diff --git a/basic-geometry-dev/basic-geometry-dev.cbp b/basic-geometry-dev/basic-geometry-dev.cbp
index 408dee4..0e7489f 100644
--- a/basic-geometry-dev/basic-geometry-dev.cbp
+++ b/basic-geometry-dev/basic-geometry-dev.cbp
@@ -49,6 +49,14 @@
+
+
+
+
+
+
+
+
diff --git a/basic-geometry-dev/main.c b/basic-geometry-dev/main.c
index e22fc9a..c3c1035 100644
--- a/basic-geometry-dev/main.c
+++ b/basic-geometry-dev/main.c
@@ -9,6 +9,8 @@
#include
#endif // _WINDOWS_
+#include "vector3_pair_difference.h"
+
typedef struct {
BGC_FP32_Turn3 versor1, versor2, result;
} structure_fp32_t;
@@ -51,25 +53,6 @@ structure_fp32_t* make_structures(const unsigned int amount)
return list;
}
-void print_quaternion_fp32(const BGC_FP32_Quaternion* quaternion)
-{
- printf("Quaternion FP32(s = %0.12f, x = %0.12f, y = %0.12f, z = %0.12f)\n", quaternion->s, quaternion->x, quaternion->y, quaternion->z);
-}
-
-void print_quaternion_fp64(const BGC_FP64_Quaternion* quaternion)
-{
- printf("Quaternion FP64(s = %0.12f, x = %0.12f, y = %0.12f, z = %0.12f)\n", quaternion->s, quaternion->x, quaternion->y, quaternion->z);
-}
-
-void print_vector_fp32(const BGC_FP32_Vector3* vector)
-{
- printf("(%f, %f, %f) / %f\n", vector->x, vector->y, vector->z, bgc_fp32_vector3_get_length(vector));
-}
-
-void print_vector_fp64(const BGC_FP64_Vector3* vector)
-{
- printf("(%lf, %lf, %lf) / %lf\n", vector->x, vector->y, vector->z, bgc_fp64_vector3_get_length(vector));
-}
void list_work(const uint_fast32_t amount, structure_fp32_t* list)
{
@@ -113,9 +96,9 @@ int main()
printf("Time: %lf\n", (end.tv_sec - start.tv_sec) * 1000.0 + (end.tv_nsec - start.tv_nsec) * 0.000001);
#endif // _WIN64
- print_quaternion_fp32(&list[10].versor1._versor);
- print_quaternion_fp32(&list[10].versor2._versor);
- print_quaternion_fp32(&list[10].result._versor);
+ print_fp32_quaternion(&list[10].versor1._versor);
+ print_fp32_quaternion(&list[10].versor2._versor);
+ print_fp32_quaternion(&list[10].result._versor);
free(list);
@@ -149,364 +132,15 @@ int main() {
}
*/
-void test_pair_difference_fp32()
-{
-
- BGC_FP32_Vector3 initial_main, initial_branch;
- BGC_FP32_Vector3 final_main, final_branch;
- BGC_FP32_Turn3 turn;
-
- // No turn
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nNo turn:\n");
- print_quaternion_fp32(&turn._versor);
-
- // Turn around (1, 1, 0) axis on 180 degrees
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 0.0f, 1.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 1.0f, 0.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
- print_quaternion_fp32(&turn._versor);
-
- // 180 degree turn
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, -1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n180 degree turn around (0, 1, 0):\n");
- print_quaternion_fp32(&turn._versor);
-
- // 90 degree turn around x3 axis
- bgc_fp32_vector3_set_values(&initial_main, 2.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 3.1f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 0.0f, 10.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch,-1.0f, 0.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n90 degree turn around (0, 0, 1):\n");
- print_quaternion_fp32(&turn._versor);
-
- // Unorthogonal pairs turn at 90 degrees around x3 axis
- bgc_fp32_vector3_set_values(&initial_main, 2.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, -2.0f, 3.1f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 0.0f, 10.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, -1.0f, 5.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
- print_quaternion_fp32(&turn._versor);
-
- // Zero vectors
- bgc_fp32_vector3_set_values(&initial_main, 0.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 1.0f, 0.0f);
-
- int code;
-
- code = bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- if (code == BGC_SUCCESS) {
- printf("\nZero vectors: this cannot be!\n");
- print_quaternion_fp32(&turn._versor);
- }
- else {
- printf("\nZero vector validation works fine\n");
- }
-
- // Parallel vectors
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 2.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 1.0f, 0.0f);
-
- code = bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- if (code == BGC_SUCCESS) {
- printf("\nParallel vectors: this cannot be!\n");
- print_quaternion_fp32(&turn._versor);
- }
- else {
- printf("\nParallelism validation works fine\n");
- }
-
- // Small angle turn (about 1 degree):
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 0.999848f, 0.017452f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, -0.017452f, 0.999848f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn , &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nSmall angle turn (about 1 degree):\n");
- print_quaternion_fp32(&turn._versor);
-
- // About 179 degrees turn
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, -0.999848f, -0.017452f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.017452f, -0.999848f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 179 degrees turn:\n");
- print_quaternion_fp32(&turn._versor);
-
- // 120 degrees around (-1, -1, 1)
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 1.0f, 0.0f);
-
- bgc_fp32_vector3_set_values(&final_main, 0.0f, 1.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 0.0f, -1.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n120 degees turn:\n");
- print_quaternion_fp32(&turn._versor);
-
-
- // About 1 degree turn difference between initial_main and initial_branch directions
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.999848f, 0.017452f, 0.0f);
- bgc_fp32_vector3_set_values(&final_main, 0.0f, 1.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, -1.0f, 0.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 1 degree turn difference between initial_main and initial_branch directions:\n");
- print_quaternion_fp32(&turn._versor);
-
- // About 0.01 degree turn difference between initial_main and initial_branch directions
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 1.0f, 0.000001f, 0.0f);
- bgc_fp32_vector3_set_values(&final_main, 0.0f, -1.0f, 0.0f);
- bgc_fp32_vector3_set_values(&final_branch, 1.0f, 0.0f, 0.0f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 0.01 degree turn difference between initial_main and initial_branch directions:\n");
- print_quaternion_fp32(&turn._versor);
-
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.0f, 0.0f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 0.999999f, 0.00014142f); // почти (0,1,0), но крошечный z
-
- bgc_fp32_vector3_set_values(&final_main, -0.999999f, 0.0f, 0.00014142f);
- bgc_fp32_vector3_set_values(&final_branch, 0.0f, 0.999999f, -0.00014142f);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
- printf("\nNear 180° with tiny branch deviation:\n");
- print_quaternion_fp32(&turn._versor);
-
- bgc_fp32_vector3_set_values(&initial_main, 1.0f, 0.2f, 0.1f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.1f, 1.0f, 0.3f); // почти (0,1,0), но крошечный z
-
- BGC_FP32_Turn3 known;
-
- bgc_fp32_turn3_set_rotation(&known, 0.0f, 0.0f, 1.0f, 90.0f, BGC_ANGLE_UNIT_DEGREES);
-
- bgc_fp32_vector3_set_values(&initial_main, -0.999999f, 0.0f, 0.00014142f);
- bgc_fp32_vector3_set_values(&initial_branch, 0.0f, 0.999999f, -0.00014142f);
-
- bgc_fp32_turn3_vector(&final_main, &known, &initial_main);
- bgc_fp32_turn3_vector(&final_branch, &known, &initial_branch);
-
- bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
- printf("\nRecover known 90° Z rotation:\n");
- print_quaternion_fp32(&turn._versor);
-
- printf("Known was: ");
- print_quaternion_fp32(&known._versor);
-}
-
-void test_pair_difference_fp64()
-{
-
- BGC_FP64_Vector3 initial_main, initial_branch;
- BGC_FP64_Vector3 final_main, final_branch;
- BGC_FP64_Turn3 turn;
-
- // No turn
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nNo turn:\n");
- print_quaternion_fp64(&turn._versor);
-
- // Turn around (1, 1, 0) axis on 180 degrees
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 1.0, 0.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
- print_quaternion_fp64(&turn._versor);
-
- // 180 degree turn
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_vector3_set_values(&initial_branch, -1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n180 degree turn around (0, 1, 0):\n");
- print_quaternion_fp64(&turn._versor);
-
- // 90 degree turn around x3 axis
- bgc_fp64_vector3_set_values(&initial_main, 2.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 3.1, 0.0);
-
- bgc_fp64_vector3_set_values(&final_main, 0.0, 10.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, -1.0, 0.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n90 degree turn around (0, 0, 1):\n");
- print_quaternion_fp64(&turn._versor);
-
- // Unorthogonal pairs turn at 90 degrees around x3 axis
- bgc_fp64_vector3_set_values(&initial_main, 2.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, -2.0, 3.1, 0.0);
-
- bgc_fp64_vector3_set_values(&final_main, 0.0, 10.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, -1.0, 5.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
- print_quaternion_fp64(&turn._versor);
-
- // Zero vectors
- bgc_fp64_vector3_set_values(&initial_main, 0.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.0, 1.0, 0.0);
-
- int code;
-
- code = bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- if (code == BGC_SUCCESS) {
- printf("\nZero vectors: this cannot be!\n");
- print_quaternion_fp64(&turn._versor);
- }
- else {
- printf("\nZero vector validation works fine\n");
- }
-
- // Parallel vectors
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 2.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.0, 1.0, 0.0);
-
- code = bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- if (code == BGC_SUCCESS) {
- printf("\nParallel vectors: this cannot be!\n");
- print_quaternion_fp64(&turn._versor);
- }
- else {
- printf("\nParallelism validation works fine\n");
- }
-
- // Small angle turn (about 1 degree):
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_vector3_set_values(&final_main, 0.999848, 0.017452, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, -0.017452, 0.999848, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nSmall angle turn (about 1 degree):\n");
- print_quaternion_fp64(&turn._versor);
-
- // About 179 degrees turn
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_vector3_set_values(&final_main, -0.999848, -0.017452, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.017452, -0.999848, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 179 degrees turn:\n");
- print_quaternion_fp64(&turn._versor);
-
- // 120 degrees around (-1, -1, 1)
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.0, 1.0, 0.0);
-
- bgc_fp64_vector3_set_values(&final_main, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 0.0, 0.0, -1.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\n120 degees turn:\n");
- print_quaternion_fp64(&turn._versor);
-
-
- // About 1 degree turn difference between initial_main and initial_branch directions
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 0.999848, 0.017452, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 0.0, 1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, -1.0, 0.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 1 degree turn difference between initial_main and initial_branch directions:\n");
- print_quaternion_fp64(&turn._versor);
-
- // About 0.001 degree turn difference between initial_main and initial_branch directions
- bgc_fp64_vector3_set_values(&initial_main, 1.0, 0.0, 0.0);
- bgc_fp64_vector3_set_values(&initial_branch, 1.0, 0.000001, 0.0);
- bgc_fp64_vector3_set_values(&final_main, 0.0, -1.0, 0.0);
- bgc_fp64_vector3_set_values(&final_branch, 1.0, 0.0, 0.0);
-
- bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
-
- printf("\nAbout 0.01 degree turn difference between initial_main and initial_branch directions:\n");
- print_quaternion_fp64(&turn._versor);
-}
#include "affine3.h"
int main()
{
- //test_pair_difference_fp32();
- //test_pair_difference_fp64();
+ //test_fp32_pair_difference();
+ test_fp64_pair_difference();
- printf("Affine3 performance test: %f\n", test_bgc_affine3_performance(10000000, 10));
+ //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));
diff --git a/basic-geometry-dev/printing_utils.c b/basic-geometry-dev/printing_utils.c
new file mode 100644
index 0000000..94451a0
--- /dev/null
+++ b/basic-geometry-dev/printing_utils.c
@@ -0,0 +1,8 @@
+#include "printing_utils.h"
+
+extern inline void print_fp32_quaternion(const BGC_FP32_Quaternion* const quaternion);
+extern inline void print_fp64_quaternion(const BGC_FP64_Quaternion* const quaternion);
+
+extern inline void print_fp32_vector3(const BGC_FP32_Vector3* const vector);
+extern inline void print_fp64_vector3(const BGC_FP64_Vector3* const vector);
+
diff --git a/basic-geometry-dev/printing_utils.h b/basic-geometry-dev/printing_utils.h
new file mode 100644
index 0000000..3b770b1
--- /dev/null
+++ b/basic-geometry-dev/printing_utils.h
@@ -0,0 +1,37 @@
+#ifndef PRINTING_UTILS_H_INCLUDED
+#define PRINTING_UTILS_H_INCLUDED
+
+#include
+#include
+
+inline void print_fp32_quaternion(const BGC_FP32_Quaternion* const quaternion)
+{
+ printf("FP32 Quaternion(s = %0.12f, x = %0.12f, y = %0.12f, z = %0.12f)\n", quaternion->s, quaternion->x, quaternion->y, quaternion->z);
+}
+
+inline void print_fp64_quaternion(const BGC_FP64_Quaternion* const quaternion)
+{
+ printf("FP64 Quaternion(s = %0.12f, x = %0.12f, y = %0.12f, z = %0.12f)\n", quaternion->s, quaternion->x, quaternion->y, quaternion->z);
+}
+
+inline void print_fp32_vector2(const BGC_FP32_Vector2* const vector)
+{
+ printf("FP32 Vector2(x = %f, y = %f) / length = %f\n", vector->x, vector->y, bgc_fp32_vector2_get_length(vector));
+}
+
+inline void print_fp64_vector2(const BGC_FP64_Vector2* const vector)
+{
+ printf("FP32 Vector2(x = %lf, y = %lf) / length = %lf\n", vector->x, vector->y, bgc_fp64_vector2_get_length(vector));
+}
+
+inline void print_fp32_vector3(const BGC_FP32_Vector3* const vector)
+{
+ printf("FP32 Vector3(x = %f, y = %f, z = %f) / length = %f\n", vector->x, vector->y, vector->z, bgc_fp32_vector3_get_length(vector));
+}
+
+inline void print_fp64_vector3(const BGC_FP64_Vector3* const vector)
+{
+ printf("FP64 Vector3(x = %lf, y = %lf, z = %lf) / length = %lf\n", vector->x, vector->y, vector->z, bgc_fp64_vector3_get_length(vector));
+}
+
+#endif // QUATERNION_UTILS_H_INCLUDED
diff --git a/basic-geometry-dev/vector3_pair_difference.c b/basic-geometry-dev/vector3_pair_difference.c
new file mode 100644
index 0000000..1e76063
--- /dev/null
+++ b/basic-geometry-dev/vector3_pair_difference.c
@@ -0,0 +1,506 @@
+#include "printing_utils.h"
+#include "vector3_pair_difference.h"
+
+// ======== Float Pointer 32-bit version ======== //
+
+static void _test_fp32_no_turn()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nNo turn:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_180deg_v1()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_180deg_v2()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { -1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (0, 1, 0) axis on 180 degrees:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_90deg_v1()
+{
+ BGC_FP32_Vector3 initial_main = { 2.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 3.1f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, 10.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { -1.0f, 0.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\n90 degree turn around (0, 0, 1):\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_90deg_v2()
+{
+ BGC_FP32_Vector3 initial_main = { 2.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 3.1f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, 10.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { -1.0f, 5.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_zero_vectors()
+{
+ BGC_FP32_Vector3 initial_main = { 0.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ const int code = bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ if (code == BGC_SUCCESS) {
+ printf("\nZero vectors: this cannot be!\n");
+ print_fp32_quaternion(&turn._versor);
+ }
+ else {
+ printf("\nZero vector validation works fine\n");
+ }
+}
+
+static void _test_fp32_parallel_vectors()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 2.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ const int code = bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ if (code == BGC_SUCCESS) {
+ printf("\nParallel vectors: this cannot be!\n");
+ print_fp32_quaternion(&turn._versor);
+ }
+ else {
+ printf("\nParallelism validation works fine\n");
+ }
+}
+
+static void _test_fp32_small_angle_turn()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.999848f, 0.017452f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { -0.017452f, 0.999848f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn , &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nSmall angle turn (about 1 degree):\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_179deg()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { -0.999848f, -0.017452f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.017452f, -0.999848f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (0, 1, 0) axis on 179 degrees:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_at_120deg_around()
+{
+ // 120 degrees around (-1, -1, 1)
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 0.0f, -1.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\n120 degees turn:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_1deg_difference()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.999848f, 0.017452f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { -1.0f, 0.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nAbout 1 degree turn difference between initial_main and initial_branch directions:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_0_01deg_difference()
+{
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 1.0f, 0.000001f, 0.0f };
+ BGC_FP32_Vector3 final_main = { 0.0f, -1.0f, 0.0f };
+ BGC_FP32_Vector3 final_branch = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nAbout 0.01 degree turn difference between initial_main and initial_branch directions:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_little_z_influence()
+{
+ // почти (0,1,0), но крошечный z
+ BGC_FP32_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 0.999999f, 0.00014142f };
+ BGC_FP32_Vector3 final_main = { -0.999999f, 0.0f, 0.00014142f };
+ BGC_FP32_Vector3 final_branch = { 0.0f, 0.999999f, -0.00014142f };
+ BGC_FP32_Turn3 turn;
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nNear 180° with tiny branch deviation:\n");
+ print_fp32_quaternion(&turn._versor);
+}
+
+static void _test_fp32_turn_restoring()
+{
+ BGC_FP32_Vector3 initial_main = { -0.999999f, 0.0f, 0.00014142f };
+ BGC_FP32_Vector3 initial_branch = { 0.0f, 0.999999f, -0.00014142f };
+ BGC_FP32_Vector3 final_main;
+ BGC_FP32_Vector3 final_branch;
+ BGC_FP32_Turn3 known, turn;
+
+ bgc_fp32_turn3_set_rotation(&known, 0.0f, 0.0f, 1.0f, 90.0f, BGC_ANGLE_UNIT_DEGREES);
+
+ bgc_fp32_turn3_vector(&final_main, &known, &initial_main);
+ bgc_fp32_turn3_vector(&final_branch, &known, &initial_branch);
+
+ bgc_fp32_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+ printf("\nRecover known 90° Z rotation:\n");
+ print_fp32_quaternion(&turn._versor);
+
+ printf("Known was: ");
+ print_fp32_quaternion(&known._versor);
+}
+
+void test_fp32_pair_difference()
+{
+ _test_fp32_no_turn();
+
+ _test_fp32_turn_at_180deg_v1();
+
+ _test_fp32_turn_at_180deg_v2();
+
+ _test_fp32_turn_at_90deg_v1();
+
+ _test_fp32_turn_at_90deg_v2();
+
+ _test_fp32_zero_vectors();
+
+ _test_fp32_parallel_vectors();
+
+ _test_fp32_small_angle_turn();
+
+ _test_fp32_turn_at_179deg();
+
+ _test_fp32_turn_at_120deg_around();
+
+ _test_fp32_1deg_difference();
+
+ _test_fp32_0_01deg_difference();
+
+ _test_fp32_little_z_influence();
+
+ _test_fp32_turn_restoring();
+}
+
+// ======== Float Pointer 64-bit version ======== //
+
+static void _test_fp64_no_turn()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nNo turn:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_180deg_v1()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (1, 1, 0) axis on 180 degrees:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_180deg_v2()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { -1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (0, 1, 0) axis on 180 degrees:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_90deg_v1()
+{
+ BGC_FP64_Vector3 initial_main = { 2.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 3.1f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, 10.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { -1.0f, 0.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\n90 degree turn around (0, 0, 1):\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_90deg_v2()
+{
+ BGC_FP64_Vector3 initial_main = { 2.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 3.1f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, 10.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { -1.0f, 5.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nUnorthogonal pairs turn at 90 degrees around (0, 0, 1):\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_zero_vectors()
+{
+ BGC_FP64_Vector3 initial_main = { 0.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ const int code = bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ if (code == BGC_SUCCESS) {
+ printf("\nZero vectors: this cannot be!\n");
+ print_fp64_quaternion(&turn._versor);
+ }
+ else {
+ printf("\nZero vector validation works fine\n");
+ }
+}
+
+static void _test_fp64_parallel_vectors()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 2.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ const int code = bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ if (code == BGC_SUCCESS) {
+ printf("\nParallel vectors: this cannot be!\n");
+ print_fp64_quaternion(&turn._versor);
+ }
+ else {
+ printf("\nParallelism validation works fine\n");
+ }
+}
+
+static void _test_fp64_small_angle_turn()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.999848f, 0.017452f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { -0.017452f, 0.999848f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn , &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nSmall angle turn (about 1 degree):\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_179deg()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { -0.999848f, -0.017452f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.017452f, -0.999848f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nTurn around (0, 1, 0) axis on 179 degrees:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_at_120deg_around()
+{
+ // 120 degrees around (-1, -1, 1)
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 0.0f, -1.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\n120 degees turn:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_1deg_difference()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.999848f, 0.017452f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, 1.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { -1.0f, 0.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nAbout 1 degree turn difference between initial_main and initial_branch directions:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_0_01deg_difference()
+{
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 1.0f, 0.000001f, 0.0f };
+ BGC_FP64_Vector3 final_main = { 0.0f, -1.0f, 0.0f };
+ BGC_FP64_Vector3 final_branch = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nAbout 0.01 degree turn difference between initial_main and initial_branch directions:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_little_z_influence()
+{
+ // почти (0,1,0), но крошечный z
+ BGC_FP64_Vector3 initial_main = { 1.0f, 0.0f, 0.0f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 0.999999f, 0.00014142f };
+ BGC_FP64_Vector3 final_main = { -0.999999f, 0.0f, 0.00014142f };
+ BGC_FP64_Vector3 final_branch = { 0.0f, 0.999999f, -0.00014142f };
+ BGC_FP64_Turn3 turn;
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+
+ printf("\nNear 180° with tiny branch deviation:\n");
+ print_fp64_quaternion(&turn._versor);
+}
+
+static void _test_fp64_turn_restoring()
+{
+ BGC_FP64_Vector3 initial_main = { -0.999999f, 0.0f, 0.00014142f };
+ BGC_FP64_Vector3 initial_branch = { 0.0f, 0.999999f, -0.00014142f };
+ BGC_FP64_Vector3 final_main;
+ BGC_FP64_Vector3 final_branch;
+ BGC_FP64_Turn3 known, turn;
+
+ bgc_fp64_turn3_set_rotation(&known, 0.0f, 0.0f, 1.0f, 90.0f, BGC_ANGLE_UNIT_DEGREES);
+
+ bgc_fp64_turn3_vector(&final_main, &known, &initial_main);
+ bgc_fp64_turn3_vector(&final_branch, &known, &initial_branch);
+
+ bgc_fp64_turn3_find_pair_difference(&turn, &initial_main, &initial_branch, &final_main, &final_branch);
+ printf("\nRecover known 90° Z rotation:\n");
+ print_fp64_quaternion(&turn._versor);
+
+ printf("Known was: ");
+ print_fp64_quaternion(&known._versor);
+}
+
+void test_fp64_pair_difference()
+{
+ _test_fp64_no_turn();
+
+ _test_fp64_turn_at_180deg_v1();
+
+ _test_fp64_turn_at_180deg_v2();
+
+ _test_fp64_turn_at_90deg_v1();
+
+ _test_fp64_turn_at_90deg_v2();
+
+ _test_fp64_zero_vectors();
+
+ _test_fp64_parallel_vectors();
+
+ _test_fp64_small_angle_turn();
+
+ _test_fp64_turn_at_179deg();
+
+ _test_fp64_turn_at_120deg_around();
+
+ _test_fp64_1deg_difference();
+
+ _test_fp64_0_01deg_difference();
+
+ _test_fp64_little_z_influence();
+
+ _test_fp64_turn_restoring();
+}
diff --git a/basic-geometry-dev/vector3_pair_difference.h b/basic-geometry-dev/vector3_pair_difference.h
new file mode 100644
index 0000000..be241a3
--- /dev/null
+++ b/basic-geometry-dev/vector3_pair_difference.h
@@ -0,0 +1,8 @@
+#ifndef VECTOR3_PAIR_DIFFERENCE_INCLUDED
+#define VECTOR3_PAIR_DIFFERENCE_INCLUDED
+
+void test_fp32_pair_difference();
+
+void test_fp64_pair_difference();
+
+#endif // VECTOR3_PAIR_DIFFERENCE_INCLUDED
diff --git a/basic-geometry/quaternion.c b/basic-geometry/quaternion.c
index 4f33715..d9daa62 100644
--- a/basic-geometry/quaternion.c
+++ b/basic-geometry/quaternion.c
@@ -4,12 +4,6 @@
extern inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion* const quaternion);
extern inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion* const quaternion);
-extern inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion* const quaternion);
-extern inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion* const quaternion);
-
-extern inline void bgc_fp32_quaternion_set_values(BGC_FP32_Quaternion* const quaternion, const float s, const float x, const float y, const float z);
-extern inline void bgc_fp64_quaternion_set_values(BGC_FP64_Quaternion* const quaternion, const double s, const double x, const double y, const double z);
-
extern inline float bgc_fp32_quaternion_get_square_magnitude(const BGC_FP32_Quaternion* const quaternion);
extern inline double bgc_fp64_quaternion_get_square_magnitude(const BGC_FP64_Quaternion* const quaternion);
diff --git a/basic-geometry/quaternion.h b/basic-geometry/quaternion.h
index 3e72e09..eeaf1e2 100644
--- a/basic-geometry/quaternion.h
+++ b/basic-geometry/quaternion.h
@@ -26,42 +26,6 @@ inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion* const quaternion)
quaternion->z = 0.0;
}
-// ================= Make Unit ================== //
-
-inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion* const quaternion)
-{
- quaternion->s = 1.0f;
- quaternion->x = 0.0f;
- quaternion->y = 0.0f;
- quaternion->z = 0.0f;
-}
-
-inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion* const quaternion)
-{
- quaternion->s = 1.0;
- quaternion->x = 0.0;
- quaternion->y = 0.0;
- quaternion->z = 0.0;
-}
-
-// ==================== Set ===================== //
-
-inline void bgc_fp32_quaternion_set_values(BGC_FP32_Quaternion* const quaternion, const float s, const float x, const float y, const float z)
-{
- quaternion->s = s;
- quaternion->x = x;
- quaternion->y = y;
- quaternion->z = z;
-}
-
-inline void bgc_fp64_quaternion_set_values(BGC_FP64_Quaternion* const quaternion, const double s, const double x, const double y, const double z)
-{
- quaternion->s = s;
- quaternion->x = x;
- quaternion->y = y;
- quaternion->z = z;
-}
-
// ============= Get Square Modulus ============= //
inline float bgc_fp32_quaternion_get_square_magnitude(const BGC_FP32_Quaternion* const quaternion)
diff --git a/basic-geometry/turn3.c b/basic-geometry/turn3.c
index dd1ac87..68f3104 100644
--- a/basic-geometry/turn3.c
+++ b/basic-geometry/turn3.c
@@ -142,7 +142,10 @@ void bgc_fp32_turn3_set_rotation(BGC_FP32_Turn3* const turn, const float x, cons
const float multiplier = sine / sqrtf(square_vector);
- bgc_fp32_quaternion_set_values(&turn->_versor, cosf(half_angle), x * multiplier, y * multiplier, z * multiplier);
+ turn->_versor.s = cosf(half_angle);
+ turn->_versor.x = x * multiplier;
+ turn->_versor.y = y * multiplier;
+ turn->_versor.z = z * multiplier;
_bgc_fp32_turn3_normalize(turn);
}
@@ -167,7 +170,10 @@ void bgc_fp64_turn3_set_rotation(BGC_FP64_Turn3* const turn, const double x, con
const double multiplier = sine / sqrt(square_vector);
- bgc_fp64_quaternion_set_values(&turn->_versor, cos(half_angle), x * multiplier, y * multiplier, z * multiplier);
+ turn->_versor.s = cos(half_angle);
+ turn->_versor.x = x * multiplier;
+ turn->_versor.y = y * multiplier;
+ turn->_versor.z = z * multiplier;
_bgc_fp64_turn3_normalize(turn);
}
diff --git a/basic-geometry/turn3.h b/basic-geometry/turn3.h
index 70be635..fb8d0ef 100644
--- a/basic-geometry/turn3.h
+++ b/basic-geometry/turn3.h
@@ -104,13 +104,21 @@ inline void _bgc_fp64_turn3_normalize(BGC_FP64_Turn3* const turn)
inline void bgc_fp32_turn3_set_values(BGC_FP32_Turn3* const turn, const float s, const float x, const float y, const float z)
{
- bgc_fp32_quaternion_set_values(&turn->_versor, s, x, y, z);
+ turn->_versor.s = s;
+ turn->_versor.x = x;
+ turn->_versor.y = y;
+ turn->_versor.z = z;
+
_bgc_fp32_turn3_normalize(turn);
}
inline void bgc_fp64_turn3_set_values(BGC_FP64_Turn3* const turn, const double s, const double x, const double y, const double z)
{
- bgc_fp64_quaternion_set_values(&turn->_versor, s, x, y, z);
+ turn->_versor.s = s;
+ turn->_versor.x = x;
+ turn->_versor.y = y;
+ turn->_versor.z = z;
+
_bgc_fp64_turn3_normalize(turn);
}
diff --git a/basic-geometry/vector2.c b/basic-geometry/vector2.c
index ff857b0..50614a9 100644
--- a/basic-geometry/vector2.c
+++ b/basic-geometry/vector2.c
@@ -3,9 +3,6 @@
extern inline void bgc_fp32_vector2_reset(BGC_FP32_Vector2* const vector);
extern inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* const vector);
-extern inline void bgc_fp32_vector2_set_values(BGC_FP32_Vector2* const destination, const float x, const float y);
-extern inline void bgc_fp64_vector2_set_values(BGC_FP64_Vector2* const destination, const double x, const double y);
-
extern inline float bgc_fp32_vector2_get_squared_length(const BGC_FP32_Vector2* const vector);
extern inline double bgc_fp64_vector2_get_squared_length(const BGC_FP64_Vector2* const vector);
diff --git a/basic-geometry/vector2.h b/basic-geometry/vector2.h
index fc95607..f25b2bc 100644
--- a/basic-geometry/vector2.h
+++ b/basic-geometry/vector2.h
@@ -21,20 +21,6 @@ inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* const vector)
vector->y = 0.0;
}
-// ==================== Set ===================== //
-
-inline void bgc_fp32_vector2_set_values(BGC_FP32_Vector2* const destination, const float x, const float y)
-{
- destination->x = x;
- destination->y = y;
-}
-
-inline void bgc_fp64_vector2_set_values(BGC_FP64_Vector2* const destination, const double x, const double y)
-{
- destination->x = x;
- destination->y = y;
-}
-
// ================== Modulus =================== //
inline float bgc_fp32_vector2_get_squared_length(const BGC_FP32_Vector2* const vector)
diff --git a/basic-geometry/vector3.c b/basic-geometry/vector3.c
index 7b8126b..1ae18e1 100644
--- a/basic-geometry/vector3.c
+++ b/basic-geometry/vector3.c
@@ -3,9 +3,6 @@
extern inline void bgc_fp32_vector3_reset(BGC_FP32_Vector3* const vector);
extern inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* const vector);
-extern inline void bgc_fp32_vector3_set_values(BGC_FP32_Vector3* const destination, const float x, const float y, const float z);
-extern inline void bgc_fp64_vector3_set_values(BGC_FP64_Vector3* const destination, const double x, const double y, const double z);
-
extern inline float bgc_fp32_vector3_get_squared_length(const BGC_FP32_Vector3* const vector);
extern inline double bgc_fp64_vector3_get_squared_length(const BGC_FP64_Vector3* const vector);
diff --git a/basic-geometry/vector3.h b/basic-geometry/vector3.h
index 7392ff5..74c6928 100644
--- a/basic-geometry/vector3.h
+++ b/basic-geometry/vector3.h
@@ -23,22 +23,6 @@ inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* const vector)
vector->z = 0.0;
}
-// ==================== Set ===================== //
-
-inline void bgc_fp32_vector3_set_values(BGC_FP32_Vector3* const destination, const float x, const float y, const float z)
-{
- destination->x = x;
- destination->y = y;
- destination->z = z;
-}
-
-inline void bgc_fp64_vector3_set_values(BGC_FP64_Vector3* const destination, const double x, const double y, const double z)
-{
- destination->x = x;
- destination->y = y;
- destination->z = z;
-}
-
// ================== Modulus =================== //
inline float bgc_fp32_vector3_get_squared_length(const BGC_FP32_Vector3* const vector)
diff --git a/docs/intro-zho.md b/docs/intro-zho.md
index 76e4c61..fa6cb17 100644
--- a/docs/intro-zho.md
+++ b/docs/intro-zho.md
@@ -38,7 +38,7 @@ C 语言没有命名空间,因此名称中的前缀起到了命名空间的作
该库使用两种浮点数类型:**float** 和 **double**(**IEEE 754** 标准的 **binary32** 和 **binary64** 类型)。
因此,该库有两个类型前缀:
-- **FP32** - 表示 Floating Point 32-bit, 即 32 位浮点数,对应于 C 语言中的 **float** 类型。
+- **FP32** - 表示 Floating Point 32-bit,即 32 位浮点数,对应于 C 语言中的 **float** 类型。
- **FP64** - 表示 Floating Point 64-bit,即 64 位浮点数,对应于 C 语言中的 **double** 类型。
基于浮点数类型的结构体和常量以 FP32_** 为前缀:
diff --git a/docs/quaternion/copy-eng.md b/docs/quaternion/copy-eng.md
index 5a373a2..5aa2e2d 100644
--- a/docs/quaternion/copy-eng.md
+++ b/docs/quaternion/copy-eng.md
@@ -2,15 +2,11 @@
[Русская версия / Russian version](copy-rus.md)
-Function for **BGC_FP32_Quaternion**:
+## Function options
```c
inline void bgc_fp32_quaternion_copy(BGC_FP32_Quaternion* const destination, const BGC_FP32_Quaternion* const source);
-```
-Function for **BGC_FP64_Quaternion**:
-
-```c
inline void bgc_fp64_quaternion_copy(BGC_FP64_Quaternion* const destination, const BGC_FP64_Quaternion* const source);
```
@@ -25,7 +21,7 @@ destination->y = source->y;
destination->z = source->z;
```
-### Parameters
+## Parameters
| Parameter | Direction | Description |
| ----------- | ---------- | -------------------------------------------------------------------------------- |
@@ -34,7 +30,7 @@ destination->z = source->z;
The *source* and *destination* parameters must be valid pointers. The NULL (0) value is also considered invalid.
-### Example
+## Example
```c
#include
diff --git a/docs/quaternion/copy-rus.md b/docs/quaternion/copy-rus.md
index b1348bd..9d94fc1 100644
--- a/docs/quaternion/copy-rus.md
+++ b/docs/quaternion/copy-rus.md
@@ -2,15 +2,9 @@
[English version / Английская версия](copy-eng.md)
-Функция для **BGC_FP32_Quaternion**:
-
```c
inline void bgc_fp32_quaternion_copy(BGC_FP32_Quaternion* const destination, const BGC_FP32_Quaternion* const source);
-```
-Функция для **BGC_FP64_Quaternion**:
-
-```c
inline void bgc_fp64_quaternion_copy(BGC_FP64_Quaternion* const destination, const BGC_FP64_Quaternion* const source);
```
diff --git a/docs/vector2-eng.md b/docs/vector2-eng.md
index 3f865d3..7ee4675 100644
--- a/docs/vector2-eng.md
+++ b/docs/vector2-eng.md
@@ -28,10 +28,6 @@ The fields *x* and *y* are the coordinates of a 3D vector.
- bgc_fp32_vector2_reset
- bgc_fp64_vector2_reset
-- [Set Values](vector2/set-values-eng.md)
- - bgc_fp32_vector2_set_values
- - bgc_fp64_vector2_set_values
-
- [Copy](vector2/copy-eng.md)
- bgc_fp32_vector2_copy
- bgc_fp64_vector2_copy
diff --git a/docs/vector2-rus.md b/docs/vector2-rus.md
index 27e7d2a..108d542 100644
--- a/docs/vector2-rus.md
+++ b/docs/vector2-rus.md
@@ -28,10 +28,6 @@
- bgc_fp32_vector2_reset
- bgc_fp64_vector2_reset
-- [Установка значений координат](vector2/set-values-rus.md)
- - bgc_fp32_vector2_set_values
- - bgc_fp64_vector2_set_values
-
- [Копирование значений координат](vector2/copy-rus.md)
- bgc_fp32_vector2_copy
- bgc_fp64_vector2_copy
diff --git a/docs/vector2/set-values-eng.md b/docs/vector2/set-values-eng.md
deleted file mode 100644
index d1abbca..0000000
--- a/docs/vector2/set-values-eng.md
+++ /dev/null
@@ -1,52 +0,0 @@
-# Setting the coordinates of a two-dimensional vector
-
-[Русская версия / Russian version](set-values-rus.md)
-
-You can set the coordinates of vectors either directly or using functions.
-The functions for setting coordinate values allow you to do this in one line.
-
-Function for **BGC_FP32_Vector2**:
-
-```c
-inline void bgc_fp32_vector2_set_values(BGC_FP32_Vector2* const destination, const float x, const float y);
-```
-
-Function for **BGC_FP64_Vector2**:
-
-```c
-inline void bgc_fp64_vector2_set_values(BGC_FP64_Vector2* const destination, const double x, const double y);
-```
-
-Each of these functions is equivalent to the following lines of code:
-
-```c
-destination->x = x;
-destination->y = y;
-```
-
-Valid pointers should pass in the **destination** parameter.
-The NULL (0) value is considered invalid.
-
-This function is good for setting up the initial values of coordinates with
-one-line especially when the values are fixed constants like in the example
-below.
-
-Example of use:
-
-```c
-#include
-#include
-
-int main()
-{
- BGC_FP32_Vector2 v;
-
- bgc_fp32_vector2_set_values(&v, -2.2f, 7.1f);
-
- printf("x = %f, y = %f\n", v.x, v.y);
-
- return 0;
-}
-```
-
-[Documentation](../intro-eng.md) / [2D vectors](../vector2-eng.md)
diff --git a/docs/vector2/set-values-rus.md b/docs/vector2/set-values-rus.md
deleted file mode 100644
index 16ec0d4..0000000
--- a/docs/vector2/set-values-rus.md
+++ /dev/null
@@ -1,52 +0,0 @@
-#
-
-[English version / ](set-values-eng.md)
-
- , .
- .
-
- **BGC_FP32_Vector2**:
-
-```c
-inline void bgc_fp32_vector2_set_values(BGC_FP32_Vector2* const destination, const float x, const float y);
-```
-
- **BGC_FP64_Vector2**:
-
-```c
-inline void bgc_fp64_vector2_set_values(BGC_FP64_Vector2* const destination, const double x, const double y);
-```
-
- :
-
-```c
-destination->x = x;
-destination->y = y;
-```
-
- **destination** .
- NULL (0) .
-
-
-.
- .
-
- :
-
-```c
-#include
-#include
-
-int main()
-{
- BGC_FP32_Vector2 v;
-
- bgc_fp32_vector2_set_values(&v, -2.2f, 7.1f);
-
- printf("x = %f, y = %f\n", v.x, v.y);
-
- return 0;
-}
-```
-
-[](../intro-rus.md) / [2D ](../vector2-rus.md)
diff --git a/docs/vector3-eng.md b/docs/vector3-eng.md
index 81fe2bc..3f70f10 100644
--- a/docs/vector3-eng.md
+++ b/docs/vector3-eng.md
@@ -28,10 +28,6 @@ The fields *x*, *y* and *z* are the coordinates of a 3D vector.
- bgc_fp32_vector3_reset
- bgc_fp64_vector3_reset
-- [Set Values](vector3/set-values-eng.md)
- - bgc_fp32_vector3_set_values
- - bgc_fp64_vector3_set_values
-
- [Copy](vector3/copy-eng.md)
- bgc_fp32_vector3_copy
- bgc_fp64_vector3_copy
diff --git a/docs/vector3-rus.md b/docs/vector3-rus.md
index 8d1a37b..f858f4e 100644
--- a/docs/vector3-rus.md
+++ b/docs/vector3-rus.md
@@ -28,10 +28,6 @@
- bgc_fp32_vector3_reset
- bgc_fp64_vector3_reset
-- [Установка значений координат](vector3/set-values-rus.md)
- - bgc_fp32_vector3_set_values
- - bgc_fp64_vector3_set_values
-
- [Копирование координат](vector3/copy-rus.md)
- bgc_fp32_vector3_copy
- bgc_fp64_vector3_copy
diff --git a/docs/vector3/set-values-eng.md b/docs/vector3/set-values-eng.md
deleted file mode 100644
index c197b8e..0000000
--- a/docs/vector3/set-values-eng.md
+++ /dev/null
@@ -1,59 +0,0 @@
-# Setting the coordinates of a three-dimensional vector
-
-[Русская версия / Russian version](set-values-rus.md)
-
-The function for **BGC_FP32_Vector3**:
-
-```c
-inline void bgc_fp32_vector3_set_values(BGC_FP32_Vector3* const destination, const float x, const float y, const float z);
-```
-
-The function for **BGC_FP64_Vector3**:
-
-```c
-inline void bgc_fp64_vector3_set_values(BGC_FP64_Vector3* const destination, const double x, const double y, const double z);
-```
-
-These functions allow to set the values of coordinates in one-line.
-
-The functions are especially useful when the values are constants like in the example below.
-
-Each of these functions is equivalent to the following lines of code:
-
-```c
-destination->x = x;
-destination->y = y;
-destination->z = z;
-```
-
-### Parameters
-
-| Parameter | Direction | Description |
-| ----------- | --------- | ------------------------------------------------------- |
-| destination | out | A pointer to a 3D-vector, which coordinates must be set |
-| x | in | A new value for the X-coordinate |
-| y | in | A new value for the Y-coordinate |
-| z | in | A new value for the Z-coordinate |
-
-The *destination* parameter must be a valid pointer. The NULL (0) value is considered invalid.
-
-### Example
-
-```c
-#include
-#include
-
-int main()
-{
- BGC_FP32_Vector3 v;
-
- bgc_fp32_vector3_set_values(&v, -2.2f, 7.8f, 10.01f);
-
- printf("x = %f, y = %f, z = %f\n", v.x, v.y, v.z);
-
- return 0;
-}
-```
-
-[Documentation](../intro-eng.md) / [3D vectors](../vector3-eng.md)
-
diff --git a/docs/vector3/set-values-rus.md b/docs/vector3/set-values-rus.md
deleted file mode 100644
index 5d0f625..0000000
--- a/docs/vector3/set-values-rus.md
+++ /dev/null
@@ -1,58 +0,0 @@
-# Задание координат трёхмерного вектора.
-
-[English version / Английская версия](set-values-eng.md)
-
-Функция для **BGC_FP32_Vector3**:
-
-```c
-inline void bgc_fp32_vector3_set_values(BGC_FP32_Vector3* const destination, const float x, const float y, const float z);
-```
-
-Функция для **BGC_FP64_Vector3**:
-
-```c
-inline void bgc_fp64_vector3_set_values(BGC_FP64_Vector3* const destination, const double x, const double y, const double z);
-```
-
-Данные функции позволяют задать значения координат вектора одной строкой.
-
-Такая возможность может быть удобна, когда нужно указать значения координат с помощью числовых констант как в примере ниже.
-
-Каждая из функций аналогична следующим трём строкам кода:
-
-```c
-destination->x = x;
-destination->y = y;
-destination->z = z;
-```
-
-### Параметры
-
-| Параметр | Направление | Описание |
-| ----------- | ----------- | -------------------------------------------------------------- |
-| destination | исходящий | Указатель на вектор, координаты которого будут заданы функцией |
-| x | входящий | Значение координаты X |
-| y | входящий | Значение координаты Y |
-| z | входящий | Значение координаты Z |
-
-Параметр *destination* должен быть корректным указателем. Значение NULL (0) считается некорректным.
-
-### Пример
-
-```c
-#include
-#include
-
-int main()
-{
- BGC_FP32_Vector3 v;
-
- bgc_fp32_vector3_set_values(&v, -2.2f, 7.8f, 10.01f);
-
- printf("x = %f, y = %f, z = %f\n", v.x, v.y, v.z);
-
- return 0;
-}
-```
-
-[Документация](../intro-rus.md) / [Трёхмерные векторы](../vector3-rus.md)