graphmath v0.3.4 → Overview → Graphmath → Mat33 → Tuple

Graphmath.Mat33.Tuple

This is the 3D mathematics library for graphmath.

This submodule handles 3x3 matrices using tuples of floats.

Summary
↑

add(a, b)

add(a,b) adds one 3x3 matrix to another
apply(a, v)

apply( a, v ) transforms a vector v by a 3x3 matrix a
apply_left(v, a)

apply_left( v, a ) transforms a vector v by a 3x3 matrix a
apply_left_transpose(v, a)

apply_left_transpose( v, a ) transforms a vector v by a 3x3 matrix a transposed
apply_transpose(a, v)

apply_transpose( a, v ) transforms a vector v by a 3x3 matrix a transposed
at(a, i, j)

at( a, i, j) selects the element of a 3x3 matrix at row i and column j
column0(a)

column0( a ) selects the first column from a matrix 3x3 as a vec3
column1(a)

column1( a ) selects the second column from a matrix 3x3 as a vec3
column2(a)

column2( a ) selects the third column from a matrix 3x3 as a vec3
diag(a)

diag( a ) selects the diagonal from a matrix 3x3 as a vec3
identity()

identity() creates a 3x3 identity matrix
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
row0(a)

row0( a ) selects the first row from a matrix 3x3 as a vec3
row1(a)

row1( a ) selects the second row from a matrix 3x3 as a vec3
row2(a)

row2( a ) selects the third row from a matrix 3x3 as a vec3
scale(a, k)

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

subtract(a,b) subtracts one 3x3 matrix from another
zero()

zero() creates a 3x3 zero matrix

Types ↑

mat33 :: {float, float, float, float, float, float, float, float, float}

vec3 :: {float, float, float}

Functions

add(a, b)
(function) # ↑

Specs:

add(a,b) adds one 3x3 matrix to another.

apply(a, v)
(function) # ↑

Specs:

apply( a, v ) transforms a vector v by a 3x3 matrix a.

apply_left(v, a)
(function) # ↑

Specs:

apply_left( v, a ) transforms a vector v by a 3x3 matrix a.

apply_left_transpose(v, a)
(function) # ↑

Specs:

apply_left_transpose( v, a ) transforms a vector v by a 3x3 matrix a transposed.

apply_transpose(a, v)
(function) # ↑

Specs:

apply_transpose( a, v ) transforms a vector v by a 3x3 matrix a transposed.

at(a, i, j)
(function) # ↑

Specs:

  • at(mat33, Integer, Integer) :: float

at( a, i, j) selects the element of a 3x3 matrix at row i and column j.

column0(a)
(function) # ↑

Specs:

column0( a ) selects the first column from a matrix 3x3 as a vec3.

column1(a)
(function) # ↑

Specs:

column1( a ) selects the second column from a matrix 3x3 as a vec3.

column2(a)
(function) # ↑

Specs:

column2( a ) selects the third column from a matrix 3x3 as a vec3.

diag(a)
(function) # ↑

Specs:

diag( a ) selects the diagonal from a matrix 3x3 as a vec3.

identity()
(function) # ↑

Specs:

identity() creates a 3x3 identity matrix.

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.

row0(a)
(function) # ↑

Specs:

row0( a ) selects the first row from a matrix 3x3 as a vec3.

row1(a)
(function) # ↑

Specs:

row1( a ) selects the second row from a matrix 3x3 as a vec3.

row2(a)
(function) # ↑

Specs:

row2( a ) selects the third row from a matrix 3x3 as a vec3.

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 3x3 matrix from another..

zero()
(function) # ↑

Specs:

zero() creates a 3x3 zero matrix.