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Переход на парадигму Destination first в порядке параметров функий

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This commit is contained in:
Andrey Pokidov 2026-02-01 23:42:51 +07:00
parent f7e41645fe
commit 03627f4401
41 changed files with 1570 additions and 1978 deletions
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8
basic-geometry-dev/affine3.c
View file

@ -41,18 +41,18 @@ BGC_FP32_Affine3* _create_bgc_affine3_random_list(int affine_amount)
for (int i = 0; i < affine_amount; i++) {
bgc_fp32_versor_make(
&position.turn,
get_random_value_fp32(),
get_random_value_fp32(),
get_random_value_fp32(),
get_random_value_fp32(),
&position.turn
get_random_value_fp32()
);
position.shift.x1 = get_random_value_fp32();
position.shift.x2 = get_random_value_fp32();
position.shift.x3 = get_random_value_fp32();
bgc_fp32_position3_get_outward_affine(&position, &affines[i]);
bgc_fp32_position3_get_outward_affine(&affines[i], &position);
}
return affines;
@ -131,7 +131,7 @@ float test_bgc_affine3_performance(int affine_amount, int vector_per_affine)
for (int i = 0; i < affine_amount; i++)
{
for (int j = 0; j < vector_per_affine; j++) {
bgc_fp32_affine3_transform_point(&affines[i], &source_vectors[vector_index], &result_vectors[vector_index]);
bgc_fp32_affine3_transform_point(&result_vectors[vector_index], &affines[i], &source_vectors[vector_index]);
vector_index++;
}
}

266
basic-geometry-dev/main.c
View file

@ -30,19 +30,19 @@ structure_fp32_t* make_structures(const unsigned int amount)
for (unsigned int i = 0; i < amount; i++) {
bgc_fp32_versor_make(
&list[i].versor1,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
&list[i].versor1
rand() * multiplier - 1.0f
);
bgc_fp32_versor_make(
&list[i].versor2,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
rand() * multiplier - 1.0f,
&list[i].versor2
rand() * multiplier - 1.0f
);
bgc_fp32_versor_reset(&list[i].result);
@ -157,74 +157,74 @@ void test_basis_difference_fp32()
BGC_FP32_Versor turn;
// No turn
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nNo turn:\n");
print_versor_fp32(&turn);
// Turn around (1, 1, 0) axis on 180 degrees
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 1.0f, 0.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
print_versor_fp32(&turn);
// 180 degree turn
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(-1.0f, 0.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, -1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n180 degree turn around (0, 1, 0):\n");
print_versor_fp32(&turn);
// 90 degree turn around x3 axis
bgc_fp32_vector3_make(2.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 3.1f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 2.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 3.1f, 0.0f);
bgc_fp32_vector3_make(0.0f, 10.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(-1.0f, 0.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 0.0f, 10.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary,-1.0f, 0.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n90 degree turn around (0, 0, 1):\n");
print_versor_fp32(&turn);
// Unorthogonal pairs turn at 90 degrees around x3 axis
bgc_fp32_vector3_make(2.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(-2.0f, 3.1f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 2.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, -2.0f, 3.1f, 0.0f);
bgc_fp32_vector3_make(0.0f, 10.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(-1.0f, 5.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 0.0f, 10.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, -1.0f, 5.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
print_versor_fp32(&turn);
// Zero vectors
bgc_fp32_vector3_make(0.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 0.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(&final_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.0f, 1.0f, 0.0f);
int code;
code = bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
code = bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
if (code >= 0) {
printf("\nZero vectors: this cannot be!\n");
@ -235,12 +235,12 @@ void test_basis_difference_fp32()
}
// Parallel vectors
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(2.0f, 0.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 2.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&final_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.0f, 1.0f, 0.0f);
code = bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
code = bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
if (code >= 0) {
printf("\nParallel vectors: this cannot be!\n");
@ -251,60 +251,60 @@ void test_basis_difference_fp32()
}
// Small angle turn (about 1 degree):
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(0.999848f, 0.017452f, 0.0f, &final_primary);
bgc_fp32_vector3_make(-0.017452f, 0.999848f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 0.999848f, 0.017452f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, -0.017452f, 0.999848f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn , &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nSmall angle turn (about 1 degree):\n");
print_versor_fp32(&turn);
// About 179 degrees turn
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(-0.999848f, -0.017452f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.017452f, -0.999848f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, -0.999848f, -0.017452f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.017452f, -0.999848f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 179 degrees turn:\n");
print_versor_fp32(&turn);
// 120 degrees around (-1, -1, 1)
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(0.0f, 0.0f, -1.0f, &final_auxiliary);
bgc_fp32_vector3_make(&final_primary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 0.0f, 0.0f, -1.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n120 degees turn:\n");
print_versor_fp32(&turn);
// About 1 degree turn difference between initial_primary and initial_auxiliary directions
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(0.999848f, 0.017452f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(-1.0f, 0.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 0.999848f, 0.017452f, 0.0f);
bgc_fp32_vector3_make(&final_primary, 0.0f, 1.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, -1.0f, 0.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 1 degree turn difference between initial_primary and initial_auxiliary directions:\n");
print_versor_fp32(&turn);
// About 0.01 degree turn difference between initial_primary and initial_auxiliary directions
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &initial_primary);
bgc_fp32_vector3_make(1.0f, 0.000001f, 0.0f, &initial_auxiliary);
bgc_fp32_vector3_make(0.0f, -1.0f, 0.0f, &final_primary);
bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_auxiliary);
bgc_fp32_vector3_make(&initial_primary, 1.0f, 0.0f, 0.0f);
bgc_fp32_vector3_make(&initial_auxiliary, 1.0f, 0.000001f, 0.0f);
bgc_fp32_vector3_make(&final_primary, 0.0f, -1.0f, 0.0f);
bgc_fp32_vector3_make(&final_auxiliary, 1.0f, 0.0f, 0.0f);
bgc_fp32_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp32_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 0.01 degree turn difference between initial_primary and initial_auxiliary directions:\n");
print_versor_fp32(&turn);
@ -318,72 +318,72 @@ void test_basis_difference_fp64()
BGC_FP64_Versor turn;
// No turn
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nNo turn:\n");
print_versor_fp64(&turn);
// Turn around (1, 1, 0) axis on 180 degrees
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_primary);
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_primary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 1.0, 0.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
print_versor_fp64(&turn);
// 180 degree turn
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(-1.0, 0.0, 0.0, &final_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_auxiliary, -1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n180 degree turn around (0, 1, 0):\n");
print_versor_fp64(&turn);
// 90 degree turn around x3 axis
bgc_fp64_vector3_make(2.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 3.1, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 2.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 3.1, 0.0);
bgc_fp64_vector3_make(0.0, 10.0, 0.0, &final_primary);
bgc_fp64_vector3_make(-1.0, 0.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&final_primary, 0.0, 10.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, -1.0, 0.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n90 degree turn around (0, 0, 1):\n");
print_versor_fp64(&turn);
// Unorthogonal pairs turn at 90 degrees around x3 axis
bgc_fp64_vector3_make(2.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(-2.0, 3.1, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 2.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, -2.0, 3.1, 0.0);
bgc_fp64_vector3_make(0.0, 10.0, 0.0, &final_primary);
bgc_fp64_vector3_make(-1.0, 5.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&final_primary, 0.0, 10.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, -1.0, 5.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
print_versor_fp64(&turn);
// Zero vectors
bgc_fp64_vector3_make(0.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 0.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.0, 1.0, 0.0);
int code;
code = bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
code = bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
if (code >= 0) {
printf("\nZero vectors: this cannot be!\n");
@ -394,12 +394,12 @@ void test_basis_difference_fp64()
}
// Parallel vectors
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(2.0, 0.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 2.0, 0.0, 0.0);
bgc_fp64_vector3_make(&final_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.0, 1.0, 0.0);
code = bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
code = bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
if (code >= 0) {
printf("\nParallel vectors: this cannot be!\n");
@ -410,60 +410,60 @@ void test_basis_difference_fp64()
}
// Small angle turn (about 1 degree):
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(0.999848, 0.017452, 0.0, &final_primary);
bgc_fp64_vector3_make(-0.017452, 0.999848, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&final_primary, 0.999848, 0.017452, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, -0.017452, 0.999848, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nSmall angle turn (about 1 degree):\n");
print_versor_fp64(&turn);
// About 179 degrees turn
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(-0.999848, -0.017452, 0.0, &final_primary);
bgc_fp64_vector3_make(0.017452, -0.999848, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&final_primary, -0.999848, -0.017452, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.017452, -0.999848, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 179 degrees turn:\n");
print_versor_fp64(&turn);
// 120 degrees around (-1, -1, 1)
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_primary);
bgc_fp64_vector3_make(0.0, 0.0, -1.0, &final_auxiliary);
bgc_fp64_vector3_make(&final_primary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 0.0, 0.0, -1.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\n120 degees turn:\n");
print_versor_fp64(&turn);
// About 1 degree turn difference between initial_primary and initial_auxiliary directions
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(0.999848, 0.017452, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_primary);
bgc_fp64_vector3_make(-1.0, 0.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 0.999848, 0.017452, 0.0);
bgc_fp64_vector3_make(&final_primary, 0.0, 1.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, -1.0, 0.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 1 degree turn difference between initial_primary and initial_auxiliary directions:\n");
print_versor_fp64(&turn);
// About 0.001 degree turn difference between initial_primary and initial_auxiliary directions
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &initial_primary);
bgc_fp64_vector3_make(1.0, 0.000001, 0.0, &initial_auxiliary);
bgc_fp64_vector3_make(0.0, -1.0, 0.0, &final_primary);
bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_auxiliary);
bgc_fp64_vector3_make(&initial_primary, 1.0, 0.0, 0.0);
bgc_fp64_vector3_make(&initial_auxiliary, 1.0, 0.000001, 0.0);
bgc_fp64_vector3_make(&final_primary, 0.0, -1.0, 0.0);
bgc_fp64_vector3_make(&final_auxiliary, 1.0, 0.0, 0.0);
bgc_fp64_versor_make_basis_difference(&initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary, &turn);
bgc_fp64_versor_make_basis_difference(&turn, &initial_primary, &initial_auxiliary, &final_primary, &final_auxiliary);
printf("\nAbout 0.01 degree turn difference between initial_primary and initial_auxiliary directions:\n");
print_versor_fp64(&turn);
@ -475,23 +475,23 @@ int main()
{
//BGC_FP32_Versor start = { 1.0f, 0.0f, 0.0f, 0.0f };
//BGC_FP32_Versor end = { 0.0f, 1.0f, 0.0f, 0.0f };
/*
BGC_FP32_Versor start = { 1.0f, 0.0f, 0.0f, 0.0f };
BGC_FP32_Versor end = { 0.9999f, 0.01414f, 0.0f, 0.0f };
BGC_FP32_Slerp slerp;
BGC_FP32_Versor result;
bgc_fp32_slerp_make_full(&start, &end, &slerp);
bgc_fp32_slerp_get_phase_versor(&slerp, 0.5f, &result);
bgc_fp32_slerp_make_full(&slerp, &start, &end);
bgc_fp32_slerp_get_phase_versor(&result, &slerp, 0.5f);
print_versor_fp32(&result);
*/
//test_basis_difference_fp64();
//print_versor_fp32(&result);
printf("Affine3 performance test: %f\n", test_bgc_affine3_performance(10000000, 10));
test_basis_difference_fp64();
printf("sizeof(BGC_FP32_Affine3) = %zu\n", sizeof(BGC_FP32_Affine3));
//printf("Affine3 performance test: %f\n", test_bgc_affine3_performance(10000000, 10));
//printf("sizeof(BGC_FP32_Affine3) = %zu\n", sizeof(BGC_FP32_Affine3));
//printf("offsetof(shift) = %zu\n", offsetof(BGC_FP32_Affine3, shift));
printf("sizeof(BGC_FP32_Matrix3x3) = %zu\n", sizeof(BGC_FP32_Matrix3x3));
//printf("sizeof(BGC_FP32_Matrix3x3) = %zu\n", sizeof(BGC_FP32_Matrix3x3));
return 0;
}

96
basic-geometry-test/basic-geometry-test.vcxproj
View file

@ -150,105 +150,9 @@
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311
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40
basic-geometry/affine2.c
View file

@ -1,31 +1,31 @@
#include "affine2.h"
extern inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2 * affine);
extern inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2 * affine);
extern inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2* affine);
extern inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2* affine);
extern inline void bgc_fp32_affine2_make(const BGC_FP32_Matrix2x2 * distortion, const BGC_FP32_Vector2 * shift, BGC_FP32_Affine2 * affine);
extern inline void bgc_fp64_affine2_make(const BGC_FP64_Matrix2x2 * distortion, const BGC_FP64_Vector2 * shift, BGC_FP64_Affine2 * affine);
extern inline void bgc_fp32_affine2_make(BGC_FP32_Affine2* affine, const BGC_FP32_Matrix2x2* distortion, const BGC_FP32_Vector2* shift);
extern inline void bgc_fp64_affine2_make(BGC_FP64_Affine2* affine, const BGC_FP64_Matrix2x2* distortion, const BGC_FP64_Vector2* shift);
extern inline void bgc_fp32_affine2_copy(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline void bgc_fp64_affine2_copy(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline void bgc_fp32_affine2_copy(BGC_FP32_Affine2* destination, const BGC_FP32_Affine2* source);
extern inline void bgc_fp64_affine2_copy(BGC_FP64_Affine2* destination, const BGC_FP64_Affine2* source);
extern inline void bgc_fp32_affine2_swap(BGC_FP32_Affine2 * first, BGC_FP32_Affine2 * second);
extern inline void bgc_fp64_affine2_swap(BGC_FP64_Affine2 * first, BGC_FP64_Affine2 * second);
extern inline void bgc_fp32_affine2_swap(BGC_FP32_Affine2* first, BGC_FP32_Affine2* second);
extern inline void bgc_fp64_affine2_swap(BGC_FP64_Affine2* first, BGC_FP64_Affine2* second);
extern inline void bgc_fp64_affine2_convert_to_fp32(const BGC_FP64_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline void bgc_fp32_affine2_convert_to_fp64(const BGC_FP32_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline void bgc_fp32_affine2_convert_to_fp64(BGC_FP64_Affine2* destination, const BGC_FP32_Affine2* source);
extern inline void bgc_fp64_affine2_convert_to_fp32(BGC_FP32_Affine2* destination, const BGC_FP64_Affine2* source);
extern inline int bgc_fp32_affine2_invert(BGC_FP32_Affine2 * affine);
extern inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2 * affine);
extern inline int bgc_fp32_affine2_invert(BGC_FP32_Affine2* affine);
extern inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2* affine);
extern inline int bgc_fp32_affine2_get_inverse(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination);
extern inline int bgc_fp64_affine2_get_inverse(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
extern inline int bgc_fp32_affine2_get_inverse(BGC_FP32_Affine2* inverse, const BGC_FP32_Affine2* affine);
extern inline int bgc_fp64_affine2_get_inverse(BGC_FP64_Affine2* inverse, const BGC_FP64_Affine2* affine);
extern inline void bgc_fp32_affine2_combine(const BGC_FP32_Affine2 * first, const BGC_FP32_Affine2 * second, BGC_FP32_Affine2 * combination);
extern inline void bgc_fp64_affine2_combine(const BGC_FP64_Affine2 * first, const BGC_FP64_Affine2 * second, BGC_FP64_Affine2 * combination);
extern inline void bgc_fp32_affine2_combine(BGC_FP32_Affine2* combination, const BGC_FP32_Affine2* first, const BGC_FP32_Affine2* second);
extern inline void bgc_fp64_affine2_combine(BGC_FP64_Affine2* combination, const BGC_FP64_Affine2* first, const BGC_FP64_Affine2* second);
extern inline void bgc_fp32_affine2_transform_point(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_point, BGC_FP32_Vector2 * transformed_point);
extern inline void bgc_fp64_affine2_transform_point(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point, BGC_FP64_Vector2 * transformed_point);
extern inline void bgc_fp32_affine2_transform_point(BGC_FP32_Vector2* transformed_point, const BGC_FP32_Affine2* affine, const BGC_FP32_Vector2* initial_point);
extern inline void bgc_fp64_affine2_transform_point(BGC_FP64_Vector2* transformed_point, const BGC_FP64_Affine2* affine, const BGC_FP64_Vector2* initial_point);
extern inline void bgc_fp32_affine2_transform_vector(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_vector, BGC_FP32_Vector2 * transformed_vector);
extern inline void bgc_fp64_affine2_transform_vector(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector, BGC_FP64_Vector2 * transformed_vector);
extern inline void bgc_fp32_affine2_transform_vector(BGC_FP32_Vector2* transformed_vector, const BGC_FP32_Affine2* affine, const BGC_FP32_Vector2* initial_vector);
extern inline void bgc_fp64_affine2_transform_vector(BGC_FP64_Vector2* transformed_vector, const BGC_FP64_Affine2* affine, const BGC_FP64_Vector2* initial_vector);

98
basic-geometry/affine2.h
View file

@ -2,7 +2,7 @@
#define _BGC_AFFINE2_H_INCLUDED_
#include "vector2.h"
#include "matrixes.h"
#include "matrices.h"
#include "matrix2x2.h"
// ==================== Types ==================== //
@ -19,13 +19,13 @@ typedef struct {
// ==================== Reset ==================== //
inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2 * affine)
inline void bgc_fp32_affine2_reset(BGC_FP32_Affine2* affine)
{
bgc_fp32_matrix2x2_make_identity(&affine->distortion);
bgc_fp32_vector2_reset(&affine->shift);
}
inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2 * affine)
inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2* affine)
{
bgc_fp64_matrix2x2_make_identity(&affine->distortion);
bgc_fp64_vector2_reset(&affine->shift);
@ -33,31 +33,31 @@ inline void bgc_fp64_affine2_reset(BGC_FP64_Affine2 * affine)
// ==================== Make ===================== //
inline void bgc_fp32_affine2_make(const BGC_FP32_Matrix2x2 * distortion, const BGC_FP32_Vector2 * shift, BGC_FP32_Affine2 * affine)
inline void bgc_fp32_affine2_make(BGC_FP32_Affine2* affine, const BGC_FP32_Matrix2x2* distortion, const BGC_FP32_Vector2* shift)
{
bgc_fp32_matrix2x2_copy(distortion, &affine->distortion);
bgc_fp32_vector2_copy(shift, &affine->shift);
bgc_fp32_matrix2x2_copy(&affine->distortion, distortion);
bgc_fp32_vector2_copy(&affine->shift, shift);
}
inline void bgc_fp64_affine2_make(const BGC_FP64_Matrix2x2 * distortion, const BGC_FP64_Vector2 * shift, BGC_FP64_Affine2 * affine)
inline void bgc_fp64_affine2_make(BGC_FP64_Affine2* affine, const BGC_FP64_Matrix2x2* distortion, const BGC_FP64_Vector2* shift)
{
bgc_fp64_matrix2x2_copy(distortion, &affine->distortion);
bgc_fp64_vector2_copy(shift, &affine->shift);
bgc_fp64_matrix2x2_copy(&affine->distortion, distortion);
bgc_fp64_vector2_copy(&affine->shift, shift);
}
// ==================== Copy ===================== //
inline void bgc_fp32_affine2_copy(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination)
inline void bgc_fp32_affine2_copy(BGC_FP32_Affine2* destination, const BGC_FP32_Affine2* source)
{
bgc_fp32_matrix2x2_copy(&source->distortion, &destination->distortion);
bgc_fp32_vector2_copy(&source->shift, &destination->shift);
bgc_fp32_matrix2x2_copy(&destination->distortion, &source->distortion);
bgc_fp32_vector2_copy(&destination->shift, &source->shift);
}
inline void bgc_fp64_affine2_copy(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination)
inline void bgc_fp64_affine2_copy(BGC_FP64_Affine2* destination, const BGC_FP64_Affine2* source)
{
bgc_fp64_matrix2x2_copy(&source->distortion, &destination->distortion);
bgc_fp64_vector2_copy(&source->shift, &destination->shift);
bgc_fp64_matrix2x2_copy(&destination->distortion, &source->distortion);
bgc_fp64_vector2_copy(&destination->shift, &source->shift);
}
// ==================== Swap ===================== //
@ -76,16 +76,16 @@ inline void bgc_fp64_affine2_swap(BGC_FP64_Affine2 * first, BGC_FP64_Affine2 * s
// =================== Convert =================== //
inline void bgc_fp64_affine2_convert_to_fp32(const BGC_FP64_Affine2 * source, BGC_FP32_Affine2 * destination)
inline void bgc_fp32_affine2_convert_to_fp64(BGC_FP64_Affine2* destination, const BGC_FP32_Affine2* source)
{
bgc_fp64_matrix2x2_convert_to_fp32(&source->distortion, &destination->distortion);
bgc_fp64_vector2_convert_to_fp32(&source->shift, &destination->shift);
bgc_fp32_matrix2x2_convert_to_fp64(&destination->distortion, &source->distortion);
bgc_fp32_vector2_convert_to_fp64(&destination->shift, &source->shift);
}
inline void bgc_fp32_affine2_convert_to_fp64(const BGC_FP32_Affine2 * source, BGC_FP64_Affine2 * destination)
inline void bgc_fp64_affine2_convert_to_fp32(BGC_FP32_Affine2* destination, const BGC_FP64_Affine2 * source)
{
bgc_fp32_matrix2x2_convert_to_fp64(&source->distortion, &destination->distortion);
bgc_fp32_vector2_convert_to_fp64(&source->shift, &destination->shift);
bgc_fp64_matrix2x2_convert_to_fp32(&destination->distortion, &source->distortion);
bgc_fp64_vector2_convert_to_fp32(&destination->shift, &source->shift);
}
// =================== Invert ==================== //
@ -96,7 +96,7 @@ inline int bgc_fp32_affine2_invert(BGC_FP32_Affine2 * affine)
return 0;
}
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->shift, &affine->distortion, &affine->shift);
bgc_fp32_vector2_revert(&affine->shift);
return 1;
@ -108,7 +108,7 @@ inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2 * affine)
return 0;
}
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->shift, &affine->distortion, &affine->shift);
bgc_fp64_vector2_revert(&affine->shift);
return 1;
@ -116,74 +116,74 @@ inline int bgc_fp64_affine2_invert(BGC_FP64_Affine2 * affine)
// ================= Get Inverse ================= //
inline int bgc_fp32_affine2_get_inverse(const BGC_FP32_Affine2 * source, BGC_FP32_Affine2 * destination)
inline int bgc_fp32_affine2_get_inverse(BGC_FP32_Affine2* inverse, const BGC_FP32_Affine2 * affine)
{
if (!bgc_fp32_matrix2x2_get_inverse(&source->distortion, &destination->distortion)) {
if (!bgc_fp32_matrix2x2_get_inverse(&inverse->distortion, &affine->distortion)) {
return 0;
}
bgc_fp32_multiply_matrix2x2_by_vector2(&destination->distortion, &source->shift, &destination->shift);
bgc_fp32_vector2_revert(&destination->shift);
bgc_fp32_multiply_matrix2x2_by_vector2(&inverse->shift, &inverse->distortion, &affine->shift);
bgc_fp32_vector2_revert(&inverse->shift);
return 1;
}
inline int bgc_fp64_affine2_get_inverse(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination)
inline int bgc_fp64_affine2_get_inverse(BGC_FP64_Affine2* inverse, const BGC_FP64_Affine2 * affine)
{
if (!bgc_fp64_matrix2x2_get_inverse(&source->distortion, &destination->distortion)) {
if (!bgc_fp64_matrix2x2_get_inverse(&inverse->distortion, &affine->distortion)) {
return 0;
}
bgc_fp64_multiply_matrix2x2_by_vector2(&destination->distortion, &source->shift, &destination->shift);
bgc_fp64_vector2_revert(&destination->shift);
bgc_fp64_multiply_matrix2x2_by_vector2(&inverse->shift, &inverse->distortion, &affine->shift);
bgc_fp64_vector2_revert(&inverse->shift);
return 1;
}
// =================== Combine =================== //
inline void bgc_fp32_affine2_combine(const BGC_FP32_Affine2 * first, const BGC_FP32_Affine2 * second, BGC_FP32_Affine2 * combination)
inline void bgc_fp32_affine2_combine(BGC_FP32_Affine2* combination, const BGC_FP32_Affine2 * first, const BGC_FP32_Affine2 * second)
{
BGC_FP32_Vector2 first_shift;
bgc_fp32_multiply_matrix2x2_by_vector2(&second->distortion, &first->shift, &first_shift);
bgc_fp32_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp32_vector2_add(&first_shift, &second->shift, &combination->shift);
bgc_fp32_multiply_matrix2x2_by_vector2(&first_shift, &second->distortion, &first->shift);
bgc_fp32_multiply_matrix2x2_by_matrix2x2(&combination->distortion, &second->distortion, &first->distortion);
bgc_fp32_vector2_add(&combination->shift, &second->shift, &first_shift);
}
inline void bgc_fp64_affine2_combine(const BGC_FP64_Affine2 * first, const BGC_FP64_Affine2 * second, BGC_FP64_Affine2 * combination)
inline void bgc_fp64_affine2_combine(BGC_FP64_Affine2* combination, const BGC_FP64_Affine2 * first, const BGC_FP64_Affine2 * second)
{
BGC_FP64_Vector2 first_shift;
bgc_fp64_multiply_matrix2x2_by_vector2(&second->distortion, &first->shift, &first_shift);
bgc_fp64_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp64_vector2_add(&first_shift, &second->shift, &combination->shift);
bgc_fp64_multiply_matrix2x2_by_vector2(&first_shift, &second->distortion, &first->shift);
bgc_fp64_multiply_matrix2x2_by_matrix2x2(&combination->distortion, &second->distortion, &first->distortion);
bgc_fp64_vector2_add(&combination->shift, &second->shift, &first_shift);
}
// =============== Transform Point =============== //
inline void bgc_fp32_affine2_transform_point(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_point, BGC_FP32_Vector2 * transformed_point)
inline void bgc_fp32_affine2_transform_point(BGC_FP32_Vector2* transformed_point, const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_point)
{
BGC_FP32_Vector2 distorted;
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, initial_point, &distorted);
bgc_fp32_vector2_add(&affine->shift, &distorted, transformed_point);
bgc_fp32_multiply_matrix2x2_by_vector2(&distorted, &affine->distortion, initial_point);
bgc_fp32_vector2_add(transformed_point, &affine->shift, &distorted);
}
inline void bgc_fp64_affine2_transform_point(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point, BGC_FP64_Vector2 * transformed_point)
inline void bgc_fp64_affine2_transform_point(BGC_FP64_Vector2* transformed_point, const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point)
{
BGC_FP64_Vector2 distorted;
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, initial_point, &distorted);
bgc_fp64_vector2_add(&affine->shift, &distorted, transformed_point);
bgc_fp64_multiply_matrix2x2_by_vector2(&distorted, &affine->distortion, initial_point);
bgc_fp64_vector2_add(transformed_point, &affine->shift, &distorted);
}
// ============== Transform Vector =============== //
inline void bgc_fp32_affine2_transform_vector(const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_vector, BGC_FP32_Vector2 * transformed_vector)
inline void bgc_fp32_affine2_transform_vector(BGC_FP32_Vector2* transformed_vector, const BGC_FP32_Affine2 * affine, const BGC_FP32_Vector2 * initial_vector)
{
bgc_fp32_multiply_matrix2x2_by_vector2(&affine->distortion, initial_vector, transformed_vector);
bgc_fp32_multiply_matrix2x2_by_vector2(transformed_vector, &affine->distortion, initial_vector);
}
inline void bgc_fp64_affine2_transform_vector(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector, BGC_FP64_Vector2 * transformed_vector)
inline void bgc_fp64_affine2_transform_vector(BGC_FP64_Vector2* transformed_vector, const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector)
{
bgc_fp64_multiply_matrix2x2_by_vector2(&affine->distortion, initial_vector, transformed_vector);
bgc_fp64_multiply_matrix2x2_by_vector2(transformed_vector, &affine->distortion, initial_vector);
}
#endif

40
basic-geometry/affine3.c
View file

@ -1,31 +1,31 @@
#include "affine3.h"
extern inline void bgc_fp32_affine3_reset(BGC_FP32_Affine3 * affine);
extern inline void bgc_fp64_affine3_reset(BGC_FP64_Affine3 * affine);
extern inline void bgc_fp32_affine3_reset(BGC_FP32_Affine3* affine);
extern inline void bgc_fp64_affine3_reset(BGC_FP64_Affine3* affine);
extern inline void bgc_fp32_affine3_make(const BGC_FP32_Matrix3x3 * distortion, const BGC_FP32_Vector3 * shift, BGC_FP32_Affine3 * affine);
extern inline void bgc_fp64_affine3_make(const BGC_FP64_Matrix3x3 * distortion, const BGC_FP64_Vector3 * shift, BGC_FP64_Affine3 * affine);
extern inline void bgc_fp32_affine3_make(BGC_FP32_Affine3* affine, const BGC_FP32_Matrix3x3* distortion, const BGC_FP32_Vector3* shift);
extern inline void bgc_fp64_affine3_make(BGC_FP64_Affine3* affine, const BGC_FP64_Matrix3x3* distortion, const BGC_FP64_Vector3* shift);
extern inline void bgc_fp32_affine3_copy(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline void bgc_fp64_affine3_copy(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline void bgc_fp32_affine3_copy(BGC_FP32_Affine3* destination, const BGC_FP32_Affine3* source);
extern inline void bgc_fp64_affine3_copy(BGC_FP64_Affine3* destination, const BGC_FP64_Affine3* source);
extern inline void bgc_fp32_affine3_swap(BGC_FP32_Affine3 * first, BGC_FP32_Affine3 * second);
extern inline void bgc_fp64_affine3_swap(BGC_FP64_Affine3 * first, BGC_FP64_Affine3 * second);
extern inline void bgc_fp32_affine3_swap(BGC_FP32_Affine3* first, BGC_FP32_Affine3* second);
extern inline void bgc_fp64_affine3_swap(BGC_FP64_Affine3* first, BGC_FP64_Affine3* second);
extern inline void bgc_fp64_affine3_convert_to_fp32(const BGC_FP64_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline void bgc_fp32_affine3_convert_to_fp64(const BGC_FP32_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline void bgc_fp32_affine3_convert_to_fp64(BGC_FP64_Affine3* destination, const BGC_FP32_Affine3* source);
extern inline void bgc_fp64_affine3_convert_to_fp32(BGC_FP32_Affine3* destination, const BGC_FP64_Affine3* source);
extern inline int bgc_fp32_affine3_invert(BGC_FP32_Affine3 * affine);
extern inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3 * affine);
extern inline int bgc_fp32_affine3_invert(BGC_FP32_Affine3* affine);
extern inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3* affine);
extern inline int bgc_fp32_affine3_get_inverse(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination);
extern inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
extern inline int bgc_fp32_affine3_get_inverse(BGC_FP32_Affine3* inverse, const BGC_FP32_Affine3* affine);
extern inline int bgc_fp64_affine3_get_inverse(BGC_FP64_Affine3* inverse, const BGC_FP64_Affine3* affine);
extern inline void bgc_fp32_affine3_combine(const BGC_FP32_Affine3 * first, const BGC_FP32_Affine3 * second, BGC_FP32_Affine3 * combination);
extern inline void bgc_fp64_affine3_combine(const BGC_FP64_Affine3 * first, const BGC_FP64_Affine3 * second, BGC_FP64_Affine3 * combination);
extern inline void bgc_fp32_affine3_combine(BGC_FP32_Affine3* combination, const BGC_FP32_Affine3* first, const BGC_FP32_Affine3* second);
extern inline void bgc_fp64_affine3_combine(BGC_FP64_Affine3* combination, const BGC_FP64_Affine3* first, const BGC_FP64_Affine3* second);
extern inline void bgc_fp32_affine3_transform_point(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_point, BGC_FP32_Vector3 * transformed_point);
extern inline void bgc_fp64_affine3_transform_point(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point, BGC_FP64_Vector3 * transformed_point);
extern inline void bgc_fp32_affine3_transform_point(BGC_FP32_Vector3* transformed_point, const BGC_FP32_Affine3* affine, const BGC_FP32_Vector3* initial_point);
extern inline void bgc_fp64_affine3_transform_point(BGC_FP64_Vector3* transformed_point, const BGC_FP64_Affine3* affine, const BGC_FP64_Vector3* initial_point);
extern inline void bgc_fp32_affine3_transform_vector(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_vector, BGC_FP32_Vector3 * transformed_vector);
extern inline void bgc_fp64_affine3_transform_vector(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector, BGC_FP64_Vector3 * transformed_vector);
extern inline void bgc_fp32_affine3_transform_vector(BGC_FP32_Vector3* transformed_vector, const BGC_FP32_Affine3* affine, const BGC_FP32_Vector3* initial_vector);
extern inline void bgc_fp64_affine3_transform_vector(BGC_FP64_Vector3* transformed_vector, const BGC_FP64_Affine3* affine, const BGC_FP64_Vector3* initial_vector);

98
basic-geometry/affine3.h
View file

@ -2,7 +2,7 @@
#define _BGC_AFFINE3_H_INCLUDED_
#include "vector3.h"
#include "matrixes.h"
#include "matrices.h"
#include "matrix3x3.h"
// ==================== Types ==================== //
@ -33,58 +33,58 @@ inline void bgc_fp64_affine3_reset(BGC_FP64_Affine3 * affine)
// ==================== Make ===================== //
inline void bgc_fp32_affine3_make(const BGC_FP32_Matrix3x3 * distortion, const BGC_FP32_Vector3 * shift, BGC_FP32_Affine3 * affine)
inline void bgc_fp32_affine3_make(BGC_FP32_Affine3* affine, const BGC_FP32_Matrix3x3 * distortion, const BGC_FP32_Vector3 * shift)
{
bgc_fp32_matrix3x3_copy(distortion, &affine->distortion);
bgc_fp32_vector3_copy(shift, &affine->shift);
bgc_fp32_matrix3x3_copy(&affine->distortion, distortion);
bgc_fp32_vector3_copy(&affine->shift, shift);
}
inline void bgc_fp64_affine3_make(const BGC_FP64_Matrix3x3 * distortion, const BGC_FP64_Vector3 * shift, BGC_FP64_Affine3 * affine)
inline void bgc_fp64_affine3_make(BGC_FP64_Affine3* affine, const BGC_FP64_Matrix3x3 * distortion, const BGC_FP64_Vector3 * shift)
{
bgc_fp64_matrix3x3_copy(distortion, &affine->distortion);
bgc_fp64_vector3_copy(shift, &affine->shift);
bgc_fp64_matrix3x3_copy(&affine->distortion, distortion);
bgc_fp64_vector3_copy(&affine->shift, shift);
}
// ==================== Copy ===================== //
inline void bgc_fp32_affine3_copy(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination)
inline void bgc_fp32_affine3_copy(BGC_FP32_Affine3* destination, const BGC_FP32_Affine3 * source)
{
bgc_fp32_matrix3x3_copy(&source->distortion, &destination->distortion);
bgc_fp32_vector3_copy(&source->shift, &destination->shift);
bgc_fp32_matrix3x3_copy(&destination->distortion, &source->distortion);
bgc_fp32_vector3_copy(&destination->shift, &source->shift);
}
inline void bgc_fp64_affine3_copy(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination)
inline void bgc_fp64_affine3_copy(BGC_FP64_Affine3* destination, const BGC_FP64_Affine3 * source)
{
bgc_fp64_matrix3x3_copy(&source->distortion, &destination->distortion);
bgc_fp64_vector3_copy(&source->shift, &destination->shift);
bgc_fp64_matrix3x3_copy(&destination->distortion, &source->distortion);
bgc_fp64_vector3_copy(&destination->shift, &source->shift);
}
// ==================== Swap ===================== //
inline void bgc_fp32_affine3_swap(BGC_FP32_Affine3 * first, BGC_FP32_Affine3 * second)
{
bgc_fp32_matrix3x3_copy(&first->distortion, &second->distortion);
bgc_fp32_vector3_copy(&first->shift, &second->shift);
bgc_fp32_matrix3x3_swap(&first->distortion, &second->distortion);
bgc_fp32_vector3_swap(&first->shift, &second->shift);
}
inline void bgc_fp64_affine3_swap(BGC_FP64_Affine3 * first, BGC_FP64_Affine3 * second)
{
bgc_fp64_matrix3x3_copy(&first->distortion, &second->distortion);
bgc_fp64_vector3_copy(&first->shift, &second->shift);
bgc_fp64_matrix3x3_swap(&first->distortion, &second->distortion);
bgc_fp64_vector3_swap(&first->shift, &second->shift);
}
// =================== Convert =================== //
inline void bgc_fp64_affine3_convert_to_fp32(const BGC_FP64_Affine3 * source, BGC_FP32_Affine3 * destination)
inline void bgc_fp32_affine3_convert_to_fp64(BGC_FP64_Affine3* destination, const BGC_FP32_Affine3 * source)
{
bgc_fp64_matrix3x3_convert_to_fp32(&source->distortion, &destination->distortion);
bgc_fp64_vector3_convert_to_fp32(&source->shift, &destination->shift);
bgc_fp32_matrix3x3_convert_to_fp64(&destination->distortion, &source->distortion);
bgc_fp32_vector3_convert_to_fp64(&destination->shift, &source->shift);
}
inline void bgc_fp32_affine3_convert_to_fp64(const BGC_FP32_Affine3 * source, BGC_FP64_Affine3 * destination)
inline void bgc_fp64_affine3_convert_to_fp32(BGC_FP32_Affine3* destination, const BGC_FP64_Affine3* source)
{
bgc_fp32_matrix3x3_convert_to_fp64(&source->distortion, &destination->distortion);
bgc_fp32_vector3_convert_to_fp64(&source->shift, &destination->shift);
bgc_fp64_matrix3x3_convert_to_fp32(&destination->distortion, &source->distortion);
bgc_fp64_vector3_convert_to_fp32(&destination->shift, &source->shift);
}
// =================== Invert ==================== //
@ -95,7 +95,7 @@ inline int bgc_fp32_affine3_invert(BGC_FP32_Affine3 * affine)
return 0;
}
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->shift, &affine->distortion, &affine->shift);
bgc_fp32_vector3_revert(&affine->shift);
return 1;
@ -107,7 +107,7 @@ inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3 * affine)
return 0;
}
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, &affine->shift, &affine->shift);
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->shift, &affine->distortion, &affine->shift);
bgc_fp64_vector3_revert(&affine->shift);
return 1;
@ -115,25 +115,25 @@ inline int bgc_fp64_affine3_invert(BGC_FP64_Affine3 * affine)
// ================= Get Inverse ================= //
inline int bgc_fp32_affine3_get_inverse(const BGC_FP32_Affine3 * source, BGC_FP32_Affine3 * destination)
inline int bgc_fp32_affine3_get_inverse(BGC_FP32_Affine3* destination, const BGC_FP32_Affine3 * source)
{
if (!bgc_fp32_matrix3x3_get_inverse(&source->distortion, &destination->distortion)) {
if (!bgc_fp32_matrix3x3_get_inverse(&destination->distortion, &source->distortion)) {
return 0;
}
bgc_fp32_multiply_matrix3x3_by_vector3(&destination->distortion, &source->shift, &destination->shift);
bgc_fp32_multiply_matrix3x3_by_vector3(&destination->shift, &destination->distortion, &source->shift);
bgc_fp32_vector3_revert(&destination->shift);
return 1;
}
inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination)
inline int bgc_fp64_affine3_get_inverse(BGC_FP64_Affine3* destination, const BGC_FP64_Affine3 * source)
{
if (!bgc_fp64_matrix3x3_get_inverse(&source->distortion, &destination->distortion)) {
if (!bgc_fp64_matrix3x3_get_inverse(&destination->distortion, &source->distortion)) {
return 0;
}
bgc_fp64_multiply_matrix3x3_by_vector3(&destination->distortion, &source->shift, &destination->shift);
bgc_fp64_multiply_matrix3x3_by_vector3(&destination->shift, &destination->distortion, &source->shift);
bgc_fp64_vector3_revert(&destination->shift);
return 1;
@ -141,48 +141,48 @@ inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP6
// =================== Combine =================== //
inline void bgc_fp32_affine3_combine(const BGC_FP32_Affine3 * first, const BGC_FP32_Affine3 * second, BGC_FP32_Affine3 * combination)
inline void bgc_fp32_affine3_combine(BGC_FP32_Affine3* combination, const BGC_FP32_Affine3 * first, const BGC_FP32_Affine3 * second)
{
BGC_FP32_Vector3 first_shift;
bgc_fp32_multiply_matrix3x3_by_vector3(&second->distortion, &first->shift, &first_shift);
bgc_fp32_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp32_vector3_add(&first_shift, &second->shift, &combination->shift);
bgc_fp32_multiply_matrix3x3_by_vector3(&first_shift, &second->distortion, &first->shift);
bgc_fp32_multiply_matrix3x3_by_matrix3x3(&combination->distortion, &second->distortion, &first->distortion);
bgc_fp32_vector3_add(&combination->shift, &first_shift, &second->shift);
}
inline void bgc_fp64_affine3_combine(const BGC_FP64_Affine3 * first, const BGC_FP64_Affine3 * second, BGC_FP64_Affine3 * combination)
inline void bgc_fp64_affine3_combine(BGC_FP64_Affine3* combination, const BGC_FP64_Affine3 * first, const BGC_FP64_Affine3 * second)
{
BGC_FP64_Vector3 first_shift;
bgc_fp64_multiply_matrix3x3_by_vector3(&second->distortion, &first->shift, &first_shift);
bgc_fp64_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
bgc_fp64_vector3_add(&first_shift, &second->shift, &combination->shift);
bgc_fp64_multiply_matrix3x3_by_vector3(&first_shift, &second->distortion, &first->shift);
bgc_fp64_multiply_matrix3x3_by_matrix3x3(&combination->distortion, &second->distortion, &first->distortion);
bgc_fp64_vector3_add(&combination->shift, &first_shift, &second->shift);
}
// =============== Transform Point =============== //
inline void bgc_fp32_affine3_transform_point(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_point, BGC_FP32_Vector3 * transformed_point)
inline void bgc_fp32_affine3_transform_point(BGC_FP32_Vector3* transformed_point, const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_point)
{
BGC_FP32_Vector3 distorted;
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, initial_point, &distorted);
bgc_fp32_vector3_add(&affine->shift, &distorted, transformed_point);
bgc_fp32_multiply_matrix3x3_by_vector3(&distorted, &affine->distortion, initial_point);
bgc_fp32_vector3_add(transformed_point, &affine->shift, &distorted);
}
inline void bgc_fp64_affine3_transform_point(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point, BGC_FP64_Vector3 * transformed_point)
inline void bgc_fp64_affine3_transform_point(BGC_FP64_Vector3* transformed_point, const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point)
{
BGC_FP64_Vector3 distorted;
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, initial_point, &distorted);
bgc_fp64_vector3_add(&affine->shift, &distorted, transformed_point);
bgc_fp64_multiply_matrix3x3_by_vector3(&distorted, &affine->distortion, initial_point);
bgc_fp64_vector3_add(transformed_point, &affine->shift, &distorted);
}
// ============== Transform Vector =============== //
inline void bgc_fp32_affine3_transform_vector(const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_vector, BGC_FP32_Vector3 * transformed_vector)
inline void bgc_fp32_affine3_transform_vector(BGC_FP32_Vector3* transformed_vector, const BGC_FP32_Affine3 * affine, const BGC_FP32_Vector3 * initial_vector)
{
bgc_fp32_multiply_matrix3x3_by_vector3(&affine->distortion, initial_vector, transformed_vector);
bgc_fp32_multiply_matrix3x3_by_vector3(transformed_vector, &affine->distortion, initial_vector);
}
inline void bgc_fp64_affine3_transform_vector(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector, BGC_FP64_Vector3 * transformed_vector)
inline void bgc_fp64_affine3_transform_vector(BGC_FP64_Vector3* transformed_vector, const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector)
{
bgc_fp64_multiply_matrix3x3_by_vector3(&affine->distortion, initial_vector, transformed_vector);
bgc_fp64_multiply_matrix3x3_by_vector3(transformed_vector, &affine->distortion, initial_vector);
}
#endif

2
basic-geometry/basic-geometry.h
View file

@ -8,7 +8,7 @@
#include "./vector2.h"
#include "./vector3.h"
#include "./matrixes.h"
#include "./matrices.h"
#include "./matrix2x2.h"
#include "./matrix2x3.h"
#include "./matrix3x2.h"

6
basic-geometry/basic-geometry.vcxproj
View file

@ -1,4 +1,4 @@
<?xml version="1.0" encoding="utf-8"?>
<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<ItemGroup Label="ProjectConfigurations">
<ProjectConfiguration Include="Debug|Win32">
@ -29,7 +29,7 @@
<ClInclude Include="matrix2x3.h" />
<ClInclude Include="matrix3x2.h" />
<ClInclude Include="matrix3x3.h" />
<ClInclude Include="matrixes.h" />
<ClInclude Include="matrices.h" />
<ClInclude Include="position2.h" />
<ClInclude Include="position3.h" />
<ClInclude Include="quaternion.h" />
@ -54,7 +54,7 @@
<ClCompile Include="matrix2x3.c" />
<ClCompile Include="matrix3x2.c" />
<ClCompile Include="matrix3x3.c" />
<ClCompile Include="matrixes.c" />
<ClCompile Include="matrices.c" />
<ClCompile Include="quaternion.c" />
<ClCompile Include="rotation3.c" />
<ClCompile Include="slerp.c" />

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

@ -57,7 +57,7 @@
<ClInclude Include="matrix3x2.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="matrixes.h">
<ClInclude Include="matrices.h">
<Filter>Файлы заголовков</Filter>
</ClInclude>
<ClInclude Include="complex.c">
@ -113,7 +113,7 @@
<ClCompile Include="quaternion.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="matrixes.c">
<ClCompile Include="matrices.c">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="matrix2x3.c">

72
basic-geometry/complex.c
View file

@ -3,8 +3,8 @@
extern inline void bgc_fp32_complex_reset(BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_reset(BGC_FP64_Complex* complex);
extern inline void bgc_fp32_complex_make(const float real, const float imaginary, BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex);
extern inline void bgc_fp32_complex_make(BGC_FP32_Complex* complex, const float real, const float imaginary);
extern inline void bgc_fp64_complex_make(BGC_FP64_Complex* complex, const double real, const double imaginary);
extern inline float bgc_fp32_complex_get_square_modulus(const BGC_FP32_Complex* number);
extern inline double bgc_fp64_complex_get_square_modulus(const BGC_FP64_Complex* number);
@ -18,75 +18,75 @@ extern inline int bgc_fp64_complex_is_zero(const BGC_FP64_Complex* number);
extern inline int bgc_fp32_complex_is_unit(const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_is_unit(const BGC_FP64_Complex* number);
extern inline void bgc_fp32_complex_copy(const BGC_FP32_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination);
extern inline void bgc_fp32_complex_copy(BGC_FP32_Complex* destination, const BGC_FP32_Complex* source);
extern inline void bgc_fp64_complex_copy(BGC_FP64_Complex* destination, const BGC_FP64_Complex* source);
extern inline void bgc_fp32_complex_swap(BGC_FP32_Complex* number1, BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_swap(BGC_FP64_Complex* number1, BGC_FP64_Complex* number2);
extern inline void bgc_fp64_complex_convert_to_fp32(const BGC_FP64_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination);
extern inline void bgc_fp64_complex_convert_to_fp32(BGC_FP32_Complex* destination, const BGC_FP64_Complex* source);
extern inline void bgc_fp32_complex_convert_to_fp64(BGC_FP64_Complex* destination, const BGC_FP32_Complex* source);
extern inline void bgc_fp32_complex_revert(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_revert(BGC_FP64_Complex* number);
extern inline void bgc_fp32_complex_get_reverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* opposite);
extern inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite);
extern inline void bgc_fp32_complex_get_reverse(BGC_FP32_Complex* reverse, const BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_get_reverse(BGC_FP64_Complex* reverse, const BGC_FP64_Complex* number);
extern inline int bgc_fp32_complex_normalize(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_normalize(BGC_FP64_Complex* number);
extern inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_FP32_Complex* normalized);
extern inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized);
extern inline int bgc_fp32_complex_get_normalized(BGC_FP32_Complex* normalized, const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_get_normalized(BGC_FP64_Complex* normalized, const BGC_FP64_Complex* number);
extern inline void bgc_fp32_complex_conjugate(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_conjugate(BGC_FP64_Complex* number);
extern inline void bgc_fp32_complex_get_conjugate(const BGC_FP32_Complex* number, BGC_FP32_Complex* conjugate);
extern inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate);
extern inline void bgc_fp32_complex_get_conjugate(BGC_FP32_Complex* conjugate, const BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_get_conjugate(BGC_FP64_Complex* conjugate, const BGC_FP64_Complex* number);
extern inline int bgc_fp32_complex_invert(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_invert(BGC_FP64_Complex* number);
extern inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* inverse);
extern inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse);
extern inline int bgc_fp32_complex_get_inverse(BGC_FP32_Complex* inverse, const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_get_inverse(BGC_FP64_Complex* inverse, const BGC_FP64_Complex* number);
extern inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product);
extern inline void bgc_fp32_complex_get_product(BGC_FP32_Complex* product, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_get_product(BGC_FP64_Complex* product, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);
extern inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor, BGC_FP32_Complex* quotient);
extern inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient);
extern inline int bgc_fp32_complex_get_ratio(BGC_FP32_Complex* quotient, const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor);
extern inline int bgc_fp64_complex_get_ratio(BGC_FP64_Complex* quotient, const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor);
extern inline void bgc_fp32_complex_add(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* sum);
extern inline void bgc_fp32_complex_add(BGC_FP32_Complex* sum, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_add(BGC_FP64_Complex* sum, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);
extern inline void bgc_fp32_complex_add_scaled(const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum);
extern 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);
extern inline void bgc_fp64_complex_add_scaled(BGC_FP64_Complex* sum, const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale);
extern inline void bgc_fp32_complex_subtract(const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend, BGC_FP32_Complex* difference);
extern inline void bgc_fp64_complex_subtract(const BGC_FP64_Complex* minuend, const BGC_FP64_Complex* subtrahend, BGC_FP64_Complex* difference);
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_multiply(const BGC_FP32_Complex* multiplicand, const float multiplier, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product);
extern inline void bgc_fp32_complex_multiply(BGC_FP32_Complex* product, const BGC_FP32_Complex* multiplicand, const float multiplier);
extern inline void bgc_fp64_complex_multiply(BGC_FP64_Complex* product, const BGC_FP64_Complex* multiplicand, const double multiplier);
extern inline void bgc_fp32_complex_divide(const BGC_FP32_Complex* dividend, const float divisor, BGC_FP32_Complex* quotient);
extern inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient);
extern inline void bgc_fp32_complex_divide(BGC_FP32_Complex* quotient, const BGC_FP32_Complex* dividend, const float divisor);
extern inline void bgc_fp64_complex_divide(BGC_FP64_Complex* quotient, const BGC_FP64_Complex* dividend, const double divisor);
extern inline void bgc_fp32_complex_get_mean2(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean);
extern inline void bgc_fp32_complex_get_mean2(BGC_FP32_Complex* mean, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_get_mean2(BGC_FP64_Complex* mean, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);
extern inline void bgc_fp32_complex_get_mean3(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean);
extern inline void bgc_fp32_complex_get_mean3(BGC_FP32_Complex* mean, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3);
extern inline void bgc_fp64_complex_get_mean3(BGC_FP64_Complex* mean, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3);
extern inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase, BGC_FP32_Complex* interpolation);
extern inline void bgc_fp64_complex_interpolate(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation);
extern inline void bgc_fp32_complex_interpolate(BGC_FP32_Complex* interpolation, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase);
extern inline void bgc_fp64_complex_interpolate(BGC_FP64_Complex* interpolation, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase);
extern inline int bgc_fp32_complex_are_close(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline int bgc_fp64_complex_are_close(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);
// =============== Get Exponation =============== //
void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent, BGC_FP32_Complex* power)
void bgc_fp32_complex_get_exponation(BGC_FP32_Complex* power, const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent)
{
const float square_modulus = bgc_fp32_complex_get_square_modulus(base);
@ -106,7 +106,7 @@ void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float r
power->imaginary = power_modulus * sinf(power_angle);
}
void bgc_fp64_complex_get_exponation(const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent, BGC_FP64_Complex* power)
void bgc_fp64_complex_get_exponation(BGC_FP64_Complex* power, const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent)
{
const double square_modulus = bgc_fp64_complex_get_square_modulus(base);

82
basic-geometry/complex.h
View file

@ -32,13 +32,13 @@ inline void bgc_fp64_complex_reset(BGC_FP64_Complex* complex)
// ==================== Set ===================== //
inline void bgc_fp32_complex_make(const float real, const float imaginary, BGC_FP32_Complex* complex)
inline void bgc_fp32_complex_make(BGC_FP32_Complex* complex, const float real, const float imaginary)
{
complex->real = real;
complex->imaginary = imaginary;
}
inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex)
inline void bgc_fp64_complex_make(BGC_FP64_Complex* complex, const double real, const double imaginary)
{
complex->real = real;
complex->imaginary = imaginary;
@ -90,13 +90,13 @@ inline int bgc_fp64_complex_is_unit(const BGC_FP64_Complex* number)
// ==================== Copy ==================== //
inline void bgc_fp32_complex_copy(const BGC_FP32_Complex* source, BGC_FP32_Complex* destination)
inline void bgc_fp32_complex_copy(BGC_FP32_Complex* destination, const BGC_FP32_Complex* source)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
}
inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination)
inline void bgc_fp64_complex_copy(BGC_FP64_Complex* destination, const BGC_FP64_Complex* source)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
@ -130,13 +130,13 @@ inline void bgc_fp64_complex_swap(BGC_FP64_Complex* number1, BGC_FP64_Complex* n
// ================== Convert =================== //
inline void bgc_fp64_complex_convert_to_fp32(const BGC_FP64_Complex* source, BGC_FP32_Complex* destination)
inline void bgc_fp64_complex_convert_to_fp32(BGC_FP32_Complex* destination, const BGC_FP64_Complex* source)
{
destination->real = (float)source->real;
destination->imaginary = (float)source->imaginary;
}
inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination)
inline void bgc_fp32_complex_convert_to_fp64(BGC_FP64_Complex* destination, const BGC_FP32_Complex* source)
{
destination->real = source->real;
destination->imaginary = source->imaginary;
@ -156,16 +156,16 @@ inline void bgc_fp64_complex_revert(BGC_FP64_Complex* number)
number->imaginary = -number->imaginary;
}
inline void bgc_fp32_complex_get_reverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* opposite)
inline void bgc_fp32_complex_get_reverse(BGC_FP32_Complex* reverse, const BGC_FP32_Complex* number)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
reverse->real = -number->real;
reverse->imaginary = -number->imaginary;
}
inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite)
inline void bgc_fp64_complex_get_reverse(BGC_FP64_Complex* reverse, const BGC_FP64_Complex* number)
{
opposite->real = -number->real;
opposite->imaginary = -number->imaginary;
reverse->real = -number->real;
reverse->imaginary = -number->imaginary;
}
// ================= Normalize ================== //
@ -210,7 +210,7 @@ inline int bgc_fp64_complex_normalize(BGC_FP64_Complex* number)
return 1;
}
inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_FP32_Complex* normalized)
inline int bgc_fp32_complex_get_normalized(BGC_FP32_Complex* normalized, const BGC_FP32_Complex* number)
{
const float square_modulus = bgc_fp32_complex_get_square_modulus(number);
@ -234,7 +234,7 @@ inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_F
return 1;
}
inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized)
inline int bgc_fp64_complex_get_normalized(BGC_FP64_Complex* normalized, const BGC_FP64_Complex* number)
{
const double square_modulus = bgc_fp64_complex_get_square_modulus(number);
@ -270,13 +270,13 @@ inline void bgc_fp64_complex_conjugate(BGC_FP64_Complex* number)
number->imaginary = -number->imaginary;
}
inline void bgc_fp32_complex_get_conjugate(const BGC_FP32_Complex* number, BGC_FP32_Complex* conjugate)
inline void bgc_fp32_complex_get_conjugate(BGC_FP32_Complex* conjugate, const BGC_FP32_Complex* number)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
}
inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate)
inline void bgc_fp64_complex_get_conjugate(BGC_FP64_Complex* conjugate, const BGC_FP64_Complex* number)
{
conjugate->real = number->real;
conjugate->imaginary = -number->imaginary;
@ -284,7 +284,7 @@ inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_F
// =================== Invert =================== //
inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* inverse)
inline int bgc_fp32_complex_get_inverse(BGC_FP32_Complex* inverse, const BGC_FP32_Complex* number)
{
const float square_modulus = bgc_fp32_complex_get_square_modulus(number);
@ -300,7 +300,7 @@ inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32
return 1;
}
inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse)
inline int bgc_fp64_complex_get_inverse(BGC_FP64_Complex* inverse, const BGC_FP64_Complex* number)
{
const double square_modulus = bgc_fp64_complex_get_square_modulus(number);
@ -328,19 +328,19 @@ inline int bgc_fp64_complex_invert(BGC_FP64_Complex* number)
// =============== Get Exponation =============== //
void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent, BGC_FP32_Complex* power);
void bgc_fp32_complex_get_exponation(BGC_FP32_Complex* power, const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent);
void bgc_fp64_complex_get_exponation(const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent, BGC_FP64_Complex* power);
void bgc_fp64_complex_get_exponation(BGC_FP64_Complex* power, const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent);
// ==================== Add ===================== //
inline void bgc_fp32_complex_add(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* sum)
inline void bgc_fp32_complex_add(BGC_FP32_Complex* sum, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2)
{
sum->real = number1->real + number2->real;
sum->imaginary = number1->imaginary + number2->imaginary;
}
inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* sum)
inline void bgc_fp64_complex_add(BGC_FP64_Complex* sum, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2)
{
sum->real = number1->real + number2->real;
sum->imaginary = number1->imaginary + number2->imaginary;
@ -348,13 +348,13 @@ inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64
// ================= Add scaled ================= //
inline void bgc_fp32_complex_add_scaled(const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale, BGC_FP32_Complex* sum)
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)
{
sum->real = basic_number->real + scalable_number->real * scale;
sum->imaginary = basic_number->imaginary + scalable_number->imaginary * scale;
}
inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum)
inline void bgc_fp64_complex_add_scaled(BGC_FP64_Complex* sum, const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale)
{
sum->real = basic_number->real + scalable_number->real * scale;
sum->imaginary = basic_number->imaginary + scalable_number->imaginary * scale;
@ -362,7 +362,7 @@ inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, co
// ================== Subtract ================== //
inline void bgc_fp32_complex_subtract(const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend, BGC_FP32_Complex* difference)
inline void bgc_fp32_complex_subtract(BGC_FP32_Complex* difference, const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend)
{
difference->real = minuend->real - subtrahend->real;
difference->imaginary = minuend->imaginary - subtrahend->imaginary;
@ -376,7 +376,7 @@ inline void bgc_fp64_complex_subtract(const BGC_FP64_Complex* minuend, const BGC
// ================== Multiply ================== //
inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* product)
inline void bgc_fp32_complex_get_product(BGC_FP32_Complex* product, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2)
{
const float real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const float imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
@ -385,7 +385,7 @@ inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const
product->imaginary = imaginary;
}
inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product)
inline void bgc_fp64_complex_get_product(BGC_FP64_Complex* product, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2)
{
const double real = number1->real * number2->real - number1->imaginary * number2->imaginary;
const double imaginary = number1->real * number2->imaginary + number1->imaginary * number2->real;
@ -396,13 +396,13 @@ inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const
// ============= Multiply By Number ============= //
inline void bgc_fp32_complex_multiply(const BGC_FP32_Complex* multiplicand, const float multiplier, BGC_FP32_Complex* product)
inline void bgc_fp32_complex_multiply(BGC_FP32_Complex* product, const BGC_FP32_Complex* multiplicand, const float multiplier)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
}
inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product)
inline void bgc_fp64_complex_multiply(BGC_FP64_Complex* product, const BGC_FP64_Complex* multiplicand, const double multiplier)
{
product->real = multiplicand->real * multiplier;
product->imaginary = multiplicand->imaginary * multiplier;
@ -410,7 +410,7 @@ inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, cons
// =================== Divide =================== //
inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor, BGC_FP32_Complex* quotient)
inline int bgc_fp32_complex_get_ratio(BGC_FP32_Complex* quotient, const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor)
{
const float square_modulus = bgc_fp32_complex_get_square_modulus(divisor);
@ -429,7 +429,7 @@ inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BG
return 1;
}
inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient)
inline int bgc_fp64_complex_get_ratio(BGC_FP64_Complex* quotient, const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor)
{
const double square_modulus = bgc_fp64_complex_get_square_modulus(divisor);
@ -450,25 +450,25 @@ inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BG
// ============== Divide By Number ============== //
inline void bgc_fp32_complex_divide(const BGC_FP32_Complex* dividend, const float divisor, BGC_FP32_Complex* quotient)
inline void bgc_fp32_complex_divide(BGC_FP32_Complex* quotient, const BGC_FP32_Complex* dividend, const float divisor)
{
bgc_fp32_complex_multiply(dividend, 1.0f / divisor, quotient);
bgc_fp32_complex_multiply(quotient, dividend, 1.0f / divisor);
}
inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient)
inline void bgc_fp64_complex_divide(BGC_FP64_Complex* quotient, const BGC_FP64_Complex* dividend, const double divisor)
{
bgc_fp64_complex_multiply(dividend, 1.0 / divisor, quotient);
bgc_fp64_complex_multiply(quotient, dividend, 1.0 / divisor);
}
// ================== Average2 ================== //
inline void bgc_fp32_complex_get_mean2(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* mean)
inline void bgc_fp32_complex_get_mean2(BGC_FP32_Complex* mean, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2)
{
mean->real = (number1->real + number2->real) * 0.5f;
mean->imaginary = (number1->imaginary + number2->imaginary) * 0.5f;
}
inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean)
inline void bgc_fp64_complex_get_mean2(BGC_FP64_Complex* mean, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2)
{
mean->real = (number1->real + number2->real) * 0.5;
mean->imaginary = (number1->imaginary + number2->imaginary) * 0.5;
@ -476,13 +476,13 @@ inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BG
// ================== Average3 ================== //
inline void bgc_fp32_complex_get_mean3(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3, BGC_FP32_Complex* mean)
inline void bgc_fp32_complex_get_mean3(BGC_FP32_Complex* mean, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3)
{
mean->real = (number1->real + number2->real + number3->real) * BGC_FP32_ONE_THIRD;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_FP32_ONE_THIRD;
}
inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean)
inline void bgc_fp64_complex_get_mean3(BGC_FP64_Complex* mean, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3)
{
mean->real = (number1->real + number2->real + number3->real) * BGC_FP64_ONE_THIRD;
mean->imaginary = (number1->imaginary + number2->imaginary + number3->imaginary) * BGC_FP64_ONE_THIRD;
@ -490,7 +490,7 @@ inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BG
// =================== Linear =================== //
inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase, BGC_FP32_Complex* interpolation)
inline void bgc_fp32_complex_interpolate(BGC_FP32_Complex* interpolation, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase)
{
const float counter_phase = 1.0f - phase;
@ -498,7 +498,7 @@ inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const
interpolation->imaginary = number1->imaginary * counter_phase + number2->imaginary * phase;
}
inline void bgc_fp64_complex_interpolate(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation)
inline void bgc_fp64_complex_interpolate(BGC_FP64_Complex* interpolation, const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase)
{
const double counter_phase = 1.0 - phase;

48
basic-geometry/cotes-number.c
View file

@ -7,11 +7,11 @@ const BGC_FP64_CotesNumber BGC_FP64_IDLE_COTES_NUMBER = { 1.0, 0.0 };
extern inline void bgc_fp32_cotes_number_reset(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_reset(BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_make(BGC_FP32_CotesNumber* number, const float x1, const float x2);
extern inline void bgc_fp64_cotes_number_make(BGC_FP64_CotesNumber* number, const double x1, const double x2);
extern inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int angle_unit, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make_for_angle(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_make_for_angle(BGC_FP32_CotesNumber* number, const float angle, const int angle_unit);
extern inline void bgc_fp64_cotes_number_make_for_angle(BGC_FP64_CotesNumber* number, const double angle, const int angle_unit);
extern inline int bgc_fp32_cotes_number_is_idle(const BGC_FP32_CotesNumber* number);
extern inline int bgc_fp64_cotes_number_is_idle(const BGC_FP64_CotesNumber* number);
@ -19,41 +19,41 @@ extern inline int bgc_fp64_cotes_number_is_idle(const BGC_FP64_CotesNumber* numb
extern inline float bgc_fp32_cotes_number_get_angle(const BGC_FP32_CotesNumber* number, const int angle_unit);
extern inline double bgc_fp64_cotes_number_get_angle(const BGC_FP64_CotesNumber* number, const int angle_unit);
extern inline void bgc_fp32_cotes_number_copy(const BGC_FP32_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination);
extern inline void bgc_fp32_cotes_number_copy(BGC_FP32_CotesNumber* destination, const BGC_FP32_CotesNumber* source);
extern inline void bgc_fp64_cotes_number_copy(BGC_FP64_CotesNumber* destination, const BGC_FP64_CotesNumber* source);
extern inline void bgc_fp32_cotes_number_swap(BGC_FP32_CotesNumber* number1, BGC_FP32_CotesNumber* number2);
extern inline void bgc_fp64_cotes_number_swap(BGC_FP64_CotesNumber* number1, BGC_FP64_CotesNumber* number2);
extern inline void bgc_fp64_cotes_number_convert_to_fp32(const BGC_FP64_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp32_cotes_number_convert_to_fp64(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination);
extern inline void bgc_fp64_cotes_number_convert_to_fp32(BGC_FP32_CotesNumber* destination, const BGC_FP64_CotesNumber* source);
extern inline void bgc_fp32_cotes_number_convert_to_fp64(BGC_FP64_CotesNumber* destination, const BGC_FP32_CotesNumber* source);
extern inline void bgc_fp32_cotes_number_revert(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_revert(BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_get_reverse(const BGC_FP32_CotesNumber* number, BGC_FP32_CotesNumber* inverse);
extern inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse);
extern inline void bgc_fp32_cotes_number_get_reverse(BGC_FP32_CotesNumber* reverse, const BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_get_reverse(BGC_FP64_CotesNumber* reverse, const BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* base, const float exponent, BGC_FP32_CotesNumber* power);
extern inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power);
extern inline void bgc_fp32_cotes_number_get_exponation(BGC_FP32_CotesNumber* power, const BGC_FP32_CotesNumber* base, const float exponent);
extern inline void bgc_fp64_cotes_number_get_exponation(BGC_FP64_CotesNumber* power, const BGC_FP64_CotesNumber* base, const double exponent);
extern inline void bgc_fp32_cotes_number_combine(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2, BGC_FP32_CotesNumber* result);
extern inline void bgc_fp64_cotes_number_combine(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result);
extern inline void bgc_fp32_cotes_number_combine(BGC_FP32_CotesNumber* combination, const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2);
extern inline void bgc_fp64_cotes_number_combine(BGC_FP64_CotesNumber* combination, const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2);
extern inline void bgc_fp32_cotes_number_exclude(const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant, BGC_FP32_CotesNumber* difference);
extern inline void bgc_fp64_cotes_number_exclude(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference);
extern inline void bgc_fp32_cotes_number_exclude(BGC_FP32_CotesNumber* difference, const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant);
extern inline void bgc_fp64_cotes_number_exclude(BGC_FP64_CotesNumber* difference, const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant);
extern inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_cotes_number_get_rotation_matrix(BGC_FP32_Matrix2x2* matrix, const BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_get_rotation_matrix(BGC_FP64_Matrix2x2* matrix, const BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_cotes_number_get_reverse_matrix(BGC_FP32_Matrix2x2* matrix, const BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_get_reverse_matrix(BGC_FP64_Matrix2x2* matrix, const BGC_FP64_CotesNumber* number);
extern inline void bgc_fp32_cotes_number_turn_vector(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
extern inline void bgc_fp32_cotes_number_turn_vector(BGC_FP32_Vector2* turned_vector, const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_cotes_number_turn_vector(BGC_FP64_Vector2* turned_vector, const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector);
extern inline void bgc_fp32_cotes_number_turn_vector_back(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector_back(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
extern inline void bgc_fp32_cotes_number_turn_vector_back(BGC_FP32_Vector2* turned_vector, const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_cotes_number_turn_vector_back(BGC_FP64_Vector2* turned_vector, const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector);
extern inline int bgc_fp32_cotes_number_are_close(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2);
extern inline int bgc_fp64_cotes_number_are_close(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2);

92
basic-geometry/cotes-number.h
View file

@ -41,7 +41,7 @@ inline void bgc_fp64_cotes_number_reset(BGC_FP64_CotesNumber* number)
// ================== Set Turn ================== //
inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int angle_unit, BGC_FP32_CotesNumber* number)
inline void bgc_fp32_cotes_number_make_for_angle(BGC_FP32_CotesNumber* number, const float angle, const int angle_unit)
{
const float radians = bgc_fp32_angle_to_radians(angle, angle_unit);
@ -49,7 +49,7 @@ inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int an
number->_sin = sinf(radians);
}
inline void bgc_fp64_cotes_number_make_for_angle(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number)
inline void bgc_fp64_cotes_number_make_for_angle(BGC_FP64_CotesNumber* number, const double angle, const int angle_unit)
{
const double radians = bgc_fp64_angle_to_radians(angle, angle_unit);
@ -76,7 +76,7 @@ void _bgc_fp32_cotes_number_normalize(BGC_FP32_CotesNumber* twin);
void _bgc_fp64_cotes_number_normalize(BGC_FP64_CotesNumber* twin);
inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_CotesNumber* number)
inline void bgc_fp32_cotes_number_make(BGC_FP32_CotesNumber* number, const float x1, const float x2)
{
const float square_modulus = x1 * x1 + x2 * x2;
@ -88,7 +88,7 @@ inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_
}
}
inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number)
inline void bgc_fp64_cotes_number_make(BGC_FP64_CotesNumber* number, const double x1, const double x2)
{
const double square_modulus = x1 * x1 + x2 * x2;
@ -114,13 +114,13 @@ inline double bgc_fp64_cotes_number_get_angle(const BGC_FP64_CotesNumber* number
// ==================== Copy ==================== //
inline void bgc_fp32_cotes_number_copy(const BGC_FP32_CotesNumber* source, BGC_FP32_CotesNumber* destination)
inline void bgc_fp32_cotes_number_copy(BGC_FP32_CotesNumber* destination, const BGC_FP32_CotesNumber* source)
{
destination->_cos = source->_cos;
destination->_sin = source->_sin;
}
inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination)
inline void bgc_fp64_cotes_number_copy(BGC_FP64_CotesNumber* destination, const BGC_FP64_CotesNumber* source)
{
destination->_cos = source->_cos;
destination->_sin = source->_sin;
@ -154,14 +154,14 @@ inline void bgc_fp64_cotes_number_swap(BGC_FP64_CotesNumber* number1, BGC_FP64_C
// ================== Convert =================== //
inline void bgc_fp64_cotes_number_convert_to_fp32(const BGC_FP64_CotesNumber* source, BGC_FP32_CotesNumber* destination)
inline void bgc_fp64_cotes_number_convert_to_fp32(BGC_FP32_CotesNumber* destination, const BGC_FP64_CotesNumber* source)
{
bgc_fp32_cotes_number_make((float)source->_cos, (float)source->_sin, destination);
bgc_fp32_cotes_number_make(destination, (float)source->_cos, (float)source->_sin);
}
inline void bgc_fp32_cotes_number_convert_to_fp64(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination)
inline void bgc_fp32_cotes_number_convert_to_fp64(BGC_FP64_CotesNumber* destination, const BGC_FP32_CotesNumber* source)
{
bgc_fp64_cotes_number_make((double)source->_cos, (double)source->_sin, destination);
bgc_fp64_cotes_number_make(destination, (double)source->_cos, (double)source->_sin);
}
// =================== Revert =================== //
@ -176,21 +176,21 @@ inline void bgc_fp64_cotes_number_revert(BGC_FP64_CotesNumber* number)
number->_sin = -number->_sin;
}
inline void bgc_fp32_cotes_number_get_reverse(const BGC_FP32_CotesNumber* number, BGC_FP32_CotesNumber* inverse)
inline void bgc_fp32_cotes_number_get_reverse(BGC_FP32_CotesNumber* reverse, const BGC_FP32_CotesNumber* number)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
reverse->_cos = number->_cos;
reverse->_sin = -number->_sin;
}
inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse)
inline void bgc_fp64_cotes_number_get_reverse(BGC_FP64_CotesNumber* reverse, const BGC_FP64_CotesNumber* number)
{
inverse->_cos = number->_cos;
inverse->_sin = -number->_sin;
reverse->_cos = number->_cos;
reverse->_sin = -number->_sin;
}
// ================= Exponation ================= //
inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* base, const float exponent, BGC_FP32_CotesNumber* power)
inline void bgc_fp32_cotes_number_get_exponation(BGC_FP32_CotesNumber* power, const BGC_FP32_CotesNumber* base, const float exponent)
{
const float power_angle = exponent * atan2f(base->_sin, base->_cos);
@ -198,7 +198,7 @@ inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* bas
power->_sin = sinf(power_angle);
}
inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power)
inline void bgc_fp64_cotes_number_get_exponation(BGC_FP64_CotesNumber* power, const BGC_FP64_CotesNumber* base, const double exponent)
{
const double power_angle = exponent * atan2(base->_sin, base->_cos);
@ -208,47 +208,47 @@ inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* bas
// ================ Combination ================= //
inline void bgc_fp32_cotes_number_combine(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2, BGC_FP32_CotesNumber* result)
inline void bgc_fp32_cotes_number_combine(BGC_FP32_CotesNumber* combination, const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2)
{
bgc_fp32_cotes_number_make(
combination,
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
number1->_cos * number2->_sin + number1->_sin * number2->_cos
);
}
inline void bgc_fp64_cotes_number_combine(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result)
inline void bgc_fp64_cotes_number_combine(BGC_FP64_CotesNumber* combination, const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2)
{
bgc_fp64_cotes_number_make(
combination,
number1->_cos * number2->_cos - number1->_sin * number2->_sin,
number1->_cos * number2->_sin + number1->_sin * number2->_cos,
result
number1->_cos * number2->_sin + number1->_sin * number2->_cos
);
}
// ================= Exclusion ================== //
inline void bgc_fp32_cotes_number_exclude(const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant, BGC_FP32_CotesNumber* difference)
inline void bgc_fp32_cotes_number_exclude(BGC_FP32_CotesNumber* difference, const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant)
{
bgc_fp32_cotes_number_make(
difference,
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
base->_sin * excludant->_cos - base->_cos * excludant->_sin
);
}
inline void bgc_fp64_cotes_number_exclude(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference)
inline void bgc_fp64_cotes_number_exclude(BGC_FP64_CotesNumber* difference, const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant)
{
bgc_fp64_cotes_number_make(
difference,
base->_cos * excludant->_cos + base->_sin * excludant->_sin,
base->_sin * excludant->_cos - base->_cos * excludant->_sin,
difference
base->_sin * excludant->_cos - base->_cos * excludant->_sin
);
}
// ============== Rotation Matrix =============== //
inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix)
inline void bgc_fp32_cotes_number_get_rotation_matrix(BGC_FP32_Matrix2x2* matrix, const BGC_FP32_CotesNumber* number)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
@ -256,7 +256,7 @@ inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber
matrix->r2c2 = number->_cos;
}
inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix)
inline void bgc_fp64_cotes_number_get_rotation_matrix(BGC_FP64_Matrix2x2* matrix, const BGC_FP64_CotesNumber* number)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = -number->_sin;
@ -266,7 +266,7 @@ inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber
// ============== Reverse Matrix ================ //
inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix)
inline void bgc_fp32_cotes_number_get_reverse_matrix(BGC_FP32_Matrix2x2* matrix, const BGC_FP32_CotesNumber* number)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
@ -274,7 +274,7 @@ inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber*
matrix->r2c2 = number->_cos;
}
inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix)
inline void bgc_fp64_cotes_number_get_reverse_matrix(BGC_FP64_Matrix2x2* matrix, const BGC_FP64_CotesNumber* number)
{
matrix->r1c1 = number->_cos;
matrix->r1c2 = number->_sin;
@ -284,42 +284,42 @@ inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber*
// ================ Turn Vector ================= //
inline void bgc_fp32_cotes_number_turn_vector(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result)
inline void bgc_fp32_cotes_number_turn_vector(BGC_FP32_Vector2* turned_vector, const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector)
{
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;
turned_vector->x1 = x1;
turned_vector->x2 = x2;
}
inline void bgc_fp64_cotes_number_turn_vector(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result)
inline void bgc_fp64_cotes_number_turn_vector(BGC_FP64_Vector2* turned_vector, const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector)
{
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;
turned_vector->x1 = x1;
turned_vector->x2 = x2;
}
// ============ Turn Vector Backward ============ //
inline void bgc_fp32_cotes_number_turn_vector_back(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result)
inline void bgc_fp32_cotes_number_turn_vector_back(BGC_FP32_Vector2* turned_vector, const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector)
{
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;
turned_vector->x1 = x1;
turned_vector->x2 = x2;
}
inline void bgc_fp64_cotes_number_turn_vector_back(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result)
inline void bgc_fp64_cotes_number_turn_vector_back(BGC_FP64_Vector2* turned_vector, const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector)
{
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;
turned_vector->x1 = x1;
turned_vector->x2 = x2;
}
// ================== Are Close ================= //

25
basic-geometry/matrices.c Normal file
View file

@ -0,0 +1,25 @@
#include "matrices.h"
extern inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2);
extern inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2);
extern inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix3x2* matrix2);
extern inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix3x2* matrix2);
extern inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x2* matrix2);
extern inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x2* matrix2);
extern inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix3x2* matrix2);
extern inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix3x2* matrix2);
extern inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix2x3* matrix2);
extern inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix2x3* matrix2);
extern inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x3* matrix2);
extern inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x3* matrix2);
extern inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix2x3* matrix2);
extern inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix2x3* matrix2);
extern inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2);
extern inline void bgc_fp64_multiply_matrix3x3_by_matrix3x3(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2);

36
basic-geometry/matrixes.h → basic-geometry/matrices.h
View file

@ -1,5 +1,5 @@
#ifndef _BGC_MATRIX_TYPES_H_
#define _BGC_MATRIX_TYPES_H_
#ifndef _BGC_MATRICES_H_
#define _BGC_MATRICES_H_
// ================== Matrix2x2 ================= //
@ -55,7 +55,7 @@ typedef struct {
// ========== Matrix Product 2x2 at 2x2 ========= //
inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* product)
inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -70,7 +70,7 @@ inline void bgc_fp32_multiply_matrix2x2_by_matrix2x2(const BGC_FP32_Matrix2x2* m
product->r2c2 = r2c2;
}
inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* product)
inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -87,7 +87,7 @@ inline void bgc_fp64_multiply_matrix2x2_by_matrix2x2(const BGC_FP64_Matrix2x2* m
// ========== Matrix Product 2x2 at 3x2 ========= //
inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* product)
inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix3x2* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -106,7 +106,7 @@ inline void bgc_fp32_multiply_matrix2x2_by_matrix3x2(const BGC_FP32_Matrix2x2* m
product->r2c3 = r2c3;
}
inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* product)
inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix3x2* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -127,7 +127,7 @@ inline void bgc_fp64_multiply_matrix2x2_by_matrix3x2(const BGC_FP64_Matrix2x2* m
// ========== Matrix Product 2x3 at 2x2 ========= //
inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x3* product)
inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x2* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -148,7 +148,7 @@ inline void bgc_fp32_multiply_matrix2x3_by_matrix2x2(const BGC_FP32_Matrix2x3* m
product->r3c2 = r3c2;
}
inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x3* product)
inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x2* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -171,7 +171,7 @@ inline void bgc_fp64_multiply_matrix2x3_by_matrix2x2(const BGC_FP64_Matrix2x3* m
// ========== Matrix Product 2x3 at 3x2 ========= //
inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x3* product)
inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix3x2* matrix2)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -186,7 +186,7 @@ inline void bgc_fp32_multiply_matrix2x3_by_matrix3x2(const BGC_FP32_Matrix2x3* m
product->r3c3 = matrix1->r3c1 * matrix2->r1c3 + matrix1->r3c2 * matrix2->r2c3;
}
inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x3* product)
inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix3x2* matrix2)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;
@ -203,7 +203,7 @@ inline void bgc_fp64_multiply_matrix2x3_by_matrix3x2(const BGC_FP64_Matrix2x3* m
// ========== Matrix Product 3x2 at 2x3 ========= //
inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x2* product)
inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix2x3* matrix2)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -212,7 +212,7 @@ inline void bgc_fp32_multiply_matrix3x2_by_matrix2x3(const BGC_FP32_Matrix3x2* m
product->r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2 + matrix1->r2c3 * matrix2->r3c2;
}
inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x2* product)
inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix2x3* matrix2)
{
product->r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
product->r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -223,7 +223,7 @@ inline void bgc_fp64_multiply_matrix3x2_by_matrix2x3(const BGC_FP64_Matrix3x2* m
// ========== Matrix Product 3x2 at 3x3 ========= //
inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x2* product)
inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x3* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -242,7 +242,7 @@ inline void bgc_fp32_multiply_matrix3x2_by_matrix3x3(const BGC_FP32_Matrix3x2* m
product->r2c3 = r2c3;
}
inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x2* product)
inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x3* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -263,7 +263,7 @@ inline void bgc_fp64_multiply_matrix3x2_by_matrix3x3(const BGC_FP64_Matrix3x2* m
// ========== Matrix Product 3x3 at 2x3 ========= //
inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* product)
inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix2x3* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -284,7 +284,7 @@ inline void bgc_fp32_multiply_matrix3x3_by_matrix2x3(const BGC_FP32_Matrix3x3* m
product->r3c2 = r3c2;
}
inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* product)
inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix2x3* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -307,7 +307,7 @@ inline void bgc_fp64_multiply_matrix3x3_by_matrix2x3(const BGC_FP64_Matrix3x3* m
// ========== Matrix Product 3x3 at 3x3 ========= //
inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* product)
inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2)
{
const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;
@ -334,7 +334,7 @@ inline void bgc_fp32_multiply_matrix3x3_by_matrix3x3(const BGC_FP32_Matrix3x3* m
product->r3c3 = r3c3;
}
inline void bgc_fp64_multiply_matrix3x3_by_matrix3x3(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* product)
inline void bgc_fp64_multiply_matrix3x3_by_matrix3x3(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2)
{
const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1 + matrix1->r1c3 * matrix2->r3c1;
const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2 + matrix1->r1c3 * matrix2->r3c2;

72
basic-geometry/matrix2x2.c
View file

@ -6,11 +6,11 @@ extern inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_make_identity(BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_make_diagonal(const float d1, const float d2, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_make_diagonal(BGC_FP32_Matrix2x2* matrix, const float d1, const float d2);
extern inline void bgc_fp64_matrix2x2_make_diagonal(BGC_FP64_Matrix2x2* matrix, const double d1, const double d2);
extern inline void bgc_fp32_matrix2x2_make_for_turn(const float angle, const int angle_unit, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_make_for_turn(const double angle, const int angle_unit, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_make_for_turn(BGC_FP32_Matrix2x2* matrix, const float angle, const int angle_unit);
extern inline void bgc_fp64_matrix2x2_make_for_turn(BGC_FP64_Matrix2x2* matrix, const double angle, const int angle_unit);
extern inline float bgc_fp32_matrix2x2_get_determinant(const BGC_FP32_Matrix2x2* matrix);
extern inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* matrix);
@ -24,17 +24,17 @@ extern inline int bgc_fp64_matrix2x2_is_singular(const BGC_FP64_Matrix2x2* matri
extern inline int bgc_fp32_matrix2x2_is_rotation(const BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_copy(const BGC_FP32_Matrix2x2* source, BGC_FP32_Matrix2x2* destination);
extern inline void bgc_fp64_matrix2x2_copy(const BGC_FP64_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
extern inline void bgc_fp32_matrix2x2_copy(BGC_FP32_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source);
extern inline void bgc_fp64_matrix2x2_copy(BGC_FP64_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source);
extern inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* matrix1, BGC_FP32_Matrix2x2* matrix2);
extern inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* matrix1, BGC_FP64_Matrix2x2* matrix2);
extern inline void bgc_fp64_matrix2x2_convert_to_fp32(const BGC_FP64_Matrix2x2* source, BGC_FP32_Matrix2x2* destination);
extern inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
extern inline void bgc_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source);
extern inline void bgc_fp32_matrix2x2_convert_to_fp64(BGC_FP64_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source);
extern inline int bgc_fp32_matrix2x2_get_inverse(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* inverse);
extern inline int bgc_fp64_matrix2x2_get_inverse(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* inverse);
extern inline int bgc_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* inverse, const BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_get_inverse(BGC_FP64_Matrix2x2* inverse, const BGC_FP64_Matrix2x2* matrix);
extern inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* matrix);
extern inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* matrix);
@ -42,41 +42,41 @@ extern inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_transpose(BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_get_transposed(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* transposed);
extern inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* transposed);
extern inline void bgc_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* transposed, const BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_get_transposed(BGC_FP64_Matrix2x2* transposed, const BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_get_row(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* row);
extern inline void bgc_fp64_matrix2x2_get_row(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* row);
extern inline void bgc_fp32_matrix2x2_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x2* matrix, const int row_number);
extern inline void bgc_fp64_matrix2x2_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x2* matrix, const int row_number);
extern inline void bgc_fp32_matrix2x2_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_set_row(BGC_FP32_Matrix2x2* matrix, const int row_number, const BGC_FP32_Vector2* row);
extern inline void bgc_fp64_matrix2x2_set_row(BGC_FP64_Matrix2x2* matrix, const int row_number, const BGC_FP64_Vector2* row);
extern inline void bgc_fp32_matrix2x2_get_column(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* column);
extern inline void bgc_fp64_matrix2x2_get_column(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* column);
extern inline void bgc_fp32_matrix2x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix2x2* matrix, const int column_number);
extern inline void bgc_fp64_matrix2x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix2x2* matrix, const int column_number);
extern inline void bgc_fp32_matrix2x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_matrix2x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix2x2* matrix);
extern inline void bgc_fp32_matrix2x2_set_column(BGC_FP32_Matrix2x2* matrix, const int column_number, const BGC_FP32_Vector2* column);
extern inline void bgc_fp64_matrix2x2_set_column(BGC_FP64_Matrix2x2* matrix, const int column_number, const BGC_FP64_Vector2* column);
extern inline void bgc_fp32_matrix2x2_add(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* sum);
extern inline void bgc_fp64_matrix2x2_add(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* sum);
extern inline void bgc_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2);
extern inline void bgc_fp64_matrix2x2_add(BGC_FP64_Matrix2x2* sum, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2);
extern inline void bgc_fp32_matrix2x2_add_scaled(const BGC_FP32_Matrix2x2* basic_matrix, const BGC_FP32_Matrix2x2* scalable_matrix, const float scale, BGC_FP32_Matrix2x2* sum);
extern inline void bgc_fp64_matrix2x2_add_scaled(const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale, BGC_FP64_Matrix2x2* sum);
extern inline void bgc_fp32_matrix2x2_add_scaled(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* basic_matrix, const BGC_FP32_Matrix2x2* scalable_matrix, const float scale);
extern inline void bgc_fp64_matrix2x2_add_scaled(BGC_FP64_Matrix2x2* sum, const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale);
extern inline void bgc_fp32_matrix2x2_subtract(const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend, BGC_FP32_Matrix2x2* difference);
extern inline void bgc_fp64_matrix2x2_subtract(const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend, BGC_FP64_Matrix2x2* difference);
extern inline void bgc_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* difference, const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend);
extern inline void bgc_fp64_matrix2x2_subtract(BGC_FP64_Matrix2x2* difference, const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend);
extern inline void bgc_fp32_matrix2x2_multiply(const BGC_FP32_Matrix2x2* multiplicand, const float multiplier, BGC_FP32_Matrix2x2* product);
extern inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand, const double multiplier, BGC_FP64_Matrix2x2* product);
extern inline void bgc_fp32_matrix2x2_multiply(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* multiplicand, const float multiplier);
extern inline void bgc_fp64_matrix2x2_multiply(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix2x2* multiplicand, const double multiplier);
extern inline void bgc_fp32_matrix2x2_divide(const BGC_FP32_Matrix2x2* dividend, const float divisor, BGC_FP32_Matrix2x2* quotient);
extern inline void bgc_fp64_matrix2x2_divide(const BGC_FP64_Matrix2x2* dividend, const double divisor, BGC_FP64_Matrix2x2* quotient);
extern inline void bgc_fp32_matrix2x2_divide(BGC_FP32_Matrix2x2* quotient, const BGC_FP32_Matrix2x2* dividend, const float divisor);
extern inline void bgc_fp64_matrix2x2_divide(BGC_FP64_Matrix2x2* quotient, const BGC_FP64_Matrix2x2* dividend, const double divisor);
extern inline void bgc_fp32_matrix2x2_interpolate(const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase, BGC_FP32_Matrix2x2* interpolation);
extern inline void bgc_fp64_matrix2x2_interpolate(const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase, BGC_FP64_Matrix2x2* interpolation);
extern inline void bgc_fp32_matrix2x2_interpolate(BGC_FP32_Matrix2x2* interpolation, const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase);
extern inline void bgc_fp64_matrix2x2_interpolate(BGC_FP64_Matrix2x2* interpolation, const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase);
extern inline void bgc_fp32_multiply_matrix2x2_by_vector2(const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_matrix2x2_by_vector2(const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* product);
extern inline void bgc_fp32_multiply_matrix2x2_by_vector2(BGC_FP32_Vector2* product, const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_multiply_matrix2x2_by_vector2(BGC_FP64_Vector2* product, const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector);
extern inline void bgc_fp32_multiply_vector2_by_matrix2x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* product);
extern inline void bgc_fp64_multiply_vector2_by_matrix2x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* product);
extern inline void bgc_fp32_multiply_vector2_by_matrix2x2(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_multiply_vector2_by_matrix2x2(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix);

110
basic-geometry/matrix2x2.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

 @ -3,7 +3,7 @@
#include "angle.h"
#include "vector2.h"