Kimelas/bgc-c
2
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

Добавление новых функций, возвращение функций subtract_scaled

Browse source
This commit is contained in:
Andrey Pokidov 2026-02-15 23:41:01 +07:00
parent 727961ad98
commit 1075624d05
26 changed files with 836 additions and 292 deletions
Download patch file Download diff file Expand all files Collapse all files

4
basic-geometry/basic-geometry.vcxproj
View file

@ -24,7 +24,7 @@
<ClInclude Include="angle.h" />
<ClInclude Include="basic-geometry.h" />
<ClInclude Include="complex.h" />
<ClInclude Include="dual-scalar.h" />
<ClInclude Include="dual-number.h" />
<ClInclude Include="dual-quaternion.h" />
<ClInclude Include="dual-vector3.h" />
<ClInclude Include="matrix2x2.h" />
@ -47,7 +47,7 @@
<ClCompile Include="affine3.c" />
<ClCompile Include="angle.c" />
<ClInclude Include="complex.c" />
<ClCompile Include="dual-scalar.c" />
<ClCompile Include="dual-number.c" />
<ClCompile Include="dual-quaternion.c" />
<ClCompile Include="dual-vector3.c" />
<ClCompile Include="position2.c" />

4
basic-geometry/basic-geometry.vcxproj.filters
View file

@ -78,7 +78,7 @@
<ClInclude Include="turn3.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="dual-scalar.h">
<ClInclude Include="dual-number.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="slerp3.h">
@ -137,7 +137,7 @@
<ClCompile Include="turn3.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="dual-scalar.c">
<ClCompile Include="dual-number.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="slerp3.c">

3
basic-geometry/complex.c
View file

@ -60,6 +60,9 @@ extern inline void bgc_fp64_complex_add_scaled(BGC_FP64_Complex* sum, const BGC_
extern inline void bgc_fp32_complex_subtract(BGC_FP32_Complex* difference, const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend);
extern inline void bgc_fp64_complex_subtract(BGC_FP64_Complex* difference, const BGC_FP64_Complex* minuend, const BGC_FP64_Complex* subtrahend);
extern inline void bgc_fp32_complex_subtract_scaled(BGC_FP32_Complex* difference, const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale);
extern inline void bgc_fp64_complex_subtract_scaled(BGC_FP64_Complex* difference, const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale);
extern inline void bgc_fp32_complex_multiply_by_real(BGC_FP32_Complex* product, const BGC_FP32_Complex* multiplicand, const float multiplier);
extern inline void bgc_fp64_complex_multiply_by_real(BGC_FP64_Complex* product, const BGC_FP64_Complex* multiplicand, const double multiplier);

16
basic-geometry/complex.h
View file

@ -337,7 +337,7 @@ inline void bgc_fp64_complex_add(BGC_FP64_Complex* sum, const BGC_FP64_Complex*
sum->imaginary = number1->imaginary + number2->imaginary;
}
// ================= Add scaled ================= //
// ================= Add Scaled ================= //
inline void bgc_fp32_complex_add_scaled(BGC_FP32_Complex* sum, const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale)
{
@ -365,6 +365,20 @@ inline void bgc_fp64_complex_subtract(BGC_FP64_Complex* difference, const BGC_FP
difference->imaginary = minuend->imaginary - subtrahend->imaginary;
}
// ============== Subtract Scaled =============== //
inline void bgc_fp32_complex_subtract_scaled(BGC_FP32_Complex* difference, const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale)
{
difference->real = basic_number->real - scalable_number->real * scale;
difference->imaginary = basic_number->imaginary - scalable_number->imaginary * scale;
}
inline void bgc_fp64_complex_subtract_scaled(BGC_FP64_Complex* difference, const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale)
{
difference->real = basic_number->real - scalable_number->real * scale;
difference->imaginary = basic_number->imaginary - scalable_number->imaginary * scale;
}
// ========== Multiply By Real Number =========== //
inline void bgc_fp32_complex_multiply_by_real(BGC_FP32_Complex* product, const BGC_FP32_Complex* multiplicand, const float multiplier)

73
basic-geometry/dual-number.c Normal file
View file

@ -0,0 +1,73 @@
#include "./dual-number.h"
extern inline void bgc_fp32_dual_number_reset(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_reset(BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_make(BGC_FP32_DualNumber* number, const float real_part, const float dual_part);
extern inline void bgc_fp64_dual_number_make(BGC_FP64_DualNumber* number, const double real_part, const double dual_part);
extern inline void bgc_fp32_dual_number_copy(BGC_FP32_DualNumber* destination, const BGC_FP32_DualNumber* source);
extern inline void bgc_fp64_dual_number_copy(BGC_FP64_DualNumber* destination, const BGC_FP64_DualNumber* source);
extern inline void bgc_fp32_dual_number_swap(BGC_FP32_DualNumber* first, BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualNumber* second);
extern inline void bgc_fp64_dual_number_convert_to_fp32(BGC_FP32_DualNumber* first, BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_convert_to_fp64(BGC_FP64_DualNumber* first, BGC_FP32_DualNumber* second);
extern inline void bgc_fp32_dual_number_revert(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_revert(BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_get_reverse(BGC_FP32_DualNumber* reverse, const BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_get_reverse(BGC_FP64_DualNumber* reverse, const BGC_FP64_DualNumber* number);
extern inline int bgc_fp32_dual_number_invert(BGC_FP32_DualNumber* number);
extern inline int bgc_fp64_dual_number_invert(BGC_FP64_DualNumber* number);
extern inline int bgc_fp32_dual_number_get_inverse(BGC_FP32_DualNumber* inverse, const BGC_FP32_DualNumber* number);
extern inline int bgc_fp64_dual_number_get_inverse(BGC_FP64_DualNumber* inverse, const BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_conjugate(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_conjugate(BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_get_conjugate(BGC_FP32_DualNumber* conjugate, const BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_get_conjugate(BGC_FP64_DualNumber* conjugate, const BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_add_scaled(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
extern inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);
extern inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend);
extern inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend);
extern inline void bgc_fp32_dual_number_subtract_scaled(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
extern inline void bgc_fp64_dual_number_subtract_scaled(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);
extern inline void bgc_fp32_dual_number_multiply_by_real(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier);
extern inline void bgc_fp64_dual_number_multiply_by_real(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier);
extern inline void bgc_fp32_dual_number_multiply_by_dual(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier);
extern inline void bgc_fp64_dual_number_multiply_by_dual(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier);
extern inline void bgc_fp32_dual_number_multiply_by_conjugate(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier_to_conjugate);
extern inline void bgc_fp64_dual_number_multiply_by_conjugate(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier_to_conjugate);
extern inline int bgc_fp32_dual_number_divide_by_real(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor);
extern inline int bgc_fp64_dual_number_divide_by_real(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor);
extern inline int bgc_fp32_dual_number_divide_by_dual(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor);
extern inline int bgc_fp64_dual_number_divide_by_dual(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor);
extern inline int bgc_fp32_dual_number_divide_by_conjugate(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor_to_conjugate);
extern inline int bgc_fp64_dual_number_divide_by_conjugate(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor_to_conjugate);
extern inline void bgc_fp32_dual_number_get_mean2(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_get_mean3(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const BGC_FP32_DualNumber* third);
extern inline void bgc_fp64_dual_number_get_mean3(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const BGC_FP64_DualNumber* third);
extern inline void bgc_fp32_dual_number_interpolate(BGC_FP32_DualNumber* interpolation, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const float phase);
extern inline void bgc_fp64_dual_number_interpolate(BGC_FP64_DualNumber* interpolation, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const double phase);

178
basic-geometry/dual-scalar.h → basic-geometry/dual-number.h
View file

Internal server error - Personal Git Server: Beyond coding. We Forge.

500

Internal server error

Forgejo version: 11.0.1+gitea-1.22.0

 @ -8,13 +8,13 @@
// =================== Reset ==================== //
inline void bgc_fp32_dual_scalar_reset(BGC_FP32_DualScalar* number)
inline void bgc_fp32_dual_number_reset(BGC_FP32_DualNumber* number)
{
number->real_part = 0.0f;
number->dual_part = 0.0f;
}
inline void bgc_fp64_dual_scalar_reset(BGC_FP64_DualScalar* number)
inline void bgc_fp64_dual_number_reset(BGC_FP64_DualNumber* number)
{
number->real_part = 0.0;
number->dual_part = 0.0;
@ -22,13 +22,13 @@ inline void bgc_fp64_dual_scalar_reset(BGC_FP64_DualScalar* number)
// ==================== Make ==================== //
inline void bgc_fp32_dual_scalar_make(BGC_FP32_DualScalar* number, const float real_part, const float dual_part)
inline void bgc_fp32_dual_number_make(BGC_FP32_DualNumber* number, const float real_part, const float dual_part)
{
number->real_part = real_part;
number->dual_part = dual_part;
}
inline void bgc_fp64_dual_scalar_make(BGC_FP64_DualScalar* number, const double real_part, const double dual_part)
inline void bgc_fp64_dual_number_make(BGC_FP64_DualNumber* number, const double real_part, const double dual_part)
{
number->real_part = real_part;
number->dual_part = dual_part;
@ -36,13 +36,13 @@ inline void bgc_fp64_dual_scalar_make(BGC_FP64_DualScalar* number, const double
// ==================== Copy ==================== //
inline void bgc_fp32_dual_scalar_copy(BGC_FP32_DualScalar* destination, const BGC_FP32_DualScalar* source)
inline void bgc_fp32_dual_number_copy(BGC_FP32_DualNumber* destination, const BGC_FP32_DualNumber* source)
{
destination->real_part = source->real_part;
destination->dual_part = source->dual_part;
}
inline void bgc_fp64_dual_scalar_copy(BGC_FP64_DualScalar* destination, const BGC_FP64_DualScalar* source)
inline void bgc_fp64_dual_number_copy(BGC_FP64_DualNumber* destination, const BGC_FP64_DualNumber* source)
{
destination->real_part = source->real_part;
destination->dual_part = source->dual_part;
@ -50,27 +50,39 @@ inline void bgc_fp64_dual_scalar_copy(BGC_FP64_DualScalar* destination, const BG
// ==================== Swap ==================== //
inline void bgc_fp32_dual_scalar_swap(BGC_FP32_DualScalar* first, BGC_FP32_DualScalar* second)
inline void bgc_fp32_dual_number_swap(BGC_FP32_DualNumber* first, BGC_FP32_DualNumber* second)
{
first->real_part = second->real_part;
first->dual_part = second->dual_part;
}
inline void bgc_fp64_dual_scalar_swap(BGC_FP64_DualScalar* first, BGC_FP64_DualScalar* second)
inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualNumber* second)
{
first->real_part = second->real_part;
first->dual_part = second->dual_part;
}
// ================== Modulus =================== //
inline double bgc_fp32_dual_number_get_modulus(const BGC_FP32_DualNumber* number)
{
return fabsf(number->real_part);
}
inline double bgc_fp64_dual_number_get_modulus(const BGC_FP64_DualNumber* number)
{
return fabs(number->real_part);
}
// ================== Convert =================== //
inline void bgc_fp64_dual_scalar_convert_to_fp32(BGC_FP32_DualScalar* first, BGC_FP64_DualScalar* second)
inline void bgc_fp64_dual_number_convert_to_fp32(BGC_FP32_DualNumber* first, BGC_FP64_DualNumber* second)
{
first->real_part = (float) second->real_part;
first->dual_part = (float) second->dual_part;
}
inline void bgc_fp32_dual_scalar_convert_to_fp64(BGC_FP64_DualScalar* first, BGC_FP32_DualScalar* second)
inline void bgc_fp32_dual_number_convert_to_fp64(BGC_FP64_DualNumber* first, BGC_FP32_DualNumber* second)
{
first->real_part = second->real_part;
first->dual_part = second->dual_part;
@ -78,13 +90,13 @@ inline void bgc_fp32_dual_scalar_convert_to_fp64(BGC_FP64_DualScalar* first, BGC
// =================== Revert =================== //
inline void bgc_fp32_dual_scalar_revert(BGC_FP32_DualScalar* number)
inline void bgc_fp32_dual_number_revert(BGC_FP32_DualNumber* number)
{
number->real_part = -number->real_part;
number->dual_part = -number->dual_part;
}
inline void bgc_fp64_dual_scalar_revert(BGC_FP64_DualScalar* number)
inline void bgc_fp64_dual_number_revert(BGC_FP64_DualNumber* number)
{
number->real_part = -number->real_part;
number->dual_part = -number->dual_part;
@ -92,39 +104,103 @@ inline void bgc_fp64_dual_scalar_revert(BGC_FP64_DualScalar* number)
// ================ Get Reverse ================= //
inline void bgc_fp32_number_get_reverse(BGC_FP32_DualScalar* reverse, const BGC_FP32_DualScalar* number)
inline void bgc_fp32_dual_number_get_reverse(BGC_FP32_DualNumber* reverse, const BGC_FP32_DualNumber* number)
{
reverse->real_part = -number->real_part;
reverse->dual_part = -number->dual_part;
}
inline void bgc_fp64_number_get_reverse(BGC_FP64_DualScalar* reverse, const BGC_FP64_DualScalar* number)
inline void bgc_fp64_dual_number_get_reverse(BGC_FP64_DualNumber* reverse, const BGC_FP64_DualNumber* number)
{
reverse->real_part = -number->real_part;
reverse->dual_part = -number->dual_part;
}
// =================== Invert =================== //
inline int bgc_fp32_dual_number_invert(BGC_FP32_DualNumber* number)
{
if (bgc_fp32_is_zero(number->real_part) || isnan(number->real_part)) {
return BGC_FAILURE;
}
const float multiplicator = 1.0f / (number->real_part * number->real_part);
number->real_part = number->real_part * multiplicator;
number->dual_part = -number->dual_part * multiplicator;
return BGC_SUCCESS;
}
inline int bgc_fp64_dual_number_invert(BGC_FP64_DualNumber* number)
{
if (bgc_fp64_is_zero(number->real_part) || isnan(number->real_part)) {
return BGC_FAILURE;
}
const double multiplicator = 1.0 / (number->real_part * number->real_part);
number->real_part = number->real_part * multiplicator;
number->dual_part = -number->dual_part * multiplicator;
return BGC_SUCCESS;
}
// ================ Get Inverse ================= //
inline int bgc_fp32_dual_number_get_inverse(BGC_FP32_DualNumber* inverse, const BGC_FP32_DualNumber* number)
{
if (bgc_fp32_is_zero(number->real_part) || isnan(number->real_part)) {
inverse->real_part = 0.0f;
inverse->dual_part = 0.0f;
return BGC_FAILURE;
}
const float multiplicator = 1.0f / (number->real_part * number->real_part);
inverse->real_part = number->real_part * multiplicator;
inverse->dual_part = -number->dual_part * multiplicator;
return BGC_SUCCESS;
}
inline int bgc_fp64_dual_number_get_inverse(BGC_FP64_DualNumber* inverse, const BGC_FP64_DualNumber* number)
{
if (bgc_fp64_is_zero(number->real_part) || isnan(number->real_part)) {
inverse->real_part = 0.0;
inverse->dual_part = 0.0;
return BGC_FAILURE;
}
const double multiplicator = 1.0 / (number->real_part * number->real_part);
inverse->real_part = number->real_part * multiplicator;
inverse->dual_part = -number->dual_part * multiplicator;
return BGC_SUCCESS;
}
// ================= Conjugate ================== //
inline void bgc_fp32_dual_scalar_conjugate(BGC_FP32_DualScalar* number)
inline void bgc_fp32_dual_number_conjugate(BGC_FP32_DualNumber* number)
{
number->dual_part = -number->dual_part;
}
inline void bgc_fp64_dual_scalar_conjugate(BGC_FP64_DualScalar* number)
inline void bgc_fp64_dual_number_conjugate(BGC_FP64_DualNumber* number)
{
number->dual_part = -number->dual_part;
}
// =============== Get Conjugate ================ //
inline void bgc_fp32_dual_scalar_get_conjugate(BGC_FP32_DualScalar* conjugate, const BGC_FP32_DualScalar* number)
inline void bgc_fp32_dual_number_get_conjugate(BGC_FP32_DualNumber* conjugate, const BGC_FP32_DualNumber* number)
{
conjugate->real_part = number->real_part;
conjugate->dual_part = -number->dual_part;
}
inline void bgc_fp64_dual_scalar_get_conjugate(BGC_FP64_DualScalar* conjugate, const BGC_FP64_DualScalar* number)
inline void bgc_fp64_dual_number_get_conjugate(BGC_FP64_DualNumber* conjugate, const BGC_FP64_DualNumber* number)
{
conjugate->real_part = number->real_part;
conjugate->dual_part = -number->dual_part;
@ -132,13 +208,13 @@ inline void bgc_fp64_dual_scalar_get_conjugate(BGC_FP64_DualScalar* conjugate, c
// ==================== Add ===================== //
inline void bgc_fp32_dual_scalar_add(BGC_FP32_DualScalar* sum, const BGC_FP32_DualScalar* first, const BGC_FP32_DualScalar* second)
inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second)
{
sum->real_part = first->real_part + second->real_part;
sum->dual_part = first->dual_part + second->dual_part;
}
inline void bgc_fp64_dual_scalar_add(BGC_FP64_DualScalar* sum, const BGC_FP64_DualScalar* first, const BGC_FP64_DualScalar* second)
inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second)
{
sum->real_part = first->real_part + second->real_part;
sum->dual_part = first->dual_part + second->dual_part;
@ -146,13 +222,13 @@ inline void bgc_fp64_dual_scalar_add(BGC_FP64_DualScalar* sum, const BGC_FP64_Du
// ================= Add Scaled ================= //
inline void bgc_fp32_dual_scalar_add_scaled(BGC_FP32_DualScalar* sum, const BGC_FP32_DualScalar* base_number, const BGC_FP32_DualScalar* scalable_number, const float scale)
inline void bgc_fp32_dual_number_add_scaled(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale)
{
sum->real_part = base_number->real_part + scalable_number->real_part * scale;
sum->dual_part = base_number->dual_part + scalable_number->dual_part * scale;
}
inline void bgc_fp64_dual_scalar_add_scaled(BGC_FP64_DualScalar* sum, const BGC_FP64_DualScalar* base_number, const BGC_FP64_DualScalar* scalable_number, const double scale)
inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale)
{
sum->real_part = base_number->real_part + scalable_number->real_part * scale;
sum->dual_part = base_number->dual_part + scalable_number->dual_part * scale;
@ -160,33 +236,47 @@ inline void bgc_fp64_dual_scalar_add_scaled(BGC_FP64_DualScalar* sum, const BGC_
// ================== Subtract ================== //
inline void bgc_fp32_dual_scalar_subtract(BGC_FP32_DualScalar* difference, const BGC_FP32_DualScalar* minuend, const BGC_FP32_DualScalar* subtrahend)
inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend)
{
difference->real_part = minuend->real_part - subtrahend->real_part;
difference->dual_part = minuend->dual_part - subtrahend->dual_part;
}
inline void bgc_fp64_dual_scalar_subtract(BGC_FP64_DualScalar* difference, const BGC_FP64_DualScalar* minuend, const BGC_FP64_DualScalar* subtrahend)
inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend)
{
difference->real_part = minuend->real_part - subtrahend->real_part;
difference->dual_part = minuend->dual_part - subtrahend->dual_part;
}
// ============== Subtract Scaled =============== //
inline void bgc_fp32_dual_number_subtract_scaled(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale)
{
difference->real_part = base_number->real_part - scalable_number->real_part * scale;
difference->dual_part = base_number->dual_part - scalable_number->dual_part * scale;
}
inline void bgc_fp64_dual_number_subtract_scaled(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale)
{
difference->real_part = base_number->real_part - scalable_number->real_part * scale;
difference->dual_part = base_number->dual_part - scalable_number->dual_part * scale;
}
// ================== Multiply ================== //
inline void bgc_fp32_dual_scalar_multiply_by_real(BGC_FP32_DualScalar* product, const BGC_FP32_DualScalar* multiplicand, const float multiplier)
inline void bgc_fp32_dual_number_multiply_by_real(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier)
{
product->real_part = multiplicand->real_part * multiplier;
product->dual_part = multiplicand->dual_part * multiplier;
}
inline void bgc_fp64_dual_scalar_multiply_by_real(BGC_FP64_DualScalar* product, const BGC_FP64_DualScalar* multiplicand, const double multiplier)
inline void bgc_fp64_dual_number_multiply_by_real(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier)
{
product->real_part = multiplicand->real_part * multiplier;
product->dual_part = multiplicand->dual_part * multiplier;
}
inline void bgc_fp32_dual_scalar_multiply_by_dual(BGC_FP32_DualScalar* product, const BGC_FP32_DualScalar* multiplicand, const BGC_FP32_DualScalar* multiplier)
inline void bgc_fp32_dual_number_multiply_by_dual(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier)
{
const float real_part = multiplicand->real_part * multiplier->real_part;
const float dual_part = multiplicand->dual_part * multiplier->real_part + multiplicand->real_part * multiplier->dual_part;
@ -195,7 +285,7 @@ inline void bgc_fp32_dual_scalar_multiply_by_dual(BGC_FP32_DualScalar* product,
product->dual_part = dual_part;
}
inline void bgc_fp64_dual_scalar_multiply_by_dual(BGC_FP64_DualScalar* product, const BGC_FP64_DualScalar* multiplicand, const BGC_FP64_DualScalar* multiplier)
inline void bgc_fp64_dual_number_multiply_by_dual(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier)
{
const double real_part = multiplicand->real_part * multiplier->real_part;
const double dual_part = multiplicand->dual_part * multiplier->real_part + multiplicand->real_part * multiplier->dual_part;
@ -204,7 +294,7 @@ inline void bgc_fp64_dual_scalar_multiply_by_dual(BGC_FP64_DualScalar* product,
product->dual_part = dual_part;
}
inline void bgc_fp32_dual_scalar_multiply_by_conjugate(BGC_FP32_DualScalar* product, const BGC_FP32_DualScalar* multiplicand, const BGC_FP32_DualScalar* multiplier_to_conjugate)
inline void bgc_fp32_dual_number_multiply_by_conjugate(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier_to_conjugate)
{
const float real_part = multiplicand->real_part * multiplier_to_conjugate->real_part;
const float dual_part = multiplicand->dual_part * multiplier_to_conjugate->real_part - multiplicand->real_part * multiplier_to_conjugate->dual_part;
@ -213,7 +303,7 @@ inline void bgc_fp32_dual_scalar_multiply_by_conjugate(BGC_FP32_DualScalar* prod
product->dual_part = dual_part;
}
inline void bgc_fp64_dual_scalar_multiply_by_conjugate(BGC_FP64_DualScalar* product, const BGC_FP64_DualScalar* multiplicand, const BGC_FP64_DualScalar* multiplier_to_conjugate)
inline void bgc_fp64_dual_number_multiply_by_conjugate(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier_to_conjugate)
{
const double real_part = multiplicand->real_part * multiplier_to_conjugate->real_part;
const double dual_part = multiplicand->dual_part * multiplier_to_conjugate->real_part - multiplicand->real_part * multiplier_to_conjugate->dual_part;
@ -223,27 +313,27 @@ inline void bgc_fp64_dual_scalar_multiply_by_conjugate(BGC_FP64_DualScalar* prod
}
// =================== Divide =================== //
inline int bgc_fp32_dual_scalar_divide_by_real(BGC_FP32_DualScalar* quotient, const BGC_FP32_DualScalar* dividend, const float divisor)
inline int bgc_fp32_dual_number_divide_by_real(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor)
{
if (bgc_fp32_is_zero(divisor) || isnan(divisor)) {
return BGC_FAILURE;
}
bgc_fp32_dual_scalar_multiply_by_real(quotient, dividend, 1.0f / divisor);
bgc_fp32_dual_number_multiply_by_real(quotient, dividend, 1.0f / divisor);
return BGC_SUCCESS;
}
inline int bgc_fp64_dual_scalar_divide_by_real(BGC_FP64_DualScalar* quotient, const BGC_FP64_DualScalar* dividend, const double divisor)
inline int bgc_fp64_dual_number_divide_by_real(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor)
{
if (bgc_fp64_is_zero(divisor) || isnan(divisor)) {
return BGC_FAILURE;
}
bgc_fp64_dual_scalar_multiply_by_real(quotient, dividend, 1.0 / divisor);
bgc_fp64_dual_number_multiply_by_real(quotient, dividend, 1.0 / divisor);
return BGC_SUCCESS;
}
inline int bgc_fp32_dual_scalar_divide_by_dual(BGC_FP32_DualScalar* quotient, const BGC_FP32_DualScalar* dividend, const BGC_FP32_DualScalar* divisor)
inline int bgc_fp32_dual_number_divide_by_dual(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor)
{
if (bgc_fp32_is_zero(divisor->real_part)) {
return BGC_FAILURE;
@ -260,7 +350,7 @@ inline int bgc_fp32_dual_scalar_divide_by_dual(BGC_FP32_DualScalar* quotient, co
return BGC_SUCCESS;
}
inline int bgc_fp64_dual_scalar_divide_by_dual(BGC_FP64_DualScalar* quotient, const BGC_FP64_DualScalar* dividend, const BGC_FP64_DualScalar* divisor)
inline int bgc_fp64_dual_number_divide_by_dual(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor)
{
if (bgc_fp64_is_zero(divisor->real_part)) {
return BGC_FAILURE;
@ -277,7 +367,7 @@ inline int bgc_fp64_dual_scalar_divide_by_dual(BGC_FP64_DualScalar* quotient, co
return BGC_SUCCESS;
}
inline int bgc_fp32_dual_scalar_divide_by_conjugate(BGC_FP32_DualScalar* quotient, const BGC_FP32_DualScalar* dividend, const BGC_FP32_DualScalar* divisor_to_conjugate)
inline int bgc_fp32_dual_number_divide_by_conjugate(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor_to_conjugate)
{
if (bgc_fp32_is_zero(divisor_to_conjugate->real_part)) {
return BGC_FAILURE;
@ -294,7 +384,7 @@ inline int bgc_fp32_dual_scalar_divide_by_conjugate(BGC_FP32_DualScalar* quotien
return BGC_SUCCESS;
}
inline int bgc_fp64_dual_scalar_divide_by_conjugate(BGC_FP64_DualScalar* quotient, const BGC_FP64_DualScalar* dividend, const BGC_FP64_DualScalar* divisor_to_conjugate)
inline int bgc_fp64_dual_number_divide_by_conjugate(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor_to_conjugate)
{
if (bgc_fp64_is_zero(divisor_to_conjugate->real_part)) {
return BGC_FAILURE;
@ -313,13 +403,13 @@ inline int bgc_fp64_dual_scalar_divide_by_conjugate(BGC_FP64_DualScalar* quotien
// ================ Mean of Two ================= //