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authorDavid Thompson <dthompson2@worcester.edu>2014-06-28 18:46:16 -0400
committerDavid Thompson <dthompson2@worcester.edu>2014-06-28 18:46:16 -0400
commitf47eb69a354188154731846dde8b384c2c2f39f6 (patch)
tree6aa1ccb9212836b7c941e771475eb995fa6df9f9 /sly/math.scm
parentdf0f2a5f3f09394f1953abbc7e33e9a98204680e (diff)
Rename guile-2d to Sly!
Massive find/replace job.
Diffstat (limited to 'sly/math.scm')
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+;;; Sly
+;;; Copyright (C) 2013, 2014 David Thompson <dthompson2@worcester.edu>
+;;;
+;;; This program is free software: you can redistribute it and/or
+;;; modify it under the terms of the GNU General Public License as
+;;; published by the Free Software Foundation, either version 3 of the
+;;; License, or (at your option) any later version.
+;;;
+;;; 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. See the GNU
+;;; General Public License for more details.
+;;;
+;;; You should have received a copy of the GNU General Public License
+;;; along with this program. If not, see
+;;; <http://www.gnu.org/licenses/>.
+
+;;; Commentary:
+;;
+;; Miscellaneous math procedures. Currently just trigonometry.
+;;
+;;; Code:
+
+(define-module (sly math)
+ #:export (pi
+ degrees->radians
+ radians->degrees
+ sin-degrees
+ cos-degrees
+ tan-degrees
+ atan-degrees
+ clamp))
+
+;; Dave was editing this module on Pi Approximation Day.
+;;
+;; 3.141592653589793238462643383279
+;; 5028841971693993751058209749445923
+;; 07816406286208998628034825342117067
+;; 9821 48086 5132
+;; 823 06647 09384
+;; 46 09550 58223
+;; 17 25359 4081
+;; 2848 1117
+;; 4502 8410
+;; 2701 9385
+;; 21105 55964
+;; 46229 48954
+;; 9303 81964
+;; 4288 10975
+;; 66593 34461
+;; 284756 48233
+;; 78678 31652 71
+;; 2019091 456485 66
+;; 9234603 48610454326648
+;; 2133936 0726024914127
+;; 3724587 00660631558
+;; 817488 152092096
+;;
+(define pi 3.141592654)
+
+(define (degrees->radians angle)
+ "Convert ANGLE in degrees to radians."
+ (* angle (/ pi 180)))
+
+(define (radians->degrees angle)
+ "Convert ANGLE in radians to degrees."
+ (* angle (/ 180 pi)))
+
+(define (sin-degrees angle)
+ "Compute the sin of ANGLE expressed in degrees."
+ (sin (degrees->radians angle)))
+
+(define (cos-degrees angle)
+ "Compute the cosine of ANGLE expressed in degrees."
+ (cos (degrees->radians angle)))
+
+(define (tan-degrees angle)
+ "Compute the tangent of ANGLE expressed in degrees."
+ (tan (degrees->radians angle)))
+
+(define (atan-degrees y x)
+ "Compute the arctangent in degrees of the coordinates Y and X."
+ (radians->degrees (atan y x)))
+
+(define (clamp min max x)
+ "Restrict X to the range defined by MIN and MAX. Assumes that MIN is
+actually less than MAX."
+ (cond ((< x min) min)
+ ((> x max) max)
+ (else x)))