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Фобавлены функции умножения и деления дуальных чисел

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Andrey Pokidov 2026-02-09 19:20:38 +07:00
parent 4509b26e73
commit a4b9f8b2b9
2 changed files with 44 additions and 10 deletions
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14
basic-geometry/dual-number.c
View file

@ -21,11 +21,17 @@ extern inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, con
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_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_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_multiply(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier); extern inline void bgc_fp32_dual_number_multiply_by_real_number(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier);
extern inline void bgc_fp64_dual_number_multiply(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier); extern inline void bgc_fp64_dual_number_multiply_by_real_number(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier);
extern inline void bgc_fp32_dual_number_divide(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor); extern inline void bgc_fp32_dual_number_multiply_by_dual_number(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_divide(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor); extern inline void bgc_fp64_dual_number_multiply_by_dual_number(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_divide_by_real_number(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor);
extern inline void bgc_fp64_dual_number_divide_by_real_number(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor);
extern inline void bgc_fp32_dual_number_divide_by_dual_number(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor);
extern inline void bgc_fp64_dual_number_divide_by_dual_number(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor);
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_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_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);

40
basic-geometry/dual-number.h
View file

@ -113,28 +113,56 @@ inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const
// ================== Multiply ================== // // ================== Multiply ================== //
inline void bgc_fp32_dual_number_multiply(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier) inline void bgc_fp32_dual_number_multiply_by_real_number(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier)
{ {
product->real = multiplicand->real * multiplier; product->real = multiplicand->real * multiplier;
product->dual = multiplicand->dual * 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) inline void bgc_fp64_dual_number_multiply_by_real_number(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier)
{ {
product->real = multiplicand->real * multiplier; product->real = multiplicand->real * multiplier;
product->dual = multiplicand->dual * multiplier; product->dual = multiplicand->dual * multiplier;
} }
inline void bgc_fp32_dual_number_multiply_by_dual_number(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second)
{
product->real = first->real * second->real;
product->dual = first->dual * second->real + first->real * second->dual;
}
inline void bgc_fp64_dual_number_multiply_by_dual_number(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second)
{
product->real = first->real * second->real;
product->dual = first->dual * second->real + first->real * second->dual;
}
// =================== Divide =================== // // =================== Divide =================== //
inline void bgc_fp32_dual_number_divide(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor) inline void bgc_fp32_dual_number_divide_by_real_number(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor)
{ {
bgc_fp32_dual_number_multiply(quotient, dividend, 1.0f / divisor); bgc_fp32_dual_number_multiply_by_real_number(quotient, dividend, 1.0f / divisor);
} }
inline void bgc_fp64_dual_number_divide(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor) inline void bgc_fp64_dual_number_divide_by_real_number(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor)
{ {
bgc_fp64_dual_number_multiply(quotient, dividend, 1.0 / divisor); bgc_fp64_dual_number_multiply_by_real_number(quotient, dividend, 1.0 / divisor);
}
inline void bgc_fp32_dual_number_divide_by_dual_number(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor)
{
const float mutliplier_real = 1 / divisor->real;
quotient->real = dividend->real * mutliplier_real;
quotient->dual = dividend->dual * mutliplier_real - dividend->real * divisor->dual / (divisor->real * divisor->real);
}
inline void bgc_fp64_dual_number_divide_by_dual_number(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor)
{
const double mutliplier_real = 1 / divisor->real;
quotient->real = dividend->real * mutliplier_real;
quotient->dual = dividend->dual * mutliplier_real - dividend->real * divisor->dual / (divisor->real * divisor->real);
} }
// ================ Mean of Two ================= // // ================ Mean of Two ================= //