| 1 | ;;; -*- Mode: Lisp -*-
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| 2 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 3 | ;;;
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| 4 | ;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
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| 5 | ;;;
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| 6 | ;;; This program is free software; you can redistribute it and/or modify
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| 7 | ;;; it under the terms of the GNU General Public License as published by
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| 8 | ;;; the Free Software Foundation; either version 2 of the License, or
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| 9 | ;;; (at your option) any later version.
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| 10 | ;;;
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| 11 | ;;; This program is distributed in the hope that it will be useful,
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| 12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 14 | ;;; GNU General Public License for more details.
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| 15 | ;;;
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| 16 | ;;; You should have received a copy of the GNU General Public License
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| 17 | ;;; along with this program; if not, write to the Free Software
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| 18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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| 19 | ;;;
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| 20 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 21 |
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| 22 | (in-package :ngrobner)
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| 23 |
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| 24 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 25 | ;;
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| 26 | ;; Global switches
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| 27 | ;;
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| 28 | ;; Can be used in Maxima just fine, as they observe the
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| 29 | ;; Maxima naming convention, i.e. all names visible at the
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| 30 | ;; Maxima toplevel begin with a '$'.
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| 31 | ;;
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| 32 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 33 |
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| 34 | (defvar $poly_monomial_order '$lex
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| 35 | "This switch controls which monomial order is used in polynomial
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| 36 | and Grobner basis calculations. If not set, LEX will be used")
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| 37 |
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| 38 | (defvar $poly_coefficient_ring '$expression_ring
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| 39 | "This switch indicates the coefficient ring of the polynomials
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| 40 | that will be used in grobner calculations. If not set, Maxima's
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| 41 | general expression ring will be used. This variable may be set
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| 42 | to RING_OF_INTEGERS if desired.")
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| 43 |
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| 44 | (defvar $poly_primary_elimination_order nil
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| 45 | "Name of the default order for eliminated variables in elimination-based functions.
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| 46 | If not set, LEX will be used.")
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| 47 |
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| 48 | (defvar $poly_secondary_elimination_order nil
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| 49 | "Name of the default order for kept variables in elimination-based functions.
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| 50 | If not set, LEX will be used.")
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| 51 |
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| 52 | (defvar $poly_elimination_order nil
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| 53 | "Name of the default elimination order used in elimination calculations.
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| 54 | If set, it overrides the settings in variables POLY_PRIMARY_ELIMINATION_ORDER
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| 55 | and SECONDARY_ELIMINATION_ORDER. The user must ensure that this is a true
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| 56 | elimination order valid for the number of eliminated variables.")
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| 57 |
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| 58 | (defvar $poly_return_term_list nil
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| 59 | "If set to T, all functions in this package will return each polynomial as a
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| 60 | list of terms in the current monomial order rather than a Maxima general expression.")
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| 61 |
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| 62 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 63 | ;;
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| 64 | ;; Conversion from internal to infix form
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| 65 | ;;
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| 66 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 67 |
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| 68 | (defun coerce-to-infix (poly-type object vars)
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| 69 | "Write a polynomial, polynomial list, termlist term
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| 70 | in infix form, using variables VARS. Can be used to display
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| 71 | an internal form polynomial more readably."
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| 72 | (case poly-type
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| 73 | (:termlist
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| 74 | `(+ ,@(mapcar #'(lambda (term) (coerce-to-infix :term term vars)) object)))
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| 75 | (:polynomial
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| 76 | (coerce-to-infix :termlist (poly-termlist object) vars))
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| 77 | (:poly-list
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| 78 | `([ ,@(mapcar #'(lambda (p) (coerce-to-infix :polynomial p vars)) object)))
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| 79 | (:term
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| 80 | `(* ,(term-coeff object)
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| 81 | ,@(mapcar #'(lambda (var power) `(expt ,var ,power))
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| 82 | vars (coerce (term-monom object) 'list))))
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| 83 | (otherwise
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| 84 | object)))
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