Matrix

Generic non-resizeable matrix with R rows and C columns. Intended for 3D use (size 3x3 and 4x4). Important: <b>Matrices here are in row-major order whereas OpenGL is column-major.</b>

struct Matrix (

T

int R

int C

) {

alias row_t = Vector!(T, C);

alias column_t = Vector!(T, R);

enum bool isSquare;

union __anonymous;

this(U values);

static Matrix fromColumns(column_t[] columns);

static Matrix fromRows(row_t[] rows);

Matrix opAssign(U x);

Matrix opAssign(U x);

Matrix opAssign(U x);

Matrix opAssign(U x);

Matrix opAssign(U x);

Matrix opAssign(U x);

Matrix opAssign(U x);

inout(T)* ptr();

column_t column(int j);

row_t row(int i);

string toString();

Matrix opBinary(T factor);

column_t opBinary(row_t x);

auto opBinary(U x);

Matrix opBinary(U other);

Matrix opOpAssign(U x);

Matrix opOpAssign(U operand);

Matrix opOpAssign(U operand);

bool opEquals(U other);

bool opEquals(U other);

Matrix opUnary();

static if(isSquare && isFloatingPoint!T && R == 1)

Matrix inverse();

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

Matrix inverse();

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

Matrix inverse();

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

Matrix inverse();

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

static if(isSquare && R > 1)

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

static if(isSquare && R > 1)

void translate(Vector!(T, R - 1) v);

static if(isSquare && R > 1)

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

static if(isSquare && R > 1)

void scale(Vector!(T, R - 1) v);

static if(isSquare && R > 1)

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

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

static Matrix rotateAxis(T angle);

alias rotateX = rotateAxis!(1, 2);

alias rotateY = rotateAxis!(2, 0);

alias rotateZ = rotateAxis!(0, 1);

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

static Matrix rotation(T angle, vec3!T axis);

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

static Matrix orthographic(T left, T right, T bottom, T top, T near, T far);

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

static Matrix perspective(T FOVInRadians, T aspect, T zNear, T zFar);

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

static Matrix lookAt(vec3!T eye, vec3!T target, vec3!T up);

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

Frustum!T frustum();

alias _T = T;

static Matrix identity();

static Matrix constant(U x);

}

Constructors

this this(U values): Undocumented in source.
this this(T x): Construct matrix with a scalar.

Members

Aliases

_T alias _T = T: Undocumented in source.
column_t alias column_t = Vector!(T, R): Undocumented in source.
rotateX alias rotateX = rotateAxis!(1, 2): Rotate along X axis
rotateY alias rotateY = rotateAxis!(2, 0): Rotate along Y axis
rotateZ alias rotateZ = rotateAxis!(0, 1): Rotate along Z axis
row_t alias row_t = Vector!(T, C): Undocumented in source.

Functions

column column_t column(int j): Returns a column as a vector
frustum Frustum!T frustum(): Extract frustum from a 4x4 matrice.
inverse Matrix inverse(): Returns an inverted copy of this matrix
inverse Matrix inverse(): Returns an inverted copy of this matrix
inverse Matrix inverse(): Returns an inverted copy of this matrix
inverse Matrix inverse(): Returns an inverted copy of this matrix
opAssign Matrix opAssign(U x): Assign with a scalar.
opAssign Matrix opAssign(U x): Assign with a samey matrice.
opAssign Matrix opAssign(U x): Assign from other small matrices (same size, compatible type).
opAssign Matrix opAssign(U x): Assign with a static array of size R * C.
opAssign Matrix opAssign(U x): Assign with a static array of shape (R, C).
opAssign Matrix opAssign(U x): Assign with a dynamic array of size R * C.
opAssign Matrix opAssign(U x): Assign with a dynamic array of shape (R, C).
opBinary Matrix opBinary(T factor): Matrix * scalar multiplication.
opBinary column_t opBinary(row_t x): Matrix * vector multiplication.
opBinary auto opBinary(U x): Matrix * matrix multiplication.
opBinary Matrix opBinary(U other): Matrix add and substraction.
opCast U opCast(): Cast to other matrix types. If the size are different, the resulting matrix is truncated and/or filled with identity coefficients.
opCast U opCast(): Convert 3x3 rotation matrix to quaternion.
opCast U opCast(): Converts a 4x4 rotation matrix to quaternion.
opEquals bool opEquals(U other): Undocumented in source. Be warned that the author may not have intended to support it.
opEquals bool opEquals(U other): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign Matrix opOpAssign(U x): Undocumented in source. Be warned that the author may not have intended to support it.
opOpAssign Matrix opOpAssign(U operand): Assignment operator with another samey matrix.
opOpAssign Matrix opOpAssign(U operand): Matrix += <something convertible to a Matrix> Matrix -= <something convertible to a Matrix>
opUnary Matrix opUnary(): Undocumented in source. Be warned that the author may not have intended to support it.
ptr inout(T)* ptr(): Return a pointer to content.
row row_t row(int i): Returns a row as a vector
scale void scale(Vector!(T, R - 1) v): In-place matrix scaling.
toString string toString(): Covnerts to pretty string.
translate void translate(Vector!(T, R - 1) v): In-place translate by (v, 1)
transposed Matrix!(T, C, R) transposed(): Returns a transposed copy of this matrix

Manifest constants

_C enum _C;: Undocumented in source.
_R enum _R;: Undocumented in source.

Static functions

constant Matrix constant(U x): Construct an constant matrix
diag Matrix diag(Vector!(T, R) v): Makes a diagonal matrix from a vector.
fromColumns Matrix fromColumns(column_t[] columns): Construct a matrix from columns.
fromRows Matrix fromRows(row_t[] rows): Construct a matrix from rows.
identity Matrix identity(): Construct an identity matrix
lookAt Matrix lookAt(vec3!T eye, vec3!T target, vec3!T up): Look At projection
orthographic Matrix orthographic(T left, T right, T bottom, T top, T near, T far): Orthographic projection
perspective Matrix perspective(T FOVInRadians, T aspect, T zNear, T zFar): Perspective projection
rotateAxis Matrix rotateAxis(T angle): Undocumented in source. Be warned that the author may not have intended to support it.
rotation Matrix rotation(T angle, vec3!T axis): Similar to the glRotate matrix, however the angle is expressed in radians
scaling Matrix scaling(Vector!(T, R - 1) v): Make a scaling matrix.
translation Matrix translation(Vector!(T, R - 1) v): Make a translation matrix.

Unions

__anonymous union __anonymous: Undocumented in source.

Variables

isSquare enum bool isSquare;: Undocumented in source.

Parameters

T: type of elements
R: number of rows
C: number of columns

Meta

Source

See Implementation

gfm math matrix aliases

structs

Matrix

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