zmath.math3d

is4dMat

Declaration

immutable bool is4dMat(M);

Checks if a type is a valid Matrix for 3d math over 4d

perspectiveMat

Declaration

pure nothrow @nogc M perspectiveMat(M = Mat4f, T = float, U = float, V = float, W = float)(T fov, U aspect, V zMin, W zMax) if (is4dMat!M && isNumeric!T && isNumeric!U && isNumeric!V && isNumeric!W);

Creates a projection matrix (similar to gluPerspective)

Parameters

`T fov`	Field of View in radians (PI_2 -> 90º)
`U aspect`	Aspect ratio (x/y)
`V zMin`	Near clipping plane
`W zMax`	Far clipping plane Returns a perspective projection matrix

orthoMat

Declaration

pure nothrow @nogc M orthoMat(M = Mat4f, T = float, U = float, V = float, W = float, X = float, Y = float)(T xMin, U xMax, V yMin, W yMax, X zMin = 0, Y zMax = 1) if (is4dMat!M && isNumeric!T && isNumeric!U && isNumeric!V && isNumeric!W && isNumeric!X && isNumeric!Y);

Creates a orthographic projection matrix

Parameters

`T xMin`	Left clipping plane
`U xMax`	Right clipping plane
`V yMin`	Bottom clipping plane
`W yMax`	Top clipping plane
`X zMin`	Near clipping plane
`Y zMax`	Far clipping plane Returns a orthographic projection matrix

orthoMat

Declaration

pure nothrow @nogc M orthoMat(M = Mat4f, T = float, U = float, V = float)(T width = 1, U height = 1, V deep = 1) if (is4dMat!M && isNumeric!T && isNumeric!U && isNumeric!V);

Creates a orthographic projection matrix

Parameters

`T width`	Width of visible zone
`U height`	Height of visible zone
`V deep`	Deep of visible zone Returns a orthographic projection matrix

translateMat

Declaration

pure nothrow @nogc M translateMat(M = Mat4f, V = Vec3f)(V v) if (isVector!V && (V.dim <= 3) && is4dMat!M);

Creates a translation matrix from a 2d/3d Vector

Parameters

V v

2d/3d Vector Returns a translation matrix

translateMat

Declaration

pure nothrow @nogc M translateMat(M = Mat4f, T = float)(T x, T y, T z) if (is4dMat!M && is(T : real));

Creates a translation matrix from xyz coords

Parameters

`T x`	X coord
`T y`	Y coord
`T z`	Z coord Returns a translation matrix

scaleMat

Declaration

pure nothrow @nogc M scaleMat(M = Mat4f, T = float)(T s) if (is4dMat!M && is(T : real));

Creates a uniform 3d scale matrix

Parameters

T s

scale factor Returns a scale matrix

scaleMat

Declaration

pure nothrow @nogc M scaleMat(M = Mat4f, T = float)(T x, T y, T z) if (is4dMat!M && is(T : real));

Creates a not uniform 3d scale matrix

Parameters

`T x`	X axis scale
`T y`	Y axis scale
`T z`	Z axis scale Returns a scale matrix

scaleMat

Declaration

pure nothrow @nogc M scaleMat(M = Mat4f, V = Vec3f)(V v) if (isVector!V && (V.dim <= 3) && is4dMat!M);

Creates a not uniform 3d scale matrix

Parameters

V v

Vector with scale factor. If is a 2d Vector, z axis scale factor is 1 Returns a scale matrix

rotMat

Declaration

pure nothrow @nogc M rotMat(M = Mat4f, V = Vec3f, T = float)(V v, T angle) if (isVector!V && (V.dim <= 3) && is4dMat!M && __traits(isFloating, T));

Creates a rotation matrix from a axis and angle in radians

Parameters

`V v`	Rotation axis
`T angle`	`angle` in radians Returns a 3d rotation matrix

rotMat

Declaration

pure nothrow @nogc M rotMat(M = Mat4f, T = float, U = float)(T x, T y, T z, U angle) if (is4dMat!M && is(T : real) && is(U : real));

Creates a rotation matrix from a axis and angle in radians

Parameters

`T x`	X coord of rotation axis
`T y`	Y coord of rotation axis
`T z`	Z coord of rotation axis
`U angle`	`angle` in radians Returns a 3d rotation matrix

rotMat

Declaration

M rotMat(M = Mat4f, Q = Qua_f)(Q q) if (is4dMat!M && isQuaternion!Q);

Creates a rotation matrix from a Quaternion

Parameters

Q q

Quaternion that represents a rotation Returns a 3d rotation matrix

lookAt

Declaration

pure nothrow @nogc M lookAt(M = Mat4f, V = Vec3f, T = float)(V eye, V target, V up) if (is4dMat!M && isNumeric!T && isVector!V && (V.dim <= 3));

Look At projection Based on gfm code