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-;;; guile-2d
-;;; Copyright (C) 2013 David Thompson <dthompson2@worcester.edu>
-;;;
-;;; Guile-2d is free software: you can redistribute it and/or modify it
-;;; under the terms of the GNU Lesser General Public License as
-;;; published by the Free Software Foundation, either version 3 of the
-;;; License, or (at your option) any later version.
-;;;
-;;; Guile-2d 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. See the GNU
-;;; Lesser General Public License for more details.
-;;;
-;;; You should have received a copy of the GNU Lesser General Public
-;;; License along with this program. If not, see
-;;; <http://www.gnu.org/licenses/>.
-
-;;; Commentary:
-;;
-;; Vector math operations.
-;;
-;;; Code:
-
-(define-module (2d vector)
- #:use-module (rnrs base)
- #:export (vx
- vy
- vz
- v+
- v*
- scale
- mag
- normalize
- vector-reduce
- vector-from-polar))
-
-(define (vx vector)
- "Returns the first element of a vector."
- (vector-ref vector 0))
-
-(define (vy vector)
- "Returns the second element of a vector."
- (vector-ref vector 1))
-
-(define (vz vector)
- "Returns the third element of a vector."
- (vector-ref vector 2))
-
-(define (v+ . vectors)
- "Adds vectors."
- (apply vector-map + vectors))
-
-(define (v* . vectors)
- "Multiplies vectors."
- (apply vector-map * vectors))
-
-(define (scale vector scalar)
- "Multiplies a vector by a scalar."
- (vector-map (lambda (e) (* scalar e)) vector))
-
-(define (mag vector)
- "Returns the magnitude of a vector."
- (sqrt (vector-reduce + 0 (vector-map (lambda (e) (* e e)) vector))))
-
-(define (normalize vector)
- "Normalizes a vector."
- (let ((m (mag vector)))
- (vector-map (lambda (e) (/ e m)) vector)))
-
-(define (vector-reduce proc default vector)
- "Performs a reduce operation on a vector."
- (cond ((= (vector-length vector) 0)
- default)
- ((= (vector-length vector) 1)
- (vector-ref vector 0))
- (else
- (let loop ((i 2)
- (prev (proc (vector-ref vector 0)
- (vector-ref vector 1))))
- (if (= (vector-length vector) i)
- prev
- (loop (1+ i) (proc prev (vector-ref vector i))))))))
-
-(define (vector-from-polar r theta)
- "Converts polar coordinates into a cartesian vector."
- (vector (* r (cos theta))
- (* r (sin theta))))
-
-(re-export (vector-map . vector-map)
- (vector-for-each . vector-for-each))