Добавление тангентов (аналог версоров, но для двумерных пространств) / Adding of tangent pairs, it is like versors but for 2 dimensional spaces

basic-geometry-dev/main.c

@@ -234,7 +234,7 @@ int main()
     for (int j = 0; j < 1000; j++) {
         for (unsigned int i = 0; i < amount; i++) {
             bg_fp32_versor_combine(&versors1[i], &versors2[i], &results[i]);
-            bg_fp32_versor_get_rotation_matrix(&versors1[i], &matrixes[i]);
+            bg_fp32_versor_make_rotation_matrix(&versors1[i], &matrixes[i]);
             bg_fp32_matrix3x3_right_product(&matrixes[i], &vectors[i], &vectors[i]);
             //bg_fp32_versor_turn(&results[i], &vectors[i], &vectors[i]);
         }

basic-geometry/basic-geometry.h

@@ -14,6 +14,8 @@
 #include "matrix3x2.h"
 #include "matrix3x3.h"
 
+#include "tangent.h"
+
 #include "rotation3.h"
 
 #include "quaternion.h"

basic-geometry/basic-geometry.vcxproj

@@ -29,6 +29,7 @@
     <ClInclude Include="matrixes.h" />
     <ClInclude Include="quaternion.h" />
     <ClInclude Include="rotation3.h" />
+    <ClInclude Include="tangent.h" />
     <ClInclude Include="versor.h" />
     <ClInclude Include="vector2.h" />
     <ClInclude Include="vector3.h" />
@@ -43,6 +44,7 @@
     <ClCompile Include="matrixes.c" />
     <ClCompile Include="quaternion.c" />
     <ClCompile Include="rotation3.c" />
+    <ClCompile Include="tangent.c" />
     <ClCompile Include="versor.c" />
     <ClCompile Include="vector2.c" />
     <ClCompile Include="vector3.c" />

basic-geometry/basic-geometry.vcxproj.filters

@@ -54,6 +54,9 @@
     <ClInclude Include="matrixes.h">
       <Filter>Файлы заголовков</Filter>
     </ClInclude>
+    <ClInclude Include="tangent.h">
+      <Filter>Файлы заголовков</Filter>
+    </ClInclude>
   </ItemGroup>
   <ItemGroup>
     <ClCompile Include="angle.c">
@@ -92,5 +95,8 @@
     <ClCompile Include="matrix3x2.c">
       <Filter>Исходные файлы</Filter>
     </ClCompile>
+    <ClCompile Include="tangent.c">
+      <Filter>Исходные файлы</Filter>
+    </ClCompile>
   </ItemGroup>
 </Project>

basic-geometry/tangent.c

@@ -0,0 +1,5 @@
+#include "tangent.h"
+
+const BgFP32Tangent BG_FP32_IDLE_TANGENT = { 1.0f, 0.0f };
+
+const BgFP64Tangent BG_FP64_IDLE_TANGENT = { 1.0, 0.0 };

basic-geometry/tangent.h

@@ -0,0 +1,296 @@
+#ifndef _GEOMETRY_TANGENT_H_
+#define _GEOMETRY_TANGENT_H_
+
+#include <math.h>
+
+#include "basis.h"
+#include "angle.h"
+#include "vector2.h"
+#include "matrix2x2.h"
+
+typedef struct
+{
+    float _cos, _sin;
+} BgFP32Tangent;
+
+typedef struct
+{
+    double _cos, _sin;
+} BgFP64Tangent;
+
+extern const BgFP32Tangent BG_FP32_IDLE_TANGENT;
+extern const BgFP64Tangent BG_FP64_IDLE_TANGENT;
+
+// =================== Reset ==================== //
+
+static inline void bg_fp32_tangent_reset(BgFP32Tangent* tangent)
+{
+    tangent->_cos = 1.0f;
+    tangent->_sin = 0.0f;
+}
+
+static inline void bg_fp64_tangent_reset(BgFP64Tangent* tangent)
+{
+    tangent->_cos = 1.0;
+    tangent->_sin = 0.0;
+}
+
+// ==================== Copy ==================== //
+
+static inline void bg_fp32_tangent_copy(const BgFP32Tangent* from, BgFP32Tangent* to)
+{
+    to->_cos = from->_cos;
+    to->_sin = from->_sin;
+}
+
+static inline void bg_fp64_tangent_copy(const BgFP64Tangent* from, BgFP64Tangent* to)
+{
+    to->_cos = from->_cos;
+    to->_sin = from->_sin;
+}
+
+// ==================== Make ==================== //
+
+static inline void bg_fp32_tangent_set_values(const float x1, const float x2, BgFP32Tangent* tangent)
+{
+    const float square_module = x1 * x1 + x2 * x2;
+
+    tangent->_cos = x1;
+    tangent->_sin = x2;
+
+    if (1.0f - BG_FP32_TWO_EPSYLON <= square_module && square_module <= 1.0f + BG_FP32_TWO_EPSYLON) {
+        return;
+    }
+
+    if (square_module <= BG_FP32_SQUARE_EPSYLON) {
+        tangent->_cos = 1.0f;
+        tangent->_sin = 0.0f;
+        return;
+    }
+
+    const float multiplier = sqrtf(1.0f / square_module);
+
+    tangent->_cos = x1 * multiplier;
+    tangent->_sin = x2 * multiplier;
+}
+
+static inline void bg_fp64_tangent_set_values(const double x1, const double x2, BgFP64Tangent* tangent)
+{
+    const double square_module = x1 * x1 + x2 * x2;
+
+    tangent->_cos = x1;
+    tangent->_sin = x2;
+
+    if (1.0 - BG_FP64_TWO_EPSYLON <= square_module && square_module <= 1.0 + BG_FP64_TWO_EPSYLON) {
+        return;
+    }
+
+    if (square_module <= BG_FP64_SQUARE_EPSYLON) {
+        tangent->_cos = 1.0;
+        tangent->_sin = 0.0;
+        return;
+    }
+
+    const double multiplier = sqrt(1.0 / square_module);
+
+    tangent->_cos = x1 * multiplier;
+    tangent->_sin = x2 * multiplier;
+}
+
+// ================== Set Angle ================= //
+
+static inline void bg_fp32_tangent_set_angle(const float angle, const angle_unit_t unit, BgFP32Tangent* tangent)
+{