(0.5 * angle, unit);
const double sine = sin(half_angle);
if (bgc_is_zero_fp64(sine)) {
bgc_versor_reset_fp64(result);
if (bgc_fp64_is_zero(sine)) {
bgc_fp64_versor_reset(result);
return;
}
const double multiplier = sine / sqrt(square_vector);
bgc_versor_set_values_fp64(cos(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
bgc_fp64_versor_make(cos(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
}
// ========= Make Direction Difference ========== //
static int _bgc_versor_make_direction_turn_fp32(const BgcVector3FP32* start, const BgcVector3FP32* end, const float square_modulus_product, BgcVersorFP32* result)
static int _bgc_fp32_versor_make_direction_turn(const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, const float square_modulus_product, BGC_FP32_Versor* result)
{
BgcVector3FP32 orthogonal_axis;
BGC_FP32_Vector3 orthogonal_axis;
bgc_vector3_get_cross_product_fp32(start, end, &orthogonal_axis);
bgc_fp32_vector3_get_cross_product(start, end, &orthogonal_axis);
const float scalar_product = bgc_vector3_get_scalar_product_fp32(start, end);
const float square_modulus = bgc_vector3_get_square_modulus_fp32(&orthogonal_axis);
const float scalar_product = bgc_fp32_vector3_get_dot_product(start, end);
const float square_modulus = bgc_fp32_vector3_get_square_modulus(&orthogonal_axis);
const float square_sine = square_modulus / square_modulus_product;
if (square_sine > BGC_SQUARE_EPSYLON_FP32) {
if (square_sine > BGC_FP32_SQUARE_EPSYLON) {
const float cosine = scalar_product / sqrtf(square_modulus_product);
const float angle = 0.5f * atan2f(sqrtf(square_sine), cosine);