Matrix

T = Type of elements. R = Number of rows. C = Number of columns. O = Matrix order. It can be RowMajor or ColumnMajor.

struct Matrix (

T

ubyte R

ubyte C = R

) if (

R >= 2 &&

R <= 4

&&

C >= 2

&&

C <= 4

) {

alias type = T;

enum columnCount;

enum bool isSquare;

alias RowType = Vector!(T, C);

alias ColumnType = Vector!(T, R);

union __anonymous;

static if(R == 4 && C == 4)

void setTranslation(Vector3!T translation);

static if(R == 4 && C == 4)

void setScale(Vector3!T scale);

this(U values);

static Matrix fromColumns(ColumnType[] columns);

static Matrix fromRows(RowType[] rows);

static Matrix identity();

static Matrix constant(U x);

ColumnType column(int j);

Matrix opBinary(T fprimitive);

ColumnType opBinary(RowType x);

auto opBinary(U x);

Matrix opBinary(U rhs);

Matrix opOpAssign(U rhs);

Matrix opUnary();

bool opEquals(U rhs);

inout(T)* ptr();

static if(isFloatingPoint!T && R == 2 && C == 2)

Matrix inverse();

static if(isFloatingPoint!T && R == 3 && C == 3)

Matrix inverse();

static if(isFloatingPoint!T && R == 4 && C == 4)

Matrix inverse();

Matrix!(T, C, R) transposed();

static if(isSquare && R > 2)

static Matrix diag(Vector!(T, R) v);

static if(isSquare && R > 2)

static Matrix translation(Vector!(T, R - 1) v);

static if(isSquare && R > 2)

static Matrix scaling(Vector!(T, R - 1) v);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

static Matrix rotateAxis(T angle);

alias rotateXAxix = rotateAxis!(1, 2);

alias rotateYAxis = rotateAxis!(2, 0);

alias rotateZAxis = rotateAxis!(0, 1);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

void rotate(T angle, Vector!(T, 3) axis);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

void rotateX(T angle);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

void rotateY(T angle);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

void rotateZ(T angle);

static if(isSquare && (R == 3 || R == 4) && isFloatingPoint!T)

static Matrix rotation(T angle, Vector!(T, 3) axis, Matrix m);

static if(isSquare && R == 4 && isFloatingPoint!T)

static Vector4!T transformation(Matrix lhs, Vector4!T rhs);

static if(isSquare && R == 4 && isFloatingPoint!T)

static Matrix perspective(T FOVInRadians, T width, T height, T zNear, T zFar);

static if(isSquare && R == 4 && isFloatingPoint!T)

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

static if(isSquare && R == 4 && isFloatingPoint!T)

static Matrix camera(Vector!(T, 3) forward, Vector!(T, 3) up);

}

Constructors

this this(U values)

Members

Aliases

ColumnType alias ColumnType = Vector!(T, R)
RowType alias RowType = Vector!(T, C)
rotateXAxix alias rotateXAxix = rotateAxis!(1, 2): Returns rotation matrix along axis X.
rotateYAxis alias rotateYAxis = rotateAxis!(2, 0): Returns rotation matrix along axis Y.
rotateZAxis alias rotateZAxis = rotateAxis!(0, 1): Returns rotation matrix along axis Z.
type alias type = T

Functions

column ColumnType column(int j)
inverse Matrix inverse(): Returns inverse of matrix 2x2.
inverse Matrix inverse(): Returns inverse of matrix 3x3.
inverse Matrix inverse(): Returns inverse of matrix 4x4.
opBinary Matrix opBinary(T fprimitive)
opBinary ColumnType opBinary(RowType x)
opBinary auto opBinary(U x)
opBinary Matrix opBinary(U rhs)
opCast U opCast()
opEquals bool opEquals(U rhs)
opOpAssign Matrix opOpAssign(U rhs)
opUnary Matrix opUnary()
ptr inout(T)* ptr(): Returns a pointer to content.
rotate void rotate(T angle, Vector!(T, 3) axis): In-place rotation by (v, 1)
rotateX void rotateX(T angle)
rotateY void rotateY(T angle)
rotateZ void rotateZ(T angle)
setScale void setScale(Vector3!T scale): Undocumented in source.
setTranslation void setTranslation(Vector3!T translation): Undocumented in source.
transposed Matrix!(T, C, R) transposed(): Returns transposed matrix.

Manifest constants

columnCount enum columnCount;
order enum order;
rowCount enum rowCount;

Static functions

camera Matrix camera(Vector!(T, 3) forward, Vector!(T, 3) up): Returns camera projection
constant Matrix constant(U x): Returns a constant matrix.
diag Matrix diag(Vector!(T, R) v): Makes a diagonal matrix from a vector.
fromColumns Matrix fromColumns(ColumnType[] columns): Construct a matrix from columns.
fromRows Matrix fromRows(RowType[] rows): Construct a matrix from rows.
identity Matrix identity(): Returns an identity matrix.
lookAt Matrix lookAt(Vector!(T, 3) eye, Vector!(T, 3) target, Vector!(T, 3) up): Returns lookAt projection.
perspective Matrix perspective(T FOVInRadians, T width, T height, T zNear, T zFar): Returns perspective projection.
rotateAxis Matrix rotateAxis(T angle)
rotation Matrix rotation(T angle, Vector!(T, 3) axis, Matrix m)
scaling Matrix scaling(Vector!(T, R - 1) v): Make a scaling matrix.
transformation Vector4!T transformation(Matrix lhs, Vector4!T rhs): * Transform a Vector4 by a Matrix4.
translation Matrix translation(Vector!(T, R - 1) v): Make a translation matrix.

Unions

__anonymous union __anonymous: Fields definition.

Variables

isSquare enum bool isSquare;

Meta

Source

See Implementation