graphmath v0.4.1 → Overview → Graphmath → Mat44

Graphmath.Mat44

This is the 3D mathematics library for graphmath.

This submodule handles 4x4 matrices using tuples of floats.

Summary
↑

add(a, b)

add(a,b) adds one 4x4 matrix to another
apply(a, v)

apply( a, v ) transforms a vector v by a 4x4 matrix a
apply_left(v, a)

apply_left( v, a ) transforms a vector v by a 4x4 matrix a
apply_left_transpose(v, a)

apply_left_transpose( v, a ) transforms a vector v by a 4x4 matrix a transposed
apply_transpose(a, v)

apply_transpose( a, v ) transforms a vector v by a 4x4 matrix a transposed
at(a, i, j)

at( a, i, j) selects the element of a 4x4 matrix at row i and column j
column0(a)

column0( a ) selects the first column from a matrix 4x4 as a vec4
column1(a)

column1( a ) selects the second column from a matrix 4x4 as a vec4
column2(a)

column2( a ) selects the third column from a matrix 4x4 as a vec4
column3(a)

column3( a ) selects the fourth column from a matrix 4x4 as a vec4
diag(a)

diag( a ) selects the diagonal from a matrix 4x4 as a vec4
identity()

identity() creates a 4x4 identity matrix
make_scale(k)

make_scale( k ) creates a mat44 that uniformly scales by a value k
make_scale(sx, sy, sz, sw)

make_scale( sx, sy, sz, sw ) creates a mat44 that scales by sx, sy, sz, and sz
make_translate(tx, ty, tz)

make_translate( tx, ty, tz ) creates a mat44 that translates a point by tx, ty, and tz
multiply(a, b)

multiply( a, b ) multiply two matrices a and b together
multiply_transpose(a, b)

multiply_transpose( a, b ) multiply two matrices a and b transpose together
round(a, sigfigs)

round( a, sigfigs ) rounds every element of a supplied mat44 a to number of digits sigfigs
row0(a)

row0( a ) selects the first row from a matrix 4x4 as a vec4
row1(a)

row1( a ) selects the second row from a matrix 4x4 as a vec4
row2(a)

row2( a ) selects the third row from a matrix 4x4 as a vec4
row3(a)

row3( a ) selects the fourth row from a matrix 4x4 as a vec4
scale(a, k)

scale( a, k ) scales every element in a matrix a by coefficient k
subtract(a, b)

subtract(a,b) subtracts one 4x4 matrix from another
zero()

zero() creates a 4x4 zero matrix

Types ↑

mat44 :: {float, float, float, float, float, float, float, float, float, float, float, float, float, float, float, float}

vec4 :: {float, float, float, float}

Functions

add(a, b)
(function) # ↑

Specs:

add(a,b) adds one 4x4 matrix to another.

apply(a, v)
(function) # ↑

Specs:

apply( a, v ) transforms a vector v by a 4x4 matrix a.

apply_left(v, a)
(function) # ↑

Specs:

apply_left( v, a ) transforms a vector v by a 4x4 matrix a.

apply_left_transpose(v, a)
(function) # ↑

Specs:

apply_left_transpose( v, a ) transforms a vector v by a 4x4 matrix a transposed.

apply_transpose(a, v)
(function) # ↑

Specs:

apply_transpose( a, v ) transforms a vector v by a 4x4 matrix a transposed.

at(a, i, j)
(function) # ↑

Specs:

  • at(mat44, Integer, Integer) :: float

at( a, i, j) selects the element of a 4x4 matrix at row i and column j.

column0(a)
(function) # ↑

Specs:

column0( a ) selects the first column from a matrix 4x4 as a vec4.

column1(a)
(function) # ↑

Specs:

column1( a ) selects the second column from a matrix 4x4 as a vec4.

column2(a)
(function) # ↑

Specs:

column2( a ) selects the third column from a matrix 4x4 as a vec4.

column3(a)
(function) # ↑

Specs:

column3( a ) selects the fourth column from a matrix 4x4 as a vec4.

diag(a)
(function) # ↑

Specs:

diag( a ) selects the diagonal from a matrix 4x4 as a vec4.

identity()
(function) # ↑

Specs:

identity() creates a 4x4 identity matrix.

make_scale(k)
(function) # ↑

Specs:

  • make_scale(float) :: mat44

make_scale( k ) creates a mat44 that uniformly scales by a value k.

make_scale(sx, sy, sz, sw)
(function) # ↑

Specs:

  • make_scale(float, float, float, float) :: mat44

make_scale( sx, sy, sz, sw ) creates a mat44 that scales by sx, sy, sz, and sz.

make_translate(tx, ty, tz)
(function) # ↑

Specs:

  • make_translate(float, float, float) :: mat44

make_translate( tx, ty, tz ) creates a mat44 that translates a point by tx, ty, and tz.

multiply(a, b)
(function) # ↑

Specs:

multiply( a, b ) multiply two matrices a and b together.

multiply_transpose(a, b)
(function) # ↑

Specs:

multiply_transpose( a, b ) multiply two matrices a and b transpose together.

round(a, sigfigs)
(function) # ↑

Specs:

round( a, sigfigs ) rounds every element of a supplied mat44 a to number of digits sigfigs.

row0(a)
(function) # ↑

Specs:

row0( a ) selects the first row from a matrix 4x4 as a vec4.

row1(a)
(function) # ↑

Specs:

row1( a ) selects the second row from a matrix 4x4 as a vec4.

row2(a)
(function) # ↑

Specs:

row2( a ) selects the third row from a matrix 4x4 as a vec4.

row3(a)
(function) # ↑

Specs:

row3( a ) selects the fourth row from a matrix 4x4 as a vec4.

scale(a, k)
(function) # ↑

Specs:

scale( a, k ) scales every element in a matrix a by coefficient k.

subtract(a, b)
(function) # ↑

Specs:

subtract(a,b) subtracts one 4x4 matrix from another..

zero()
(function) # ↑

Specs:

zero() creates a 4x4 zero matrix.