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This commit is contained in:
Andrey Pokidov 2025-11-26 22:43:29 +07:00
parent 0dcd9c0d4d
commit 89dfd7644b
32 changed files with 1730 additions and 1719 deletions
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1
basic-geometry/basic-geometry.vcxproj
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@ -30,6 +30,7 @@
<ClInclude Include="matrixes.h" />
<ClInclude Include="quaternion.h" />
<ClInclude Include="rotation3.h" />
<ClInclude Include="types.h" />
<ClInclude Include="utilities.h" />
<ClInclude Include="slerp.h" />
<ClInclude Include="versor.h" />

3
basic-geometry/basic-geometry.vcxproj.filters
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@ -69,6 +69,9 @@
<ClInclude Include="slerp.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="types.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
</ItemGroup>
<ItemGroup>
<ClCompile Include="angle.c">

53
basic-geometry/complex.c
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@ -27,23 +27,35 @@ extern inline void bgc_complex_swap_fp64(BgcComplexFP64* number1, BgcComplexFP64
extern inline void bgc_complex_convert_fp64_to_fp32(const BgcComplexFP64* source, BgcComplexFP32* destination);
extern inline void bgc_complex_convert_fp32_to_fp64(const BgcComplexFP32* source, BgcComplexFP64* destination);
extern inline void bgc_complex_reverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* reverse);
extern inline void bgc_complex_reverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* reverse);
extern inline void bgc_complex_make_opposite_fp32(BgcComplexFP32* number);
extern inline void bgc_complex_make_opposite_fp64(BgcComplexFP64* number);
extern inline int bgc_complex_normalize_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized);
extern inline int bgc_complex_normalize_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized);
extern inline void bgc_complex_get_opposite_fp32(const BgcComplexFP32* number, BgcComplexFP32* opposite);
extern inline void bgc_complex_get_opposite_fp64(const BgcComplexFP64* number, BgcComplexFP64* opposite);
extern inline void bgc_complex_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate);
extern inline void bgc_complex_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate);
extern inline int bgc_complex_normalize_fp32(BgcComplexFP32* number);
extern inline int bgc_complex_normalize_fp64(BgcComplexFP64* number);
extern inline int bgc_complex_invert_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverted);
extern inline int bgc_complex_invert_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverted);
extern inline int bgc_complex_get_normalized_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized);
extern inline int bgc_complex_get_normalized_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized);
extern inline void bgc_complex_get_product_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* result);
extern inline void bgc_complex_get_product_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* result);
extern inline void bgc_complex_conjugate_fp32(BgcComplexFP32* number);
extern inline void bgc_complex_conjugate_fp64(BgcComplexFP64* number);
extern inline int bgc_complex_get_ratio_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient);
extern inline int bgc_complex_get_ratio_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient);
extern inline void bgc_complex_get_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate);
extern inline void bgc_complex_get_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate);
extern inline int bgc_complex_invert_fp32(BgcComplexFP32* number);
extern inline int bgc_complex_invert_fp64(BgcComplexFP64* number);
extern inline int bgc_complex_get_inverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverse);
extern inline int bgc_complex_get_inverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverse);
extern inline void bgc_complex_multiply_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* result);
extern inline void bgc_complex_multiply_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* result);
extern inline int bgc_complex_devide_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient);
extern inline int bgc_complex_devide_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient);
extern inline void bgc_complex_add_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* sum);
extern inline void bgc_complex_add_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* sum);
@ -54,13 +66,10 @@ extern inline void bgc_complex_add_scaled_fp64(const BgcComplexFP64* basic_numbe
extern inline void bgc_complex_subtract_fp32(const BgcComplexFP32* minuend, const BgcComplexFP32* subtrahend, BgcComplexFP32* difference);
extern inline void bgc_complex_subtract_fp64(const BgcComplexFP64* minuend, const BgcComplexFP64* subtrahend, BgcComplexFP64* difference);
extern inline void bgc_complex_subtract_scaled_fp32(const BgcComplexFP32* basic_number, const BgcComplexFP32* scalable_number, const float scale, BgcComplexFP32* difference);
extern inline void bgc_complex_subtract_scaled_fp64(const BgcComplexFP64* basic_number, const BgcComplexFP64* scalable_number, const double scale, BgcComplexFP64* difference);
extern inline void bgc_complex_multiply_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product);
extern inline void bgc_complex_multiply_by_number_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product);
extern inline void bgc_complex_multiply_fp64(const BgcComplexFP64* multiplicand, const double multiplier, BgcComplexFP64* product);
extern inline void bgc_complex_divide_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient);
extern inline void bgc_complex_divide_by_number_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient);
extern inline void bgc_complex_divide_fp64(const BgcComplexFP64* dividend, const double divisor, BgcComplexFP64* quotient);
extern inline void bgc_complex_get_mean_of_two_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* mean);
@ -69,14 +78,8 @@ extern inline void bgc_complex_get_mean_of_two_fp64(const BgcComplexFP64* number
extern inline void bgc_complex_get_mean_of_three_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const BgcComplexFP32* number3, BgcComplexFP32* mean);
extern inline void bgc_complex_get_mean_of_three_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const BgcComplexFP64* number3, BgcComplexFP64* mean);
extern inline void bgc_complex_interpolate_linearly_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation);
extern inline void bgc_complex_interpolate_linearly_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation);
extern inline void bgc_complex_minimize_fp32(const BgcComplexFP32* number, BgcComplexFP32* minimal);
extern inline void bgc_complex_minimize_fp64(const BgcComplexFP64* number, BgcComplexFP64* minimal);
extern inline void bgc_complex_maximize_fp32(const BgcComplexFP32* number, BgcComplexFP32* maximal);
extern inline void bgc_complex_maximize_fp64(const BgcComplexFP64* number, BgcComplexFP64* maximal);
extern inline void bgc_complex_interpolate_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation);
extern inline void bgc_complex_interpolate_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation);
extern inline int bgc_complex_are_close_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2);
extern inline int bgc_complex_are_close_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2);

298
basic-geometry/complex.h
View file

@ -142,23 +142,75 @@ inline void bgc_complex_convert_fp32_to_fp64(const BgcComplexFP32* source, BgcCo
destination->imaginary = source->imaginary;
}
// ================== Reverse =================== //
// ================== Negative ================== //
inline void bgc_complex_reverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* reverse)
inline void bgc_complex_make_opposite_fp32(BgcComplexFP32* number)
{
reverse->real = -number->real;
reverse->imaginary = -number->imaginary;
number->real = -number->real;
number->imaginary = -number->imaginary;
}
inline void bgc_complex_reverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* reverse)
inline void bgc_complex_make_opposite_fp64(BgcComplexFP64* number)
{
reverse->real = -number->real;
reverse->imaginary = -number->imaginary;
number->real = -number->real;
number->imaginary = -number->imaginary;
}
inline void bgc_complex_get_opposite_fp32(const BgcComplexFP32* number, BgcComplexFP32* opposite)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
}
inline void bgc_complex_get_opposite_fp64(const BgcComplexFP64* number, BgcComplexFP64* opposite)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
}
// ================= Normalize ================== //
inline int bgc_complex_normalize_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized)
inline int bgc_complex_normalize_fp32(BgcComplexFP32* number)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
if (bgc_is_sqare_unit_fp32(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
return 0;
}
const float multiplicand = sqrtf(1.0f / square_modulus);
number->real *= multiplicand;
number->imaginary *= multiplicand;
return 1;
}
inline int bgc_complex_normalize_fp64(BgcComplexFP64* number)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
if (bgc_is_sqare_unit_fp64(square_modulus)) {
return 1;
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
return 0;
}
const double multiplicand = sqrt(1.0 / square_modulus);
number->real *= multiplicand;
number->imaginary *= multiplicand;
return 1;
}
inline int bgc_complex_get_normalized_fp32(const BgcComplexFP32* number, BgcComplexFP32* normalized)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
@ -169,6 +221,8 @@ inline int bgc_complex_normalize_fp32(const BgcComplexFP32* number, BgcComplexFP
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
normalized->real = 0.0f;
normalized->imaginary = 0.0f;
return 0;
}
@ -180,7 +234,7 @@ inline int bgc_complex_normalize_fp32(const BgcComplexFP32* number, BgcComplexFP
return 1;
}
inline int bgc_complex_normalize_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized)
inline int bgc_complex_get_normalized_fp64(const BgcComplexFP64* number, BgcComplexFP64* normalized)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
@ -191,6 +245,8 @@ inline int bgc_complex_normalize_fp64(const BgcComplexFP64* number, BgcComplexFP
}
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
normalized->real = 0.0;
normalized->imaginary = 0.0;
return 0;
}
@ -204,13 +260,23 @@ inline int bgc_complex_normalize_fp64(const BgcComplexFP64* number, BgcComplexFP
// ================= Conjugate ================== //
inline void bgc_complex_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate)
inline void bgc_complex_conjugate_fp32(BgcComplexFP32* number)
{
number->imaginary = -number->imaginary;
}
inline void bgc_complex_conjugate_fp64(BgcComplexFP64* number)
{
number->imaginary = -number->imaginary;
}
inline void bgc_complex_get_conjugate_fp32(const BgcComplexFP32* number, BgcComplexFP32* conjugate)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
}
inline void bgc_complex_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate)
inline void bgc_complex_get_conjugate_fp64(const BgcComplexFP64* number, BgcComplexFP64* conjugate)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
@ -218,7 +284,7 @@ inline void bgc_complex_conjugate_fp64(const BgcComplexFP64* number, BgcComplexF
// =================== Invert =================== //
inline int bgc_complex_invert_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverted)
inline int bgc_complex_get_inverse_fp32(const BgcComplexFP32* number, BgcComplexFP32* inverse)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(number);
@ -228,13 +294,13 @@ inline int bgc_complex_invert_fp32(const BgcComplexFP32* number, BgcComplexFP32*
const float multiplicand = 1.0f / square_modulus;
inverted->real = number->real * multiplicand;
inverted->imaginary = -number->imaginary * multiplicand;
inverse->real = number->real * multiplicand;
inverse->imaginary = -number->imaginary * multiplicand;
return 1;
}
inline int bgc_complex_invert_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverted)
inline int bgc_complex_get_inverse_fp64(const BgcComplexFP64* number, BgcComplexFP64* inverse)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(number);
@ -244,70 +310,20 @@ inline int bgc_complex_invert_fp64(const BgcComplexFP64* number, BgcComplexFP64*
const double multiplicand = 1.0 / square_modulus;
inverted->real = number->real * multiplicand;
inverted->imaginary = -number->imaginary * multiplicand;
inverse->real = number->real * multiplicand;
inverse->imaginary = -number->imaginary * multiplicand;
return 1;
}
// ================ Get Product ================= //
inline void bgc_complex_get_product_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* result)
inline int bgc_complex_invert_fp32(BgcComplexFP32* number)
{
const float real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const float imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
result->real = real;
result->imaginary = imaginary;
return bgc_complex_get_inverse_fp32(number, number);
}
inline void bgc_complex_get_product_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* result)
inline int bgc_complex_invert_fp64(BgcComplexFP64* number)
{
const double real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const double imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
result->real = real;
result->imaginary = imaginary;
}
// ================= Get Ratio ================== //
inline int bgc_complex_get_ratio_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient)
{
const float square_modulus = bgc_complex_get_square_modulus_fp32(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
return 0;
}
const float real = divident->real * divisor->real + divident->imaginary * divisor->imaginary;
const float imaginary = divident->imaginary * divisor->real - divident->real * divisor->imaginary;
const float multiplier = 1.0f / square_modulus;
quotient->real = real * multiplier;
quotient->imaginary = imaginary * multiplier;
return 1;
}
inline int bgc_complex_get_ratio_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient)
{
const double square_modulus = bgc_complex_get_square_modulus_fp64(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
return 0;
}
const double real = divident->real * divisor->real + divident->imaginary * divisor->imaginary;
const double imaginary = divident->imaginary * divisor->real - divident->real * divisor->imaginary;
const double multiplier = 1.0 / square_modulus;
quotient->real = real * multiplier;
quotient->imaginary = imaginary * multiplier;
return 1;
return bgc_complex_get_inverse_fp64(number, number);
}
// =============== Get Exponation =============== //
@ -358,29 +374,35 @@ inline void bgc_complex_subtract_fp64(const BgcComplexFP64* minuend, const BgcCo
difference->imaginary = minuend->imaginary - subtrahend->imaginary;
}
// ============== Subtract scaled =============== //
inline void bgc_complex_subtract_scaled_fp32(const BgcComplexFP32* basic_number, const BgcComplexFP32* scalable_number, const float scale, BgcComplexFP32* difference)
{
difference->real = basic_number->real - scalable_number->real * scale;
difference->imaginary = basic_number->imaginary - scalable_number->imaginary * scale;
}
inline void bgc_complex_subtract_scaled_fp64(const BgcComplexFP64* basic_number, const BgcComplexFP64* scalable_number, const double scale, BgcComplexFP64* difference)
{
difference->real = basic_number->real - scalable_number->real * scale;
difference->imaginary = basic_number->imaginary - scalable_number->imaginary * scale;
}
// ================== Multiply ================== //
inline void bgc_complex_multiply_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product)
inline void bgc_complex_multiply_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, BgcComplexFP32* product)
{
const float real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const float imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
product->real = real;
product->imaginary = imaginary;
}
inline void bgc_complex_multiply_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, BgcComplexFP64* product)
{
const double real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const double imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
product->real = real;
product->imaginary = imaginary;
}
// ============= Multiply By Number ============= //
inline void bgc_complex_multiply_by_number_fp32(const BgcComplexFP32* multiplicand, const float multiplier, BgcComplexFP32* product)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
}
inline void bgc_complex_multiply_fp64(const BgcComplexFP64* multiplicand, const double multiplier, BgcComplexFP64* product)
inline void bgc_complex_multiply_by_number_fp64(const BgcComplexFP64* multiplicand, const double multiplier, BgcComplexFP64* product)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
@ -388,14 +410,54 @@ inline void bgc_complex_multiply_fp64(const BgcComplexFP64* multiplicand, const
// =================== Divide =================== //
inline void bgc_complex_divide_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient)
inline int bgc_complex_devide_fp32(const BgcComplexFP32* divident, const BgcComplexFP32* divisor, BgcComplexFP32* quotient)
{
bgc_complex_multiply_fp32(dividend, 1.0f / divisor, quotient);
const float square_modulus = bgc_complex_get_square_modulus_fp32(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
return 0;
}
const float real = divident->real * divisor->real + divident->imaginary * divisor->imaginary;
const float imaginary = divident->imaginary * divisor->real - divident->real * divisor->imaginary;
const float multiplier = 1.0f / square_modulus;
quotient->real = real * multiplier;
quotient->imaginary = imaginary * multiplier;
return 1;
}
inline void bgc_complex_divide_fp64(const BgcComplexFP64* dividend, const double divisor, BgcComplexFP64* quotient)
inline int bgc_complex_devide_fp64(const BgcComplexFP64* divident, const BgcComplexFP64* divisor, BgcComplexFP64* quotient)
{
bgc_complex_multiply_fp64(dividend, 1.0 / divisor, quotient);
const double square_modulus = bgc_complex_get_square_modulus_fp64(divisor);
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
return 0;
}
const double real = divident->real * divisor->real + divident->imaginary * divisor->imaginary;
const double imaginary = divident->imaginary * divisor->real - divident->real * divisor->imaginary;
const double multiplier = 1.0 / square_modulus;
quotient->real = real * multiplier;
quotient->imaginary = imaginary * multiplier;
return 1;
}
// ============== Divide By Number ============== //
inline void bgc_complex_divide_by_number_fp32(const BgcComplexFP32* dividend, const float divisor, BgcComplexFP32* quotient)
{
bgc_complex_multiply_by_number_fp32(dividend, 1.0f / divisor, quotient);
}
inline void bgc_complex_divide_by_number_fp64(const BgcComplexFP64* dividend, const double divisor, BgcComplexFP64* quotient)
{
bgc_complex_multiply_by_number_fp64(dividend, 1.0 / divisor, quotient);
}
// ================== Average2 ================== //
@ -428,7 +490,7 @@ inline void bgc_complex_get_mean_of_three_fp64(const BgcComplexFP64* number1, co
// =================== Linear =================== //
inline void bgc_complex_interpolate_linearly_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation)
inline void bgc_complex_interpolate_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2, const float phase, BgcComplexFP32* interpolation)
{
const float counterphase = 1.0f - phase;
@ -436,7 +498,7 @@ inline void bgc_complex_interpolate_linearly_fp32(const BgcComplexFP32* number1,
interpolation->imaginary = number1->imaginary * counterphase + number2->imaginary * phase;
}
inline void bgc_complex_interpolate_linearly_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation)
inline void bgc_complex_interpolate_fp64(const BgcComplexFP64* number1, const BgcComplexFP64* number2, const double phase, BgcComplexFP64* interpolation)
{
const double counterphase = 1.0 - phase;
@ -444,54 +506,6 @@ inline void bgc_complex_interpolate_linearly_fp64(const BgcComplexFP64* number1,
interpolation->imaginary = number1->imaginary * counterphase + number2->imaginary * phase;
}
// ================== Minimal =================== //
inline void bgc_complex_minimize_fp32(const BgcComplexFP32* number, BgcComplexFP32* minimal)
{
if (number->real < minimal->real) {
minimal->real = number->real;
}
if (number->imaginary < minimal->imaginary) {
minimal->imaginary = number->imaginary;
}
}
inline void bgc_complex_minimize_fp64(const BgcComplexFP64* number, BgcComplexFP64* minimal)
{
if (number->real < minimal->real) {
minimal->real = number->real;
}
if (number->imaginary < minimal->imaginary) {
minimal->imaginary = number->imaginary;
}
}
// ================== Maximal =================== //
inline void bgc_complex_maximize_fp32(const BgcComplexFP32* number, BgcComplexFP32* maximal)
{
if (number->real > maximal->real) {
maximal->real = number->real;
}
if (number->imaginary > maximal->imaginary) {
maximal->imaginary = number->imaginary;
}
}
inline void bgc_complex_maximize_fp64(const BgcComplexFP64* number, BgcComplexFP64* maximal)
{
if (number->real > maximal->real) {
maximal->real = number->real;
}
if (number->imaginary > maximal->imaginary) {
maximal->imaginary = number->imaginary;
}
}
// ================== Are Close ================= //
inline int bgc_complex_are_close_fp32(const BgcComplexFP32* number1, const BgcComplexFP32* number2)
@ -525,7 +539,7 @@ inline int bgc_complex_are_close_fp64(const BgcComplexFP64* number1, const BgcCo
return square_distance <= BGC_SQUARE_EPSYLON_FP64;
}
return square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP32 * square_modulus2;
return square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus1 && square_distance <= BGC_SQUARE_EPSYLON_FP64 * square_modulus2;
}
#endif

33
basic-geometry/cotes-number.c
View file

@ -25,8 +25,17 @@ extern inline void bgc_cotes_number_swap_fp64(BgcCotesNumberFP64* number1, BgcCo
extern inline void bgc_cotes_number_convert_fp64_to_fp32(const BgcCotesNumberFP64* source, BgcCotesNumberFP32* destination);
extern inline void bgc_cotes_number_convert_fp32_to_fp64(const BgcCotesNumberFP32* source, BgcCotesNumberFP64* destination);
extern inline void bgc_cotes_number_invert_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverted);
extern inline void bgc_cotes_number_invert_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverted);
extern inline void bgc_cotes_number_make_opposite_fp32(BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_make_opposite_fp64(BgcCotesNumberFP64* number);
extern inline void bgc_cotes_number_get_opposite_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* opposite);
extern inline void bgc_cotes_number_get_opposite_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* opposite);
extern inline void bgc_cotes_number_invert_fp32(BgcCotesNumberFP32* number);
extern inline void bgc_cotes_number_invert_fp64(BgcCotesNumberFP64* number);
extern inline void bgc_cotes_number_get_inverse_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverse);
extern inline void bgc_cotes_number_get_inverse_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverse);
extern inline void bgc_cotes_number_get_exponation_fp32(const BgcCotesNumberFP32* base, const float exponent, BgcCotesNumberFP32* power);
extern inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base, const double exponent, BgcCotesNumberFP64* power);
@ -52,34 +61,34 @@ extern inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP
extern inline int bgc_cotes_number_are_close_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2);
extern inline int bgc_cotes_number_are_close_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2);
void _bgc_cotes_number_normalize_fp32(const float square_modulus, _BgcTwinCotesNumberFP32* twin)
void _bgc_cotes_number_normalize_fp32(const float square_modulus, BgcCotesNumberFP32* number)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
if (square_modulus <= BGC_SQUARE_EPSYLON_FP32 || square_modulus != square_modulus) {
twin->cos = 1.0f;
twin->sin = 0.0f;
number->_cos = 1.0f;
number->_sin = 0.0f;
return;
}
const float multiplier = sqrtf(1.0f / square_modulus);
twin->cos *= multiplier;
twin->sin *= multiplier;
number->_cos *= multiplier;
number->_sin *= multiplier;
}
void _bgc_cotes_number_normalize_fp64(const double square_modulus, _BgcTwinCotesNumberFP64* twin)
void _bgc_cotes_number_normalize_fp64(const double square_modulus, BgcCotesNumberFP64* number)
{
// (square_modulus != square_modulus) is true when square_modulus is NaN
if (square_modulus <= BGC_SQUARE_EPSYLON_FP64 || square_modulus != square_modulus) {
twin->cos = 1.0;
twin->sin = 0.0;
number->_cos = 1.0;
number->_sin = 0.0;
return;
}
const double multiplier = sqrt(1.0 / square_modulus);
twin->cos *= multiplier;
twin->sin *= multiplier;
number->_cos *= multiplier;
number->_sin *= multiplier;
}

280
basic-geometry/cotes-number.h
View file

@ -12,24 +12,14 @@
typedef struct
{
const float cos, sin;
float _cos, _sin;
} BgcCotesNumberFP32;
typedef struct
{
const double cos, sin;
double _cos, _sin;
} BgcCotesNumberFP64;
// ================= Dark Twins ================= //
typedef struct {
float cos, sin;
} _BgcTwinCotesNumberFP32;
typedef struct {
double cos, sin;
} _BgcTwinCotesNumberFP64;
// ================= Constants ================== //
extern const BgcCotesNumberFP32 BGC_IDLE_COTES_NUMBER_FP32;
@ -39,37 +29,31 @@ extern const BgcCotesNumberFP64 BGC_IDLE_COTES_NUMBER_FP64;
inline void bgc_cotes_number_reset_fp32(BgcCotesNumberFP32* number)
{
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)number;
twin->cos = 1.0f;
twin->sin = 0.0f;
number->_cos = 1.0f;
number->_sin = 0.0f;
}
inline void bgc_cotes_number_reset_fp64(BgcCotesNumberFP64* number)
{
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)number;
twin->cos = 1.0;
twin->sin = 0.0;
number->_cos = 1.0;
number->_sin = 0.0;
}
// ==================== Set ===================== //
void _bgc_cotes_number_normalize_fp32(const float square_modulus, _BgcTwinCotesNumberFP32* twin);
void _bgc_cotes_number_normalize_fp32(const float square_modulus, BgcCotesNumberFP32* twin);
void _bgc_cotes_number_normalize_fp64(const double square_modulus, _BgcTwinCotesNumberFP64* twin);
void _bgc_cotes_number_normalize_fp64(const double square_modulus, BgcCotesNumberFP64* twin);
inline void bgc_cotes_number_set_values_fp32(const float x1, const float x2, BgcCotesNumberFP32* number)
{
const float square_modulus = x1 * x1 + x2 * x2;
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)number;
twin->cos = x1;
twin->sin = x2;
number->_cos = x1;
number->_sin = x2;
if (!bgc_is_sqare_unit_fp32(square_modulus)) {
_bgc_cotes_number_normalize_fp32(square_modulus, twin);
_bgc_cotes_number_normalize_fp32(square_modulus, number);
}
}
@ -77,13 +61,11 @@ inline void bgc_cotes_number_set_values_fp64(const double x1, const double x2, B
{
const double square_modulus = x1 * x1 + x2 * x2;
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)number;
twin->cos = x1;
twin->sin = x2;
number->_cos = x1;
number->_sin = x2;
if (!bgc_is_sqare_unit_fp64(square_modulus)) {
_bgc_cotes_number_normalize_fp64(square_modulus, twin);
_bgc_cotes_number_normalize_fp64(square_modulus, number);
}
}
@ -93,168 +75,148 @@ inline void bgc_cotes_number_set_turn_fp32(const float angle, const BgcAngleUnit
{
const float radians = bgc_angle_to_radians_fp32(angle, unit);
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)number;
twin->cos = cosf(radians);
twin->sin = sinf(radians);
number->_cos = cosf(radians);
number->_sin = sinf(radians);
}
inline void bgc_cotes_number_set_turn_fp64(const double angle, const BgcAngleUnitEnum unit, BgcCotesNumberFP64* number)
{
const double radians = bgc_angle_to_radians_fp64(angle, unit);
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)number;
twin->cos = cos(radians);
twin->sin = sin(radians);
number->_cos = cos(radians);
number->_sin = sin(radians);
}
// =================== Angle =================== //
inline float bgc_cotes_number_get_angle_fp32(const BgcCotesNumberFP32* number, const BgcAngleUnitEnum unit)
{
if (number->cos >= 1.0f - BGC_EPSYLON_FP32) {
return 0.0f;
}
if (number->cos <= -1.0f + BGC_EPSYLON_FP32) {
return bgc_angle_get_half_circle_fp32(unit);
}
if (number->sin >= 1.0f - BGC_EPSYLON_FP32) {
return bgc_angle_get_quater_circle_fp32(unit);
}
if (number->sin <= -1.0f + BGC_EPSYLON_FP32) {
return 0.75f * bgc_angle_get_full_circle_fp32(unit);
}
return bgc_radians_to_units_fp32(atan2f(number->sin, number->cos), unit);
return bgc_radians_to_units_fp32(atan2f(number->_sin, number->_cos), unit);
}
inline double bgc_cotes_number_get_angle_fp64(const BgcCotesNumberFP64* number, const BgcAngleUnitEnum unit)
{
if (number->cos >= 1.0 - BGC_EPSYLON_FP64) {
return 0.0;
}
if (number->cos <= -1.0 + BGC_EPSYLON_FP64) {
return bgc_angle_get_half_circle_fp64(unit);
}
if (number->sin >= 1.0 - BGC_EPSYLON_FP64) {
return bgc_angle_get_quater_circle_fp64(unit);
}
if (number->sin <= -1.0 + BGC_EPSYLON_FP64) {
return 0.75 * bgc_angle_get_full_circle_fp64(unit);
}
return bgc_radians_to_units_fp64(atan2(number->sin, number->cos), unit);
return bgc_radians_to_units_fp64(atan2(number->_sin, number->_cos), unit);
}
// ==================== Copy ==================== //
inline void bgc_cotes_number_copy_fp32(const BgcCotesNumberFP32* source, BgcCotesNumberFP32* destination)
{
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)destination;
twin->cos = source->cos;
twin->sin = source->sin;
destination->_cos = source->_cos;
destination->_sin = source->_sin;
}
inline void bgc_cotes_number_copy_fp64(const BgcCotesNumberFP64* source, BgcCotesNumberFP64* destination)
{
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)destination;
twin->cos = source->cos;
twin->sin = source->sin;
destination->_cos = source->_cos;
destination->_sin = source->_sin;
}
// ==================== Swap ==================== //
inline void bgc_cotes_number_swap_fp32(BgcCotesNumberFP32* number1, BgcCotesNumberFP32* number2)
{
const float cos = number1->cos;
const float sin = number1->sin;
const float cos = number1->_cos;
const float sin = number1->_sin;
_BgcTwinCotesNumberFP32* twin1 = (_BgcTwinCotesNumberFP32*)number1;
number1->_cos = number2->_cos;
number1->_sin = number2->_sin;
twin1->cos = number2->cos;
twin1->sin = number2->sin;
_BgcTwinCotesNumberFP32* twin2 = (_BgcTwinCotesNumberFP32*)number2;
twin2->cos = cos;
twin2->sin = sin;
number2->_cos = cos;
number2->_sin = sin;
}
inline void bgc_cotes_number_swap_fp64(BgcCotesNumberFP64* number1, BgcCotesNumberFP64* number2)
{
const double cos = number1->cos;
const double sin = number1->sin;
const double cos = number1->_cos;
const double sin = number1->_sin;
_BgcTwinCotesNumberFP64* twin1 = (_BgcTwinCotesNumberFP64*)number1;
number1->_cos = number2->_cos;
number1->_sin = number2->_sin;
twin1->cos = number2->cos;
twin1->sin = number2->sin;
_BgcTwinCotesNumberFP64* twin2 = (_BgcTwinCotesNumberFP64*)number2;
twin2->cos = cos;
twin2->sin = sin;
number2->_cos = cos;
number2->_sin = sin;
}
// ================== Convert =================== //
inline void bgc_cotes_number_convert_fp64_to_fp32(const BgcCotesNumberFP64* source, BgcCotesNumberFP32* destination)
{
bgc_cotes_number_set_values_fp32((float)source->cos, (float)source->sin, destination);
bgc_cotes_number_set_values_fp32((float)source->_cos, (float)source->_sin, destination);
}
inline void bgc_cotes_number_convert_fp32_to_fp64(const BgcCotesNumberFP32* source, BgcCotesNumberFP64* destination)
{
bgc_cotes_number_set_values_fp64((double)source->cos, (double)source->sin, destination);
bgc_cotes_number_set_values_fp64((double)source->_cos, (double)source->_sin, destination);
}
// ================== Negative ================== //
inline void bgc_cotes_number_make_opposite_fp32(BgcCotesNumberFP32* number)
{
number->_cos = -number->_cos;
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_make_opposite_fp64(BgcCotesNumberFP64* number)
{
number->_cos = -number->_cos;
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_opposite_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* opposite)
{
opposite->_cos = -number->_cos;
opposite->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_opposite_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* opposite)
{
opposite->_cos = -number->_cos;
opposite->_sin = -number->_sin;
}
// =================== Invert =================== //
inline void bgc_cotes_number_invert_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverted)
inline void bgc_cotes_number_invert_fp32(BgcCotesNumberFP32* number)
{
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)inverted;
twin->cos = number->cos;
twin->sin = -number->sin;
number->_sin = -number->_sin;
}
inline void bgc_cotes_number_invert_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverted)
inline void bgc_cotes_number_invert_fp64(BgcCotesNumberFP64* number)
{
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)inverted;
number->_sin = -number->_sin;
}
twin->cos = number->cos;
twin->sin = -number->sin;
inline void bgc_cotes_number_get_inverse_fp32(const BgcCotesNumberFP32* number, BgcCotesNumberFP32* inverse)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
}
inline void bgc_cotes_number_get_inverse_fp64(const BgcCotesNumberFP64* number, BgcCotesNumberFP64* inverse)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
}
// ================= Exponation ================= //
inline void bgc_cotes_number_get_exponation_fp32(const BgcCotesNumberFP32* base, const float exponent, BgcCotesNumberFP32* power)
{
const float power_angle = exponent * atan2f(base->sin, base->cos);
const float power_angle = exponent * atan2f(base->_sin, base->_cos);
_BgcTwinCotesNumberFP32* twin = (_BgcTwinCotesNumberFP32*)power;
twin->cos = cosf(power_angle);
twin->sin = sinf(power_angle);
power->_cos = cosf(power_angle);
power->_sin = sinf(power_angle);
}
inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base, const double exponent, BgcCotesNumberFP64* power)
{
const double power_angle = exponent * atan2(base->sin, base->cos);
const double power_angle = exponent * atan2(base->_sin, base->_cos);
_BgcTwinCotesNumberFP64* twin = (_BgcTwinCotesNumberFP64*)power;
twin->cos = cos(power_angle);
twin->sin = sin(power_angle);
power->_cos = cos(power_angle);
power->_sin = sin(power_angle);
}
// ================ Combination ================= //
@ -262,8 +224,8 @@ inline void bgc_cotes_number_get_exponation_fp64(const BgcCotesNumberFP64* base,
inline void bgc_cotes_number_combine_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2, BgcCotesNumberFP32* result)
{
bgc_cotes_number_set_values_fp32(
number1->cos * number2->cos - number1->sin * number2->sin,
number1->cos * number2->sin + number1->sin * number2->cos,
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
);
}
@ -271,8 +233,8 @@ inline void bgc_cotes_number_combine_fp32(const BgcCotesNumberFP32* number1, con
inline void bgc_cotes_number_combine_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2, BgcCotesNumberFP64* result)
{
bgc_cotes_number_set_values_fp64(
number1->cos * number2->cos - number1->sin * number2->sin,
number1->cos * number2->sin + number1->sin * number2->cos,
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
);
}
@ -282,8 +244,8 @@ inline void bgc_cotes_number_combine_fp64(const BgcCotesNumberFP64* number1, con
inline void bgc_cotes_number_exclude_fp32(const BgcCotesNumberFP32* base, const BgcCotesNumberFP32* excludant, BgcCotesNumberFP32* difference)
{
bgc_cotes_number_set_values_fp32(
base->cos * excludant->cos + base->sin * excludant->sin,
base->sin * excludant->cos - base->cos * excludant->sin,
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
);
}
@ -291,8 +253,8 @@ inline void bgc_cotes_number_exclude_fp32(const BgcCotesNumberFP32* base, const
inline void bgc_cotes_number_exclude_fp64(const BgcCotesNumberFP64* base, const BgcCotesNumberFP64* excludant, BgcCotesNumberFP64* difference)
{
bgc_cotes_number_set_values_fp64(
base->cos * excludant->cos + base->sin * excludant->sin,
base->sin * excludant->cos - base->cos * excludant->sin,
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
);
}
@ -301,44 +263,44 @@ inline void bgc_cotes_number_exclude_fp64(const BgcCotesNumberFP64* base, const
inline void bgc_cotes_number_get_rotation_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix)
{
matrix->r1c1 = number->cos;
matrix->r1c2 = -number->sin;
matrix->r2c1 = number->sin;
matrix->r2c2 = number->cos;
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
matrix->r2c1 = number->_sin;
matrix->r2c2 = number->_cos;
}
inline void bgc_cotes_number_get_rotation_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix)
{
matrix->r1c1 = number->cos;
matrix->r1c2 = -number->sin;
matrix->r2c1 = number->sin;
matrix->r2c2 = number->cos;
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
matrix->r2c1 = number->_sin;
matrix->r2c2 = number->_cos;
}
// ============== Reverse Matrix ================ //
inline void bgc_cotes_number_get_reverse_matrix_fp32(const BgcCotesNumberFP32* number, BgcMatrix2x2FP32* matrix)
{
matrix->r1c1 = number->cos;
matrix->r1c2 = number->sin;
matrix->r2c1 = -number->sin;
matrix->r2c2 = number->cos;
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
matrix->r2c1 = -number->_sin;
matrix->r2c2 = number->_cos;
}
inline void bgc_cotes_number_get_reverse_matrix_fp64(const BgcCotesNumberFP64* number, BgcMatrix2x2FP64* matrix)
{
matrix->r1c1 = number->cos;
matrix->r1c2 = number->sin;
matrix->r2c1 = -number->sin;
matrix->r2c2 = number->cos;
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
matrix->r2c1 = -number->_sin;
matrix->r2c2 = number->_cos;
}
// ================ Turn Vector ================= //
inline void bgc_cotes_number_turn_vector_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result)
{
const float x1 = number->cos * vector->x1 - number->sin * vector->x2;
const float x2 = number->sin * vector->x1 + number->cos * vector->x2;
const float x1 = number->_cos * vector->x1 - number->_sin * vector->x2;
const float x2 = number->_sin * vector->x1 + number->_cos * vector->x2;
result->x1 = x1;
result->x2 = x2;
@ -346,8 +308,8 @@ inline void bgc_cotes_number_turn_vector_fp32(const BgcCotesNumberFP32* number,
inline void bgc_cotes_number_turn_vector_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result)
{
const double x1 = number->cos * vector->x1 - number->sin * vector->x2;
const double x2 = number->sin * vector->x1 + number->cos * vector->x2;
const double x1 = number->_cos * vector->x1 - number->_sin * vector->x2;
const double x2 = number->_sin * vector->x1 + number->_cos * vector->x2;
result->x1 = x1;
result->x2 = x2;
@ -357,8 +319,8 @@ inline void bgc_cotes_number_turn_vector_fp64(const BgcCotesNumberFP64* number,
inline void bgc_cotes_number_turn_vector_back_fp32(const BgcCotesNumberFP32* number, const BgcVector2FP32* vector, BgcVector2FP32* result)
{
const float x1 = number->sin * vector->x2 + number->cos * vector->x1;
const float x2 = number->cos * vector->x2 - number->sin * vector->x1;
const float x1 = number->_sin * vector->x2 + number->_cos * vector->x1;
const float x2 = number->_cos * vector->x2 - number->_sin * vector->x1;
result->x1 = x1;
result->x2 = x2;
@ -366,8 +328,8 @@ inline void bgc_cotes_number_turn_vector_back_fp32(const BgcCotesNumberFP32* num
inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP64* number, const BgcVector2FP64* vector, BgcVector2FP64* result)
{
const double x1 = number->sin * vector->x2 + number->cos * vector->x1;
const double x2 = number->cos * vector->x2 - number->sin * vector->x1;
const double x1 = number->_sin * vector->x2 + number->_cos * vector->x1;
const double x2 = number->_cos * vector->x2 - number->_sin * vector->x1;
result->x1 = x1;
result->x2 = x2;
@ -377,16 +339,16 @@ inline void bgc_cotes_number_turn_vector_back_fp64(const BgcCotesNumberFP64* num
inline int bgc_cotes_number_are_close_fp32(const BgcCotesNumberFP32* number1, const BgcCotesNumberFP32* number2)
{
const float d_cos = number1->cos - number2->cos;
const float d_sin = number1->sin - number2->sin;
const float d_cos = number1->_cos - number2->_cos;
const float d_sin = number1->_sin - number2->_sin;
return d_cos * d_cos + d_sin * d_sin <= BGC_SQUARE_EPSYLON_FP32;
}
inline int bgc_cotes_number_are_close_fp64(const BgcCotesNumberFP64* number1, const BgcCotesNumberFP64* number2)
{
const double d_cos = number1->cos - number2->cos;
const double d_sin = number1->sin - number2->sin;
const double d_cos = number1->_cos - number2->_cos;
const double d_sin = number1->_sin - number2->_sin;
return d_cos * d_cos + d_sin * d_sin <= BGC_SQUARE_EPSYLON_FP64;
}

16
basic-geometry/matrix3x3.h
View file

@ -274,22 +274,6 @@ inline int bgc_matrix3x3_is_singular_fp64(const BgcMatrix3x3FP64* matrix)
// ================ Is Rotation ================= //
inline int bgc_matrix3x3_is_rotation_fp32(const BgcMatrix3x3FP32* matrix)
{
if (!bgc_is_unit_fp32(bgc_matrix3x3_get_determinant_fp32(matrix))) {
return 0;
}
BgcMatrix3x3FP32 transposed, product;
bgc_matrix3x3_transpose_fp32(matrix, &transposed);
bgc_matrix_product_3x3_at_3x3_fp32(matrix, &transposed, &product);
return bgc_is_unit_fp32(product.r1c1) && bgc_is_zero_fp32(product.r1c2) && bgc_is_zero_fp32(product.r1c3)
&& bgc_is_zero_fp32(product.r2c1) && bgc_is_unit_fp32(product.r2c2) && bgc_is_zero_fp32(product.r2c3)
&& bgc_is_zero_fp32(product.r3c1) && bgc_is_zero_fp32(product.r3c2) && bgc_is_unit_fp32(product.r3c3);
}
inline int bgc_matrix3x3_is_rotation_fp32a(const BgcMatrix3x3FP32* matrix)
{
if (!bgc_is_unit_fp32(bgc_matrix3x3_get_determinant_fp32(matrix))) {

72
basic-geometry/quaternion.c
View file

@ -4,8 +4,8 @@
extern inline void bgc_quaternion_reset_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_reset_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_quaternion_set_to_identity_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_set_to_identity_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_quaternion_make_unit_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_make_unit_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_quaternion_set_values_fp32(const float s0, const float x1, const float x2, const float x3, BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_set_values_fp64(const double s0, const double x1, const double x2, const double x3, BgcQuaternionFP64* quaternion);
@ -31,21 +31,6 @@ extern inline void bgc_quaternion_swap_fp64(BgcQuaternionFP64* quarternion1, Bgc
extern inline void bgc_quaternion_convert_fp64_to_fp32(const BgcQuaternionFP64* source, BgcQuaternionFP32* destination);
extern inline void bgc_quaternion_convert_fp32_to_fp64(const BgcQuaternionFP32* source, BgcQuaternionFP64* destination);
extern inline void bgc_quaternion_conjugate_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* conjugate);
extern inline void bgc_quaternion_conjugate_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* conjugate);
extern inline int bgc_quaternion_invert_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* inverted);
extern inline int bgc_quaternion_invert_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* inverted);
extern inline int bgc_quaternion_normalize_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* normalized);
extern inline int bgc_quaternion_normalize_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* normalized);
extern inline void bgc_quaternion_get_product_fp32(const BgcQuaternionFP32* left, const BgcQuaternionFP32* right, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_get_product_fp64(const BgcQuaternionFP64* left, const BgcQuaternionFP64* right, BgcQuaternionFP64* product);
extern inline int bgc_quaternion_get_ratio_fp32(const BgcQuaternionFP32* divident, const BgcQuaternionFP32* divisor, BgcQuaternionFP32* quotient);
extern inline int bgc_quaternion_get_ratio_fp64(const BgcQuaternionFP64* divident, const BgcQuaternionFP64* divisor, BgcQuaternionFP64* quotient);
extern inline void bgc_quaternion_add_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2, BgcQuaternionFP32* sum);
extern inline void bgc_quaternion_add_fp64(const BgcQuaternionFP64* quaternion1, const BgcQuaternionFP64* quaternion2, BgcQuaternionFP64* sum);
@ -55,17 +40,50 @@ extern inline void bgc_quaternion_add_scaled_fp64(const BgcQuaternionFP64* basic
extern inline void bgc_quaternion_subtract_fp32(const BgcQuaternionFP32* minuend, const BgcQuaternionFP32* subtrahend, BgcQuaternionFP32* difference);
extern inline void bgc_quaternion_subtract_fp64(const BgcQuaternionFP64* minuend, const BgcQuaternionFP64* subtrahend, BgcQuaternionFP64* difference);
extern inline void bgc_quaternion_subtract_scaled_fp32(const BgcQuaternionFP32* basic_quaternion, const BgcQuaternionFP32* scalable_quaternion, const float scale, BgcQuaternionFP32* difference);
extern inline void bgc_quaternion_subtract_scaled_fp64(const BgcQuaternionFP64* basic_quaternion, const BgcQuaternionFP64* scalable_quaternion, const double scale, BgcQuaternionFP64* difference);
extern inline void bgc_quaternion_multiply_fp32(const BgcQuaternionFP32* left, const BgcQuaternionFP32* right, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_multiply_fp64(const BgcQuaternionFP64* left, const BgcQuaternionFP64* right, BgcQuaternionFP64* product);
extern inline void bgc_quaternion_multiply_fp32(const BgcQuaternionFP32* multiplicand, const float multipier, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_multiply_fp64(const BgcQuaternionFP64* multiplicand, const double multipier, BgcQuaternionFP64* product);
extern inline void bgc_quaternion_multiply_by_number_fp32(const BgcQuaternionFP32* multiplicand, const float multipier, BgcQuaternionFP32* product);
extern inline void bgc_quaternion_multiply_by_number_fp64(const BgcQuaternionFP64* multiplicand, const double multipier, BgcQuaternionFP64* product);
extern inline void bgc_quaternion_divide_fp32(const BgcQuaternionFP32* dividend, const float divisor, BgcQuaternionFP32* quotient);
extern inline void bgc_quaternion_divide_fp64(const BgcQuaternionFP64* dividend, const double divisor, BgcQuaternionFP64* quotient);
extern inline int bgc_quaternion_divide_fp32(const BgcQuaternionFP32* divident, const BgcQuaternionFP32* divisor, BgcQuaternionFP32* quotient);
extern inline int bgc_quaternion_divide_fp64(const BgcQuaternionFP64* divident, const BgcQuaternionFP64* divisor, BgcQuaternionFP64* quotient);
extern inline void bgc_quaternion_interpolate_linearly_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const float phase, BgcQuaternionFP32* interpolation);
extern inline void bgc_quaternion_interpolate_linearly_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const double phase, BgcQuaternionFP64* interpolation);
extern inline void bgc_quaternion_divide_by_number_fp32(const BgcQuaternionFP32* dividend, const float divisor, BgcQuaternionFP32* quotient);
extern inline void bgc_quaternion_divide_by_number_fp64(const BgcQuaternionFP64* dividend, const double divisor, BgcQuaternionFP64* quotient);
extern inline void bgc_quaternion_get_mean_of_two_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, BgcQuaternionFP32* mean);
extern inline void bgc_quaternion_get_mean_of_two_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, BgcQuaternionFP64* mean);
extern inline void bgc_quaternion_get_mean_of_three_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const BgcQuaternionFP32* vector3, BgcQuaternionFP32* mean);
extern inline void bgc_quaternion_get_mean_of_three_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const BgcQuaternionFP64* vector3, BgcQuaternionFP64* mean);
extern inline void bgc_quaternion_interpolate_fp32(const BgcQuaternionFP32* vector1, const BgcQuaternionFP32* vector2, const float phase, BgcQuaternionFP32* interpolation);
extern inline void bgc_quaternion_interpolate_fp64(const BgcQuaternionFP64* vector1, const BgcQuaternionFP64* vector2, const double phase, BgcQuaternionFP64* interpolation);
extern inline void bgc_quaternion_conjugate_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_conjugate_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_quaternion_get_conjugate_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* conjugate);
extern inline void bgc_quaternion_get_conjugate_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* conjugate);
extern inline void bgc_quaternion_make_opposite_fp32(BgcQuaternionFP32* quaternion);
extern inline void bgc_quaternion_make_opposite_fp64(BgcQuaternionFP64* quaternion);
extern inline void bgc_quaternion_get_opposite_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* opposite);
extern inline void bgc_quaternion_get_opposite_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* opposite);
extern inline int bgc_quaternion_invert_fp32(BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_invert_fp64(BgcQuaternionFP64* quaternion);
extern inline int bgc_quaternion_get_inverse_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* inverse);
extern inline int bgc_quaternion_get_inverse_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* inverse);
extern inline int bgc_quaternion_normalize_fp32(BgcQuaternionFP32* quaternion);
extern inline int bgc_quaternion_normalize_fp64(BgcQuaternionFP64* quaternion);
extern inline int bgc_quaternion_get_normalized_fp32(const BgcQuaternionFP32* quaternion, BgcQuaternionFP32* normalized);
extern inline int bgc_quaternion_get_normalized_fp64(const BgcQuaternionFP64* quaternion, BgcQuaternionFP64* normalized);
extern inline int bgc_quaternion_get_rotation_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation);
extern inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation);
@ -73,8 +91,8 @@ extern inline int bgc_quaternion_get_rotation_matrix_fp64(const BgcQuaternionFP6
extern inline int bgc_quaternion_get_reverse_matrix_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* reverse);
extern inline int bgc_quaternion_get_reverse_matrix_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* reverse);
extern inline int bgc_quaternion_get_both_matrixes_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation, BgcMatrix3x3FP32* reverse);
extern inline int bgc_quaternion_get_both_matrixes_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation, BgcMatrix3x3FP64* reverse);
extern inline int bgc_quaternion_get_both_matrices_fp32(const BgcQuaternionFP32* quaternion, BgcMatrix3x3FP32* rotation, BgcMatrix3x3FP32* reverse);
extern inline int bgc_quaternion_get_both_matrices_fp64(const BgcQuaternionFP64* quaternion, BgcMatrix3x3FP64* rotation, BgcMatrix3x3FP64* reverse);
extern inline int bgc_quaternion_are_close_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2);
extern inline int bgc_quaternion_are_close_fp32(const BgcQuaternionFP32* quaternion1, const BgcQuaternionFP32* quaternion2);

532
basic-geometry/quaternion.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

 @ -33,9 +33,9 @@ inline void bgc_quaternion_reset_fp64(BgcQuaternionFP64 * quaternion)