; Matrix.scm

(module matrix mzscheme
  (define size 30)

  (define (1+ x) (+ x 1))

  (define (mkmatrix rows cols)
    (let ((mx (make-vector rows 0))
	  (count 1))
      (do ((i 0 (1+ i)))
	  ((= i rows))
	(let ((row (make-vector cols 0)))
	  (do ((j 0 (1+ j)))
	      ((= j cols))
	    (vector-set! row j count)
	    (set! count (+ count 1)))
	  (vector-set! mx i row)))
      mx))

  (define (num-cols mx)
    (let ((row (vector-ref mx 0)))
      (vector-length row)))

  (define (num-rows mx)
    (vector-length mx))

  (define (mmult rows cols m1 m2)
    (let ((m3 (make-vector rows 0)))
      (do ((i 0 (1+ i)))
	  ((= i rows))
	(let ((m1i (vector-ref m1 i))
	      (row (make-vector cols 0)))
	  (do ((j 0 (1+ j)))
	      ((= j cols))
	    (let ((val 0))
	      (do ((k 0 (1+ k)))
		  ((= k cols))
		(set! val (+ val (* (vector-ref m1i k)
				    (vector-ref (vector-ref m2 k) j)))))
	      (vector-set! row j val)))
	  (vector-set! m3 i row)))
      m3))

  (define (matrix-print m)
    (do ((i 0 (1+ i)))
	((= i (num-rows m)))
      (let ((row (vector-ref m i)))
	(do ((j 0 (1+ j)))
	    ((= j (num-cols m)))
	  (display (vector-ref row j))
	  (if (< j (num-cols m))
	      (display " ")))
	(newline))))

  (define (print-list . items) (for-each display items) (newline))

  (define (main args)
    (let ((n (or (and (= (vector-length args) 1) (string->number (vector-ref
								  args 0)))
		 1)))
      (let ((mm 0)
	    (m1 (mkmatrix size size))
	    (m2 (mkmatrix size size)))
	(let loop ((iter n))
	  (cond ((> iter 0)
		 (set! mm (mmult size size m1 m2))
		 (loop (- iter 1)))))
	(let ((r0 (vector-ref mm 0))
	      (r2 (vector-ref mm 2))
	      (r3 (vector-ref mm 3))
	      (r4 (vector-ref mm 4)))
	  (print-list (vector-ref r0 0) " " (vector-ref r2 3) " "
		      (vector-ref r3 2) " " (vector-ref r4 4))))))

  (main (current-command-line-arguments)))