Завершение большого переименования
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31 changed files with 1213 additions and 1255 deletions
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@ -1,7 +1,7 @@
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#ifndef _BASIC_GEOMETRY_VECTOR3_H_
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#define _BASIC_GEOMETRY_VECTOR3_H_
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#ifndef _BGC_VECTOR3_H_
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#define _BGC_VECTOR3_H_
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#include "basis.h"
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#include "utilities.h"
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#include "angle.h"
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#include <math.h>
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@ -11,23 +11,23 @@
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typedef struct
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{
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float x1, x2, x3;
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} vector3_fp32_t;
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} bgc_vector3_fp32_t;
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typedef struct
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{
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double x1, x2, x3;
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} vector3_fp64_t;
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} bgc_vector3_fp64_t;
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// =================== Reset ==================== //
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inline void vector3_reset_fp32(vector3_fp32_t* vector)
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inline void bgc_vector3_reset_fp32(bgc_vector3_fp32_t* vector)
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{
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vector->x1 = 0.0f;
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vector->x2 = 0.0f;
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vector->x3 = 0.0f;
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}
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inline void vector3_reset_fp64(vector3_fp64_t* vector)
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inline void bgc_vector3_reset_fp64(bgc_vector3_fp64_t* vector)
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{
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vector->x1 = 0.0;
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vector->x2 = 0.0;
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@ -36,14 +36,14 @@ inline void vector3_reset_fp64(vector3_fp64_t* vector)
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// ==================== Set ===================== //
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inline void vector3_set_values_fp32(const float x1, const float x2, const float x3, vector3_fp32_t* to)
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inline void bgc_vector3_set_values_fp32(const float x1, const float x2, const float x3, bgc_vector3_fp32_t* to)
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{
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to->x1 = x1;
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to->x2 = x2;
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to->x3 = x3;
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}
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inline void vector3_set_values_fp64(const double x1, const double x2, const double x3, vector3_fp64_t* to)
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inline void bgc_vector3_set_values_fp64(const double x1, const double x2, const double x3, bgc_vector3_fp64_t* to)
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{
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to->x1 = x1;
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to->x2 = x2;
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@ -52,14 +52,14 @@ inline void vector3_set_values_fp64(const double x1, const double x2, const doub
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// ==================== Copy ==================== //
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inline void vector3_copy_fp32(const vector3_fp32_t* from, vector3_fp32_t* to)
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inline void bgc_vector3_copy_fp32(const bgc_vector3_fp32_t* from, bgc_vector3_fp32_t* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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to->x3 = from->x3;
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}
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inline void vector3_copy_fp64(const vector3_fp64_t* from, vector3_fp64_t* to)
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inline void bgc_vector3_copy_fp64(const bgc_vector3_fp64_t* from, bgc_vector3_fp64_t* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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@ -68,14 +68,14 @@ inline void vector3_copy_fp64(const vector3_fp64_t* from, vector3_fp64_t* to)
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// ================== Convert =================== //
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inline void vector3_convert__fp64_to_fp32(const vector3_fp64_t* from, vector3_fp32_t* to)
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inline void bgc_vector3_convert_fp64_to_fp32(const bgc_vector3_fp64_t* from, bgc_vector3_fp32_t* to)
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{
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to->x1 = (float) from->x1;
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to->x2 = (float) from->x2;
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to->x3 = (float) from->x3;
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}
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inline void vector3_convert__fp32_to_fp64(const vector3_fp32_t* from, vector3_fp64_t* to)
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inline void bgc_vector3_convert_fp32_to_fp64(const bgc_vector3_fp32_t* from, bgc_vector3_fp64_t* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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@ -84,7 +84,7 @@ inline void vector3_convert__fp32_to_fp64(const vector3_fp32_t* from, vector3_fp
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// ==================== Swap ==================== //
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inline void vector3_swap_fp32(vector3_fp32_t* vector1, vector3_fp32_t* vector2)
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inline void bgc_vector3_swap_fp32(bgc_vector3_fp32_t* vector1, bgc_vector3_fp32_t* vector2)
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{
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const float x1 = vector2->x1;
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const float x2 = vector2->x2;
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@ -99,7 +99,7 @@ inline void vector3_swap_fp32(vector3_fp32_t* vector1, vector3_fp32_t* vector2)
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vector1->x3 = x3;
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}
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inline void vector3_swap_fp64(vector3_fp64_t* vector1, vector3_fp64_t* vector2)
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inline void bgc_vector3_swap_fp64(bgc_vector3_fp64_t* vector1, bgc_vector3_fp64_t* vector2)
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{
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const double x1 = vector2->x1;
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const double x2 = vector2->x2;
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@ -116,14 +116,14 @@ inline void vector3_swap_fp64(vector3_fp64_t* vector1, vector3_fp64_t* vector2)
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// ==================== Invert ================== //
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inline void vector3_invert_fp32(vector3_fp32_t* vector)
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inline void bgc_vector3_invert_fp32(bgc_vector3_fp32_t* vector)
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{
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vector->x1 = -vector->x1;
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vector->x2 = -vector->x2;
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vector->x3 = -vector->x3;
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}
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inline void vector3_invert_fp64(vector3_fp64_t* vector)
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inline void bgc_vector3_invert_fp64(bgc_vector3_fp64_t* vector)
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{
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vector->x1 = -vector->x1;
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vector->x2 = -vector->x2;
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@ -132,14 +132,14 @@ inline void vector3_invert_fp64(vector3_fp64_t* vector)
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// ================ Make Inverted =============== //
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inline void vector3_set_inverted_fp32(const vector3_fp32_t* vector, vector3_fp32_t* result)
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inline void bgc_vector3_set_inverted_fp32(const bgc_vector3_fp32_t* vector, bgc_vector3_fp32_t* result)
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{
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result->x1 = -vector->x1;
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result->x2 = -vector->x2;
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result->x3 = -vector->x3;
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}
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inline void vector3_set_inverted_fp64(const vector3_fp64_t* vector, vector3_fp64_t* result)
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inline void bgc_vector3_set_inverted_fp64(const bgc_vector3_fp64_t* vector, bgc_vector3_fp64_t* result)
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{
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result->x1 = -vector->x1;
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result->x2 = -vector->x2;
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@ -148,14 +148,14 @@ inline void vector3_set_inverted_fp64(const vector3_fp64_t* vector, vector3_fp64
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// ============== Make Inverted Twin ============ //
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inline void vector3_set_inverted_fp32_to_fp64(const vector3_fp32_t* vector, vector3_fp64_t* result)
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inline void bgc_vector3_set_inverted_fp32_to_fp64(const bgc_vector3_fp32_t* vector, bgc_vector3_fp64_t* result)
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{
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result->x1 = -vector->x1;
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result->x2 = -vector->x2;
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result->x3 = -vector->x3;
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}
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inline void vector3_set_inverted_fp64_to_fp32(const vector3_fp64_t* vector, vector3_fp32_t* result)
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inline void bgc_vector3_set_inverted_fp64_to_fp32(const bgc_vector3_fp64_t* vector, bgc_vector3_fp32_t* result)
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{
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result->x1 = (float) -vector->x1;
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result->x2 = (float) -vector->x2;
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@ -164,94 +164,78 @@ inline void vector3_set_inverted_fp64_to_fp32(const vector3_fp64_t* vector, vect
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// =================== Module =================== //
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inline float vector3_get_square_modulus_fp32(const vector3_fp32_t* vector)
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inline float bgc_vector3_get_square_modulus_fp32(const bgc_vector3_fp32_t* vector)
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{
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return vector->x1 * vector->x1 + vector->x2 * vector->x2 + vector->x3 * vector->x3;
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}
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inline double vector3_get_square_modulus_fp64(const vector3_fp64_t* vector)
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inline double bgc_vector3_get_square_modulus_fp64(const bgc_vector3_fp64_t* vector)
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{
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return vector->x1 * vector->x1 + vector->x2 * vector->x2 + vector->x3 * vector->x3;
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}
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inline float vector3_get_modulus_fp32(const vector3_fp32_t* vector)
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inline float bgc_vector3_get_modulus_fp32(const bgc_vector3_fp32_t* vector)
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{
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return sqrtf(vector3_get_square_modulus_fp32(vector));
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return sqrtf(bgc_vector3_get_square_modulus_fp32(vector));
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}
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inline double vector3_get_modulus_fp64(const vector3_fp64_t* vector)
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inline double bgc_vector3_get_modulus_fp64(const bgc_vector3_fp64_t* vector)
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{
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return sqrt(vector3_get_square_modulus_fp64(vector));
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return sqrt(bgc_vector3_get_square_modulus_fp64(vector));
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}
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// ================= Comparison ================= //
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inline int vector3_fp32_is_zero(const vector3_fp32_t* vector)
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inline int bgc_vector3_is_zero_fp32(const bgc_vector3_fp32_t* vector)
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{
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return vector3_get_square_modulus_fp32(vector) <= FP32_SQUARE_EPSYLON;
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return bgc_vector3_get_square_modulus_fp32(vector) <= BGC_SQUARE_EPSYLON_FP32;
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}
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inline int vector3_fp64_is_zero(const vector3_fp64_t* vector)
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inline int bgc_vector3_is_zero_fp64(const bgc_vector3_fp64_t* vector)
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{
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return vector3_get_square_modulus_fp64(vector) <= FP64_SQUARE_EPSYLON;
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return bgc_vector3_get_square_modulus_fp64(vector) <= BGC_SQUARE_EPSYLON_FP64;
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}
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inline int vector3_fp32_is_unit(const vector3_fp32_t* vector)
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inline int bgc_vector3_is_unit_fp32(const bgc_vector3_fp32_t* vector)
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{
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const float square_modulus = vector3_get_square_modulus_fp32(vector);
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const float square_modulus = bgc_vector3_get_square_modulus_fp32(vector);
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return 1.0f - FP32_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP32_TWO_EPSYLON;
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return 1.0f - BGC_TWO_EPSYLON_FP32 <= square_modulus && square_modulus <= 1.0f + BGC_TWO_EPSYLON_FP32;
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}
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inline int vector3_fp64_is_unit(const vector3_fp64_t* vector)
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inline int bgc_vector3_is_unit_fp64(const bgc_vector3_fp64_t* vector)
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{
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const double square_modulus = vector3_get_square_modulus_fp64(vector);
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const double square_modulus = bgc_vector3_get_square_modulus_fp64(vector);
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return 1.0f - FP64_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP64_TWO_EPSYLON;
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return 1.0f - BGC_TWO_EPSYLON_FP64 <= square_modulus && square_modulus <= 1.0f + BGC_TWO_EPSYLON_FP64;
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}
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// ==================== Add ===================== //
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inline void vector3_add_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, vector3_fp32_t* sum)
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inline void bgc_vector3_add_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, bgc_vector3_fp32_t* sum)
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{
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sum->x1 = vector1->x1 + vector2->x1;
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sum->x2 = vector1->x2 + vector2->x2;
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sum->x3 = vector1->x3 + vector2->x3;
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}
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inline void vector3_add_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, vector3_fp64_t* sum)
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inline void bgc_vector3_add_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, bgc_vector3_fp64_t* sum)
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{
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sum->x1 = vector1->x1 + vector2->x1;
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sum->x2 = vector1->x2 + vector2->x2;
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sum->x3 = vector1->x3 + vector2->x3;
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}
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// ==================== Sum ===================== //
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inline void vector3_set_sum_fp32_to_fp64(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, vector3_fp64_t* sum)
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{
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sum->x1 = vector1->x1 + vector2->x1;
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sum->x2 = vector1->x2 + vector2->x2;
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sum->x3 = vector1->x3 + vector2->x3;
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}
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inline void vector3_set_sum_fp64_to_fp32(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, vector3_fp32_t* sum)
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{
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sum->x1 = (float)(vector1->x1 + vector2->x1);
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sum->x2 = (float)(vector1->x2 + vector2->x2);
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sum->x3 = (float)(vector1->x3 + vector2->x3);
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}
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// ================= Add scaled ================= //
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inline void vector3_add_scaled_fp32(const vector3_fp32_t* basic_vector, const vector3_fp32_t* scalable_vector, const float scale, vector3_fp32_t* result)
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inline void bgc_vector3_add_scaled_fp32(const bgc_vector3_fp32_t* basic_vector, const bgc_vector3_fp32_t* scalable_vector, const float scale, bgc_vector3_fp32_t* result)
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{
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result->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
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result->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
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result->x3 = basic_vector->x3 + scalable_vector->x3 * scale;
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}
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inline void vector3_add_scaled_fp64(const vector3_fp64_t* basic_vector, const vector3_fp64_t* scalable_vector, const double scale, vector3_fp64_t* result)
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inline void bgc_vector3_add_scaled_fp64(const bgc_vector3_fp64_t* basic_vector, const bgc_vector3_fp64_t* scalable_vector, const double scale, bgc_vector3_fp64_t* result)
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{
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result->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
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result->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
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@ -260,102 +244,58 @@ inline void vector3_add_scaled_fp64(const vector3_fp64_t* basic_vector, const ve
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// ================ Subtraction ================= //
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inline void vector3_subtract_fp32(const vector3_fp32_t* minuend, const vector3_fp32_t* subtrahend, vector3_fp32_t* difference)
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inline void bgc_vector3_subtract_fp32(const bgc_vector3_fp32_t* minuend, const bgc_vector3_fp32_t* subtrahend, bgc_vector3_fp32_t* difference)
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{
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difference->x1 = minuend->x1 - subtrahend->x1;
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difference->x2 = minuend->x2 - subtrahend->x2;
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difference->x3 = minuend->x3 - subtrahend->x3;
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}
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inline void vector3_subtract_fp64(const vector3_fp64_t* minuend, const vector3_fp64_t* subtrahend, vector3_fp64_t* difference)
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inline void bgc_vector3_subtract_fp64(const bgc_vector3_fp64_t* minuend, const bgc_vector3_fp64_t* subtrahend, bgc_vector3_fp64_t* difference)
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{
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difference->x1 = minuend->x1 - subtrahend->x1;
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difference->x2 = minuend->x2 - subtrahend->x2;
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difference->x3 = minuend->x3 - subtrahend->x3;
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}
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// ================= Difference ================= //
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inline void vector3_set_difference_fp32_to_fp64(const vector3_fp32_t* minuend, const vector3_fp32_t* subtrahend, vector3_fp64_t* difference)
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{
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difference->x1 = minuend->x1 - subtrahend->x1;
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difference->x2 = minuend->x2 - subtrahend->x2;
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difference->x3 = minuend->x3 - subtrahend->x3;
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}
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inline void vector3_set_difference_fp64_to_fp32(const vector3_fp64_t* minuend, const vector3_fp64_t* subtrahend, vector3_fp64_t* difference)
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{
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difference->x1 = (float)(minuend->x1 - subtrahend->x1);
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difference->x2 = (float)(minuend->x2 - subtrahend->x2);
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difference->x3 = (float)(minuend->x3 - subtrahend->x3);
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}
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// =============== Multiplication =============== //
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inline void vector3_multiply_fp32(const vector3_fp32_t* multiplicand, const float multiplier, vector3_fp32_t* product)
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inline void bgc_vector3_multiply_fp32(const bgc_vector3_fp32_t* multiplicand, const float multiplier, bgc_vector3_fp32_t* product)
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{
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product->x1 = multiplicand->x1 * multiplier;
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product->x2 = multiplicand->x2 * multiplier;
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product->x3 = multiplicand->x3 * multiplier;
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}
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inline void vector3_multiply_fp64(const vector3_fp64_t* multiplicand, const double multiplier, vector3_fp64_t* product)
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inline void bgc_vector3_multiply_fp64(const bgc_vector3_fp64_t* multiplicand, const double multiplier, bgc_vector3_fp64_t* product)
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{
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product->x1 = multiplicand->x1 * multiplier;
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product->x2 = multiplicand->x2 * multiplier;
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product->x3 = multiplicand->x3 * multiplier;
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}
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// =============== Multiplication =============== //
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inline void vector3_set_product_fp32_to_fp64(const vector3_fp32_t* multiplicand, const double multiplier, vector3_fp64_t* product)
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{
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product->x1 = multiplicand->x1 * multiplier;
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product->x2 = multiplicand->x2 * multiplier;
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product->x3 = multiplicand->x3 * multiplier;
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}
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inline void vector3_set_product_fp64_to_fp32(const vector3_fp64_t* multiplicand, const double multiplier, vector3_fp32_t* product)
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{
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product->x1 = (float)(multiplicand->x1 * multiplier);
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product->x2 = (float)(multiplicand->x2 * multiplier);
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product->x3 = (float)(multiplicand->x3 * multiplier);
|
||||
}
|
||||
|
||||
// ================== Division ================== //
|
||||
|
||||
inline void vector3_divide_fp32(const vector3_fp32_t* dividend, const float divisor, vector3_fp32_t* quotient)
|
||||
inline void bgc_vector3_divide_fp32(const bgc_vector3_fp32_t* dividend, const float divisor, bgc_vector3_fp32_t* quotient)
|
||||
{
|
||||
vector3_multiply_fp32(dividend, 1.0f / divisor, quotient);
|
||||
bgc_vector3_multiply_fp32(dividend, 1.0f / divisor, quotient);
|
||||
}
|
||||
|
||||
inline void vector3_divide_fp64(const vector3_fp64_t* dividend, const double divisor, vector3_fp64_t* quotient)
|
||||
inline void bgc_vector3_divide_fp64(const bgc_vector3_fp64_t* dividend, const double divisor, bgc_vector3_fp64_t* quotient)
|
||||
{
|
||||
vector3_multiply_fp64(dividend, 1.0 / divisor, quotient);
|
||||
}
|
||||
|
||||
// ================== Quotient ================== //
|
||||
|
||||
inline void vector3_set_quotient_fp32_to_fp64(const vector3_fp32_t* dividend, const double divisor, vector3_fp64_t* quotient)
|
||||
{
|
||||
vector3_set_product_fp32_to_fp64(dividend, 1.0 / divisor, quotient);
|
||||
}
|
||||
|
||||
inline void vector3_set_quotient_fp64_to_fp32(const vector3_fp64_t* dividend, const double divisor, vector3_fp32_t* quotient)
|
||||
{
|
||||
vector3_set_product_fp64_to_fp32(dividend, 1.0f / divisor, quotient);
|
||||
bgc_vector3_multiply_fp64(dividend, 1.0 / divisor, quotient);
|
||||
}
|
||||
|
||||
// ================== Average2 ================== //
|
||||
|
||||
inline void vector3_mean_of_two_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, vector3_fp32_t* result)
|
||||
inline void bgc_vector3_mean_of_two_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, bgc_vector3_fp32_t* result)
|
||||
{
|
||||
result->x1 = (vector1->x1 + vector2->x1) * 0.5f;
|
||||
result->x2 = (vector1->x2 + vector2->x2) * 0.5f;
|
||||
result->x3 = (vector1->x3 + vector2->x3) * 0.5f;
|
||||
}
|
||||
|
||||
inline void vector3_mean_of_two_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, vector3_fp64_t* result)
|
||||
inline void bgc_vector3_mean_of_two_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, bgc_vector3_fp64_t* result)
|
||||
{
|
||||
result->x1 = (vector1->x1 + vector2->x1) * 0.5;
|
||||
result->x2 = (vector1->x2 + vector2->x2) * 0.5;
|
||||
|
|
@ -364,42 +304,42 @@ inline void vector3_mean_of_two_fp64(const vector3_fp64_t* vector1, const vector
|
|||
|
||||
// ================== Average3 ================== //
|
||||
|
||||
inline void vector3_mean_of_three_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, const vector3_fp32_t* vector3, vector3_fp32_t* result)
|
||||
inline void bgc_vector3_mean_of_three_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, const bgc_vector3_fp32_t* vector3, bgc_vector3_fp32_t* result)
|
||||
{
|
||||
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * FP32_ONE_THIRD;
|
||||
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * FP32_ONE_THIRD;
|
||||
result->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * FP32_ONE_THIRD;
|
||||
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP32;
|
||||
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP32;
|
||||
result->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP32;
|
||||
}
|
||||
|
||||
inline void vector3_mean_of_three_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, const vector3_fp64_t* vector3, vector3_fp64_t* result)
|
||||
inline void bgc_vector3_mean_of_three_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, const bgc_vector3_fp64_t* vector3, bgc_vector3_fp64_t* result)
|
||||
{
|
||||
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * FP64_ONE_THIRD;
|
||||
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * FP64_ONE_THIRD;
|
||||
result->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * FP64_ONE_THIRD;
|
||||
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_ONE_THIRD_FP64;
|
||||
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_ONE_THIRD_FP64;
|
||||
result->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_ONE_THIRD_FP64;
|
||||
}
|
||||
|
||||
// =============== Scalar Product =============== //
|
||||
|
||||
inline float vector3_scalar_product_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2)
|
||||
inline float bgc_vector3_scalar_product_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2)
|
||||
{
|
||||
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2 + vector1->x3 * vector2->x3;
|
||||
}
|
||||
|
||||
inline double vector3_scalar_product_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2)
|
||||
inline double bgc_vector3_scalar_product_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2)
|
||||
{
|
||||
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2 + vector1->x3 * vector2->x3;
|
||||
}
|
||||
|
||||
// =============== Triple Product =============== //
|
||||
|
||||
inline float vector3_triple_product_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, const vector3_fp32_t* vector3)
|
||||
inline float bgc_vector3_triple_product_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, const bgc_vector3_fp32_t* 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 vector3_triple_product_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, const vector3_fp64_t* vector3)
|
||||
inline double bgc_vector3_triple_product_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, const bgc_vector3_fp64_t* vector3)
|
||||
{
|
||||
return vector1->x1 * (vector2->x2 * vector3->x3 - vector2->x3 * vector3->x2)
|
||||
+ vector1->x2 * (vector2->x3 * vector3->x1 - vector2->x1 * vector3->x3)
|
||||
|
|
@ -408,7 +348,7 @@ inline double vector3_triple_product_fp64(const vector3_fp64_t* vector1, const v
|
|||
|
||||
// =============== Cross Product ================ //
|
||||
|
||||
inline void vector3_cross_product_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, vector3_fp32_t* result)
|
||||
inline void bgc_vector3_cross_product_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, bgc_vector3_fp32_t* result)
|
||||
{
|
||||
const float x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
|
||||
const float x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
|
||||
|
|
@ -419,7 +359,7 @@ inline void vector3_cross_product_fp32(const vector3_fp32_t* vector1, const vect
|
|||
result->x3 = x3;
|
||||
}
|
||||
|
||||
inline void vector3_cross_product_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, vector3_fp64_t* result)
|
||||
inline void bgc_vector3_cross_product_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, bgc_vector3_fp64_t* result)
|
||||
{
|
||||
const double x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
|
||||
const double x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
|
||||
|
|
@ -432,20 +372,20 @@ inline void vector3_cross_product_fp64(const vector3_fp64_t* vector1, const vect
|
|||
|
||||
// ============ Double Cross Product ============ //
|
||||
|
||||
inline void vector3_double_cross_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, const vector3_fp32_t* vector3, vector3_fp32_t* result)
|
||||
inline void bgc_vector3_double_cross_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, const bgc_vector3_fp32_t* vector3, bgc_vector3_fp32_t* result)
|
||||
{
|
||||
const float ac = vector3_scalar_product_fp32(vector1, vector3);
|
||||
const float ab = vector3_scalar_product_fp32(vector1, vector2);
|
||||
const float ac = bgc_vector3_scalar_product_fp32(vector1, vector3);
|
||||
const float ab = bgc_vector3_scalar_product_fp32(vector1, vector2);
|
||||
|
||||
result->x1 = vector2->x1 * ac - vector3->x1 * ab;
|
||||
result->x2 = vector2->x2 * ac - vector3->x2 * ab;
|
||||
result->x3 = vector2->x3 * ac - vector3->x3 * ab;
|
||||
}
|
||||
|
||||
inline void vector3_double_cross_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, const vector3_fp64_t* vector3, vector3_fp64_t* result)
|
||||
inline void bgc_vector3_double_cross_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, const bgc_vector3_fp64_t* vector3, bgc_vector3_fp64_t* result)
|
||||
{
|
||||
const double ac = vector3_scalar_product_fp64(vector1, vector3);
|
||||
const double ab = vector3_scalar_product_fp64(vector1, vector2);
|
||||
const double ac = bgc_vector3_scalar_product_fp64(vector1, vector3);
|
||||
const double ab = bgc_vector3_scalar_product_fp64(vector1, vector2);
|
||||
|
||||
result->x1 = vector2->x1 * ac - vector3->x1 * ab;
|
||||
result->x2 = vector2->x2 * ac - vector3->x2 * ab;
|
||||
|
|
@ -454,63 +394,63 @@ inline void vector3_double_cross_fp64(const vector3_fp64_t* vector1, const vecto
|
|||
|
||||
// =============== Normalization ================ //
|
||||
|
||||
inline int vector3_normalize_fp32(vector3_fp32_t* vector)
|
||||
inline int bgc_vector3_normalize_fp32(bgc_vector3_fp32_t* vector)
|
||||
{
|
||||
const float square_modulus = vector3_get_square_modulus_fp32(vector);
|
||||
const float square_modulus = bgc_vector3_get_square_modulus_fp32(vector);
|
||||
|
||||
if (1.0f - FP32_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP32_TWO_EPSYLON) {
|
||||
if (1.0f - BGC_TWO_EPSYLON_FP32 <= square_modulus && square_modulus <= 1.0f + BGC_TWO_EPSYLON_FP32) {
|
||||
return 1;
|
||||
}
|
||||
|
||||
if (square_modulus <= FP32_SQUARE_EPSYLON) {
|
||||
vector3_reset_fp32(vector);
|
||||
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
|
||||
bgc_vector3_reset_fp32(vector);
|
||||
return 0;
|
||||
}
|
||||
|
||||
vector3_multiply_fp32(vector, sqrtf(1.0f / square_modulus), vector);
|
||||
bgc_vector3_multiply_fp32(vector, sqrtf(1.0f / square_modulus), vector);
|
||||
return 1;
|
||||
}
|
||||
|
||||
inline int vector3_normalize_fp64(vector3_fp64_t* vector)
|
||||
inline int bgc_vector3_normalize_fp64(bgc_vector3_fp64_t* vector)
|
||||
{
|
||||
const double square_modulus = vector3_get_square_modulus_fp64(vector);
|
||||
const double square_modulus = bgc_vector3_get_square_modulus_fp64(vector);
|
||||
|
||||
if (1.0 - FP64_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0 + FP64_TWO_EPSYLON) {
|
||||
if (1.0 - BGC_TWO_EPSYLON_FP64 <= square_modulus && square_modulus <= 1.0 + BGC_TWO_EPSYLON_FP64) {
|
||||
return 1;
|
||||
}
|
||||
|
||||
if (square_modulus <= FP64_SQUARE_EPSYLON) {
|
||||
vector3_reset_fp64(vector);
|
||||
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
|
||||
bgc_vector3_reset_fp64(vector);
|
||||
return 0;
|
||||
}
|
||||
|
||||
vector3_multiply_fp64(vector, sqrt(1.0 / square_modulus), vector);
|
||||
bgc_vector3_multiply_fp64(vector, sqrt(1.0 / square_modulus), vector);
|
||||
return 1;
|
||||
}
|
||||
|
||||
// =============== Set Normalized =============== //
|
||||
|
||||
inline int vector3_set_normalized_fp32(const vector3_fp32_t* vector, vector3_fp32_t* result)
|
||||
inline int bgc_vector3_set_normalized_fp32(const bgc_vector3_fp32_t* vector, bgc_vector3_fp32_t* result)
|
||||
{
|
||||
vector3_copy_fp32(vector, result);
|
||||
return vector3_normalize_fp32(result);
|
||||
bgc_vector3_copy_fp32(vector, result);
|
||||
return bgc_vector3_normalize_fp32(result);
|
||||
}
|
||||
|
||||
inline int vector3_set_normalized_fp64(const vector3_fp64_t* vector, vector3_fp64_t* result)
|
||||
inline int bgc_vector3_set_normalized_fp64(const bgc_vector3_fp64_t* vector, bgc_vector3_fp64_t* result)
|
||||
{
|
||||
vector3_copy_fp64(vector, result);
|
||||
return vector3_normalize_fp64(result);
|
||||
bgc_vector3_copy_fp64(vector, result);
|
||||
return bgc_vector3_normalize_fp64(result);
|
||||
}
|
||||
|
||||
// =================== Angle ==================== //
|
||||
|
||||
float vector3_get_angle_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2, const angle_unit_t unit);
|
||||
float bgc_vector3_get_angle_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2, const bgc_angle_unit_t unit);
|
||||
|
||||
double vector3_get_angle_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2, const angle_unit_t unit);
|
||||
double bgc_vector3_get_angle_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2, const bgc_angle_unit_t unit);
|
||||
|
||||
// =============== Square Distance ============== //
|
||||
|
||||
inline float vector3_get_square_distance_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2)
|
||||
inline float bgc_vector3_get_square_distance_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2)
|
||||
{
|
||||
const float dx1 = (vector1->x1 - vector2->x1);
|
||||
const float dx2 = (vector1->x2 - vector2->x2);
|
||||
|
|
@ -519,7 +459,7 @@ inline float vector3_get_square_distance_fp32(const vector3_fp32_t* vector1, con
|
|||
return dx1 * dx1 + dx2 * dx2 + dx3 * dx3;
|
||||
}
|
||||
|
||||
inline double vector3_get_square_distance_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2)
|
||||
inline double bgc_vector3_get_square_distance_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2)
|
||||
{
|
||||
const double dx1 = (vector1->x1 - vector2->x1);
|
||||
const double dx2 = (vector1->x2 - vector2->x2);
|
||||
|
|
@ -530,52 +470,52 @@ inline double vector3_get_square_distance_fp64(const vector3_fp64_t* vector1, co
|
|||
|
||||
// ================== Distance ================== //
|
||||
|
||||
inline float vector3_get_distance_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2)
|
||||
inline float bgc_vector3_get_distance_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2)
|
||||
{
|
||||
return sqrtf(vector3_get_square_distance_fp32(vector1, vector2));
|
||||
return sqrtf(bgc_vector3_get_square_distance_fp32(vector1, vector2));
|
||||
}
|
||||
|
||||
inline double vector3_get_distance_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2)
|
||||
inline double bgc_vector3_get_distance_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2)
|
||||
{
|
||||
return sqrt(vector3_get_square_distance_fp64(vector1, vector2));
|
||||
return sqrt(bgc_vector3_get_square_distance_fp64(vector1, vector2));
|
||||
}
|
||||
|
||||
// ================== Are Equal ================= //
|
||||
|
||||
inline int vector3_are_equal_fp32(const vector3_fp32_t* vector1, const vector3_fp32_t* vector2)
|
||||
inline int bgc_vector3_are_equal_fp32(const bgc_vector3_fp32_t* vector1, const bgc_vector3_fp32_t* vector2)
|
||||
{
|
||||
const float square_modulus1 = vector3_get_square_modulus_fp32(vector1);
|
||||
const float square_modulus2 = vector3_get_square_modulus_fp32(vector2);
|
||||
const float square_modulus3 = vector3_get_square_distance_fp32(vector1, 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_modulus3 = bgc_vector3_get_square_distance_fp32(vector1, vector2);
|
||||
|
||||
// 3.0f means dimension amount
|
||||
if (square_modulus1 < FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 < FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
|
||||
return square_modulus3 < (3.0f * FP32_SQUARE_EPSYLON);
|
||||
if (square_modulus1 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_modulus2 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
|
||||
return square_modulus3 < (3.0f * BGC_SQUARE_EPSYLON_FP32);
|
||||
}
|
||||
|
||||
if (square_modulus1 <= square_modulus2) {
|
||||
return square_modulus3 <= (3.0f * FP32_SQUARE_EPSYLON) * square_modulus2;
|
||||
return square_modulus3 <= (3.0f * BGC_SQUARE_EPSYLON_FP32) * square_modulus2;
|
||||
}
|
||||
|
||||
return square_modulus3 <= (3.0f * FP32_SQUARE_EPSYLON) * square_modulus1;
|
||||
return square_modulus3 <= (3.0f * BGC_SQUARE_EPSYLON_FP32) * square_modulus1;
|
||||
}
|
||||
|
||||
inline int vector3_are_equal_fp64(const vector3_fp64_t* vector1, const vector3_fp64_t* vector2)
|
||||
inline int bgc_vector3_are_equal_fp64(const bgc_vector3_fp64_t* vector1, const bgc_vector3_fp64_t* vector2)
|
||||
{
|
||||
const double square_modulus1 = vector3_get_square_modulus_fp64(vector1);
|
||||
const double square_modulus2 = vector3_get_square_modulus_fp64(vector2);
|
||||
const double square_modulus3 = vector3_get_square_distance_fp64(vector1, 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_modulus3 = bgc_vector3_get_square_distance_fp64(vector1, vector2);
|
||||
|
||||
// 3.0 means dimension amount
|
||||
if (square_modulus1 < FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 < FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
|
||||
return square_modulus3 < (3.0 * FP64_SQUARE_EPSYLON);
|
||||
if (square_modulus1 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_modulus2 < BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
|
||||
return square_modulus3 < (3.0 * BGC_SQUARE_EPSYLON_FP64);
|
||||
}
|
||||
|
||||
if (square_modulus1 <= square_modulus2) {
|
||||
return square_modulus3 <= (3.0 * FP64_SQUARE_EPSYLON) * square_modulus2;
|
||||
return square_modulus3 <= (3.0 * BGC_SQUARE_EPSYLON_FP64) * square_modulus2;
|
||||
}
|
||||
|
||||
return square_modulus3 <= (3.0 * FP64_SQUARE_EPSYLON) * square_modulus1;
|
||||
return square_modulus3 <= (3.0 * BGC_SQUARE_EPSYLON_FP64) * square_modulus1;
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue