[1] | 1 | head 1.3;
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| 2 | access;
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| 3 | symbols;
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| 4 | locks; strict;
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| 5 | comment @;;; @;
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| 6 |
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| 7 |
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| 8 | 1.3
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| 9 | date 2009.01.22.04.06.12; author marek; state Exp;
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| 10 | branches;
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| 11 | next 1.2;
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| 12 |
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| 13 | 1.2
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| 14 | date 2009.01.19.09.29.25; author marek; state Exp;
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| 15 | branches;
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| 16 | next 1.1;
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| 17 |
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| 18 | 1.1
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| 19 | date 2009.01.19.06.48.27; author marek; state Exp;
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| 20 | branches;
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| 21 | next ;
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| 22 |
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| 23 |
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| 24 | desc
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| 25 | @@
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| 26 |
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| 27 |
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| 28 | 1.3
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| 29 | log
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| 30 | @*** empty log message ***
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| 31 | @
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| 32 | text
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| 33 | @#|
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| 34 | $Id$
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| 35 | *--------------------------------------------------------------------------*
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| 36 | | Copyright (C) 1994, Marek Rychlik (e-mail: rychlik@@math.arizona.edu) |
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| 37 | | Department of Mathematics, University of Arizona, Tucson, AZ 85721 |
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| 38 | | |
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| 39 | | Everyone is permitted to copy, distribute and modify the code in this |
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| 40 | | directory, as long as this copyright note is preserved verbatim. |
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| 41 | *--------------------------------------------------------------------------*
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| 42 | |#
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| 43 | (defpackage "POLY-WITH-SUGAR"
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| 44 | (:export poly-with-sugar-poly
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| 45 | poly-with-sugar-tail
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| 46 | poly-with-sugar-sugar
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| 47 | monom-sugar
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| 48 | term-sugar
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| 49 | monom-times-poly-with-sugar
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| 50 | scalar-times-poly-with-sugar
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| 51 | term-times-poly-with-sugar
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| 52 | minus-poly-with-sugar
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| 53 | poly-with-sugar+
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| 54 | poly-with-sugar-
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| 55 | poly-with-sugar-op
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| 56 | poly-with-sugar-zerop
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| 57 | poly-with-sugar-nreverse
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| 58 | poly-with-sugar-append
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| 59 | poly-with-sugar-lm
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| 60 | poly-with-sugar-lc
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| 61 | poly-with-sugar-lt
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| 62 | poly-add-sugar)
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| 63 | (:use "ORDER" "MONOM" "TERM" "TERM" "POLY" "COEFFICIENT-RING" "COMMON-LISP"))
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| 64 |
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| 65 | (in-package "POLY-WITH-SUGAR")
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| 66 |
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| 67 | #+debug(proclaim '(optimize (speed 0) (debug 3)))
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| 68 | #-debug(proclaim '(optimize (speed 3) (debug 0)))
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| 69 |
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| 70 | ;;----------------------------------------------------------------
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| 71 | ;; BASIC OPERATIONS ON POLYNOMIALS of many variables WITH SUGAR
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| 72 | ;; Hybrid operations involving polynomials and monomials or terms
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| 73 | ;;----------------------------------------------------------------
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| 74 | ;; The representation is as follows:
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| 75 | ;;
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| 76 | ;; polynomial-with-sugar: (poly . sugar)
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| 77 | ;;
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| 78 | ;;----------------------------------------------------------------
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| 79 |
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| 80 | (eval-when (compile)
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| 81 | (proclaim '(inline poly-with-sugar-poly
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| 82 | poly-with-sugar-sugar
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| 83 | poly-with-sugar-tail)))
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| 84 |
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| 85 | (defun poly-with-sugar-poly (p) (car p))
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| 86 | (defun poly-with-sugar-sugar (p) (cdr p))
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| 87 | (defun poly-with-sugar-tail (p) (cons (cdar p) (cdr p)))
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| 88 |
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| 89 | (defsetf poly-with-sugar-poly (p) (poly)
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| 90 | `(setf (car ,p) ,poly))
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| 91 |
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| 92 | (defsetf poly-with-sugar-sugar (p) (sugar)
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| 93 | `(setf (cdr ,p) ,sugar))
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| 94 |
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| 95 | (defsetf poly-with-sugar-tail (p) (tail)
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| 96 | `(setf (cdar ,p) ,tail))
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| 97 |
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| 98 | ;;----------------------------------------------------------------
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| 99 | ;; Sugar of monomials and terms
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| 100 | ;; The total degree is used
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| 101 | ;;----------------------------------------------------------------
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| 102 | (defun monom-sugar (m)
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| 103 | (total-degree m))
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| 104 |
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| 105 | (defun coefficient-sugar (c ring)
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| 106 | (funcall (ring-length ring) c))
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| 107 |
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| 108 | (defun term-sugar (term ring)
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| 109 | (declare (ignore ring))
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| 110 | (monom-sugar (term-monom term)))
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| 111 |
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| 112 | ;;----------------------------------------------------------------
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| 113 | ;; Initialize sugar of an ordinary polynomial
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| 114 | ;;----------------------------------------------------------------
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| 115 | (defun poly-add-sugar (poly ring)
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| 116 | (cons poly
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| 117 | (apply #'max (mapcar #'(lambda (term) (term-sugar term ring)) poly))))
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| 118 |
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| 119 | ;; Multiplies scalar c by a polynomial p
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| 120 | (defun scalar-times-poly-with-sugar (c p ring)
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| 121 | (cons (scalar-times-poly c (poly-with-sugar-poly p) ring)
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| 122 | (poly-with-sugar-sugar p)))
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| 123 |
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| 124 | ;; Multiplies term m by a poly-with-sugar f
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| 125 | (defun term-times-poly-with-sugar (term f ring)
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| 126 | (cons (term-times-poly term (poly-with-sugar-poly f) ring)
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| 127 | (+ (poly-with-sugar-sugar f) (term-sugar term ring))))
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| 128 |
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| 129 | ;; Multiply a monom by a poly-with-sugarnomial
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| 130 | (defun monom-times-poly-with-sugar (m f)
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| 131 | (cons
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| 132 | (monom-times-poly m (poly-with-sugar-poly f))
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| 133 | (+ (poly-with-sugar-sugar f) (monom-sugar m))))
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| 134 |
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| 135 | ;; Changes the sign of the polynomial f with sugar
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| 136 | (defun minus-poly-with-sugar (f ring)
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| 137 | (cons
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| 138 | (minus-poly (poly-with-sugar-poly f) ring)
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| 139 | (poly-with-sugar-poly f)))
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| 140 |
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| 141 | ;; Addition and subtraction of polynomials with sugar
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| 142 | (defun poly-with-sugar+ (p q pred ring)
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| 143 | (cons
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| 144 | (poly+ (poly-with-sugar-poly p) (poly-with-sugar-poly q) pred ring)
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| 145 | (max (poly-with-sugar-sugar p) (poly-with-sugar-sugar q))))
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| 146 |
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| 147 | ;; Addition and subtraction of polynomials with sugar
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| 148 | (defun poly-with-sugar- (p q pred ring)
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| 149 | (cons
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| 150 | (poly- (poly-with-sugar-poly p) (poly-with-sugar-poly q) pred ring)
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| 151 | (max (poly-with-sugar-sugar p) (poly-with-sugar-sugar q))))
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| 152 |
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| 153 | ;; Implement f-term*g
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| 154 | (defun poly-with-sugar-op (f term g pred ring)
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| 155 | (poly-with-sugar- f (term-times-poly-with-sugar term g ring) pred ring))
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| 156 |
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| 157 |
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| 158 | (eval-when (compile)
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| 159 | (proclaim '(inline poly-with-sugar-nreverse poly-with-sugar-append
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| 160 | poly-with-sugar-zerop poly-with-sugar-lm
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| 161 | poly-with-sugar-lt poly-with-sugar-lc)))
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| 162 | ;; Destructively reverse the order of terms in a polynomial with sugar
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| 163 | (defun poly-with-sugar-nreverse (p)
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| 164 | (setf (poly-with-sugar-poly p) (nreverse (poly-with-sugar-poly p)))
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| 165 | p)
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| 166 |
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| 167 | ;; Append two polynomials with sugar, which are assumed to be
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| 168 | ;; sorted and all terms of q are smaller than terms of p
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| 169 | (defun poly-with-sugar-append (p q)
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| 170 | (cons (append (poly-with-sugar-poly p) (poly-with-sugar-poly q))
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| 171 | (max (poly-with-sugar-sugar p) (poly-with-sugar-sugar q))))
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| 172 |
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| 173 | (defun poly-with-sugar-zerop (p)
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| 174 | (poly-zerop (poly-with-sugar-poly p)))
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| 175 |
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| 176 | (defun poly-with-sugar-lm (p)
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| 177 | (lm (poly-with-sugar-poly p)))
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| 178 |
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| 179 | (defun poly-with-sugar-lc (p)
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| 180 | (lc (poly-with-sugar-poly p)))
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| 181 |
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| 182 | (defun poly-with-sugar-lt (p)
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| 183 | (lt (poly-with-sugar-poly p)))
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| 184 | @
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| 185 |
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| 186 |
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| 187 | 1.2
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| 188 | log
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| 189 | @*** empty log message ***
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| 190 | @
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| 191 | text
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| 192 | @d35 2
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| 193 | a36 2
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| 194 | ;;(proclaim '(optimize (speed 0) (debug 3)))
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| 195 | (proclaim '(optimize (speed 3) (debug 0)))
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| 196 | @
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| 197 |
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| 198 |
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| 199 | 1.1
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| 200 | log
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| 201 | @Initial revision
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| 202 | @
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| 203 | text
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| 204 | @d2 1
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| 205 | a2 1
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| 206 | $Id: poly-with-sugar.lisp,v 1.33 1997/11/28 23:26:18 marek Exp $
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| 207 | d35 2
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| 208 | a36 4
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| 209 | (eval-when (compile)
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| 210 | (proclaim '(optimize (speed 3) (safety 0)))
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| 211 | (proclaim '(inline monom-times-poly-with-sugar scalar-times-poly-with-sugar
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| 212 | term-times-poly-with-sugar minus-poly-with-sugar poly-with-sugar-op)))
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| 213 | @
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