hms-dms-radians.scm 1.8 KB

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
  1. #| -*-Scheme-*-
  2. Copyright (C) 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994,
  3. 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
  4. 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Massachusetts
  5. Institute of Technology
  6. This file is part of MIT/GNU Scheme.
  7. MIT/GNU Scheme is free software; you can redistribute it and/or modify
  8. it under the terms of the GNU General Public License as published by
  9. the Free Software Foundation; either version 2 of the License, or (at
  10. your option) any later version.
  11. MIT/GNU Scheme is distributed in the hope that it will be useful, but
  12. WITHOUT ANY WARRANTY; without even the implied warranty of
  13. MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  14. General Public License for more details.
  15. You should have received a copy of the GNU General Public License
  16. along with MIT/GNU Scheme; if not, write to the Free Software
  17. Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301,
  18. USA.
  19. |#
  20. ;;; Some elementary unit conversions
  21. (define (degrees->radians degrees)
  22. (* (/ :2pi 360) degrees))
  23. (define (radians->degrees radians)
  24. (* (/ 360 :2pi) radians))
  25. (define (xms->x xms)
  26. (+ (car xms)
  27. (/ (cadr xms) 60)
  28. (/ (caddr xms) 3600)))
  29. (define (x->xms x)
  30. (let* ((d (truncate x))
  31. (dd (- x d))
  32. (m (truncate (* 60 dd)))
  33. (ddm (- dd (/ m 60)))
  34. (s (* 3600 ddm)))
  35. (list d m s)))
  36. (define dms->d xms->x)
  37. (define d->dms x->xms)
  38. (define (dms->radians dms)
  39. (degrees->radians (dms->d dms)))
  40. (define (radians->dms radians)
  41. (d->dms (radians->degrees radians)))
  42. (define (hours->radians hours)
  43. (* (/ :2pi 24) hours))
  44. (define (radians->hours radians)
  45. (* (/ 24 :2pi) radians))
  46. (define hms->h xms->x)
  47. (define h->hms x->xms)
  48. (define (hms->radians hms)
  49. (* 15 (dms->radians hms)))
  50. (define (radians->hms radians)
  51. (radians->dms (/ radians 15)))