lsmath.lsp

   1 ;;; -*- mode: lisp -*-
   2 ;;; Copyright (c) 2005--2007, by A.J. Rossini <blindglobe@gmail.com>
   3 ;;; See COPYRIGHT file for any additional restrictions (BSD license).
   4 ;;; Since 1991, ANSI was finally finished.  Edited for ANSI Common Lisp.
   5
   6 ;;;; lsmath -- Install vectorized arithmetic functions
   7 ;;;;
   8 ;;;; Copyright (c) 1991, by Luke Tierney. Permission is granted for
   9 ;;;; unrestricted use.
  10
  11 ;;; Package Setup
  12
  13 (in-package :cl-user)
  14
  15 (defpackage :lisp-stat-math
  16    (:use :common-lisp
  17          :lisp-stat-object-system
  18          :lisp-stat-macros
  19          :lisp-stat-compound-data
  20          :lisp-stat-float)
  21    (:shadowing-import-from :lisp-stat-object-system
  22                            slot-value call-method call-next-method)
  23    (:shadow expt + - * / ** mod rem abs 1+ 1- log exp sqrt sin cos tan
  24            asin acos atan sinh cosh tanh asinh acosh atanh float random
  25            truncate floor ceiling round minusp zerop plusp evenp oddp
  26            < <= = /= >= > complex conjugate realpart imagpart phase
  27            min max logand logior logxor lognot ffloor fceiling
  28            ftruncate fround signum cis)
  29    (:export ^ ** expt + - * / mod rem pmin pmax abs 1+ 1- log exp sqrt sin cos
  30            tan asin acos atan sinh cosh tanh asinh acosh atanh float random
  31            truncate floor ceiling round minusp zerop plusp evenp oddp < <= =
  32            /= >= > complex conjugate realpart imagpart phase min max
  33            logand logior logxor lognot ffloor fceiling ftruncate fround
  34            signum cis)
  35    (:documentation "Vectorization of numerical functions"))
  36
  37 (in-package :lisp-stat-math)
  38
  39 ;;; Patch up some type definitions
  40
  41 (deftype float () 'common-lisp:float)
  42 (deftype complex () 'common-lisp:complex)
  43
  44 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
  45 ;;;
  46 ;;; Install the vectorized math functions
  47 ;;;
  48 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
  49
  50 (make-rv-function ^ base-expt x y)
  51 (make-rv-function ** base-expt x y)
  52 (make-rv-function expt base-expt x y)
  53
  54 (make-rv-function + common-lisp:+)
  55 (make-rv-function-1 - common-lisp:-)
  56 (make-rv-function * common-lisp:*)
  57 (make-rv-function-1 / common-lisp:/)
  58 (make-rv-function mod common-lisp:mod x y)
  59 (make-rv-function rem common-lisp:rem x y)
  60 (make-rv-function-1 pmin common-lisp:min)
  61 (make-rv-function-1 pmax common-lisp:max)
  62 (make-rv-function abs base-abs x)
  63 (make-rv-function 1+ common-lisp:1+ x)
  64 (make-rv-function 1- common-lisp:1- x)
  65
  66 (make-rv-function-1 log base-log)
  67 (make-rv-function exp base-exp x)
  68 (make-rv-function sqrt base-sqrt x)
  69
  70 (make-rv-function sin base-sin x)
  71 (make-rv-function cos base-cos x)
  72 (make-rv-function tan base-tan x)
  73 (make-rv-function asin base-asin x)
  74 (make-rv-function acos base-acos x)
  75 (make-rv-function-1 atan base-atan)
  76 (make-rv-function sinh base-sinh x)
  77 (make-rv-function cosh base-cosh x)
  78 (make-rv-function tanh base-tanh x)
  79 (make-rv-function asinh base-asinh x)
  80 (make-rv-function acosh base-acosh x)
  81 (make-rv-function atanh base-atanh x)
  82
  83 (make-rv-function-1 float base-float)
  84 (make-rv-function-1 random common-lisp:random)
  85
  86 (make-rv-function-1 floor common-lisp:floor)
  87 (make-rv-function-1 ceiling common-lisp:ceiling)
  88 (make-rv-function-1 truncate common-lisp:truncate)
  89 (make-rv-function-1 round common-lisp:round)
  90
  91 (make-rv-function zerop common-lisp:zerop x)
  92 (make-rv-function plusp common-lisp:plusp x)
  93 (make-rv-function minusp common-lisp:minusp x)
  94 (make-rv-function oddp common-lisp:oddp x)
  95 (make-rv-function evenp common-lisp:evenp x)
  96
  97 (make-rv-function-1 < common-lisp:<)
  98 (make-rv-function-1 <= common-lisp:<=)
  99 (make-rv-function-1 = common-lisp:=)
 100 (make-rv-function-1 /= common-lisp:/=)
 101 (make-rv-function-1 >= common-lisp:>=)
 102 (make-rv-function-1 > common-lisp:>)
 103
 104 (make-rv-function-1 complex common-lisp:complex)
 105 (make-rv-function realpart common-lisp:realpart x)
 106 (make-rv-function imagpart common-lisp:imagpart x)
 107 (make-rv-function conjugate common-lisp:conjugate x)
 108 (make-rv-function phase base-phase x)
 109
 110 (defun min-1 (x)
 111   (if (numberp x)
 112     x
 113     (let* ((seq (compound-data-seq x))
 114            (first (elt seq 0))
 115            (result (if (numberp first) first (min-1 first))))
 116       (if (consp seq)
 117         (dolist (x (rest seq) result)
 118           (let ((r (if (numberp x) x (min-1 x))))
 119             (if (common-lisp:< r result) (setf result r))))
 120         (let ((n (length seq)))
 121           (declare (fixnum n))
 122           (dotimes (i n result)
 123             (declare (fixnum i))
 124             (let* ((x (aref seq i))
 125                    (r (if (numberp x) x (min-1 x))))
 126               (if (common-lisp:< r result) (setf result r)))))))))
 127
 128 (defun min (x &optional (y nil has-y) &rest args)
 129   (if (and (null args) (numberp x) (numberp y))
 130     (common-lisp:min x y)
 131     (if has-y (min-1 (cons x (cons y args))) (min-1 x))))
 132
 133 (defun max-1 (x)
 134   (if (numberp x)
 135     x
 136     (let* ((seq (compound-data-seq x))
 137            (first (elt seq 0))
 138            (result (if (numberp first) first (max-1 first))))
 139       (if (consp seq)
 140         (dolist (x (rest seq) result)
 141           (let ((r (if (numberp x) x (max-1 x))))
 142             (if (common-lisp:> r result) (setf result r))))
 143         (let ((n (length seq)))
 144           (declare (fixnum n))
 145           (dotimes (i n result)
 146             (declare (fixnum i))
 147             (let* ((x (aref seq i))
 148                    (r (if (numberp x) x (max-1 x))))
 149               (if (common-lisp:> r result) (setf result r)))))))))
 150
 151 (defun max (x &optional (y nil has-y) &rest args)
 152   (if (and (null args) (numberp x) (numberp y))
 153     (common-lisp:max x y)
 154     (if has-y (max-1 (cons x (cons y args))) (max-1 x))))
 155
 156 (make-rv-function logand common-lisp:logand)
 157 (make-rv-function logior common-lisp:logior)
 158 (make-rv-function logxor common-lisp:logxor)
 159 (make-rv-function lognot common-lisp:lognot x)
 160
 161 (make-rv-function-1 ffloor base-ffloor)
 162 (make-rv-function-1 fceiling base-fceiling)
 163 (make-rv-function-1 ftruncate base-ftruncate)
 164 (make-rv-function-1 fround base-fround)
 165 (make-rv-function signum base-signum x)
 166 (make-rv-function cis base-cis x)