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1 ;;; mpuz.el --- multiplication puzzle for XEmacs
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2
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3 ;;; Copyright (C) 1990 Free Software Foundation, Inc.
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4
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5 ;; Author: Philippe Schnoebelen <phs@lifia.imag.fr>
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6 ;; Keywords: games
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7
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8 ;; This file is part of XEmacs.
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9
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10 ;; XEmacs is free software; you can redistribute it and/or modify it
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11 ;; under the terms of the GNU General Public License as published by
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12 ;; the Free Software Foundation; either version 2, or (at your option)
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13 ;; any later version.
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14
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15 ;; XEmacs is distributed in the hope that it will be useful, but
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16 ;; WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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18 ;; General Public License for more details.
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19
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20 ;; You should have received a copy of the GNU General Public License
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21 ;; along with XEmacs; see the file COPYING. If not, write to the Free
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22 ;; Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
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23
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24 ;;; Synched up with: FSF 19.30.
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25
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26 ;;; Commentary:
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27
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28 ;; When this package is loaded, `M-x mpuz' generates a random multiplication
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29 ;; puzzle. This is a multiplication example in which each digit has been
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30 ;; consistently replaced with some letter. Your job is to reconstruct
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31 ;; the original digits. Type `?' while the mode is active for detailed help.
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32
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33 ;;; Code:
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34
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35 (random t) ; randomize
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36
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37 (defvar mpuz-silent nil
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38 "*Set this to T if you don't want dings on inputs.")
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39
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40 (defun mpuz-ding ()
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41 "Dings, unless global variable `mpuz-silent' forbids it."
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42 (or mpuz-silent (ding t)))
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43
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44
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45 ;; Mpuz mode and keymaps
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46 ;;----------------------
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47 (defvar mpuz-mode-hook nil)
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48
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49 (defvar mpuz-mode-map nil
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50 "Local keymap to use in Mult Puzzle.")
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51
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52 (if mpuz-mode-map nil
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53 (setq mpuz-mode-map (make-sparse-keymap))
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54 (define-key mpuz-mode-map "a" 'mpuz-try-letter)
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55 (define-key mpuz-mode-map "b" 'mpuz-try-letter)
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56 (define-key mpuz-mode-map "c" 'mpuz-try-letter)
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57 (define-key mpuz-mode-map "d" 'mpuz-try-letter)
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58 (define-key mpuz-mode-map "e" 'mpuz-try-letter)
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59 (define-key mpuz-mode-map "f" 'mpuz-try-letter)
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60 (define-key mpuz-mode-map "g" 'mpuz-try-letter)
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61 (define-key mpuz-mode-map "h" 'mpuz-try-letter)
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62 (define-key mpuz-mode-map "i" 'mpuz-try-letter)
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63 (define-key mpuz-mode-map "j" 'mpuz-try-letter)
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64 (define-key mpuz-mode-map "A" 'mpuz-try-letter)
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65 (define-key mpuz-mode-map "B" 'mpuz-try-letter)
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66 (define-key mpuz-mode-map "C" 'mpuz-try-letter)
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67 (define-key mpuz-mode-map "D" 'mpuz-try-letter)
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68 (define-key mpuz-mode-map "E" 'mpuz-try-letter)
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69 (define-key mpuz-mode-map "F" 'mpuz-try-letter)
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70 (define-key mpuz-mode-map "G" 'mpuz-try-letter)
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71 (define-key mpuz-mode-map "H" 'mpuz-try-letter)
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72 (define-key mpuz-mode-map "I" 'mpuz-try-letter)
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73 (define-key mpuz-mode-map "J" 'mpuz-try-letter)
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74 (define-key mpuz-mode-map "\C-g" 'mpuz-offer-abort)
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75 (define-key mpuz-mode-map "?" 'describe-mode))
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76
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77 (defun mpuz-mode ()
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78 "Multiplication puzzle mode.
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79
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80 You have to guess which letters stand for which digits in the
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81 multiplication displayed inside the `*Mult Puzzle*' buffer.
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82
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83 You may enter a guess for a letter's value by typing first the letter,
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84 then the digit. Thus, to guess that A=3, type A 3.
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85
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86 To leave the game to do other editing work, just switch buffers.
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87 Then you may resume the game with M-x mpuz.
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88 You may abort a game by typing \\<mpuz-mode-map>\\[mpuz-offer-abort]."
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89 (interactive)
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90 (setq major-mode 'mpuz-mode
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91 mode-name "Mult Puzzle")
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92 (use-local-map mpuz-mode-map)
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93 (run-hooks 'mpuz-mode-hook))
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94
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95
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96 ;; Some variables for statistics
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97 ;;------------------------------
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98 (defvar mpuz-nb-errors 0
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99 "Number of errors made in current game.")
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100
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101 (defvar mpuz-nb-completed-games 0
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102 "Number of games completed.")
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103
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104 (defvar mpuz-nb-cumulated-errors 0
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105 "Number of errors made in previous games.")
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106
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107
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108 ;; Some variables for game tracking
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109 ;;---------------------------------
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110 (defvar mpuz-in-progress nil
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111 "True if a game is currently in progress.")
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112
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113 (defvar mpuz-found-digits (make-vector 10 nil)
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114 "A vector recording which digits have been decrypted.")
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115
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116 (defmacro mpuz-digit-solved-p (digit)
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117 (list 'aref 'mpuz-found-digits digit))
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118
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119
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120 ;; A puzzle uses a permutation of [0..9] into itself.
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121 ;; We use both the permutation and its inverse.
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122 ;;---------------------------------------------------
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123 (defvar mpuz-digit-to-letter (make-vector 10 0)
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124 "A permutation from [0..9] to [0..9].")
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125
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126 (defvar mpuz-letter-to-digit (make-vector 10 0)
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127 "The inverse of mpuz-digit-to-letter.")
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128
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129 (defmacro mpuz-to-digit (letter)
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130 (list 'aref 'mpuz-letter-to-digit letter))
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131
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132 (defmacro mpuz-to-letter (digit)
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133 (list 'aref 'mpuz-digit-to-letter digit))
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134
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135 (defun mpuz-build-random-perm ()
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136 "Initialize puzzle coding with a random permutation."
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137 (let ((letters (list 0 1 2 3 4 5 6 7 8 9)) ; new cons cells, because of delq
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138 (index 10)
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139 elem)
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140 (while letters
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141 (setq elem (nth (random index) letters)
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142 letters (delq elem letters)
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143 index (1- index))
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144 (aset mpuz-digit-to-letter index elem)
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145 (aset mpuz-letter-to-digit elem index))))
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146
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147
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148 ;; A puzzle also uses a board displaying a multiplication.
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149 ;; Every digit appears in the board, crypted or not.
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150 ;;------------------------------------------------------
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151 (defvar mpuz-board (make-vector 10 nil)
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152 "The board associates to any digit the list of squares where it appears.")
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153
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154 (defun mpuz-put-digit-on-board (number square)
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155 "Put (last digit of) NUMBER on SQUARE of the puzzle board."
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156 ;; i.e. push SQUARE on NUMBER square-list
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157 (setq number (% number 10))
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158 (aset mpuz-board number (cons square (aref mpuz-board number))))
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159
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160 (defun mpuz-check-all-solved ()
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161 "Check whether all digits have been solved. Return t if yes."
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162 (catch 'found
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163 (let ((digit -1))
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164 (while (> 10 (setq digit (1+ digit)))
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165 (if (and (not (mpuz-digit-solved-p digit)) ; unsolved
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166 (aref mpuz-board digit)) ; and appearing in the puzzle !
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167 (throw 'found nil))))
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168 t))
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169
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170
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171 ;; To build a puzzle, we take two random numbers and multiply them.
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172 ;; We also take a random permutation for encryption.
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173 ;; The random numbers are only use to see which digit appears in which square
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174 ;; of the board. Everything is stored in individual squares.
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175 ;;---------------------------------------------------------------------------
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176 (defun mpuz-random-puzzle ()
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177 "Draw random values to be multiplied in a puzzle."
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178 (mpuz-build-random-perm)
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179 (fillarray mpuz-board nil) ; erase the board
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180 (let (A B C D E)
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181 ;; A,B,C,D & E, are the five rows of our multiplication.
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182 ;; Choose random values, discarding uninteresting cases.
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183 (while (progn
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184 (setq A (random 1000)
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185 B (random 100)
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186 C (* A (% B 10))
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187 D (* A (/ B 10))
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188 E (* A B))
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189 (or (< C 1000) (< D 1000)))) ; forbid leading zeros in C or D
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190 ;; Individual digits are now put on their respectives squares.
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191 ;; [NB: A square is a pair <row,column> of the screen.]
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192 (mpuz-put-digit-on-board A '(2 . 9))
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193 (mpuz-put-digit-on-board (/ A 10) '(2 . 7))
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194 (mpuz-put-digit-on-board (/ A 100) '(2 . 5))
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195 (mpuz-put-digit-on-board B '(4 . 9))
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196 (mpuz-put-digit-on-board (/ B 10) '(4 . 7))
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197 (mpuz-put-digit-on-board C '(6 . 9))
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198 (mpuz-put-digit-on-board (/ C 10) '(6 . 7))
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199 (mpuz-put-digit-on-board (/ C 100) '(6 . 5))
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200 (mpuz-put-digit-on-board (/ C 1000) '(6 . 3))
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201 (mpuz-put-digit-on-board D '(8 . 7))
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202 (mpuz-put-digit-on-board (/ D 10) '(8 . 5))
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203 (mpuz-put-digit-on-board (/ D 100) '(8 . 3))
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204 (mpuz-put-digit-on-board (/ D 1000) '(8 . 1))
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205 (mpuz-put-digit-on-board E '(10 . 9))
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206 (mpuz-put-digit-on-board (/ E 10) '(10 . 7))
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207 (mpuz-put-digit-on-board (/ E 100) '(10 . 5))
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208 (mpuz-put-digit-on-board (/ E 1000) '(10 . 3))
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209 (mpuz-put-digit-on-board (/ E 10000) '(10 . 1))))
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210
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211 ;; Display
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212 ;;--------
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213 (defconst mpuz-framework
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214 "
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215 . . .
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216 Number of errors (this game): 0
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217 x . .
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218 -------
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219 . . . .
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220 Number of completed games: 0
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221 . . . .
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222 --------- Average number of errors: 0.00
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223 . . . . ."
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224 "The general picture of the puzzle screen, as a string.")
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225
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226 (defun mpuz-create-buffer ()
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227 "Create (or recreate) the puzzle buffer. Return it."
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228 (let ((buff (get-buffer-create "*Mult Puzzle*")))
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229 (save-excursion
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230 (set-buffer buff)
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231 (let ((buffer-read-only nil))
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232 (erase-buffer)
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233 (insert mpuz-framework)
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234 (mpuz-paint-board)
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235 (mpuz-paint-errors)
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236 (mpuz-paint-statistics)))
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237 buff))
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238
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239 (defun mpuz-paint-errors ()
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240 "Paint error count on the puzzle screen."
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241 (mpuz-switch-to-window)
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242 (let ((buffer-read-only nil))
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243 (goto-line 3)
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244 (move-to-column 49)
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245 (mpuz-delete-line)
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246 (insert (prin1-to-string mpuz-nb-errors))))
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247
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248 (defun mpuz-paint-statistics ()
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249 "Paint statistics about previous games on the puzzle screen."
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250 (let* ((mean (if (zerop mpuz-nb-completed-games) 0
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251 (/ (+ mpuz-nb-completed-games (* 200 mpuz-nb-cumulated-errors))
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252 (* 2 mpuz-nb-completed-games))))
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253 (frac-part (% mean 100)))
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254 (let ((buffer-read-only nil))
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255 (goto-line 7)
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256 (move-to-column 51)
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257 (mpuz-delete-line)
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258 (insert (prin1-to-string mpuz-nb-completed-games))
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259 (goto-line 9)
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260 (move-to-column 50)
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261 (mpuz-delete-line)
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262 (insert (format "%d.%d%d" (/ mean 100) (/ frac-part 10) (% frac-part 10))))))
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263
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264 (defun mpuz-paint-board ()
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265 "Paint board situation on the puzzle screen."
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266 (mpuz-switch-to-window)
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267 (let ((letter -1))
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268 (while (> 10 (setq letter (1+ letter)))
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269 (mpuz-paint-digit (mpuz-to-digit letter))))
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270 (goto-char (point-min)))
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271
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272 (defun mpuz-paint-digit (digit)
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273 "Paint all occurrences of DIGIT on the puzzle board."
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274 ;; (mpuz-switch-to-window)
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275 (let ((char (if (mpuz-digit-solved-p digit)
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276 (+ digit ?0)
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277 (+ (mpuz-to-letter digit) ?A)))
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278 (square-l (aref mpuz-board digit)))
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279 (let ((buffer-read-only nil))
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280 (while square-l
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281 (goto-line (car (car square-l))) ; line before column !
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282 (move-to-column (cdr (car square-l)))
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283 (insert char)
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284 (delete-char 1)
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285 (backward-char 1)
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286 (setq square-l (cdr square-l))))))
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287
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288 (defun mpuz-delete-line ()
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289 "Clear from point to next newline." ; & put nothing in the kill ring
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290 (while (not (= ?\n (char-after (point))))
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291 (delete-char 1)))
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292
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293 (defun mpuz-get-buffer ()
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294 "Get the puzzle buffer if it exists."
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295 (get-buffer "*Mult Puzzle*"))
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296
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297 (defun mpuz-switch-to-window ()
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298 "Find or create the Mult-Puzzle buffer, and display it."
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299 (let ((buff (mpuz-get-buffer)))
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300 (or buff (setq buff (mpuz-create-buffer)))
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301 (switch-to-buffer buff)
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302 (or buffer-read-only (toggle-read-only))
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303 (mpuz-mode)))
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304
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305
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306 ;; Game control
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307 ;;-------------
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308 (defun mpuz-abort-game ()
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309 "Abort any puzzle in progress."
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310 (message "Mult Puzzle aborted.")
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311 (setq mpuz-in-progress nil
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312 mpuz-nb-errors 0)
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313 (fillarray mpuz-board nil)
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314 (let ((buff (mpuz-get-buffer)))
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315 (if buff (kill-buffer buff))))
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316
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317 (defun mpuz-start-new-game ()
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318 "Start a new puzzle."
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319 (message "Here we go...")
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320 (setq mpuz-nb-errors 0
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321 mpuz-in-progress t)
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322 (fillarray mpuz-found-digits nil) ; initialize mpuz-found-digits
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323 (mpuz-random-puzzle)
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324 (mpuz-switch-to-window)
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325 (mpuz-paint-board)
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326 (mpuz-paint-errors)
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327 (mpuz-ask-for-try))
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328
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329 (defun mpuz-offer-new-game ()
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330 "Ask if user wants to start a new puzzle."
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331 (if (y-or-n-p "Start a new game ")
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332 (mpuz-start-new-game)
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333 (message "OK. I won't.")))
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334
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335 ;;;###autoload
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336 (defun mpuz ()
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337 "Multiplication puzzle with GNU Emacs."
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338 ;; Main entry point
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339 (interactive)
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340 (mpuz-switch-to-window)
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341 (if mpuz-in-progress
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342 (mpuz-offer-abort)
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343 (mpuz-start-new-game)))
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344
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345 (defun mpuz-offer-abort ()
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346 "Ask if user wants to abort current puzzle."
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347 (interactive)
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348 (if (y-or-n-p "Abort game ")
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349 (mpuz-abort-game)
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350 (mpuz-ask-for-try)))
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351
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352 (defun mpuz-ask-for-try ()
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353 "Ask for user proposal in puzzle."
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354 (message "Your try ?"))
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355
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356 (defun mpuz-try-letter ()
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357 "Propose a digit for a letter in puzzle."
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358 (interactive)
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359 (if mpuz-in-progress
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360 (let (letter-char digit digit-char message)
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361 (setq letter-char (upcase last-command-char)
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362 digit (mpuz-to-digit (- letter-char ?A)))
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363 (cond ((mpuz-digit-solved-p digit)
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364 (message "%c already solved." letter-char))
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365 ((null (aref mpuz-board digit))
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366 (message "%c does not appear." letter-char))
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367 ((progn (message "%c = " letter-char)
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368 ;; <char> has been entered.
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369 ;; Print "<char> =" and
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370 ;; read <num> or = <num>
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371 (setq digit-char (read-char))
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372 (if (eq digit-char ?=)
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373 (setq digit-char (read-char)))
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374 (message "%c = %c" letter-char digit-char)
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375 (or (> digit-char ?9) (< digit-char ?0))) ; bad input
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376 (ding t))
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377 (t
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378 (mpuz-try-proposal letter-char digit-char))))
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379 (mpuz-offer-new-game)))
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380
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381 (defun mpuz-try-proposal (letter-char digit-char)
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382 "Propose LETTER-CHAR as code for DIGIT-CHAR."
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383 (let* ((letter (- letter-char ?A))
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384 (digit (- digit-char ?0))
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385 (correct-digit (mpuz-to-digit letter)))
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386 (cond ((mpuz-digit-solved-p correct-digit)
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387 (message "%c has already been found."))
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388 ((= digit correct-digit)
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389 (message "%c = %c correct !" letter-char digit-char)
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390 (mpuz-ding)
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391 (mpuz-correct-guess digit))
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392 (t ;;; incorrect guess
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393 (message "%c = %c incorrect !" letter-char digit-char)
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394 (mpuz-ding)
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395 (setq mpuz-nb-errors (1+ mpuz-nb-errors))
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396 (mpuz-paint-errors)))))
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397
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398 (defun mpuz-correct-guess (digit)
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399 "Handle correct guessing of DIGIT."
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400 (aset mpuz-found-digits digit t) ; Mark digit as solved
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401 (mpuz-paint-digit digit) ; Repaint it (now as a digit)
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402 (if (mpuz-check-all-solved)
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403 (mpuz-close-game)))
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404
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405 (defun mpuz-close-game ()
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406 "Housecleaning when puzzle has been solved."
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407 (setq mpuz-in-progress nil
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408 mpuz-nb-cumulated-errors (+ mpuz-nb-cumulated-errors mpuz-nb-errors)
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409 mpuz-nb-completed-games (1+ mpuz-nb-completed-games))
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410 (mpuz-paint-statistics)
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411 (let ((message (mpuz-congratulate)))
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412 (message message)
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413 (sit-for 4)
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414 (if (y-or-n-p (concat message " Start a new game "))
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415 (mpuz-start-new-game)
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416 (message "Good Bye !"))))
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417
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418 (defun mpuz-congratulate ()
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419 "Build a congratulation message when puzzle is solved."
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420 (format "Puzzle solved with %d errors. %s"
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421 mpuz-nb-errors
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422 (cond ((= mpuz-nb-errors 0) "That's perfect !")
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423 ((= mpuz-nb-errors 1) "That's very good !")
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424 ((= mpuz-nb-errors 2) "That's good.")
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425 ((= mpuz-nb-errors 3) "That's not bad.")
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426 ((= mpuz-nb-errors 4) "That's not too bad...")
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427 ((and (>= mpuz-nb-errors 5)
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428 (< mpuz-nb-errors 10)) "That's bad !")
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429 ((and (>= mpuz-nb-errors 10)
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430 (< mpuz-nb-errors 15)) "That's awful.")
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431 ((>= mpuz-nb-errors 15) "That's not serious."))))
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432
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433 (defun mpuz-show-solution ()
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434 "Display solution for debugging purposes."
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435 (interactive)
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436 (mpuz-switch-to-window)
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437 (let (digit list)
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438 (setq digit -1)
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439 (while (> 10 (setq digit (1+ digit)))
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440 (or (mpuz-digit-solved-p digit)
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441 (setq list (cons digit list))))
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442 (mapcar 'mpuz-correct-guess list)))
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443
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444 ;;; mpuz.el ends here
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