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

Развитие дуальный чисел, векторов и кватернионов, а также гомогенных векторов и матриц

Browse source
This commit is contained in:
Andrey Pokidov 2026-02-03 19:56:56 +07:00
parent 3f96b661a9
commit b87518cd3f
21 changed files with 1787 additions and 1511 deletions
Download patch file Download diff file Expand all files Collapse all files

98
basic-geometry/dual-number.h
View file

@ -1,6 +1,8 @@
#ifndef _BGC_DUAL_NUMBER_H_
#define _BGC_DUAL_NUMBER_H_
#include "utilities.h"
// =================== Types ==================== //
typedef struct {
@ -67,4 +69,100 @@ inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualN
first->dual = second->dual;
}
// ==================== Add ===================== //
inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second)
{
sum->real = first->real + second->real;
sum->dual = first->dual + second->dual;
}
inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second)
{
sum->real = first->real + second->real;
sum->dual = first->dual + second->dual;
}
// ================= Add Scaled ================= //
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 = base_number->real + scalable_number->real * scale;
sum->dual = base_number->dual + scalable_number->dual * 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 = base_number->real + scalable_number->real * scale;
sum->dual = base_number->dual + scalable_number->dual * scale;
}
// ================== Subtract ================== //
inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend)
{
difference->real = minuend->real - subtrahend->real;
difference->dual = minuend->dual - subtrahend->dual;
}
inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend)
{
difference->real = minuend->real - subtrahend->real;
difference->dual = minuend->dual - subtrahend->dual;
}
// ================== Multiply ================== //
inline void bgc_fp32_dual_number_multiply(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier)
{
product->real = multiplicand->real * multiplier;
product->dual = multiplicand->dual * multiplier;
}
inline void bgc_fp64_dual_number_multiply(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier)
{
product->real = multiplicand->real * multiplier;
product->dual = multiplicand->dual * multiplier;
}
// =================== Divide =================== //
inline void bgc_fp32_dual_number_divide(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor)
{
bgc_fp32_dual_number_multiply(quotient, dividend, 1.0f / divisor);
}
inline void bgc_fp64_dual_number_divide(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor)
{
bgc_fp64_dual_number_multiply(quotient, dividend, 1.0 / divisor);
}
// ================ Mean of Two ================= //
inline void bgc_fp32_dual_number_get_mean2(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second)
{
mean->real = (first->real + second->real) * 0.5f;
mean->dual = (first->dual + second->dual) * 0.5f;
}
inline void bgc_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second)
{
mean->real = (first->real + second->real) * 0.5;
mean->dual = (first->dual + second->dual) * 0.5;
}
// =============== Mean of Three ================ //
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)
{
mean->real = (first->real + second->real + third->real) * BGC_FP32_ONE_THIRD;
mean->dual = (first->dual + second->dual + third->dual) * BGC_FP32_ONE_THIRD;
}
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)
{
mean->real = (first->real + second->real + third->real) * BGC_FP64_ONE_THIRD;
mean->dual = (first->dual + second->dual + third->dual) * BGC_FP64_ONE_THIRD;
}
#endif