 float4x4[Class Summary] |
 v |
| zero[static][const] |
| identity[static][const] |
| nan[static][const] |
 ctor (+6 overloads) |
| GetScale()[const] |
| ComplementaryProjection()[const] |
 operator[](row) (+1 overload) |
| At(row,col) (+1 overload) |
| Row(row) (+1 overload) |
| Row3(row)[const] |
| Col(col)[const] |
| Diagonal()[const] |
| ScaleRow3(row,scalar) |
| ScaleRow(row,scalar) |
| ScaleCol3(col,scalar) |
| ScaleCol(col,scalar) |
| Float3x3Part()[const] |
| Float3x4Part() (+1 overload) |
| TranslatePart()[const] |
| RotatePart()[const] |
| X/Y/Z()[const] |
| ptr() (+1 overload) |
| SetRow3(row,data) (+2 overloads) |
| SetRow(row,data) (+3 overloads) |
| SetCol3(column,data) (+2 overloads) |
| SetCol(column,data) (+3 overloads) |
| Set(...) (+3 overloads) |
| Set3x3Part(rotation) |
| Set3x4Part(rotateTranslate) |
| SetIdentity() |
| SwapColumns(col1,col2) |
| SwapRows(row1,row2) |
| SetTranslatePart(tx,ty,tz) (+2 overloads) |
| SetRotatePart/X/Y/Z(...) (+2 overloads) |
| operator=(rhs) (+4 overloads) |
| Determinant3()[const] |
| Determinant4()[const] |
| SubMatrix(i,j)[const] |
| Minor(i,j)[const] |
| Adjugate()[const] |
| CholeskyDecompose(outL)[const] |
| LUDecompose(outLower,outUpper)[const] |
| Inverse(epsilon) |
| Inverted()[const] |
| InverseColOrthogonal() |
| InverseOrthogonalUniformScale() |
| InverseOrthonormal() |
| Transpose() |
| Transposed()[const] |
| InverseTranspose() |
| InverseTransposed()[const] |
| Trace()[const] |
| Orthogonalize3(...) (+1 overload) |
| Orthonormalize3(...) (+1 overload) |
| RemoveScale() |
| Pivot() |
| TransformPos(pointVector)[const] (+2 overloads) |
| TransformDir(directionVector)[const] (+2 overloads) |
| Transform(vector)[const] |
| TransformPos(...)[const] (+1 overload) |
| TransformDir(...)[const] (+1 overload) |
| Transform(...)[const] (+1 overload) |
| operator*(rhs)[const] (+5 overloads) |
| operator/(scalar)[const] |
| operator+(rhs)[const] |
| operator-(rhs)[const] (+1 overload) |
| operator+()[const] |
| operator*=(scalar) |
| operator/=(scalar) |
| operator+=(rhs) |
| operator-=(rhs) |
| IsFinite()[const] |
| IsIdentity(epsilon)[const] |
| IsLowerTriangular(epsilon)[const] |
| IsUpperTriangular(epsilon)[const] |
| IsInvertible(epsilon)[const] |
| IsSymmetric(epsilon)[const] |
| IsSkewSymmetric(epsilon)[const] |
| IsIdempotent(epsilon)[const] |
| HasUnitaryScale(epsilon)[const] |
| HasNegativeScale()[const] |
| HasUniformScale(epsilon)[const] |
| IsRowOrthogonal3(epsilon)[const] |
| IsColOrthogonal3(epsilon)[const] |
| IsOrthonormal3(epsilon)[const] |
| Equals(other,epsilon)[const] |
| ContainsProjection(epsilon)[const] |
| ToString()[const] |
| SerializeToString()[const] |
| ToString2()[const] |
| ToEuler***()[const] |
| ExtractScale()[const] |
| Decompose(...)[const] (+3 overloads) |
| Abs()[const] |
| Mul(rhs)[const] (+3 overloads) |
| MulPos(pointVector)[const] (+1 overload) |
| MulDir(directionVector)[const] (+1 overload) |
| Mul(vector)[const] |
| Translate(tx,ty,tz)[static] (+1 overload) |
| RotateX/Y/Z(...)[static] (+1 overload) |
| RotateAxisAngle(...)[static] (+1 overload) |
| RotateFromTo(...)[static] (+1 overload) |
| RandomGeneral(...)[static] |
| RotateFromTo(...)[static] (+1 overload) |
| FromQuat(orientation)[static] (+1 overload) |
| FromTRS(...)[static] (+3 overloads) |
| FromEuler***(x2,y,x)[static] |
| Scale(sx,sy,sz)[static] (+2 overloads) |
| ScaleAlongAxis(...)[static] (+1 overload) |
| UniformScale(uniformScale)[static] (+1 overload) |
| ShearX/Y/Z(yFactor,zFactor)[static] |
| Mirror(p)[static] |
| D3DOrthoProjLH(...)[static] |
| D3DOrthoProjRH(...)[static] |
| D3DPerspProjLH(...)[static] |
| D3DPerspProjRH(...)[static] |
| OpenGLOrthoProjLH(...)[static] |
| OpenGLOrthoProjRH(...)[static] |
| OpenGLPerspProjLH(...)[static] |
| OpenGLPerspProjRH(...)[static] |
| OrthographicProjection/YZ/XZ/XY(target)[static] |
| LookAt(...)[static] (+1 overload) |
float4x4::D3DOrthoProjRH
Syntax
float4x4 float4x4::D3DOrthoProjRH(float nearPlaneDistance, float farPlaneDistance, float horizontalViewportSize, float verticalViewportSize); [13 lines of code]Identical to D3DXMatrixOrthoRH, except transposed to account for Matrix * vector convention used in MathGeoLib.
This function generates an orthographic projection matrix that maps from the Direct3D view space to the Direct3D normalized viewport space as follows:
See http://msdn.microsoft.com/en-us/library/windows/desktop/bb205349(v=vs.85).aspx In Direct3D view space, we assume that the camera is positioned at the origin (0,0,0). The camera looks directly towards the positive Z axis (0,0,1). The -X axis spans to the left of the screen, +X goes to the right. -Y goes to the bottom of the screen, +Y goes to the top.
After the transformation, we're in the Direct3D normalized viewport space as follows:
(-1,-1,0) is the bottom-left corner of the viewport at the near plane. (1,1,0) is the top-right corner of the viewport at the near plane. (0,0,0) is the center point at the near plane. Coordinates with z=1 are at the far plane.
Examples: (0,0,n) maps to (0,0,0). (0,0,f) maps to (0,0,1). (-h/2, -v/2, n) maps to (-1, -1, 0). (h/2, v/2, f) maps to (1, 1, 1).