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#!./matrix \
-e do-test -s
!#
;;; Authors: David Beazley <beazley@cs.uchicago.edu>, 1999
;;; Martin Froehlich <MartinFroehlich@ACM.org>, 2000
;;;
;;; PURPOSE OF THIS FILE: This file is an example for how to use the guile
;;; scripting options with a little more than trivial script. Example
;;; derived from David Beazley's matrix evaluation example. David
;;; Beazley's annotation: >>Guile script for testing out matrix
;;; operations. Disclaimer : I'm not a very good scheme
;;; programmer<<. Martin Froehlich's annotation: >>I'm not a very good
;;; scheme programmer, too<<.
;;;
;;; Explanation: The three lines at the beginning of this script are
;;; telling the kernel to load the enhanced guile interpreter named
;;; "matrix"; to execute the function "do-test" (-e option) after loading
;;; this script (-s option). There are a lot more options wich allow for
;;; even finer tuning. SEE ALSO: Section "Guile Scripts" in the "Guile
;;; reference manual -- Part I: Preliminaries".
;;;
;;;
;;; This program is distributed in the hope that it will be useful, but
;;; WITHOUT ANY WARRANTY; without even the implied warranty of
;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
;;; Create a zero matrix
(define (zero M)
(define (zero-loop M i j)
(if (< i 4)
(if (< j 4) (begin
(set-m M i j 0.0)
(zero-loop M i (+ j 1)))
(zero-loop M (+ i 1) 0))))
(zero-loop M 0 0))
;;; Create an identity matrix
(define (identity M)
(define (iloop M i)
(if (< i 4) (begin
(set-m M i i 1.0)
(iloop M (+ i 1)))))
(zero M)
(iloop M 0))
;;; Rotate around x axis
(define (rotx M r)
(define temp (new-matrix))
(define rd (/ (* r 3.14159) 180.0))
(zero temp)
(set-m temp 0 0 1.0)
(set-m temp 1 1 (cos rd))
(set-m temp 1 2 (- 0 (sin rd)))
(set-m temp 2 1 (sin rd))
(set-m temp 2 2 (cos rd))
(set-m temp 3 3 1.0)
(mat-mult M temp M)
(destroy-matrix temp))
;;; Rotate around y axis
(define (roty M r)
(define temp (new-matrix))
(define rd (/ (* r 3.14159) 180.0))
(zero temp)
(set-m temp 1 1 1.0)
(set-m temp 0 0 (cos rd))
(set-m temp 0 2 (sin rd))
(set-m temp 2 0 (- 0 (sin rd)))
(set-m temp 2 2 (cos rd))
(set-m temp 3 3 1.0)
(mat-mult M temp M)
(destroy-matrix temp))
;;; Rotate around z axis
(define (rotz M r)
(define temp (new-matrix))
(define rd (/ (* r 3.14159) 180.0))
(zero temp)
(set-m temp 0 0 (cos rd))
(set-m temp 0 1 (- 0 (sin rd)))
(set-m temp 1 0 (sin rd))
(set-m temp 1 1 (cos rd))
(set-m temp 2 2 1.0)
(set-m temp 3 3 1.0)
(mat-mult M temp M)
(destroy-matrix temp))
;;; Scale a matrix
(define (scale M s)
(define temp (new-matrix))
(define (sloop m i s)
(if (< i 4) (begin
(set-m m i i s)
(sloop m (+ i 1) s))))
(zero temp)
(sloop temp 0 s)
(mat-mult M temp M)
(destroy-matrix temp))
;;; Make a matrix with random elements
(define (randmat M)
(define (rand-loop M i j)
(if (< i 4)
(if (< j 4)
(begin
(set-m M i j (drand48))
(rand-loop M i (+ j 1)))
(rand-loop M (+ i 1) 0))))
(rand-loop M 0 0))
;;; stray definitions collected here
(define (rot-test M v t i)
(if (< i 360) (begin
(rotx M 1)
(rotz M -0.5)
(transform M v t)
(rot-test M v t (+ i 1)))))
(define (create-matrix) ; Create some matrices
(let loop ((i 0) (result '()))
(if (< i 200)
(loop (+ i 1) (cons (new-matrix) result))
result)))
(define (add-mat M ML)
(define (add-two m1 m2 i j)
(if (< i 4)
(if (< j 4)
(begin
(set-m m1 i j (+ (get-m m1 i j) (get-m m2 i j)))
(add-two m1 m2 i (+ j 1)))
(add-two m1 m2 (+ i 1) 0))))
(if (null? ML) *unspecified*
(begin
(add-two M (car ML) 0 0)
(add-mat M (cdr ML)))))
(define (cleanup ML)
(if (null? ML) *unspecified*
(begin
(destroy-matrix (car ML))
(cleanup (cdr ML)))))
(define (make-random ML) ; Put random values in them
(if (null? ML) *unspecified*
(begin
(randmat (car ML))
(make-random (cdr ML)))))
(define (mul-mat m ML)
(if (null? ML) *unspecified*
(begin
(mat-mult m (car ML) m)
(mul-mat m (cdr ML)))))
;;; Now we'll hammer on things a little bit just to make
;;; sure everything works.
(define M1 (new-matrix)) ; a matrix
(define v (createv 1 2 3 4)) ; a vector
(define t (createv 0 0 0 0)) ; the zero-vector
(define M-list (create-matrix)) ; get list of marices
(define M (new-matrix)) ; yet another matrix
(display "variables defined\n")
(define (do-test x)
(display "Testing matrix program...\n")
(identity M1)
(print-matrix M1)
(display "Rotate-x 45 degrees\n")
(rotx M1 45)
(print-matrix M1)
(display "Rotate y 30 degrees\n")
(roty M1 30)
(print-matrix M1)
(display "Rotate z 15 degrees\n")
(rotz M1 15)
(print-matrix M1)
(display "Scale 0.5\n")
(scale M1 0.5)
(print-matrix M1)
;; Rotating ...
(display "Rotating...\n")
(rot-test M1 v t 0)
(printv t)
(make-random M-list)
(zero M1)
(display "Adding them together (in Guile)\n")
(add-mat M1 M-list)
(print-matrix M1)
(display "Doing 200 multiplications (mostly in C)\n")
(randmat M)
(mul-mat M M-list)
(display "Cleaning up\n")
(cleanup M-list))
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