diff options
author | Brad Davis <[email protected]> | 2013-07-03 09:16:03 -0700 |
---|---|---|
committer | Brad Davis <[email protected]> | 2013-07-03 09:16:03 -0700 |
commit | d46694c91c2bec4eb1e282c0c0101e6dab26e082 (patch) | |
tree | eb5fba71edf1aedc0d6af9406881004289433b20 /LibOVR/Src/Kernel/OVR_Math.cpp | |
parent | 7fa8be4bc565adc9911c95c814480cc48bf2d13c (diff) |
SDK 0.2.3
Diffstat (limited to 'LibOVR/Src/Kernel/OVR_Math.cpp')
-rw-r--r-- | LibOVR/Src/Kernel/OVR_Math.cpp | 306 |
1 files changed, 153 insertions, 153 deletions
diff --git a/LibOVR/Src/Kernel/OVR_Math.cpp b/LibOVR/Src/Kernel/OVR_Math.cpp index eaf23fe..3c35bde 100644 --- a/LibOVR/Src/Kernel/OVR_Math.cpp +++ b/LibOVR/Src/Kernel/OVR_Math.cpp @@ -1,153 +1,153 @@ -/************************************************************************************
-
-Filename : OVR_Math.h
-Content : Implementation of 3D primitives such as vectors, matrices.
-Created : September 4, 2012
-Authors : Andrew Reisse, Michael Antonov
-
-Copyright : Copyright 2012 Oculus VR, Inc. All Rights reserved.
-
-Use of this software is subject to the terms of the Oculus license
-agreement provided at the time of installation or download, or which
-otherwise accompanies this software in either electronic or hard copy form.
-
-*************************************************************************************/
-
-#include "OVR_Math.h"
-
-#include <float.h>
-
-namespace OVR {
-
-
-//-------------------------------------------------------------------------------------
-// ***** Math
-
-
-// Single-precision Math constants class.
-const float Math<float>::Pi = 3.1415926f;
-const float Math<float>::TwoPi = 3.1415926f * 2;
-const float Math<float>::PiOver2 = 3.1415926f / 2.0f;
-const float Math<float>::PiOver4 = 3.1415926f / 4.0f;
-const float Math<float>::E = 2.7182818f;
-
-const float Math<float>::MaxValue = FLT_MAX;
-const float Math<float>::MinPositiveValue = FLT_MIN;
-
-const float Math<float>::RadToDegreeFactor = 360.0f / Math<float>::TwoPi;
-const float Math<float>::DegreeToRadFactor = Math<float>::TwoPi / 360.0f;
-
-const float Math<float>::Tolerance = 0.00001f;
-const float Math<float>::SingularityRadius = 0.0000001f; // Use for Gimbal lock numerical problems
-
-
-// Double-precision Math constants class.
-const double Math<double>::Pi = 3.14159265358979;
-const double Math<double>::TwoPi = 3.14159265358979 * 2;
-const double Math<double>::PiOver2 = 3.14159265358979 / 2.0;
-const double Math<double>::PiOver4 = 3.14159265358979 / 4.0;
-const double Math<double>::E = 2.71828182845905;
-
-const double Math<double>::MaxValue = DBL_MAX;
-const double Math<double>::MinPositiveValue = DBL_MIN;
-
-const double Math<double>::RadToDegreeFactor = 360.0 / Math<double>::TwoPi;
-const double Math<double>::DegreeToRadFactor = Math<double>::TwoPi / 360.0;
-
-const double Math<double>::Tolerance = 0.00001;
-const double Math<double>::SingularityRadius = 0.000000000001; // Use for Gimbal lock numerical problems
-
-
-
-//-------------------------------------------------------------------------------------
-// ***** Matrix4f
-
-
-Matrix4f Matrix4f::LookAtRH(const Vector3f& eye, const Vector3f& at, const Vector3f& up)
-{
- Vector3f z = (eye - at).Normalized(); // Forward
- Vector3f x = up.Cross(z).Normalized(); // Right
- Vector3f y = z.Cross(x);
-
- Matrix4f m(x.x, x.y, x.z, -(x * eye),
- y.x, y.y, y.z, -(y * eye),
- z.x, z.y, z.z, -(z * eye),
- 0, 0, 0, 1 );
- return m;
-}
-
-Matrix4f Matrix4f::LookAtLH(const Vector3f& eye, const Vector3f& at, const Vector3f& up)
-{
- Vector3f z = (at - eye).Normalized(); // Forward
- Vector3f x = up.Cross(z).Normalized(); // Right
- Vector3f y = z.Cross(x);
-
- Matrix4f m(x.x, x.y, x.z, -(x * eye),
- y.x, y.y, y.z, -(y * eye),
- z.x, z.y, z.z, -(z * eye),
- 0, 0, 0, 1 );
- return m;
-}
-
-
-Matrix4f Matrix4f::PerspectiveLH(float yfov, float aspect, float znear, float zfar)
-{
- Matrix4f m;
- float tanHalfFov = tan(yfov * 0.5f);
-
- m.M[0][0] = 1.0f / (aspect * tanHalfFov);
- m.M[1][1] = 1.0f / tanHalfFov;
- m.M[2][2] = zfar / (zfar - znear);
- m.M[3][2] = 1.0f;
- m.M[2][3] = (zfar * znear) / (znear - zfar);
- m.M[3][3] = 0.0f;
-
- // Note: Post-projection matrix result assumes Left-Handed coordinate system,
- // with Y up, X right and Z forward. This supports positive z-buffer values.
- return m;
-}
-
-
-Matrix4f Matrix4f::PerspectiveRH(float yfov, float aspect, float znear, float zfar)
-{
- Matrix4f m;
- float tanHalfFov = tan(yfov * 0.5f);
-
- m.M[0][0] = 1.0f / (aspect * tanHalfFov);
- m.M[1][1] = 1.0f / tanHalfFov;
- m.M[2][2] = zfar / (znear - zfar);
- // m.M[2][2] = zfar / (zfar - znear);
- m.M[3][2] = -1.0f;
- m.M[2][3] = (zfar * znear) / (znear - zfar);
- m.M[3][3] = 0.0f;
-
- // Note: Post-projection matrix result assumes Left-Handed coordinate system,
- // with Y up, X right and Z forward. This supports positive z-buffer values.
- // This is the case even for RHS cooridnate input.
- return m;
-}
-
-
-/*
-OffCenterLH
-
-2*zn/(r-l) 0 0 0
-0 2*zn/(t-b) 0 0
-(l+r)/(l-r) (t+b)/(b-t) zf/(zf-zn) 1
-0 0 zn*zf/(zn-zf) 0
-
-*/
-
-
-Matrix4f Matrix4f::Ortho2D(float w, float h)
-{
- Matrix4f m;
- m.M[0][0] = 2.0f/w;
- m.M[1][1] = -2.0f/h;
- m.M[0][3] = -1.0;
- m.M[1][3] = 1.0;
- m.M[2][2] = 0;
- return m;
-}
-
-}
+/************************************************************************************ + +Filename : OVR_Math.h +Content : Implementation of 3D primitives such as vectors, matrices. +Created : September 4, 2012 +Authors : Andrew Reisse, Michael Antonov + +Copyright : Copyright 2012 Oculus VR, Inc. All Rights reserved. + +Use of this software is subject to the terms of the Oculus license +agreement provided at the time of installation or download, or which +otherwise accompanies this software in either electronic or hard copy form. + +*************************************************************************************/ + +#include "OVR_Math.h" + +#include <float.h> + +namespace OVR { + + +//------------------------------------------------------------------------------------- +// ***** Math + + +// Single-precision Math constants class. +const float Math<float>::Pi = 3.1415926f; +const float Math<float>::TwoPi = 3.1415926f * 2; +const float Math<float>::PiOver2 = 3.1415926f / 2.0f; +const float Math<float>::PiOver4 = 3.1415926f / 4.0f; +const float Math<float>::E = 2.7182818f; + +const float Math<float>::MaxValue = FLT_MAX; +const float Math<float>::MinPositiveValue = FLT_MIN; + +const float Math<float>::RadToDegreeFactor = 360.0f / Math<float>::TwoPi; +const float Math<float>::DegreeToRadFactor = Math<float>::TwoPi / 360.0f; + +const float Math<float>::Tolerance = 0.00001f; +const float Math<float>::SingularityRadius = 0.0000001f; // Use for Gimbal lock numerical problems + + +// Double-precision Math constants class. +const double Math<double>::Pi = 3.14159265358979; +const double Math<double>::TwoPi = 3.14159265358979 * 2; +const double Math<double>::PiOver2 = 3.14159265358979 / 2.0; +const double Math<double>::PiOver4 = 3.14159265358979 / 4.0; +const double Math<double>::E = 2.71828182845905; + +const double Math<double>::MaxValue = DBL_MAX; +const double Math<double>::MinPositiveValue = DBL_MIN; + +const double Math<double>::RadToDegreeFactor = 360.0 / Math<double>::TwoPi; +const double Math<double>::DegreeToRadFactor = Math<double>::TwoPi / 360.0; + +const double Math<double>::Tolerance = 0.00001; +const double Math<double>::SingularityRadius = 0.000000000001; // Use for Gimbal lock numerical problems + + + +//------------------------------------------------------------------------------------- +// ***** Matrix4f + + +Matrix4f Matrix4f::LookAtRH(const Vector3f& eye, const Vector3f& at, const Vector3f& up) +{ + Vector3f z = (eye - at).Normalized(); // Forward + Vector3f x = up.Cross(z).Normalized(); // Right + Vector3f y = z.Cross(x); + + Matrix4f m(x.x, x.y, x.z, -(x * eye), + y.x, y.y, y.z, -(y * eye), + z.x, z.y, z.z, -(z * eye), + 0, 0, 0, 1 ); + return m; +} + +Matrix4f Matrix4f::LookAtLH(const Vector3f& eye, const Vector3f& at, const Vector3f& up) +{ + Vector3f z = (at - eye).Normalized(); // Forward + Vector3f x = up.Cross(z).Normalized(); // Right + Vector3f y = z.Cross(x); + + Matrix4f m(x.x, x.y, x.z, -(x * eye), + y.x, y.y, y.z, -(y * eye), + z.x, z.y, z.z, -(z * eye), + 0, 0, 0, 1 ); + return m; +} + + +Matrix4f Matrix4f::PerspectiveLH(float yfov, float aspect, float znear, float zfar) +{ + Matrix4f m; + float tanHalfFov = tan(yfov * 0.5f); + + m.M[0][0] = 1.0f / (aspect * tanHalfFov); + m.M[1][1] = 1.0f / tanHalfFov; + m.M[2][2] = zfar / (zfar - znear); + m.M[3][2] = 1.0f; + m.M[2][3] = (zfar * znear) / (znear - zfar); + m.M[3][3] = 0.0f; + + // Note: Post-projection matrix result assumes Left-Handed coordinate system, + // with Y up, X right and Z forward. This supports positive z-buffer values. + return m; +} + + +Matrix4f Matrix4f::PerspectiveRH(float yfov, float aspect, float znear, float zfar) +{ + Matrix4f m; + float tanHalfFov = tan(yfov * 0.5f); + + m.M[0][0] = 1.0f / (aspect * tanHalfFov); + m.M[1][1] = 1.0f / tanHalfFov; + m.M[2][2] = zfar / (znear - zfar); + // m.M[2][2] = zfar / (zfar - znear); + m.M[3][2] = -1.0f; + m.M[2][3] = (zfar * znear) / (znear - zfar); + m.M[3][3] = 0.0f; + + // Note: Post-projection matrix result assumes Left-Handed coordinate system, + // with Y up, X right and Z forward. This supports positive z-buffer values. + // This is the case even for RHS cooridnate input. + return m; +} + + +/* +OffCenterLH + +2*zn/(r-l) 0 0 0 +0 2*zn/(t-b) 0 0 +(l+r)/(l-r) (t+b)/(b-t) zf/(zf-zn) 1 +0 0 zn*zf/(zn-zf) 0 + +*/ + + +Matrix4f Matrix4f::Ortho2D(float w, float h) +{ + Matrix4f m; + m.M[0][0] = 2.0f/w; + m.M[1][1] = -2.0f/h; + m.M[0][3] = -1.0; + m.M[1][3] = 1.0; + m.M[2][2] = 0; + return m; +} + +} |