Добавление position3 и aффинного преобразования
This commit is contained in:
parent
fd7c6c91cd
commit
d8347656c7
7 changed files with 375 additions and 0 deletions
197
basic-geometry/affine3.h
Normal file
197
basic-geometry/affine3.h
Normal file
|
|
@ -0,0 +1,197 @@
|
|||
#ifndef _BGC_AFFINE3_H_INCLUDED_
|
||||
#define _BGC_AFFINE3_H_INCLUDED_
|
||||
|
||||
#include "utilities.h"
|
||||
#include "vector3.h"
|
||||
#include "matrixes.h"
|
||||
#include "matrix3x3.h"
|
||||
|
||||
// ==================== Types ==================== //
|
||||
|
||||
typedef struct {
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
BgcMatrix3x3FP32 distortion;
|
||||
BgcVector3FP32 shift;
|
||||
#else
|
||||
float r1c1, r1c2, r1c3, shift1;
|
||||
float r2c1, r2c2, r2c3, shift2;
|
||||
float r3c1, r3c2, r3c3, shift3;
|
||||
#endif
|
||||
} BgcAffine3FP32;
|
||||
|
||||
typedef struct {
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
BgcMatrix3x3FP64 distortion;
|
||||
BgcVector3FP64 shift;
|
||||
#else
|
||||
double r1c1, r1c2, r1c3, shift1;
|
||||
double r2c1, r2c2, r2c3, shift2;
|
||||
double r3c1, r3c2, r3c3, shift3;
|
||||
#endif
|
||||
} BgcAffine3FP64;
|
||||
|
||||
// ==================== Reset ==================== //
|
||||
|
||||
inline void bgc_affine3_reset_fp32(BgcAffine3FP32 * affine)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_set_to_identity_fp32(&affine->distortion);
|
||||
bgc_vector3_reset_fp32(&affine->shift);
|
||||
#else
|
||||
affine->r1c1 = 1.0f;
|
||||
affine->r1c2 = 0.0f;
|
||||
affine->r1c3 = 0.0f;
|
||||
affine->shift1 = 0.0f;
|
||||
|
||||
affine->r2c1 = 0.0f;
|
||||
affine->r2c2 = 1.0f;
|
||||
affine->r2c3 = 0.0f;
|
||||
affine->shift2 = 0.0f;
|
||||
|
||||
affine->r3c1 = 0.0f;
|
||||
affine->r3c2 = 0.0f;
|
||||
affine->r3c3 = 1.0f;
|
||||
affine->shift3 = 0.0f;
|
||||
#endif
|
||||
}
|
||||
|
||||
inline void bgc_affine3_reset_fp64(BgcAffine3FP64 * affine)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_set_to_identity_fp64(&affine->distortion);
|
||||
bgc_vector3_reset_fp64(&affine->shift);
|
||||
#else
|
||||
affine->r1c1 = 1.0;
|
||||
affine->r1c2 = 0.0;
|
||||
affine->r1c3 = 0.0;
|
||||
affine->shift1 = 0.0;
|
||||
|
||||
affine->r2c1 = 0.0;
|
||||
affine->r2c2 = 1.0;
|
||||
affine->r2c3 = 0.0;
|
||||
affine->shift2 = 0.0;
|
||||
|
||||
affine->r3c1 = 0.0;
|
||||
affine->r3c2 = 0.0;
|
||||
affine->r3c3 = 1.0;
|
||||
affine->shift3 = 0.0;
|
||||
#endif
|
||||
}
|
||||
|
||||
// ==================== Make ===================== //
|
||||
|
||||
inline void bgc_affine3_make_fp32(const BgcMatrix3x3FP32 * distortion, const BgcVector3FP32 * shift, BgcAffine3FP32 * affine)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_copy_fp32(distortion, &affine->distortion);
|
||||
bgc_vector3_copy_fp32(shift, &affine->shift);
|
||||
#else
|
||||
affine->r1c1 = distortion->r1c1;
|
||||
affine->r1c2 = distortion->r1c2;
|
||||
affine->r1c3 = distortion->r1c3;
|
||||
affine->shift1 = shift->x1;
|
||||
|
||||
affine->r2c1 = distortion->r2c1;
|
||||
affine->r2c2 = distortion->r2c2;
|
||||
affine->r2c3 = distortion->r2c3;
|
||||
affine->shift2 = shift->x2;
|
||||
|
||||
affine->r3c1 = distortion->r3c1;
|
||||
affine->r3c2 = distortion->r3c2;
|
||||
affine->r3c3 = distortion->r3c3;
|
||||
affine->shift3 = shift->x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
inline void bgc_affine3_make_fp64(const BgcMatrix3x3FP64 * distortion, const BgcVector3FP64 * shift, BgcAffine3FP64 * affine)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_copy_fp64(distortion, &affine->distortion);
|
||||
bgc_vector3_copy_fp64(shift, &affine->shift);
|
||||
#else
|
||||
affine->r1c1 = distortion->r1c1;
|
||||
affine->r1c2 = distortion->r1c2;
|
||||
affine->r1c3 = distortion->r1c3;
|
||||
affine->shift1 = shift->x1;
|
||||
|
||||
affine->r2c1 = distortion->r2c1;
|
||||
affine->r2c2 = distortion->r2c2;
|
||||
affine->r2c3 = distortion->r2c3;
|
||||
affine->shift2 = shift->x2;
|
||||
|
||||
affine->r3c1 = distortion->r3c1;
|
||||
affine->r3c2 = distortion->r3c2;
|
||||
affine->r3c3 = distortion->r3c3;
|
||||
affine->shift3 = shift->x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
// =============== Transform Point =============== //
|
||||
|
||||
inline void bgc_affine3_transform_point_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_point, BgcVector3FP32 * transformed_point)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
BgcVector3FP32 distorted;
|
||||
bgc_matrix3x3_get_right_product_fp32(&affine->distortion, initial_point, &distorted);
|
||||
bgc_vector3_add_fp32(&affine->shift, &distorted, transformed_point);
|
||||
#else
|
||||
const float x1 = affine->r1c1 * initial_point->x1 + affine->r1c2 * initial_point->x2 + affine->r1c3 * initial_point->x3 + affine->shift1;
|
||||
const float x2 = affine->r2c1 * initial_point->x1 + affine->r2c2 * initial_point->x2 + affine->r2c3 * initial_point->x3 + affine->shift2;
|
||||
const float x3 = affine->r3c1 * initial_point->x1 + affine->r3c2 * initial_point->x2 + affine->r3c3 * initial_point->x3 + affine->shift3;
|
||||
|
||||
transformed_point->x1 = x1;
|
||||
transformed_point->x2 = x2;
|
||||
transformed_point->x3 = x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
inline void bgc_affine3_transform_point_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_point, BgcVector3FP64 * transformed_point)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
BgcVector3FP64 distorted;
|
||||
bgc_matrix3x3_get_right_product_fp64(&affine->distortion, initial_point, &distorted);
|
||||
bgc_vector3_add_fp64(&affine->shift, &distorted, transformed_point);
|
||||
#else
|
||||
const double x1 = affine->r1c1 * initial_point->x1 + affine->r1c2 * initial_point->x2 + affine->r1c3 * initial_point->x3 + affine->shift1;
|
||||
const double x2 = affine->r2c1 * initial_point->x1 + affine->r2c2 * initial_point->x2 + affine->r2c3 * initial_point->x3 + affine->shift2;
|
||||
const double x3 = affine->r3c1 * initial_point->x1 + affine->r3c2 * initial_point->x2 + affine->r3c3 * initial_point->x3 + affine->shift3;
|
||||
|
||||
transformed_point->x1 = x1;
|
||||
transformed_point->x2 = x2;
|
||||
transformed_point->x3 = x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
// ============== Transform Vector =============== //
|
||||
|
||||
inline void bgc_affine3_transform_vector_fp32(const BgcAffine3FP32 * affine, const BgcVector3FP32 * initial_vector, BgcVector3FP32 * transformed_vector)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_get_right_product_fp32(&affine->distortion, initial_vector, transformed_vector);
|
||||
#else
|
||||
const float x1 = affine->r1c1 * initial_vector->x1 + affine->r1c2 * initial_vector->x2 + affine->r1c3 * initial_vector->x3;
|
||||
const float x2 = affine->r2c1 * initial_vector->x1 + affine->r2c2 * initial_vector->x2 + affine->r2c3 * initial_vector->x3;
|
||||
const float x3 = affine->r3c1 * initial_vector->x1 + affine->r3c2 * initial_vector->x2 + affine->r3c3 * initial_vector->x3;
|
||||
|
||||
transformed_vector->x1 = x1;
|
||||
transformed_vector->x2 = x2;
|
||||
transformed_vector->x3 = x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
inline void bgc_affine3_transform_vector_fp64(const BgcAffine3FP64 * affine, const BgcVector3FP64 * initial_vector, BgcVector3FP64 * transformed_vector)
|
||||
{
|
||||
#if BGC_AFFINE_USE_MATRIX
|
||||
bgc_matrix3x3_get_right_product_fp64(&affine->distortion, initial_vector, transformed_vector);
|
||||
#else
|
||||
const double x1 = affine->r1c1 * initial_vector->x1 + affine->r1c2 * initial_vector->x2 + affine->r1c3 * initial_vector->x3;
|
||||
const double x2 = affine->r2c1 * initial_vector->x1 + affine->r2c2 * initial_vector->x2 + affine->r2c3 * initial_vector->x3;
|
||||
const double x3 = affine->r3c1 * initial_vector->x1 + affine->r3c2 * initial_vector->x2 + affine->r3c3 * initial_vector->x3;
|
||||
|
||||
transformed_vector->x1 = x1;
|
||||
transformed_vector->x2 = x2;
|
||||
transformed_vector->x3 = x3;
|
||||
#endif
|
||||
}
|
||||
|
||||
#endif // _BGC_AFFINE3_H_INCLUDED_
|
||||
Loading…
Add table
Add a link
Reference in a new issue