bgc-c/basic-geometry/slerp.h

127 lines
3.6 KiB
C

#ifndef _BGC_SLERP_H_INCLUDED_
#define _BGC_SLERP_H_INCLUDED_
#include "./turn3.h"
typedef struct {
float s0_cos_weight, s0_sin_weight;
float x1_cos_weight, x1_sin_weight;
float x2_cos_weight, x2_sin_weight;
float x3_cos_weight, x3_sin_weight;
float radians;
} BGC_FP32_Slerp;
typedef struct {
double s0_cos_weight, s0_sin_weight;
double x1_cos_weight, x1_sin_weight;
double x2_cos_weight, x2_sin_weight;
double x3_cos_weight, x3_sin_weight;
double radians;
} BGC_FP64_Slerp;
inline void bgc_fp32_slerp_reset(BGC_FP32_Slerp* slerp)
{
slerp->s0_cos_weight = 1.0f;
slerp->s0_sin_weight = 0.0f;
slerp->x1_cos_weight = 0.0f;
slerp->x1_sin_weight = 0.0f;
slerp->x2_cos_weight = 0.0f;
slerp->x2_sin_weight = 0.0f;
slerp->x3_cos_weight = 0.0f;
slerp->x3_sin_weight = 0.0f;
slerp->radians = 0.0f;
}
inline void bgc_fp64_slerp_reset(BGC_FP64_Slerp* slerp)
{
slerp->s0_cos_weight = 1.0;
slerp->s0_sin_weight = 0.0;
slerp->x1_cos_weight = 0.0;
slerp->x1_sin_weight = 0.0;
slerp->x2_cos_weight = 0.0;
slerp->x2_sin_weight = 0.0;
slerp->x3_cos_weight = 0.0;
slerp->x3_sin_weight = 0.0;
slerp->radians = 0.0;
}
void bgc_fp32_slerp_make(BGC_FP32_Slerp* slerp, const BGC_FP32_Turn3* start, const BGC_FP32_Turn3* augment);
void bgc_fp64_slerp_make(BGC_FP64_Slerp* slerp, const BGC_FP64_Turn3* start, const BGC_FP64_Turn3* augment);
inline void bgc_fp32_slerp_make_full(BGC_FP32_Slerp* slerp, const BGC_FP32_Turn3* start, const BGC_FP32_Turn3* end)
{
BGC_FP32_Turn3 augment;
bgc_fp32_turn3_exclude(&augment, end, start);
bgc_fp32_slerp_make(slerp, start, &augment);
}
inline void bgc_fp64_slerp_make_full(BGC_FP64_Slerp* slerp, const BGC_FP64_Turn3* start, const BGC_FP64_Turn3* end)
{
BGC_FP64_Turn3 augment;
bgc_fp64_turn3_exclude(&augment, end, start);
bgc_fp64_slerp_make(slerp, start, &augment);
}
inline void bgc_fp32_slerp_make_shortened(BGC_FP32_Slerp* slerp, const BGC_FP32_Turn3* start, const BGC_FP32_Turn3* end)
{
BGC_FP32_Turn3 augment;
bgc_fp32_turn3_exclude(&augment, end, start);
bgc_fp32_turn3_shorten(&augment);
bgc_fp32_slerp_make(slerp, start, &augment);
}
inline void bgc_fp64_slerp_make_shortened(BGC_FP64_Slerp* slerp, const BGC_FP64_Turn3* start, const BGC_FP64_Turn3* end)
{
BGC_FP64_Turn3 augment;
bgc_fp64_turn3_exclude(&augment, end, start);
bgc_fp64_turn3_shorten(&augment);
bgc_fp64_slerp_make(slerp, start, &augment);
}
inline void bgc_fp32_slerp_get_phase_versor(BGC_FP32_Turn3* versor, const BGC_FP32_Slerp* slerp, const float phase)
{
const float angle = slerp->radians * phase;
const float cosine = cosf(angle);
const float sine = sinf(angle);
bgc_fp32_turn3_set_raw_values(
versor,
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,
slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine
);
}
inline void bgc_fp64_slerp_get_phase_versor(BGC_FP64_Turn3* versor, const BGC_FP64_Slerp* slerp, const double phase)
{
const double angle = slerp->radians * phase;
const double cosine = cos(angle);
const double sine = sin(angle);
bgc_fp64_turn3_set_raw_values(
versor,
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,
slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine
);
}
#endif