- Timestamp:
- 2015-06-07T00:06:23-07:00 (9 years ago)
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branches/f4grobner/mx-grobner.lisp
r578 r615 100 100 *ratdisrep-fun* '$ratdisrep ; Coefficients are converted to general form 101 101 ) 102 103 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;104 ;;105 ;; Maxima expression parsing106 ;;107 ;;108 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;109 ;;110 ;; Functions and macros dealing with internal representation111 ;; structure.112 ;;113 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;114 115 (defun equal-test-p (expr1 expr2)116 (alike1 expr1 expr2))117 118 (defun coerce-maxima-list (expr)119 "Convert a Maxima list to Lisp list."120 (cond121 ((and (consp (car expr)) (eql (caar expr) 'mlist)) (cdr expr))122 (t expr)))123 124 (defun free-of-vars (expr vars) (apply #'$freeof `(,@vars ,expr)))125 126 (defun parse-poly (expr vars &aux (vars (coerce-maxima-list vars)))127 "Convert a maxima polynomial expression EXPR in variables VARS to internal form."128 (labels ((parse (arg) (parse-poly arg vars))129 (parse-list (args) (mapcar #'parse args)))130 (cond131 ((eql expr 0) (make-poly-zero))132 ((member expr vars :test #'equal-test-p)133 (let ((pos (position expr vars :test #'equal-test-p)))134 (make-variable *expression-ring* (length vars) pos)))135 ((free-of-vars expr vars)136 ;;This means that variable-free CRE and Poisson forms will be converted137 ;;to coefficients intact138 (coerce-coeff *expression-ring* expr vars))139 (t140 (case (caar expr)141 (mplus (reduce #'(lambda (x y) (poly-add *expression-ring* x y)) (parse-list (cdr expr))))142 (mminus (poly-uminus *expression-ring* (parse (cadr expr))))143 (mtimes144 (if (endp (cddr expr)) ;unary145 (parse (cdr expr))146 (reduce #'(lambda (p q) (poly-mul *expression-ring* p q)) (parse-list (cdr expr)))))147 (mexpt148 (cond149 ((member (cadr expr) vars :test #'equal-test-p)150 ;;Special handling of (expt var pow)151 (let ((pos (position (cadr expr) vars :test #'equal-test-p)))152 (make-variable *expression-ring* (length vars) pos (caddr expr))))153 ((not (and (integerp (caddr expr)) (plusp (caddr expr))))154 ;; Negative power means division in coefficient ring155 ;; Non-integer power means non-polynomial coefficient156 (mtell "~%Warning: Expression ~%~M~%contains power which is not a positive integer. Parsing as coefficient.~%"157 expr)158 (coerce-coeff *expression-ring* expr vars))159 (t (poly-expt *expression-ring* (parse (cadr expr)) (caddr expr)))))160 (mrat (parse ($ratdisrep expr)))161 (mpois (parse ($outofpois expr)))162 (otherwise163 (coerce-coeff *expression-ring* expr vars)))))))164 165 (defun parse-poly-list (expr vars)166 "Parse a Maxima representation of a list of polynomials."167 (case (caar expr)168 (mlist (mapcar #'(lambda (p) (parse-poly p vars)) (cdr expr)))169 (t (merror "Expression ~M is not a list of polynomials in variables ~M."170 expr vars))))171 172 (defun parse-poly-list-list (poly-list-list vars)173 "Parse a Maxima representation of a list of lists of polynomials."174 (mapcar #'(lambda (g) (parse-poly-list g vars)) (coerce-maxima-list poly-list-list)))175 102 176 103
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