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Добавление арифметических операций для дуальных кватернионов

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This commit is contained in:
Andrey Pokidov 2026-02-05 01:47:52 +07:00
parent b470a3194b
commit b0b064de5a
24 changed files with 171 additions and 102 deletions
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4
basic-geometry/angle.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_ANGLE_H_
#define _BGC_ANGLE_H_
#ifndef _BGC_ANGLE_H_INCLUDED_
#define _BGC_ANGLE_H_INCLUDED_
#include <math.h>
#include "utilities.h"

4
basic-geometry/basic-geometry.h
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@ -1,5 +1,5 @@
#ifndef _BGC_H_
#define _BGC_H_
#ifndef _BGC_H_INCLUDED_
#define _BGC_H_INCLUDED_
#include "./utilities.h"

11
basic-geometry/basic-geometry.vcxproj
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@ -24,7 +24,6 @@
<ClInclude Include="angle.h" />
<ClInclude Include="basic-geometry.h" />
<ClInclude Include="complex.h" />
<ClInclude Include="cotes-number.h" />
<ClInclude Include="dual-number.h" />
<ClInclude Include="dual-quaternion.h" />
<ClInclude Include="dual-vector3.h" />
@ -38,11 +37,10 @@
<ClInclude Include="position2.h" />
<ClInclude Include="position3.h" />
<ClInclude Include="quaternion.h" />
<ClInclude Include="rotation3.h" />
<ClInclude Include="types.h" />
<ClInclude Include="turn2.h" />
<ClInclude Include="turn3.h" />
<ClInclude Include="utilities.h" />
<ClInclude Include="slerp.h" />
<ClInclude Include="versor.h" />
<ClInclude Include="vector2.h" />
<ClInclude Include="vector3.h" />
</ItemGroup>
@ -51,7 +49,6 @@
<ClCompile Include="affine3.c" />
<ClCompile Include="angle.c" />
<ClInclude Include="complex.c" />
<ClInclude Include="cotes-number.c" />
<ClCompile Include="dual-number.c" />
<ClCompile Include="dual-quaternion.c" />
<ClCompile Include="dual-vector3.c" />
@ -59,6 +56,8 @@
<ClCompile Include="hg-vector3.c" />
<ClCompile Include="position2.c" />
<ClCompile Include="position3.c" />
<ClCompile Include="turn2.c" />
<ClCompile Include="turn3.c" />
<ClCompile Include="utilities.c" />
<ClCompile Include="matrix2x2.c" />
<ClCompile Include="matrix2x3.c" />
@ -66,9 +65,7 @@
<ClCompile Include="matrix3x3.c" />
<ClCompile Include="matrices.c" />
<ClCompile Include="quaternion.c" />
<ClCompile Include="rotation3.c" />
<ClCompile Include="slerp.c" />
<ClCompile Include="versor.c" />
<ClCompile Include="vector2.c" />
<ClCompile Include="vector3.c" />
</ItemGroup>

33
basic-geometry/basic-geometry.vcxproj.filters
View file

@ -21,9 +21,6 @@
<ClInclude Include="complex.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="cotes-number.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="utilities.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
@ -36,12 +33,6 @@
<ClInclude Include="matrix3x3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="rotation3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="versor.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="vector2.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
@ -63,15 +54,9 @@
<ClInclude Include="complex.c">
<Filter>Исходные файлы</Filter>
</ClInclude>
<ClInclude Include="cotes-number.c">
<Filter>Исходные файлы</Filter>
</ClInclude>
<ClInclude Include="slerp.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="types.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="affine3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
@ -99,6 +84,12 @@
<ClInclude Include="hg-matrix3x3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="turn2.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="turn3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
</ItemGroup>
<ItemGroup>
<ClCompile Include="angle.c">
@ -113,18 +104,12 @@
<ClCompile Include="matrix3x3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="versor.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="vector2.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="vector3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="rotation3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="quaternion.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
@ -167,5 +152,11 @@
<ClCompile Include="hg-matrix3x3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="turn2.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="turn3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
</ItemGroup>
</Project>

4
basic-geometry/complex.h
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@ -1,5 +1,5 @@
#ifndef _BGC_COMPLEX_H_
#define _BGC_COMPLEX_H_
#ifndef _BGC_COMPLEX_H_INCLUDED_
#define _BGC_COMPLEX_H_INCLUDED_
#include "utilities.h"
#include "angle.h"

4
basic-geometry/dual-number.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_DUAL_NUMBER_H_
#define _BGC_DUAL_NUMBER_H_
#ifndef _BGC_DUAL_NUMBER_H_INCLUDED_
#define _BGC_DUAL_NUMBER_H_INCLUDED_
#include "utilities.h"

15
basic-geometry/dual-quaternion.c
View file

@ -20,3 +20,18 @@ extern inline void bgc_fp64_dual_quaternion_add_scaled(BGC_FP64_DualQuaternion*
extern inline void bgc_fp32_dual_quaternion_subtract(BGC_FP32_DualQuaternion* difference, const BGC_FP32_DualQuaternion* minuend, const BGC_FP32_DualQuaternion* subtrahend);
extern inline void bgc_fp64_dual_quaternion_subtract(BGC_FP64_DualQuaternion* difference, const BGC_FP64_DualQuaternion* minuend, const BGC_FP64_DualQuaternion* subtrahend);
extern inline void bgc_fp32_dual_quaternion_multiply(BGC_FP32_DualQuaternion* product, const BGC_FP32_DualQuaternion* multiplicand, const float multipier);
extern inline void bgc_fp64_dual_quaternion_multiply(BGC_FP64_DualQuaternion* product, const BGC_FP64_DualQuaternion* multiplicand, const double multipier);
extern inline void bgc_fp32_dual_quaternion_divide(BGC_FP32_DualQuaternion* quotient, const BGC_FP32_DualQuaternion* divident, const float divisor);
extern inline void bgc_fp64_dual_quaternion_divide(BGC_FP64_DualQuaternion* quotient, const BGC_FP64_DualQuaternion* divident, const double divisor);
extern inline void bgc_fp32_dual_quaternion_get_mean2(BGC_FP32_DualQuaternion* mean, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2);
extern inline void bgc_fp64_dual_quaternion_get_mean2(BGC_FP64_DualQuaternion* mean, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2);
extern inline void bgc_fp32_dual_quaternion_get_mean3(BGC_FP32_DualQuaternion* mean, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2, const BGC_FP32_DualQuaternion* quaternion3);
extern inline void bgc_fp64_dual_quaternion_get_mean3(BGC_FP64_DualQuaternion* mean, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2, const BGC_FP64_DualQuaternion* quaternion3);
extern inline void bgc_fp32_dual_quaternion_interpolate(BGC_FP32_DualQuaternion* interpolation, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2, const float phase);
extern inline void bgc_fp64_dual_quaternion_interpolate(BGC_FP64_DualQuaternion* interpolation, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2, const double phase);

72
basic-geometry/dual-quaternion.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_DUAL_QUATERNION_H_
#define _BGC_DUAL_QUATERNION_H_
#ifndef _BGC_DUAL_QUATERNION_H_INCLUDED_
#define _BGC_DUAL_QUATERNION_H_INCLUDED_
#include "quaternion.h"
@ -111,4 +111,72 @@ inline void bgc_fp64_dual_quaternion_subtract(BGC_FP64_DualQuaternion* differenc
bgc_fp64_quaternion_subtract(&difference->dual, &minuend->dual, &subtrahend->dual);
}
// ================== Multiply ================== //
inline void bgc_fp32_dual_quaternion_multiply(BGC_FP32_DualQuaternion* product, const BGC_FP32_DualQuaternion* multiplicand, const float multipier)
{
bgc_fp32_quaternion_multiply(&product->real, &multiplicand->real, multipier);
bgc_fp32_quaternion_multiply(&product->dual, &multiplicand->dual, multipier);
}
inline void bgc_fp64_dual_quaternion_multiply(BGC_FP64_DualQuaternion* product, const BGC_FP64_DualQuaternion* multiplicand, const double multipier)
{
bgc_fp64_quaternion_multiply(&product->real, &multiplicand->real, multipier);
bgc_fp64_quaternion_multiply(&product->dual, &multiplicand->dual, multipier);
}
// =================== Divide =================== //
inline void bgc_fp32_dual_quaternion_divide(BGC_FP32_DualQuaternion* quotient, const BGC_FP32_DualQuaternion* divident, const float divisor)
{
bgc_fp32_dual_quaternion_multiply(quotient, divident, 1.0f / divisor);
}
inline void bgc_fp64_dual_quaternion_divide(BGC_FP64_DualQuaternion* quotient, const BGC_FP64_DualQuaternion* divident, const double divisor)
{
bgc_fp64_dual_quaternion_multiply(quotient, divident, 1.0 / divisor);
}
// ================ Mean of Two ================= //
inline void bgc_fp32_dual_quaternion_get_mean2(BGC_FP32_DualQuaternion* mean, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2)
{
bgc_fp32_quaternion_get_mean2(&mean->real, &quaternion1->real, &quaternion2->real);
bgc_fp32_quaternion_get_mean2(&mean->dual, &quaternion1->dual, &quaternion2->dual);
}
inline void bgc_fp64_dual_quaternion_get_mean2(BGC_FP64_DualQuaternion* mean, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2)
{
bgc_fp64_quaternion_get_mean2(&mean->real, &quaternion1->real, &quaternion2->real);
bgc_fp64_quaternion_get_mean2(&mean->dual, &quaternion1->dual, &quaternion2->dual);
}
// =============== Mean of Three ================ //
inline void bgc_fp32_dual_quaternion_get_mean3(BGC_FP32_DualQuaternion* mean, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2, const BGC_FP32_DualQuaternion* quaternion3)
{
bgc_fp32_quaternion_get_mean3(&mean->real, &quaternion1->real, &quaternion2->real, &quaternion3->real);
bgc_fp32_quaternion_get_mean3(&mean->dual, &quaternion1->dual, &quaternion2->dual, &quaternion3->dual);
}
inline void bgc_fp64_dual_quaternion_get_mean3(BGC_FP64_DualQuaternion* mean, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2, const BGC_FP64_DualQuaternion* quaternion3)
{
bgc_fp64_quaternion_get_mean3(&mean->real, &quaternion1->real, &quaternion2->real, &quaternion3->real);
bgc_fp64_quaternion_get_mean3(&mean->dual, &quaternion1->dual, &quaternion2->dual, &quaternion3->dual);
}
// ============ Linear Interpolation ============ //
inline void bgc_fp32_dual_quaternion_interpolate(BGC_FP32_DualQuaternion* interpolation, const BGC_FP32_DualQuaternion* quaternion1, const BGC_FP32_DualQuaternion* quaternion2, const float phase)
{
bgc_fp32_quaternion_interpolate(&interpolation->real, &quaternion1->real, &quaternion2->real, phase);
bgc_fp32_quaternion_interpolate(&interpolation->dual, &quaternion1->dual, &quaternion2->dual, phase);
}
inline void bgc_fp64_dual_quaternion_interpolate(BGC_FP64_DualQuaternion* interpolation, const BGC_FP64_DualQuaternion* quaternion1, const BGC_FP64_DualQuaternion* quaternion2, const double phase)
{
bgc_fp64_quaternion_interpolate(&interpolation->real, &quaternion1->real, &quaternion2->real, phase);
bgc_fp64_quaternion_interpolate(&interpolation->dual, &quaternion1->dual, &quaternion2->dual, phase);
}
#endif

9
basic-geometry/dual-vector3.c
View file

@ -32,3 +32,12 @@ extern inline void bgc_fp64_dual_vector3_multiply(BGC_FP64_DualVector3* product,
extern inline void bgc_fp32_dual_vector3_divide(BGC_FP32_DualVector3* quotient, const BGC_FP32_DualVector3* dividend, const float divisor);
extern inline void bgc_fp64_dual_vector3_divide(BGC_FP64_DualVector3* quotient, const BGC_FP64_DualVector3* dividend, const double divisor);
extern inline void bgc_fp32_dual_vector3_get_mean2(BGC_FP32_DualVector3* mean, const BGC_FP32_DualVector3* vector1, const BGC_FP32_DualVector3* vector2);
extern inline void bgc_fp64_dual_vector3_get_mean2(BGC_FP64_DualVector3* mean, const BGC_FP64_DualVector3* vector1, const BGC_FP64_DualVector3* vector2);
extern inline void bgc_fp32_dual_vector3_get_mean3(BGC_FP32_DualVector3* mean, const BGC_FP32_DualVector3* vector1, const BGC_FP32_DualVector3* vector2, const BGC_FP32_DualVector3* vector3);
extern inline void bgc_fp64_dual_vector3_get_mean3(BGC_FP64_DualVector3* mean, const BGC_FP64_DualVector3* vector1, const BGC_FP64_DualVector3* vector2, const BGC_FP64_DualVector3* vector3);
extern inline void bgc_fp32_dual_vector3_interpolate(BGC_FP32_DualVector3* interpolation, const BGC_FP32_DualVector3* quaternion1, const BGC_FP32_DualVector3* quaternion2, const float phase);
extern inline void bgc_fp64_dual_vector3_interpolate(BGC_FP64_DualVector3* interpolation, const BGC_FP64_DualVector3* quaternion1, const BGC_FP64_DualVector3* quaternion2, const double phase);

18
basic-geometry/dual-vector3.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_DUAL_VECTOR3_H_INCLUDE_
#define _BGC_DUAL_VECTOR3_H_INCLUDE_
#ifndef _BGC_DUAL_VECTOR3_H_INCLUDED_
#define _BGC_DUAL_VECTOR3_H_INCLUDED_
#include "./vector3.h"
@ -197,4 +197,18 @@ inline void bgc_fp64_dual_vector3_get_mean3(BGC_FP64_DualVector3* mean, const BG
bgc_fp64_vector3_get_mean3(&mean->dual, &vector1->dual, &vector2->dual, &vector3->dual);
}
// ============ Linear Interpolation ============ //
inline void bgc_fp32_dual_vector3_interpolate(BGC_FP32_DualVector3* interpolation, const BGC_FP32_DualVector3* quaternion1, const BGC_FP32_DualVector3* quaternion2, const float phase)
{
bgc_fp32_vector3_interpolate(&interpolation->real, &quaternion1->real, &quaternion2->real, phase);
bgc_fp32_vector3_interpolate(&interpolation->dual, &quaternion1->dual, &quaternion2->dual, phase);
}
inline void bgc_fp64_dual_vector3_interpolate(BGC_FP64_DualVector3* interpolation, const BGC_FP64_DualVector3* quaternion1, const BGC_FP64_DualVector3* quaternion2, const double phase)
{
bgc_fp64_vector3_interpolate(&interpolation->real, &quaternion1->real, &quaternion2->real, phase);
bgc_fp64_vector3_interpolate(&interpolation->dual, &quaternion1->dual, &quaternion2->dual, phase);
}
#endif

4
basic-geometry/matrices.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRICES_H_
#define _BGC_MATRICES_H_
#ifndef _BGC_MATRICES_H_INCLUDED_
#define _BGC_MATRICES_H_INCLUDED_
// ================== Matrix2x2 ================= //

4
basic-geometry/matrix2x2.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRIX2X2_H_
#define _BGC_MATRIX2X2_H_
#ifndef _BGC_MATRIX2X2_H_INCLUDED_
#define _BGC_MATRIX2X2_H_INCLUDED_
#include "angle.h"
#include "vector2.h"

4
basic-geometry/matrix2x3.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRIX2X3_H_
#define _BGC_MATRIX2X3_H_
#ifndef _BGC_MATRIX2X3_H_INCLUDED_
#define _BGC_MATRIX2X3_H_INCLUDED_
#include "vector2.h"
#include "vector3.h"

4
basic-geometry/matrix3x2.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRIX3X2_H_
#define _BGC_MATRIX3X2_H_
#ifndef _BGC_MATRIX3X2_H_INCLUDED_
#define _BGC_MATRIX3X2_H_INCLUDED_
#include "vector2.h"
#include "vector3.h"

4
basic-geometry/matrix3x3.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRIX3X3_H_
#define _BGC_MATRIX3X3_H_
#ifndef _BGC_MATRIX3X3_H_INCLUDED_
#define _BGC_MATRIX3X3_H_INCLUDED_
#include "vector3.h"
#include "matrices.h"

4
basic-geometry/quaternion.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_QUATERNION_H_
#define _BGC_QUATERNION_H_
#ifndef _BGC_QUATERNION_H_INCLUDED_
#define _BGC_QUATERNION_H_INCLUDED_
#include <math.h>

4
basic-geometry/slerp.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_VERSOR_SLERP_H_
#define _BGC_VERSOR_SLERP_H_
#ifndef _BGC_SLERP_H_INCLUDED_
#define _BGC_SLERP_H_INCLUDED_
#include "./turn3.h"

4
basic-geometry/turn2.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_COTES_NUMBER_H_
#define _BGC_COTES_NUMBER_H_
#ifndef _BGC_TURN2_H_INCLUDED_
#define _BGC_TURN2_H_INCLUDED_
#include <math.h>

23
basic-geometry/turn3.c
View file

@ -192,7 +192,7 @@ void bgc_fp64_turn3_set_rotation(BGC_FP64_Turn3* turn, const double x1, const do
const double multiplier = sine / sqrt(square_vector);
bgc_fp64_quaternion_make(&turn->_versor, cosf(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier);
bgc_fp64_quaternion_make(&turn->_versor, cos(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier);
const double square_modulus = bgc_fp64_quaternion_get_square_modulus(&turn->_versor);
@ -203,7 +203,7 @@ void bgc_fp64_turn3_set_rotation(BGC_FP64_Turn3* turn, const double x1, const do
// ========= Make Direction Difference ========== //
static int _bgc_fp32_turn3_make_direction_turn(BGC_FP32_Turn3* turn, const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, const float square_modulus)
static int _bgc_fp32_turn3_make_direction_turn(BGC_FP32_Turn3* turn, const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, const float square_modulus_product)
{
BGC_FP32_Vector3 orthogonal_axis;
@ -213,13 +213,13 @@ static int _bgc_fp32_turn3_make_direction_turn(BGC_FP32_Turn3* turn, const BGC_F
const float square_modulus = bgc_fp32_vector3_get_square_modulus(&orthogonal_axis);
const float square_sine = square_modulus / square_modulus_product;
if (square_sine > BGC_FP64_SQUARE_EPSILON) {
if (square_sine > BGC_FP32_SQUARE_EPSILON) {
const float cosine = scalar_product / sqrtf(square_modulus_product);
const float angle = 0.5 * atan2f(sqrtf(square_sine), cosine);
const float angle = 0.5f * atan2f(sqrtf(square_sine), cosine);
const float multiplier = sin(angle) * sqrtf(1.0f / square_modulus);
const float multiplier = sinf(angle) * sqrtf(1.0f / square_modulus);
bgc_fp32_turn3_set_raw_values(versor, cosf(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier);
bgc_fp32_turn3_set_raw_values(turn, cosf(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier);
return BGC_SOME_TURN;
}
@ -227,7 +227,7 @@ static int _bgc_fp32_turn3_make_direction_turn(BGC_FP32_Turn3* turn, const BGC_F
return BGC_OPPOSITE;
}
bgc_fp32_turn3_reset(versor);
bgc_fp32_turn3_reset(turn);
return BGC_ZERO_TURN;
}
@ -273,15 +273,6 @@ int bgc_fp32_turn3_find_direction_difference(BGC_FP32_Turn3* difference, const B
return BGC_ZERO_TURN;
}
const double scalar_product = bgc_fp64_vector3_get_dot_product(start, end);
if () {
}
BGC_FP64_Vector3 orthogonal_axis;
bgc_fp64_vector3_get_cross_product(&orthogonal_axis, start, end);
return _bgc_fp32_turn3_make_direction_turn(difference, start, end, start_square_modulus * end_square_modulus);
}

4
basic-geometry/turn3.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_VERSOR_H_
#define _BGC_VERSOR_H_
#ifndef _BGC_TURN3_H_INCLUDED_
#define _BGC_TURN3_H_INCLUDED_
#include <stdint.h>

16
basic-geometry/types.h
View file

@ -1,16 +0,0 @@
#ifndef _BGC_TYPES_H_
#define _BGC_TYPES_H_
// ================== Complex =================== //
typedef struct
{
float real, imaginary;
} BgcComplexFP32;
typedef struct
{
double real, imaginary;
} BgcComplexFP64;
#endif

4
basic-geometry/utilities.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_UTILITIES_H_
#define _BGC_UTILITIES_H_
#ifndef _BGC_UTILITIES_H_INCLUDED_
#define _BGC_UTILITIES_H_INCLUDED_
#define BGC_FP32_EPSILON_EFFECTIVENESS_LIMIT 1.0f

4
basic-geometry/vector2.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_VECTOR2_H_
#define _BGC_VECTOR2_H_
#ifndef _BGC_VECTOR2_H_INCLUDED_
#define _BGC_VECTOR2_H_INCLUDED_
#include "utilities.h"
#include "angle.h"

4
basic-geometry/vector3.h
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@ -1,5 +1,5 @@
#ifndef _BGC_VECTOR3_H_
#define _BGC_VECTOR3_H_
#ifndef _BGC_VECTOR3_H_INCLUDED_
#define _BGC_VECTOR3_H_INCLUDED_
#include "utilities.h"
#include "angle.h"