Matrix

// Scalar operations, any of *, /, +, -, % with number
m1 + 1;
m1 * 2;
// etc...
// Matrix/Matrix scalar op (on each element)
m1 + m2;
m1 - m2;
m1.scalarMultiply(m2);
m1.scalarDivide(m2);
// Unary operations
-m1; // invert all numbers
~m1; // invert matrix, aka m1^-1, where ~m1*m1=m1.identity
// Binary operations
m1 * m2; // matrix multiplication
vec1x2 * m2x1; // vector by matrix
m3x4 * vec4x1; // matrix by vector
// Casting
cast(vec1x3) mat1x3; // cast to column vector
cast(vec3x1) mat1x3; // or row vector
cast(mat1x3) vec3x1; // or event vector to mat
cast(imat2) fmat2; // and type changing casts
cast(imat2) imat4; // changing size (keeps top left)
cast(imat4) imat2; // fills new cells with zeros
// Data access:
m1[1][2]; // access to row 1 column 2
m1.data[1][2]; // or explicit access to data

Constructors

this

this(T val)

this(T[size] vals)

this(T[W][H] vals)

Constructs Matrix from components. If no components present matrix will be filled with 0

this

this(quat q)

Construct matrix from quaternion

Alias This

Members

Aliases

MatType

alias MatType = Matrix!(T, H, W)

Alias to matrix type. Can be used to construct matrices of same type

dataType

alias dataType = T

Alias to data type

inverse

alias inverse = invert

Inverts current matrix, alias to data = ~matrix

inversed

alias inversed = inverted

Returns inverted, alias to return ~matrix

toArray

alias toArray = buffer

Construct row-major one dimentional array from matrix.

toGlArray

alias toGlArray = glbuffer

Construct column-major one dimentional array from matrix.

Functions

adjoint

MatType adjoint()

Returns ajdoint matrix

buffer

T[W * H] buffer()

Construct row-major one dimentional array from matrix.

copyof

MatType copyof()

Returns copy of matrix

determinant

T determinant()

Returns determinant of matrix

fixNegativeZero

MatType fixNegativeZero()

Removes negative sign from numbers less then float.epsilon*2

glbuffer

T[W * H] glbuffer()

Construct column-major one dimentional array from matrix.

invert

MatType invert()

Inverts current matrix, alias to data = ~matrix

inverted

mat!(H, W) inverted()

Returns inverted, alias to return ~matrix

opBinary

MatType opBinary(Matrix!(R, H, W) b)

Scalar matrix addition and subtraction

opBinary

Matrix!(T, H, U) opBinary(Matrix!(R, W, U) b)

Matrix multiplication

opBinary

Vector!(R, H) opBinary(Vector!(R, W) b)

Vector transformation

opBinary

Vector!(R, 3) opBinary(Vector!(R, 3) b)

Vector3 transformation

opBinary

quat opBinary(quat b)

Quaternion transformation

opBinary

MatType opBinary(R b)

Scalar number operations

opBinaryRight

MatType opBinaryRight(Matrix!(R, H, W) b)

Scalar matrix addition and subtraction

opBinaryRight

Matrix!(T, U, W) opBinaryRight(Matrix!(R, U, H) b)

Matrix multiplication

opBinaryRight

Vector!(R, W) opBinaryRight(Vector!(R, H) b)

Vector transformation

opBinaryRight

Vector!(R, 3) opBinaryRight(Vector!(R, 3) b)

Vector3 transformation

opBinaryRight

quat opBinaryRight(quat b)

Quaternion transformation

opBinaryRight

MatType opBinaryRight(R b)

Scalar number operations

opCast

R opCast()

Matrix type conversion

opCast

R opCast()

Matrix resizing

opCast

R opCast()

Matrix to vector cast (column)

opCast

R opCast()

Matrix to vector cast (row)

opCast

bool opCast()

Boolean cast

opEquals

bool opEquals(Matrix!(R, H, W) b)

bool opEquals(Matrix!(R, V, U) b)

bool opEquals(R[][] b)

bool opEquals(R[] b)

opEquals x == y

opOpAssign

MatType opOpAssign(Matrix!(R, H, W) b)

MatType opOpAssign(R b)

Scalar addition and subtraction in place

opUnary

MatType opUnary()

opUnary [-, +, --, ++, *, ~] x

opUnary

Matrix!(float, W, W) opUnary()

Invert matrix

ptr

T[W]* ptr()

Returns pointer to data

resize

Matrix!(T, V, U) resize()

Resize matrix (keep left top). Alias to cast(Matrix!(T, V, U)) Matrix!(T, H, W)

scalarDivide

MatType scalarDivide(Matrix!(R, W, H) b)

Divides each element by each element of matrices

scalarMultiply

MatType scalarMultiply(Matrix!(R, W, H) b)

Multiplies each element by each element of matrices

toHash

size_t toHash()

Returns hash

toString

string toString()

Returns string representation of matrix: [1.00, 1.00,... , 1.00]

toStringPretty

string toStringPretty()

Returns string representation of matrix: 1.00, 1.00,... |\n|1.00, ... , 1.00|

transpose

Matrix!(T, W, H) transpose()

Transpose of matrix (swaps rows and columns)

Static functions

frustum

MatType frustum(T left, T right, T bottom, T top, T near, T far)

Constructs frustum matrix

identity

MatType identity()

Returns identity matrix for size

lookAt

MatType lookAt(vec!(T, 3) eye, vec!(T, 3) target, vec!(T, 3) up)

Constructs lookAt matrix

ortho

MatType ortho(T left, T right, T bottom, T top, T near, T far)

Constructs orthographic matrix

perspective

MatType perspective(int fovy, T aspect, T near, T far)

MatType perspective(T fovy, T aspect, T near, T far)

Construct perspective matrix

rotation

MatType rotation(T angle)

Constructs 2d rotation matrix

rotation

MatType rotation(T[3] axis, T angle)

Constructs 3d rotation matrix from axis and angle

rotationX

MatType rotationX(T angle)

Constructs 3d rotation matrix from angle on X axis

rotationY

MatType rotationY(T angle)

Constructs 3d rotation matrix from angle on Y axis

rotationZ

MatType rotationZ(T angle)

Constructs 3d rotation matrix from angle on Z axis

scale

MatType scale(T[2] s, ...)

Constructs 2d scale matrix

scale

MatType scale(T[3] v, ...)

Constructs 3d scale matrix

shear

MatType shear(T[2] s, ...)

Constructs 2d shear matrix

translation

MatType translation(T[2] s, ...)

Constructs 2d translation matrix

translation

MatType translation(T[3] v, ...)

Constructs 3d translation matrix

Variables

columns

enum size_t columns;

Matrix size (w)

data

T[W][H] data;

Matrix data

isSquare

enum bool isSquare;

Is matrix square (W == H)

rows

enum size_t rows;

Matrix size (h)

size

enum size_t size;

Matrix size (h*w)

• imat
• imat2
• imat3
• imat4
• mat
• mat2
• mat3
• mat4

• Matrix

• isMatrix