Matrix

Matrix type

struct Matrix (

T

uint U

uint V

) if (

__traits(isArithmetic, T)

) {

alias ElementType = T;

this(T[U * V] elements);

this(T[U][V] elements);

this(Vector!(T, U)[V] vectors);

Matrix!(T, U, V) opUnary();

Matrix!(T, U, V) opUnary();

Matrix!(CommonType!(T, S), U, V) opBinary(Matrix!(S, U, V) m);

Matrix!(CommonType!(T, S), U, P) opBinary(Matrix!(S, V, P) m);

Matrix!(CommonType!(T, S), U, V) opBinary(S e);

Vector!(CommonType!(T, S), U) opBinary(Vector!(S, V) v);

Matrix opOpAssign(Matrix!(S, U, V) m);

Matrix opOpAssign(Matrix!(S, U, V) m);

Matrix opOpAssign(S e);

T opIndex(size_t i, size_t j);

T opIndex(size_t i, size_t j);

T[U * V] array();

Vector!(T, U)[V] column();

Vector!(T, V)[U] row();

string toString();

static if(U == V)

static Matrix identity();

static if(U == V)

static Matrix scale(Vector!(T, U) vec);

static if(U == V)
static if(U == 3 || U == 4)

static Matrix translate(Vector!(T, U - 1) vec);

static if(U == V)
static if(U == 3)

static Matrix axisAngle(Vector!(T, 3) axis, Angle angle);

static if(U == V)
static if(U == 3)

static Matrix rotFromTo(Vector!(T, 3) from, Vector!(T, 3) to);

static if(U == V)
static if(U == 3)

static Matrix lookAt(Vector!(T, 3) vec, Vector!(T, 3) up);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix axisAngle(Vector!(T, 3) v, Angle angle);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix rotFromTo(Vector!(T, 3) from, Vector!(T, 3) to);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix lookAt(Vector!(T, 3) eye, Vector!(T, 3) vec, Vector!(T, 3) up);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix ortho(T width, T height, T nearZ, T farZ);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix perspective(T aspectWperH, Angle fovy, T nearZ, T farZ);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix makeTRS(Vector!(T, 3) trans, Matrix!(T, 3, 3) rot, Vector!(T, 3) scale);

static if(U == V)
static if(!(U == 3))
static if(U == 4)

static Matrix makeInvertTRS(Vector!(T, 3) pos, Matrix!(T, 3, 3) rot, Vector!(T, 3) scale);

}

Constructors

this this(T e): Constructor by element type. This matrix's each element is filled by given value.
this this(T[U * V] elements): Constructor by array. This matrix's all elements are filled by given array.
this this(Range r): Constructor by InputRange. This matrix's all elements are filled by given range.
this this(T[U][V] elements): Constructor by array of array. This matrix's all elements are filled by given array.
this this(Vector!(T, U)[V] vectors): Constructor by array of vector. This matrix's all elements are filled by given Each vectors are dealed as column.

Alias This

Members

Aliases

ElementType alias ElementType = T: Element type of this matrix type

Functions

array T[U * V] array(): Get raw array data.
column Vector!(T, U)[V] column(): Get column array as array of vector
opBinary Matrix!(CommonType!(T, S), U, V) opBinary(Matrix!(S, U, V) m): Binary operator between the same size matrix ("+" or "-"). Another type matrix is allowed.
opBinary Matrix!(CommonType!(T, S), U, P) opBinary(Matrix!(S, V, P) m): Multiply operator between matrix. Another type matrix is allowed.
opBinary Matrix!(CommonType!(T, S), U, V) opBinary(S e): Binary operation between scalar type ("*" or "/").
opBinary Vector!(CommonType!(T, S), U) opBinary(Vector!(S, V) v): Binary operation between vector type ("*" only).
opIndex T opIndex(size_t i, size_t j): indexing operation
opIndex T opIndex(size_t i, size_t j): indexing operation
opOpAssign Matrix opOpAssign(Matrix!(S, U, V) m): operator assign between matrix type ("+" or "-")
opOpAssign Matrix opOpAssign(Matrix!(S, U, V) m): operator assign between matrix type (only "*")
opOpAssign Matrix opOpAssign(S e): operator assign between scalar type ("*" or "/")
opUnary Matrix!(T, U, V) opUnary(): Unary operation for "+".
opUnary Matrix!(T, U, V) opUnary(): Unary operation for "-".
row Vector!(T, V)[U] row(): Get row array as array of vector
toString string toString(): Converts to string

Manifest constants

Column enum Column;: Column number of this matrix type
Row enum Row;: Row number of this matrix type

Static functions

axisAngle Matrix axisAngle(Vector!(T, 3) axis, Angle angle): Returns rotation matrix decided by its rotation axis and angle.
axisAngle Matrix axisAngle(Vector!(T, 3) v, Angle angle): Returns rotation matrix decided by its rotation axis and angle.
identity Matrix identity(): Returns identity matrix.
lookAt Matrix lookAt(Vector!(T, 3) vec, Vector!(T, 3) up): Returns view transform matrix.
lookAt Matrix lookAt(Vector!(T, 3) eye, Vector!(T, 3) vec, Vector!(T, 3) up): Returns view transform matrix.
makeInvertTRS Matrix makeInvertTRS(Vector!(T, 3) pos, Matrix!(T, 3, 3) rot, Vector!(T, 3) scale): Returns inverse TRS transform matrix.
makeTRS Matrix makeTRS(Vector!(T, 3) trans, Matrix!(T, 3, 3) rot, Vector!(T, 3) scale): Returns TRS transform matrix.
ortho Matrix ortho(T width, T height, T nearZ, T farZ): Returns orthographic projection transform matrix.
perspective Matrix perspective(T aspectWperH, Angle fovy, T nearZ, T farZ): Returns perspective projection transform matrix.
rotFromTo Matrix rotFromTo(Vector!(T, 3) from, Vector!(T, 3) to): Returns rotation matrix which converts a vector to another vector.
rotFromTo Matrix rotFromTo(Vector!(T, 3) from, Vector!(T, 3) to): Returns rotation matrix which converts a vector to another vector.
scale Matrix scale(Vector!(T, U) vec): Returns scale matrix.
translate Matrix translate(Vector!(T, U - 1) vec): Returns translation matrix.

Meta

Source

See Implementation