| 1 | ;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*-
|
---|
| 2 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
|
---|
| 3 | ;;;
|
---|
| 4 | ;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
|
---|
| 5 | ;;;
|
---|
| 6 | ;;; This program is free software; you can redistribute it and/or modify
|
---|
| 7 | ;;; it under the terms of the GNU General Public License as published by
|
---|
| 8 | ;;; the Free Software Foundation; either version 2 of the License, or
|
---|
| 9 | ;;; (at your option) any later version.
|
---|
| 10 | ;;;
|
---|
| 11 | ;;; This program is distributed in the hope that it will be useful,
|
---|
| 12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
|
---|
| 13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
---|
| 14 | ;;; GNU General Public License for more details.
|
---|
| 15 | ;;;
|
---|
| 16 | ;;; You should have received a copy of the GNU General Public License
|
---|
| 17 | ;;; along with this program; if not, write to the Free Software
|
---|
| 18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
|
---|
| 19 | ;;;
|
---|
| 20 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
|
---|
| 21 |
|
---|
| 22 | (in-package :ngrobner)
|
---|
| 23 |
|
---|
| 24 |
|
---|
| 25 | (defun make-term-variable (ring nvars pos
|
---|
| 26 | &optional
|
---|
| 27 | (power 1)
|
---|
| 28 | (coeff (funcall (ring-unit ring)))
|
---|
| 29 | &aux
|
---|
| 30 | (monom (make-monom nvars :initial-element 0)))
|
---|
| 31 | (declare (fixnum nvars pos power))
|
---|
| 32 | (incf (monom-elt monom pos) power)
|
---|
| 33 | (make-term monom coeff))
|
---|
| 34 |
|
---|
| 35 | (defstruct (term
|
---|
| 36 | (:constructor make-term (monom coeff))
|
---|
| 37 | ;;(:constructor make-term-variable)
|
---|
| 38 | ;;(:type list)
|
---|
| 39 | )
|
---|
| 40 | (monom (make-monom 0) :type monom)
|
---|
| 41 | (coeff nil))
|
---|
| 42 |
|
---|
| 43 | (defun term-sugar (term)
|
---|
| 44 | (monom-sugar (term-monom term)))
|
---|
| 45 |
|
---|
| 46 | (defun termlist-sugar (p &aux (sugar -1))
|
---|
| 47 | (declare (fixnum sugar))
|
---|
| 48 | (dolist (term p sugar)
|
---|
| 49 | (setf sugar (max sugar (term-sugar term)))))
|
---|
| 50 |
|
---|
| 51 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
|
---|
| 52 | ;;
|
---|
| 53 | ;; Additional structure operations on a list of terms
|
---|
| 54 | ;;
|
---|
| 55 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
|
---|
| 56 |
|
---|
| 57 | (defun termlist-contract (p &optional (k 1))
|
---|
| 58 | "Eliminate first K variables from a polynomial P."
|
---|
| 59 | (mapcar #'(lambda (term) (make-term (monom-contract k (term-monom term))
|
---|
| 60 | (term-coeff term)))
|
---|
| 61 | p))
|
---|
| 62 |
|
---|
| 63 | (defun termlist-extend (p &optional (m (make-monom 1 :initial-element 0)))
|
---|
| 64 | "Extend every monomial in a polynomial P by inserting at the
|
---|
| 65 | beginning of every monomial the list of powers M."
|
---|
| 66 | (mapcar #'(lambda (term) (make-term (monom-append m (term-monom term))
|
---|
| 67 | (term-coeff term)))
|
---|
| 68 | p))
|
---|
| 69 |
|
---|
| 70 | (defun termlist-add-variables (p n)
|
---|
| 71 | "Add N variables to a polynomial P by inserting zero powers
|
---|
| 72 | at the beginning of each monomial."
|
---|
| 73 | (declare (fixnum n))
|
---|
| 74 | (mapcar #'(lambda (term)
|
---|
| 75 | (make-term (monom-append (make-monom n :initial-element 0)
|
---|
| 76 | (term-monom term))
|
---|
| 77 | (term-coeff term)))
|
---|
| 78 | p))
|
---|