Matrix

this this(Args args): Constructs the matrix: If a single value is passed, the matrix will be cleared with this value ( each column in each col will contain this value ). If a matrix with more cols and columns is passed, the matrix will be the upper left nxm matrix. If a matrix with less cols and columns is passed, the passed matrix will be stored in the upper left of an identity matrix. It's also allowed to pass vectors and scalars at a time, but the vectors dimension must match the number of columns and align correctly.
this this(T mat): Construct a Matrix from another Matrix, equal sized or bigger
this this(T mat): Construct a Matrix from another Matrix, smaler sized
this this(valueType value): Construct a Matrix from a single value

Alias This

data

Members

Aliases

det alias det = determinant: mat2
det alias det = determinant: Undocumented in source.
det alias det = determinant: Returns the determinant of the current data ( 2x2, 3x3 and 4x4 matrices ).
rotationX alias rotationX = rotationA!(1, 2): Undocumented in source.
rotationY alias rotationY = rotationA!(2, 0): Undocumented in source.
rotationZ alias rotationZ = rotationA!(0, 1): Undocumented in source.
toPrettyString alias toPrettyString = asPrettyString: Undocumented in source.
toString alias toString = asString: Undocumented in source.
valueType alias valueType = type: Undocumented in source.
vectorType alias vectorType = Vector!(type, rows): Undocumented in source.

Functions

clear void clear(valueType value): Sets all values of the matrix to value ( each column in each col will contain this value ).
invert void invert(): Inverts the current matrix ( nxn matrices, n <= 4 ).
makeDiagonal void makeDiagonal(valueType val): Makes the current matrix an scaled identity matrix
makeIdentity void makeIdentity(): Makes the current matrix an identity matrix
opBinary auto opBinary(T s): Componentwise binary matrix-skalar operation: addition, subtraction, multiplication, division
opBinary auto opBinary(V vec): Matrix-vector multiplication
opBinary Matrix opBinary(Matrix mat): matrix-matrix componentwise operations addition, subtraction and division, using vector-vector operations of all colums
opBinary Matrix opBinary(M mat): matrix-matrix multiplication, using matrix-vector multiplication for each column of mat
opBinaryRight auto opBinaryRight(T s): Componentwise binary skalar-matrix operation: addition, subtraction, multiplication, division
opBinaryRight auto opBinaryRight(V vec): Vector-Matrix multiplication
opCast bool opCast(): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign void opOpAssign(T val): Undocumented in source. Be warned that the author may not have intended to support it.
rotate Matrix rotate(real angle): Rotate the current matrix arround an arbitrary axis
rotate Matrix rotate(real angle, Vector!(valueType, 3) axis): Rotate the current matrix arround an arbitrary axis
rotateX Matrix rotateX(real angle): Rotates the current matrix around the x - axis and returns $( I this ) ( nxn matrices, n >= 3 ).
rotateY Matrix rotateY(real angle): Rotates the current matrix around the y - axis and returns $( I this ) ( nxn matrices, n >= 3 ).
rotateZ Matrix rotateZ(real angle): Rotates the current matrix around the z - axis and returns $( I this ) ( nxn matrices, n >= 3 ).
rotation Matrix!(valueType, 3, 3) rotation(): Returns an identity matrix with the current rotation applied ( nxn matrices, n >= 3 ).
scale Matrix scale(valueType x): scale an existing matrix
scale Matrix scale(valueType x, valueType y): scale an existing matrix
scale Matrix scale(valueType x, valueType y, valueType z): Applys a scale to the current matrix and returns $( I this ) ( 3x3 and 4x4 matrices ).
scale Matrix scale(): Returns an identity matrix with the current scale applied ( nxn matrices, n >= 3 ).
translate Matrix translate(valueType x): translate an existing matrix
translate Matrix translate(valueType x, valueType y): translate an existing matrix
translate Matrix translate(valueType x, valueType y, valueType z): Applys a translation on the current matrix and returns $( I this ) ( 3x3 and 4x4 matrices ).
translation Matrix translation(): Returns an identity matrix with the current translation applied ( nxn matrices, n >= 3 ) ..
transpose void transpose(): Transposes the current matrix TODO : as free function and use here

Properties

asPrettyString string asPrettyString [@property getter]: Returns the current matrix as pretty formatted string. TODO : Check This
asString string asString [@property getter]: Returns the current matrix formatted as flat string.
determinant valueType determinant [@property getter]: mat2
determinant valueType determinant [@property getter]: Undocumented in source. Be warned that the author may not have intended to support it.
determinant valueType determinant [@property getter]: Undocumented in source. Be warned that the author may not have intended to support it.
identity Matrix identity [@property getter]: Returns a identity matrix.
inverse Matrix inverse [@property getter]: Returns an inverted copy of the current matrix ( nxn matrices, n <= 4 ).
ok bool ok [@property getter]: Returns true if all values are not nan and finite, otherwise false.
ptr auto ptr [@property getter]: Returns the pointer to the stored values as OpenGL requires it. Note this will return a pointer to a $( RED column - major ) matrix, $( RED this is the OpneGL convention and expected in programs via Uniforms or UBOs ).
transposed Matrix transposed [@property getter]: Returns a transposed copy of the matrix. TODO : Remove this, create a function which returns a transposed matrix like Wrong logic anyway, as transpose( mat3x2 ) = mat2x3

Static functions

inverseOrthographic Matrix inverseOrthographic(valueType left, valueType right, valueType bottom, valueType top, valueType near, valueType far): Returns an inverse ortographic matrix ( 4x4 and floating - point matrices only ).
inversePerspective Matrix inversePerspective(valueType fovy, valueType aspect, valueType near, valueType far): Construct an inverse, symmetric perspective matrix ( 4x4 and floating - point matrices only ).
inversePerspective Matrix inversePerspective(valueType left, valueType right, valueType bottom, valueType top, valueType near, valueType far): Construct an inverse, optionally non-symmetric perspective matrix
isCompatibleMatrixImpl void isCompatibleMatrixImpl(Matrix!(valueType, col, row) mat): Undocumented in source. Be warned that the author may not have intended to support it.
isCompatibleVectorImpl void isCompatibleVectorImpl(Vector!(valueType, dim) vec): Undocumented in source. Be warned that the author may not have intended to support it.
lookAt Matrix lookAt(Vector!(valueType, 3) eye, Vector!(valueType, 3) target, Vector!(valueType, 3) up): Construct a look at matrix ( 4x4 and floating - point matrices only ).
orthographic Matrix orthographic(valueType left, valueType right, valueType bottom, valueType top, valueType near, valueType far): Construct an orthographic matrix ( 4x4 and floating - point matrices only ).
perspective Matrix perspective(valueType fovy, valueType aspect, valueType near, valueType far): Construct a symmetric perspective matrix ( 4x4 and floating - point matrices only ).
perspective Matrix perspective(valueType left, valueType right, valueType bottom, valueType top, valueType near, valueType far): Construct an optionally non-symmetric perspective matrix
rotation Matrix rotation(real angle): Returns an identity matrix with an applied 2D rotation.
rotation Matrix rotation(real angle, Vector!(valueType, 3) axis): Returns an identity matrix with an applied rotate_axis around an arbitrary axis ( nxn matrices, n >= 3 ).
rotation Matrix rotation(real angle, valueType x, valueType y, valueType z): Undocumented in source. Be warned that the author may not have intended to support it.
rotationA Matrix rotationA(real angle): Returns an identity matrix with an applied rotation around the A-Canonical - axis ( nxn matrices, n >= 3 ).
scaling Matrix scaling(valueType x): scaling, static construction of a scaling matrix
scaling Matrix scaling(valueType x, valueType y): scaling, static construction of a scaling matrix
scaling Matrix scaling(valueType x, valueType y, valueType z): Returns a scaling matrix ( 3x3 and 4x4 matrices );
translation Matrix translation(valueType x): translation, static construction of a translation matrix
translation Matrix translation(valueType x, valueType y): translation, static construction of a translation matrix
translation Matrix translation(valueType x, valueType y, valueType z): Returns a translation matrix ( 3x3 and 4x4 matrices ).