Rewrite float4x4::D3DPerspProjRH to coincide with D3DXMatrixPerspecti…

…veFovRH ( http://msdn.microsoft.com/en-us/library/windows/desktop/bb205351(v=vs.85).aspx ). Added float4x4::OpenGLPerspProjRH function to achieve the same for OpenGL.

src/Math/float4x4.cpp

@@ -460,8 +460,19 @@ float4x4 float4x4::D3DPerspProjRH(float n, float f, float h, float v)
 	float4x4 p;
 	p[0][0] = 2.f * n / h; p[0][1] = 0;           p[0][2] = 0;           p[0][3] = 0.f;
 	p[1][0] = 0;           p[1][1] = 2.f * n / v; p[1][2] = 0;           p[1][3] = 0.f;
-	p[2][0] = 0;           p[2][1] = 0;           p[2][2] = f / (f-n);   p[2][3] = n * f / (f-n);
-	p[3][0] = 0;           p[3][1] = 0;           p[3][2] = 1.f;         p[3][3] = 1.f;
+	p[2][0] = 0;           p[2][1] = 0;           p[2][2] = f / (n-f);   p[2][3] = n * f / (n-f);
+	p[3][0] = 0;           p[3][1] = 0;           p[3][2] = -1.f;        p[3][3] = 0.f;
+
+	return p;
+}
+
+float4x4 float4x4::OpenGLPerspProjRH(float n, float f, float h, float v)
+{
+	float4x4 p;
+	p[0][0] = 2.f *n / h;  p[0][1] = 0;           p[0][2] = 0;              p[0][3] = 0.f;
+	p[1][0] = 0;           p[1][1] = 2.f * n / v; p[1][2] = 0;              p[1][3] = 0.f;
+	p[2][0] = 0;           p[2][1] = 0;           p[2][2] = (n+f) / (n-f);  p[2][3] = 2.f*n*f / (n-f);
+	p[3][0] = 0;           p[3][1] = 0;           p[3][2] = -1.f;           p[3][3] = 1.f;
 
 	return p;
 }

src/Math/float4x4.h

@@ -270,6 +270,7 @@ class float4x4
 	/// Creates a new float4x4 that performs orthographic projection. [indexTitle: OrthographicProjection/YZ/XZ/XY]
 	static float4x4 D3DOrthoProjRH(float nearPlaneDistance, float farPlaneDistance, float horizontalViewportSize, float verticalViewportSize);
 	static float4x4 D3DPerspProjRH(float nearPlaneDistance, float farPlaneDistance, float horizontalViewportSize, float verticalViewportSize);
+	static float4x4 OpenGLPerspProjRH(float n, float f, float h, float v);
 	static float4x4 OrthographicProjection(const Plane &target);
 	static float4x4 OrthographicProjectionYZ(); ///< [similarOverload: OrthographicProjection] [hideIndex]
 	static float4x4 OrthographicProjectionXZ(); ///< [similarOverload: OrthographicProjection] [hideIndex]
@@ -809,7 +810,7 @@ class float4x4
 #endif
 
 	/// Extracts the rotation part of this matrix into Euler rotation angles (in radians). [indexTitle: ToEuler***]
-	/// @note It is better to thinkg about the returned float3 as an array of three floats, and
+	/// @note It is better to think about the returned float3 as an array of three floats, and
 	/// not as a triple of xyz, because e.g. the .y component returned by ToEulerYXZ() does
 	/// not return the amount of rotation about the y axis, but contains the amount of rotation
 	/// in the second axis, in this case the x axis.