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mathmaker
0.4(alpha)
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00001 # -*- coding: utf-8 -*- 00002 00003 # Mathmaker creates automatically maths exercises sheets 00004 # with their answers 00005 # Copyright 2006-2014 Nicolas Hainaux <nico_h@users.sourceforge.net> 00006 00007 # This file is part of Mathmaker. 00008 00009 # Mathmaker is free software; you can redistribute it and/or modify 00010 # it under the terms of the GNU General Public License as published by 00011 # the Free Software Foundation; either version 3 of the License, or 00012 # any later version. 00013 00014 # Mathmaker is distributed in the hope that it will be useful, 00015 # but WITHOUT ANY WARRANTY; without even the implied warranty of 00016 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 00017 # GNU General Public License for more details. 00018 00019 # You should have received a copy of the GNU General Public License 00020 # along with Mathmaker; if not, write to the Free Software 00021 # Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA 00022 00023 from lib import * 00024 from X_Structure import X_Structure 00025 import question 00026 from core.base_calculus import * 00027 #from core import randomly 00028 00029 AVAILABLE_X_KIND_VALUES = \ 00030 {'short_test' : ['sign_expansion', 'medium_level', 00031 'three_binomials', 'three_numeric_binomials', 00032 'default'], 00033 'mini_test' : ['two_expansions_hard', 'two_randomly'], 00034 'preformatted' : ['mixed_monom_polyn1'], 00035 'bypass' : ['sign_expansion', 'any_basic_expd', 'sum_of_any_basic_expd', 00036 'sum_square', 'difference_square', 'squares_difference', 00037 'any_binomial', 'polyn1_polyn1', 'two_expansions_hard'] 00038 } 00039 00040 DEFAULT_RATIO_MIXED_MONOM_POLYN1 = 0.5 00041 00042 X_LAYOUT_UNIT = "cm" 00043 # ---------------------- lines_nb col_widths questions 00044 X_LAYOUTS = {'default' : 00045 { 'exc' : [ None, 'all' 00046 ], 00047 'ans' : [ None, 'all' 00048 ] 00049 }, 00050 00051 ('short_test', 'three_numeric_binomials') : 00052 { 'exc' : [ None, 'all' 00053 ], 00054 'ans' : [ [1, 5.5, 5.5], (2, 1) 00055 ], 00056 } 00057 } 00058 00059 # ------------------------------------------------------------------------------ 00060 # -------------------------------------------------------------------------- 00061 # ------------------------------------------------------------------------------ 00062 ## 00063 # @class X_AlgebraExpressionExpansion 00064 # @brief Expressions to expand (like 2(x-3) or 4x(2-9x) or (3+x)(x-1)) 00065 class X_AlgebraExpressionExpansion(X_Structure): 00066 00067 00068 00069 00070 00071 # -------------------------------------------------------------------------- 00072 ## 00073 # @brief Constructor. 00074 # @param embedded_machine The machine that will be used to write output. 00075 # @param **options Options detailed below : 00076 # - start_number=<integer> 00077 # (should be >= 1) 00078 # - number_of_questions=<integer> 00079 # /!\ only useful if you use x_kind and not preformatted 00080 # (should be >= 1) 00081 # - x_kind=<string> 00082 # ... 00083 # ... 00084 # - preformatted=<string> 00085 # /!\ preformatted is useless with short_test 00086 # /!\ number_of_questions is useless with preformatted 00087 # /!\ if you use it with the x_kind option, ensure there's a 00088 # preformatted possibility with this option 00089 # 'yes' 00090 # 'OK' 00091 # any other value will be understood as 'no' 00092 # - short_test=<string> 00093 # /!\ the x_kind option above can't be used along this option 00094 # use subtype if you need to make different short_test exercises 00095 # 'yes' 00096 # 'OK' 00097 # any other value will be understood as 'no' 00098 # - subtype=<string> 00099 # ... 00100 # ... 00101 # @return One instance of exercise.AlgebraExpressionExpansion 00102 def __init__(self, embedded_machine, x_kind = 'default_nothing', **options): 00103 self.derived = True 00104 X_Structure.__init__(self, embedded_machine, 00105 x_kind, AVAILABLE_X_KIND_VALUES, X_LAYOUTS, 00106 X_LAYOUT_UNIT, **options) 00107 # The purpose of this next line is to get the possibly modified 00108 # value of **options 00109 options = self.options 00110 00111 default_question = question.Q_AlgebraExpressionExpansion 00112 00113 # TEXTS OF THE EXERCISE 00114 self.text = {'exc' : _("Expand and reduce") + " : ", 00115 'ans' : "" 00116 } 00117 00118 # alternate texts section 00119 if self.x_subkind == 'three_numeric_binomials': 00120 self.text = {'exc' : \ 00121 _("Calculate thanks to a binomial identity") + " : ", 00122 'ans' : "" 00123 } 00124 00125 # PREFORMATTED EXERCISES 00126 if self.x_kind == 'short_test': 00127 if self.x_subkind == 'sign_expansion': 00128 q = default_question(self.machine, 00129 q_kind='sign_expansion_short_test', 00130 expression_number=self.start_number, 00131 **options) 00132 00133 self.questions_list.append(q) 00134 00135 elif self.x_subkind == 'medium_level': 00136 00137 q = default_question(self.machine, 00138 q_kind='monom01_polyn1', 00139 expression_number=self.start_number, 00140 **options) 00141 00142 self.questions_list.append(q) 00143 00144 q = default_question(self.machine, 00145 q_kind='polyn1_polyn1', 00146 expression_number=self.start_number, 00147 **options) 00148 00149 self.questions_list.append(q) 00150 00151 q = default_question(self.machine, 00152 q_kind='sum_of_any_basic_expd', 00153 expression_number=self.start_number, 00154 **options) 00155 00156 self.questions_list.append(q) 00157 00158 00159 00160 00161 elif self.x_subkind == 'three_binomials': 00162 kinds_list = ['sum_square', 00163 'difference_square', 00164 'squares_difference'] 00165 00166 for i in xrange(3): 00167 q = default_question(self.machine, 00168 q_kind=randomly.pop(kinds_list), 00169 expression_number=i, 00170 **options) 00171 self.questions_list.append(q) 00172 00173 00174 elif self.x_subkind == 'three_numeric_binomials': 00175 a_list1 = [20, 30, 40, 50, 60, 70, 80, 90, 100] 00176 a_list2 = [200, 300, 400, 500, 600, 700, 800, 1000] 00177 b_list = [1, 2, 3] 00178 a1_choice = randomly.pop(a_list2) 00179 b1_choice = randomly.pop(b_list) 00180 a2_choice = randomly.pop(a_list1) 00181 b2_choice = randomly.pop(b_list) 00182 a3_choice = randomly.pop(a_list1) 00183 b3_choice = randomly.pop(b_list) 00184 00185 a1 = Monomial(('+', a1_choice, 0)) 00186 b1 = Monomial(('+', b1_choice, 0)) 00187 a2 = Monomial(('+', a2_choice, 0)) 00188 b2 = Monomial(('+', b2_choice, 0)) 00189 a3 = Monomial(('+', a3_choice, 0)) 00190 b3 = Monomial(('+', b3_choice, 0)) 00191 00192 kinds_list = ['numeric_sum_square', 00193 'numeric_difference_square', 00194 'numeric_squares_difference'] 00195 00196 monomials_to_use = [(a1, b1), (a2, b2), (a3, b3)] 00197 00198 ordered_kinds_list = [] 00199 squares_differences_option = [0, 0, 0] 00200 00201 for i in xrange(3): 00202 ordered_kinds_list.append(randomly.pop(kinds_list)) 00203 if ordered_kinds_list[i] == 'numeric_difference_square': 00204 monomials_to_use[i][1].set_sign('-') 00205 elif ordered_kinds_list[i] == 'numeric_squares_difference': 00206 squares_differences_option[i] = 1 00207 00208 for i in xrange(3): 00209 if squares_differences_option[i] == 1: 00210 q = default_question(self.machine, 00211 q_kind=ordered_kinds_list[i], 00212 couple=monomials_to_use[i], 00213 squares_difference='yes', 00214 expression_number=i, 00215 **options) 00216 else: 00217 q = default_question(self.machine, 00218 q_kind=ordered_kinds_list[i], 00219 couple=monomials_to_use[i], 00220 expression_number=i, 00221 **options) 00222 self.questions_list.append(q) 00223 00224 00225 00226 else: # default short_test option 00227 if randomly.heads_or_tails(): 00228 q1=default_question(self.machine, 00229 q_kind='monom0_polyn1', 00230 expression_number=0+self.start_number) 00231 00232 q2=default_question(self.machine, 00233 q_kind='monom1_polyn1', 00234 expression_number=1+self.start_number, 00235 reversed='OK') 00236 00237 else: 00238 q1=default_question(self.machine, 00239 q_kind='monom0_polyn1', 00240 reversed='OK', 00241 expression_number=0+self.start_number) 00242 00243 q2=default_question(self.machine, 00244 q_kind='monom1_polyn1', 00245 expression_number=1+self.start_number) 00246 00247 q3=default_question(self.machine, 00248 q_kind='polyn1_polyn1', 00249 expression_number=2+self.start_number) 00250 00251 self.questions_list.append(q1) 00252 self.questions_list.append(q2) 00253 self.questions_list.append(q3) 00254 00255 elif self.x_kind == 'mini_test': 00256 if self.x_subkind == 'two_expansions_hard': 00257 if randomly.heads_or_tails(): 00258 q1=default_question(self.machine, 00259 q_kind='sum_of_any_basic_expd', 00260 q_subkind='harder', 00261 expression_number=0+self.start_number) 00262 00263 q2=default_question(self.machine, 00264 q_kind='sum_of_any_basic_expd', 00265 q_subkind='with_a_binomial', 00266 expression_number=1+self.start_number) 00267 else: 00268 q1=default_question(self.machine, 00269 q_kind='sum_of_any_basic_expd', 00270 q_subkind='with_a_binomial', 00271 expression_number=0+self.start_number) 00272 q2=default_question(self.machine, 00273 q_kind='sum_of_any_basic_expd', 00274 q_subkind='harder', 00275 expression_number=1+self.start_number) 00276 00277 self.questions_list.append(q1) 00278 self.questions_list.append(q2) 00279 00280 elif self.x_subkind == 'two_randomly': 00281 if randomly.heads_or_tails(): 00282 q = default_question(self.machine, 00283 q_kind='sign_expansion_short_test', 00284 expression_number=self.start_number, 00285 **options) 00286 00287 self.questions_list.append(q) 00288 00289 q = default_question(self.machine, 00290 q_kind='polyn1_polyn1', 00291 expression_number=self.start_number+1, 00292 **options) 00293 00294 self.questions_list.append(q) 00295 00296 else: 00297 q = default_question(self.machine, 00298 q_kind='monom01_polyn1', 00299 expression_number=self.start_number, 00300 **options) 00301 00302 self.questions_list.append(q) 00303 00304 q = default_question(self.machine, 00305 q_kind='sum_of_any_basic_expd', 00306 q_subkind='easy', 00307 expression_number=self.start_number+1, 00308 **options) 00309 00310 self.questions_list.append(q) 00311 00312 elif self.x_kind == 'preformatted': 00313 # Mixed expandable expressions from the following types : 00314 # 0-degree Monomial × (1st-degree Polynomial) 00315 # 1-degree Monomial × (1st-degree Polynomial) 00316 # The Monomial & the polynomial may be swapped : it depends 00317 # if the option 'reversed' has been given in 00318 # argument in this method 00319 if self.x_subkind == 'mixed_monom_polyn1': 00320 choices_list = list() 00321 ratio = DEFAULT_RATIO_MIXED_MONOM_POLYN1 00322 00323 if 'ratio_mmp' in options \ 00324 and is_.a_number(options['ratio_mmp']) \ 00325 and options['ratio_mmp'] > 0 \ 00326 and options['ratio_mmp'] < 1 : 00327 #___ 00328 ratio = options['ratio_mmp'] 00329 else: 00330 raise error.ArgumentNeeded("the ratio_mmp option " \ 00331 + "because the " \ 00332 + "mixed_monom_polyn1 option " \ 00333 + "has been specified.") 00334 00335 for i in xrange(int(self.q_nb*ratio) + 1): 00336 choices_list.append('monom0_polyn1') 00337 for i in xrange(int(self.q_nb - self.q_nb*ratio)): 00338 choices_list.append('monom1_polyn1') 00339 00340 temp_nb = len(choices_list) 00341 00342 for i in xrange(temp_nb): 00343 choice = randomly.pop(choices_list) 00344 if choice == 'monom0_polyn1': 00345 q=default_question(self.machine, 00346 q_kind='monom0_polyn1', 00347 expression_number=i+self.start_number, 00348 **options) 00349 self.questions_list.append(q) 00350 else: 00351 q=default_question(self.machine, 00352 q_kind='monom1_polyn1', 00353 expression_number=i+self.start_number, 00354 **options) 00355 self.questions_list.append(q) 00356 00357 00358 00359 # OTHER EXERCISES 00360 else: 00361 for i in xrange(self.q_nb): 00362 q=default_question(self.machine, 00363 q_kind=self.x_subkind, 00364 expression_number=i+self.start_number, 00365 **options) 00366 self.questions_list.append(q) 00367 00368 00369 00370 00371 00372 # -------------------------------------------------------------------------- 00373 ## 00374 # @brief Writes the answers of the questions to the output. 00375 #def write_answer(self): 00376 # M = self.machine 00377 00378 # if self.answers_text != "": 00379 # M.write(self.answers_text) 00380 # M.write_new_line() 00381 00382 # if self.x_subkind == 'three_numeric_binomials': 00383 # M.write_tabular_begins("p{5.5 cm} p{5.5 cm}") 00384 # self.questions_list[0].write_answer() 00385 # M.write_new_line() 00386 # self.questions_list[1].write_answer() 00387 00388 # M.write_separator_tabular_columns() 00389 00390 # self.questions_list[2].write_answer() 00391 00392 # M.write_tabular_ends() 00393 00394 # else: # same as in the matching structure file 00395 # for i in xrange(len(self.questions_list)): 00396 # self.questions_list[i].write_answer() 00397 # M.write_new_line() 00398 00399 # M.write_new_line() 00400 00401 00402 00403 00404
1.7.6.1