Class: Matrix
A matrix represents a mathematical matrix containing generic values. This allows to make linear operations with matrices containing specific objects representing maths or other scientific datas.
Users must be careful with method aliases: this type has methods
which modify the content of a matrix, and others which return a new one.
The first ones usually end with !, but there are some exceptions
like Matrix#[]=
Defined in:
Matrix.cr
Index:
m * number -> new_matrix
m * other_matrix -> new_matrix
If the argument is a number, a new matrix will be returned
with each component set to m[i,j] * number.
If the argument is a matrix, a matricial product is performed. If matrices are incompatible, an error is raised
m1 := |1,2,3; 4,5,6|
m2 := |1,5; 1,6; 0,2|
m3 := |2,7; 9,8|
m1 + 3
#=> |3,6,9;
12,15,18|
m1 * m2
#=> |3,23;
9,62|
m1 * m3 #=> MathError: Incompatible matrices for product
m + other_matrix -> new_matrix
It performs the sum [A] + [B] of two matrices.
If m and other_matrix do not have the same shape
an error will be raised.
m1 := |1,2,3; 4,5,6|
m2 := |1,0,1; 2,0,2|
m3 := |6,7; 8,9|
m1 + m2
#=> |2,2,4;
6,5,8|
m1 + m3 #=> MathError: Incompatible matrices for sum
m - other_matrix -> new_matrix
It performs the difference [A] - [B] of two matrices.
If m and other_matrix do not have the same shape
an error will be raised.
m1 := |1,2,3; 4,5,6|
m2 := |1,0,1; 2,0,2|
m3 := |6,7; 8,9|
m1 - m2
#=> |0,2,2;
2,5,4|
m1 - m3 #=> MathError: Incompatible matrices for difference
m[rows,cols] -> object
m[rows,cols_range] -> matrix
m[rows_range,cols] -> matrix
m[rows_range,cols_range] -> matrix
Returns a component of a matrix or a submatrix.
Indexes starts from 0.
m := |1,2,3; 4,5,6; 7,8,9|
m[1,1] #=> 5
m[0,1..2] #=> |2,3|
m[1..2,1]
#=> |5;
8|
m[1..2,1..2]
#=> |5,6;
8,9|
m[row,col] := object
It assigns to a component the given value (object).
If row or col is out of bounds, an error will be raised
m := |1,2; 3,4|
m[1,1] := 9
#=> |1,2;
3,9|
m[2,3] := 9 #=> IndexError: (Index [2,3] out of matrix)
m.each(&block) -> m
Iterates over each component of a matrix passing it to the given block
m := |1,2; 3,4|
m.each() { (v) printl v }
#=>
1
2
3
4
init(rows,cols) -> matrix
init(rows,cols,&block) -> matrix
Initializes a matrix instance given the number of rows and columns.
If a block is provided, each component will be set to block return
value, else null will be used.
new Matrix(2,2)
=> |null,null;
null,null|
new Matrix(2,2) { (i,j) i + j * 2}
=> |0,2;
1,3|
to_s() -> string
Converts a matrix into a string. It is already formatted by rows.
a := |1,2,3;4,5,6|
a.to_s()
#=> |1,2,3;
4,5,6|
m.tr() -> new_matrix
It transposes a matrix
m2 := |1,5; 1,6; 0,2|
m2.tr()
#=> |1,1,0;
5,6,2|