Переход на парадигму Destination first в порядке параметров функий

basic-geometry-dev/affine3.c

@@ -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(),
+            get_random_value_fp32()
-            &position.turn
         );
 
         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++;
         }
     }

basic-geometry-dev/main.c

@@ -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,
+            rand() * multiplier - 1.0f
-            &list[i].versor1
         );
 
         bgc_fp32_versor_make(
+            &list[i].versor2,
             rand() * multiplier - 1.0f,
             rand() * multiplier - 1.0f,
             rand() * multiplier - 1.0f,
-            rand() * multiplier - 1.0f,
+            rand() * multiplier - 1.0f
-            &list[i].versor2
         );
 
         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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,   0.0f, 1.0f, 0.0f);
-    bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,  -1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   2.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 3.1f, 0.0f, &initial_auxiliary);
+    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(&final_primary,  0.0f, 10.0f, 0.0f);
-    bgc_fp32_vector3_make(-1.0f, 0.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,    2.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(-2.0f, 3.1f, 0.0f, &initial_auxiliary);
+    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(&final_primary, 0.0f, 10.0f, 0.0f);
-    bgc_fp32_vector3_make(-1.0f, 5.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   0.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,     1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(2.0f, 0.0f, 0.0f, &initial_auxiliary);
+    bgc_fp32_vector3_make(&initial_auxiliary, 2.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_primary);
+    bgc_fp32_vector3_make(&final_primary,     1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,    0.999848f, 0.017452f, 0.0f);
-    bgc_fp32_vector3_make(-0.017452f, 0.999848f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,  -0.999848f, -0.017452f, 0.0f);
-    bgc_fp32_vector3_make(0.017452f, -0.999848f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &initial_auxiliary);
+    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(&final_primary,   0.0f, 1.0f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 0.0f, -1.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(0.999848f, 0.017452f, 0.0f, &initial_auxiliary);
+    bgc_fp32_vector3_make(&initial_auxiliary, 0.999848f, 0.017452f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, 1.0f, 0.0f, &final_primary);
+    bgc_fp32_vector3_make(&final_primary, 0.0f, 1.0f, 0.0f);
-    bgc_fp32_vector3_make(-1.0f, 0.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0f, 0.0f, 0.0f);
-    bgc_fp32_vector3_make(1.0f, 0.000001f, 0.0f, &initial_auxiliary);
+    bgc_fp32_vector3_make(&initial_auxiliary, 1.0f, 0.000001f, 0.0f);
-    bgc_fp32_vector3_make(0.0f, -1.0f, 0.0f, &final_primary);
+    bgc_fp32_vector3_make(&final_primary,     0.0f, -1.0f, 0.0f);
-    bgc_fp32_vector3_make(1.0f, 0.0f, 0.0f, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,     1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,     0.0, 1.0, 0.0);
-    bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&initial_auxiliary, -1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   2.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 3.1, 0.0, &initial_auxiliary);
+    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(&final_primary,   0.0, 10.0, 0.0);
-    bgc_fp64_vector3_make(-1.0, 0.0, 0.0, &final_auxiliary);
+    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(&initial_primary,    2.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(-2.0, 3.1, 0.0, &initial_auxiliary);
+    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(&final_primary,   0.0, 10.0, 0.0);
-    bgc_fp64_vector3_make(-1.0, 5.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   0.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,     1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(2.0, 0.0, 0.0, &initial_auxiliary);
+    bgc_fp64_vector3_make(&initial_auxiliary, 2.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_primary);
+    bgc_fp64_vector3_make(&final_primary,     1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,    0.999848, 0.017452, 0.0);
-    bgc_fp64_vector3_make(-0.017452, 0.999848, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,  -0.999848, -0.017452, 0.0);
-    bgc_fp64_vector3_make(0.017452, -0.999848, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &initial_auxiliary);
+    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(&final_primary,   0.0, 1.0, 0.0);
-    bgc_fp64_vector3_make(0.0, 0.0, -1.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(0.999848, 0.017452, 0.0, &initial_auxiliary);
+    bgc_fp64_vector3_make(&initial_auxiliary, 0.999848, 0.017452, 0.0);
-    bgc_fp64_vector3_make(0.0, 1.0, 0.0, &final_primary);
+    bgc_fp64_vector3_make(&final_primary,     0.0, 1.0, 0.0);
-    bgc_fp64_vector3_make(-1.0, 0.0, 0.0, &final_auxiliary);
+    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(&initial_primary,   1.0, 0.0, 0.0);
-    bgc_fp64_vector3_make(1.0, 0.000001, 0.0, &initial_auxiliary);
+    bgc_fp64_vector3_make(&initial_auxiliary, 1.0, 0.000001, 0.0);
-    bgc_fp64_vector3_make(0.0, -1.0, 0.0, &final_primary);
+    bgc_fp64_vector3_make(&final_primary,     0.0, -1.0, 0.0);
-    bgc_fp64_vector3_make(1.0, 0.0, 0.0, &final_auxiliary);
+    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_make_full(&slerp, &start, &end);
-    bgc_fp32_slerp_get_phase_versor(&slerp, 0.5f, &result);
+    bgc_fp32_slerp_get_phase_versor(&result, &slerp, 0.5f);
 
-    print_versor_fp32(&result);
+    //print_versor_fp32(&result);
-    */
+    
-    //test_basis_difference_fp64();
+    test_basis_difference_fp64();
+    
+    //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("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;
 }

basic-geometry-test/basic-geometry-test.vcxproj

@@ -150,105 +150,9 @@
   <ItemGroup>
     <ClCompile Include="helpers.c" />
     <ClCompile Include="main.c" />
-    <ClCompile Include="tests\complex.c" />
-    <ClCompile Include="tests\complex\complex_copy.c" />
-    <ClCompile Include="tests\complex\complex_is_unit.c" />
-    <ClCompile Include="tests\complex\complex_is_zero.c" />
-    <ClCompile Include="tests\complex\complex_modulus.c" />
-    <ClCompile Include="tests\complex\complex_reset.c" />
-    <ClCompile Include="tests\complex\complex_set_values.c" />
-    <ClCompile Include="tests\complex\complex_swap.c" />
-    <ClCompile Include="tests\complex\complex_arithmetics.c" />
-    <ClCompile Include="tests\quaternion.c" />
-    <ClCompile Include="tests\quaternion\quaternion_copy.c" />
-    <ClCompile Include="tests\quaternion\quaternion_is_unit.c" />
-    <ClCompile Include="tests\quaternion\quaternion_is_zero.c" />
-    <ClCompile Include="tests\quaternion\quaternion_modulus.c" />
-    <ClCompile Include="tests\quaternion\quaternion_reset.c" />
-    <ClCompile Include="tests\quaternion\quaternion_set_to_identity.c" />
-    <ClCompile Include="tests\quaternion\quaternion_set_values.c" />
-    <ClCompile Include="tests\quaternion\quaternion_swap.c" />
-    <ClCompile Include="tests\utilities.c" />
-    <ClCompile Include="tests\utilities\are_close.c" />
-    <ClCompile Include="tests\utilities\is_unit.c" />
-    <ClCompile Include="tests\utilities\is_zero.c" />
-    <ClCompile Include="tests\vector2.c" />
-    <ClCompile Include="tests\vector2\vector2_arithmetics.c" />
-    <ClCompile Include="tests\vector2\vector2_is_unit.c" />
-    <ClCompile Include="tests\vector2\vector2_is_zero.c" />
-    <ClCompile Include="tests\vector2\vector2_copy.c" />
-    <ClCompile Include="tests\vector2\vector2_modulus.c" />
-    <ClCompile Include="tests\vector2\vector2_reset.c" />
-    <ClCompile Include="tests\vector2\vector2_set_values.c" />
-    <ClCompile Include="tests\vector2\vector2_swap.c" />
-    <ClCompile Include="tests\vector3.c" />
-    <ClCompile Include="tests\vector3\vector3_arithmetics.c" />
-    <ClCompile Include="tests\vector3\vector3_is_unit.c" />
-    <ClCompile Include="tests\vector3\vector3_is_zero.c" />
-    <ClCompile Include="tests\vector3\vector3_copy.c" />
-    <ClCompile Include="tests\vector3\vector3_modulus.c" />
-    <ClCompile Include="tests\vector3\vector3_swap.c" />
-    <ClCompile Include="tests\vector3\vector3_reset.c" />
-    <ClCompile Include="tests\vector3\vector3_set_values.c" />
-    <ClCompile Include="tests\versor.c" />
-    <ClCompile Include="tests\versor\versor_copy.c" />
-    <ClCompile Include="tests\versor\versor_is_identity.c" />
-    <ClCompile Include="tests\versor\versor_swap.c" />
-    <ClCompile Include="tests\versor\versor_combine.c" />
-    <ClCompile Include="tests\versor\versor_reset.c" />
-    <ClCompile Include="tests\versor\versor_set_values.c" />
-    <ClCompile Include="tests\versor\versor_are_close.c" />
   </ItemGroup>
   <ItemGroup>
     <ClInclude Include="helpers.h" />
-    <ClInclude Include="tests\complex.h" />
-    <ClInclude Include="tests\complex\complex_copy.h" />
-    <ClInclude Include="tests\complex\complex_is_unit.h" />
-    <ClInclude Include="tests\complex\complex_is_zero.h" />
-    <ClInclude Include="tests\complex\complex_modulus.h" />
-    <ClInclude Include="tests\complex\complex_reset.h" />
-    <ClInclude Include="tests\complex\complex_set_values.h" />
-    <ClInclude Include="tests\complex\complex_swap.h" />
-    <ClInclude Include="tests\complex\complex_arithmetics.h" />
-    <ClInclude Include="tests\quaternion.h" />
-    <ClInclude Include="tests\quaternion\quaternion_copy.h" />
-    <ClInclude Include="tests\quaternion\quaternion_is_unit.h" />
-    <ClInclude Include="tests\quaternion\quaternion_is_zero.h" />
-    <ClInclude Include="tests\quaternion\quaternion_modulus.h" />
-    <ClInclude Include="tests\quaternion\quaternion_reset.h" />
-    <ClInclude Include="tests\quaternion\quaternion_set_to_identity.h" />
-    <ClInclude Include="tests\quaternion\quaternion_set_values.h" />
-    <ClInclude Include="tests\quaternion\quaternion_swap.h" />
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-    <ClInclude Include="tests\utilities\are_close.h" />
-    <ClInclude Include="tests\utilities\is_unit.h" />
-    <ClInclude Include="tests\utilities\is_zero.h" />
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-    <ClInclude Include="tests\vector2\vector2_is_unit.h" />
-    <ClInclude Include="tests\vector2\vector2_is_zero.h" />
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-    <ClInclude Include="tests\vector2\vector2_modulus.h" />
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-    <ClInclude Include="tests\vector2\vector2_swap.h" />
-    <ClInclude Include="tests\vector3.h" />
-    <ClInclude Include="tests\vector3\vector3_arithmetics.h" />
-    <ClInclude Include="tests\vector3\vector3_is_unit.h" />
-    <ClInclude Include="tests\vector3\vector3_is_zero.h" />
-    <ClInclude Include="tests\vector3\vector3_copy.h" />
-    <ClInclude Include="tests\vector3\vector3_modulus.h" />
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-    <ClInclude Include="tests\vector3\vector3_reset.h" />
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-    <ClInclude Include="tests\versor.h" />
-    <ClInclude Include="tests\versor\versor_copy.h" />
-    <ClInclude Include="tests\versor\versor_is_identity.h" />
-    <ClInclude Include="tests\versor\versor_swap.h" />
-    <ClInclude Include="tests\versor\versor_combine.h" />
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-    <ClInclude Include="tests\versor\versor_set_values.h" />
-    <ClInclude Include="tests\versor\versor_are_close.h" />
   </ItemGroup>
   <Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
   <ImportGroup Label="ExtensionTargets">

basic-geometry-test/basic-geometry-test.vcxproj.filters

@@ -3,319 +3,8 @@
   <ItemGroup>
     <ClCompile Include="main.c" />
     <ClCompile Include="helpers.c" />
-    <ClCompile Include="tests\utilities.c">
-      <Filter>tests</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\vector2.c">
-      <Filter>tests</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\vector3.c">
-      <Filter>tests</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor.c">
-      <Filter>tests</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\utilities\is_zero.c">
-      <Filter>tests\utilities</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\utilities\is_unit.c">
-      <Filter>tests\utilities</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\utilities\are_close.c">
-      <Filter>tests\utilities</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor\versor_are_close.c">
-      <Filter>tests\versor</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor\versor_set_values.c">
-      <Filter>tests\versor</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor\versor_combine.c">
-      <Filter>tests\versor</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor\versor_reset.c">
-      <Filter>tests\versor</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\vector2\vector2_reset.c">
-      <Filter>tests\vector2</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\vector2\vector2_set_values.c">
-      <Filter>tests\vector2</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\vector3\vector3_reset.c">
-      <Filter>tests\vector3</Filter>
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-    <ClCompile Include="tests\vector3\vector3_set_values.c">
-      <Filter>tests\vector3</Filter>
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-      <Filter>tests\vector2</Filter>
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-      <Filter>tests\vector2</Filter>
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-      <Filter>tests\vector3</Filter>
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-      <Filter>tests\vector3</Filter>
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-    <ClCompile Include="tests\versor\versor_copy.c">
-      <Filter>tests\versor</Filter>
-    </ClCompile>
-    <ClCompile Include="tests\versor\versor_swap.c">
-      <Filter>tests\versor</Filter>
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-    <ClCompile Include="tests\quaternion\quaternion_copy.c">
-      <Filter>tests\quaternion</Filter>
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-      <Filter>tests\quaternion</Filter>
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-    </ClInclude>
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-    </ClInclude>
-    <ClInclude Include="tests\vector2\vector2_swap.h">
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basic-geometry/affine2.c

@@ -1,31 +1,31 @@
 #include "affine2.h"
 
-extern inline void bgc_fp32_affine2_reset(BGC_FP32_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_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_fp32_affine2_make(BGC_FP32_Affine2* affine, const BGC_FP32_Matrix2x2* distortion, const BGC_FP32_Vector2* shift);
-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_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_fp32_affine2_copy(BGC_FP32_Affine2* destination, const BGC_FP32_Affine2* source);
-extern inline void bgc_fp64_affine2_copy(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
+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_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_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(BGC_FP64_Affine2* destination, const BGC_FP32_Affine2* source);
-extern inline void bgc_fp32_affine2_convert_to_fp64(const BGC_FP32_Affine2 * source, BGC_FP64_Affine2 * destination);
+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_fp32_affine2_invert(BGC_FP32_Affine2* affine);
-extern inline int bgc_fp64_affine2_invert(BGC_FP64_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_fp32_affine2_get_inverse(BGC_FP32_Affine2* inverse, const BGC_FP32_Affine2* affine);
-extern inline int bgc_fp64_affine2_get_inverse(const BGC_FP64_Affine2 * source, BGC_FP64_Affine2 * destination);
+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_fp32_affine2_combine(BGC_FP32_Affine2* combination, const BGC_FP32_Affine2* first, const BGC_FP32_Affine2* second);
-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_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_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(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_point, BGC_FP64_Vector2 * transformed_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_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(const BGC_FP64_Affine2 * affine, const BGC_FP64_Vector2 * initial_vector, BGC_FP64_Vector2 * transformed_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);

basic-geometry/affine2.h

@@ -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_matrix2x2_copy(&affine->distortion, distortion);
-    bgc_fp32_vector2_copy(shift, &affine->shift);
+    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_matrix2x2_copy(&affine->distortion, distortion);
-    bgc_fp64_vector2_copy(shift, &affine->shift);
+    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_matrix2x2_copy(&destination->distortion, &source->distortion);
-    bgc_fp32_vector2_copy(&source->shift, &destination->shift);
+    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_matrix2x2_copy(&destination->distortion, &source->distortion);
-    bgc_fp64_vector2_copy(&source->shift, &destination->shift);
+    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_fp32_matrix2x2_convert_to_fp64(&destination->distortion, &source->distortion);
-    bgc_fp64_vector2_convert_to_fp32(&source->shift, &destination->shift);
+    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_fp64_matrix2x2_convert_to_fp32(&destination->distortion, &source->distortion);
-    bgc_fp32_vector2_convert_to_fp64(&source->shift, &destination->shift);
+    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_multiply_matrix2x2_by_vector2(&inverse->shift, &inverse->distortion, &affine->shift);
-    bgc_fp32_vector2_revert(&destination->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_multiply_matrix2x2_by_vector2(&inverse->shift, &inverse->distortion, &affine->shift);
-    bgc_fp64_vector2_revert(&destination->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_vector2(&first_shift, &second->distortion, &first->shift);
-    bgc_fp32_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
+    bgc_fp32_multiply_matrix2x2_by_matrix2x2(&combination->distortion, &second->distortion, &first->distortion);
-    bgc_fp32_vector2_add(&first_shift, &second->shift, &combination->shift);
+    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_vector2(&first_shift, &second->distortion, &first->shift);
-    bgc_fp64_multiply_matrix2x2_by_matrix2x2(&second->distortion, &first->distortion, &combination->distortion);
+    bgc_fp64_multiply_matrix2x2_by_matrix2x2(&combination->distortion, &second->distortion, &first->distortion);
-    bgc_fp64_vector2_add(&first_shift, &second->shift, &combination->shift);
+    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_multiply_matrix2x2_by_vector2(&distorted, &affine->distortion, initial_point);
-    bgc_fp32_vector2_add(&affine->shift, &distorted, transformed_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_multiply_matrix2x2_by_vector2(&distorted, &affine->distortion, initial_point);
-    bgc_fp64_vector2_add(&affine->shift, &distorted, transformed_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

basic-geometry/affine3.c

@@ -1,31 +1,31 @@
 #include "affine3.h"
 
-extern inline void bgc_fp32_affine3_reset(BGC_FP32_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_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_fp32_affine3_make(BGC_FP32_Affine3* affine, const BGC_FP32_Matrix3x3* distortion, const BGC_FP32_Vector3* shift);
-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_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_fp32_affine3_copy(BGC_FP32_Affine3* destination, const BGC_FP32_Affine3* source);
-extern inline void bgc_fp64_affine3_copy(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
+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_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_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(BGC_FP64_Affine3* destination, const BGC_FP32_Affine3* source);
-extern inline void bgc_fp32_affine3_convert_to_fp64(const BGC_FP32_Affine3 * source, BGC_FP64_Affine3 * destination);
+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_fp32_affine3_invert(BGC_FP32_Affine3* affine);
-extern inline int bgc_fp64_affine3_invert(BGC_FP64_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_fp32_affine3_get_inverse(BGC_FP32_Affine3* inverse, const BGC_FP32_Affine3* affine);
-extern inline int bgc_fp64_affine3_get_inverse(const BGC_FP64_Affine3 * source, BGC_FP64_Affine3 * destination);
+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_fp32_affine3_combine(BGC_FP32_Affine3* combination, const BGC_FP32_Affine3* first, const BGC_FP32_Affine3* second);
-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_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_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(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_point, BGC_FP64_Vector3 * transformed_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_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(const BGC_FP64_Affine3 * affine, const BGC_FP64_Vector3 * initial_vector, BGC_FP64_Vector3 * transformed_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);

basic-geometry/affine3.h

@@ -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_matrix3x3_copy(&affine->distortion, distortion);
-    bgc_fp32_vector3_copy(shift, &affine->shift);
+    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_matrix3x3_copy(&affine->distortion, distortion);
-    bgc_fp64_vector3_copy(shift, &affine->shift);
+    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_matrix3x3_copy(&destination->distortion, &source->distortion);
-    bgc_fp32_vector3_copy(&source->shift, &destination->shift);
+    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_matrix3x3_copy(&destination->distortion, &source->distortion);
-    bgc_fp64_vector3_copy(&source->shift, &destination->shift);
+    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_matrix3x3_swap(&first->distortion, &second->distortion);
-    bgc_fp32_vector3_copy(&first->shift, &second->shift);
+    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_matrix3x3_swap(&first->distortion, &second->distortion);
-    bgc_fp64_vector3_copy(&first->shift, &second->shift);
+    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_fp32_matrix3x3_convert_to_fp64(&destination->distortion, &source->distortion);
-    bgc_fp64_vector3_convert_to_fp32(&source->shift, &destination->shift);
+    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_fp64_matrix3x3_convert_to_fp32(&destination->distortion, &source->distortion);
-    bgc_fp32_vector3_convert_to_fp64(&source->shift, &destination->shift);
+    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_vector3(&first_shift, &second->distortion, &first->shift);
-    bgc_fp32_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
+    bgc_fp32_multiply_matrix3x3_by_matrix3x3(&combination->distortion, &second->distortion, &first->distortion);
-    bgc_fp32_vector3_add(&first_shift, &second->shift, &combination->shift);
+    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_vector3(&first_shift, &second->distortion, &first->shift);
-    bgc_fp64_multiply_matrix3x3_by_matrix3x3(&second->distortion, &first->distortion, &combination->distortion);
+    bgc_fp64_multiply_matrix3x3_by_matrix3x3(&combination->distortion, &second->distortion, &first->distortion);
-    bgc_fp64_vector3_add(&first_shift, &second->shift, &combination->shift);
+    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_multiply_matrix3x3_by_vector3(&distorted, &affine->distortion, initial_point);
-    bgc_fp32_vector3_add(&affine->shift, &distorted, transformed_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_multiply_matrix3x3_by_vector3(&distorted, &affine->distortion, initial_point);
-    bgc_fp64_vector3_add(&affine->shift, &distorted, transformed_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

basic-geometry/basic-geometry.h

@@ -8,14 +8,14 @@
 #include "./vector2.h"
 #include "./vector3.h"
 
-#include "./matrixes.h"
+#include "./matrices.h"
 #include "./matrix2x2.h"
 #include "./matrix2x3.h"
 #include "./matrix3x2.h"
 #include "./matrix3x3.h"
-
+
-#include "./affine2.h"
+#include "./affine2.h"
-#include "./affine3.h"
+#include "./affine3.h"
 
 #include "./complex.h"
 #include "./cotes-number.h"
@@ -25,8 +25,8 @@
 #include "./quaternion.h"
 #include "./versor.h"
 #include "./slerp.h"
-
+
-#include "./position2.h"
+#include "./position2.h"
-#include "./position3.h"
+#include "./position3.h"
 
 #endif

basic-geometry/basic-geometry.vcxproj

@@ -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" />

basic-geometry/basic-geometry.vcxproj.filters

@@ -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">

basic-geometry/complex.c

@@ -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_fp32_complex_make(BGC_FP32_Complex* complex, const float real, const float imaginary);
-extern inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex);
+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_fp32_complex_copy(BGC_FP32_Complex* destination, const BGC_FP32_Complex* source);
-extern inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination);
+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_fp64_complex_convert_to_fp32(BGC_FP32_Complex* destination, const BGC_FP64_Complex* source);
-extern inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination);
+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_fp32_complex_get_reverse(BGC_FP32_Complex* reverse, const BGC_FP32_Complex* number);
-extern inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite);
+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_fp32_complex_get_normalized(BGC_FP32_Complex* normalized, const BGC_FP32_Complex* number);
-extern inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized);
+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_fp32_complex_get_conjugate(BGC_FP32_Complex* conjugate, const BGC_FP32_Complex* number);
-extern inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate);
+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_fp32_complex_get_inverse(BGC_FP32_Complex* inverse, const BGC_FP32_Complex* number);
-extern inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse);
+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_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(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product);
+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_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(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient);
+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_fp32_complex_add(BGC_FP32_Complex* sum, const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
-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_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_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(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum);
+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_fp32_complex_subtract(BGC_FP32_Complex* difference, const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend);
-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_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_fp32_complex_multiply(BGC_FP32_Complex* product, const BGC_FP32_Complex* multiplicand, const float multiplier);
-extern inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product);
+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_fp32_complex_divide(BGC_FP32_Complex* quotient, const BGC_FP32_Complex* dividend, const float divisor);
-extern inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient);
+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_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(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean);
+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_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(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean);
+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_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(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation);
+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);
 

basic-geometry/complex.h

@@ -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;
+    reverse->real = -number->real;
-    opposite->imaginary = -number->imaginary;
+    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;
+    reverse->real = -number->real;
-    opposite->imaginary = -number->imaginary;
+    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;
 

basic-geometry/cotes-number.c

@@ -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_fp32_cotes_number_make(BGC_FP32_CotesNumber* number, const float x1, const float x2);
-extern inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number);
+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_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(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number);
+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_fp32_cotes_number_copy(BGC_FP32_CotesNumber* destination, const BGC_FP32_CotesNumber* source);
-extern inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination);
+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_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(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination);
+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_fp32_cotes_number_get_reverse(BGC_FP32_CotesNumber* reverse, const BGC_FP32_CotesNumber* number);
-extern inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse);
+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_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(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power);
+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_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(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result);
+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_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(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference);
+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_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(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
+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_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(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);
+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_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(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
+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_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(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);
+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);

basic-geometry/cotes-number.h

@@ -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;
+    reverse->_cos = number->_cos;
-    inverse->_sin = -number->_sin;
+    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;
+    reverse->_cos = number->_cos;
-    inverse->_sin = -number->_sin;
+    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,
+        number1->_cos * number2->_sin + number1->_sin * number2->_cos
-        result
     );
 }
 
-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,
+        number1->_cos * number2->_sin + number1->_sin * number2->_cos
-        result
     );
 }
 
 // ================= 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,
+        base->_sin * excludant->_cos - base->_cos * excludant->_sin
-        difference
     );
 }
 
-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,
+        base->_sin * excludant->_cos - base->_cos * excludant->_sin
-        difference
     );
 }
 
 // ============== 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;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    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;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    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;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    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;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    turned_vector->x2 = x2;
 }
 
 // ================== Are Close ================= //

basic-geometry/matrices.c

@@ -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);

basic-geometry/matrices.h

@@ -1,5 +1,5 @@
-#ifndef _BGC_MATRIX_TYPES_H_
+#ifndef _BGC_MATRICES_H_
-#define _BGC_MATRIX_TYPES_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;

basic-geometry/matrix2x2.c

@@ -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_fp32_matrix2x2_make_diagonal(BGC_FP32_Matrix2x2* matrix, const float d1, const float d2);
-extern inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, BGC_FP64_Matrix2x2* matrix);
+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_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(const double angle, const int angle_unit, BGC_FP64_Matrix2x2* matrix);
+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_fp32_matrix2x2_copy(BGC_FP32_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source);
-extern inline void bgc_fp64_matrix2x2_copy(const BGC_FP64_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
+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_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source);
-extern inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source, BGC_FP64_Matrix2x2* destination);
+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_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* inverse, const BGC_FP32_Matrix2x2* matrix);
-extern inline int bgc_fp64_matrix2x2_get_inverse(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* inverse);
+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_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* transposed, const BGC_FP32_Matrix2x2* matrix);
-extern inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* transposed);
+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_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(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* row);
+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_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(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x2* matrix);
+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_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(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* column);
+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_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(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix2x2* matrix);
+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_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2);
-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_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_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(const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale, BGC_FP64_Matrix2x2* sum);
+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_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* difference, const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend);
-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_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_fp32_matrix2x2_multiply(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* multiplicand, const float multiplier);
-extern inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand, const double multiplier, BGC_FP64_Matrix2x2* product);
+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_fp32_matrix2x2_divide(BGC_FP32_Matrix2x2* quotient, const BGC_FP32_Matrix2x2* dividend, const float divisor);
-extern inline void bgc_fp64_matrix2x2_divide(const BGC_FP64_Matrix2x2* dividend, const double divisor, BGC_FP64_Matrix2x2* quotient);
+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_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(const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase, BGC_FP64_Matrix2x2* interpolation);
+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_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(const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* product);
+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_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(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* product);
+extern inline void bgc_fp64_multiply_vector2_by_matrix2x2(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix);

basic-geometry/matrix2x2.h

@@ -3,7 +3,7 @@
 
 #include "angle.h"
 #include "vector2.h"
-#include "matrixes.h"
+#include "matrices.h"
 
 // =================== Reset ==================== //
 
@@ -43,7 +43,7 @@ inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* matrix)
 
 // ================ Set Diagonal ================ //
 
-inline void bgc_fp32_matrix2x2_make_diagonal(const float d1, const float d2, BGC_FP32_Matrix2x2* matrix)
+inline void bgc_fp32_matrix2x2_make_diagonal(BGC_FP32_Matrix2x2* matrix, const float d1, const float d2)
 {
     matrix->r1c1 = d1;
     matrix->r1c2 = 0.0f;
@@ -51,7 +51,7 @@ inline void bgc_fp32_matrix2x2_make_diagonal(const float d1, const float d2, BGC
     matrix->r2c2 = d2;
 }
 
-inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, BGC_FP64_Matrix2x2* matrix)
+inline void bgc_fp64_matrix2x2_make_diagonal(BGC_FP64_Matrix2x2* matrix, const double d1, const double d2)
 {
     matrix->r1c1 = d1;
     matrix->r1c2 = 0.0;
@@ -61,7 +61,7 @@ inline void bgc_fp64_matrix2x2_make_diagonal(const double d1, const double d2, B
 
 // ============== Rotation Matrix =============== //
 
-inline void bgc_fp32_matrix2x2_make_for_turn(const float angle, const int angle_unit, BGC_FP32_Matrix2x2* matrix)
+inline void bgc_fp32_matrix2x2_make_for_turn(BGC_FP32_Matrix2x2* matrix, const float angle, const int angle_unit)
 {
     const float radians = bgc_fp32_angle_to_radians(angle, angle_unit);
     const float cosine = cosf(radians);
@@ -73,7 +73,7 @@ inline void bgc_fp32_matrix2x2_make_for_turn(const float angle, const int angle_
     matrix->r2c2 = cosine;
 }
 
-inline void bgc_fp64_matrix2x2_make_for_turn(const double angle, const int angle_unit, BGC_FP64_Matrix2x2* matrix)
+inline void bgc_fp64_matrix2x2_make_for_turn(BGC_FP64_Matrix2x2* matrix, const double angle, const int angle_unit)
 {
     const double radians = bgc_fp64_angle_to_radians(angle, angle_unit);
     const double cosine = cos(radians);
@@ -153,7 +153,7 @@ inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* matrix)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_matrix2x2_copy(const BGC_FP32_Matrix2x2* source, BGC_FP32_Matrix2x2* destination)
+inline void bgc_fp32_matrix2x2_copy(BGC_FP32_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -162,7 +162,7 @@ inline void bgc_fp32_matrix2x2_copy(const BGC_FP32_Matrix2x2* source, BGC_FP32_M
     destination->r2c2 = source->r2c2;
 }
 
-inline void bgc_fp64_matrix2x2_copy(const BGC_FP64_Matrix2x2* source, BGC_FP64_Matrix2x2* destination)
+inline void bgc_fp64_matrix2x2_copy(BGC_FP64_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -217,7 +217,7 @@ inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* matrix1, BGC_FP64_Matrix
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_matrix2x2_convert_to_fp32(const BGC_FP64_Matrix2x2* source, BGC_FP32_Matrix2x2* destination)
+inline void bgc_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source)
 {
     destination->r1c1 = (float)source->r1c1;
     destination->r1c2 = (float)source->r1c2;
@@ -226,7 +226,7 @@ inline void bgc_fp64_matrix2x2_convert_to_fp32(const BGC_FP64_Matrix2x2* source,
     destination->r2c2 = (float)source->r2c2;
 }
 
-inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source, BGC_FP64_Matrix2x2* destination)
+inline void bgc_fp32_matrix2x2_convert_to_fp64(BGC_FP64_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -237,7 +237,7 @@ inline void bgc_fp32_matrix2x2_convert_to_fp64(const BGC_FP32_Matrix2x2* source,
 
 // ================ Get Inverse ================= //
 
-inline int bgc_fp32_matrix2x2_get_inverse(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* inverse)
+inline int bgc_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* inverse, const BGC_FP32_Matrix2x2* matrix)
 {
     const float determinant = bgc_fp32_matrix2x2_get_determinant(matrix);
 
@@ -262,7 +262,7 @@ inline int bgc_fp32_matrix2x2_get_inverse(const BGC_FP32_Matrix2x2* matrix, BGC_
     return 1;
 }
 
-inline int bgc_fp64_matrix2x2_get_inverse(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* inverse)
+inline int bgc_fp64_matrix2x2_get_inverse(BGC_FP64_Matrix2x2* inverse, const BGC_FP64_Matrix2x2* matrix)
 {
     const double determinant = bgc_fp64_matrix2x2_get_determinant(matrix);
 
@@ -317,7 +317,7 @@ inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* matrix)
 
 // =============== Get Transpose ================ //
 
-inline void bgc_fp32_matrix2x2_get_transposed(const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Matrix2x2* transposed)
+inline void bgc_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* transposed, const BGC_FP32_Matrix2x2* matrix)
 {
     const float r1c2 = matrix->r1c2;
 
@@ -328,7 +328,7 @@ inline void bgc_fp32_matrix2x2_get_transposed(const BGC_FP32_Matrix2x2* matrix,
     transposed->r2c2 = matrix->r2c2;
 }
 
-inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Matrix2x2* transposed)
+inline void bgc_fp64_matrix2x2_get_transposed(BGC_FP64_Matrix2x2* transposed, const BGC_FP64_Matrix2x2* matrix)
 {
     const double r1c2 = matrix->r1c2;
 
@@ -341,15 +341,15 @@ inline void bgc_fp64_matrix2x2_get_transposed(const BGC_FP64_Matrix2x2* matrix,
 
 // ================== Get Row =================== //
 
-inline void bgc_fp32_matrix2x2_get_row(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* row)
+inline void bgc_fp32_matrix2x2_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x2* matrix, const int row_number)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
         return;
@@ -359,15 +359,15 @@ inline void bgc_fp32_matrix2x2_get_row(const int number, const BGC_FP32_Matrix2x
     row->x2 = 0.0f;
 }
 
-inline void bgc_fp64_matrix2x2_get_row(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* row)
+inline void bgc_fp64_matrix2x2_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x2* matrix, const int row_number)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
         return;
@@ -379,29 +379,29 @@ inline void bgc_fp64_matrix2x2_get_row(const int number, const BGC_FP64_Matrix2x
 
 // ================== Set Row =================== //
 
-inline void bgc_fp32_matrix2x2_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x2* matrix)
+inline void bgc_fp32_matrix2x2_set_row(BGC_FP32_Matrix2x2* matrix, const int row_number, const BGC_FP32_Vector2* row)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
     }
 }
 
-inline void bgc_fp64_matrix2x2_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x2* matrix)
+inline void bgc_fp64_matrix2x2_set_row(BGC_FP64_Matrix2x2* matrix, const int row_number, const BGC_FP64_Vector2* row)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
     }
@@ -409,15 +409,15 @@ inline void bgc_fp64_matrix2x2_set_row(const int number, const BGC_FP64_Vector2*
 
 // ================= Get Column ================= //
 
-inline void bgc_fp32_matrix2x2_get_column(const int number, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* column)
+inline void bgc_fp32_matrix2x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix2x2* matrix, const int column_number)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         return;
@@ -427,15 +427,15 @@ inline void bgc_fp32_matrix2x2_get_column(const int number, const BGC_FP32_Matri
     column->x2 = 0.0f;
 }
 
-inline void bgc_fp64_matrix2x2_get_column(const int number, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* column)
+inline void bgc_fp64_matrix2x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix2x2* matrix, const int column_number)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         return;
@@ -447,29 +447,29 @@ inline void bgc_fp64_matrix2x2_get_column(const int number, const BGC_FP64_Matri
 
 // ================= Set Column ================= //
 
-inline void bgc_fp32_matrix2x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix2x2* matrix)
+inline void bgc_fp32_matrix2x2_set_column(BGC_FP32_Matrix2x2* matrix, const int column_number, const BGC_FP32_Vector2* column)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
     }
 }
 
-inline void bgc_fp64_matrix2x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix2x2* matrix)
+inline void bgc_fp64_matrix2x2_set_column(BGC_FP64_Matrix2x2* matrix, const int column_number, const BGC_FP64_Vector2* column)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
     }
@@ -477,7 +477,7 @@ inline void bgc_fp64_matrix2x2_set_column(const int number, const BGC_FP64_Vecto
 
 // ==================== Add ===================== //
 
-inline void bgc_fp32_matrix2x2_add(const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2, BGC_FP32_Matrix2x2* sum)
+inline void bgc_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -486,7 +486,7 @@ inline void bgc_fp32_matrix2x2_add(const BGC_FP32_Matrix2x2* matrix1, const BGC_
     sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
 }
 
-inline void bgc_fp64_matrix2x2_add(const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2, BGC_FP64_Matrix2x2* sum)
+inline void bgc_fp64_matrix2x2_add(BGC_FP64_Matrix2x2* sum, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -497,7 +497,7 @@ inline void bgc_fp64_matrix2x2_add(const BGC_FP64_Matrix2x2* matrix1, const BGC_
 
 // ================= Add scaled ================= //
 
-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)
+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)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -506,7 +506,7 @@ inline void bgc_fp32_matrix2x2_add_scaled(const BGC_FP32_Matrix2x2* basic_matrix
     sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
 }
 
-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)
+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)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -517,7 +517,7 @@ inline void bgc_fp64_matrix2x2_add_scaled(const BGC_FP64_Matrix2x2* basic_matrix
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_matrix2x2_subtract(const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend, BGC_FP32_Matrix2x2* difference)
+inline void bgc_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* difference, const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -526,7 +526,7 @@ inline void bgc_fp32_matrix2x2_subtract(const BGC_FP32_Matrix2x2* minuend, const
     difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
 }
 
-inline void bgc_fp64_matrix2x2_subtract(const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend, BGC_FP64_Matrix2x2* difference)
+inline void bgc_fp64_matrix2x2_subtract(BGC_FP64_Matrix2x2* difference, const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -537,7 +537,7 @@ inline void bgc_fp64_matrix2x2_subtract(const BGC_FP64_Matrix2x2* minuend, const
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_matrix2x2_multiply(const BGC_FP32_Matrix2x2* multiplicand, const float multiplier, BGC_FP32_Matrix2x2* product)
+inline void bgc_fp32_matrix2x2_multiply(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* multiplicand, const float multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -546,7 +546,7 @@ inline void bgc_fp32_matrix2x2_multiply(const BGC_FP32_Matrix2x2* multiplicand,
     product->r2c2 = multiplicand->r2c2 * multiplier;
 }
 
-inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand, const double multiplier, BGC_FP64_Matrix2x2* product)
+inline void bgc_fp64_matrix2x2_multiply(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix2x2* multiplicand, const double multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -557,19 +557,19 @@ inline void bgc_fp64_matrix2x2_multiply(const BGC_FP64_Matrix2x2* multiplicand,
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_matrix2x2_divide(const BGC_FP32_Matrix2x2* dividend, const float divisor, BGC_FP32_Matrix2x2* quotient)
+inline void bgc_fp32_matrix2x2_divide(BGC_FP32_Matrix2x2* quotient, const BGC_FP32_Matrix2x2* dividend, const float divisor)
 {
-    bgc_fp32_matrix2x2_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_matrix2x2_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_matrix2x2_divide(const BGC_FP64_Matrix2x2* dividend, const double divisor, BGC_FP64_Matrix2x2* quotient)
+inline void bgc_fp64_matrix2x2_divide(BGC_FP64_Matrix2x2* quotient, const BGC_FP64_Matrix2x2* dividend, const double divisor)
 {
-    bgc_fp64_matrix2x2_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_matrix2x2_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Interpolate ================= //
 
-inline void bgc_fp32_matrix2x2_interpolate(const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase, BGC_FP32_Matrix2x2* interpolation)
+inline void bgc_fp32_matrix2x2_interpolate(BGC_FP32_Matrix2x2* interpolation, const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase)
 {
     const float counter_phase = 1.0f - phase;
 
@@ -580,7 +580,7 @@ inline void bgc_fp32_matrix2x2_interpolate(const BGC_FP32_Matrix2x2* first, cons
     interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
 }
 
-inline void bgc_fp64_matrix2x2_interpolate(const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase, BGC_FP64_Matrix2x2* interpolation)
+inline void bgc_fp64_matrix2x2_interpolate(BGC_FP64_Matrix2x2* interpolation, const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase)
 {
     const double counter_phase = 1.0 - phase;
 
@@ -593,7 +593,7 @@ inline void bgc_fp64_matrix2x2_interpolate(const BGC_FP64_Matrix2x2* first, cons
 
 // ============ Right Vector Product ============ //
 
-inline void bgc_fp32_multiply_matrix2x2_by_vector2(const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* product)
+inline void bgc_fp32_multiply_matrix2x2_by_vector2(BGC_FP32_Vector2* product, const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector)
 {
     const float x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
     const float x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
@@ -602,7 +602,7 @@ inline void bgc_fp32_multiply_matrix2x2_by_vector2(const BGC_FP32_Matrix2x2* mat
     product->x2 = x2;
 }
 
-inline void bgc_fp64_multiply_matrix2x2_by_vector2(const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* product)
+inline void bgc_fp64_multiply_matrix2x2_by_vector2(BGC_FP64_Vector2* product, const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector)
 {
     const double x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
     const double x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
@@ -613,7 +613,7 @@ inline void bgc_fp64_multiply_matrix2x2_by_vector2(const BGC_FP64_Matrix2x2* mat
 
 // ============ Left Vector Product ============= //
 
-inline void bgc_fp32_multiply_vector2_by_matrix2x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix, BGC_FP32_Vector2* product)
+inline void bgc_fp32_multiply_vector2_by_matrix2x2(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix)
 {
     const float x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
     const float x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
@@ -622,7 +622,7 @@ inline void bgc_fp32_multiply_vector2_by_matrix2x2(const BGC_FP32_Vector2* vecto
     product->x2 = x2;
 }
 
-inline void bgc_fp64_multiply_vector2_by_matrix2x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix, BGC_FP64_Vector2* product)
+inline void bgc_fp64_multiply_vector2_by_matrix2x2(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix)
 {
     const double x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
     const double x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;

basic-geometry/matrix2x3.c

@@ -3,50 +3,50 @@
 extern inline void bgc_fp32_matrix2x3_reset(BGC_FP32_Matrix2x3* matrix);
 extern inline void bgc_fp64_matrix2x3_reset(BGC_FP64_Matrix2x3* matrix);
 
-extern inline void bgc_fp32_matrix2x3_copy(const BGC_FP32_Matrix2x3* source, BGC_FP32_Matrix2x3* destination);
+extern inline void bgc_fp32_matrix2x3_copy(BGC_FP32_Matrix2x3* destination, const BGC_FP32_Matrix2x3* source);
-extern inline void bgc_fp64_matrix2x3_copy(const BGC_FP64_Matrix2x3* source, BGC_FP64_Matrix2x3* destination);
+extern inline void bgc_fp64_matrix2x3_copy(BGC_FP64_Matrix2x3* destination, const BGC_FP64_Matrix2x3* source);
 
 extern inline void bgc_fp32_matrix2x3_swap(BGC_FP32_Matrix2x3* matrix1, BGC_FP32_Matrix2x3* matrix2);
 extern inline void bgc_fp64_matrix2x3_swap(BGC_FP64_Matrix2x3* matrix1, BGC_FP64_Matrix2x3* matrix2);
 
-extern inline void bgc_fp64_matrix2x3_convert_to_fp32(const BGC_FP64_Matrix2x3* source, BGC_FP32_Matrix2x3* destination);
+extern inline void bgc_fp32_matrix2x3_convert_to_fp64(BGC_FP64_Matrix2x3* destination, const BGC_FP32_Matrix2x3* source);
-extern inline void bgc_fp32_matrix2x3_convert_to_fp64(const BGC_FP32_Matrix2x3* source, BGC_FP64_Matrix2x3* destination);
+extern inline void bgc_fp64_matrix2x3_convert_to_fp32(BGC_FP32_Matrix2x3* destination, const BGC_FP64_Matrix2x3* source);
 
-extern inline void bgc_fp32_matrix2x3_get_transposed(const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Matrix2x3* transposed);
+extern inline void bgc_fp32_matrix2x3_get_transposed(BGC_FP32_Matrix2x3* transposed, const BGC_FP32_Matrix3x2* matrix);
-extern inline void bgc_fp64_matrix2x3_get_transposed(const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Matrix2x3* transposed);
+extern inline void bgc_fp64_matrix2x3_get_transposed(BGC_FP64_Matrix2x3* transposed, const BGC_FP64_Matrix3x2* matrix);
 
-extern inline void bgc_fp32_matrix2x3_get_row(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* row);
+extern inline void bgc_fp32_matrix2x3_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x3* matrix, const int row_number);
-extern inline void bgc_fp64_matrix2x3_get_row(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* row);
+extern inline void bgc_fp64_matrix2x3_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x3* matrix, const int row_number);
 
-extern inline void bgc_fp32_matrix2x3_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x3* matrix);
+extern inline void bgc_fp32_matrix2x3_set_row(BGC_FP32_Matrix2x3* matrix, const int row_number, const BGC_FP32_Vector2* row);
-extern inline void bgc_fp64_matrix2x3_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x3* matrix);
+extern inline void bgc_fp64_matrix2x3_set_row(BGC_FP64_Matrix2x3* matrix, const int row_number, const BGC_FP64_Vector2* row);
 
-extern inline void bgc_fp32_matrix2x3_get_column(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector3* column);
+extern inline void bgc_fp32_matrix2x3_get_column(BGC_FP32_Vector3* column, const BGC_FP32_Matrix2x3* matrix, const int column_number);
-extern inline void bgc_fp64_matrix2x3_get_column(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector3* column);
+extern inline void bgc_fp64_matrix2x3_get_column(BGC_FP64_Vector3* column, const BGC_FP64_Matrix2x3* matrix, const int column_number);
 
-extern inline void bgc_fp32_matrix2x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix2x3* matrix);
+extern inline void bgc_fp32_matrix2x3_set_column(BGC_FP32_Matrix2x3* matrix, const int number, const BGC_FP32_Vector3* column);
-extern inline void bgc_fp64_matrix2x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix2x3* matrix);
+extern inline void bgc_fp64_matrix2x3_set_column(BGC_FP64_Matrix2x3* matrix, const int number, const BGC_FP64_Vector3* column);
 
-extern inline void bgc_fp32_matrix2x3_add(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* sum);
+extern inline void bgc_fp32_matrix2x3_add(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2);
-extern inline void bgc_fp64_matrix2x3_add(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* sum);
+extern inline void bgc_fp64_matrix2x3_add(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2);
 
-extern inline void bgc_fp32_matrix2x3_add_scaled(const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale, BGC_FP32_Matrix2x3* sum);
+extern inline void bgc_fp32_matrix2x3_add_scaled(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale);
-extern inline void bgc_fp64_matrix2x3_add_scaled(const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale, BGC_FP64_Matrix2x3* sum);
+extern inline void bgc_fp64_matrix2x3_add_scaled(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale);
 
-extern inline void bgc_fp32_matrix2x3_subtract(const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend, BGC_FP32_Matrix2x3* difference);
+extern inline void bgc_fp32_matrix2x3_subtract(BGC_FP32_Matrix2x3* difference, const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend);
-extern inline void bgc_fp64_matrix2x3_subtract(const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend, BGC_FP64_Matrix2x3* difference);
+extern inline void bgc_fp64_matrix2x3_subtract(BGC_FP64_Matrix2x3* difference, const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend);
 
-extern inline void bgc_fp32_matrix2x3_multiply(const BGC_FP32_Matrix2x3* multiplicand, const float multiplier, BGC_FP32_Matrix2x3* product);
+extern inline void bgc_fp32_matrix2x3_multiply(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix2x3* multiplicand, const float multiplier);
-extern inline void bgc_fp64_matrix2x3_multiply(const BGC_FP64_Matrix2x3* multiplicand, const double multiplier, BGC_FP64_Matrix2x3* product);
+extern inline void bgc_fp64_matrix2x3_multiply(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix2x3* multiplicand, const double multiplier);
 
-extern inline void bgc_fp32_matrix2x3_divide(const BGC_FP32_Matrix2x3* dividend, const float divisor, BGC_FP32_Matrix2x3* quotient);
+extern inline void bgc_fp32_matrix2x3_divide(BGC_FP32_Matrix2x3* quotient, const BGC_FP32_Matrix2x3* dividend, const float divisor);
-extern inline void bgc_fp64_matrix2x3_divide(const BGC_FP64_Matrix2x3* dividend, const double divisor, BGC_FP64_Matrix2x3* quotient);
+extern inline void bgc_fp64_matrix2x3_divide(BGC_FP64_Matrix2x3* quotient, const BGC_FP64_Matrix2x3* dividend, const double divisor);
 
-extern inline void bgc_fp32_matrix2x3_interpolate(const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase, BGC_FP32_Matrix2x3* interpolation);
+extern inline void bgc_fp32_matrix2x3_interpolate(BGC_FP32_Matrix2x3* interpolation, const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase);
-extern inline void bgc_fp64_matrix2x3_interpolate(const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase, BGC_FP64_Matrix2x3* interpolation);
+extern inline void bgc_fp64_matrix2x3_interpolate(BGC_FP64_Matrix2x3* interpolation, const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase);
 
-extern inline void bgc_fp32_multiply_vector3_by_matrix2x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* product);
+extern inline void bgc_fp32_multiply_vector3_by_matrix2x3(BGC_FP32_Vector2* product, const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix);
-extern inline void bgc_fp64_multiply_vector3_by_matrix2x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* product);
+extern inline void bgc_fp64_multiply_vector3_by_matrix2x3(BGC_FP64_Vector2* product, const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix);
 
-extern inline void bgc_fp32_multiply_matrix2x3_by_vector2(const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector3* product);
+extern inline void bgc_fp32_multiply_matrix2x3_by_vector2(BGC_FP32_Vector3* product, const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector);
-extern inline void bgc_fp64_multiply_matrix2x3_by_vector2(const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector3* product);
+extern inline void bgc_fp64_multiply_matrix2x3_by_vector2(BGC_FP64_Vector3* product, const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector);

basic-geometry/matrix2x3.h

@@ -3,7 +3,7 @@
 
 #include "vector2.h"
 #include "vector3.h"
-#include "matrixes.h"
+#include "matrices.h"
 
 // =================== Reset ==================== //
 
@@ -33,7 +33,7 @@ inline void bgc_fp64_matrix2x3_reset(BGC_FP64_Matrix2x3* matrix)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_matrix2x3_copy(const BGC_FP32_Matrix2x3* source, BGC_FP32_Matrix2x3* destination)
+inline void bgc_fp32_matrix2x3_copy(BGC_FP32_Matrix2x3* destination, const BGC_FP32_Matrix2x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -45,7 +45,7 @@ inline void bgc_fp32_matrix2x3_copy(const BGC_FP32_Matrix2x3* source, BGC_FP32_M
     destination->r3c2 = source->r3c2;
 }
 
-inline void bgc_fp64_matrix2x3_copy(const BGC_FP64_Matrix2x3* source, BGC_FP64_Matrix2x3* destination)
+inline void bgc_fp64_matrix2x3_copy(BGC_FP64_Matrix2x3* destination, const BGC_FP64_Matrix2x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -121,7 +121,7 @@ inline void bgc_fp64_matrix2x3_swap(BGC_FP64_Matrix2x3* matrix1, BGC_FP64_Matrix
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_matrix2x3_convert_to_fp32(const BGC_FP64_Matrix2x3* source, BGC_FP32_Matrix2x3* destination)
+inline void bgc_fp64_matrix2x3_convert_to_fp32(BGC_FP32_Matrix2x3* destination, const BGC_FP64_Matrix2x3* source)
 {
     destination->r1c1 = (float)source->r1c1;
     destination->r1c2 = (float)source->r1c2;
@@ -133,7 +133,7 @@ inline void bgc_fp64_matrix2x3_convert_to_fp32(const BGC_FP64_Matrix2x3* source,
     destination->r3c2 = (float)source->r3c2;
 }
 
-inline void bgc_fp32_matrix2x3_convert_to_fp64(const BGC_FP32_Matrix2x3* source, BGC_FP64_Matrix2x3* destination)
+inline void bgc_fp32_matrix2x3_convert_to_fp64(BGC_FP64_Matrix2x3* destination, const BGC_FP32_Matrix2x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -147,7 +147,7 @@ inline void bgc_fp32_matrix2x3_convert_to_fp64(const BGC_FP32_Matrix2x3* source,
 
 // ================= Transpose ================== //
 
-inline void bgc_fp32_matrix2x3_get_transposed(const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Matrix2x3* transposed)
+inline void bgc_fp32_matrix2x3_get_transposed(BGC_FP32_Matrix2x3* transposed, const BGC_FP32_Matrix3x2* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r1c2 = matrix->r2c1;
@@ -159,7 +159,7 @@ inline void bgc_fp32_matrix2x3_get_transposed(const BGC_FP32_Matrix3x2* matrix,
     transposed->r3c2 = matrix->r2c3;
 }
 
-inline void bgc_fp64_matrix2x3_get_transposed(const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Matrix2x3* transposed)
+inline void bgc_fp64_matrix2x3_get_transposed(BGC_FP64_Matrix2x3* transposed, const BGC_FP64_Matrix3x2* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r1c2 = matrix->r2c1;
@@ -173,21 +173,21 @@ inline void bgc_fp64_matrix2x3_get_transposed(const BGC_FP64_Matrix3x2* matrix,
 
 // ================== Get Row =================== //
 
-inline void bgc_fp32_matrix2x3_get_row(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* row)
+inline void bgc_fp32_matrix2x3_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x3* matrix, const int row_number)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
         return;
     }
 
-    if (number == 3) {
+    if (row_number == 3) {
         row->x1 = matrix->r3c1;
         row->x2 = matrix->r3c2;
         return;
@@ -197,21 +197,21 @@ inline void bgc_fp32_matrix2x3_get_row(const int number, const BGC_FP32_Matrix2x
     row->x2 = 0.0f;
 }
 
-inline void bgc_fp64_matrix2x3_get_row(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* row)
+inline void bgc_fp64_matrix2x3_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x3* matrix, const int row_number)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
         return;
     }
 
-    if (number == 3) {
+    if (row_number == 3) {
         row->x1 = matrix->r3c1;
         row->x2 = matrix->r3c2;
         return;
@@ -223,41 +223,41 @@ inline void bgc_fp64_matrix2x3_get_row(const int number, const BGC_FP64_Matrix2x
 
 // ================== Set Row =================== //
 
-inline void bgc_fp32_matrix2x3_set_row(const int number, const BGC_FP32_Vector2* row, BGC_FP32_Matrix2x3* matrix)
+inline void bgc_fp32_matrix2x3_set_row(BGC_FP32_Matrix2x3* matrix, const int row_number, const BGC_FP32_Vector2* row)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
         return;
     }
 
-    if (number == 3) {
+    if (row_number == 3) {
         matrix->r3c1 = row->x1;
         matrix->r3c2 = row->x2;
     }
 }
 
-inline void bgc_fp64_matrix2x3_set_row(const int number, const BGC_FP64_Vector2* row, BGC_FP64_Matrix2x3* matrix)
+inline void bgc_fp64_matrix2x3_set_row(BGC_FP64_Matrix2x3* matrix, const int row_number, const BGC_FP64_Vector2* row)
 {
-    if (number == 1) {
+    if (row_number == 1) {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
         return;
     }
 
-    if (number == 2) {
+    if (row_number == 2) {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
         return;
     }
 
-    if (number == 3) {
+    if (row_number == 3) {
         matrix->r3c1 = row->x1;
         matrix->r3c2 = row->x2;
     }
@@ -265,32 +265,32 @@ inline void bgc_fp64_matrix2x3_set_row(const int number, const BGC_FP64_Vector2*
 
 // ================= Get Column ================= //
 
-inline void bgc_fp32_matrix2x3_get_column(const int number, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector3* column)
+inline void bgc_fp32_matrix2x3_get_column(BGC_FP32_Vector3* column, const BGC_FP32_Matrix2x3* matrix, const int column_number)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         column->x3 = matrix->r3c1;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         column->x3 = matrix->r3c2;
     }
 }
 
-inline void bgc_fp64_matrix2x3_get_column(const int number, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector3* column)
+inline void bgc_fp64_matrix2x3_get_column(BGC_FP64_Vector3* column, const BGC_FP64_Matrix2x3* matrix, const int column_number)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         column->x3 = matrix->r3c1;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         column->x3 = matrix->r3c2;
@@ -299,32 +299,32 @@ inline void bgc_fp64_matrix2x3_get_column(const int number, const BGC_FP64_Matri
 
 // ================= Set Column ================= //
 
-inline void bgc_fp32_matrix2x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix2x3* matrix)
+inline void bgc_fp32_matrix2x3_set_column(BGC_FP32_Matrix2x3* matrix, const int column_number, const BGC_FP32_Vector3* column)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         matrix->r3c1 = column->x3;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
         matrix->r3c2 = column->x3;
     }
 }
 
-inline void bgc_fp64_matrix2x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix2x3* matrix)
+inline void bgc_fp64_matrix2x3_set_column(BGC_FP64_Matrix2x3* matrix, const int column_number, const BGC_FP64_Vector3* column)
 {
-    if (number == 1) {
+    if (column_number == 1) {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         matrix->r3c1 = column->x3;
         return;
     }
 
-    if (number == 2) {
+    if (column_number == 2) {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
         matrix->r3c2 = column->x3;
@@ -333,7 +333,7 @@ inline void bgc_fp64_matrix2x3_set_column(const int number, const BGC_FP64_Vecto
 
 // ==================== Add ===================== //
 
-inline void bgc_fp32_matrix2x3_add(const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2, BGC_FP32_Matrix2x3* sum)
+inline void bgc_fp32_matrix2x3_add(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -345,7 +345,7 @@ inline void bgc_fp32_matrix2x3_add(const BGC_FP32_Matrix2x3* matrix1, const BGC_
     sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
 }
 
-inline void bgc_fp64_matrix2x3_add(const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2, BGC_FP64_Matrix2x3* sum)
+inline void bgc_fp64_matrix2x3_add(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -359,7 +359,7 @@ inline void bgc_fp64_matrix2x3_add(const BGC_FP64_Matrix2x3* matrix1, const BGC_
 
 // ================= Add scaled ================= //
 
-inline void bgc_fp32_matrix2x3_add_scaled(const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale, BGC_FP32_Matrix2x3* sum)
+inline void bgc_fp32_matrix2x3_add_scaled(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -371,7 +371,7 @@ inline void bgc_fp32_matrix2x3_add_scaled(const BGC_FP32_Matrix2x3* basic_matrix
     sum->r3c2 = basic_matrix->r3c2 + scalable_matrix->r3c2 * scale;
 }
 
-inline void bgc_fp64_matrix2x3_add_scaled(const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale, BGC_FP64_Matrix2x3* sum)
+inline void bgc_fp64_matrix2x3_add_scaled(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -385,7 +385,7 @@ inline void bgc_fp64_matrix2x3_add_scaled(const BGC_FP64_Matrix2x3* basic_matrix
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_matrix2x3_subtract(const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend, BGC_FP32_Matrix2x3* difference)
+inline void bgc_fp32_matrix2x3_subtract(BGC_FP32_Matrix2x3* difference, const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -397,7 +397,7 @@ inline void bgc_fp32_matrix2x3_subtract(const BGC_FP32_Matrix2x3* minuend, const
     difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
 }
 
-inline void bgc_fp64_matrix2x3_subtract(const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend, BGC_FP64_Matrix2x3* difference)
+inline void bgc_fp64_matrix2x3_subtract(BGC_FP64_Matrix2x3* difference, const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -411,7 +411,7 @@ inline void bgc_fp64_matrix2x3_subtract(const BGC_FP64_Matrix2x3* minuend, const
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_matrix2x3_multiply(const BGC_FP32_Matrix2x3* multiplicand, const float multiplier, BGC_FP32_Matrix2x3* product)
+inline void bgc_fp32_matrix2x3_multiply(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix2x3* multiplicand, const float multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -423,7 +423,7 @@ inline void bgc_fp32_matrix2x3_multiply(const BGC_FP32_Matrix2x3* multiplicand,
     product->r3c2 = multiplicand->r3c2 * multiplier;
 }
 
-inline void bgc_fp64_matrix2x3_multiply(const BGC_FP64_Matrix2x3* multiplicand, const double multiplier, BGC_FP64_Matrix2x3* product)
+inline void bgc_fp64_matrix2x3_multiply(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix2x3* multiplicand, const double multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -437,19 +437,19 @@ inline void bgc_fp64_matrix2x3_multiply(const BGC_FP64_Matrix2x3* multiplicand,
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_matrix2x3_divide(const BGC_FP32_Matrix2x3* dividend, const float divisor, BGC_FP32_Matrix2x3* quotient)
+inline void bgc_fp32_matrix2x3_divide(BGC_FP32_Matrix2x3* quotient, const BGC_FP32_Matrix2x3* dividend, const float divisor)
 {
-    bgc_fp32_matrix2x3_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_matrix2x3_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_matrix2x3_divide(const BGC_FP64_Matrix2x3* dividend, const double divisor, BGC_FP64_Matrix2x3* quotient)
+inline void bgc_fp64_matrix2x3_divide(BGC_FP64_Matrix2x3* quotient, const BGC_FP64_Matrix2x3* dividend, const double divisor)
 {
-    bgc_fp64_matrix2x3_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_matrix2x3_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Interpolate ================= //
 
-inline void bgc_fp32_matrix2x3_interpolate(const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase, BGC_FP32_Matrix2x3* interpolation)
+inline void bgc_fp32_matrix2x3_interpolate(BGC_FP32_Matrix2x3* interpolation, const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase)
 {
     const float couter_phase = 1.0f - phase;
 
@@ -463,7 +463,7 @@ inline void bgc_fp32_matrix2x3_interpolate(const BGC_FP32_Matrix2x3* first, cons
     interpolation->r3c2 = first->r3c2 * couter_phase + second->r3c2 * phase;
 }
 
-inline void bgc_fp64_matrix2x3_interpolate(const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase, BGC_FP64_Matrix2x3* interpolation)
+inline void bgc_fp64_matrix2x3_interpolate(BGC_FP64_Matrix2x3* interpolation, const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase)
 {
     const double couter_phase = 1.0 - phase;
 
@@ -479,13 +479,13 @@ inline void bgc_fp64_matrix2x3_interpolate(const BGC_FP64_Matrix2x3* first, cons
 
 // ============ Left Vector Product ============= //
 
-inline void bgc_fp32_multiply_vector3_by_matrix2x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Vector2* product)
+inline void bgc_fp32_multiply_vector3_by_matrix2x3(BGC_FP32_Vector2* product, const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix)
 {
     product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
     product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
 }
 
-inline void bgc_fp64_multiply_vector3_by_matrix2x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Vector2* product)
+inline void bgc_fp64_multiply_vector3_by_matrix2x3(BGC_FP64_Vector2* product, const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix)
 {
     product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
     product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
@@ -493,14 +493,14 @@ inline void bgc_fp64_multiply_vector3_by_matrix2x3(const BGC_FP64_Vector3* vecto
 
 // ============ Right Vector Product ============ //
 
-inline void bgc_fp32_multiply_matrix2x3_by_vector2(const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector, BGC_FP32_Vector3* product)
+inline void bgc_fp32_multiply_matrix2x3_by_vector2(BGC_FP32_Vector3* product, const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector)
 {
     product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
     product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
     product->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
 }
 
-inline void bgc_fp64_multiply_matrix2x3_by_vector2(const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector, BGC_FP64_Vector3* product)
+inline void bgc_fp64_multiply_matrix2x3_by_vector2(BGC_FP64_Vector3* product, const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector)
 {
     product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
     product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;

basic-geometry/matrix3x2.c

@@ -3,50 +3,50 @@
 extern inline void bgc_fp32_matrix3x2_reset(BGC_FP32_Matrix3x2* matrix);
 extern inline void bgc_fp64_matrix3x2_reset(BGC_FP64_Matrix3x2* matrix);
 
-extern inline void bgc_fp32_matrix3x2_copy(const BGC_FP32_Matrix3x2* source, BGC_FP32_Matrix3x2* destination);
+extern inline void bgc_fp32_matrix3x2_copy(BGC_FP32_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source);
-extern inline void bgc_fp64_matrix3x2_copy(const BGC_FP64_Matrix3x2* source, BGC_FP64_Matrix3x2* destination);
+extern inline void bgc_fp64_matrix3x2_copy(BGC_FP64_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source);
 
 extern inline void bgc_fp32_matrix3x2_swap(BGC_FP32_Matrix3x2* matrix1, BGC_FP32_Matrix3x2* matrix2);
 extern inline void bgc_fp64_matrix3x2_swap(BGC_FP64_Matrix3x2* matrix1, BGC_FP64_Matrix3x2* matrix2);
 
-extern inline void bgc_fp64_matrix3x2_convert_to_fp32(const BGC_FP64_Matrix3x2* source, BGC_FP32_Matrix3x2* destination);
+extern inline void bgc_fp32_matrix3x2_convert_to_fp64(BGC_FP64_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source);
-extern inline void bgc_fp32_matrix3x2_convert_to_fp64(const BGC_FP32_Matrix3x2* source, BGC_FP64_Matrix3x2* destination);
+extern inline void bgc_fp64_matrix3x2_convert_to_fp32(BGC_FP32_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source);
 
-extern inline void bgc_fp32_matrix3x2_get_transposed(const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Matrix3x2* transposed);
+extern inline void bgc_fp32_matrix3x2_get_transposed(BGC_FP32_Matrix3x2* transposed, const BGC_FP32_Matrix2x3* matrix);
-extern inline void bgc_fp64_matrix3x2_get_transposed(const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Matrix3x2* transposed);
+extern inline void bgc_fp64_matrix3x2_get_transposed(BGC_FP64_Matrix3x2* transposed, const BGC_FP64_Matrix2x3* matrix);
 
-extern inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* row);
+extern inline void bgc_fp32_matrix3x2_get_row(BGC_FP32_Vector3* row, const BGC_FP32_Matrix3x2* matrix, const int row_number);
-extern inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* row);
+extern inline void bgc_fp64_matrix3x2_get_row(BGC_FP64_Vector3* row, const BGC_FP64_Matrix3x2* matrix, const int row_number);
 
-extern inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x2* matrix);
+extern inline void bgc_fp32_matrix3x2_set_row(BGC_FP32_Matrix3x2* matrix, const int row_number, const BGC_FP32_Vector3* row);
-extern inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x2* matrix);
+extern inline void bgc_fp64_matrix3x2_set_row(BGC_FP64_Matrix3x2* matrix, const int row_number, const BGC_FP64_Vector3* row);
 
-extern inline void bgc_fp32_matrix3x2_get_column(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector2* column);
+extern inline void bgc_fp32_matrix3x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix3x2* matrix, const int column_number);
-extern inline void bgc_fp64_matrix3x2_get_column(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector2* column);
+extern inline void bgc_fp64_matrix3x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix3x2* matrix, const int column_number);
 
-extern inline void bgc_fp32_matrix3x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix3x2* matrix);
+extern inline void bgc_fp32_matrix3x2_set_column(BGC_FP32_Matrix3x2* matrix, const int column_number, const BGC_FP32_Vector2* column);
-extern inline void bgc_fp64_matrix3x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix3x2* matrix);
+extern inline void bgc_fp64_matrix3x2_set_column(BGC_FP64_Matrix3x2* matrix, const int column_number, const BGC_FP64_Vector2* column);
 
-extern inline void bgc_fp32_matrix3x2_add(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* sum);
+extern inline void bgc_fp32_matrix3x2_add(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2);
-extern inline void bgc_fp64_matrix3x2_add(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* sum);
+extern inline void bgc_fp64_matrix3x2_add(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2);
 
-extern inline void bgc_fp32_matrix3x2_add_scaled(const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale, BGC_FP32_Matrix3x2* sum);
+extern inline void bgc_fp32_matrix3x2_add_scaled(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale);
-extern inline void bgc_fp64_matrix3x2_add_scaled(const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale, BGC_FP64_Matrix3x2* sum);
+extern inline void bgc_fp64_matrix3x2_add_scaled(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale);
 
-extern inline void bgc_fp32_matrix3x2_subtract(const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend, BGC_FP32_Matrix3x2* difference);
+extern inline void bgc_fp32_matrix3x2_subtract(BGC_FP32_Matrix3x2* difference, const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend);
-extern inline void bgc_fp64_matrix3x2_subtract(const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend, BGC_FP64_Matrix3x2* difference);
+extern inline void bgc_fp64_matrix3x2_subtract(BGC_FP64_Matrix3x2* difference, const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend);
 
-extern inline void bgc_fp32_matrix3x2_multiply(const BGC_FP32_Matrix3x2* multiplicand, const float multiplier, BGC_FP32_Matrix3x2* product);
+extern inline void bgc_fp32_matrix3x2_multiply(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix3x2* multiplicand, const float multiplier);
-extern inline void bgc_fp64_matrix3x2_multiply(const BGC_FP64_Matrix3x2* multiplicand, const double multiplier, BGC_FP64_Matrix3x2* product);
+extern inline void bgc_fp64_matrix3x2_multiply(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix3x2* multiplicand, const double multiplier);
 
-extern inline void bgc_fp32_matrix3x2_divide(const BGC_FP32_Matrix3x2* dividend, const float divisor, BGC_FP32_Matrix3x2* quotient);
+extern inline void bgc_fp32_matrix3x2_divide(BGC_FP32_Matrix3x2* quotient, const BGC_FP32_Matrix3x2* dividend, const float divisor);
-extern inline void bgc_fp64_matrix3x2_divide(const BGC_FP64_Matrix3x2* dividend, const double divisor, BGC_FP64_Matrix3x2* quotient);
+extern inline void bgc_fp64_matrix3x2_divide(BGC_FP64_Matrix3x2* quotient, const BGC_FP64_Matrix3x2* dividend, const double divisor);
 
-extern inline void bgc_fp32_matrix3x2_interpolate(const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase, BGC_FP32_Matrix3x2* interpolation);
+extern inline void bgc_fp32_matrix3x2_interpolate(BGC_FP32_Matrix3x2* interpolation, const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase);
-extern inline void bgc_fp64_matrix3x2_interpolate(const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase, BGC_FP64_Matrix3x2* interpolation);
+extern inline void bgc_fp64_matrix3x2_interpolate(BGC_FP64_Matrix3x2* interpolation, const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase);
 
-extern inline void bgc_fp32_multiply_vector2_by_matrix3x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* product);
+extern inline void bgc_fp32_multiply_vector2_by_matrix3x2(BGC_FP32_Vector3* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix);
-extern inline void bgc_fp64_multiply_vector2_by_matrix3x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* product);
+extern inline void bgc_fp64_multiply_vector2_by_matrix3x2(BGC_FP64_Vector3* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix);
 
-extern inline void bgc_fp32_multiply_matrix3x2_by_vector3(const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector2* product);
+extern inline void bgc_fp32_multiply_matrix3x2_by_vector3(BGC_FP32_Vector2* product, const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector);
-extern inline void bgc_fp64_multiply_matrix3x2_by_vector3(const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector2* product);
+extern inline void bgc_fp64_multiply_matrix3x2_by_vector3(BGC_FP64_Vector2* product, const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector);

basic-geometry/matrix3x2.h

@@ -3,7 +3,7 @@
 
 #include "vector2.h"
 #include "vector3.h"
-#include "matrixes.h"
+#include "matrices.h"
 
 // =================== Reset ==================== //
 
@@ -31,7 +31,7 @@ inline void bgc_fp64_matrix3x2_reset(BGC_FP64_Matrix3x2* matrix)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_matrix3x2_copy(const BGC_FP32_Matrix3x2* source, BGC_FP32_Matrix3x2* destination)
+inline void bgc_fp32_matrix3x2_copy(BGC_FP32_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -42,7 +42,7 @@ inline void bgc_fp32_matrix3x2_copy(const BGC_FP32_Matrix3x2* source, BGC_FP32_M
     destination->r2c3 = source->r2c3;
 }
 
-inline void bgc_fp64_matrix3x2_copy(const BGC_FP64_Matrix3x2* source, BGC_FP64_Matrix3x2* destination)
+inline void bgc_fp64_matrix3x2_copy(BGC_FP64_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -111,7 +111,7 @@ inline void bgc_fp64_matrix3x2_swap(BGC_FP64_Matrix3x2* matrix1, BGC_FP64_Matrix
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_matrix3x2_convert_to_fp32(const BGC_FP64_Matrix3x2* source, BGC_FP32_Matrix3x2* destination)
+inline void bgc_fp64_matrix3x2_convert_to_fp32(BGC_FP32_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source)
 {
     destination->r1c1 = (float)source->r1c1;
     destination->r1c2 = (float)source->r1c2;
@@ -122,7 +122,7 @@ inline void bgc_fp64_matrix3x2_convert_to_fp32(const BGC_FP64_Matrix3x2* source,
     destination->r2c3 = (float)source->r2c3;
 }
 
-inline void bgc_fp32_matrix3x2_convert_to_fp64(const BGC_FP32_Matrix3x2* source, BGC_FP64_Matrix3x2* destination)
+inline void bgc_fp32_matrix3x2_convert_to_fp64(BGC_FP64_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -135,7 +135,7 @@ inline void bgc_fp32_matrix3x2_convert_to_fp64(const BGC_FP32_Matrix3x2* source,
 
 // ================= Transpose ================== //
 
-inline void bgc_fp32_matrix3x2_get_transposed(const BGC_FP32_Matrix2x3* matrix, BGC_FP32_Matrix3x2* transposed)
+inline void bgc_fp32_matrix3x2_get_transposed(BGC_FP32_Matrix3x2* transposed, const BGC_FP32_Matrix2x3* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r1c2 = matrix->r2c1;
@@ -146,7 +146,7 @@ inline void bgc_fp32_matrix3x2_get_transposed(const BGC_FP32_Matrix2x3* matrix,
     transposed->r2c3 = matrix->r3c2;
 }
 
-inline void bgc_fp64_matrix3x2_get_transposed(const BGC_FP64_Matrix2x3* matrix, BGC_FP64_Matrix3x2* transposed)
+inline void bgc_fp64_matrix3x2_get_transposed(BGC_FP64_Matrix3x2* transposed, const BGC_FP64_Matrix2x3* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r1c2 = matrix->r2c1;
@@ -159,9 +159,9 @@ inline void bgc_fp64_matrix3x2_get_transposed(const BGC_FP64_Matrix2x3* matrix,
 
 // ================== Get Row =================== //
 
-inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* row)
+inline void bgc_fp32_matrix3x2_get_row(BGC_FP32_Vector3* row, const BGC_FP32_Matrix3x2* matrix, const int row_number)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
@@ -169,7 +169,7 @@ inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
@@ -182,9 +182,9 @@ inline void bgc_fp32_matrix3x2_get_row(const int number, const BGC_FP32_Matrix3x
     row->x3 = 0.0f;
 }
 
-inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* row)
+inline void bgc_fp64_matrix3x2_get_row(BGC_FP64_Vector3* row, const BGC_FP64_Matrix3x2* matrix, const int row_number)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
@@ -192,7 +192,7 @@ inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
@@ -207,9 +207,9 @@ inline void bgc_fp64_matrix3x2_get_row(const int number, const BGC_FP64_Matrix3x
 
 // ================== Set Row =================== //
 
-inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x2* matrix)
+inline void bgc_fp32_matrix3x2_set_row(BGC_FP32_Matrix3x2* matrix, const int row_number, const BGC_FP32_Vector3* row)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
@@ -217,7 +217,7 @@ inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3*
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
@@ -225,9 +225,9 @@ inline void bgc_fp32_matrix3x2_set_row(const int number, const BGC_FP32_Vector3*
     }
 }
 
-inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x2* matrix)
+inline void bgc_fp64_matrix3x2_set_row(BGC_FP64_Matrix3x2* matrix, const int row_number, const BGC_FP64_Vector3* row)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
@@ -235,7 +235,7 @@ inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3*
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
@@ -245,23 +245,23 @@ inline void bgc_fp64_matrix3x2_set_row(const int number, const BGC_FP64_Vector3*
 
 // ================= Get Column ================= //
 
-inline void bgc_fp32_matrix3x2_get_column(const int number, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector2* column)
+inline void bgc_fp32_matrix3x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix3x2* matrix, const int column_number)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         column->x1 = matrix->r1c3;
         column->x2 = matrix->r2c3;
@@ -272,23 +272,23 @@ inline void bgc_fp32_matrix3x2_get_column(const int number, const BGC_FP32_Matri
     column->x2 = 0.0f;
 }
 
-inline void bgc_fp64_matrix3x2_get_column(const int number, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector2* column)
+inline void bgc_fp64_matrix3x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix3x2* matrix, const int column_number)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         column->x1 = matrix->r1c3;
         column->x2 = matrix->r2c3;
@@ -301,46 +301,46 @@ inline void bgc_fp64_matrix3x2_get_column(const int number, const BGC_FP64_Matri
 
 // ================= Set Column ================= //
 
-inline void bgc_fp32_matrix3x2_set_column(const int number, const BGC_FP32_Vector2* column, BGC_FP32_Matrix3x2* matrix)
+inline void bgc_fp32_matrix3x2_set_column(BGC_FP32_Matrix3x2* matrix, const int column_number, const BGC_FP32_Vector2* column)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         matrix->r1c3 = column->x1;
         matrix->r2c3 = column->x2;
     }
 }
 
-inline void bgc_fp64_matrix3x2_set_column(const int number, const BGC_FP64_Vector2* column, BGC_FP64_Matrix3x2* matrix)
+inline void bgc_fp64_matrix3x2_set_column(BGC_FP64_Matrix3x2* matrix, const int column_number, const BGC_FP64_Vector2* column)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         matrix->r1c3 = column->x1;
         matrix->r2c3 = column->x2;
@@ -349,7 +349,7 @@ inline void bgc_fp64_matrix3x2_set_column(const int number, const BGC_FP64_Vecto
 
 // ==================== Add ===================== //
 
-inline void bgc_fp32_matrix3x2_add(const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2, BGC_FP32_Matrix3x2* sum)
+inline void bgc_fp32_matrix3x2_add(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -360,7 +360,7 @@ inline void bgc_fp32_matrix3x2_add(const BGC_FP32_Matrix3x2* matrix1, const BGC_
     sum->r2c3 = matrix1->r2c3 + matrix2->r2c3;
 }
 
-inline void bgc_fp64_matrix3x2_add(const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2, BGC_FP64_Matrix3x2* sum)
+inline void bgc_fp64_matrix3x2_add(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -373,7 +373,7 @@ inline void bgc_fp64_matrix3x2_add(const BGC_FP64_Matrix3x2* matrix1, const BGC_
 
 // ================= Add scaled ================= //
 
-inline void bgc_fp32_matrix3x2_add_scaled(const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale, BGC_FP32_Matrix3x2* sum)
+inline void bgc_fp32_matrix3x2_add_scaled(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -384,7 +384,7 @@ inline void bgc_fp32_matrix3x2_add_scaled(const BGC_FP32_Matrix3x2* basic_matrix
     sum->r2c3 = basic_matrix->r2c3 + scalable_matrix->r2c3 * scale;
 }
 
-inline void bgc_fp64_matrix3x2_add_scaled(const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale, BGC_FP64_Matrix3x2* sum)
+inline void bgc_fp64_matrix3x2_add_scaled(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -397,7 +397,7 @@ inline void bgc_fp64_matrix3x2_add_scaled(const BGC_FP64_Matrix3x2* basic_matrix
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_matrix3x2_subtract(const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend, BGC_FP32_Matrix3x2* difference)
+inline void bgc_fp32_matrix3x2_subtract(BGC_FP32_Matrix3x2* difference, const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -408,7 +408,7 @@ inline void bgc_fp32_matrix3x2_subtract(const BGC_FP32_Matrix3x2* minuend, const
     difference->r2c3 = minuend->r2c3 - subtrahend->r2c3;
 }
 
-inline void bgc_fp64_matrix3x2_subtract(const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend, BGC_FP64_Matrix3x2* difference)
+inline void bgc_fp64_matrix3x2_subtract(BGC_FP64_Matrix3x2* difference, const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -421,7 +421,7 @@ inline void bgc_fp64_matrix3x2_subtract(const BGC_FP64_Matrix3x2* minuend, const
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_matrix3x2_multiply(const BGC_FP32_Matrix3x2* multiplicand, const float multiplier, BGC_FP32_Matrix3x2* product)
+inline void bgc_fp32_matrix3x2_multiply(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix3x2* multiplicand, const float multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -432,7 +432,7 @@ inline void bgc_fp32_matrix3x2_multiply(const BGC_FP32_Matrix3x2* multiplicand,
     product->r2c3 = multiplicand->r2c3 * multiplier;
 }
 
-inline void bgc_fp64_matrix3x2_multiply(const BGC_FP64_Matrix3x2* multiplicand, const double multiplier, BGC_FP64_Matrix3x2* product)
+inline void bgc_fp64_matrix3x2_multiply(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix3x2* multiplicand, const double multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -445,19 +445,19 @@ inline void bgc_fp64_matrix3x2_multiply(const BGC_FP64_Matrix3x2* multiplicand,
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_matrix3x2_divide(const BGC_FP32_Matrix3x2* dividend, const float divisor, BGC_FP32_Matrix3x2* quotient)
+inline void bgc_fp32_matrix3x2_divide(BGC_FP32_Matrix3x2* quotient, const BGC_FP32_Matrix3x2* dividend, const float divisor)
 {
-    bgc_fp32_matrix3x2_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_matrix3x2_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_matrix3x2_divide(const BGC_FP64_Matrix3x2* dividend, const double divisor, BGC_FP64_Matrix3x2* quotient)
+inline void bgc_fp64_matrix3x2_divide(BGC_FP64_Matrix3x2* quotient, const BGC_FP64_Matrix3x2* dividend, const double divisor)
 {
-    bgc_fp64_matrix3x2_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_matrix3x2_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Interpolate ================= //
 
-inline void bgc_fp32_matrix3x2_interpolate(const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase, BGC_FP32_Matrix3x2* interpolation)
+inline void bgc_fp32_matrix3x2_interpolate(BGC_FP32_Matrix3x2* interpolation, const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase)
 {
     const float couter_phase = 1.0f - phase;
 
@@ -470,7 +470,7 @@ inline void bgc_fp32_matrix3x2_interpolate(const BGC_FP32_Matrix3x2* first, cons
     interpolation->r2c3 = first->r2c3 * couter_phase + second->r2c3 * phase;
 }
 
-inline void bgc_fp64_matrix3x2_interpolate(const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase, BGC_FP64_Matrix3x2* interpolation)
+inline void bgc_fp64_matrix3x2_interpolate(BGC_FP64_Matrix3x2* interpolation, const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase)
 {
     const double couter_phase = 1.0 - phase;
 
@@ -485,14 +485,14 @@ inline void bgc_fp64_matrix3x2_interpolate(const BGC_FP64_Matrix3x2* first, cons
 
 // ============ Left Vector Product ============= //
 
-inline void bgc_fp32_multiply_vector2_by_matrix3x2(const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix, BGC_FP32_Vector3* product)
+inline void bgc_fp32_multiply_vector2_by_matrix3x2(BGC_FP32_Vector3* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix)
 {
     product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
     product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
     product->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3;
 }
 
-inline void bgc_fp64_multiply_vector2_by_matrix3x2(const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix, BGC_FP64_Vector3* product)
+inline void bgc_fp64_multiply_vector2_by_matrix3x2(BGC_FP64_Vector3* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix)
 {
     product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1;
     product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2;
@@ -501,13 +501,13 @@ inline void bgc_fp64_multiply_vector2_by_matrix3x2(const BGC_FP64_Vector2* vecto
 
 // ============ Right Vector Product ============ //
 
-inline void bgc_fp32_multiply_matrix3x2_by_vector3(const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector2* product)
+inline void bgc_fp32_multiply_matrix3x2_by_vector3(BGC_FP32_Vector2* product, const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector)
 {
     product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
     product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
 }
 
-inline void bgc_fp64_multiply_matrix3x2_by_vector3(const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector2* product)
+inline void bgc_fp64_multiply_matrix3x2_by_vector3(BGC_FP64_Vector2* product, const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector)
 {
     product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
     product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;

basic-geometry/matrix3x3.c

@@ -6,17 +6,17 @@ extern inline void bgc_fp64_matrix3x3_reset(BGC_FP64_Matrix3x3* matrix);
 extern inline void bgc_fp32_matrix3x3_make_identity(BGC_FP32_Matrix3x3* matrix);
 extern inline void bgc_fp64_matrix3x3_make_identity(BGC_FP64_Matrix3x3* matrix);
 
-extern inline void bgc_fp32_matrix3x3_make_diagonal(const float d1, const float d2, const float d3, BGC_FP32_Matrix3x3* matrix);
+extern inline void bgc_fp32_matrix3x3_make_diagonal(BGC_FP32_Matrix3x3* matrix, const float d1, const float d2, const float d3);
-extern inline void bgc_fp64_matrix3x3_make_diagonal(const double d1, const double d2, const double d3, BGC_FP64_Matrix3x3* matrix);
+extern inline void bgc_fp64_matrix3x3_make_diagonal(BGC_FP64_Matrix3x3* matrix, const double d1, const double d2, const double d3);
 
-extern inline void bgc_fp32_matrix3x3_copy(const BGC_FP32_Matrix3x3* source, BGC_FP32_Matrix3x3* destination);
+extern inline void bgc_fp32_matrix3x3_copy(BGC_FP32_Matrix3x3* destination, const BGC_FP32_Matrix3x3* source);
-extern inline void bgc_fp64_matrix3x3_copy(const BGC_FP64_Matrix3x3* source, BGC_FP64_Matrix3x3* destination);
+extern inline void bgc_fp64_matrix3x3_copy(BGC_FP64_Matrix3x3* destination, const BGC_FP64_Matrix3x3* source);
 
 extern inline void bgc_fp32_matrix3x3_swap(BGC_FP32_Matrix3x3* matrix1, BGC_FP32_Matrix3x3* matrix2);
 extern inline void bgc_fp64_matrix3x3_swap(BGC_FP64_Matrix3x3* matrix1, BGC_FP64_Matrix3x3* matrix2);
 
-extern inline void bgc_fp64_matrix3x3_convert_to_fp32(const BGC_FP64_Matrix3x3* source, BGC_FP32_Matrix3x3* destination);
+extern inline void bgc_fp64_matrix3x3_convert_to_fp32(BGC_FP32_Matrix3x3* destination, const BGC_FP64_Matrix3x3* source);
-extern inline void bgc_fp32_matrix3x3_convert_to_fp64(const BGC_FP32_Matrix3x3* source, BGC_FP64_Matrix3x3* destination);
+extern inline void bgc_fp32_matrix3x3_convert_to_fp64(BGC_FP64_Matrix3x3* destination, const BGC_FP32_Matrix3x3* source);
 
 extern inline float bgc_fp32_matrix3x3_get_determinant(const BGC_FP32_Matrix3x3* matrix);
 extern inline double bgc_fp64_matrix3x3_get_determinant(const BGC_FP64_Matrix3x3* matrix);
@@ -36,48 +36,48 @@ extern inline int bgc_fp64_matrix3x3_invert(BGC_FP64_Matrix3x3* matrix);
 extern inline void bgc_fp32_matrix3x3_transpose(BGC_FP32_Matrix3x3* matrix);
 extern inline void bgc_fp64_matrix3x3_transpose(BGC_FP64_Matrix3x3* matrix);
 
-extern inline void bgc_fp32_matrix3x3_get_transposed(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* transposed);
+extern inline void bgc_fp32_matrix3x3_get_transposed(BGC_FP32_Matrix3x3* transposed, const BGC_FP32_Matrix3x3* matrix);
-extern inline void bgc_fp64_matrix3x3_get_transposed(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* transposed);
+extern inline void bgc_fp64_matrix3x3_get_transposed(BGC_FP64_Matrix3x3* transposed, const BGC_FP64_Matrix3x3* matrix);
 
-extern inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* row);
+extern inline void bgc_fp32_matrix3x3_get_row(BGC_FP32_Vector3* row, const BGC_FP32_Matrix3x3* matrix, const int row_number);
-extern inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* row);
+extern inline void bgc_fp64_matrix3x3_get_row(BGC_FP64_Vector3* row, const BGC_FP64_Matrix3x3* matrix, const int row_number);
 
-extern inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x3* matrix);
+extern inline void bgc_fp32_matrix3x3_set_row(BGC_FP32_Matrix3x3* matrix, const int row_number, const BGC_FP32_Vector3* row);
-extern inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x3* matrix);
+extern inline void bgc_fp64_matrix3x3_set_row(BGC_FP64_Matrix3x3* matrix, const int row_number, const BGC_FP64_Vector3* row);
 
-extern inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* column);
+extern inline void bgc_fp32_matrix3x3_get_column(BGC_FP32_Vector3* column, const BGC_FP32_Matrix3x3* matrix, const int column_number);
-extern inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* column);
+extern inline void bgc_fp64_matrix3x3_get_column(BGC_FP64_Vector3* column, const BGC_FP64_Matrix3x3* matrix, const int column_number);
 
-extern inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix3x3* matrix);
+extern inline void bgc_fp32_matrix3x3_set_column(BGC_FP32_Matrix3x3* matrix, const int column_number, const BGC_FP32_Vector3* column);
-extern inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix3x3* matrix);
+extern inline void bgc_fp64_matrix3x3_set_column(BGC_FP64_Matrix3x3* matrix, const int column_number, const BGC_FP64_Vector3* column);
 
-extern inline void bgc_fp32_matrix3x3_add(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* sum);
+extern inline void bgc_fp32_matrix3x3_add(BGC_FP32_Matrix3x3* sum, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2);
-extern inline void bgc_fp64_matrix3x3_add(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* sum);
+extern inline void bgc_fp64_matrix3x3_add(BGC_FP64_Matrix3x3* sum, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2);
 
-extern inline void bgc_fp32_matrix3x3_add_scaled(const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale, BGC_FP32_Matrix3x3* sum);
+extern inline void bgc_fp32_matrix3x3_add_scaled(BGC_FP32_Matrix3x3* sum, const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale);
-extern inline void bgc_fp64_matrix3x3_add_scaled(const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale, BGC_FP64_Matrix3x3* sum);
+extern inline void bgc_fp64_matrix3x3_add_scaled(BGC_FP64_Matrix3x3* sum, const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale);
 
-extern inline void bgc_fp32_matrix3x3_subtract(const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend, BGC_FP32_Matrix3x3* difference);
+extern inline void bgc_fp32_matrix3x3_subtract(BGC_FP32_Matrix3x3* difference, const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend);
-extern inline void bgc_fp64_matrix3x3_subtract(const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend, BGC_FP64_Matrix3x3* difference);
+extern inline void bgc_fp64_matrix3x3_subtract(BGC_FP64_Matrix3x3* difference, const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend);
 
-extern inline void bgc_fp32_matrix3x3_multiply(const BGC_FP32_Matrix3x3* multiplicand, const float multiplier, BGC_FP32_Matrix3x3* product);
+extern inline void bgc_fp32_matrix3x3_multiply(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix3x3* multiplicand, const float multiplier);
-extern inline void bgc_fp64_matrix3x3_multiply(const BGC_FP64_Matrix3x3* multiplicand, const double multiplier, BGC_FP64_Matrix3x3* product);
+extern inline void bgc_fp64_matrix3x3_multiply(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix3x3* multiplicand, const double multiplier);
 
-extern inline void bgc_fp32_matrix3x3_divide(const BGC_FP32_Matrix3x3* dividend, const float divisor, BGC_FP32_Matrix3x3* quotient);
+extern inline void bgc_fp32_matrix3x3_divide(BGC_FP32_Matrix3x3* quotient, const BGC_FP32_Matrix3x3* dividend, const float divisor);
-extern inline void bgc_fp64_matrix3x3_divide(const BGC_FP64_Matrix3x3* dividend, const double divisor, BGC_FP64_Matrix3x3* quotient);
+extern inline void bgc_fp64_matrix3x3_divide(BGC_FP64_Matrix3x3* quotient, const BGC_FP64_Matrix3x3* dividend, const double divisor);
 
-extern inline void bgc_fp32_matrix3x3_interpolate(const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase, BGC_FP32_Matrix3x3* interpolation);
+extern inline void bgc_fp32_matrix3x3_interpolate(BGC_FP32_Matrix3x3* interpolation, const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase);
-extern inline void bgc_fp64_matrix3x3_interpolate(const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase, BGC_FP64_Matrix3x3* interpolation);
+extern inline void bgc_fp64_matrix3x3_interpolate(BGC_FP64_Matrix3x3* interpolation, const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase);
 
-extern inline void bgc_fp32_multiply_vector3_by_matrix3x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_multiply_vector3_by_matrix3x3(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix);
-extern inline void bgc_fp64_multiply_vector3_by_matrix3x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_multiply_vector3_by_matrix3x3(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix);
 
-extern inline void bgc_fp32_multiply_matrix3x3_by_vector3(const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_multiply_matrix3x3_by_vector3(BGC_FP32_Vector3* product, const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector);
-extern inline void bgc_fp64_multiply_matrix3x3_by_vector3(const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_multiply_matrix3x3_by_vector3(BGC_FP64_Vector3* product, const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector);
 
 // ================ Get Inverse ================= //
 
-int bgc_fp32_matrix3x3_get_inverse(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* inverse)
+int bgc_fp32_matrix3x3_get_inverse(BGC_FP32_Matrix3x3* inverse, const BGC_FP32_Matrix3x3* matrix)
 {
     const float determinant = bgc_fp32_matrix3x3_get_determinant(matrix);
 
@@ -114,7 +114,7 @@ int bgc_fp32_matrix3x3_get_inverse(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Ma
     return 1;
 }
 
-int bgc_fp64_matrix3x3_get_inverse(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* inverse)
+int bgc_fp64_matrix3x3_get_inverse(BGC_FP64_Matrix3x3* inverse, const BGC_FP64_Matrix3x3* matrix)
 {
     const double determinant = bgc_fp64_matrix3x3_get_determinant(matrix);
 

basic-geometry/matrix3x3.h

@@ -2,7 +2,7 @@
 #define _BGC_MATRIX3X3_H_
 
 #include "vector3.h"
-#include "matrixes.h"
+#include "matrices.h"
 
 // =================== Reset ==================== //
 
@@ -70,7 +70,7 @@ inline void bgc_fp64_matrix3x3_make_identity(BGC_FP64_Matrix3x3* matrix)
 
 // ================ Set Diagonal ================ //
 
-inline void bgc_fp32_matrix3x3_make_diagonal(const float d1, const float d2, const float d3, BGC_FP32_Matrix3x3* matrix)
+inline void bgc_fp32_matrix3x3_make_diagonal(BGC_FP32_Matrix3x3* matrix, const float d1, const float d2, const float d3)
 {
     matrix->r1c1 = d1;
     matrix->r1c2 = 0.0f;
@@ -85,7 +85,7 @@ inline void bgc_fp32_matrix3x3_make_diagonal(const float d1, const float d2, con
     matrix->r3c3 = d2;
 }
 
-inline void bgc_fp64_matrix3x3_make_diagonal(const double d1, const double d2, const double d3, BGC_FP64_Matrix3x3* matrix)
+inline void bgc_fp64_matrix3x3_make_diagonal(BGC_FP64_Matrix3x3* matrix, const double d1, const double d2, const double d3)
 {
     matrix->r1c1 = d1;
     matrix->r1c2 = 0.0;
@@ -102,7 +102,7 @@ inline void bgc_fp64_matrix3x3_make_diagonal(const double d1, const double d2, c
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_matrix3x3_copy(const BGC_FP32_Matrix3x3* source, BGC_FP32_Matrix3x3* destination)
+inline void bgc_fp32_matrix3x3_copy(BGC_FP32_Matrix3x3* destination, const BGC_FP32_Matrix3x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -117,7 +117,7 @@ inline void bgc_fp32_matrix3x3_copy(const BGC_FP32_Matrix3x3* source, BGC_FP32_M
     destination->r3c3 = source->r3c3;
 }
 
-inline void bgc_fp64_matrix3x3_copy(const BGC_FP64_Matrix3x3* source, BGC_FP64_Matrix3x3* destination)
+inline void bgc_fp64_matrix3x3_copy(BGC_FP64_Matrix3x3* destination, const BGC_FP64_Matrix3x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -214,7 +214,7 @@ inline void bgc_fp64_matrix3x3_swap(BGC_FP64_Matrix3x3* matrix1, BGC_FP64_Matrix
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_matrix3x3_convert_to_fp32(const BGC_FP64_Matrix3x3* source, BGC_FP32_Matrix3x3* destination)
+inline void bgc_fp64_matrix3x3_convert_to_fp32(BGC_FP32_Matrix3x3* destination, const BGC_FP64_Matrix3x3* source)
 {
     destination->r1c1 = (float)source->r1c1;
     destination->r1c2 = (float)source->r1c2;
@@ -229,7 +229,7 @@ inline void bgc_fp64_matrix3x3_convert_to_fp32(const BGC_FP64_Matrix3x3* source,
     destination->r3c3 = (float)source->r3c3;
 }
 
-inline void bgc_fp32_matrix3x3_convert_to_fp64(const BGC_FP32_Matrix3x3* source, BGC_FP64_Matrix3x3* destination)
+inline void bgc_fp32_matrix3x3_convert_to_fp64(BGC_FP64_Matrix3x3* destination, const BGC_FP32_Matrix3x3* source)
 {
     destination->r1c1 = source->r1c1;
     destination->r1c2 = source->r1c2;
@@ -330,9 +330,9 @@ inline int bgc_fp64_matrix3x3_is_rotation(const BGC_FP64_Matrix3x3* matrix)
 
 // ================ Get Inverse ================= //
 
-int bgc_fp32_matrix3x3_get_inverse(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* inverse);
+int bgc_fp32_matrix3x3_get_inverse(BGC_FP32_Matrix3x3* inverse, const BGC_FP32_Matrix3x3* matrix);
 
-int bgc_fp64_matrix3x3_get_inverse(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* inverse);
+int bgc_fp64_matrix3x3_get_inverse(BGC_FP64_Matrix3x3* inverse, const BGC_FP64_Matrix3x3* matrix);
 
 // =================== Invert =================== //
 
@@ -380,7 +380,7 @@ inline void bgc_fp64_matrix3x3_transpose(BGC_FP64_Matrix3x3* matrix)
 
 // =============== Get Transpose ================ //
 
-inline void bgc_fp32_matrix3x3_get_transposed(const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Matrix3x3* transposed)
+inline void bgc_fp32_matrix3x3_get_transposed(BGC_FP32_Matrix3x3* transposed, const BGC_FP32_Matrix3x3* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r2c2 = matrix->r2c2;
@@ -399,7 +399,7 @@ inline void bgc_fp32_matrix3x3_get_transposed(const BGC_FP32_Matrix3x3* matrix,
     transposed->r3c2 = r2c3;
 }
 
-inline void bgc_fp64_matrix3x3_get_transposed(const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Matrix3x3* transposed)
+inline void bgc_fp64_matrix3x3_get_transposed(BGC_FP64_Matrix3x3* transposed, const BGC_FP64_Matrix3x3* matrix)
 {
     transposed->r1c1 = matrix->r1c1;
     transposed->r2c2 = matrix->r2c2;
@@ -420,9 +420,9 @@ inline void bgc_fp64_matrix3x3_get_transposed(const BGC_FP64_Matrix3x3* matrix,
 
 // ================== Get Row -================== //
 
-inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* row)
+inline void bgc_fp32_matrix3x3_get_row(BGC_FP32_Vector3* row, const BGC_FP32_Matrix3x3* matrix, const int row_number)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
@@ -430,7 +430,7 @@ inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
@@ -438,7 +438,7 @@ inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x
         return;
     }
 
-    if (number == 3)
+    if (row_number == 3)
     {
         row->x1 = matrix->r3c1;
         row->x2 = matrix->r3c2;
@@ -451,9 +451,9 @@ inline void bgc_fp32_matrix3x3_get_row(const int number, const BGC_FP32_Matrix3x
     row->x3 = 0.0f;
 }
 
-inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* row)
+inline void bgc_fp64_matrix3x3_get_row(BGC_FP64_Vector3* row, const BGC_FP64_Matrix3x3* matrix, const int row_number)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         row->x1 = matrix->r1c1;
         row->x2 = matrix->r1c2;
@@ -461,7 +461,7 @@ inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         row->x1 = matrix->r2c1;
         row->x2 = matrix->r2c2;
@@ -469,7 +469,7 @@ inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x
         return;
     }
 
-    if (number == 3)
+    if (row_number == 3)
     {
         row->x1 = matrix->r3c1;
         row->x2 = matrix->r3c2;
@@ -484,9 +484,9 @@ inline void bgc_fp64_matrix3x3_get_row(const int number, const BGC_FP64_Matrix3x
 
 // ================== Set Row =================== //
 
-inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3* row, BGC_FP32_Matrix3x3* matrix)
+inline void bgc_fp32_matrix3x3_set_row(BGC_FP32_Matrix3x3* matrix, const int row_number, const BGC_FP32_Vector3* row)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
@@ -494,7 +494,7 @@ inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3*
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
@@ -502,7 +502,7 @@ inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3*
         return;
     }
 
-    if (number == 3)
+    if (row_number == 3)
     {
         matrix->r3c1 = row->x1;
         matrix->r3c2 = row->x2;
@@ -510,9 +510,9 @@ inline void bgc_fp32_matrix3x3_set_row(const int number, const BGC_FP32_Vector3*
     }
 }
 
-inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3* row, BGC_FP64_Matrix3x3* matrix)
+inline void bgc_fp64_matrix3x3_set_row(BGC_FP64_Matrix3x3* matrix, const int row_number, const BGC_FP64_Vector3* row)
 {
-    if (number == 1)
+    if (row_number == 1)
     {
         matrix->r1c1 = row->x1;
         matrix->r1c2 = row->x2;
@@ -520,7 +520,7 @@ inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3*
         return;
     }
 
-    if (number == 2)
+    if (row_number == 2)
     {
         matrix->r2c1 = row->x1;
         matrix->r2c2 = row->x2;
@@ -528,7 +528,7 @@ inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3*
         return;
     }
 
-    if (number == 3)
+    if (row_number == 3)
     {
         matrix->r3c1 = row->x1;
         matrix->r3c2 = row->x2;
@@ -538,9 +538,9 @@ inline void bgc_fp64_matrix3x3_set_row(const int number, const BGC_FP64_Vector3*
 
 // ================= Get Column ================= //
 
-inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* column)
+inline void bgc_fp32_matrix3x3_get_column(BGC_FP32_Vector3* column, const BGC_FP32_Matrix3x3* matrix, const int column_number)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
@@ -548,7 +548,7 @@ inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matri
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
@@ -556,7 +556,7 @@ inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matri
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         column->x1 = matrix->r1c3;
         column->x2 = matrix->r2c3;
@@ -569,9 +569,9 @@ inline void bgc_fp32_matrix3x3_get_column(const int number, const BGC_FP32_Matri
     column->x3 = 0.0f;
 }
 
-inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* column)
+inline void bgc_fp64_matrix3x3_get_column(BGC_FP64_Vector3* column, const BGC_FP64_Matrix3x3* matrix, const int column_number)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         column->x1 = matrix->r1c1;
         column->x2 = matrix->r2c1;
@@ -579,7 +579,7 @@ inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matri
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         column->x1 = matrix->r1c2;
         column->x2 = matrix->r2c2;
@@ -587,7 +587,7 @@ inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matri
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         column->x1 = matrix->r1c3;
         column->x2 = matrix->r2c3;
@@ -602,9 +602,9 @@ inline void bgc_fp64_matrix3x3_get_column(const int number, const BGC_FP64_Matri
 
 // ================= Set Column ================= //
 
-inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vector3* column, BGC_FP32_Matrix3x3* matrix)
+inline void bgc_fp32_matrix3x3_set_column(BGC_FP32_Matrix3x3* matrix, const int column_number, const BGC_FP32_Vector3* column)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
@@ -612,7 +612,7 @@ inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vecto
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
@@ -620,7 +620,7 @@ inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vecto
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         matrix->r1c3 = column->x1;
         matrix->r2c3 = column->x2;
@@ -628,9 +628,9 @@ inline void bgc_fp32_matrix3x3_set_column(const int number, const BGC_FP32_Vecto
     }
 }
 
-inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vector3* column, BGC_FP64_Matrix3x3* matrix)
+inline void bgc_fp64_matrix3x3_set_column(BGC_FP64_Matrix3x3* matrix, const int column_number, const BGC_FP64_Vector3* column)
 {
-    if (number == 1)
+    if (column_number == 1)
     {
         matrix->r1c1 = column->x1;
         matrix->r2c1 = column->x2;
@@ -638,7 +638,7 @@ inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vecto
         return;
     }
 
-    if (number == 2)
+    if (column_number == 2)
     {
         matrix->r1c2 = column->x1;
         matrix->r2c2 = column->x2;
@@ -646,7 +646,7 @@ inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vecto
         return;
     }
 
-    if (number == 3)
+    if (column_number == 3)
     {
         matrix->r1c3 = column->x1;
         matrix->r2c3 = column->x2;
@@ -656,7 +656,7 @@ inline void bgc_fp64_matrix3x3_set_column(const int number, const BGC_FP64_Vecto
 
 // ==================== Add ===================== //
 
-inline void bgc_fp32_matrix3x3_add(const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2, BGC_FP32_Matrix3x3* sum)
+inline void bgc_fp32_matrix3x3_add(BGC_FP32_Matrix3x3* sum, const BGC_FP32_Matrix3x3* matrix1, const BGC_FP32_Matrix3x3* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -671,7 +671,7 @@ inline void bgc_fp32_matrix3x3_add(const BGC_FP32_Matrix3x3* matrix1, const BGC_
     sum->r3c3 = matrix1->r3c3 + matrix2->r3c3;
 }
 
-inline void bgc_fp64_matrix3x3_add(const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2, BGC_FP64_Matrix3x3* sum)
+inline void bgc_fp64_matrix3x3_add(BGC_FP64_Matrix3x3* sum, const BGC_FP64_Matrix3x3* matrix1, const BGC_FP64_Matrix3x3* matrix2)
 {
     sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
     sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
@@ -688,7 +688,7 @@ inline void bgc_fp64_matrix3x3_add(const BGC_FP64_Matrix3x3* matrix1, const BGC_
 
 // ================= Add scaled ================= //
 
-inline void bgc_fp32_matrix3x3_add_scaled(const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale, BGC_FP32_Matrix3x3* sum)
+inline void bgc_fp32_matrix3x3_add_scaled(BGC_FP32_Matrix3x3* sum, const BGC_FP32_Matrix3x3* basic_matrix, const BGC_FP32_Matrix3x3* scalable_matrix, const float scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -703,7 +703,7 @@ inline void bgc_fp32_matrix3x3_add_scaled(const BGC_FP32_Matrix3x3* basic_matrix
     sum->r3c3 = basic_matrix->r3c3 + scalable_matrix->r3c3 * scale;
 }
 
-inline void bgc_fp64_matrix3x3_add_scaled(const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale, BGC_FP64_Matrix3x3* sum)
+inline void bgc_fp64_matrix3x3_add_scaled(BGC_FP64_Matrix3x3* sum, const BGC_FP64_Matrix3x3* basic_matrix, const BGC_FP64_Matrix3x3* scalable_matrix, const double scale)
 {
     sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
     sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
@@ -720,7 +720,7 @@ inline void bgc_fp64_matrix3x3_add_scaled(const BGC_FP64_Matrix3x3* basic_matrix
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_matrix3x3_subtract(const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend, BGC_FP32_Matrix3x3* difference)
+inline void bgc_fp32_matrix3x3_subtract(BGC_FP32_Matrix3x3* difference, const BGC_FP32_Matrix3x3* minuend, const BGC_FP32_Matrix3x3* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -735,7 +735,7 @@ inline void bgc_fp32_matrix3x3_subtract(const BGC_FP32_Matrix3x3* minuend, const
     difference->r3c3 = minuend->r3c3 - subtrahend->r3c3;
 }
 
-inline void bgc_fp64_matrix3x3_subtract(const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend, BGC_FP64_Matrix3x3* difference)
+inline void bgc_fp64_matrix3x3_subtract(BGC_FP64_Matrix3x3* difference, const BGC_FP64_Matrix3x3* minuend, const BGC_FP64_Matrix3x3* subtrahend)
 {
     difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
     difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
@@ -752,7 +752,7 @@ inline void bgc_fp64_matrix3x3_subtract(const BGC_FP64_Matrix3x3* minuend, const
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_matrix3x3_multiply(const BGC_FP32_Matrix3x3* multiplicand, const float multiplier, BGC_FP32_Matrix3x3* product)
+inline void bgc_fp32_matrix3x3_multiply(BGC_FP32_Matrix3x3* product, const BGC_FP32_Matrix3x3* multiplicand, const float multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -767,7 +767,7 @@ inline void bgc_fp32_matrix3x3_multiply(const BGC_FP32_Matrix3x3* multiplicand,
     product->r3c3 = multiplicand->r3c3 * multiplier;
 }
 
-inline void bgc_fp64_matrix3x3_multiply(const BGC_FP64_Matrix3x3* multiplicand, const double multiplier, BGC_FP64_Matrix3x3* product)
+inline void bgc_fp64_matrix3x3_multiply(BGC_FP64_Matrix3x3* product, const BGC_FP64_Matrix3x3* multiplicand, const double multiplier)
 {
     product->r1c1 = multiplicand->r1c1 * multiplier;
     product->r1c2 = multiplicand->r1c2 * multiplier;
@@ -784,19 +784,19 @@ inline void bgc_fp64_matrix3x3_multiply(const BGC_FP64_Matrix3x3* multiplicand,
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_matrix3x3_divide(const BGC_FP32_Matrix3x3* dividend, const float divisor, BGC_FP32_Matrix3x3* quotient)
+inline void bgc_fp32_matrix3x3_divide(BGC_FP32_Matrix3x3* quotient, const BGC_FP32_Matrix3x3* dividend, const float divisor)
 {
-    bgc_fp32_matrix3x3_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_matrix3x3_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_matrix3x3_divide(const BGC_FP64_Matrix3x3* dividend, const double divisor, BGC_FP64_Matrix3x3* quotient)
+inline void bgc_fp64_matrix3x3_divide(BGC_FP64_Matrix3x3* quotient, const BGC_FP64_Matrix3x3* dividend, const double divisor)
 {
-    bgc_fp64_matrix3x3_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_matrix3x3_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Interpolate ================= //
 
-inline void bgc_fp32_matrix3x3_interpolate(const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase, BGC_FP32_Matrix3x3* interpolation)
+inline void bgc_fp32_matrix3x3_interpolate(BGC_FP32_Matrix3x3* interpolation, const BGC_FP32_Matrix3x3* first, const BGC_FP32_Matrix3x3* second, const float phase)
 {
     const float counter_phase = 1.0f - phase;
 
@@ -813,7 +813,7 @@ inline void bgc_fp32_matrix3x3_interpolate(const BGC_FP32_Matrix3x3* first, cons
     interpolation->r3c3 = first->r3c3 * counter_phase + second->r3c3 * phase;
 }
 
-inline void bgc_fp64_matrix3x3_interpolate(const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase, BGC_FP64_Matrix3x3* interpolation)
+inline void bgc_fp64_matrix3x3_interpolate(BGC_FP64_Matrix3x3* interpolation, const BGC_FP64_Matrix3x3* first, const BGC_FP64_Matrix3x3* second, const double phase)
 {
     const double counter_phase = 1.0 - phase;
 
@@ -832,50 +832,50 @@ inline void bgc_fp64_matrix3x3_interpolate(const BGC_FP64_Matrix3x3* first, cons
 
 // ============ Left Vector Product ============= //
 
-inline void bgc_fp32_multiply_vector3_by_matrix3x3(const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix, BGC_FP32_Vector3* result)
+inline void bgc_fp32_multiply_vector3_by_matrix3x3(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix3x3* matrix)
 {
     const float x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
     const float x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
     const float x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3 + vector->x3 * matrix->r3c3;
 
-    result->x1 = x1;
+    product->x1 = x1;
-    result->x2 = x2;
+    product->x2 = x2;
-    result->x3 = x3;
+    product->x3 = x3;
 }
 
-inline void bgc_fp64_multiply_vector3_by_matrix3x3(const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix, BGC_FP64_Vector3* result)
+inline void bgc_fp64_multiply_vector3_by_matrix3x3(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix3x3* matrix)
 {
     const double x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
     const double x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
     const double x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3 + vector->x3 * matrix->r3c3;
 
-    result->x1 = x1;
+    product->x1 = x1;
-    result->x2 = x2;
+    product->x2 = x2;
-    result->x3 = x3;
+    product->x3 = x3;
 }
 
 // ============ Right Vector Product ============ //
 
-inline void bgc_fp32_multiply_matrix3x3_by_vector3(const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result)
+inline void bgc_fp32_multiply_matrix3x3_by_vector3(BGC_FP32_Vector3* product, const BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Vector3* vector)
 {
     const float x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
     const float x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
     const float x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2 + matrix->r3c3 * vector->x3;
 
-    result->x1 = x1;
+    product->x1 = x1;
-    result->x2 = x2;
+    product->x2 = x2;
-    result->x3 = x3;
+    product->x3 = x3;
 }
 
-inline void bgc_fp64_multiply_matrix3x3_by_vector3(const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result)
+inline void bgc_fp64_multiply_matrix3x3_by_vector3(BGC_FP64_Vector3* product, const BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Vector3* vector)
 {
     const double x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3;
     const double x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3;
     const double x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2 + matrix->r3c3 * vector->x3;
 
-    result->x1 = x1;
+    product->x1 = x1;
-    result->x2 = x2;
+    product->x2 = x2;
-    result->x3 = x3;
+    product->x3 = x3;
 }
 
 #endif

basic-geometry/matrixes.c

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

basic-geometry/position2.c

@@ -1,49 +1,49 @@
 #include "position2.h"
 
-extern inline void bgc_fp32_position2_reset(BGC_FP32_Position2 * node);
+extern inline void bgc_fp32_position2_reset(BGC_FP32_Position2* node);
-extern inline void bgc_fp64_position2_reset(BGC_FP64_Position2 * node);
+extern inline void bgc_fp64_position2_reset(BGC_FP64_Position2* node);
 
-extern inline void bgc_fp32_position2_make(const BGC_FP32_CotesNumber * turn, const BGC_FP32_Vector2 * shift, BGC_FP32_Position2 * position);
+extern inline void bgc_fp32_position2_make(BGC_FP32_Position2* position, const BGC_FP32_CotesNumber* turn, const BGC_FP32_Vector2* shift);
-extern inline void bgc_fp64_position2_make(const BGC_FP64_CotesNumber * turn, const BGC_FP64_Vector2 * shift, BGC_FP64_Position2 * position);
+extern inline void bgc_fp64_position2_make(BGC_FP64_Position2* position, const BGC_FP64_CotesNumber* turn, const BGC_FP64_Vector2* shift);
 
-extern inline void bgc_fp32_position2_copy(const BGC_FP32_Position2 * source, BGC_FP32_Position2 * destination);
+extern inline void bgc_fp32_position2_copy(BGC_FP32_Position2* destination, const BGC_FP32_Position2* source);
-extern inline void bgc_fp64_position2_copy(const BGC_FP64_Position2 * source, BGC_FP64_Position2 * destination);
+extern inline void bgc_fp64_position2_copy(BGC_FP64_Position2* destination, const BGC_FP64_Position2* source);
 
-extern inline void bgc_fp32_position2_swap(BGC_FP32_Position2 * first, BGC_FP32_Position2 * second);
+extern inline void bgc_fp32_position2_swap(BGC_FP32_Position2* first, BGC_FP32_Position2* second);
-extern inline void bgc_fp64_position2_swap(BGC_FP64_Position2 * first, BGC_FP64_Position2 * second);
+extern inline void bgc_fp64_position2_swap(BGC_FP64_Position2* first, BGC_FP64_Position2* second);
 
-extern inline void bgc_fp64_position2_convert_to_fp32(const BGC_FP64_Position2 * source, BGC_FP32_Position2 * destination);
+extern inline void bgc_fp64_position2_convert_to_fp32(BGC_FP32_Position2* destination, const BGC_FP64_Position2* source);
-extern inline void bgc_fp32_position2_convert_to_fp64(const BGC_FP32_Position2 * source, BGC_FP64_Position2 * destination);
+extern inline void bgc_fp32_position2_convert_to_fp64(BGC_FP64_Position2* destination, const BGC_FP32_Position2* source);
 
-extern inline int bgc_fp32_position2_is_idle(const BGC_FP32_Position2 * position);
+extern inline int bgc_fp32_position2_is_idle(const BGC_FP32_Position2* position);
-extern inline int bgc_fp64_position2_is_idle(const BGC_FP64_Position2 * position);
+extern inline int bgc_fp64_position2_is_idle(const BGC_FP64_Position2* position);
 
-extern inline void bgc_fp32_position2_invert(BGC_FP32_Position2 * position);
+extern inline void bgc_fp32_position2_invert(BGC_FP32_Position2* position);
-extern inline void bgc_fp64_position2_invert(BGC_FP64_Position2 * position);
+extern inline void bgc_fp64_position2_invert(BGC_FP64_Position2* position);
 
-extern inline void bgc_fp32_position2_get_inverse(const BGC_FP32_Position2 * position, BGC_FP32_Position2 * inverted);
+extern inline void bgc_fp32_position2_get_inverse(BGC_FP32_Position2* inverted, const BGC_FP32_Position2* position);
-extern inline void bgc_fp64_position2_get_inverse(const BGC_FP64_Position2 * position, BGC_FP64_Position2 * inverted);
+extern inline void bgc_fp64_position2_get_inverse(BGC_FP64_Position2* inverted, const BGC_FP64_Position2* position);
 
-extern inline void bgc_fp32_position2_combine(const BGC_FP32_Position2 * first, const BGC_FP32_Position2 * second, BGC_FP32_Position2 * combination);
+extern inline void bgc_fp32_position2_combine(BGC_FP32_Position2* combination, const BGC_FP32_Position2* first, const BGC_FP32_Position2* second);
-extern inline void bgc_fp64_position2_combine(const BGC_FP64_Position2 * first, const BGC_FP64_Position2 * second, BGC_FP64_Position2 * combination);
+extern inline void bgc_fp64_position2_combine(BGC_FP64_Position2* combination, const BGC_FP64_Position2* first, const BGC_FP64_Position2* second);
 
-extern inline void bgc_fp32_position2_exclude(const BGC_FP32_Position2 * base, const BGC_FP32_Position2 * excludand, BGC_FP32_Position2 * difference);
+extern inline void bgc_fp32_position2_exclude(BGC_FP32_Position2* difference, const BGC_FP32_Position2* base, const BGC_FP32_Position2* excludand);
-extern inline void bgc_fp64_position2_exclude(const BGC_FP64_Position2 * base, const BGC_FP64_Position2 * excludand, BGC_FP64_Position2 * difference);
+extern inline void bgc_fp64_position2_exclude(BGC_FP64_Position2* difference, const BGC_FP64_Position2* base, const BGC_FP64_Position2* excludand);
 
-extern inline void bgc_fp32_position2_get_outward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * outward_affine_map);
+extern inline void bgc_fp32_position2_get_outward_affine(BGC_FP32_Affine2* outward_affine_map, const BGC_FP32_Position2* position);
-extern inline void bgc_fp64_position2_get_outward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * outward_affine_map);
+extern inline void bgc_fp64_position2_get_outward_affine(BGC_FP64_Affine2* outward_affine_map, const BGC_FP64_Position2* position);
 
-extern inline void bgc_fp32_position2_get_inward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * inward_affine_map);
+extern inline void bgc_fp32_position2_get_inward_affine(BGC_FP32_Affine2* inward_affine_map, const BGC_FP32_Position2* position);
-extern inline void bgc_fp64_position2_get_inward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * inward_affine_map);
+extern inline void bgc_fp64_position2_get_inward_affine(BGC_FP64_Affine2* inward_affine_map, const BGC_FP64_Position2* position);
 
-extern inline void bgc_fp32_position2_transform_point_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_point, BGC_FP32_Vector2 * outer_point);
+extern inline void bgc_fp32_position2_transform_point_outwards(BGC_FP32_Vector2* outer_point, const BGC_FP32_Position2* position, const BGC_FP32_Vector2* inner_point);
-extern inline void bgc_fp64_position2_transform_point_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_point, BGC_FP64_Vector2 * outer_point);
+extern inline void bgc_fp64_position2_transform_point_outwards(BGC_FP64_Vector2* outer_point, const BGC_FP64_Position2* position, const BGC_FP64_Vector2* inner_point);
 
-extern inline void bgc_fp32_position2_transform_point_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_point, BGC_FP32_Vector2 * inner_point);
+extern inline void bgc_fp32_position2_transform_point_inwards(BGC_FP32_Vector2* inner_point, const BGC_FP32_Position2* position, const BGC_FP32_Vector2* outer_point);
-extern inline void bgc_fp64_position2_transform_point_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_point, BGC_FP64_Vector2 * inner_point);
+extern inline void bgc_fp64_position2_transform_point_inwards(BGC_FP64_Vector2* inner_point, const BGC_FP64_Position2* position, const BGC_FP64_Vector2* outer_point);
 
-extern inline void bgc_fp32_position2_transform_vector_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_vector, BGC_FP32_Vector2 * outer_vector);
+extern inline void bgc_fp32_position2_transform_vector_outwards(BGC_FP32_Vector2* outer_vector, const BGC_FP32_Position2* position, const BGC_FP32_Vector2* inner_vector);
-extern inline void bgc_fp64_position2_transform_vector_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_vector, BGC_FP64_Vector2 * outer_vector);
+extern inline void bgc_fp64_position2_transform_vector_outwards(BGC_FP64_Vector2* outer_vector, const BGC_FP64_Position2* position, const BGC_FP64_Vector2* inner_vector);
 
-extern inline void bgc_fp32_position2_transform_vector_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_vector, BGC_FP32_Vector2 * inner_vector);
+extern inline void bgc_fp32_position2_transform_vector_inwards(BGC_FP32_Vector2* inner_vector, const BGC_FP32_Position2* position, const BGC_FP32_Vector2* outer_vector);
-extern inline void bgc_fp64_position2_transform_vector_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_vector, BGC_FP64_Vector2 * inner_vector);
+extern inline void bgc_fp64_position2_transform_vector_inwards(BGC_FP64_Vector2* inner_vector, const BGC_FP64_Position2* position, const BGC_FP64_Vector2* outer_vector);

basic-geometry/position2.h

@@ -19,13 +19,13 @@ typedef struct {
 
 // ==================== Reset ==================== //
 
-inline void bgc_fp32_position2_reset(BGC_FP32_Position2 * position)
+inline void bgc_fp32_position2_reset(BGC_FP32_Position2* position)
 {
     bgc_fp32_cotes_number_reset(&position->turn);
     bgc_fp32_vector2_reset(&position->shift);
 }
 
-inline void bgc_fp64_position2_reset(BGC_FP64_Position2 * position)
+inline void bgc_fp64_position2_reset(BGC_FP64_Position2* position)
 {
     bgc_fp64_cotes_number_reset(&position->turn);
     bgc_fp64_vector2_reset(&position->shift);
@@ -33,31 +33,31 @@ inline void bgc_fp64_position2_reset(BGC_FP64_Position2 * position)
 
 // ==================== Make ===================== //
 
-inline void bgc_fp32_position2_make(const BGC_FP32_CotesNumber * turn, const BGC_FP32_Vector2 * shift, BGC_FP32_Position2 * position)
+inline void bgc_fp32_position2_make(BGC_FP32_Position2* position, const BGC_FP32_CotesNumber* turn, const BGC_FP32_Vector2* shift)
 {
-    bgc_fp32_cotes_number_copy(turn, &position->turn);
+    bgc_fp32_cotes_number_copy(&position->turn, turn);
-    bgc_fp32_vector2_copy(shift, &position->shift);
+    bgc_fp32_vector2_copy(&position->shift, shift);
 }
 
-inline void bgc_fp64_position2_make(const BGC_FP64_CotesNumber * turn, const BGC_FP64_Vector2 * shift, BGC_FP64_Position2 * position)
+inline void bgc_fp64_position2_make(BGC_FP64_Position2* position, const BGC_FP64_CotesNumber* turn, const BGC_FP64_Vector2* shift)
 {
-    bgc_fp64_cotes_number_copy(turn, &position->turn);
+    bgc_fp64_cotes_number_copy(&position->turn, turn);
-    bgc_fp64_vector2_copy(shift, &position->shift);
+    bgc_fp64_vector2_copy(&position->shift, shift);
 }
 
 
 // ==================== Copy ===================== //
 
-inline void bgc_fp32_position2_copy(const BGC_FP32_Position2 * source, BGC_FP32_Position2 * destination)
+inline void bgc_fp32_position2_copy(BGC_FP32_Position2* destination, const BGC_FP32_Position2* source)
 {
-    bgc_fp32_cotes_number_copy(&source->turn, &destination->turn);
+    bgc_fp32_cotes_number_copy(&destination->turn, &source->turn);
-    bgc_fp32_vector2_copy(&source->shift, &destination->shift);
+    bgc_fp32_vector2_copy(&destination->shift, &source->shift);
 }
 
-inline void bgc_fp64_position2_copy(const BGC_FP64_Position2 * source, BGC_FP64_Position2 * destination)
+inline void bgc_fp64_position2_copy(BGC_FP64_Position2* destination, const BGC_FP64_Position2* source)
 {
-    bgc_fp64_cotes_number_copy(&source->turn, &destination->turn);
+    bgc_fp64_cotes_number_copy(&destination->turn, &source->turn);
-    bgc_fp64_vector2_copy(&source->shift, &destination->shift);
+    bgc_fp64_vector2_copy(&destination->shift, &source->shift);
 }
 
 // ==================== Swap ===================== //
@@ -76,16 +76,16 @@ inline void bgc_fp64_position2_swap(BGC_FP64_Position2 * first, BGC_FP64_Positio
 
 // =================== Convert =================== //
 
-inline void bgc_fp64_position2_convert_to_fp32(const BGC_FP64_Position2 * source, BGC_FP32_Position2 * destination)
+inline void bgc_fp64_position2_convert_to_fp32(BGC_FP32_Position2* destination, const BGC_FP64_Position2 * source)
 {
-    bgc_fp64_cotes_number_convert_to_fp32(&source->turn, &destination->turn);
+    bgc_fp64_cotes_number_convert_to_fp32(&destination->turn, &source->turn);
-    bgc_fp64_vector2_convert_to_fp32(&source->shift, &destination->shift);
+    bgc_fp64_vector2_convert_to_fp32(&destination->shift, &source->shift);
 }
 
-inline void bgc_fp32_position2_convert_to_fp64(const BGC_FP32_Position2 * source, BGC_FP64_Position2 * destination)
+inline void bgc_fp32_position2_convert_to_fp64(BGC_FP64_Position2* destination, const BGC_FP32_Position2 * source)
 {
-    bgc_fp32_cotes_number_convert_to_fp64(&source->turn, &destination->turn);
+    bgc_fp32_cotes_number_convert_to_fp64(&destination->turn, &source->turn);
-    bgc_fp32_vector2_convert_to_fp64(&source->shift, &destination->shift);
+    bgc_fp32_vector2_convert_to_fp64(&destination->shift, &source->shift);
 }
 
 // =================== Is Idle =================== //
@@ -104,156 +104,156 @@ inline int bgc_fp64_position2_is_idle(const BGC_FP64_Position2 * position)
 
 inline void bgc_fp32_position2_invert(BGC_FP32_Position2 * position)
 {
-    bgc_fp32_cotes_number_turn_vector_back(&position->turn, &position->shift, &position->shift);
+    bgc_fp32_cotes_number_turn_vector_back(&position->shift, &position->turn, &position->shift);
     bgc_fp32_cotes_number_revert(&position->turn);
     bgc_fp32_vector2_revert(&position->shift);
 }
 
 inline void bgc_fp64_position2_invert(BGC_FP64_Position2 * position)
 {
-    bgc_fp64_cotes_number_turn_vector_back(&position->turn, &position->shift, &position->shift);
+    bgc_fp64_cotes_number_turn_vector_back(&position->shift, &position->turn, &position->shift);
     bgc_fp64_cotes_number_revert(&position->turn);
     bgc_fp64_vector2_revert(&position->shift);
 }
 
 // ================= Get Inverse ================= //
 
-inline void bgc_fp32_position2_get_inverse(const BGC_FP32_Position2 * position, BGC_FP32_Position2 * inverted)
+inline void bgc_fp32_position2_get_inverse(BGC_FP32_Position2* inverted, const BGC_FP32_Position2 * position)
 {
-    bgc_fp32_cotes_number_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
+    bgc_fp32_cotes_number_turn_vector_back(&inverted->shift, &position->turn, &position->shift);
-    bgc_fp32_cotes_number_get_reverse(&position->turn, &inverted->turn);
+    bgc_fp32_cotes_number_get_reverse(&inverted->turn, &position->turn);
     bgc_fp32_vector2_revert(&inverted->shift);
 }
 
-inline void bgc_fp64_position2_get_inverse(const BGC_FP64_Position2 * position, BGC_FP64_Position2 * inverted)
+inline void bgc_fp64_position2_get_inverse(BGC_FP64_Position2* inverted, const BGC_FP64_Position2 * position)
 {
-    bgc_fp64_cotes_number_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
+    bgc_fp64_cotes_number_turn_vector_back(&inverted->shift, &position->turn, &position->shift);
-    bgc_fp64_cotes_number_get_inverse(&position->turn, &inverted->turn);
+    bgc_fp64_cotes_number_get_reverse(&inverted->turn, &position->turn);
     bgc_fp64_vector2_revert(&inverted->shift);
 }
 
 // =================== Combine =================== //
 
-inline void bgc_fp32_position2_combine(const BGC_FP32_Position2 * first, const BGC_FP32_Position2 * second, BGC_FP32_Position2 * combination)
+inline void bgc_fp32_position2_combine(BGC_FP32_Position2* combination, const BGC_FP32_Position2 * first, const BGC_FP32_Position2 * second)
 {
     BGC_FP32_Vector2 relative_shift;
-    bgc_fp32_cotes_number_turn_vector(&second->turn, &first->shift, &relative_shift);
+    bgc_fp32_cotes_number_turn_vector(&relative_shift, &second->turn, &first->shift);
-    bgc_fp32_cotes_number_combine(&first->turn, &second->turn, &combination->turn);
+    bgc_fp32_cotes_number_combine(&combination->turn, &first->turn, &second->turn);
-    bgc_fp32_vector2_add(&relative_shift, &second->shift, &combination->shift);
+    bgc_fp32_vector2_add(&combination->shift, &second->shift, &relative_shift);
 }
 
-inline void bgc_fp64_position2_combine(const BGC_FP64_Position2 * first, const BGC_FP64_Position2 * second, BGC_FP64_Position2 * combination)
+inline void bgc_fp64_position2_combine(BGC_FP64_Position2* combination, const BGC_FP64_Position2 * first, const BGC_FP64_Position2 * second)
 {
     BGC_FP64_Vector2 relative_shift;
-    bgc_fp64_cotes_number_turn_vector(&second->turn, &first->shift, &relative_shift);
+    bgc_fp64_cotes_number_turn_vector(&relative_shift, &second->turn, &first->shift);
-    bgc_fp64_cotes_number_combine(&first->turn, &second->turn, &combination->turn);
+    bgc_fp64_cotes_number_combine(&combination->turn, &first->turn, &second->turn);
-    bgc_fp64_vector2_add(&relative_shift, &second->shift, &combination->shift);
+    bgc_fp64_vector2_add(&combination->shift, &second->shift, &relative_shift);
 }
 
 // =================== Exclude =================== //
 
-inline void bgc_fp32_position2_exclude(const BGC_FP32_Position2 * base, const BGC_FP32_Position2 * excludand, BGC_FP32_Position2 * difference)
+inline void bgc_fp32_position2_exclude(BGC_FP32_Position2* difference, const BGC_FP32_Position2 * base, const BGC_FP32_Position2 * excludand)
 {
     BGC_FP32_Vector2 relative_shift;
-    bgc_fp32_vector2_subtract(&base->shift, &excludand->shift, &relative_shift);
+    bgc_fp32_vector2_subtract(&relative_shift, &base->shift, &excludand->shift);
-    bgc_fp32_cotes_number_turn_vector_back(&excludand->turn, &relative_shift, &difference->shift);
+    bgc_fp32_cotes_number_turn_vector_back(&difference->shift, &excludand->turn, &relative_shift);
-    bgc_fp32_cotes_number_exclude(&base->turn, &excludand->turn, &difference->turn);
+    bgc_fp32_cotes_number_exclude(&difference->turn, &base->turn, &excludand->turn);
 }
 
-inline void bgc_fp64_position2_exclude(const BGC_FP64_Position2 * base, const BGC_FP64_Position2 * excludand, BGC_FP64_Position2 * difference)
+inline void bgc_fp64_position2_exclude(BGC_FP64_Position2* difference, const BGC_FP64_Position2 * base, const BGC_FP64_Position2 * excludand)
 {
     BGC_FP64_Vector2 relative_shift;
-    bgc_fp64_vector2_subtract(&base->shift, &excludand->shift, &relative_shift);
+    bgc_fp64_vector2_subtract(&relative_shift, &base->shift, &excludand->shift);
-    bgc_fp64_cotes_number_turn_vector_back(&excludand->turn, &relative_shift, &difference->shift);
+    bgc_fp64_cotes_number_turn_vector_back(&difference->shift, &excludand->turn, &relative_shift);
-    bgc_fp64_cotes_number_exclude(&base->turn, &excludand->turn, &difference->turn);
+    bgc_fp64_cotes_number_exclude(&difference->turn, &base->turn, &excludand->turn);
 }
 
 // ============= Get Outward Affine ============== //
 
-inline void bgc_fp32_position2_get_outward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * outward_affine_map)
+inline void bgc_fp32_position2_get_outward_affine(BGC_FP32_Affine2* outward_affine_map, const BGC_FP32_Position2 * position)
 {
-    bgc_fp32_cotes_number_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
+    bgc_fp32_cotes_number_get_rotation_matrix(&outward_affine_map->distortion, &position->turn);
-    bgc_fp32_vector2_copy(&position->shift, &outward_affine_map->shift);
+    bgc_fp32_vector2_copy(&outward_affine_map->shift, &position->shift);
 }
 
-inline void bgc_fp64_position2_get_outward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * outward_affine_map)
+inline void bgc_fp64_position2_get_outward_affine(BGC_FP64_Affine2* outward_affine_map, const BGC_FP64_Position2 * position)
 {
-    bgc_fp64_cotes_number_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
+    bgc_fp64_cotes_number_get_rotation_matrix(&outward_affine_map->distortion, &position->turn);
-    bgc_fp64_vector2_copy(&position->shift, &outward_affine_map->shift);
+    bgc_fp64_vector2_copy(&outward_affine_map->shift, &position->shift);
 }
 
 // ============== Get Inward Affine ============== //
 
-inline void bgc_fp32_position2_get_inward_affine(const BGC_FP32_Position2 * position, BGC_FP32_Affine2 * inward_affine_map)
+inline void bgc_fp32_position2_get_inward_affine(BGC_FP32_Affine2* inward_affine_map, const BGC_FP32_Position2 * position)
 {
-    bgc_fp32_cotes_number_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
+    bgc_fp32_cotes_number_get_reverse_matrix(&inward_affine_map->distortion, &position->turn);
-    bgc_fp32_multiply_matrix2x2_by_vector2(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
+    bgc_fp32_multiply_matrix2x2_by_vector2(&inward_affine_map->shift, &inward_affine_map->distortion, &position->shift);
     bgc_fp32_vector2_revert(&inward_affine_map->shift);
 }
 
-inline void bgc_fp64_position2_get_inward_affine(const BGC_FP64_Position2 * position, BGC_FP64_Affine2 * inward_affine_map)
+inline void bgc_fp64_position2_get_inward_affine(BGC_FP64_Affine2* inward_affine_map, const BGC_FP64_Position2 * position)
 {
-    bgc_fp64_cotes_number_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
+    bgc_fp64_cotes_number_get_reverse_matrix(&inward_affine_map->distortion, &position->turn);
-    bgc_fp64_multiply_matrix2x2_by_vector2(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
+    bgc_fp64_multiply_matrix2x2_by_vector2(&inward_affine_map->shift, &inward_affine_map->distortion, &position->shift);
     bgc_fp64_vector2_revert(&inward_affine_map->shift);
 }
 
 // ========== Transform Point Outwards =========== //
 
-inline void bgc_fp32_position2_transform_point_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_point, BGC_FP32_Vector2 * outer_point)
+inline void bgc_fp32_position2_transform_point_outwards(BGC_FP32_Vector2* outer_point, const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_point)
 {
     BGC_FP32_Vector2 turned_point;
-    bgc_fp32_cotes_number_turn_vector(&position->turn, inner_point, &turned_point);
+    bgc_fp32_cotes_number_turn_vector(&turned_point, &position->turn, inner_point);
-    bgc_fp32_vector2_add(&position->shift, &turned_point, outer_point);
+    bgc_fp32_vector2_add(outer_point, &position->shift, &turned_point);
 }
 
-inline void bgc_fp64_position2_transform_point_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_point, BGC_FP64_Vector2 * outer_point)
+inline void bgc_fp64_position2_transform_point_outwards(BGC_FP64_Vector2* outer_point, const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_point)
 {
     BGC_FP64_Vector2 turned_point;
-    bgc_fp64_cotes_number_turn_vector(&position->turn, inner_point, &turned_point);
+    bgc_fp64_cotes_number_turn_vector(&turned_point, &position->turn, inner_point);
-    bgc_fp64_vector2_add(&position->shift, &turned_point, outer_point);
+    bgc_fp64_vector2_add(outer_point, &position->shift, &turned_point);
 }
 
 // =========== Transform Point Inwards =========== //
 
-inline void bgc_fp32_position2_transform_point_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_point, BGC_FP32_Vector2 * inner_point)
+inline void bgc_fp32_position2_transform_point_inwards(BGC_FP32_Vector2* inner_point, const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_point)
 {
     BGC_FP32_Vector2 relative_point;
-    bgc_fp32_vector2_subtract(outer_point, &position->shift, &relative_point);
+    bgc_fp32_vector2_subtract(&relative_point, outer_point, &position->shift);
-    bgc_fp32_cotes_number_turn_vector_back(&position->turn, &relative_point, inner_point);
+    bgc_fp32_cotes_number_turn_vector_back(inner_point, &position->turn, &relative_point);
 
 }
 
-inline void bgc_fp64_position2_transform_point_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_point, BGC_FP64_Vector2 * inner_point)
+inline void bgc_fp64_position2_transform_point_inwards(BGC_FP64_Vector2* inner_point, const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_point)
 {
     BGC_FP64_Vector2 relative_point;
-    bgc_fp64_vector2_subtract(outer_point, &position->shift, &relative_point);
+    bgc_fp64_vector2_subtract(&relative_point, outer_point, &position->shift);
-    bgc_fp64_cotes_number_turn_vector_back(&position->turn, &relative_point, inner_point);
+    bgc_fp64_cotes_number_turn_vector_back(inner_point, &position->turn, &relative_point);
 
 }
 
 // ========== Transform Vector Outwards ========== //
 
-inline void bgc_fp32_position2_transform_vector_outwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_vector, BGC_FP32_Vector2 * outer_vector)
+inline void bgc_fp32_position2_transform_vector_outwards(BGC_FP32_Vector2* outer_vector, const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * inner_vector)
 {
-    bgc_fp32_cotes_number_turn_vector(&position->turn, inner_vector, outer_vector);
+    bgc_fp32_cotes_number_turn_vector(outer_vector, &position->turn, inner_vector);
 }
 
-inline void bgc_fp64_position2_transform_vector_outwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_vector, BGC_FP64_Vector2 * outer_vector)
+inline void bgc_fp64_position2_transform_vector_outwards(BGC_FP64_Vector2* outer_vector, const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * inner_vector)
 {
-    bgc_fp64_cotes_number_turn_vector(&position->turn, inner_vector, outer_vector);
+    bgc_fp64_cotes_number_turn_vector(outer_vector, &position->turn, inner_vector);
 }
 
 // ========== Transform Vector Inwards =========== //
 
-inline void bgc_fp32_position2_transform_vector_inwards(const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_vector, BGC_FP32_Vector2 * inner_vector)
+inline void bgc_fp32_position2_transform_vector_inwards(BGC_FP32_Vector2* inner_vector, const BGC_FP32_Position2 * position, const BGC_FP32_Vector2 * outer_vector)
 {
-    bgc_fp32_cotes_number_turn_vector_back(&position->turn, outer_vector, inner_vector);
+    bgc_fp32_cotes_number_turn_vector_back(inner_vector, &position->turn, outer_vector);
 }
 
-inline void bgc_fp64_position2_transform_vector_inwards(const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_vector, BGC_FP64_Vector2 * inner_vector)
+inline void bgc_fp64_position2_transform_vector_inwards(BGC_FP64_Vector2* inner_vector, const BGC_FP64_Position2 * position, const BGC_FP64_Vector2 * outer_vector)
 {
-    bgc_fp64_cotes_number_turn_vector_back(&position->turn, outer_vector, inner_vector);
+    bgc_fp64_cotes_number_turn_vector_back(inner_vector, &position->turn, outer_vector);
 }
 
 #endif

basic-geometry/position3.c

@@ -3,17 +3,17 @@
 extern inline void bgc_fp32_position3_reset(BGC_FP32_Position3 * node);
 extern inline void bgc_fp64_position3_reset(BGC_FP64_Position3 * node);
 
-extern inline void bgc_fp32_position3_make(const BGC_FP32_Versor * turn, const BGC_FP32_Vector3 * shift, BGC_FP32_Position3 * position);
+extern inline void bgc_fp32_position3_make(BGC_FP32_Position3* position, const BGC_FP32_Versor* turn, const BGC_FP32_Vector3* shift);
-extern inline void bgc_fp64_position3_make(const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift, BGC_FP64_Position3 * position);
+extern inline void bgc_fp64_position3_make(BGC_FP64_Position3* position, const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift);
 
-extern inline void bgc_fp32_position3_copy(const BGC_FP32_Position3 * source, BGC_FP32_Position3 * destination);
+extern inline void bgc_fp32_position3_copy(BGC_FP32_Position3* destination, const BGC_FP32_Position3* source);
-extern inline void bgc_fp64_position3_copy(const BGC_FP64_Position3 * source, BGC_FP64_Position3 * destination);
+extern inline void bgc_fp64_position3_copy(BGC_FP64_Position3* destination, const BGC_FP64_Position3 * source);
 
 extern inline void bgc_fp32_position3_swap(BGC_FP32_Position3 * first, BGC_FP32_Position3 * second);
 extern inline void bgc_fp64_position3_swap(BGC_FP64_Position3 * first, BGC_FP64_Position3 * second);
 
-extern inline void bgc_fp64_position3_convert_to_fp32(const BGC_FP64_Position3 * source, BGC_FP32_Position3 * destination);
+extern inline void bgc_fp32_position3_convert_to_fp64(BGC_FP64_Position3* destination,const BGC_FP32_Position3 * source);
-extern inline void bgc_fp32_position3_convert_to_fp64(const BGC_FP32_Position3 * source, BGC_FP64_Position3 * destination);
+extern inline void bgc_fp64_position3_convert_to_fp32(BGC_FP32_Position3* destination, const BGC_FP64_Position3* source);
 
 extern inline int bgc_fp32_position3_is_idle(const BGC_FP32_Position3 * position);
 extern inline int bgc_fp64_position3_is_idle(const BGC_FP64_Position3 * position);
@@ -21,29 +21,29 @@ extern inline int bgc_fp64_position3_is_idle(const BGC_FP64_Position3 * position
 extern inline void bgc_fp32_position3_invert(BGC_FP32_Position3 * position);
 extern inline void bgc_fp64_position3_invert(BGC_FP64_Position3 * position);
 
-extern inline void bgc_fp32_position3_get_inverse(const BGC_FP32_Position3 * position, BGC_FP32_Position3 * inverted);
+extern inline void bgc_fp32_position3_get_inverse(BGC_FP32_Position3* inverse, const BGC_FP32_Position3* position);
-extern inline void bgc_fp64_position3_get_inverse(const BGC_FP64_Position3 * position, BGC_FP64_Position3 * inverted);
+extern inline void bgc_fp64_position3_get_inverse(BGC_FP64_Position3* inverse, const BGC_FP64_Position3 * position);
 
-extern inline void bgc_fp32_position3_combine(const BGC_FP32_Position3 * first, const BGC_FP32_Position3 * second, BGC_FP32_Position3 * combination);
+extern inline void bgc_fp32_position3_combine(BGC_FP32_Position3* combination, const BGC_FP32_Position3* first, const BGC_FP32_Position3* second);
-extern inline void bgc_fp64_position3_combine(const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second, BGC_FP64_Position3 * combination);
+extern inline void bgc_fp64_position3_combine(BGC_FP64_Position3* combination, const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second);
 
-extern inline void bgc_fp32_position3_exclude(const BGC_FP32_Position3 * base, const BGC_FP32_Position3 * excludant, BGC_FP32_Position3 * difference);
+extern inline void bgc_fp32_position3_exclude(BGC_FP32_Position3* difference, const BGC_FP32_Position3* base, const BGC_FP32_Position3* excludant);
-extern inline void bgc_fp64_position3_exclude(const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant, BGC_FP64_Position3 * difference);
+extern inline void bgc_fp64_position3_exclude(BGC_FP64_Position3* difference, const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant);
 
-extern inline void bgc_fp32_position3_get_outward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * outward_affine_map);
+extern inline void bgc_fp32_position3_get_outward_affine(BGC_FP32_Affine3* outward_affine_map, const BGC_FP32_Position3* position);
-extern inline void bgc_fp64_position3_get_outward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * outward_affine_map);
+extern inline void bgc_fp64_position3_get_outward_affine(BGC_FP64_Affine3* outward_affine_map, const BGC_FP64_Position3 * position);
 
-extern inline void bgc_fp32_position3_get_inward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * inward_affine_map);
+extern inline void bgc_fp32_position3_get_inward_affine(BGC_FP32_Affine3* inward_affine_map, const BGC_FP32_Position3* position);
-extern inline void bgc_fp64_position3_get_inward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * inward_affine_map);
+extern inline void bgc_fp64_position3_get_inward_affine(BGC_FP64_Affine3* inward_affine_map, const BGC_FP64_Position3 * position);
 
-extern inline void bgc_fp32_position3_transform_point_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_point, BGC_FP32_Vector3 * outer_point);
+extern inline void bgc_fp32_position3_transform_point_outwards(BGC_FP32_Vector3* outer_point, const BGC_FP32_Position3* position, const BGC_FP32_Vector3* inner_point);
-extern inline void bgc_fp64_position3_transform_point_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point, BGC_FP64_Vector3 * outer_point);
+extern inline void bgc_fp64_position3_transform_point_outwards(BGC_FP64_Vector3* outer_point, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point);
 
-extern inline void bgc_fp32_position3_transform_point_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_point, BGC_FP32_Vector3 * inner_point);
+extern inline void bgc_fp32_position3_transform_point_inwards(BGC_FP32_Vector3* inner_point, const BGC_FP32_Position3* position, const BGC_FP32_Vector3* outer_point);
-extern inline void bgc_fp64_position3_transform_point_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point, BGC_FP64_Vector3 * inner_point);
+extern inline void bgc_fp64_position3_transform_point_inwards(BGC_FP64_Vector3* inner_point, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point);
 
-extern inline void bgc_fp32_position3_transform_vector_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_vector, BGC_FP32_Vector3 * outer_vector);
+extern inline void bgc_fp32_position3_transform_vector_outwards(BGC_FP32_Vector3* outer_vector, const BGC_FP32_Position3* position, const BGC_FP32_Vector3* inner_vector);
-extern inline void bgc_fp64_position3_transform_vector_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector, BGC_FP64_Vector3 * outer_vector);
+extern inline void bgc_fp64_position3_transform_vector_outwards(BGC_FP64_Vector3* outer_vector, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector);
 
-extern inline void bgc_fp32_position3_transform_vector_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_vector, BGC_FP32_Vector3 * inner_vector);
+extern inline void bgc_fp32_position3_transform_vector_inwards(BGC_FP32_Vector3* inner_vector, const BGC_FP32_Position3* position, const BGC_FP32_Vector3* outer_vector);
-extern inline void bgc_fp64_position3_transform_vector_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector, BGC_FP64_Vector3 * inner_vector);
+extern inline void bgc_fp64_position3_transform_vector_inwards(BGC_FP64_Vector3* inner_vector, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector);

basic-geometry/position3.h

@@ -33,30 +33,30 @@ inline void bgc_fp64_position3_reset(BGC_FP64_Position3 * position)
 
 // ==================== Make ===================== //
 
-inline void bgc_fp32_position3_make(const BGC_FP32_Versor * turn, const BGC_FP32_Vector3 * shift, BGC_FP32_Position3 * position)
+inline void bgc_fp32_position3_make(BGC_FP32_Position3* position, const BGC_FP32_Versor * turn, const BGC_FP32_Vector3 * shift)
 {
-    bgc_fp32_versor_copy(turn, &position->turn);
+    bgc_fp32_versor_copy(&position->turn, turn);
-    bgc_fp32_vector3_copy(shift, &position->shift);
+    bgc_fp32_vector3_copy(&position->shift, shift);
 }
 
-inline void bgc_fp64_position3_make(const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift, BGC_FP64_Position3 * position)
+inline void bgc_fp64_position3_make(BGC_FP64_Position3* position, const BGC_FP64_Versor * turn, const BGC_FP64_Vector3 * shift)
 {
-    bgc_fp64_versor_copy(turn, &position->turn);
+    bgc_fp64_versor_copy(&position->turn, turn);
-    bgc_fp64_vector3_copy(shift, &position->shift);
+    bgc_fp64_vector3_copy(&position->shift, shift);
 }
 
 // ==================== Copy ===================== //
 
-inline void bgc_fp32_position3_copy(const BGC_FP32_Position3 * source, BGC_FP32_Position3 * destination)
+inline void bgc_fp32_position3_copy(BGC_FP32_Position3* destination, const BGC_FP32_Position3 * source)
 {
-    bgc_fp32_versor_copy(&source->turn, &destination->turn);
+    bgc_fp32_versor_copy(&destination->turn, &source->turn);
-    bgc_fp32_vector3_copy(&source->shift, &destination->shift);
+    bgc_fp32_vector3_copy(&destination->shift, &source->shift);
 }
 
-inline void bgc_fp64_position3_copy(const BGC_FP64_Position3 * source, BGC_FP64_Position3 * destination)
+inline void bgc_fp64_position3_copy(BGC_FP64_Position3* destination, const BGC_FP64_Position3 * source)
 {
-    bgc_fp64_versor_copy(&source->turn, &destination->turn);
+    bgc_fp64_versor_copy(&destination->turn, &source->turn);
-    bgc_fp64_vector3_copy(&source->shift, &destination->shift);
+    bgc_fp64_vector3_copy(&destination->shift, &source->shift);
 }
 
 // ==================== Swap ===================== //
@@ -75,16 +75,16 @@ inline void bgc_fp64_position3_swap(BGC_FP64_Position3 * first, BGC_FP64_Positio
 
 // =================== Convert =================== //
 
-inline void bgc_fp64_position3_convert_to_fp32(const BGC_FP64_Position3 * source, BGC_FP32_Position3 * destination)
+inline void bgc_fp32_position3_convert_to_fp64(BGC_FP64_Position3* destination, const BGC_FP32_Position3 * source)
 {
-    bgc_fp64_versor_convert_to_fp32(&source->turn, &destination->turn);
+    bgc_fp32_versor_convert_to_fp64(&destination->turn, &source->turn);
-    bgc_fp64_vector3_convert_to_fp32(&source->shift, &destination->shift);
+    bgc_fp32_vector3_convert_to_fp64(&destination->shift, &source->shift);
 }
 
-inline void bgc_fp32_position3_convert_to_fp64(const BGC_FP32_Position3 * source, BGC_FP64_Position3 * destination)
+inline void bgc_fp64_position3_convert_to_fp32(BGC_FP32_Position3* destination, const BGC_FP64_Position3* source)
 {
-    bgc_fp32_versor_convert_to_fp64(&source->turn, &destination->turn);
+    bgc_fp64_versor_convert_to_fp32(&destination->turn, &source->turn);
-    bgc_fp32_vector3_convert_to_fp64(&source->shift, &destination->shift);
+    bgc_fp64_vector3_convert_to_fp32(&destination->shift, &source->shift);
 }
 
 // =================== Is Idle =================== //
@@ -103,156 +103,156 @@ inline int bgc_fp64_position3_is_idle(const BGC_FP64_Position3 * position)
 
 inline void bgc_fp32_position3_invert(BGC_FP32_Position3 * position)
 {
-    bgc_fp32_versor_turn_vector_back(&position->turn, &position->shift, &position->shift);
+    bgc_fp32_versor_turn_vector_back(&position->shift, &position->turn, &position->shift);
     bgc_fp32_versor_revert(&position->turn);
     bgc_fp32_vector3_revert(&position->shift);
 }
 
 inline void bgc_fp64_position3_invert(BGC_FP64_Position3 * position)
 {
-    bgc_fp64_versor_turn_vector_back(&position->turn, &position->shift, &position->shift);
+    bgc_fp64_versor_turn_vector_back(&position->shift, &position->turn, &position->shift);
     bgc_fp64_versor_revert(&position->turn);
     bgc_fp64_vector3_revert(&position->shift);
 }
 
 // ================= Get Inverse ================= //
 
-inline void bgc_fp32_position3_get_inverse(const BGC_FP32_Position3 * position, BGC_FP32_Position3 * inverted)
+inline void bgc_fp32_position3_get_inverse(BGC_FP32_Position3* inverse, const BGC_FP32_Position3 * position)
 {
-    bgc_fp32_versor_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
+    bgc_fp32_versor_turn_vector_back(&inverse->shift, &position->turn, &position->shift);
-    bgc_fp32_versor_get_reverse(&position->turn, &inverted->turn);
+    bgc_fp32_versor_get_reverse(&inverse->turn, &position->turn);
-    bgc_fp32_vector3_revert(&inverted->shift);
+    bgc_fp32_vector3_revert(&inverse->shift);
 }
 
-inline void bgc_fp64_position3_get_inverse(const BGC_FP64_Position3 * position, BGC_FP64_Position3 * inverted)
+inline void bgc_fp64_position3_get_inverse(BGC_FP64_Position3* inverse, const BGC_FP64_Position3 * position)
 {
-    bgc_fp64_versor_turn_vector_back(&position->turn, &position->shift, &inverted->shift);
+    bgc_fp64_versor_turn_vector_back(&inverse->shift, &position->turn, &position->shift);
-    bgc_fp64_versor_get_reverse(&position->turn, &inverted->turn);
+    bgc_fp64_versor_get_reverse(&inverse->turn, &position->turn);
-    bgc_fp64_vector3_revert(&inverted->shift);
+    bgc_fp64_vector3_revert(&inverse->shift);
 }
 
 // =================== Combine =================== //
 
-inline void bgc_fp32_position3_combine(const BGC_FP32_Position3 * first, const BGC_FP32_Position3 * second, BGC_FP32_Position3 * combination)
+inline void bgc_fp32_position3_combine(BGC_FP32_Position3* combination, const BGC_FP32_Position3 * first, const BGC_FP32_Position3 * second)
 {
     BGC_FP32_Vector3 relative_shift;
-    bgc_fp32_versor_turn_vector(&second->turn, &first->shift, &relative_shift);
+    bgc_fp32_versor_turn_vector(&relative_shift, &second->turn, &first->shift);
-    bgc_fp32_versor_combine(&first->turn, &second->turn, &combination->turn);
+    bgc_fp32_versor_combine(&combination->turn, &first->turn, &second->turn);
-    bgc_fp32_vector3_add(&relative_shift, &second->shift, &combination->shift);
+    bgc_fp32_vector3_add(&combination->shift, &relative_shift, &second->shift);
 }
 
-inline void bgc_fp64_position3_combine(const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second, BGC_FP64_Position3 * combination)
+inline void bgc_fp64_position3_combine(BGC_FP64_Position3* combination, const BGC_FP64_Position3 * first, const BGC_FP64_Position3 * second)
 {
     BGC_FP64_Vector3 relative_shift;
-    bgc_fp64_versor_turn_vector(&second->turn, &first->shift, &relative_shift);
+    bgc_fp64_versor_turn_vector(&relative_shift, &second->turn, &first->shift);
-    bgc_fp64_versor_combine(&first->turn, &second->turn, &combination->turn);
+    bgc_fp64_versor_combine(&combination->turn, &first->turn, &second->turn);
-    bgc_fp64_vector3_add(&relative_shift, &second->shift, &combination->shift);
+    bgc_fp64_vector3_add(&combination->shift, &relative_shift, &second->shift);
 }
 
 // =================== Exclude =================== //
 
-inline void bgc_fp32_position3_exclude(const BGC_FP32_Position3 * base, const BGC_FP32_Position3 * excludant, BGC_FP32_Position3 * difference)
+inline void bgc_fp32_position3_exclude(BGC_FP32_Position3* difference, const BGC_FP32_Position3 * base, const BGC_FP32_Position3 * excludant)
 {
     BGC_FP32_Vector3 relative_shift;
-    bgc_fp32_vector3_subtract(&base->shift, &excludant->shift, &relative_shift);
+    bgc_fp32_vector3_subtract(&relative_shift, &base->shift, &excludant->shift);
-    bgc_fp32_versor_turn_vector_back(&excludant->turn, &relative_shift, &difference->shift);
+    bgc_fp32_versor_turn_vector_back(&difference->shift, &excludant->turn, &relative_shift);
-    bgc_fp32_versor_exclude(&base->turn, &excludant->turn, &difference->turn);
+    bgc_fp32_versor_exclude(&difference->turn, &base->turn, &excludant->turn);
 }
 
-inline void bgc_fp64_position3_exclude(const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant, BGC_FP64_Position3 * difference)
+inline void bgc_fp64_position3_exclude(BGC_FP64_Position3* difference, const BGC_FP64_Position3 * base, const BGC_FP64_Position3 * excludant)
 {
     BGC_FP64_Vector3 relative_shift;
-    bgc_fp64_vector3_subtract(&base->shift, &excludant->shift, &relative_shift);
+    bgc_fp64_vector3_subtract(&relative_shift, &base->shift, &excludant->shift);
-    bgc_fp64_versor_turn_vector_back(&excludant->turn, &relative_shift, &difference->shift);
+    bgc_fp64_versor_turn_vector_back(&difference->shift, &excludant->turn, &relative_shift);
-    bgc_fp64_versor_exclude(&base->turn, &excludant->turn, &difference->turn);
+    bgc_fp64_versor_exclude(&difference->turn, &base->turn, &excludant->turn);
 }
 
 // ============= Get Outward Affine ============== //
 
-inline void bgc_fp32_position3_get_outward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * outward_affine_map)
+inline void bgc_fp32_position3_get_outward_affine(BGC_FP32_Affine3* outward_affine_map, const BGC_FP32_Position3 * position)
 {
-    bgc_fp32_versor_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
+    bgc_fp32_versor_get_rotation_matrix(&outward_affine_map->distortion, &position->turn);
-    bgc_fp32_vector3_copy(&position->shift, &outward_affine_map->shift);
+    bgc_fp32_vector3_copy(&outward_affine_map->shift, &position->shift);
 }
 
-inline void bgc_fp64_position3_get_outward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * outward_affine_map)
+inline void bgc_fp64_position3_get_outward_affine(BGC_FP64_Affine3* outward_affine_map, const BGC_FP64_Position3 * position)
 {
-    bgc_fp64_versor_get_rotation_matrix(&position->turn, &outward_affine_map->distortion);
+    bgc_fp64_versor_get_rotation_matrix(&outward_affine_map->distortion, &position->turn);
-    bgc_fp64_vector3_copy(&position->shift, &outward_affine_map->shift);
+    bgc_fp64_vector3_copy(&outward_affine_map->shift, &position->shift);
 }
 
 // ============== Get Inward Affine ============== //
 
-inline void bgc_fp32_position3_get_inward_affine(const BGC_FP32_Position3 * position, BGC_FP32_Affine3 * inward_affine_map)
+inline void bgc_fp32_position3_get_inward_affine(BGC_FP32_Affine3* inward_affine_map, const BGC_FP32_Position3 * position)
 {
-    bgc_fp32_versor_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
+    bgc_fp32_versor_get_reverse_matrix(&inward_affine_map->distortion, &position->turn);
-    bgc_fp32_multiply_matrix3x3_by_vector3(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
+    bgc_fp32_multiply_matrix3x3_by_vector3(&inward_affine_map->shift, &inward_affine_map->distortion, &position->shift);
     bgc_fp32_vector3_revert(&inward_affine_map->shift);
 }
 
-inline void bgc_fp64_position3_get_inward_affine(const BGC_FP64_Position3 * position, BGC_FP64_Affine3 * inward_affine_map)
+inline void bgc_fp64_position3_get_inward_affine(BGC_FP64_Affine3* inward_affine_map, const BGC_FP64_Position3 * position)
 {
-    bgc_fp64_versor_get_reverse_matrix(&position->turn, &inward_affine_map->distortion);
+    bgc_fp64_versor_get_reverse_matrix(&inward_affine_map->distortion, &position->turn);
-    bgc_fp64_multiply_matrix3x3_by_vector3(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
+    bgc_fp64_multiply_matrix3x3_by_vector3(&inward_affine_map->shift, &inward_affine_map->distortion, &position->shift);
     bgc_fp64_vector3_revert(&inward_affine_map->shift);
 }
 
 // ========== Transform Point Outwards =========== //
 
-inline void bgc_fp32_position3_transform_point_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_point, BGC_FP32_Vector3 * outer_point)
+inline void bgc_fp32_position3_transform_point_outwards(BGC_FP32_Vector3* outer_point, const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_point)
 {
     BGC_FP32_Vector3 turned_point;
-    bgc_fp32_versor_turn_vector(&position->turn, inner_point, &turned_point);
+    bgc_fp32_versor_turn_vector(&turned_point, &position->turn, inner_point);
-    bgc_fp32_vector3_add(&position->shift, &turned_point, outer_point);
+    bgc_fp32_vector3_add(outer_point, &position->shift, &turned_point);
 }
 
-inline void bgc_fp64_position3_transform_point_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point, BGC_FP64_Vector3 * outer_point)
+inline void bgc_fp64_position3_transform_point_outwards(BGC_FP64_Vector3* outer_point, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_point)
 {
     BGC_FP64_Vector3 turned_point;
-    bgc_fp64_versor_turn_vector(&position->turn, inner_point, &turned_point);
+    bgc_fp64_versor_turn_vector(&turned_point, &position->turn, inner_point);
-    bgc_fp64_vector3_add(&position->shift, &turned_point, outer_point);
+    bgc_fp64_vector3_add(outer_point, &position->shift, &turned_point);
 }
 
 // =========== Transform Point Inwards =========== //
 
-inline void bgc_fp32_position3_transform_point_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_point, BGC_FP32_Vector3 * inner_point)
+inline void bgc_fp32_position3_transform_point_inwards(BGC_FP32_Vector3* inner_point, const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_point)
 {
     BGC_FP32_Vector3 relative_point;
-    bgc_fp32_vector3_subtract(outer_point, &position->shift, &relative_point);
+    bgc_fp32_vector3_subtract(&relative_point, outer_point, &position->shift);
-    bgc_fp32_versor_turn_vector_back(&position->turn, &relative_point, inner_point);
+    bgc_fp32_versor_turn_vector_back(inner_point, &position->turn, &relative_point);
 
 }
 
-inline void bgc_fp64_position3_transform_point_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point, BGC_FP64_Vector3 * inner_point)
+inline void bgc_fp64_position3_transform_point_inwards(BGC_FP64_Vector3* inner_point, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_point)
 {
     BGC_FP64_Vector3 relative_point;
-    bgc_fp64_vector3_subtract(outer_point, &position->shift, &relative_point);
+    bgc_fp64_vector3_subtract(&relative_point, outer_point, &position->shift);
-    bgc_fp64_versor_turn_vector_back(&position->turn, &relative_point, inner_point);
+    bgc_fp64_versor_turn_vector_back(inner_point, &position->turn, &relative_point);
 
 }
 
 // ========== Transform Vector Outwards ========== //
 
-inline void bgc_fp32_position3_transform_vector_outwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_vector, BGC_FP32_Vector3 * outer_vector)
+inline void bgc_fp32_position3_transform_vector_outwards(BGC_FP32_Vector3* outer_vector, const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * inner_vector)
 {
-    bgc_fp32_versor_turn_vector(&position->turn, inner_vector, outer_vector);
+    bgc_fp32_versor_turn_vector(outer_vector, &position->turn, inner_vector);
 }
 
-inline void bgc_fp64_position3_transform_vector_outwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector, BGC_FP64_Vector3 * outer_vector)
+inline void bgc_fp64_position3_transform_vector_outwards(BGC_FP64_Vector3* outer_vector, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * inner_vector)
 {
-    bgc_fp64_versor_turn_vector(&position->turn, inner_vector, outer_vector);
+    bgc_fp64_versor_turn_vector(outer_vector, &position->turn, inner_vector);
 }
 
 // ========== Transform Vector Inwards =========== //
 
-inline void bgc_fp32_position3_transform_vector_inwards(const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_vector, BGC_FP32_Vector3 * inner_vector)
+inline void bgc_fp32_position3_transform_vector_inwards(BGC_FP32_Vector3* inner_vector, const BGC_FP32_Position3 * position, const BGC_FP32_Vector3 * outer_vector)
 {
-    bgc_fp32_versor_turn_vector_back(&position->turn, outer_vector, inner_vector);
+    bgc_fp32_versor_turn_vector_back(inner_vector, &position->turn, outer_vector);
 }
 
-inline void bgc_fp64_position3_transform_vector_inwards(const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector, BGC_FP64_Vector3 * inner_vector)
+inline void bgc_fp64_position3_transform_vector_inwards(BGC_FP64_Vector3* inner_vector, const BGC_FP64_Position3 * position, const BGC_FP64_Vector3 * outer_vector)
 {
-    bgc_fp64_versor_turn_vector_back(&position->turn, outer_vector, inner_vector);
+    bgc_fp64_versor_turn_vector_back(inner_vector, &position->turn, outer_vector);
 }
 
 #endif // _BGC_POSITION_H_INCLUDED_

basic-geometry/quaternion.c

@@ -7,8 +7,8 @@ extern inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion* quaternion);
 extern inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion* quaternion);
 extern inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion* quaternion);
 
-extern inline void bgc_fp32_quaternion_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Quaternion* quaternion);
+extern inline void bgc_fp32_quaternion_make(BGC_FP32_Quaternion* quaternion, const float s0, const float x1, const float x2, const float x3);
-extern inline void bgc_fp64_quaternion_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Quaternion* quaternion);
+extern inline void bgc_fp64_quaternion_make(BGC_FP64_Quaternion* quaternion, const double s0, const double x1, const double x2, const double x3);
 
 extern inline float bgc_fp32_quaternion_get_square_modulus(const BGC_FP32_Quaternion* quaternion);
 extern inline double bgc_fp64_quaternion_get_square_modulus(const BGC_FP64_Quaternion* quaternion);
@@ -22,84 +22,84 @@ extern inline int bgc_fp64_quaternion_is_zero(const BGC_FP64_Quaternion* quatern
 extern inline int bgc_fp32_quaternion_is_unit(const BGC_FP32_Quaternion* quaternion);
 extern inline int bgc_fp64_quaternion_is_unit(const BGC_FP64_Quaternion* quaternion);
 
-extern inline void bgc_fp32_quaternion_copy(const BGC_FP32_Quaternion* source, BGC_FP32_Quaternion* destination);
+extern inline void bgc_fp32_quaternion_copy(BGC_FP32_Quaternion* destination, const BGC_FP32_Quaternion* source);
-extern inline void bgc_fp64_quaternion_copy(const BGC_FP64_Quaternion* source, BGC_FP64_Quaternion* destination);
+extern inline void bgc_fp64_quaternion_copy(BGC_FP64_Quaternion* destination, const BGC_FP64_Quaternion* source);
 
 extern inline void bgc_fp32_quaternion_swap(BGC_FP32_Quaternion* quarternion1, BGC_FP32_Quaternion* quarternion2);
 extern inline void bgc_fp64_quaternion_swap(BGC_FP64_Quaternion* quarternion1, BGC_FP64_Quaternion* quarternion2);
 
-extern inline void bgc_fp64_quaternion_convert_to_fp32(const BGC_FP64_Quaternion* source, BGC_FP32_Quaternion* destination);
+extern inline void bgc_fp32_quaternion_convert_to_fp64(BGC_FP64_Quaternion* destination, const BGC_FP32_Quaternion* source);
-extern inline void bgc_fp32_quaternion_convert_to_fp64(const BGC_FP32_Quaternion* source, BGC_FP64_Quaternion* destination);
+extern inline void bgc_fp64_quaternion_convert_to_fp32(BGC_FP32_Quaternion* destination, const BGC_FP64_Quaternion* source);
 
-extern inline void bgc_fp32_quaternion_add(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, BGC_FP32_Quaternion* sum);
+extern inline void bgc_fp32_quaternion_add(BGC_FP32_Quaternion* sum, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2);
-extern inline void bgc_fp64_quaternion_add(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, BGC_FP64_Quaternion* sum);
+extern inline void bgc_fp64_quaternion_add(BGC_FP64_Quaternion* sum, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2);
 
-extern inline void bgc_fp32_quaternion_add_scaled(const BGC_FP32_Quaternion* basic_quaternion, const BGC_FP32_Quaternion* scalable_quaternion, const float scale, BGC_FP32_Quaternion* sum);
+extern inline void bgc_fp32_quaternion_add_scaled(BGC_FP32_Quaternion* sum, const BGC_FP32_Quaternion* basic_quaternion, const BGC_FP32_Quaternion* scalable_quaternion, const float scale);
-extern inline void bgc_fp64_quaternion_add_scaled(const BGC_FP64_Quaternion* basic_quaternion, const BGC_FP64_Quaternion* scalable_quaternion, const double scale, BGC_FP64_Quaternion* sum);
+extern inline void bgc_fp64_quaternion_add_scaled(BGC_FP64_Quaternion* sum, const BGC_FP64_Quaternion* basic_quaternion, const BGC_FP64_Quaternion* scalable_quaternion, const double scale);
 
-extern inline void bgc_fp32_quaternion_subtract(const BGC_FP32_Quaternion* minuend, const BGC_FP32_Quaternion* subtrahend, BGC_FP32_Quaternion* difference);
+extern inline void bgc_fp32_quaternion_subtract(BGC_FP32_Quaternion* difference, const BGC_FP32_Quaternion* minuend, const BGC_FP32_Quaternion* subtrahend);
-extern inline void bgc_fp64_quaternion_subtract(const BGC_FP64_Quaternion* minuend, const BGC_FP64_Quaternion* subtrahend, BGC_FP64_Quaternion* difference);
+extern inline void bgc_fp64_quaternion_subtract(BGC_FP64_Quaternion* difference, const BGC_FP64_Quaternion* minuend, const BGC_FP64_Quaternion* subtrahend);
 
-extern inline void bgc_fp32_quaternion_get_product(const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right, BGC_FP32_Quaternion* product);
+extern inline void bgc_fp32_quaternion_get_product(BGC_FP32_Quaternion* product, const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right);
-extern inline void bgc_fp64_quaternion_get_product(const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right, BGC_FP64_Quaternion* product);
+extern inline void bgc_fp64_quaternion_get_product(BGC_FP64_Quaternion* product, const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right);
 
-extern inline void bgc_fp32_quaternion_multiply(const BGC_FP32_Quaternion* multiplicand, const float multipier, BGC_FP32_Quaternion* product);
+extern inline void bgc_fp32_quaternion_multiply(BGC_FP32_Quaternion* product, const BGC_FP32_Quaternion* multiplicand, const float multipier);
-extern inline void bgc_fp64_quaternion_multiply(const BGC_FP64_Quaternion* multiplicand, const double multipier, BGC_FP64_Quaternion* product);
+extern inline void bgc_fp64_quaternion_multiply(BGC_FP64_Quaternion* product, const BGC_FP64_Quaternion* multiplicand, const double multipier);
 
-extern inline int bgc_fp32_quaternion_get_ratio(const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor, BGC_FP32_Quaternion* quotient);
+extern inline int bgc_fp32_quaternion_get_ratio(BGC_FP32_Quaternion* quotient, const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor);
-extern inline int bgc_fp64_quaternion_get_ratio(const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor, BGC_FP64_Quaternion* quotient);
+extern inline int bgc_fp64_quaternion_get_ratio(BGC_FP64_Quaternion* quotient, const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor);
 
-extern inline void bgc_fp32_quaternion_divide(const BGC_FP32_Quaternion* dividend, const float divisor, BGC_FP32_Quaternion* quotient);
+extern inline void bgc_fp32_quaternion_divide(BGC_FP32_Quaternion* quotient, const BGC_FP32_Quaternion* dividend, const float divisor);
-extern inline void bgc_fp64_quaternion_divide(const BGC_FP64_Quaternion* dividend, const double divisor, BGC_FP64_Quaternion* quotient);
+extern inline void bgc_fp64_quaternion_divide(BGC_FP64_Quaternion* quotient, const BGC_FP64_Quaternion* dividend, const double divisor);
 
-extern inline void bgc_fp32_quaternion_get_mean2(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, BGC_FP32_Quaternion* mean);
+extern inline void bgc_fp32_quaternion_get_mean2(BGC_FP32_Quaternion* mean, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2);
-extern inline void bgc_fp64_quaternion_get_mean2(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, BGC_FP64_Quaternion* mean);
+extern inline void bgc_fp64_quaternion_get_mean2(BGC_FP64_Quaternion* mean, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2);
 
-extern inline void bgc_fp32_quaternion_get_mean3(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const BGC_FP32_Quaternion* vector3, BGC_FP32_Quaternion* mean);
+extern inline void bgc_fp32_quaternion_get_mean3(BGC_FP32_Quaternion* mean, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const BGC_FP32_Quaternion* quaternion3);
-extern inline void bgc_fp64_quaternion_get_mean3(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const BGC_FP64_Quaternion* vector3, BGC_FP64_Quaternion* mean);
+extern inline void bgc_fp64_quaternion_get_mean3(BGC_FP64_Quaternion* mean, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const BGC_FP64_Quaternion* quaternion3);
 
-extern inline void bgc_fp32_quaternion_interpolate(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const float phase, BGC_FP32_Quaternion* interpolation);
+extern inline void bgc_fp32_quaternion_interpolate(BGC_FP32_Quaternion* interpolation, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const float phase);
-extern inline void bgc_fp64_quaternion_interpolate(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const double phase, BGC_FP64_Quaternion* interpolation);
+extern inline void bgc_fp64_quaternion_interpolate(BGC_FP64_Quaternion* interpolation, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const double phase);
 
 extern inline void bgc_fp32_quaternion_conjugate(BGC_FP32_Quaternion* quaternion);
 extern inline void bgc_fp64_quaternion_conjugate(BGC_FP64_Quaternion* quaternion);
 
-extern inline void bgc_fp32_quaternion_get_conjugate(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* conjugate);
+extern inline void bgc_fp32_quaternion_get_conjugate(BGC_FP32_Quaternion* conjugate, const BGC_FP32_Quaternion* quaternion);
-extern inline void bgc_fp64_quaternion_get_conjugate(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* conjugate);
+extern inline void bgc_fp64_quaternion_get_conjugate(BGC_FP64_Quaternion* conjugate, const BGC_FP64_Quaternion* quaternion);
 
 extern inline void bgc_fp32_quaternion_revert(BGC_FP32_Quaternion* quaternion);
 extern inline void bgc_fp64_quaternion_revert(BGC_FP64_Quaternion* quaternion);
 
-extern inline void bgc_fp32_quaternion_get_reverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* opposite);
+extern inline void bgc_fp32_quaternion_get_reverse(BGC_FP32_Quaternion* reverse, const BGC_FP32_Quaternion* quaternion);
-extern inline void bgc_fp64_quaternion_get_reverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* opposite);
+extern inline void bgc_fp64_quaternion_get_reverse(BGC_FP64_Quaternion* reverse, const BGC_FP64_Quaternion* quaternion);
 
 extern inline int bgc_fp32_quaternion_invert(BGC_FP32_Quaternion* quaternion);
 extern inline int bgc_fp64_quaternion_invert(BGC_FP64_Quaternion* quaternion);
 
-extern inline int bgc_fp32_quaternion_get_inverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* inverse);
+extern inline int bgc_fp32_quaternion_get_inverse(BGC_FP32_Quaternion* inverse, const BGC_FP32_Quaternion* quaternion);
-extern inline int bgc_fp64_quaternion_get_inverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* inverse);
+extern inline int bgc_fp64_quaternion_get_inverse(BGC_FP64_Quaternion* inverse, const BGC_FP64_Quaternion* quaternion);
 
 extern inline int bgc_fp32_quaternion_normalize(BGC_FP32_Quaternion* quaternion);
 extern inline int bgc_fp64_quaternion_normalize(BGC_FP64_Quaternion* quaternion);
 
-extern inline int bgc_fp32_quaternion_get_normalized(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* normalized);
+extern inline int bgc_fp32_quaternion_get_normalized(BGC_FP32_Quaternion* normalized, const BGC_FP32_Quaternion* quaternion);
-extern inline int bgc_fp64_quaternion_get_normalized(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* normalized);
+extern inline int bgc_fp64_quaternion_get_normalized(BGC_FP64_Quaternion* normalized, const BGC_FP64_Quaternion* quaternion);
 
-extern inline int bgc_fp32_quaternion_get_rotation_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation);
+extern inline int bgc_fp32_quaternion_get_rotation_matrix(BGC_FP32_Matrix3x3* rotation, const BGC_FP32_Quaternion* quaternion);
-extern inline int bgc_fp64_quaternion_get_rotation_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation);
+extern inline int bgc_fp64_quaternion_get_rotation_matrix(BGC_FP64_Matrix3x3* rotation, const BGC_FP64_Quaternion* quaternion);
 
-extern inline int bgc_fp32_quaternion_get_reverse_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* reverse);
+extern inline int bgc_fp32_quaternion_get_reverse_matrix(BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Quaternion* quaternion);
-extern inline int bgc_fp64_quaternion_get_reverse_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* reverse);
+extern inline int bgc_fp64_quaternion_get_reverse_matrix(BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Quaternion* quaternion);
 
-extern inline int bgc_fp32_quaternion_get_both_matrices(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse);
+extern inline int bgc_fp32_quaternion_get_both_matrices(BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Quaternion* quaternion);
-extern inline int bgc_fp64_quaternion_get_both_matrices(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse);
+extern inline int bgc_fp64_quaternion_get_both_matrices(BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Quaternion* quaternion);
 
 extern inline int bgc_fp32_quaternion_are_close(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2);
 extern inline int bgc_fp64_quaternion_are_close(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2);
 
 // =============== Get Exponation =============== //
 
-int bgc_fp32_quaternion_get_exponation(const BGC_FP32_Quaternion* base, const float exponent, BGC_FP32_Quaternion* power)
+int bgc_fp32_quaternion_get_exponation(BGC_FP32_Quaternion* power, const BGC_FP32_Quaternion* base, const float exponent)
 {
     const float s0s0 = base->s0 * base->s0;
     const float x1x1 = base->x1 * base->x1;
@@ -140,7 +140,7 @@ int bgc_fp32_quaternion_get_exponation(const BGC_FP32_Quaternion* base, const fl
     return 1;
 }
 
-int bgc_fp64_quaternion_get_exponation(const BGC_FP64_Quaternion* base, const double exponent, BGC_FP64_Quaternion* power)
+int bgc_fp64_quaternion_get_exponation(BGC_FP64_Quaternion* power, const BGC_FP64_Quaternion* base, const double exponent)
 {
     const double s0s0 = base->s0 * base->s0;
     const double x1x1 = base->x1 * base->x1;

basic-geometry/quaternion.h

@@ -17,7 +17,7 @@ typedef struct {
 
 // ==================== Reset =================== //
 
-inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion * quaternion)
+inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion* quaternion)
 {
     quaternion->s0 = 0.0f;
     quaternion->x1 = 0.0f;
@@ -25,7 +25,7 @@ inline void bgc_fp32_quaternion_reset(BGC_FP32_Quaternion * quaternion)
     quaternion->x3 = 0.0f;
 }
 
-inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion * quaternion)
+inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion* quaternion)
 {
     quaternion->s0 = 0.0;
     quaternion->x1 = 0.0;
@@ -35,7 +35,7 @@ inline void bgc_fp64_quaternion_reset(BGC_FP64_Quaternion * quaternion)
 
 // ================= Make Unit ================== //
 
-inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion * quaternion)
+inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion* quaternion)
 {
     quaternion->s0 = 1.0f;
     quaternion->x1 = 0.0f;
@@ -43,7 +43,7 @@ inline void bgc_fp32_quaternion_make_unit(BGC_FP32_Quaternion * quaternion)
     quaternion->x3 = 0.0f;
 }
 
-inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion * quaternion)
+inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion* quaternion)
 {
     quaternion->s0 = 1.0;
     quaternion->x1 = 0.0;
@@ -53,7 +53,7 @@ inline void bgc_fp64_quaternion_make_unit(BGC_FP64_Quaternion * quaternion)
 
 // ==================== Set ===================== //
 
-inline void bgc_fp32_quaternion_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Quaternion * quaternion)
+inline void bgc_fp32_quaternion_make(BGC_FP32_Quaternion* quaternion, const float s0, const float x1, const float x2, const float x3)
 {
     quaternion->s0 = s0;
     quaternion->x1 = x1;
@@ -61,7 +61,7 @@ inline void bgc_fp32_quaternion_make(const float s0, const float x1, const float
     quaternion->x3 = x3;
 }
 
-inline void bgc_fp64_quaternion_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Quaternion * quaternion)
+inline void bgc_fp64_quaternion_make(BGC_FP64_Quaternion* quaternion, const double s0, const double x1, const double x2, const double x3)
 {
     quaternion->s0 = s0;
     quaternion->x1 = x1;
@@ -119,7 +119,7 @@ inline int bgc_fp64_quaternion_is_unit(const BGC_FP64_Quaternion* quaternion)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_quaternion_copy(const BGC_FP32_Quaternion* source, BGC_FP32_Quaternion* destination)
+inline void bgc_fp32_quaternion_copy(BGC_FP32_Quaternion* destination, const BGC_FP32_Quaternion* source)
 {
     destination->s0 = source->s0;
     destination->x1 = source->x1;
@@ -127,7 +127,7 @@ inline void bgc_fp32_quaternion_copy(const BGC_FP32_Quaternion* source, BGC_FP32
     destination->x3 = source->x3;
 }
 
-inline void bgc_fp64_quaternion_copy(const BGC_FP64_Quaternion* source, BGC_FP64_Quaternion* destination)
+inline void bgc_fp64_quaternion_copy(BGC_FP64_Quaternion* destination, const BGC_FP64_Quaternion* source)
 {
     destination->s0 = source->s0;
     destination->x1 = source->x1;
@@ -175,15 +175,7 @@ inline void bgc_fp64_quaternion_swap(BGC_FP64_Quaternion* quarternion1, BGC_FP64
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_quaternion_convert_to_fp32(const BGC_FP64_Quaternion* source, BGC_FP32_Quaternion* destination)
+inline void bgc_fp32_quaternion_convert_to_fp64(BGC_FP64_Quaternion* destination, const BGC_FP32_Quaternion* source)
-{
-    destination->s0 = (float)source->s0;
-    destination->x1 = (float)source->x1;
-    destination->x2 = (float)source->x2;
-    destination->x3 = (float)source->x3;
-}
-
-inline void bgc_fp32_quaternion_convert_to_fp64(const BGC_FP32_Quaternion* source, BGC_FP64_Quaternion* destination)
 {
     destination->s0 = source->s0;
     destination->x1 = source->x1;
@@ -191,9 +183,17 @@ inline void bgc_fp32_quaternion_convert_to_fp64(const BGC_FP32_Quaternion* sourc
     destination->x3 = source->x3;
 }
 
+inline void bgc_fp64_quaternion_convert_to_fp32(BGC_FP32_Quaternion* destination, const BGC_FP64_Quaternion* source)
+{
+    destination->s0 = (float)source->s0;
+    destination->x1 = (float)source->x1;
+    destination->x2 = (float)source->x2;
+    destination->x3 = (float)source->x3;
+}
+
 // ==================== Add ===================== //
 
-inline void bgc_fp32_quaternion_add(const BGC_FP32_Quaternion * quaternion1, const BGC_FP32_Quaternion * quaternion2, BGC_FP32_Quaternion * sum)
+inline void bgc_fp32_quaternion_add(BGC_FP32_Quaternion* sum, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2)
 {
     sum->s0 = quaternion1->s0 + quaternion2->s0;
     sum->x1 = quaternion1->x1 + quaternion2->x1;
@@ -201,7 +201,7 @@ inline void bgc_fp32_quaternion_add(const BGC_FP32_Quaternion * quaternion1, con
     sum->x3 = quaternion1->x3 + quaternion2->x3;
 }
 
-inline void bgc_fp64_quaternion_add(const BGC_FP64_Quaternion * quaternion1, const BGC_FP64_Quaternion * quaternion2, BGC_FP64_Quaternion * sum)
+inline void bgc_fp64_quaternion_add(BGC_FP64_Quaternion* sum, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2)
 {
     sum->s0 = quaternion1->s0 + quaternion2->s0;
     sum->x1 = quaternion1->x1 + quaternion2->x1;
@@ -211,7 +211,7 @@ inline void bgc_fp64_quaternion_add(const BGC_FP64_Quaternion * quaternion1, con
 
 // ================= Add Scaled ================= //
 
-inline void bgc_fp32_quaternion_add_scaled(const BGC_FP32_Quaternion * basic_quaternion, const BGC_FP32_Quaternion * scalable_quaternion, const float scale, BGC_FP32_Quaternion * sum)
+inline void bgc_fp32_quaternion_add_scaled(BGC_FP32_Quaternion* sum, const BGC_FP32_Quaternion* basic_quaternion, const BGC_FP32_Quaternion* scalable_quaternion, const float scale)
 {
     sum->s0 = basic_quaternion->s0 + scalable_quaternion->s0 * scale;
     sum->x1 = basic_quaternion->x1 + scalable_quaternion->x1 * scale;
@@ -219,7 +219,7 @@ inline void bgc_fp32_quaternion_add_scaled(const BGC_FP32_Quaternion * basic_qua
     sum->x3 = basic_quaternion->x3 + scalable_quaternion->x3 * scale;
 }
 
-inline void bgc_fp64_quaternion_add_scaled(const BGC_FP64_Quaternion * basic_quaternion, const BGC_FP64_Quaternion * scalable_quaternion, const double scale, BGC_FP64_Quaternion * sum)
+inline void bgc_fp64_quaternion_add_scaled(BGC_FP64_Quaternion* sum, const BGC_FP64_Quaternion* basic_quaternion, const BGC_FP64_Quaternion* scalable_quaternion, const double scale)
 {
     sum->s0 = basic_quaternion->s0 + scalable_quaternion->s0 * scale;
     sum->x1 = basic_quaternion->x1 + scalable_quaternion->x1 * scale;
@@ -229,7 +229,7 @@ inline void bgc_fp64_quaternion_add_scaled(const BGC_FP64_Quaternion * basic_qua
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_quaternion_subtract(const BGC_FP32_Quaternion * minuend, const BGC_FP32_Quaternion * subtrahend, BGC_FP32_Quaternion * difference)
+inline void bgc_fp32_quaternion_subtract(BGC_FP32_Quaternion* difference, const BGC_FP32_Quaternion* minuend, const BGC_FP32_Quaternion* subtrahend)
 {
     difference->s0 = minuend->s0 - subtrahend->s0;
     difference->x1 = minuend->x1 - subtrahend->x1;
@@ -237,7 +237,7 @@ inline void bgc_fp32_quaternion_subtract(const BGC_FP32_Quaternion * minuend, co
     difference->x3 = minuend->x3 - subtrahend->x3;
 }
 
-inline void bgc_fp64_quaternion_subtract(const BGC_FP64_Quaternion * minuend, const BGC_FP64_Quaternion * subtrahend, BGC_FP64_Quaternion * difference)
+inline void bgc_fp64_quaternion_subtract(BGC_FP64_Quaternion* difference, const BGC_FP64_Quaternion* minuend, const BGC_FP64_Quaternion* subtrahend)
 {
     difference->s0 = minuend->s0 - subtrahend->s0;
     difference->x1 = minuend->x1 - subtrahend->x1;
@@ -247,7 +247,7 @@ inline void bgc_fp64_quaternion_subtract(const BGC_FP64_Quaternion * minuend, co
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_quaternion_get_product(const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right, BGC_FP32_Quaternion* product)
+inline void bgc_fp32_quaternion_get_product(BGC_FP32_Quaternion* product, const BGC_FP32_Quaternion* left, const BGC_FP32_Quaternion* right)
 {
     const float s0 = (left->s0 * right->s0 - left->x1 * right->x1) - (left->x2 * right->x2 + left->x3 * right->x3);
     const float x1 = (left->x1 * right->s0 + left->s0 * right->x1) - (left->x3 * right->x2 - left->x2 * right->x3);
@@ -260,7 +260,7 @@ inline void bgc_fp32_quaternion_get_product(const BGC_FP32_Quaternion* left, con
     product->x3 = x3;
 }
 
-inline void bgc_fp64_quaternion_get_product(const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right, BGC_FP64_Quaternion* product)
+inline void bgc_fp64_quaternion_get_product(BGC_FP64_Quaternion* product, const BGC_FP64_Quaternion* left, const BGC_FP64_Quaternion* right)
 {
     const double s0 = (left->s0 * right->s0 - left->x1 * right->x1) - (left->x2 * right->x2 + left->x3 * right->x3);
     const double x1 = (left->x1 * right->s0 + left->s0 * right->x1) - (left->x3 * right->x2 - left->x2 * right->x3);
@@ -273,7 +273,7 @@ inline void bgc_fp64_quaternion_get_product(const BGC_FP64_Quaternion* left, con
     product->x3 = x3;
 }
 
-inline void bgc_fp32_quaternion_multiply(const BGC_FP32_Quaternion* multiplicand, const float multipier, BGC_FP32_Quaternion* product)
+inline void bgc_fp32_quaternion_multiply(BGC_FP32_Quaternion* product, const BGC_FP32_Quaternion* multiplicand, const float multipier)
 {
     product->s0 = multiplicand->s0 * multipier;
     product->x1 = multiplicand->x1 * multipier;
@@ -281,7 +281,7 @@ inline void bgc_fp32_quaternion_multiply(const BGC_FP32_Quaternion* multiplicand
     product->x3 = multiplicand->x3 * multipier;
 }
 
-inline void bgc_fp64_quaternion_multiply(const BGC_FP64_Quaternion* multiplicand, const double multipier, BGC_FP64_Quaternion* product)
+inline void bgc_fp64_quaternion_multiply(BGC_FP64_Quaternion* product, const BGC_FP64_Quaternion* multiplicand, const double multipier)
 {
     product->s0 = multiplicand->s0 * multipier;
     product->x1 = multiplicand->x1 * multipier;
@@ -291,7 +291,7 @@ inline void bgc_fp64_quaternion_multiply(const BGC_FP64_Quaternion* multiplicand
 
 // =================== Divide =================== //
 
-inline int bgc_fp32_quaternion_get_ratio(const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor, BGC_FP32_Quaternion* quotient)
+inline int bgc_fp32_quaternion_get_ratio(BGC_FP32_Quaternion* quotient, const BGC_FP32_Quaternion* divident, const BGC_FP32_Quaternion* divisor)
 {
     const float square_modulus = bgc_fp32_quaternion_get_square_modulus(divisor);
 
@@ -314,7 +314,7 @@ inline int bgc_fp32_quaternion_get_ratio(const BGC_FP32_Quaternion* divident, co
     return 1;
 }
 
-inline int bgc_fp64_quaternion_get_ratio(const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor, BGC_FP64_Quaternion* quotient)
+inline int bgc_fp64_quaternion_get_ratio(BGC_FP64_Quaternion* quotient, const BGC_FP64_Quaternion* divident, const BGC_FP64_Quaternion* divisor)
 {
     const double square_modulus = bgc_fp64_quaternion_get_square_modulus(divisor);
 
@@ -337,55 +337,55 @@ inline int bgc_fp64_quaternion_get_ratio(const BGC_FP64_Quaternion* divident, co
     return 1;
 }
 
-inline void bgc_fp32_quaternion_divide(const BGC_FP32_Quaternion* dividend, const float divisor, BGC_FP32_Quaternion* quotient)
+inline void bgc_fp32_quaternion_divide(BGC_FP32_Quaternion* quotient, const BGC_FP32_Quaternion* dividend, const float divisor)
 {
-    bgc_fp32_quaternion_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_quaternion_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_quaternion_divide(const BGC_FP64_Quaternion* dividend, const double divisor, BGC_FP64_Quaternion* quotient)
+inline void bgc_fp64_quaternion_divide(BGC_FP64_Quaternion* quotient, const BGC_FP64_Quaternion* dividend, const double divisor)
 {
-    bgc_fp64_quaternion_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_quaternion_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Mean of Two ================= //
 
-inline void bgc_fp32_quaternion_get_mean2(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, BGC_FP32_Quaternion* mean)
+inline void bgc_fp32_quaternion_get_mean2(BGC_FP32_Quaternion* mean, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2)
 {
-    mean->s0 = (vector1->s0 + vector2->s0) * 0.5f;
+    mean->s0 = (quaternion1->s0 + quaternion2->s0) * 0.5f;
-    mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
+    mean->x1 = (quaternion1->x1 + quaternion2->x1) * 0.5f;
-    mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
+    mean->x2 = (quaternion1->x2 + quaternion2->x2) * 0.5f;
-    mean->x3 = (vector1->x3 + vector2->x3) * 0.5f;
+    mean->x3 = (quaternion1->x3 + quaternion2->x3) * 0.5f;
 }
 
-inline void bgc_fp64_quaternion_get_mean2(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, BGC_FP64_Quaternion* mean)
+inline void bgc_fp64_quaternion_get_mean2(BGC_FP64_Quaternion* mean, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2)
 {
-    mean->s0 = (vector1->s0 + vector2->s0) * 0.5f;
+    mean->s0 = (quaternion1->s0 + quaternion2->s0) * 0.5f;
-    mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
+    mean->x1 = (quaternion1->x1 + quaternion2->x1) * 0.5f;
-    mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
+    mean->x2 = (quaternion1->x2 + quaternion2->x2) * 0.5f;
-    mean->x3 = (vector1->x3 + vector2->x3) * 0.5f;
+    mean->x3 = (quaternion1->x3 + quaternion2->x3) * 0.5f;
 }
 
 // =============== Mean of Three ================ //
 
-inline void bgc_fp32_quaternion_get_mean3(const BGC_FP32_Quaternion* vector1, const BGC_FP32_Quaternion* vector2, const BGC_FP32_Quaternion* vector3, BGC_FP32_Quaternion* mean)
+inline void bgc_fp32_quaternion_get_mean3(BGC_FP32_Quaternion* mean, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const BGC_FP32_Quaternion* quaternion3)
 {
-    mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_FP32_ONE_THIRD;
+    mean->s0 = (quaternion1->s0 + quaternion2->s0 + quaternion3->s0) * BGC_FP32_ONE_THIRD;
-    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
+    mean->x1 = (quaternion1->x1 + quaternion2->x1 + quaternion3->x1) * BGC_FP32_ONE_THIRD;
-    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
+    mean->x2 = (quaternion1->x2 + quaternion2->x2 + quaternion3->x2) * BGC_FP32_ONE_THIRD;
-    mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP32_ONE_THIRD;
+    mean->x3 = (quaternion1->x3 + quaternion2->x3 + quaternion3->x3) * BGC_FP32_ONE_THIRD;
 }
 
-inline void bgc_fp64_quaternion_get_mean3(const BGC_FP64_Quaternion* vector1, const BGC_FP64_Quaternion* vector2, const BGC_FP64_Quaternion* vector3, BGC_FP64_Quaternion* mean)
+inline void bgc_fp64_quaternion_get_mean3(BGC_FP64_Quaternion* mean, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const BGC_FP64_Quaternion* quaternion3)
 {
-    mean->s0 = (vector1->s0 + vector2->s0 + vector3->s0) * BGC_FP64_ONE_THIRD;
+    mean->s0 = (quaternion1->s0 + quaternion2->s0 + quaternion3->s0) * BGC_FP64_ONE_THIRD;
-    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
+    mean->x1 = (quaternion1->x1 + quaternion2->x1 + quaternion3->x1) * BGC_FP64_ONE_THIRD;
-    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
+    mean->x2 = (quaternion1->x2 + quaternion2->x2 + quaternion3->x2) * BGC_FP64_ONE_THIRD;
-    mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP64_ONE_THIRD;
+    mean->x3 = (quaternion1->x3 + quaternion2->x3 + quaternion3->x3) * BGC_FP64_ONE_THIRD;
 }
 
 // ============ Linear Interpolation ============ //
 
-inline void bgc_fp32_quaternion_interpolate(const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const float phase, BGC_FP32_Quaternion* interpolation)
+inline void bgc_fp32_quaternion_interpolate(BGC_FP32_Quaternion* interpolation, const BGC_FP32_Quaternion* quaternion1, const BGC_FP32_Quaternion* quaternion2, const float phase)
 {
     const float counter_phase = 1.0f - phase;
 
@@ -395,7 +395,7 @@ inline void bgc_fp32_quaternion_interpolate(const BGC_FP32_Quaternion* quaternio
     interpolation->x3 = quaternion1->x3 * counter_phase + quaternion2->x3 * phase;
 }
 
-inline void bgc_fp64_quaternion_interpolate(const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const double phase, BGC_FP64_Quaternion* interpolation)
+inline void bgc_fp64_quaternion_interpolate(BGC_FP64_Quaternion* interpolation, const BGC_FP64_Quaternion* quaternion1, const BGC_FP64_Quaternion* quaternion2, const double phase)
 {
     const double counter_phase = 1.0 - phase;
 
@@ -421,7 +421,7 @@ inline void bgc_fp64_quaternion_conjugate(BGC_FP64_Quaternion* quaternion)
     quaternion->x3 = -quaternion->x3;
 }
 
-inline void bgc_fp32_quaternion_get_conjugate(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* conjugate)
+inline void bgc_fp32_quaternion_get_conjugate(BGC_FP32_Quaternion* conjugate, const BGC_FP32_Quaternion* quaternion)
 {
     conjugate->s0 = quaternion->s0;
     conjugate->x1 = -quaternion->x1;
@@ -429,7 +429,7 @@ inline void bgc_fp32_quaternion_get_conjugate(const BGC_FP32_Quaternion* quatern
     conjugate->x3 = -quaternion->x3;
 }
 
-inline void bgc_fp64_quaternion_get_conjugate(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* conjugate)
+inline void bgc_fp64_quaternion_get_conjugate(BGC_FP64_Quaternion* conjugate, const BGC_FP64_Quaternion* quaternion)
 {
     conjugate->s0 = quaternion->s0;
     conjugate->x1 = -quaternion->x1;
@@ -455,25 +455,25 @@ inline void bgc_fp64_quaternion_revert(BGC_FP64_Quaternion* quaternion)
     quaternion->x3 = -quaternion->x3;
 }
 
-inline void bgc_fp32_quaternion_get_reverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* opposite)
+inline void bgc_fp32_quaternion_get_reverse(BGC_FP32_Quaternion* reverse, const BGC_FP32_Quaternion* quaternion)
 {
-    opposite->s0 = -quaternion->s0;
+    reverse->s0 = -quaternion->s0;
-    opposite->x1 = -quaternion->x1;
+    reverse->x1 = -quaternion->x1;
-    opposite->x2 = -quaternion->x2;
+    reverse->x2 = -quaternion->x2;
-    opposite->x3 = -quaternion->x3;
+    reverse->x3 = -quaternion->x3;
 }
 
-inline void bgc_fp64_quaternion_get_reverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* opposite)
+inline void bgc_fp64_quaternion_get_reverse(BGC_FP64_Quaternion* reverse, const BGC_FP64_Quaternion* quaternion)
 {
-    opposite->s0 = -quaternion->s0;
+    reverse->s0 = -quaternion->s0;
-    opposite->x1 = -quaternion->x1;
+    reverse->x1 = -quaternion->x1;
-    opposite->x2 = -quaternion->x2;
+    reverse->x2 = -quaternion->x2;
-    opposite->x3 = -quaternion->x3;
+    reverse->x3 = -quaternion->x3;
 }
 
 // =================== Invert =================== //
 
-inline int bgc_fp32_quaternion_get_inverse(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* inverse)
+inline int bgc_fp32_quaternion_get_inverse(BGC_FP32_Quaternion* inverse, const BGC_FP32_Quaternion* quaternion)
 {
     const float square_modulus = bgc_fp32_quaternion_get_square_modulus(quaternion);
 
@@ -491,7 +491,7 @@ inline int bgc_fp32_quaternion_get_inverse(const BGC_FP32_Quaternion* quaternion
     return 1;
 }
 
-inline int bgc_fp64_quaternion_get_inverse(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* inverse)
+inline int bgc_fp64_quaternion_get_inverse(BGC_FP64_Quaternion* inverse, const BGC_FP64_Quaternion* quaternion)
 {
     const double square_modulus = bgc_fp64_quaternion_get_square_modulus(quaternion);
 
@@ -565,12 +565,12 @@ inline int bgc_fp64_quaternion_normalize(BGC_FP64_Quaternion* quaternion)
     return 1;
 }
 
-inline int bgc_fp32_quaternion_get_normalized(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Quaternion* normalized)
+inline int bgc_fp32_quaternion_get_normalized(BGC_FP32_Quaternion* normalized, const BGC_FP32_Quaternion* quaternion)
 {
     const float square_modulus = bgc_fp32_quaternion_get_square_modulus(quaternion);
 
     if (bgc_fp32_is_square_unit(square_modulus)) {
-        bgc_fp32_quaternion_copy(quaternion, normalized);
+        bgc_fp32_quaternion_copy(normalized, quaternion);
         return 1;
     }
 
@@ -579,16 +579,16 @@ inline int bgc_fp32_quaternion_get_normalized(const BGC_FP32_Quaternion* quatern
         return 0;
     }
 
-    bgc_fp32_quaternion_multiply(quaternion, sqrtf(1.0f / square_modulus), normalized);
+    bgc_fp32_quaternion_multiply(normalized, quaternion, sqrtf(1.0f / square_modulus));
     return 1;
 }
 
-inline int bgc_fp64_quaternion_get_normalized(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Quaternion* normalized)
+inline int bgc_fp64_quaternion_get_normalized(BGC_FP64_Quaternion* normalized, const BGC_FP64_Quaternion* quaternion)
 {
     const double square_modulus = bgc_fp64_quaternion_get_square_modulus(quaternion);
 
     if (bgc_fp64_is_square_unit(square_modulus)) {
-        bgc_fp64_quaternion_copy(quaternion, normalized);
+        bgc_fp64_quaternion_copy(normalized, quaternion);
         return 1;
     }
 
@@ -597,19 +597,19 @@ inline int bgc_fp64_quaternion_get_normalized(const BGC_FP64_Quaternion* quatern
         return 0;
     }
 
-    bgc_fp64_quaternion_multiply(quaternion, sqrt(1.0 / square_modulus), normalized);
+    bgc_fp64_quaternion_multiply(normalized, quaternion, sqrt(1.0 / square_modulus));
     return 1;
 }
 
 // =============== Get Exponation =============== //
 
-int bgc_fp32_quaternion_get_exponation(const BGC_FP32_Quaternion* base, const float exponent, BGC_FP32_Quaternion* power);
+int bgc_fp32_quaternion_get_exponation(BGC_FP32_Quaternion* power, const BGC_FP32_Quaternion* base, const float exponent);
 
-int bgc_fp64_quaternion_get_exponation(const BGC_FP64_Quaternion* base, const double exponent, BGC_FP64_Quaternion* power);
+int bgc_fp64_quaternion_get_exponation(BGC_FP64_Quaternion* power, const BGC_FP64_Quaternion* base, const double exponent);
 
 // ============ Get Rotation Matrix ============= //
 
-inline int bgc_fp32_quaternion_get_rotation_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation)
+inline int bgc_fp32_quaternion_get_rotation_matrix(BGC_FP32_Matrix3x3* rotation, const BGC_FP32_Quaternion* quaternion)
 {
     const float s0s0 = quaternion->s0 * quaternion->s0;
     const float x1x1 = quaternion->x1 * quaternion->x1;
@@ -650,7 +650,7 @@ inline int bgc_fp32_quaternion_get_rotation_matrix(const BGC_FP32_Quaternion* qu
     return 1;
 }
 
-inline int bgc_fp64_quaternion_get_rotation_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation)
+inline int bgc_fp64_quaternion_get_rotation_matrix(BGC_FP64_Matrix3x3* rotation, const BGC_FP64_Quaternion* quaternion)
 {
     const double s0s0 = quaternion->s0 * quaternion->s0;
     const double x1x1 = quaternion->x1 * quaternion->x1;
@@ -693,7 +693,7 @@ inline int bgc_fp64_quaternion_get_rotation_matrix(const BGC_FP64_Quaternion* qu
 
 // ============= Get Reverse Matrix ============= //
 
-inline int bgc_fp32_quaternion_get_reverse_matrix(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* reverse)
+inline int bgc_fp32_quaternion_get_reverse_matrix(BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Quaternion* quaternion)
 {
     const float s0s0 = quaternion->s0 * quaternion->s0;
     const float x1x1 = quaternion->x1 * quaternion->x1;
@@ -734,7 +734,7 @@ inline int bgc_fp32_quaternion_get_reverse_matrix(const BGC_FP32_Quaternion* qua
     return 1;
 }
 
-inline int bgc_fp64_quaternion_get_reverse_matrix(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* reverse)
+inline int bgc_fp64_quaternion_get_reverse_matrix(BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Quaternion* quaternion)
 {
     const double s0s0 = quaternion->s0 * quaternion->s0;
     const double x1x1 = quaternion->x1 * quaternion->x1;
@@ -777,20 +777,20 @@ inline int bgc_fp64_quaternion_get_reverse_matrix(const BGC_FP64_Quaternion* qua
 
 // ============= Get Both Matrixes ============== //
 
-inline int bgc_fp32_quaternion_get_both_matrices(const BGC_FP32_Quaternion* quaternion, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse)
+inline int bgc_fp32_quaternion_get_both_matrices(BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Quaternion* quaternion)
 {
-    if (bgc_fp32_quaternion_get_reverse_matrix(quaternion, reverse)) {
+    if (bgc_fp32_quaternion_get_reverse_matrix(reverse, quaternion)) {
-        bgc_fp32_matrix3x3_get_transposed(reverse, rotation);
+        bgc_fp32_matrix3x3_get_transposed(rotation, reverse);
         return 1;
     }
 
     return 0;
 }
 
-inline int bgc_fp64_quaternion_get_both_matrices(const BGC_FP64_Quaternion* quaternion, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse)
+inline int bgc_fp64_quaternion_get_both_matrices(BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Quaternion* quaternion)
 {
-    if (bgc_fp64_quaternion_get_reverse_matrix(quaternion, reverse)) {
+    if (bgc_fp64_quaternion_get_reverse_matrix(reverse, quaternion)) {
-        bgc_fp64_matrix3x3_get_transposed(reverse, rotation);
+        bgc_fp64_matrix3x3_get_transposed(rotation, reverse);
         return 1;
     }
 

basic-geometry/rotation3.h

@@ -72,7 +72,7 @@ inline void bgc_fp64_rotation3_make(const double x1, const double x2, const doub
 
 inline void bgc_fp32_rotation3_make_for_axis(const BGC_FP32_Vector3* axis, const float angle, const int unit, BGC_FP32_Rotation3* rotation)
 {
-    if (bgc_fp32_vector3_get_normalized(axis, &rotation->axis)) {
+    if (bgc_fp32_vector3_get_normalized(&rotation->axis, axis)) {
         rotation->radians = bgc_fp32_angle_to_radians(angle, unit);
     }
     else {
@@ -82,7 +82,7 @@ inline void bgc_fp32_rotation3_make_for_axis(const BGC_FP32_Vector3* axis, const
 
 inline void bgc_fp64_rotation3_make_for_axis(const BGC_FP64_Vector3* axis, const double angle, const int unit, BGC_FP64_Rotation3* rotation)
 {
-    if (bgc_fp64_vector3_get_normalized(axis, &rotation->axis)) {
+    if (bgc_fp64_vector3_get_normalized(&rotation->axis, axis)) {
         rotation->radians = bgc_fp64_angle_to_radians(angle, unit);
     }
     else {

basic-geometry/slerp.c

@@ -3,16 +3,16 @@
 extern inline void bgc_fp32_slerp_reset(BGC_FP32_Slerp* slerp);
 extern inline void bgc_fp64_slerp_reset(BGC_FP64_Slerp* slerp);
 
-extern inline void bgc_fp32_slerp_make_full(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp);
+extern inline void bgc_fp32_slerp_make_full(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end);
-extern inline void bgc_fp64_slerp_make_full(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp);
+extern inline void bgc_fp64_slerp_make_full(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end);
 
-extern inline void bgc_fp32_slerp_make_shortened(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp);
+extern inline void bgc_fp32_slerp_make_shortened(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end);
-extern inline void bgc_fp64_slerp_make_shortened(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp);
+extern inline void bgc_fp64_slerp_make_shortened(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end);
 
-extern inline void bgc_fp32_slerp_get_phase_versor(const BGC_FP32_Slerp* slerp, const float phase, BGC_FP32_Versor* result);
+extern inline void bgc_fp32_slerp_get_phase_versor(BGC_FP32_Versor* versor, const BGC_FP32_Slerp* slerp, const float phase);
-extern inline void bgc_fp64_slerp_get_phase_versor(const BGC_FP64_Slerp* slerp, const double phase, BGC_FP64_Versor* result);
+extern inline void bgc_fp64_slerp_get_phase_versor(BGC_FP64_Versor* versor, const BGC_FP64_Slerp* slerp, const double phase);
 
-void bgc_fp32_slerp_make(const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment, BGC_FP32_Slerp* slerp)
+void bgc_fp32_slerp_make(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment)
 {
     const float square_vector = augment->_x1 * augment->_x1 + augment->_x2 * augment->_x2 + augment->_x3 * augment->_x3;
 
@@ -53,7 +53,7 @@ void bgc_fp32_slerp_make(const BGC_FP32_Versor* start, const BGC_FP32_Versor* au
     slerp->x3_sin_weight =  multiplier * (augment->_x3 * start->_s0 - augment->_x2 * start->_x1 + augment->_x1 * start->_x2);
 }
 
-void bgc_fp64_slerp_make(const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment, BGC_FP64_Slerp* slerp)
+void bgc_fp64_slerp_make(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment)
 {
     const double square_vector = augment->_x1 * augment->_x1 + augment->_x2 * augment->_x2 + augment->_x3 * augment->_x3;
 

basic-geometry/slerp.h

@@ -53,75 +53,74 @@ inline void bgc_fp64_slerp_reset(BGC_FP64_Slerp* slerp)
     slerp->radians = 0.0;
 }
 
-void bgc_fp32_slerp_make(const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment, BGC_FP32_Slerp* slerp);
+void bgc_fp32_slerp_make(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* augment);
+void bgc_fp64_slerp_make(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment);
 
-void bgc_fp64_slerp_make(const BGC_FP64_Versor* start, const BGC_FP64_Versor* augment, BGC_FP64_Slerp* slerp);
+inline void bgc_fp32_slerp_make_full(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end)
-
-inline void bgc_fp32_slerp_make_full(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp)
 {
     BGC_FP32_Versor augment;
 
-    bgc_fp32_versor_exclude(end, start, &augment);
+    bgc_fp32_versor_exclude(&augment, end, start);
 
-    bgc_fp32_slerp_make(start, &augment, slerp);
+    bgc_fp32_slerp_make(slerp, start, &augment);
 }
 
-inline void bgc_fp64_slerp_make_full(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp)
+inline void bgc_fp64_slerp_make_full(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end)
 {
     BGC_FP64_Versor augment;
 
-    bgc_fp64_versor_exclude(end, start, &augment);
+    bgc_fp64_versor_exclude(&augment, end, start);
 
-    bgc_fp64_slerp_make(start, &augment, slerp);
+    bgc_fp64_slerp_make(slerp, start, &augment);
 }
 
-inline void bgc_fp32_slerp_make_shortened(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, BGC_FP32_Slerp* slerp)
+inline void bgc_fp32_slerp_make_shortened(BGC_FP32_Slerp* slerp, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end)
 {
     BGC_FP32_Versor augment;
 
-    bgc_fp32_versor_exclude(end, start, &augment);
+    bgc_fp32_versor_exclude(&augment, end, start);
     bgc_fp32_versor_shorten(&augment);
 
-    bgc_fp32_slerp_make(start, &augment, slerp);
+    bgc_fp32_slerp_make(slerp, start, &augment);
 }
 
-inline void bgc_fp64_slerp_make_shortened(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, BGC_FP64_Slerp* slerp)
+inline void bgc_fp64_slerp_make_shortened(BGC_FP64_Slerp* slerp, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end)
 {
     BGC_FP64_Versor augment;
 
-    bgc_fp64_versor_exclude(end, start, &augment);
+    bgc_fp64_versor_exclude(&augment, end, start);
     bgc_fp64_versor_shorten(&augment);
 
-    bgc_fp64_slerp_make(start, &augment, slerp);
+    bgc_fp64_slerp_make(slerp, start, &augment);
 }
 
-inline void bgc_fp32_slerp_get_phase_versor(const BGC_FP32_Slerp* slerp, const float phase, BGC_FP32_Versor* result)
+inline void bgc_fp32_slerp_get_phase_versor(BGC_FP32_Versor* versor, const BGC_FP32_Slerp* slerp, const float phase)
 {
     const float angle = slerp->radians * phase;
     const float cosine = cosf(angle);
     const float sine = sinf(angle);
 
     bgc_fp32_versor_make(
+        versor,
         slerp->s0_cos_weight * cosine + slerp->s0_sin_weight * sine,
         slerp->x1_cos_weight * cosine + slerp->x1_sin_weight * sine,
         slerp->x2_cos_weight * cosine + slerp->x2_sin_weight * sine,
-        slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine,
+        slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine
-        result
     );
 }
 
-inline void bgc_fp64_slerp_get_phase_versor(const BGC_FP64_Slerp* slerp, const double phase, BGC_FP64_Versor* result)
+inline void bgc_fp64_slerp_get_phase_versor(BGC_FP64_Versor* versor, const BGC_FP64_Slerp* slerp, const double phase)
 {
     const double angle = slerp->radians * phase;
     const double cosine = cos(angle);
     const double sine = sin(angle);
 
     bgc_fp64_versor_make(
+        versor,
         slerp->s0_cos_weight * cosine + slerp->s0_sin_weight * sine,
         slerp->x1_cos_weight * cosine + slerp->x1_sin_weight * sine,
         slerp->x2_cos_weight * cosine + slerp->x2_sin_weight * sine,
-        slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine,
+        slerp->x3_cos_weight * cosine + slerp->x3_sin_weight * sine
-        result
     );
 }
 

basic-geometry/vector2.c

@@ -3,8 +3,8 @@
 extern inline void bgc_fp32_vector2_reset(BGC_FP32_Vector2* vector);
 extern inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* vector);
 
-extern inline void bgc_fp32_vector2_make(const float x1, const float x2, BGC_FP32_Vector2* destination);
+extern inline void bgc_fp32_vector2_make(BGC_FP32_Vector2* destination, const float x1, const float x2);
-extern inline void bgc_fp64_vector2_make(const double x1, const double x2, BGC_FP64_Vector2* destination);
+extern inline void bgc_fp64_vector2_make(BGC_FP64_Vector2* destination, const double x1, const double x2);
 
 extern inline float bgc_fp32_vector2_get_square_modulus(const BGC_FP32_Vector2* vector);
 extern inline double bgc_fp64_vector2_get_square_modulus(const BGC_FP64_Vector2* vector);
@@ -18,50 +18,50 @@ extern inline int bgc_fp64_vector2_is_zero(const BGC_FP64_Vector2* vector);
 extern inline int bgc_fp32_vector2_is_unit(const BGC_FP32_Vector2* vector);
 extern inline int bgc_fp64_vector2_is_unit(const BGC_FP64_Vector2* vector);
 
-extern inline void bgc_fp32_vector2_copy(const BGC_FP32_Vector2* source, BGC_FP32_Vector2* destination);
+extern inline void bgc_fp32_vector2_copy(BGC_FP32_Vector2* destination, const BGC_FP32_Vector2* source);
-extern inline void bgc_fp64_vector2_copy(const BGC_FP64_Vector2* source, BGC_FP64_Vector2* destination);
+extern inline void bgc_fp64_vector2_copy(BGC_FP64_Vector2* destination, const BGC_FP64_Vector2* source);
 
 extern inline void bgc_fp32_vector2_swap(BGC_FP32_Vector2* vector1, BGC_FP32_Vector2* vector2);
 extern inline void bgc_fp64_vector2_swap(BGC_FP64_Vector2* vector1, BGC_FP64_Vector2* vector2);
 
-extern inline void bgc_fp64_vector2_convert_to_fp32(const BGC_FP64_Vector2* source, BGC_FP32_Vector2* destination);
+extern inline void bgc_fp32_vector2_convert_to_fp64(BGC_FP64_Vector2* destination, const BGC_FP32_Vector2* source);
-extern inline void bgc_fp32_vector2_convert_to_fp64(const BGC_FP32_Vector2* source, BGC_FP64_Vector2* destination);
+extern inline void bgc_fp64_vector2_convert_to_fp32(BGC_FP32_Vector2* destination, const BGC_FP64_Vector2* source);
 
-extern inline void bgc_fp32_vector2_add(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* sum);
+extern inline void bgc_fp32_vector2_add(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
-extern inline void bgc_fp64_vector2_add(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* sum);
+extern inline void bgc_fp64_vector2_add(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
 
-extern inline void bgc_fp32_vector2_add_scaled(const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale, BGC_FP32_Vector2* sum);
+extern inline void bgc_fp32_vector2_add_scaled(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale);
-extern inline void bgc_fp64_vector2_add_scaled(const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale, BGC_FP64_Vector2* sum);
+extern inline void bgc_fp64_vector2_add_scaled(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale);
 
-extern inline void bgc_fp32_vector2_subtract(const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend, BGC_FP32_Vector2* difference);
+extern inline void bgc_fp32_vector2_subtract(BGC_FP32_Vector2* difference, const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend);
-extern inline void bgc_fp64_vector2_subtract(const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend, BGC_FP64_Vector2* difference);
+extern inline void bgc_fp64_vector2_subtract(BGC_FP64_Vector2* difference, const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend);
 
-extern inline void bgc_fp32_vector2_multiply(const BGC_FP32_Vector2* multiplicand, const float multiplier, BGC_FP32_Vector2* product);
+extern inline void bgc_fp32_vector2_multiply(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* multiplicand, const float multiplier);
-extern inline void bgc_fp64_vector2_multiply(const BGC_FP64_Vector2* multiplicand, const double multiplier, BGC_FP64_Vector2* product);
+extern inline void bgc_fp64_vector2_multiply(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* multiplicand, const double multiplier);
 
-extern inline void bgc_fp32_vector2_divide(const BGC_FP32_Vector2* dividend, const float divisor, BGC_FP32_Vector2* quotient);
+extern inline void bgc_fp32_vector2_divide(BGC_FP32_Vector2* quotient, const BGC_FP32_Vector2* dividend, const float divisor);
-extern inline void bgc_fp64_vector2_divide(const BGC_FP64_Vector2* dividend, const double divisor, BGC_FP64_Vector2* quotient);
+extern inline void bgc_fp64_vector2_divide(BGC_FP64_Vector2* quotient, const BGC_FP64_Vector2* dividend, const double divisor);
 
-extern inline void bgc_fp32_vector2_get_middle2(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* middle);
+extern inline void bgc_fp32_vector2_get_mean2(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
-extern inline void bgc_fp64_vector2_get_middle2(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* middle);
+extern inline void bgc_fp64_vector2_get_mean2(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
 
-extern inline void bgc_fp32_vector2_get_middle3(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3, BGC_FP32_Vector2* middle);
+extern inline void bgc_fp32_vector2_get_mean3(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3);
-extern inline void bgc_fp64_vector2_get_middle3(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3, BGC_FP64_Vector2* middle);
+extern inline void bgc_fp64_vector2_get_mean3(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3);
 
-extern inline void bgc_fp32_vector2_interpolate(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase, BGC_FP32_Vector2* interpolation);
+extern inline void bgc_fp32_vector2_interpolate(BGC_FP32_Vector2* interpolation, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase);
-extern inline void bgc_fp64_vector2_interpolate(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase, BGC_FP64_Vector2* interpolation);
+extern inline void bgc_fp64_vector2_interpolate(BGC_FP64_Vector2* interpolation, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase);
 
 extern inline void bgc_fp32_vector2_revert(BGC_FP32_Vector2* vector);
 extern inline void bgc_fp64_vector2_revert(BGC_FP64_Vector2* vector);
 
-extern inline void bgc_fp32_vector2_get_reverse(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* reverse);
+extern inline void bgc_fp32_vector2_get_reverse(BGC_FP32_Vector2* reverse, const BGC_FP32_Vector2* vector);
-extern inline void bgc_fp64_vector2_get_reverse(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* reverse);
+extern inline void bgc_fp64_vector2_get_reverse(BGC_FP64_Vector2* reverse, const BGC_FP64_Vector2* vector);
 
 extern inline int bgc_fp32_vector2_normalize(BGC_FP32_Vector2* vector);
 extern inline int bgc_fp64_vector2_normalize(BGC_FP64_Vector2* vector);
 
-extern inline int bgc_fp32_vector2_get_normalized(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* normalized);
+extern inline int bgc_fp32_vector2_get_normalized(BGC_FP32_Vector2* normalized, const BGC_FP32_Vector2* vector);
-extern inline int bgc_fp64_vector2_get_normalized(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* normalized);
+extern inline int bgc_fp64_vector2_get_normalized(BGC_FP64_Vector2* normalized, const BGC_FP64_Vector2* vector);
 
 extern inline float bgc_fp32_vector2_get_dot_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
 extern inline double bgc_fp64_vector2_get_dot_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);

basic-geometry/vector2.h

@@ -32,13 +32,13 @@ inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* vector)
 
 // ==================== Set ===================== //
 
-inline void bgc_fp32_vector2_make(const float x1, const float x2, BGC_FP32_Vector2* destination)
+inline void bgc_fp32_vector2_make(BGC_FP32_Vector2* destination, const float x1, const float x2)
 {
     destination->x1 = x1;
     destination->x2 = x2;
 }
 
-inline void bgc_fp64_vector2_make(const double x1, const double x2, BGC_FP64_Vector2* destination)
+inline void bgc_fp64_vector2_make(BGC_FP64_Vector2* destination, const double x1, const double x2)
 {
     destination->x1 = x1;
     destination->x2 = x2;
@@ -90,13 +90,13 @@ inline int bgc_fp64_vector2_is_unit(const BGC_FP64_Vector2* vector)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_vector2_copy(const BGC_FP32_Vector2* source, BGC_FP32_Vector2* destination)
+inline void bgc_fp32_vector2_copy(BGC_FP32_Vector2* destination, const BGC_FP32_Vector2* source)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
 }
 
-inline void bgc_fp64_vector2_copy(const BGC_FP64_Vector2* source, BGC_FP64_Vector2* destination)
+inline void bgc_fp64_vector2_copy(BGC_FP64_Vector2* destination, const BGC_FP64_Vector2* source)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
@@ -130,27 +130,27 @@ inline void bgc_fp64_vector2_swap(BGC_FP64_Vector2* vector1, BGC_FP64_Vector2* v
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_vector2_convert_to_fp32(const BGC_FP64_Vector2* source, BGC_FP32_Vector2* destination)
+inline void bgc_fp32_vector2_convert_to_fp64(BGC_FP64_Vector2* destination, const BGC_FP32_Vector2* source)
-{
-    destination->x1 = (float)source->x1;
-    destination->x2 = (float)source->x2;
-}
-
-inline void bgc_fp32_vector2_convert_to_fp64(const BGC_FP32_Vector2* source, BGC_FP64_Vector2* destination)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
 }
 
+inline void bgc_fp64_vector2_convert_to_fp32(BGC_FP32_Vector2* destination, const BGC_FP64_Vector2* source)
+{
+    destination->x1 = (float)source->x1;
+    destination->x2 = (float)source->x2;
+}
+
 // ==================== Add ===================== //
 
-inline void bgc_fp32_vector2_add(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* sum)
+inline void bgc_fp32_vector2_add(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
 {
     sum->x1 = vector1->x1 + vector2->x1;
     sum->x2 = vector1->x2 + vector2->x2;
 }
 
-inline void bgc_fp64_vector2_add(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* sum)
+inline void bgc_fp64_vector2_add(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
 {
     sum->x1 = vector1->x1 + vector2->x1;
     sum->x2 = vector1->x2 + vector2->x2;
@@ -158,13 +158,13 @@ inline void bgc_fp64_vector2_add(const BGC_FP64_Vector2* vector1, const BGC_FP64
 
 // ================= Add scaled ================= //
 
-inline void bgc_fp32_vector2_add_scaled(const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale, BGC_FP32_Vector2* sum)
+inline void bgc_fp32_vector2_add_scaled(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale)
 {
     sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
     sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
 }
 
-inline void bgc_fp64_vector2_add_scaled(const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale, BGC_FP64_Vector2* sum)
+inline void bgc_fp64_vector2_add_scaled(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale)
 {
     sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
     sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
@@ -172,13 +172,13 @@ inline void bgc_fp64_vector2_add_scaled(const BGC_FP64_Vector2* basic_vector, co
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_vector2_subtract(const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend, BGC_FP32_Vector2* difference)
+inline void bgc_fp32_vector2_subtract(BGC_FP32_Vector2* difference, const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend)
 {
     difference->x1 = minuend->x1 - subtrahend->x1;
     difference->x2 = minuend->x2 - subtrahend->x2;
 }
 
-inline void bgc_fp64_vector2_subtract(const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend, BGC_FP64_Vector2* difference)
+inline void bgc_fp64_vector2_subtract(BGC_FP64_Vector2* difference, const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend)
 {
     difference->x1 = minuend->x1 - subtrahend->x1;
     difference->x2 = minuend->x2 - subtrahend->x2;
@@ -186,13 +186,13 @@ inline void bgc_fp64_vector2_subtract(const BGC_FP64_Vector2* minuend, const BGC
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_vector2_multiply(const BGC_FP32_Vector2* multiplicand, const float multiplier, BGC_FP32_Vector2* product)
+inline void bgc_fp32_vector2_multiply(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* multiplicand, const float multiplier)
 {
     product->x1 = multiplicand->x1 * multiplier;
     product->x2 = multiplicand->x2 * multiplier;
 }
 
-inline void bgc_fp64_vector2_multiply(const BGC_FP64_Vector2* multiplicand, const double multiplier, BGC_FP64_Vector2* product)
+inline void bgc_fp64_vector2_multiply(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* multiplicand, const double multiplier)
 {
     product->x1 = multiplicand->x1 * multiplier;
     product->x2 = multiplicand->x2 * multiplier;
@@ -200,47 +200,47 @@ inline void bgc_fp64_vector2_multiply(const BGC_FP64_Vector2* multiplicand, cons
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_vector2_divide(const BGC_FP32_Vector2* dividend, const float divisor, BGC_FP32_Vector2* quotient)
+inline void bgc_fp32_vector2_divide(BGC_FP32_Vector2* quotient, const BGC_FP32_Vector2* dividend, const float divisor)
 {
-    bgc_fp32_vector2_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_vector2_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_vector2_divide(const BGC_FP64_Vector2* dividend, const double divisor, BGC_FP64_Vector2* quotient)
+inline void bgc_fp64_vector2_divide(BGC_FP64_Vector2* quotient, const BGC_FP64_Vector2* dividend, const double divisor)
 {
-    bgc_fp64_vector2_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_vector2_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================ Mean of Two ================= //
 
-inline void bgc_fp32_vector2_get_middle2(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, BGC_FP32_Vector2* middle)
+inline void bgc_fp32_vector2_get_mean2(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2)
 {
-    middle->x1 = (vector1->x1 + vector2->x1) * 0.5f;
+    mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
-    middle->x2 = (vector1->x2 + vector2->x2) * 0.5f;
+    mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
 }
 
-inline void bgc_fp64_vector2_get_middle2(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, BGC_FP64_Vector2* middle)
+inline void bgc_fp64_vector2_get_mean2(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2)
 {
-    middle->x1 = (vector1->x1 + vector2->x1) * 0.5;
+    mean->x1 = (vector1->x1 + vector2->x1) * 0.5;
-    middle->x2 = (vector1->x2 + vector2->x2) * 0.5;
+    mean->x2 = (vector1->x2 + vector2->x2) * 0.5;
 }
 
 // =============== Mean of Three ================ //
 
-inline void bgc_fp32_vector2_get_middle3(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3, BGC_FP32_Vector2* middle)
+inline void bgc_fp32_vector2_get_mean3(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3)
 {
-    middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
+    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
-    middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
+    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
 }
 
-inline void bgc_fp64_vector2_get_middle3(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3, BGC_FP64_Vector2* middle)
+inline void bgc_fp64_vector2_get_mean3(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3)
 {
-    middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
+    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
-    middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
+    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
 }
 
 // =================== Linear =================== //
 
-inline void bgc_fp32_vector2_interpolate(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase, BGC_FP32_Vector2* interpolation)
+inline void bgc_fp32_vector2_interpolate(BGC_FP32_Vector2* interpolation, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase)
 {
     const float counter_phase = 1.0f - phase;
 
@@ -248,7 +248,7 @@ inline void bgc_fp32_vector2_interpolate(const BGC_FP32_Vector2* vector1, const
     interpolation->x2 = vector1->x2 * counter_phase + vector2->x2 * phase;
 }
 
-inline void bgc_fp64_vector2_interpolate(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase, BGC_FP64_Vector2* interpolation)
+inline void bgc_fp64_vector2_interpolate(BGC_FP64_Vector2* interpolation, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase)
 {
     const double counter_phase = 1.0 - phase;
 
@@ -270,13 +270,13 @@ inline void bgc_fp64_vector2_revert(BGC_FP64_Vector2* vector)
     vector->x2 = -vector->x2;
 }
 
-inline void bgc_fp32_vector2_get_reverse(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* reverse)
+inline void bgc_fp32_vector2_get_reverse(BGC_FP32_Vector2* reverse, const BGC_FP32_Vector2* vector)
 {
     reverse->x1 = -vector->x1;
     reverse->x2 = -vector->x2;
 }
 
-inline void bgc_fp64_vector2_get_reverse(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* reverse)
+inline void bgc_fp64_vector2_get_reverse(BGC_FP64_Vector2* reverse, const BGC_FP64_Vector2* vector)
 {
     reverse->x1 = -vector->x1;
     reverse->x2 = -vector->x2;
@@ -324,12 +324,12 @@ inline int bgc_fp64_vector2_normalize(BGC_FP64_Vector2* vector)
     return 1;
 }
 
-inline int bgc_fp32_vector2_get_normalized(const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* normalized)
+inline int bgc_fp32_vector2_get_normalized(BGC_FP32_Vector2* normalized, const BGC_FP32_Vector2* vector)
 {
     const float square_modulus = bgc_fp32_vector2_get_square_modulus(vector);
 
     if (bgc_fp32_is_square_unit(square_modulus)) {
-        bgc_fp32_vector2_copy(vector, normalized);
+        bgc_fp32_vector2_copy(normalized, vector);
         return 1;
     }
 
@@ -338,16 +338,16 @@ inline int bgc_fp32_vector2_get_normalized(const BGC_FP32_Vector2* vector, BGC_F
         return 0;
     }
 
-    bgc_fp32_vector2_multiply(vector, sqrtf(1.0f / square_modulus), normalized);
+    bgc_fp32_vector2_multiply(normalized, vector, sqrtf(1.0f / square_modulus));
     return 1;
 }
 
-inline int bgc_fp64_vector2_get_normalized(const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* normalized)
+inline int bgc_fp64_vector2_get_normalized(BGC_FP64_Vector2* normalized, const BGC_FP64_Vector2* vector)
 {
     const double square_modulus = bgc_fp64_vector2_get_square_modulus(vector);
 
     if (bgc_fp64_is_square_unit(square_modulus)) {
-        bgc_fp64_vector2_copy(vector, normalized);
+        bgc_fp64_vector2_copy(normalized, vector);
         return 1;
     }
 
@@ -356,7 +356,7 @@ inline int bgc_fp64_vector2_get_normalized(const BGC_FP64_Vector2* vector, BGC_F
         return 0;
     }
 
-    bgc_fp64_vector2_multiply(vector, sqrt(1.0 / square_modulus), normalized);
+    bgc_fp64_vector2_multiply(normalized, vector, sqrt(1.0 / square_modulus));
     return 1;
 }
 

basic-geometry/vector3.c

@@ -3,8 +3,8 @@
 extern inline void bgc_fp32_vector3_reset(BGC_FP32_Vector3* vector);
 extern inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* vector);
 
-extern inline void bgc_fp32_vector3_make(const float x1, const float x2, const float x3, BGC_FP32_Vector3* destination);
+extern inline void bgc_fp32_vector3_make(BGC_FP32_Vector3* destination, const float x1, const float x2, const float x3);
-extern inline void bgc_fp64_vector3_make(const double x1, const double x2, const double x3, BGC_FP64_Vector3* destination);
+extern inline void bgc_fp64_vector3_make(BGC_FP64_Vector3* destination, const double x1, const double x2, const double x3);
 
 extern inline float bgc_fp32_vector3_get_square_modulus(const BGC_FP32_Vector3* vector);
 extern inline double bgc_fp64_vector3_get_square_modulus(const BGC_FP64_Vector3* vector);
@@ -18,50 +18,50 @@ extern inline int bgc_fp64_vector3_is_zero(const BGC_FP64_Vector3* vector);
 extern inline int bgc_fp32_vector3_is_unit(const BGC_FP32_Vector3* vector);
 extern inline int bgc_fp64_vector3_is_unit(const BGC_FP64_Vector3* vector);
 
-extern inline void bgc_fp32_vector3_copy(const BGC_FP32_Vector3* source, BGC_FP32_Vector3* destination);
+extern inline void bgc_fp32_vector3_copy(BGC_FP32_Vector3* destination, const BGC_FP32_Vector3* source);
-extern inline void bgc_fp64_vector3_copy(const BGC_FP64_Vector3* source, BGC_FP64_Vector3* destination);
+extern inline void bgc_fp64_vector3_copy(BGC_FP64_Vector3* destination, const BGC_FP64_Vector3* source);
 
-extern inline void bgc_fp32_vector3_convert_to_fp64(const BGC_FP32_Vector3* source, BGC_FP64_Vector3* destination);
+extern inline void bgc_fp32_vector3_convert_to_fp64(BGC_FP64_Vector3* destination, const BGC_FP32_Vector3* source);
-extern inline void bgc_fp64_vector3_convert_to_fp32(const BGC_FP64_Vector3* source, BGC_FP32_Vector3* destination);
+extern inline void bgc_fp64_vector3_convert_to_fp32(BGC_FP32_Vector3* destination, const BGC_FP64_Vector3* source);
 
 extern inline void bgc_fp32_vector3_swap(BGC_FP32_Vector3* vector1, BGC_FP32_Vector3* vector2);
 extern inline void bgc_fp64_vector3_swap(BGC_FP64_Vector3* vector1, BGC_FP64_Vector3* vector2);
 
-extern inline void bgc_fp32_vector3_add(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* sum);
+extern inline void bgc_fp32_vector3_add(BGC_FP32_Vector3* sum, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
-extern inline void bgc_fp64_vector3_add(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* sum);
+extern inline void bgc_fp64_vector3_add(BGC_FP64_Vector3* sum, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
 
-extern inline void bgc_fp32_vector3_add_scaled(const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale, BGC_FP32_Vector3* sum);
+extern inline void bgc_fp32_vector3_add_scaled(BGC_FP32_Vector3* sum, const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale);
-extern inline void bgc_fp64_vector3_add_scaled(const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale, BGC_FP64_Vector3* sum);
+extern inline void bgc_fp64_vector3_add_scaled(BGC_FP64_Vector3* sum, const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale);
 
-extern inline void bgc_fp32_vector3_subtract(const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend, BGC_FP32_Vector3* difference);
+extern inline void bgc_fp32_vector3_subtract(BGC_FP32_Vector3* difference, const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend);
-extern inline void bgc_fp64_vector3_subtract(const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend, BGC_FP64_Vector3* difference);
+extern inline void bgc_fp64_vector3_subtract(BGC_FP64_Vector3* difference, const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend);
 
-extern inline void bgc_fp32_vector3_multiply(const BGC_FP32_Vector3* multiplicand, const float multiplier, BGC_FP32_Vector3* product);
+extern inline void bgc_fp32_vector3_multiply(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* multiplicand, const float multiplier);
-extern inline void bgc_fp64_vector3_multiply(const BGC_FP64_Vector3* multiplicand, const double multiplier, BGC_FP64_Vector3* product);
+extern inline void bgc_fp64_vector3_multiply(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* multiplicand, const double multiplier);
 
-extern inline void bgc_fp32_vector3_divide(const BGC_FP32_Vector3* dividend, const float divisor, BGC_FP32_Vector3* quotient);
+extern inline void bgc_fp32_vector3_divide(BGC_FP32_Vector3* quotient, const BGC_FP32_Vector3* dividend, const float divisor);
-extern inline void bgc_fp64_vector3_divide(const BGC_FP64_Vector3* dividend, const double divisor, BGC_FP64_Vector3* quotient);
+extern inline void bgc_fp64_vector3_divide(BGC_FP64_Vector3* quotient, const BGC_FP64_Vector3* dividend, const double divisor);
 
-extern inline void bgc_fp32_vector3_get_middle2(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* middle);
+extern inline void bgc_fp32_vector3_get_mean2(BGC_FP32_Vector3* mean, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
-extern inline void bgc_fp64_vector3_get_middle2(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* middle);
+extern inline void bgc_fp64_vector3_get_mean2(BGC_FP64_Vector3* mean, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
 
-extern inline void bgc_fp32_vector3_get_middle3(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* middle);
+extern inline void bgc_fp32_vector3_get_mean3(BGC_FP32_Vector3* mean, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3);
-extern inline void bgc_fp64_vector3_get_middle3(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* middle);
+extern inline void bgc_fp64_vector3_get_mean3(BGC_FP64_Vector3* mean, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3);
 
-extern inline void bgc_fp32_vector3_interpolate(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase, BGC_FP32_Vector3* interpolation);
+extern inline void bgc_fp32_vector3_interpolate(BGC_FP32_Vector3* interpolation, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase);
-extern inline void bgc_fp64_vector3_interpolate(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase, BGC_FP64_Vector3* interpolation);
+extern inline void bgc_fp64_vector3_interpolate(BGC_FP64_Vector3* interpolation, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase);
 
 extern inline void bgc_fp32_vector3_revert(BGC_FP32_Vector3* vector);
 extern inline void bgc_fp64_vector3_revert(BGC_FP64_Vector3* vector);
 
-extern inline void bgc_fp32_vector3_get_reverse(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* reverse);
+extern inline void bgc_fp32_vector3_get_reverse(BGC_FP32_Vector3* reverse, const BGC_FP32_Vector3* vector);
-extern inline void bgc_fp64_vector3_get_reverse(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* reverse);
+extern inline void bgc_fp64_vector3_get_reverse(BGC_FP64_Vector3* reverse, const BGC_FP64_Vector3* vector);
 
 extern inline int bgc_fp32_vector3_normalize(BGC_FP32_Vector3* vector);
 extern inline int bgc_fp64_vector3_normalize(BGC_FP64_Vector3* vector);
 
-extern inline int bgc_fp32_vector3_get_normalized(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* normalized);
+extern inline int bgc_fp32_vector3_get_normalized(BGC_FP32_Vector3* normalized, const BGC_FP32_Vector3* vector);
-extern inline int bgc_fp64_vector3_get_normalized(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* normalized);
+extern inline int bgc_fp64_vector3_get_normalized(BGC_FP64_Vector3* normalized, const BGC_FP64_Vector3* vector);
 
 extern inline float bgc_fp32_vector3_get_dot_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
 extern inline double bgc_fp64_vector3_get_dot_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
@@ -69,11 +69,11 @@ extern inline double bgc_fp64_vector3_get_dot_product(const BGC_FP64_Vector3* ve
 extern inline float bgc_fp32_vector3_get_triple_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3);
 extern inline double bgc_fp64_vector3_get_triple_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3);
 
-extern inline void bgc_fp32_vector3_get_cross_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_vector3_get_cross_product(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
-extern inline void bgc_fp64_vector3_get_cross_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_vector3_get_cross_product(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
 
-extern inline void bgc_fp32_vector3_get_double_cross(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_vector3_get_double_cross(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3);
-extern inline void bgc_fp64_vector3_get_double_cross(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_vector3_get_double_cross(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3);
 
 extern inline float bgc_fp32_vector3_get_square_distance(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2);
 extern inline double bgc_fp64_vector3_get_square_distance(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2);
@@ -116,7 +116,7 @@ float bgc_fp32_vector3_get_angle(const BGC_FP32_Vector3* vector1, const BGC_FP32
 
     BGC_FP32_Vector3 cross_product;
 
-    bgc_fp32_vector3_get_cross_product(vector1, vector2, &cross_product);
+    bgc_fp32_vector3_get_cross_product(&cross_product, vector1, vector2);
 
     const float scalar = bgc_fp32_vector3_get_dot_product(vector1, vector2);
 
@@ -143,7 +143,7 @@ double bgc_fp64_vector3_get_angle(const BGC_FP64_Vector3* vector1, const BGC_FP6
 
     BGC_FP64_Vector3 cross_product;
 
-    bgc_fp64_vector3_get_cross_product(vector1, vector2, &cross_product);
+    bgc_fp64_vector3_get_cross_product(&cross_product, vector1, vector2);
 
     const double scalar = bgc_fp64_vector3_get_dot_product(vector1, vector2);
 

basic-geometry/vector3.h

@@ -36,14 +36,14 @@ inline void bgc_fp64_vector3_reset(BGC_FP64_Vector3* vector)
 
 // ==================== Set ===================== //
 
-inline void bgc_fp32_vector3_make(const float x1, const float x2, const float x3, BGC_FP32_Vector3* destination)
+inline void bgc_fp32_vector3_make(BGC_FP32_Vector3* destination, const float x1, const float x2, const float x3)
 {
     destination->x1 = x1;
     destination->x2 = x2;
     destination->x3 = x3;
 }
 
-inline void bgc_fp64_vector3_make(const double x1, const double x2, const double x3, BGC_FP64_Vector3* destination)
+inline void bgc_fp64_vector3_make(BGC_FP64_Vector3* destination, const double x1, const double x2, const double x3)
 {
     destination->x1 = x1;
     destination->x2 = x2;
@@ -96,14 +96,14 @@ inline int bgc_fp64_vector3_is_unit(const BGC_FP64_Vector3* vector)
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_vector3_copy(const BGC_FP32_Vector3* source, BGC_FP32_Vector3* destination)
+inline void bgc_fp32_vector3_copy(BGC_FP32_Vector3* destination, const BGC_FP32_Vector3* source)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
     destination->x3 = source->x3;
 }
 
-inline void bgc_fp64_vector3_copy(const BGC_FP64_Vector3* source, BGC_FP64_Vector3* destination)
+inline void bgc_fp64_vector3_copy(BGC_FP64_Vector3* destination, const BGC_FP64_Vector3* source)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
@@ -144,30 +144,30 @@ inline void bgc_fp64_vector3_swap(BGC_FP64_Vector3* vector1, BGC_FP64_Vector3* v
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_vector3_convert_to_fp32(const BGC_FP64_Vector3* source, BGC_FP32_Vector3* destination)
+inline void bgc_fp32_vector3_convert_to_fp64(BGC_FP64_Vector3* destination, const BGC_FP32_Vector3* source)
-{
-    destination->x1 = (float)source->x1;
-    destination->x2 = (float)source->x2;
-    destination->x3 = (float)source->x3;
-}
-
-inline void bgc_fp32_vector3_convert_to_fp64(const BGC_FP32_Vector3* source, BGC_FP64_Vector3* destination)
 {
     destination->x1 = source->x1;
     destination->x2 = source->x2;
     destination->x3 = source->x3;
 }
 
+inline void bgc_fp64_vector3_convert_to_fp32(BGC_FP32_Vector3* destination, const BGC_FP64_Vector3* source)
+{
+    destination->x1 = (float)source->x1;
+    destination->x2 = (float)source->x2;
+    destination->x3 = (float)source->x3;
+}
+
 // ==================== Add ===================== //
 
-inline void bgc_fp32_vector3_add(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* sum)
+inline void bgc_fp32_vector3_add(BGC_FP32_Vector3* sum, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
 {
     sum->x1 = vector1->x1 + vector2->x1;
     sum->x2 = vector1->x2 + vector2->x2;
     sum->x3 = vector1->x3 + vector2->x3;
 }
 
-inline void bgc_fp64_vector3_add(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* sum)
+inline void bgc_fp64_vector3_add(BGC_FP64_Vector3* sum, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
 {
     sum->x1 = vector1->x1 + vector2->x1;
     sum->x2 = vector1->x2 + vector2->x2;
@@ -176,14 +176,14 @@ inline void bgc_fp64_vector3_add(const BGC_FP64_Vector3* vector1, const BGC_FP64
 
 // ================= Add scaled ================= //
 
-inline void bgc_fp32_vector3_add_scaled(const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale, BGC_FP32_Vector3* sum)
+inline void bgc_fp32_vector3_add_scaled(BGC_FP32_Vector3* sum, const BGC_FP32_Vector3* basic_vector, const BGC_FP32_Vector3* scalable_vector, const float scale)
 {
     sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
     sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
     sum->x3 = basic_vector->x3 + scalable_vector->x3 * scale;
 }
 
-inline void bgc_fp64_vector3_add_scaled(const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale, BGC_FP64_Vector3* sum)
+inline void bgc_fp64_vector3_add_scaled(BGC_FP64_Vector3* sum, const BGC_FP64_Vector3* basic_vector, const BGC_FP64_Vector3* scalable_vector, const double scale)
 {
     sum->x1 = basic_vector->x1 + scalable_vector->x1 * scale;
     sum->x2 = basic_vector->x2 + scalable_vector->x2 * scale;
@@ -192,14 +192,14 @@ inline void bgc_fp64_vector3_add_scaled(const BGC_FP64_Vector3* basic_vector, co
 
 // ================== Subtract ================== //
 
-inline void bgc_fp32_vector3_subtract(const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend, BGC_FP32_Vector3* difference)
+inline void bgc_fp32_vector3_subtract(BGC_FP32_Vector3* difference, const BGC_FP32_Vector3* minuend, const BGC_FP32_Vector3* subtrahend)
 {
     difference->x1 = minuend->x1 - subtrahend->x1;
     difference->x2 = minuend->x2 - subtrahend->x2;
     difference->x3 = minuend->x3 - subtrahend->x3;
 }
 
-inline void bgc_fp64_vector3_subtract(const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend, BGC_FP64_Vector3* difference)
+inline void bgc_fp64_vector3_subtract(BGC_FP64_Vector3* difference, const BGC_FP64_Vector3* minuend, const BGC_FP64_Vector3* subtrahend)
 {
     difference->x1 = minuend->x1 - subtrahend->x1;
     difference->x2 = minuend->x2 - subtrahend->x2;
@@ -208,14 +208,14 @@ inline void bgc_fp64_vector3_subtract(const BGC_FP64_Vector3* minuend, const BGC
 
 // ================== Multiply ================== //
 
-inline void bgc_fp32_vector3_multiply(const BGC_FP32_Vector3* multiplicand, const float multiplier, BGC_FP32_Vector3* product)
+inline void bgc_fp32_vector3_multiply(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* multiplicand, const float multiplier)
 {
     product->x1 = multiplicand->x1 * multiplier;
     product->x2 = multiplicand->x2 * multiplier;
     product->x3 = multiplicand->x3 * multiplier;
 }
 
-inline void bgc_fp64_vector3_multiply(const BGC_FP64_Vector3* multiplicand, const double multiplier, BGC_FP64_Vector3* product)
+inline void bgc_fp64_vector3_multiply(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* multiplicand, const double multiplier)
 {
     product->x1 = multiplicand->x1 * multiplier;
     product->x2 = multiplicand->x2 * multiplier;
@@ -224,51 +224,51 @@ inline void bgc_fp64_vector3_multiply(const BGC_FP64_Vector3* multiplicand, cons
 
 // =================== Divide =================== //
 
-inline void bgc_fp32_vector3_divide(const BGC_FP32_Vector3* dividend, const float divisor, BGC_FP32_Vector3* quotient)
+inline void bgc_fp32_vector3_divide(BGC_FP32_Vector3* quotient, const BGC_FP32_Vector3* dividend, const float divisor)
 {
-    bgc_fp32_vector3_multiply(dividend, 1.0f / divisor, quotient);
+    bgc_fp32_vector3_multiply(quotient, dividend, 1.0f / divisor);
 }
 
-inline void bgc_fp64_vector3_divide(const BGC_FP64_Vector3* dividend, const double divisor, BGC_FP64_Vector3* quotient)
+inline void bgc_fp64_vector3_divide(BGC_FP64_Vector3* quotient, const BGC_FP64_Vector3* dividend, const double divisor)
 {
-    bgc_fp64_vector3_multiply(dividend, 1.0 / divisor, quotient);
+    bgc_fp64_vector3_multiply(quotient, dividend, 1.0 / divisor);
 }
 
 // ================== Average2 ================== //
 
-inline void bgc_fp32_vector3_get_middle2(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* middle)
+inline void bgc_fp32_vector3_get_mean2(BGC_FP32_Vector3* mean, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
 {
-    middle->x1 = (vector1->x1 + vector2->x1) * 0.5f;
+    mean->x1 = (vector1->x1 + vector2->x1) * 0.5f;
-    middle->x2 = (vector1->x2 + vector2->x2) * 0.5f;
+    mean->x2 = (vector1->x2 + vector2->x2) * 0.5f;
-    middle->x3 = (vector1->x3 + vector2->x3) * 0.5f;
+    mean->x3 = (vector1->x3 + vector2->x3) * 0.5f;
 }
 
-inline void bgc_fp64_vector3_get_middle2(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* middle)
+inline void bgc_fp64_vector3_get_mean2(BGC_FP64_Vector3* mean, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
 {
-    middle->x1 = (vector1->x1 + vector2->x1) * 0.5;
+    mean->x1 = (vector1->x1 + vector2->x1) * 0.5;
-    middle->x2 = (vector1->x2 + vector2->x2) * 0.5;
+    mean->x2 = (vector1->x2 + vector2->x2) * 0.5;
-    middle->x3 = (vector1->x3 + vector2->x3) * 0.5;
+    mean->x3 = (vector1->x3 + vector2->x3) * 0.5;
 }
 
 // ================== Average3 ================== //
 
-inline void bgc_fp32_vector3_get_middle3(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* middle)
+inline void bgc_fp32_vector3_get_mean3(BGC_FP32_Vector3* mean, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3)
 {
-    middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
+    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP32_ONE_THIRD;
-    middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
+    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP32_ONE_THIRD;
-    middle->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP32_ONE_THIRD;
+    mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP32_ONE_THIRD;
 }
 
-inline void bgc_fp64_vector3_get_middle3(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* middle)
+inline void bgc_fp64_vector3_get_mean3(BGC_FP64_Vector3* mean, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3)
 {
-    middle->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
+    mean->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BGC_FP64_ONE_THIRD;
-    middle->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
+    mean->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BGC_FP64_ONE_THIRD;
-    middle->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP64_ONE_THIRD;
+    mean->x3 = (vector1->x3 + vector2->x3 + vector3->x3) * BGC_FP64_ONE_THIRD;
 }
 
 // =================== Linear =================== //
 
-inline void bgc_fp32_vector3_interpolate(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase, BGC_FP32_Vector3* interpolation)
+inline void bgc_fp32_vector3_interpolate(BGC_FP32_Vector3* interpolation, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const float phase)
 {
     const float counter_phase = 1.0f - phase;
 
@@ -277,7 +277,7 @@ inline void bgc_fp32_vector3_interpolate(const BGC_FP32_Vector3* vector1, const
     interpolation->x3 = vector1->x3 * counter_phase + vector2->x3 * phase;
 }
 
-inline void bgc_fp64_vector3_interpolate(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase, BGC_FP64_Vector3* interpolation)
+inline void bgc_fp64_vector3_interpolate(BGC_FP64_Vector3* interpolation, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const double phase)
 {
     const double counter_phase = 1.0 - phase;
 
@@ -302,14 +302,14 @@ inline void bgc_fp64_vector3_revert(BGC_FP64_Vector3* vector)
     vector->x3 = -vector->x3;
 }
 
-inline void bgc_fp32_vector3_get_reverse(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* reverse)
+inline void bgc_fp32_vector3_get_reverse(BGC_FP32_Vector3* reverse, const BGC_FP32_Vector3* vector)
 {
     reverse->x1 = -vector->x1;
     reverse->x2 = -vector->x2;
     reverse->x3 = -vector->x3;
 }
 
-inline void bgc_fp64_vector3_get_reverse(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* reverse)
+inline void bgc_fp64_vector3_get_reverse(BGC_FP64_Vector3* reverse, const BGC_FP64_Vector3* vector)
 {
     reverse->x1 = -vector->x1;
     reverse->x2 = -vector->x2;
@@ -360,12 +360,12 @@ inline int bgc_fp64_vector3_normalize(BGC_FP64_Vector3* vector)
     return 1;
 }
 
-inline int bgc_fp32_vector3_get_normalized(const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* normalized)
+inline int bgc_fp32_vector3_get_normalized(BGC_FP32_Vector3* normalized, const BGC_FP32_Vector3* vector)
 {
     const float square_modulus = bgc_fp32_vector3_get_square_modulus(vector);
 
     if (bgc_fp32_is_square_unit(square_modulus)) {
-        bgc_fp32_vector3_copy(vector, normalized);
+        bgc_fp32_vector3_copy(normalized, vector);
         return 1;
     }
 
@@ -374,16 +374,16 @@ inline int bgc_fp32_vector3_get_normalized(const BGC_FP32_Vector3* vector, BGC_F
         return 0;
     }
 
-    bgc_fp32_vector3_multiply(vector, sqrtf(1.0f / square_modulus), normalized);
+    bgc_fp32_vector3_multiply(normalized, vector, sqrtf(1.0f / square_modulus));
     return 1;
 }
 
-inline int bgc_fp64_vector3_get_normalized(const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* normalized)
+inline int bgc_fp64_vector3_get_normalized(BGC_FP64_Vector3* normalized, const BGC_FP64_Vector3* vector)
 {
     const double square_modulus = bgc_fp64_vector3_get_square_modulus(vector);
 
     if (bgc_fp64_is_square_unit(square_modulus)) {
-        bgc_fp64_vector3_copy(vector, normalized);
+        bgc_fp64_vector3_copy(normalized, vector);
         return 1;
     }
 
@@ -392,7 +392,7 @@ inline int bgc_fp64_vector3_get_normalized(const BGC_FP64_Vector3* vector, BGC_F
         return 0;
     }
 
-    bgc_fp64_vector3_multiply(vector, sqrt(1.0 / square_modulus), normalized);
+    bgc_fp64_vector3_multiply(normalized, vector, sqrt(1.0 / square_modulus));
     return 1;
 }
 
@@ -426,7 +426,7 @@ inline double bgc_fp64_vector3_get_triple_product(const BGC_FP64_Vector3* vector
 
 // =============== Cross Product ================ //
 
-inline void bgc_fp32_vector3_get_cross_product(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, BGC_FP32_Vector3* product)
+inline void bgc_fp32_vector3_get_cross_product(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2)
 {
     const float x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
     const float x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
@@ -437,7 +437,7 @@ inline void bgc_fp32_vector3_get_cross_product(const BGC_FP32_Vector3* vector1,
     product->x3 = x3;
 }
 
-inline void bgc_fp64_vector3_get_cross_product(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, BGC_FP64_Vector3* product)
+inline void bgc_fp64_vector3_get_cross_product(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2)
 {
     const double x1 = vector1->x2 * vector2->x3 - vector1->x3 * vector2->x2;
     const double x2 = vector1->x3 * vector2->x1 - vector1->x1 * vector2->x3;
@@ -450,7 +450,7 @@ inline void bgc_fp64_vector3_get_cross_product(const BGC_FP64_Vector3* vector1,
 
 // ============ Double Cross Product ============ //
 
-inline void bgc_fp32_vector3_get_double_cross(const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3, BGC_FP32_Vector3* product)
+inline void bgc_fp32_vector3_get_double_cross(BGC_FP32_Vector3* product, const BGC_FP32_Vector3* vector1, const BGC_FP32_Vector3* vector2, const BGC_FP32_Vector3* vector3)
 {
     const float ac = bgc_fp32_vector3_get_dot_product(vector1, vector3);
     const float ab = bgc_fp32_vector3_get_dot_product(vector1, vector2);
@@ -460,7 +460,7 @@ inline void bgc_fp32_vector3_get_double_cross(const BGC_FP32_Vector3* vector1, c
     product->x3 = vector2->x3 * ac - vector3->x3 * ab;
 }
 
-inline void bgc_fp64_vector3_get_double_cross(const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3, BGC_FP64_Vector3* product)
+inline void bgc_fp64_vector3_get_double_cross(BGC_FP64_Vector3* product, const BGC_FP64_Vector3* vector1, const BGC_FP64_Vector3* vector2, const BGC_FP64_Vector3* vector3)
 {
     const double ac = bgc_fp64_vector3_get_dot_product(vector1, vector3);
     const double ab = bgc_fp64_vector3_get_dot_product(vector1, vector2);
@@ -561,7 +561,7 @@ inline int bgc_fp32_vector3_are_parallel(const BGC_FP32_Vector3* vector1, const
 
     BGC_FP32_Vector3 product;
 
-    bgc_fp32_vector3_get_cross_product(vector1, vector2, &product);
+    bgc_fp32_vector3_get_cross_product(&product, vector1, vector2);
 
     return bgc_fp32_vector3_get_square_modulus(&product) <= BGC_FP32_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
 }
@@ -577,7 +577,7 @@ inline int bgc_fp64_vector3_are_parallel(const BGC_FP64_Vector3* vector1, const
 
     BGC_FP64_Vector3 product;
 
-    bgc_fp64_vector3_get_cross_product(vector1, vector2, &product);
+    bgc_fp64_vector3_get_cross_product(&product, vector1, vector2);
 
     return bgc_fp64_vector3_get_square_modulus(&product) <= BGC_FP64_SQUARE_EPSYLON * square_modulus1 * square_modulus2;
 }
@@ -633,7 +633,7 @@ inline int bgc_fp32_vector3_get_attitude(const BGC_FP32_Vector3* vector1, const
 
     BGC_FP32_Vector3 product;
 
-    bgc_fp32_vector3_get_cross_product(vector1, vector2, &product);
+    bgc_fp32_vector3_get_cross_product(&product, vector1, vector2);
 
     if (bgc_fp32_vector3_get_square_modulus(&product) > square_limit) {
         return BGC_ATTITUDE_ANY;
@@ -661,7 +661,7 @@ inline int bgc_fp64_vector3_get_attitude(const BGC_FP64_Vector3* vector1, const
 
     BGC_FP64_Vector3 product;
 
-    bgc_fp64_vector3_get_cross_product(vector1, vector2, &product);
+    bgc_fp64_vector3_get_cross_product(&product, vector1, vector2);
 
     if (bgc_fp64_vector3_get_square_modulus(&product) > square_limit) {
         return BGC_ATTITUDE_ANY;

basic-geometry/versor.c

@@ -10,14 +10,14 @@ const BGC_FP64_Versor BGC_FP64_IDLE_VERSOR = { 1.0, 0.0, 0.0, 0.0 };
 extern inline void bgc_fp32_versor_reset(BGC_FP32_Versor* versor);
 extern inline void bgc_fp64_versor_reset(BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Versor* versor);
+extern inline void bgc_fp32_versor_make(BGC_FP32_Versor* versor, const float s0, const float x1, const float x2, const float x3);
-extern inline void bgc_fp64_versor_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Versor* versor);
+extern inline void bgc_fp64_versor_make(BGC_FP64_Versor* versor, const double s0, const double x1, const double x2, const double x3);
 
-extern inline void bgc_fp32_versor_make_for_rotation(const BGC_FP32_Rotation3* rotation, BGC_FP32_Versor* result);
+extern inline void bgc_fp32_versor_make_for_rotation(BGC_FP32_Versor* versor, const BGC_FP32_Rotation3* rotation);
-extern inline void bgc_fp64_versor_make_for_rotation(const BGC_FP64_Rotation3* rotation, BGC_FP64_Versor* result);
+extern inline void bgc_fp64_versor_make_for_rotation(BGC_FP64_Versor* versor, const BGC_FP64_Rotation3* rotation);
 
-extern inline void bgc_fp32_versor_copy(const BGC_FP32_Versor* source, BGC_FP32_Versor* destination);
+extern inline void bgc_fp32_versor_copy(BGC_FP32_Versor* destination, const BGC_FP32_Versor* source);
-extern inline void bgc_fp64_versor_copy(const BGC_FP64_Versor* source, BGC_FP64_Versor* destination);
+extern inline void bgc_fp64_versor_copy(BGC_FP64_Versor* destination, const BGC_FP64_Versor* source);
 
 extern inline void bgc_fp32_versor_swap(BGC_FP32_Versor* versor1, BGC_FP32_Versor* versor2);
 extern inline void bgc_fp64_versor_swap(BGC_FP64_Versor* versor1, BGC_FP64_Versor* versor2);
@@ -25,50 +25,50 @@ extern inline void bgc_fp64_versor_swap(BGC_FP64_Versor* versor1, BGC_FP64_Verso
 extern inline int bgc_fp32_versor_is_idle(const BGC_FP32_Versor* versor);
 extern inline int bgc_fp64_versor_is_idle(const BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp64_versor_convert_to_fp32(const BGC_FP64_Versor* source, BGC_FP32_Versor* destination);
+extern inline void bgc_fp32_versor_convert_to_fp64(BGC_FP64_Versor* destination, const BGC_FP32_Versor* source);
-extern inline void bgc_fp32_versor_convert_to_fp64(const BGC_FP32_Versor* source, BGC_FP64_Versor* destination);
+extern inline void bgc_fp64_versor_convert_to_fp32(BGC_FP32_Versor* destination, const BGC_FP64_Versor* source);
 
 extern inline void bgc_fp32_versor_shorten(BGC_FP32_Versor* versor);
 extern inline void bgc_fp64_versor_shorten(BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_get_shortened(const BGC_FP32_Versor* versor, BGC_FP32_Versor* shortened);
+extern inline void bgc_fp32_versor_get_shortened(BGC_FP32_Versor* shortened, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_shortened(const BGC_FP64_Versor* versor, BGC_FP64_Versor* shortened);
+extern inline void bgc_fp64_versor_get_shortened(BGC_FP64_Versor* shortened, const BGC_FP64_Versor* versor);
 
 extern inline void bgc_fp32_versor_alternate(BGC_FP32_Versor* versor);
 extern inline void bgc_fp64_versor_alternate(BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_get_alternative(const BGC_FP32_Versor* versor, BGC_FP32_Versor* opposite);
+extern inline void bgc_fp32_versor_get_alternative(BGC_FP32_Versor* alternative, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_alternative(const BGC_FP64_Versor* versor, BGC_FP64_Versor* opposite);
+extern inline void bgc_fp64_versor_get_alternative(BGC_FP64_Versor* alternative, const BGC_FP64_Versor* versor);
 
 extern inline void bgc_fp32_versor_revert(BGC_FP32_Versor* versor);
 extern inline void bgc_fp64_versor_revert(BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_get_reverse(const BGC_FP32_Versor* versor, BGC_FP32_Versor* inverse);
+extern inline void bgc_fp32_versor_get_reverse(BGC_FP32_Versor* inverse, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_reverse(const BGC_FP64_Versor* versor, BGC_FP64_Versor* inverse);
+extern inline void bgc_fp64_versor_get_reverse(BGC_FP64_Versor* inverse, const BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_combine(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, BGC_FP32_Versor* result);
+extern inline void bgc_fp32_versor_combine(BGC_FP32_Versor* combination, const BGC_FP32_Versor* first, const BGC_FP32_Versor* second);
-extern inline void bgc_fp64_versor_combine(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, BGC_FP64_Versor* result);
+extern inline void bgc_fp64_versor_combine(BGC_FP64_Versor* combination, const BGC_FP64_Versor* first, const BGC_FP64_Versor* second);
 
-extern inline void bgc_fp32_versor_combine3(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, const BGC_FP32_Versor* third, BGC_FP32_Versor* result);
+extern inline void bgc_fp32_versor_combine3(BGC_FP32_Versor* combination, const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, const BGC_FP32_Versor* third);
-extern inline void bgc_fp64_versor_combine3(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, const BGC_FP64_Versor* third, BGC_FP64_Versor* result);
+extern inline void bgc_fp64_versor_combine3(BGC_FP64_Versor* combination, const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, const BGC_FP64_Versor* third);
 
-extern inline void bgc_fp32_versor_exclude(const BGC_FP32_Versor* base, const BGC_FP32_Versor* excludant, BGC_FP32_Versor* difference);
+extern inline void bgc_fp32_versor_exclude(BGC_FP32_Versor* difference, const BGC_FP32_Versor* base, const BGC_FP32_Versor* excludant);
-extern inline void bgc_fp64_versor_exclude(const BGC_FP64_Versor* base, const BGC_FP64_Versor* excludant, BGC_FP64_Versor* difference);
+extern inline void bgc_fp64_versor_exclude(BGC_FP64_Versor* difference, const BGC_FP64_Versor* base, const BGC_FP64_Versor* excludant);
 
-extern inline void bgc_fp32_versor_get_rotation_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix);
+extern inline void bgc_fp32_versor_get_rotation_matrix(BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_rotation_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix);
+extern inline void bgc_fp64_versor_get_rotation_matrix(BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_get_reverse_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix);
+extern inline void bgc_fp32_versor_get_reverse_matrix(BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_reverse_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix);
+extern inline void bgc_fp64_versor_get_reverse_matrix(BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_get_both_matrices(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse);
+extern inline void bgc_fp32_versor_get_both_matrices(BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Versor* versor);
-extern inline void bgc_fp64_versor_get_both_matrices(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse);
+extern inline void bgc_fp64_versor_get_both_matrices(BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Versor* versor);
 
-extern inline void bgc_fp32_versor_turn_vector(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_versor_turn_vector(BGC_FP32_Vector3* turned_vector, const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector);
-extern inline void bgc_fp64_versor_turn_vector(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_versor_turn_vector(BGC_FP64_Vector3* turned_vector, const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector);
 
-extern inline void bgc_fp32_versor_turn_vector_back(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result);
+extern inline void bgc_fp32_versor_turn_vector_back(BGC_FP32_Vector3* turned_vector, const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector);
-extern inline void bgc_fp64_versor_turn_vector_back(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result);
+extern inline void bgc_fp64_versor_turn_vector_back(BGC_FP64_Vector3* turned_vector, const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector);
 
 extern inline int bgc_fp32_versor_are_close(const BGC_FP32_Versor* versor1, const BGC_FP32_Versor* versor2);
 extern inline int bgc_fp64_versor_are_close(const BGC_FP64_Versor* versor1, const BGC_FP64_Versor* versor2);
@@ -117,12 +117,12 @@ void _bgc_fp64_versor_normalize(BGC_FP64_Versor* versor)
 
 // ================== Set Turn ================== //
 
-void bgc_fp32_versor_make_for_turn(const float x1, const float x2, const float x3, const float angle, const int unit, BGC_FP32_Versor* result)
+void bgc_fp32_versor_make_for_turn(BGC_FP32_Versor* versor, const float x1, const float x2, const float x3, const float angle, const int unit)
 {
     const float square_vector = x1 * x1 + x2 * x2 + x3 * x3;
 
     if (square_vector <= BGC_FP32_SQUARE_EPSYLON) {
-        bgc_fp32_versor_reset(result);
+        bgc_fp32_versor_reset(versor);
         return;
     }
 
@@ -131,21 +131,21 @@ void bgc_fp32_versor_make_for_turn(const float x1, const float x2, const float x
     const float sine = sinf(half_angle);
 
     if (bgc_fp32_is_zero(sine)) {
-        bgc_fp32_versor_reset(result);
+        bgc_fp32_versor_reset(versor);
         return;
     }
 
     const float multiplier = sine / sqrtf(square_vector);
 
-    bgc_fp32_versor_make(cosf(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
+    bgc_fp32_versor_make(versor, cosf(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier);
 }
 
-void bgc_fp64_versor_make_for_turn(const double x1, const double x2, const double x3, const double angle, const int unit, BGC_FP64_Versor* result)
+void bgc_fp64_versor_make_for_turn(BGC_FP64_Versor* versor, const double x1, const double x2, const double x3, const double angle, const int unit)
 {
     const double square_vector = x1 * x1 + x2 * x2 + x3 * x3;
 
     if (square_vector <= BGC_FP64_SQUARE_EPSYLON) {
-        bgc_fp64_versor_reset(result);
+        bgc_fp64_versor_reset(versor);
         return;
     }
 
@@ -154,22 +154,22 @@ void bgc_fp64_versor_make_for_turn(const double x1, const double x2, const doubl
     const double sine = sin(half_angle);
 
     if (bgc_fp64_is_zero(sine)) {
-        bgc_fp64_versor_reset(result);
+        bgc_fp64_versor_reset(versor);
         return;
     }
 
     const double multiplier = sine / sqrt(square_vector);
 
-    bgc_fp64_versor_make(cos(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier, result);
+    bgc_fp64_versor_make(versor, cos(half_angle), x1 * multiplier, x2 * multiplier, x3 * multiplier);
 }
 
 // ========= Make Direction Difference ========== //
 
-static int _bgc_fp32_versor_make_direction_turn(const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, const float square_modulus_product, BGC_FP32_Versor* result)
+static int _bgc_fp32_versor_make_direction_turn(BGC_FP32_Versor* versor, const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, const float square_modulus_product)
 {
     BGC_FP32_Vector3 orthogonal_axis;
 
-    bgc_fp32_vector3_get_cross_product(start, end, &orthogonal_axis);
+    bgc_fp32_vector3_get_cross_product(&orthogonal_axis, start, end);
 
     const float scalar_product = bgc_fp32_vector3_get_dot_product(start, end);
     const float square_modulus = bgc_fp32_vector3_get_square_modulus(&orthogonal_axis);
@@ -181,7 +181,7 @@ static int _bgc_fp32_versor_make_direction_turn(const BGC_FP32_Vector3* start, c
 
         const float multiplier = sinf(angle) * sqrtf(1.0f / square_modulus);
 
-        bgc_fp32_versor_make(cosf(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier, result);
+        bgc_fp32_versor_make(versor, cosf(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier);
         return BGC_SOME_TURN;
     }
 
@@ -189,15 +189,15 @@ static int _bgc_fp32_versor_make_direction_turn(const BGC_FP32_Vector3* start, c
         return BGC_OPPOSITE;
     }
 
-    bgc_fp32_versor_reset(result);
+    bgc_fp32_versor_reset(versor);
     return BGC_ZERO_TURN;
 }
 
-static int _bgc_fp64_versor_make_direction_turn(const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end, const double square_modulus_product, BGC_FP64_Versor* result)
+static int _bgc_fp64_versor_make_direction_turn(BGC_FP64_Versor* versor, const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end, const double square_modulus_product)
 {
     BGC_FP64_Vector3 orthogonal_axis;
 
-    bgc_fp64_vector3_get_cross_product(start, end, &orthogonal_axis);
+    bgc_fp64_vector3_get_cross_product(&orthogonal_axis, start, end);
 
     const double scalar_product = bgc_fp64_vector3_get_dot_product(start, end);
     const double square_modulus = bgc_fp64_vector3_get_square_modulus(&orthogonal_axis);
@@ -209,7 +209,7 @@ static int _bgc_fp64_versor_make_direction_turn(const BGC_FP64_Vector3* start, c
 
         const double multiplier = sin(angle) * sqrt(1.0f / square_modulus);
 
-        bgc_fp64_versor_make(cos(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier, result);
+        bgc_fp64_versor_make(versor, cos(angle), orthogonal_axis.x1 * multiplier, orthogonal_axis.x2 * multiplier, orthogonal_axis.x3 * multiplier);
         return BGC_SOME_TURN;
     }
 
@@ -217,34 +217,34 @@ static int _bgc_fp64_versor_make_direction_turn(const BGC_FP64_Vector3* start, c
         return BGC_OPPOSITE;
     }
 
-    bgc_fp64_versor_reset(result);
+    bgc_fp64_versor_reset(versor);
     return BGC_ZERO_TURN;
 }
 
-int bgc_fp32_versor_make_direction_difference(const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, BGC_FP32_Versor* result)
+int bgc_fp32_versor_make_direction_difference(BGC_FP32_Versor* versor, const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end)
 {
     const float start_square_modulus = bgc_fp32_vector3_get_square_modulus(start);
     const float end_square_modulus = bgc_fp32_vector3_get_square_modulus(end);
 
     if (start_square_modulus <= BGC_FP32_SQUARE_EPSYLON || end_square_modulus <= BGC_FP32_SQUARE_EPSYLON) {
-        bgc_fp32_versor_reset(result);
+        bgc_fp32_versor_reset(versor);
         return BGC_ZERO_TURN;
     }
 
-    return _bgc_fp32_versor_make_direction_turn(start, end, start_square_modulus * end_square_modulus, result);
+    return _bgc_fp32_versor_make_direction_turn(versor, start, end, start_square_modulus * end_square_modulus);
 }
 
-int bgc_fp64_versor_make_direction_difference(const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end, BGC_FP64_Versor* result)
+int bgc_fp64_versor_make_direction_difference(BGC_FP64_Versor* versor, const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end)
 {
     const double start_square_modulus = bgc_fp64_vector3_get_square_modulus(start);
     const double end_square_modulus = bgc_fp64_vector3_get_square_modulus(end);
 
     if (start_square_modulus <= BGC_FP64_SQUARE_EPSYLON || end_square_modulus <= BGC_FP64_SQUARE_EPSYLON) {
-        bgc_fp64_versor_reset(result);
+        bgc_fp64_versor_reset(versor);
         return BGC_ZERO_TURN;
     }
 
-    return _bgc_fp64_versor_make_direction_turn(start, end, start_square_modulus * end_square_modulus, result);
+    return _bgc_fp64_versor_make_direction_turn(versor, start, end, start_square_modulus * end_square_modulus);
 }
 
 // =============== Set Directions =============== //
@@ -290,17 +290,17 @@ static int _bgc_fp64_versor_validate_basis(const double primary_square_modulus,
 }
 
 int bgc_fp32_versor_make_basis_difference(
+    BGC_FP32_Versor* versor,
     const BGC_FP32_Vector3* initial_primary_direction,
     const BGC_FP32_Vector3* initial_auxiliary_direction,
     const BGC_FP32_Vector3* final_primary_direction,
-    const BGC_FP32_Vector3* final_auxiliary_direction,
+    const BGC_FP32_Vector3* final_auxiliary_direction
-    BGC_FP32_Versor* result
 )
 {
     BGC_FP32_Vector3 initial_orthogonal_direction, turned_orthogonal_direction, final_orthogonal_direction;
 
     // Step 1: Validate initial basis:
-    bgc_fp32_vector3_get_cross_product(initial_primary_direction, initial_auxiliary_direction, &initial_orthogonal_direction);
+    bgc_fp32_vector3_get_cross_product(&initial_orthogonal_direction, initial_primary_direction, initial_auxiliary_direction);
 
     const float initial_primary_square_modulus = bgc_fp32_vector3_get_square_modulus(initial_primary_direction);
     const float initial_auxiliary_square_modulus = bgc_fp32_vector3_get_square_modulus(initial_auxiliary_direction);
@@ -313,7 +313,7 @@ int bgc_fp32_versor_make_basis_difference(
     }
 
     // Step 1: Validate final basis:
-    bgc_fp32_vector3_get_cross_product(final_primary_direction, final_auxiliary_direction, &final_orthogonal_direction);
+    bgc_fp32_vector3_get_cross_product(&final_orthogonal_direction, final_primary_direction, final_auxiliary_direction);
 
     const float final_primary_square_modulus = bgc_fp32_vector3_get_square_modulus(final_primary_direction);
     const float final_auxiliary_square_modulus = bgc_fp32_vector3_get_square_modulus(final_auxiliary_direction);
@@ -326,52 +326,52 @@ int bgc_fp32_versor_make_basis_difference(
     }
 
     // Step 3: Validate normalize orthogonal vectors:
-    bgc_fp32_vector3_divide(&initial_orthogonal_direction, sqrtf(initial_orthogonal_square_modulus), &initial_orthogonal_direction);
+    bgc_fp32_vector3_divide(&initial_orthogonal_direction, &initial_orthogonal_direction, sqrtf(initial_orthogonal_square_modulus));
-    bgc_fp32_vector3_divide(&final_orthogonal_direction, sqrtf(final_orthogonal_square_modulus), &final_orthogonal_direction);
+    bgc_fp32_vector3_divide(&final_orthogonal_direction, &final_orthogonal_direction, sqrtf(final_orthogonal_square_modulus));
 
     BGC_FP32_Versor turn1, turn2;
 
     // Step 4: Find turn1
-    int turn1_code = _bgc_fp32_versor_make_direction_turn(initial_primary_direction, final_primary_direction, initial_primary_square_modulus * final_primary_square_modulus, &turn1);
+    int turn1_code = _bgc_fp32_versor_make_direction_turn(&turn1, initial_primary_direction, final_primary_direction, initial_primary_square_modulus * final_primary_square_modulus);
 
     if (turn1_code == BGC_OPPOSITE) {
-        bgc_fp32_versor_make(0.0f, initial_orthogonal_direction.x1, initial_orthogonal_direction.x2, initial_orthogonal_direction.x3, &turn1);
+        bgc_fp32_versor_make(&turn1, 0.0f, initial_orthogonal_direction.x1, initial_orthogonal_direction.x2, initial_orthogonal_direction.x3);
     }
 
-    bgc_fp32_versor_turn_vector(&turn1, &initial_orthogonal_direction, &turned_orthogonal_direction);
+    bgc_fp32_versor_turn_vector(&turned_orthogonal_direction, &turn1, &initial_orthogonal_direction);
 
     // Step 5: Find turn2:
-    int turn2_code = _bgc_fp32_versor_make_direction_turn(&turned_orthogonal_direction, &final_orthogonal_direction, 1.0f, &turn2);
+    int turn2_code = _bgc_fp32_versor_make_direction_turn(&turn2, &turned_orthogonal_direction, &final_orthogonal_direction, 1.0f);
 
     if (turn2_code == BGC_OPPOSITE) {
         const float turn2_multiplier = sqrtf(1.0f / final_primary_square_modulus);
 
-        bgc_fp32_versor_make(0.0f,
+        bgc_fp32_versor_make(&turn2,
+            0.0f,
             final_primary_direction->x1 * turn2_multiplier,
             final_primary_direction->x2 * turn2_multiplier,
-            final_primary_direction->x3 * turn2_multiplier,
+            final_primary_direction->x3 * turn2_multiplier
-            &turn2
         );
     }
 
     // Step 6: Combine turn1 and turn2:
-    bgc_fp32_versor_combine(&turn1, &turn2, result);
+    bgc_fp32_versor_combine(versor, &turn1, &turn2);
 
     return BGC_SUCCESS;
 }
 
 int bgc_fp64_versor_make_basis_difference(
+    BGC_FP64_Versor* versor,
     const BGC_FP64_Vector3* initial_primary_direction,
     const BGC_FP64_Vector3* initial_auxiliary_direction,
     const BGC_FP64_Vector3* final_primary_direction,
-    const BGC_FP64_Vector3* final_auxiliary_direction,
+    const BGC_FP64_Vector3* final_auxiliary_direction
-    BGC_FP64_Versor* result
 )
 {
     BGC_FP64_Vector3 initial_orthogonal_direction, turned_orthogonal_direction, final_orthogonal_direction;
 
     // Step 1: Validate initial basis:
-    bgc_fp64_vector3_get_cross_product(initial_primary_direction, initial_auxiliary_direction, &initial_orthogonal_direction);
+    bgc_fp64_vector3_get_cross_product(&initial_orthogonal_direction, initial_primary_direction, initial_auxiliary_direction);
 
     const double initial_primary_square_modulus = bgc_fp64_vector3_get_square_modulus(initial_primary_direction);
     const double initial_auxiliary_square_modulus = bgc_fp64_vector3_get_square_modulus(initial_auxiliary_direction);
@@ -384,7 +384,7 @@ int bgc_fp64_versor_make_basis_difference(
     }
 
     // Step 1: Validate final basis:
-    bgc_fp64_vector3_get_cross_product(final_primary_direction, final_auxiliary_direction, &final_orthogonal_direction);
+    bgc_fp64_vector3_get_cross_product(&final_orthogonal_direction, final_primary_direction, final_auxiliary_direction);
 
     const double final_primary_square_modulus = bgc_fp64_vector3_get_square_modulus(final_primary_direction);
     const double final_auxiliary_square_modulus = bgc_fp64_vector3_get_square_modulus(final_auxiliary_direction);
@@ -397,43 +397,43 @@ int bgc_fp64_versor_make_basis_difference(
     }
 
     // Step 3: Validate normalize orthogonal vectors:
-    bgc_fp64_vector3_divide(&initial_orthogonal_direction, sqrt(initial_orthogonal_square_modulus), &initial_orthogonal_direction);
+    bgc_fp64_vector3_divide(&initial_orthogonal_direction, &initial_orthogonal_direction, sqrt(initial_orthogonal_square_modulus));
-    bgc_fp64_vector3_divide(&final_orthogonal_direction, sqrt(final_orthogonal_square_modulus), &final_orthogonal_direction);
+    bgc_fp64_vector3_divide(&final_orthogonal_direction, &final_orthogonal_direction, sqrt(final_orthogonal_square_modulus));
 
     BGC_FP64_Versor turn1, turn2;
 
     // Step 4: Find turn1
-    int turn1_code = _bgc_fp64_versor_make_direction_turn(initial_primary_direction, final_primary_direction, initial_primary_square_modulus * final_primary_square_modulus, &turn1);
+    int turn1_code = _bgc_fp64_versor_make_direction_turn(&turn1, initial_primary_direction, final_primary_direction, initial_primary_square_modulus * final_primary_square_modulus);
 
     if (turn1_code == BGC_OPPOSITE) {
-        bgc_fp64_versor_make(0.0, initial_orthogonal_direction.x1, initial_orthogonal_direction.x2, initial_orthogonal_direction.x3, &turn1);
+        bgc_fp64_versor_make(&turn1, 0.0, initial_orthogonal_direction.x1, initial_orthogonal_direction.x2, initial_orthogonal_direction.x3);
     }
 
-    bgc_fp64_versor_turn_vector(&turn1, &initial_orthogonal_direction, &turned_orthogonal_direction);
+    bgc_fp64_versor_turn_vector(&turned_orthogonal_direction, &turn1, &initial_orthogonal_direction);
 
     // Step 5: Find turn2:
-    int turn2_code = _bgc_fp64_versor_make_direction_turn(&turned_orthogonal_direction, &final_orthogonal_direction, 1.0f, &turn2);
+    int turn2_code = _bgc_fp64_versor_make_direction_turn(&turn2, &turned_orthogonal_direction, &final_orthogonal_direction, 1.0f);
 
     if (turn2_code == BGC_OPPOSITE) {
         const double turn2_multiplier = sqrt(1.0 / final_primary_square_modulus);
 
-        bgc_fp64_versor_make(0.0,
+        bgc_fp64_versor_make(&turn2,
+            0.0,
             final_primary_direction->x1 * turn2_multiplier,
             final_primary_direction->x2 * turn2_multiplier,
-            final_primary_direction->x3 * turn2_multiplier,
+            final_primary_direction->x3 * turn2_multiplier
-            &turn2
         );
     }
 
     // Step 6: Combine turn1 and turn2:
-    bgc_fp64_versor_combine(&turn1, &turn2, result);
+    bgc_fp64_versor_combine(versor, &turn1, &turn2);
 
     return BGC_SUCCESS;
 }
 
 // =============== Get Exponation =============== //
 
-void bgc_fp32_versor_get_exponation(const BGC_FP32_Versor* base, const float exponent, BGC_FP32_Versor* power)
+void bgc_fp32_versor_get_exponation(BGC_FP32_Versor* power, const BGC_FP32_Versor* base, const float exponent)
 {
     const float square_vector = base->_x1 * base->_x1 + base->_x2 * base->_x2 + base->_x3 * base->_x3;
 
@@ -448,10 +448,10 @@ void bgc_fp32_versor_get_exponation(const BGC_FP32_Versor* base, const float exp
 
     const float multiplier = sinf(angle) / vector_modulus;
 
-    bgc_fp32_versor_make(cosf(angle), base->_x1 * multiplier, base->_x2 * multiplier, base->_x3 * multiplier, power);
+    bgc_fp32_versor_make(power, cosf(angle), base->_x1 * multiplier, base->_x2 * multiplier, base->_x3 * multiplier);
 }
 
-void bgc_fp64_versor_get_exponation(const BGC_FP64_Versor* base, const double exponent, BGC_FP64_Versor* power)
+void bgc_fp64_versor_get_exponation(BGC_FP64_Versor* power, const BGC_FP64_Versor* base, const double exponent)
 {
     const double square_vector = base->_x1 * base->_x1 + base->_x2 * base->_x2 + base->_x3 * base->_x3;
 
@@ -466,12 +466,12 @@ void bgc_fp64_versor_get_exponation(const BGC_FP64_Versor* base, const double ex
 
     const double multiplier = sin(angle) / vector_modulus;
 
-    bgc_fp64_versor_make(cos(angle), base->_x1 * multiplier, base->_x2 * multiplier, base->_x3 * multiplier, power);
+    bgc_fp64_versor_make(power, cos(angle), base->_x1 * multiplier, base->_x2 * multiplier, base->_x3 * multiplier);
 }
 
 // ============ Sphere Interpolation ============ //
 
-void bgc_fp32_versor_spherically_interpolate(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, const float phase, BGC_FP32_Versor* result)
+void bgc_fp32_versor_spherically_interpolate(BGC_FP32_Versor* interpolation, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, const float phase)
 {
     const float delta_s0 = (end->_s0 * start->_s0 + end->_x1 * start->_x1) + (end->_x2 * start->_x2 + end->_x3 * start->_x3);
     const float delta_x1 = (end->_x1 * start->_s0 + end->_x3 * start->_x2) - (end->_s0 * start->_x1 + end->_x2 * start->_x3);
@@ -481,8 +481,8 @@ void bgc_fp32_versor_spherically_interpolate(const BGC_FP32_Versor* start, const
     const float square_vector = delta_x1 * delta_x1 + delta_x2 * delta_x2 + delta_x3 * delta_x3;
 
     // square_vector != square_vector means checking for NaN value at square_vector
-    if (square_vector <= BGC_FP32_SQUARE_EPSYLON || square_vector != square_vector) {
+    if (square_vector <= BGC_FP32_SQUARE_EPSYLON || isnan(square_vector)) {
-        bgc_fp32_versor_copy(end, result);
+        bgc_fp32_versor_copy(interpolation, end);
         return;
     }
 
@@ -498,15 +498,15 @@ void bgc_fp32_versor_spherically_interpolate(const BGC_FP32_Versor* start, const
 
     // Combining of starting orientation with the turning
     bgc_fp32_versor_make(
+        interpolation,
         (turn_s0 * start->_s0 - turn_x1 * start->_x1) - (turn_x2 * start->_x2 + turn_x3 * start->_x3),
         (turn_x1 * start->_s0 + turn_s0 * start->_x1) - (turn_x3 * start->_x2 - turn_x2 * start->_x3),
         (turn_x2 * start->_s0 + turn_s0 * start->_x2) - (turn_x1 * start->_x3 - turn_x3 * start->_x1),
-        (turn_x3 * start->_s0 + turn_s0 * start->_x3) - (turn_x2 * start->_x1 - turn_x1 * start->_x2),
+        (turn_x3 * start->_s0 + turn_s0 * start->_x3) - (turn_x2 * start->_x1 - turn_x1 * start->_x2)
-        result
     );
 }
 
-void bgc_fp64_versor_spherically_interpolate(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, const double phase, BGC_FP64_Versor* result)
+void bgc_fp64_versor_spherically_interpolate(BGC_FP64_Versor* interpolation, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, const double phase)
 {
     const double delta_s0 = (end->_s0 * start->_s0 + end->_x1 * start->_x1) + (end->_x2 * start->_x2 + end->_x3 * start->_x3);
     const double delta_x1 = (end->_x1 * start->_s0 + end->_x3 * start->_x2) - (end->_s0 * start->_x1 + end->_x2 * start->_x3);
@@ -516,8 +516,8 @@ void bgc_fp64_versor_spherically_interpolate(const BGC_FP64_Versor* start, const
     const double square_vector = delta_x1 * delta_x1 + delta_x2 * delta_x2 + delta_x3 * delta_x3;
 
     // square_vector != square_vector means checking for NaN value at square_vector
-    if (square_vector <= BGC_FP64_SQUARE_EPSYLON || square_vector != square_vector) {
+    if (square_vector <= BGC_FP64_SQUARE_EPSYLON || isnan(square_vector)) {
-        bgc_fp64_versor_copy(end, result);
+        bgc_fp64_versor_copy(interpolation, end);
         return;
     }
 
@@ -533,22 +533,22 @@ void bgc_fp64_versor_spherically_interpolate(const BGC_FP64_Versor* start, const
 
     // Combining of starting orientation with the turning
     bgc_fp64_versor_make(
+        interpolation,
         (turn_s0 * start->_s0 - turn_x1 * start->_x1) - (turn_x2 * start->_x2 + turn_x3 * start->_x3),
         (turn_x1 * start->_s0 + turn_s0 * start->_x1) - (turn_x3 * start->_x2 - turn_x2 * start->_x3),
         (turn_x2 * start->_s0 + turn_s0 * start->_x2) - (turn_x1 * start->_x3 - turn_x3 * start->_x1),
-        (turn_x3 * start->_s0 + turn_s0 * start->_x3) - (turn_x2 * start->_x1 - turn_x1 * start->_x2),
+        (turn_x3 * start->_s0 + turn_s0 * start->_x3) - (turn_x2 * start->_x1 - turn_x1 * start->_x2)
-        result
     );
 }
 
 // ================ Get Rotation ================ //
 
-void bgc_fp32_versor_get_rotation(const BGC_FP32_Versor* versor, BGC_FP32_Rotation3* result)
+void bgc_fp32_versor_get_rotation(BGC_FP32_Rotation3* rotation, const BGC_FP32_Versor* versor)
 {
     const float square_modulus = versor->_x1 * versor->_x1 + versor->_x2 * versor->_x2 + versor->_x3 * versor->_x3;
 
     if (square_modulus <= BGC_FP32_SQUARE_EPSYLON) {
-        bgc_fp32_rotation3_reset(result);
+        bgc_fp32_rotation3_reset(rotation);
         return;
     }
 
@@ -556,19 +556,19 @@ void bgc_fp32_versor_get_rotation(const BGC_FP32_Versor* versor, BGC_FP32_Rotati
 
     const float multiplier = 1.0f / vector_modulus;
 
-    result->radians = 2.0f * atan2f(vector_modulus, versor->_s0);
+    rotation->radians = 2.0f * atan2f(vector_modulus, versor->_s0);
 
-    result->axis.x1 = versor->_x1 * multiplier;
+    rotation->axis.x1 = versor->_x1 * multiplier;
-    result->axis.x2 = versor->_x2 * multiplier;
+    rotation->axis.x2 = versor->_x2 * multiplier;
-    result->axis.x3 = versor->_x3 * multiplier;
+    rotation->axis.x3 = versor->_x3 * multiplier;
 }
 
-void bgc_fp64_versor_get_rotation(const BGC_FP64_Versor* versor, BGC_FP64_Rotation3* result)
+void bgc_fp64_versor_get_rotation(BGC_FP64_Rotation3* rotation, const BGC_FP64_Versor* versor)
 {
     const double square_modulus = versor->_x1 * versor->_x1 + versor->_x2 * versor->_x2 + versor->_x3 * versor->_x3;
 
     if (square_modulus <= BGC_FP64_SQUARE_EPSYLON) {
-        bgc_fp64_rotation3_reset(result);
+        bgc_fp64_rotation3_reset(rotation);
         return;
     }
 
@@ -576,9 +576,9 @@ void bgc_fp64_versor_get_rotation(const BGC_FP64_Versor* versor, BGC_FP64_Rotati
 
     const double multiplier = 1.0 / vector_modulus;
 
-    result->radians = 2.0 * atan2(vector_modulus, versor->_s0);
+    rotation->radians = 2.0 * atan2(vector_modulus, versor->_s0);
 
-    result->axis.x1 = versor->_x1 * multiplier;
+    rotation->axis.x1 = versor->_x1 * multiplier;
-    result->axis.x2 = versor->_x2 * multiplier;
+    rotation->axis.x2 = versor->_x2 * multiplier;
-    result->axis.x3 = versor->_x3 * multiplier;
+    rotation->axis.x3 = versor->_x3 * multiplier;
 }

basic-geometry/versor.h

@@ -62,7 +62,7 @@ void _bgc_fp32_versor_normalize(BGC_FP32_Versor* twin);
 
 void _bgc_fp64_versor_normalize(BGC_FP64_Versor* twin);
 
-inline void bgc_fp32_versor_make(const float s0, const float x1, const float x2, const float x3, BGC_FP32_Versor* versor)
+inline void bgc_fp32_versor_make(BGC_FP32_Versor* versor, const float s0, const float x1, const float x2, const float x3)
 {
     versor->_s0 = s0;
     versor->_x1 = x1;
@@ -76,7 +76,7 @@ inline void bgc_fp32_versor_make(const float s0, const float x1, const float x2,
     }
 }
 
-inline void bgc_fp64_versor_make(const double s0, const double x1, const double x2, const double x3, BGC_FP64_Versor* versor)
+inline void bgc_fp64_versor_make(BGC_FP64_Versor* versor, const double s0, const double x1, const double x2, const double x3)
 {
     versor->_s0 = s0;
     versor->_x1 = x1;
@@ -92,49 +92,49 @@ inline void bgc_fp64_versor_make(const double s0, const double x1, const double
 
 // ================== Set Turn ================== //
 
-void bgc_fp32_versor_make_for_turn(const float x1, const float x2, const float x3, const float angle, const int unit, BGC_FP32_Versor* result);
+void bgc_fp32_versor_make_for_turn(BGC_FP32_Versor* versor, const float x1, const float x2, const float x3, const float angle, const int unit);
 
-void bgc_fp64_versor_make_for_turn(const double x1, const double x2, const double x3, const double angle, const int unit, BGC_FP64_Versor* result);
+void bgc_fp64_versor_make_for_turn(BGC_FP64_Versor* versor, const double x1, const double x2, const double x3, const double angle, const int unit);
 
 // ================ Set Rotation ================ //
 
-inline void bgc_fp32_versor_make_for_rotation(const BGC_FP32_Rotation3* rotation, BGC_FP32_Versor* result)
+inline void bgc_fp32_versor_make_for_rotation(BGC_FP32_Versor* versor, const BGC_FP32_Rotation3* rotation)
 {
-    bgc_fp32_versor_make_for_turn(rotation->axis.x1, rotation->axis.x2, rotation->axis.x3, rotation->radians, BGC_ANGLE_UNIT_RADIANS, result);
+    bgc_fp32_versor_make_for_turn(versor, rotation->axis.x1, rotation->axis.x2, rotation->axis.x3, rotation->radians, BGC_ANGLE_UNIT_RADIANS);
 }
 
-inline void bgc_fp64_versor_make_for_rotation(const BGC_FP64_Rotation3* rotation, BGC_FP64_Versor* result)
+inline void bgc_fp64_versor_make_for_rotation(BGC_FP64_Versor* versor, const BGC_FP64_Rotation3* rotation)
 {
-    bgc_fp64_versor_make_for_turn(rotation->axis.x1, rotation->axis.x2, rotation->axis.x3, rotation->radians, BGC_ANGLE_UNIT_RADIANS, result);
+    bgc_fp64_versor_make_for_turn(versor, rotation->axis.x1, rotation->axis.x2, rotation->axis.x3, rotation->radians, BGC_ANGLE_UNIT_RADIANS);
 }
 
 // ========= Make Direction Difference ========== //
 
-int bgc_fp32_versor_make_direction_difference(const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end, BGC_FP32_Versor* result);
+int bgc_fp32_versor_make_direction_difference(BGC_FP32_Versor* difference, const BGC_FP32_Vector3* start, const BGC_FP32_Vector3* end);
 
-int bgc_fp64_versor_make_direction_difference(const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end, BGC_FP64_Versor* result);
+int bgc_fp64_versor_make_direction_difference(BGC_FP64_Versor* difference, const BGC_FP64_Vector3* start, const BGC_FP64_Vector3* end);
 
 // =============== Set Directions =============== //
 
 int bgc_fp32_versor_make_basis_difference(
+    BGC_FP32_Versor* versor,
     const BGC_FP32_Vector3* initial_primary_direction,
     const BGC_FP32_Vector3* initial_auxiliary_direction,
     const BGC_FP32_Vector3* final_primary_direction,
-    const BGC_FP32_Vector3* final_auxiliary_direction,
+    const BGC_FP32_Vector3* final_auxiliary_direction
-    BGC_FP32_Versor* result
 );
 
 int bgc_fp64_versor_make_basis_difference(
+    BGC_FP64_Versor* versor,
     const BGC_FP64_Vector3* initial_primary_direction,
     const BGC_FP64_Vector3* initial_auxiliary_direction,
     const BGC_FP64_Vector3* final_primary_direction,
-    const BGC_FP64_Vector3* final_auxiliary_direction,
+    const BGC_FP64_Vector3* final_auxiliary_direction
-    BGC_FP64_Versor* result
 );
 
 // ==================== Copy ==================== //
 
-inline void bgc_fp32_versor_copy(const BGC_FP32_Versor* source, BGC_FP32_Versor* destination)
+inline void bgc_fp32_versor_copy(BGC_FP32_Versor* destination, const BGC_FP32_Versor* source)
 {
     destination->_s0 = source->_s0;
     destination->_x1 = source->_x1;
@@ -142,7 +142,7 @@ inline void bgc_fp32_versor_copy(const BGC_FP32_Versor* source, BGC_FP32_Versor*
     destination->_x3 = source->_x3;
 }
 
-inline void bgc_fp64_versor_copy(const BGC_FP64_Versor* source, BGC_FP64_Versor* destination)
+inline void bgc_fp64_versor_copy(BGC_FP64_Versor* destination, const BGC_FP64_Versor* source)
 {
     destination->_s0 = source->_s0;
     destination->_x1 = source->_x1;
@@ -202,25 +202,25 @@ inline int bgc_fp64_versor_is_idle(const BGC_FP64_Versor* versor)
 
 // ================== Convert =================== //
 
-inline void bgc_fp64_versor_convert_to_fp32(const BGC_FP64_Versor* source, BGC_FP32_Versor* destination)
+inline void bgc_fp32_versor_convert_to_fp64(BGC_FP64_Versor* destination, const BGC_FP32_Versor* source)
-{
-    bgc_fp32_versor_make(
-        (float)source->_s0,
-        (float)source->_x1,
-        (float)source->_x2,
-        (float)source->_x3,
-        destination
-    );
-}
-
-inline void bgc_fp32_versor_convert_to_fp64(const BGC_FP32_Versor* source, BGC_FP64_Versor* destination)
 {
     bgc_fp64_versor_make(
+        destination,
         source->_s0,
         source->_x1,
         source->_x2,
-        source->_x3,
+        source->_x3
-        destination
+    );
+}
+
+inline void bgc_fp64_versor_convert_to_fp32(BGC_FP32_Versor* destination, const BGC_FP64_Versor* source)
+{
+    bgc_fp32_versor_make(
+        destination,
+        (float)source->_s0,
+        (float)source->_x1,
+        (float)source->_x2,
+        (float)source->_x3
     );
 }
 
@@ -246,7 +246,7 @@ inline void bgc_fp64_versor_shorten(BGC_FP64_Versor* versor)
     }
 }
 
-inline void bgc_fp32_versor_get_shortened(const BGC_FP32_Versor* versor, BGC_FP32_Versor* shortened)
+inline void bgc_fp32_versor_get_shortened(BGC_FP32_Versor* shortened, const BGC_FP32_Versor* versor)
 {
     if (versor->_s0 >= 0.0f) {
         shortened->_s0 = versor->_s0;
@@ -262,7 +262,7 @@ inline void bgc_fp32_versor_get_shortened(const BGC_FP32_Versor* versor, BGC_FP3
     shortened->_x3 = -versor->_x3;
 }
 
-inline void bgc_fp64_versor_get_shortened(const BGC_FP64_Versor* versor, BGC_FP64_Versor* shortened)
+inline void bgc_fp64_versor_get_shortened(BGC_FP64_Versor* shortened, const BGC_FP64_Versor* versor)
 {
     if (versor->_s0 >= 0.0) {
         shortened->_s0 = versor->_s0;
@@ -296,20 +296,20 @@ inline void bgc_fp64_versor_alternate(BGC_FP64_Versor* versor)
     versor->_x3 = -versor->_x3;
 }
 
-inline void bgc_fp32_versor_get_alternative(const BGC_FP32_Versor* versor, BGC_FP32_Versor* opposite)
+inline void bgc_fp32_versor_get_alternative(BGC_FP32_Versor* alternative, const BGC_FP32_Versor* versor)
 {
-    opposite->_s0 = -versor->_s0;
+    alternative->_s0 = -versor->_s0;
-    opposite->_x1 = -versor->_x1;
+    alternative->_x1 = -versor->_x1;
-    opposite->_x2 = -versor->_x2;
+    alternative->_x2 = -versor->_x2;
-    opposite->_x3 = -versor->_x3;
+    alternative->_x3 = -versor->_x3;
 }
 
-inline void bgc_fp64_versor_get_alternative(const BGC_FP64_Versor* versor, BGC_FP64_Versor* opposite)
+inline void bgc_fp64_versor_get_alternative(BGC_FP64_Versor* alternative, const BGC_FP64_Versor* versor)
 {
-    opposite->_s0 = -versor->_s0;
+    alternative->_s0 = -versor->_s0;
-    opposite->_x1 = -versor->_x1;
+    alternative->_x1 = -versor->_x1;
-    opposite->_x2 = -versor->_x2;
+    alternative->_x2 = -versor->_x2;
-    opposite->_x3 = -versor->_x3;
+    alternative->_x3 = -versor->_x3;
 }
 
 // =================== Invert =================== //
@@ -328,7 +328,7 @@ inline void bgc_fp64_versor_revert(BGC_FP64_Versor* versor)
     versor->_x3 = -versor->_x3;
 }
 
-inline void bgc_fp32_versor_get_reverse(const BGC_FP32_Versor* versor, BGC_FP32_Versor* inverse)
+inline void bgc_fp32_versor_get_reverse(BGC_FP32_Versor* inverse, const BGC_FP32_Versor* versor)
 {
     inverse->_s0 = versor->_s0;
     inverse->_x1 = -versor->_x1;
@@ -336,7 +336,7 @@ inline void bgc_fp32_versor_get_reverse(const BGC_FP32_Versor* versor, BGC_FP32_
     inverse->_x3 = -versor->_x3;
 }
 
-inline void bgc_fp64_versor_get_reverse(const BGC_FP64_Versor* versor, BGC_FP64_Versor* inverse)
+inline void bgc_fp64_versor_get_reverse(BGC_FP64_Versor* inverse, const BGC_FP64_Versor* versor)
 {
     inverse->_s0 = versor->_s0;
     inverse->_x1 = -versor->_x1;
@@ -346,37 +346,37 @@ inline void bgc_fp64_versor_get_reverse(const BGC_FP64_Versor* versor, BGC_FP64_
 
 // =============== Get Exponation =============== //
 
-void bgc_fp32_versor_get_exponation(const BGC_FP32_Versor* base, const float exponent, BGC_FP32_Versor* power);
+void bgc_fp32_versor_get_exponation(BGC_FP32_Versor* power, const BGC_FP32_Versor* base, const float exponent);
 
-void bgc_fp64_versor_get_exponation(const BGC_FP64_Versor* base, const double exponent, BGC_FP64_Versor* power);
+void bgc_fp64_versor_get_exponation(BGC_FP64_Versor* power, const BGC_FP64_Versor* base, const double exponent);
 
 // ================ Combination ================= //
 
-inline void bgc_fp32_versor_combine(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, BGC_FP32_Versor* result)
+inline void bgc_fp32_versor_combine(BGC_FP32_Versor* combination, const BGC_FP32_Versor* first, const BGC_FP32_Versor* second)
 {
     bgc_fp32_versor_make(
+        combination,
         (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3),
         (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3),
         (second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1),
-        (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2),
+        (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2)
-        result
     );
 }
 
-inline void bgc_fp64_versor_combine(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, BGC_FP64_Versor* result)
+inline void bgc_fp64_versor_combine(BGC_FP64_Versor* combination, const BGC_FP64_Versor* first, const BGC_FP64_Versor* second)
 {
     bgc_fp64_versor_make(
+        combination,
         (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3),
         (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3),
         (second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1),
-        (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2),
+        (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2)
-        result
     );
 }
 
 // ============ Combination of three ============ //
 
-inline void bgc_fp32_versor_combine3(const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, const BGC_FP32_Versor* third, BGC_FP32_Versor* result)
+inline void bgc_fp32_versor_combine3(BGC_FP32_Versor* combination, const BGC_FP32_Versor* first, const BGC_FP32_Versor* second, const BGC_FP32_Versor* third)
 {
     const float s0 = (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3);
     const float x1 = (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3);
@@ -384,15 +384,15 @@ inline void bgc_fp32_versor_combine3(const BGC_FP32_Versor* first, const BGC_FP3
     const float x3 = (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2);
 
     bgc_fp32_versor_make(
+        combination,
         (third->_s0 * s0 - third->_x1 * x1) - (third->_x2 * x2 + third->_x3 * x3),
         (third->_x1 * s0 + third->_s0 * x1) - (third->_x3 * x2 - third->_x2 * x3),
         (third->_x2 * s0 + third->_s0 * x2) - (third->_x1 * x3 - third->_x3 * x1),
-        (third->_x3 * s0 + third->_s0 * x3) - (third->_x2 * x1 - third->_x1 * x2),
+        (third->_x3 * s0 + third->_s0 * x3) - (third->_x2 * x1 - third->_x1 * x2)
-        result
     );
 }
 
-inline void bgc_fp64_versor_combine3(const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, const BGC_FP64_Versor* third, BGC_FP64_Versor* result)
+inline void bgc_fp64_versor_combine3(BGC_FP64_Versor* combination, const BGC_FP64_Versor* first, const BGC_FP64_Versor* second, const BGC_FP64_Versor* third)
 {
     const double s0 = (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3);
     const double x1 = (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3);
@@ -400,53 +400,53 @@ inline void bgc_fp64_versor_combine3(const BGC_FP64_Versor* first, const BGC_FP6
     const double x3 = (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2);
 
     bgc_fp64_versor_make(
+        combination,
         (third->_s0 * s0 - third->_x1 * x1) - (third->_x2 * x2 + third->_x3 * x3),
         (third->_x1 * s0 + third->_s0 * x1) - (third->_x3 * x2 - third->_x2 * x3),
         (third->_x2 * s0 + third->_s0 * x2) - (third->_x1 * x3 - third->_x3 * x1),
-        (third->_x3 * s0 + third->_s0 * x3) - (third->_x2 * x1 - third->_x1 * x2),
+        (third->_x3 * s0 + third->_s0 * x3) - (third->_x2 * x1 - third->_x1 * x2)
-        result
     );
 }
 
 // ================= Exclusion ================== //
 
-inline void bgc_fp32_versor_exclude(const BGC_FP32_Versor* base, const BGC_FP32_Versor* excludant, BGC_FP32_Versor* difference)
+inline void bgc_fp32_versor_exclude(BGC_FP32_Versor* difference, const BGC_FP32_Versor* base, const BGC_FP32_Versor* excludant)
 {
     bgc_fp32_versor_make(
+        difference,
         (base->_s0 * excludant->_s0 + base->_x1 * excludant->_x1) + (base->_x2 * excludant->_x2 + base->_x3 * excludant->_x3),
         (base->_x1 * excludant->_s0 + base->_x3 * excludant->_x2) - (base->_s0 * excludant->_x1 + base->_x2 * excludant->_x3),
         (base->_x2 * excludant->_s0 + base->_x1 * excludant->_x3) - (base->_s0 * excludant->_x2 + base->_x3 * excludant->_x1),
-        (base->_x3 * excludant->_s0 + base->_x2 * excludant->_x1) - (base->_s0 * excludant->_x3 + base->_x1 * excludant->_x2),
+        (base->_x3 * excludant->_s0 + base->_x2 * excludant->_x1) - (base->_s0 * excludant->_x3 + base->_x1 * excludant->_x2)
-        difference
     );
 }
 
-inline void bgc_fp64_versor_exclude(const BGC_FP64_Versor* base, const BGC_FP64_Versor* excludant, BGC_FP64_Versor* difference)
+inline void bgc_fp64_versor_exclude(BGC_FP64_Versor* difference, const BGC_FP64_Versor* base, const BGC_FP64_Versor* excludant)
 {
     bgc_fp64_versor_make(
+        difference,
         (base->_s0 * excludant->_s0 + base->_x1 * excludant->_x1) + (base->_x2 * excludant->_x2 + base->_x3 * excludant->_x3),
         (base->_x1 * excludant->_s0 + base->_x3 * excludant->_x2) - (base->_s0 * excludant->_x1 + base->_x2 * excludant->_x3),
         (base->_x2 * excludant->_s0 + base->_x1 * excludant->_x3) - (base->_s0 * excludant->_x2 + base->_x3 * excludant->_x1),
-        (base->_x3 * excludant->_s0 + base->_x2 * excludant->_x1) - (base->_s0 * excludant->_x3 + base->_x1 * excludant->_x2),
+        (base->_x3 * excludant->_s0 + base->_x2 * excludant->_x1) - (base->_s0 * excludant->_x3 + base->_x1 * excludant->_x2)
-        difference
     );
 }
 
 // ============ Sphere Interpolation ============ //
 
-void bgc_fp32_versor_spherically_interpolate(const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, const float phase, BGC_FP32_Versor* result);
+void bgc_fp32_versor_spherically_interpolate(BGC_FP32_Versor* interpolation, const BGC_FP32_Versor* start, const BGC_FP32_Versor* end, const float phase);
 
-void bgc_fp64_versor_spherically_interpolate(const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, const double phase, BGC_FP64_Versor* result);
+void bgc_fp64_versor_spherically_interpolate(BGC_FP64_Versor* interpolation, const BGC_FP64_Versor* start, const BGC_FP64_Versor* end, const double phase);
 
 // ================ Get Rotation ================ //
 
-void bgc_fp32_versor_get_rotation(const BGC_FP32_Versor* versor, BGC_FP32_Rotation3* result);
+void bgc_fp32_versor_get_rotation(BGC_FP32_Rotation3* rotation, const BGC_FP32_Versor* versor);
 
-void bgc_fp64_versor_get_rotation(const BGC_FP64_Versor* versor, BGC_FP64_Rotation3* result);
+void bgc_fp64_versor_get_rotation(BGC_FP64_Rotation3* rotation, const BGC_FP64_Versor* versor);
 
 // ============ Get Rotation Matrix ============= //
 
-inline void bgc_fp32_versor_get_rotation_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix)
+inline void bgc_fp32_versor_get_rotation_matrix(BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Versor* versor)
 {
     const float s0s0 = versor->_s0 * versor->_s0;
     const float x1x1 = versor->_x1 * versor->_x1;
@@ -473,7 +473,7 @@ inline void bgc_fp32_versor_get_rotation_matrix(const BGC_FP32_Versor* versor, B
     matrix->r1c3 = 2.0f * (x1x3 + s0x2);
 }
 
-inline void bgc_fp64_versor_get_rotation_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix)
+inline void bgc_fp64_versor_get_rotation_matrix(BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Versor* versor)
 {
     const double s0s0 = versor->_s0 * versor->_s0;
     const double x1x1 = versor->_x1 * versor->_x1;
@@ -502,7 +502,7 @@ inline void bgc_fp64_versor_get_rotation_matrix(const BGC_FP64_Versor* versor, B
 
 // ============= Get Reverse Matrix ============= //
 
-inline void bgc_fp32_versor_get_reverse_matrix(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* matrix)
+inline void bgc_fp32_versor_get_reverse_matrix(BGC_FP32_Matrix3x3* matrix, const BGC_FP32_Versor* versor)
 {
     const float s0s0 = versor->_s0 * versor->_s0;
     const float x1x1 = versor->_x1 * versor->_x1;
@@ -529,7 +529,7 @@ inline void bgc_fp32_versor_get_reverse_matrix(const BGC_FP32_Versor* versor, BG
     matrix->r1c3 = 2.0f * (x1x3 - s0x2);
 }
 
-inline void bgc_fp64_versor_get_reverse_matrix(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* matrix)
+inline void bgc_fp64_versor_get_reverse_matrix(BGC_FP64_Matrix3x3* matrix, const BGC_FP64_Versor* versor)
 {
     const double s0s0 = versor->_s0 * versor->_s0;
     const double x1x1 = versor->_x1 * versor->_x1;
@@ -558,21 +558,21 @@ inline void bgc_fp64_versor_get_reverse_matrix(const BGC_FP64_Versor* versor, BG
 
 // ============= Get Both Matrixes ============== //
 
-inline void bgc_fp32_versor_get_both_matrices(const BGC_FP32_Versor* versor, BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse)
+inline void bgc_fp32_versor_get_both_matrices(BGC_FP32_Matrix3x3* rotation, BGC_FP32_Matrix3x3* reverse, const BGC_FP32_Versor* versor)
 {
-    bgc_fp32_versor_get_reverse_matrix(versor, reverse);
+    bgc_fp32_versor_get_reverse_matrix(reverse, versor);
-    bgc_fp32_matrix3x3_get_transposed(reverse, rotation);
+    bgc_fp32_matrix3x3_get_transposed(rotation, reverse);
 }
 
-inline void bgc_fp64_versor_get_both_matrices(const BGC_FP64_Versor* versor, BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse)
+inline void bgc_fp64_versor_get_both_matrices(BGC_FP64_Matrix3x3* rotation, BGC_FP64_Matrix3x3* reverse, const BGC_FP64_Versor* versor)
 {
-    bgc_fp64_versor_get_reverse_matrix(versor, reverse);
+    bgc_fp64_versor_get_reverse_matrix(reverse, versor);
-    bgc_fp64_matrix3x3_get_transposed(reverse, rotation);
+    bgc_fp64_matrix3x3_get_transposed(rotation, reverse);
 }
 
 // ================ Turn Vector ================= //
 
-inline void bgc_fp32_versor_turn_vector(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result)
+inline void bgc_fp32_versor_turn_vector(BGC_FP32_Vector3* turned_vector, const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector)
 {
     const float tx1 = 2.0f * (versor->_x2 * vector->x3 - versor->_x3 * vector->x2);
     const float tx2 = 2.0f * (versor->_x3 * vector->x1 - versor->_x1 * vector->x3);
@@ -582,12 +582,12 @@ inline void bgc_fp32_versor_turn_vector(const BGC_FP32_Versor* versor, const BGC
     const float x2 = (vector->x2 + tx2 * versor->_s0) + (versor->_x3 * tx1 - versor->_x1 * tx3);
     const float x3 = (vector->x3 + tx3 * versor->_s0) + (versor->_x1 * tx2 - versor->_x2 * tx1);
 
-    result->x1 = x1;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    turned_vector->x2 = x2;
-    result->x3 = x3;
+    turned_vector->x3 = x3;
 }
 
-inline void bgc_fp64_versor_turn_vector(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result)
+inline void bgc_fp64_versor_turn_vector(BGC_FP64_Vector3* turned_vector, const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector)
 {
     const double tx1 = 2.0 * (versor->_x2 * vector->x3 - versor->_x3 * vector->x2);
     const double tx2 = 2.0 * (versor->_x3 * vector->x1 - versor->_x1 * vector->x3);
@@ -597,14 +597,14 @@ inline void bgc_fp64_versor_turn_vector(const BGC_FP64_Versor* versor, const BGC
     const double x2 = (vector->x2 + tx2 * versor->_s0) + (versor->_x3 * tx1 - versor->_x1 * tx3);
     const double x3 = (vector->x3 + tx3 * versor->_s0) + (versor->_x1 * tx2 - versor->_x2 * tx1);
 
-    result->x1 = x1;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    turned_vector->x2 = x2;
-    result->x3 = x3;
+    turned_vector->x3 = x3;
 }
 
 // ============== Turn Vector Back ============== //
 
-inline void bgc_fp32_versor_turn_vector_back(const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector, BGC_FP32_Vector3* result)
+inline void bgc_fp32_versor_turn_vector_back(BGC_FP32_Vector3* turned_vector, const BGC_FP32_Versor* versor, const BGC_FP32_Vector3* vector)
 {
     const float tx1 = 2.0f * (versor->_x2 * vector->x3 - versor->_x3 * vector->x2);
     const float tx2 = 2.0f * (versor->_x3 * vector->x1 - versor->_x1 * vector->x3);
@@ -614,12 +614,12 @@ inline void bgc_fp32_versor_turn_vector_back(const BGC_FP32_Versor* versor, cons
     const float x2 = (vector->x2 - tx2 * versor->_s0) + (versor->_x3 * tx1 - versor->_x1 * tx3);
     const float x3 = (vector->x3 - tx3 * versor->_s0) + (versor->_x1 * tx2 - versor->_x2 * tx1);
 
-    result->x1 = x1;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    turned_vector->x2 = x2;
-    result->x3 = x3;
+    turned_vector->x3 = x3;
 }
 
-inline void bgc_fp64_versor_turn_vector_back(const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector, BGC_FP64_Vector3* result)
+inline void bgc_fp64_versor_turn_vector_back(BGC_FP64_Vector3* turned_vector, const BGC_FP64_Versor* versor, const BGC_FP64_Vector3* vector)
 {
     const double tx1 = 2.0 * (versor->_x2 * vector->x3 - versor->_x3 * vector->x2);
     const double tx2 = 2.0 * (versor->_x3 * vector->x1 - versor->_x1 * vector->x3);
@@ -629,9 +629,9 @@ inline void bgc_fp64_versor_turn_vector_back(const BGC_FP64_Versor* versor, cons
     const double x2 = (vector->x2 - tx2 * versor->_s0) + (versor->_x3 * tx1 - versor->_x1 * tx3);
     const double x3 = (vector->x3 - tx3 * versor->_s0) + (versor->_x1 * tx2 - versor->_x2 * tx1);
 
-    result->x1 = x1;
+    turned_vector->x1 = x1;
-    result->x2 = x2;
+    turned_vector->x2 = x2;
-    result->x3 = x3;
+    turned_vector->x3 = x3;
 }
 
 // ================== Are Close ================= //