Matrix multiplication: Difference between revisions
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;; example use: |
;; example use: |
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(matrix-multiply '((1 2) (3 4)) '((-3 - |
(matrix-multiply '((1 2) (3 4)) '((-3 -8 3) (-2 1 4))) |
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=={{header|SQL}}== |
=={{header|SQL}}== |
Revision as of 00:05, 10 December 2007
Matrix multiplication
You are encouraged to solve this task according to the task description, using any language you may know.
You are encouraged to solve this task according to the task description, using any language you may know.
Multiply two Matrices together, they can be of any dimension as long as the number of columns of the first = the number of rows of the second.
Common Lisp
(defun matrix-multiply (a b) (flet ((col (mat i) (mapcar #'(lambda (row) (elt row i)) mat)) (row (mat i) (elt mat i))) (loop for row from 0 below (length a) collect (loop for col from 0 below (length (row b 0)) collect (apply #'+ (mapcar #'* (row a row) (col b col))))))) ;; example use: (matrix-multiply '((1 2) (3 4)) '((-3 -8 3) (-2 1 4)))
SQL
CREATE TABLE a (x integer, y integer, e real); CREATE TABLE b (x integer, y integer, e real); -- test data -- A is a 2x2 matrix INSERT INTO a VALUES(0,0,1); INSERT INTO a VALUES(1,0,2); INSERT INTO a VALUES(0,1,3); INSERT INTO a VALUES(1,1,4); -- B is a 2x3 matrix INSERT INTO b VALUES(0,0,-3); INSERT INTO b VALUES(1,0,-8); INSERT INTO b VALUES(2,0,3); INSERT INTO b VALUES(0,1,-2); INSERT INTO b VALUES(1,1, 1); INSERT INTO b VALUES(2,1,4); -- C is 2x2 * 2x3 so will be a 2x3 matrix SELECT rhs.x, lhs.y, (SELECT sum(a.e*b.e) FROM a, b WHERE a.y = lhs.y AND b.x = rhs.x AND a.x = b.y) INTO TABLE c FROM a AS lhs, b AS rhs WHERE lhs.x = 0 AND rhs.y = 0;