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

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