| 1 | ;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*-
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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 |
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| 23 | ;; Macros for making lists with iterators - an exammple of GENSYM
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| 24 | ;; MAKELIST-1 makes a list with one iterator, while MAKELIST accepts an
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| 25 | ;; arbitrary number of iterators
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| 26 |
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| 27 | ;; Sample usage:
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| 28 | ;; Without a step:
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| 29 | ;; >(makelist-1 (* 2 i) i 0 10)
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| 30 | ;; (0 2 4 6 8 10 12 14 16 18 20)
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| 31 | ;; With a step of 3:
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| 32 | ;; >(makelist-1 (* 2 i) i 0 10 3)
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| 33 | ;; (0 6 12 18)
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| 34 |
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| 35 | ;; Generate sums of squares of numbers between 1 and 4:
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| 36 | ;; >(makelist (+ (* i i) (* j j)) (i 1 4) (j 1 i))
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| 37 | ;; (2 5 8 10 13 18 17 20 25 32)
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| 38 | ;; >(makelist (list i j '---> (+ (* i i) (* j j))) (i 1 4) (j 1 i))
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| 39 | ;; ((1 1 ---> 2) (2 1 ---> 5) (2 2 ---> 8) (3 1 ---> 10) (3 2 ---> 13)
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| 40 | ;; (3 3 ---> 18) (4 1 ---> 17) (4 2 ---> 20) (4 3 ---> 25) (4 4 ---> 32))
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| 41 |
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| 42 | ;; Evaluate expression expr with variable set to lo, lo+1,... ,hi
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| 43 | ;; and put the results in a list.
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| 44 | (defmacro makelist-1 (expr var lo hi &optional (step 1))
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| 45 | (let ((l (gensym)))
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| 46 | `(do ((,var ,lo (+ ,var ,step))
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| 47 | (,l nil (cons ,expr ,l)))
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| 48 | ((> ,var ,hi) (reverse ,l))
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| 49 | (declare (fixnum ,var)))))
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| 50 |
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| 51 | (defmacro makelist (expr (var lo hi &optional (step 1)) &rest more)
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| 52 | (if (endp more)
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| 53 | `(makelist-1 ,expr ,var ,lo ,hi ,step)
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| 54 | (let* ((l (gensym)))
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| 55 | `(do ((,var ,lo (+ ,var ,step))
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| 56 | (,l nil (nconc ,l `,(makelist ,expr ,@more))))
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| 57 | ((> ,var ,hi) ,l)
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| 58 | (declare (fixnum ,var))))))
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