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| 1 : | lr003k | 1123 | #!/usr/local/bin/webwork-perl |
| 2 : | gage | 1064 | |
| 3 : | BEGIN{ | ||
| 4 : | be_strict(); | ||
| 5 : | } | ||
| 6 : | |||
| 7 : | sub _PGmorematrixmacros_init{} | ||
| 8 : | |||
| 9 : | sub random_inv_matrix { ## Builds and returns a random invertible \$row by \$col matrix. | ||
| 10 : | |||
| 11 : | warn "Usage: \$new_matrix = random_inv_matrix(\$rows,\$cols)" | ||
| 12 : | if (@_ != 2); | ||
| 13 : | my $A = new Matrix($_[0],$_[1]); | ||
| 14 : | my $A_lr = new Matrix($_[0],$_[1]); | ||
| 15 : | my $det = 0; | ||
| 16 : | my $safety=0; | ||
| 17 : | while ($det == 0 and $safety < 6) { | ||
| 18 : | foreach my $i (1..$_[0]) { | ||
| 19 : | foreach my $j (1..$_[1]) { | ||
| 20 : | $A->assign($i,$j,random(-9,9,1) ); | ||
| 21 : | } | ||
| 22 : | } | ||
| 23 : | $A_lr = $A->decompose_LR(); | ||
| 24 : | $det = $A_lr->det_LR(); | ||
| 25 : | } | ||
| 26 : | return $A; | ||
| 27 : | } | ||
| 28 : | |||
| 29 : | sub swap_rows{ | ||
| 30 : | |||
| 31 : | warn "Usage: \$new_matrix = swap_rows(\$matrix,\$row1,\$row2);" | ||
| 32 : | if (@_ != 3); | ||
| 33 : | my $matrix = $_[0]; | ||
| 34 : | my ($i,$j) = ($_[1],$_[2]); | ||
| 35 : | warn "Error: Rows to be swapped must exist!" | ||
| 36 : | if ($i>@$matrix or $j >@$matrix); | ||
| 37 : | warn "Warning: Swapping the same row is pointless" | ||
| 38 : | if ($i==$j); | ||
| 39 : | my $cols = @{$matrix->[0]}; | ||
| 40 : | my $B = new Matrix(@$matrix,$cols); | ||
| 41 : | foreach my $k (1..$cols){ | ||
| 42 : | $B->assign($i,$k,element $matrix($j,$k)); | ||
| 43 : | $B->assign($j,$k,element $matrix($i,$k)); | ||
| 44 : | } | ||
| 45 : | return $B; | ||
| 46 : | } | ||
| 47 : | |||
| 48 : | sub row_mult{ | ||
| 49 : | |||
| 50 : | warn "Usage: \$new_matrix = row_mult(\$matrix,\$scalar,\$row);" | ||
| 51 : | if (@_ != 3); | ||
| 52 : | my $matrix = $_[0]; | ||
| 53 : | my ($scalar,$row) = ($_[1],$_[2]); | ||
| 54 : | warn "Undefined row multiplication" | ||
| 55 : | if ($row > @$matrix); | ||
| 56 : | my $B = new Matrix(@$matrix,@{$matrix->[0]}); | ||
| 57 : | foreach my $j (1..@{$matrix->[0]}) { | ||
| 58 : | $B->assign($row,$j,$scalar*element $matrix($row,$j)); | ||
| 59 : | } | ||
| 60 : | return $B; | ||
| 61 : | } | ||
| 62 : | |||
| 63 : | sub linear_combo{ | ||
| 64 : | |||
| 65 : | warn "Usage: \$new_matrix = linear_combo(\$matrix,\$scalar,\$row1,\$row2);" | ||
| 66 : | if (@_ != 4); | ||
| 67 : | my $matrix = $_[0]; | ||
| 68 : | my ($scalar,$row1,$row2) = ($_[1],$_[2],$_[3]); | ||
| 69 : | warn "Undefined row in multiplication" | ||
| 70 : | if ($row1>@$matrix or $row2>@$matrix); | ||
| 71 : | warn "Warning: Using the same row" | ||
| 72 : | if ($row1==$row2); | ||
| 73 : | my $B = new Matrix(@$matrix,@{$matrix->[0]}); | ||
| 74 : | foreach my $j (1..@$matrix) { | ||
| 75 : | my ($t1,$t2) = (element $matrix($row1,$j),element $matrix($row2,$j)); | ||
| 76 : | $B->assign($row2,$j,$scalar*$t1+$t2); | ||
| 77 : | } | ||
| 78 : | return $B; | ||
| 79 : | } | ||
| 80 : | |||
| 81 : | gage | 1071 | =head3 basis_cmp() |
| 82 : | gage | 1064 | |
| 83 : | gage | 1071 | Compares a list of vectors by finding the change of coordinate matrix |
| 84 : | from the Prof's vectors to the students, and then taking the determinant of | ||
| 85 : | that to determine the existence of the change of coordinate matrix going the | ||
| 86 : | other way. | ||
| 87 : | |||
| 88 : | ANS( basis_cmp( vectors_as_array_ref_in_array_ref, options_hash ) ); | ||
| 89 : | |||
| 90 : | 1. a reference to an array of correct vectors | ||
| 91 : | 2. a hash with the following keys (all optional): | ||
| 92 : | mode -- 'basis' (default) (only a basis allowed) | ||
| 93 : | 'orthogonal' (only an orthogonal basis is allowed) | ||
| 94 : | 'unit' (only unit vectors in the basis allowed) | ||
| 95 : | 'orthonormal' (only orthogonal unit vectors in basis allowed) | ||
| 96 : | zeroLevelTol -- absolute tolerance to allow when answer is close | ||
| 97 : | to zero | ||
| 98 : | |||
| 99 : | debug -- if set to 1, provides verbose listing of | ||
| 100 : | hash entries throughout fliters. | ||
| 101 : | |||
| 102 : | help -- 'none' (default) (is quiet on all errors) | ||
| 103 : | 'dim' (Tells student if wrong number of vectors are entered) | ||
| 104 : | 'length' (Tells student if there is a vector of the wrong length) | ||
| 105 : | 'orthogonal' (Tells student if their vectors are not orthogonal) | ||
| 106 : | (This is only in orthogonal mode) | ||
| 107 : | 'unit' (Tells student if there is a vector not of unit length) | ||
| 108 : | (This is only in unit mode) | ||
| 109 : | 'orthonormal' (Gives errors from orthogonal and orthonormal) | ||
| 110 : | (This is only in orthonormal mode) | ||
| 111 : | 'verbose' (Gives all the above answer messages) | ||
| 112 : | |||
| 113 : | Returns an answer evaluator. | ||
| 114 : | |||
| 115 : | EXAMPLES: | ||
| 116 : | |||
| 117 : | basis_cmp([[1,0,0],[0,1,0],[0,0,1]]) | ||
| 118 : | -- correct answer is any basis for R^3. | ||
| 119 : | basis_cmp([1,0,2,0],[0,1,0,0], 'mode'=>orthonormal ) | ||
| 120 : | -- correct answer is any orthonormal basis | ||
| 121 : | for this space such as: | ||
| 122 : | [1/sqrt(3),0,2/sqrt(3),0],[0,1,0,0] | ||
| 123 : | |||
| 124 : | =cut | ||
| 125 : | |||
| 126 : | |||
| 127 : | sub basis_cmp { | ||
| 128 : | my $correctAnswer = shift; | ||
| 129 : | my %opt = @_; | ||
| 130 : | |||
| 131 : | set_default_options( \%opt, | ||
| 132 : | 'zeroLevelTol' => $main::functZeroLevelTolDefault, | ||
| 133 : | 'debug' => 0, | ||
| 134 : | 'mode' => 'basis', | ||
| 135 : | 'help' => 'none', | ||
| 136 : | ); | ||
| 137 : | |||
| 138 : | # produce answer evaluator | ||
| 139 : | BASIS_CMP( | ||
| 140 : | 'correct_ans' => $correctAnswer, | ||
| 141 : | 'zeroLevelTol' => $opt{'zeroLevelTol'}, | ||
| 142 : | 'debug' => $opt{'debug'}, | ||
| 143 : | 'mode' => $opt{'mode'}, | ||
| 144 : | 'help' => $opt{'help'}, | ||
| 145 : | ); | ||
| 146 : | } | ||
| 147 : | |||
| 148 : | =head BASIS_CMP | ||
| 149 : | |||
| 150 : | Made to keep the same format as num_cmp and fun_cmp. | ||
| 151 : | |||
| 152 : | =cut | ||
| 153 : | |||
| 154 : | sub BASIS_CMP { | ||
| 155 : | my %mat_params = @_; | ||
| 156 : | my $zeroLevelTol = $mat_params{'zeroLevelTol'}; | ||
| 157 : | |||
| 158 : | # Check that everything is defined: | ||
| 159 : | $mat_params{debug} = 0 unless defined($mat_params{debug}); | ||
| 160 : | $zeroLevelTol = $main::functZeroLevelTolDefault unless defined $zeroLevelTol; | ||
| 161 : | $mat_params{'zeroLevelTol'} = $zeroLevelTol; | ||
| 162 : | |||
| 163 : | ## This is where the correct answer should be checked someday. | ||
| 164 : | my $matrix = Matrix->new_from_col_vecs($mat_params{'correct_ans'}); | ||
| 165 : | |||
| 166 : | #construct the answer evaluator | ||
| 167 : | my $answer_evaluator = new AnswerEvaluator; | ||
| 168 : | |||
| 169 : | $answer_evaluator->{debug} = $mat_params{debug}; | ||
| 170 : | |||
| 171 : | $answer_evaluator->ans_hash( correct_ans => pretty_print($mat_params{correct_ans}), | ||
| 172 : | rm_correct_ans => $matrix, | ||
| 173 : | zeroLevelTol => $mat_params{zeroLevelTol}, | ||
| 174 : | debug => $mat_params{debug}, | ||
| 175 : | mode => $mat_params{mode}, | ||
| 176 : | help => $mat_params{help}, | ||
| 177 : | ); | ||
| 178 : | |||
| 179 : | $answer_evaluator->install_pre_filter(sub {my $rh_ans = shift; | ||
| 180 : | $rh_ans->{student_ans} =~ s/\s+//g; # remove all whitespace | ||
| 181 : | $rh_ans; | ||
| 182 : | }); | ||
| 183 : | |||
| 184 : | $answer_evaluator->install_pre_filter(\&math_constants); | ||
| 185 : | lr003k | 1123 | $answer_evaluator->install_pre_filter(sub{my $rh_ans = shift; my @options = @_; |
| 186 : | if( $rh_ans->{ans_label} =~ /ArRaY/ ){ | ||
| 187 : | $rh_ans = ans_array_filter($rh_ans,@options); | ||
| 188 : | my @student_array = @{$rh_ans->{ra_student_ans}}; | ||
| 189 : | my @array = (); | ||
| 190 : | for( my $i = 0; $i < scalar(@student_array) ; $i ++ ) | ||
| 191 : | { | ||
| 192 : | push( @array, Matrix->new_from_array_ref($student_array[$i])); | ||
| 193 : | } | ||
| 194 : | $rh_ans->{ra_student_ans} = \@array; | ||
| 195 : | $rh_ans; | ||
| 196 : | }else{ | ||
| 197 : | vec_list_string($rh_ans,@options); | ||
| 198 : | } | ||
| 199 : | |||
| 200 : | });#ra_student_ans is now the students answer as an array of vectors | ||
| 201 : | gage | 1071 | # anonymous subroutine to check dimension and length of the student vectors |
| 202 : | # if either is wrong, the answer is wrong. | ||
| 203 : | $answer_evaluator->install_pre_filter(sub{ | ||
| 204 : | my $rh_ans = shift; | ||
| 205 : | my $length = $rh_ans->{rm_correct_ans}->[1]; | ||
| 206 : | my $dim = $rh_ans->{rm_correct_ans}->[2]; | ||
| 207 : | if( $dim != scalar(@{$rh_ans->{ra_student_ans}})) | ||
| 208 : | { | ||
| 209 : | |||
| 210 : | $rh_ans->{score} = 0; | ||
| 211 : | if( $rh_ans->{help} =~ /dim|verbose/ ) | ||
| 212 : | { | ||
| 213 : | $rh_ans->throw_error('EVAL','You have entered the wrong number of vectors.'); | ||
| 214 : | }else{ | ||
| 215 : | $rh_ans->throw_error('EVAL'); | ||
| 216 : | } | ||
| 217 : | } | ||
| 218 : | for( my $i = 0; $i < scalar( @{$rh_ans->{ra_student_ans} }) ; $i++ ) | ||
| 219 : | { | ||
| 220 : | if( $length != $rh_ans->{ra_student_ans}->[$i]->[1]) | ||
| 221 : | { | ||
| 222 : | $rh_ans->{score} = 0; | ||
| 223 : | if( $rh_ans->{help} =~ /length|verbose/ ) | ||
| 224 : | { | ||
| 225 : | $rh_ans->throw_error('EVAL','You have entered vector(s) of the wrong length.'); | ||
| 226 : | }else{ | ||
| 227 : | $rh_ans->throw_error('EVAL'); | ||
| 228 : | } | ||
| 229 : | } | ||
| 230 : | } | ||
| 231 : | $rh_ans; | ||
| 232 : | }); | ||
| 233 : | # Install prefilter for various modes | ||
| 234 : | if( $mat_params{mode} ne 'basis' ) | ||
| 235 : | { | ||
| 236 : | if( $mat_params{mode} =~ /orthogonal|orthonormal/ ) | ||
| 237 : | { | ||
| 238 : | $answer_evaluator->install_pre_filter(sub{ | ||
| 239 : | my $rh_ans = shift; | ||
| 240 : | my @vecs = @{$rh_ans->{ra_student_ans}}; | ||
| 241 : | my ($i,$j) = (0,0); | ||
| 242 : | my $num = scalar(@vecs); | ||
| 243 : | my $length = $vecs[0]->[1]; | ||
| 244 : | |||
| 245 : | for( ; $i < $num ; $i ++ ) | ||
| 246 : | { | ||
| 247 : | for( $j = $i+1; $j < $num ; $j++ ) | ||
| 248 : | { | ||
| 249 : | my $sum = 0; | ||
| 250 : | my $k = 0; | ||
| 251 : | |||
| 252 : | for( ; $k < $length; $k++ ) { | ||
| 253 : | $sum += $vecs[$i]->[0][$k][0]*$vecs[$j]->[0][$k][0]; | ||
| 254 : | } | ||
| 255 : | |||
| 256 : | if( $sum > $mat_params{zeroLevelTol} ) | ||
| 257 : | { | ||
| 258 : | $rh_ans->{score} = 0; | ||
| 259 : | if( $rh_ans->{help} =~ /orthogonal|orthonormal|verbose/ ) | ||
| 260 : | { | ||
| 261 : | $rh_ans->throw_error('EVAL','You have entered vectors which are not orthogonal. '); | ||
| 262 : | }else{ | ||
| 263 : | $rh_ans->throw_error('EVAL'); | ||
| 264 : | } | ||
| 265 : | } | ||
| 266 : | } | ||
| 267 : | } | ||
| 268 : | |||
| 269 : | |||
| 270 : | $rh_ans; | ||
| 271 : | }); | ||
| 272 : | } | ||
| 273 : | |||
| 274 : | if( $mat_params{mode} =~ /unit|orthonormal/ ) | ||
| 275 : | { | ||
| 276 : | $answer_evaluator->install_pre_filter(sub{ | ||
| 277 : | my $rh_ans = shift; | ||
| 278 : | my @vecs = @{$rh_ans->{ra_student_ans}}; | ||
| 279 : | my $i = 0; | ||
| 280 : | my $num = scalar(@vecs); | ||
| 281 : | my $length = $vecs[0]->[1]; | ||
| 282 : | |||
| 283 : | for( ; $i < $num ; $i ++ ) | ||
| 284 : | { | ||
| 285 : | my $sum = 0; | ||
| 286 : | my $k = 0; | ||
| 287 : | |||
| 288 : | for( ; $k < $length; $k++ ) { | ||
| 289 : | $sum += $vecs[$i]->[0][$k][0]*$vecs[$i]->[0][$k][0]; | ||
| 290 : | } | ||
| 291 : | if( abs(sqrt($sum) - 1) > $mat_params{zeroLevelTol} ) | ||
| 292 : | { | ||
| 293 : | $rh_ans->{score} = 0; | ||
| 294 : | |||
| 295 : | if( $rh_ans->{help} =~ /unit|orthonormal|verbose/ ) | ||
| 296 : | { | ||
| 297 : | $rh_ans->throw_error('EVAL','You have entered vector(s) which are not of unit length.'); | ||
| 298 : | }else{ | ||
| 299 : | $rh_ans->throw_error('EVAL'); | ||
| 300 : | } | ||
| 301 : | } | ||
| 302 : | } | ||
| 303 : | |||
| 304 : | |||
| 305 : | $rh_ans; | ||
| 306 : | }); | ||
| 307 : | |||
| 308 : | } | ||
| 309 : | } | ||
| 310 : | $answer_evaluator->install_evaluator(\&compare_basis, %mat_params); | ||
| 311 : | $answer_evaluator->install_post_filter( | ||
| 312 : | sub {my $rh_ans = shift; | ||
| 313 : | if ($rh_ans->catch_error('SYNTAX') ) { | ||
| 314 : | $rh_ans->{ans_message} = $rh_ans->{error_message}; | ||
| 315 : | $rh_ans->clear_error('SYNTAX'); | ||
| 316 : | } | ||
| 317 : | if ($rh_ans->catch_error('EVAL') ) { | ||
| 318 : | $rh_ans->{ans_message} = $rh_ans->{error_message}; | ||
| 319 : | $rh_ans->clear_error('EVAL'); | ||
| 320 : | } | ||
| 321 : | $rh_ans; | ||
| 322 : | } | ||
| 323 : | ); | ||
| 324 : | $answer_evaluator; | ||
| 325 : | } | ||
| 326 : | |||
| 327 : | =head4 compare_basis | ||
| 328 : | |||
| 329 : | compare_basis( $ans_hash, %options); | ||
| 330 : | |||
| 331 : | {ra_student_ans}, # a reference to the array of students answer vectors | ||
| 332 : | {rm_correct_ans}, # a reference to the correct answer matrix | ||
| 333 : | %options | ||
| 334 : | ) | ||
| 335 : | |||
| 336 : | =cut | ||
| 337 : | |||
| 338 : | sub compare_basis { | ||
| 339 : | my ($rh_ans, %options) = @_; | ||
| 340 : | my @ch_coord; | ||
| 341 : | my @vecs = @{$rh_ans->{ra_student_ans}}; | ||
| 342 : | |||
| 343 : | # A lot of the follosing code was taken from Matrix::proj_coeff | ||
| 344 : | # calling this method recursively would be a waste of time since | ||
| 345 : | # the prof's matrix never changes and solve_LR is an expensive | ||
| 346 : | # operation. This way it is only done once. | ||
| 347 : | my $matrix = $rh_ans->{rm_correct_ans}; | ||
| 348 : | my ($dim,$x_vector, $base_matrix); | ||
| 349 : | my $errors = undef; | ||
| 350 : | my $lin_space_tr= ~ $matrix; | ||
| 351 : | $matrix = $lin_space_tr * $matrix; | ||
| 352 : | my $matrix_lr = $matrix->decompose_LR(); | ||
| 353 : | |||
| 354 : | #finds the coefficient vectors for each of the students vectors | ||
| 355 : | for( my $i = 0; $i < scalar(@{$rh_ans->{ra_student_ans}}) ; $i++ ) | ||
| 356 : | { | ||
| 357 : | |||
| 358 : | $vecs[$i] = $lin_space_tr*$vecs[$i]; | ||
| 359 : | ($dim,$x_vector, $base_matrix) = $matrix_lr->solve_LR($vecs[$i]); | ||
| 360 : | push( @ch_coord, $x_vector ); | ||
| 361 : | $errors = "A unique adapted answer could not be determined. Possibly the parameters have coefficient zero.<br> dim = $dim base_matrix is $base_matrix\n" if $dim; # only print if the dim is not zero. | ||
| 362 : | } | ||
| 363 : | |||
| 364 : | if( defined($errors)) | ||
| 365 : | { | ||
| 366 : | $rh_ans->throw_error('EVAL', $errors) ; | ||
| 367 : | }else{ | ||
| 368 : | my $ch_coord_mat = Matrix->new_from_col_vecs(\@ch_coord);#creates change of coordinate matrix | ||
| 369 : | #existence of this matrix implies that | ||
| 370 : | #the all of the students answers are a | ||
| 371 : | #linear combo of the prof's | ||
| 372 : | $ch_coord_mat = $ch_coord_mat->decompose_LR(); | ||
| 373 : | |||
| 374 : | lr003k | 1161 | if( abs($ch_coord_mat->det_LR()) > $options{zeroLevelTol} )# if the det of the change of coordinate matrix is |
| 375 : | gage | 1071 | # non-zero, this implies the existence of an inverse |
| 376 : | # which implies all of the prof's vectors are a linear | ||
| 377 : | # combo of the students vectors, showing containment | ||
| 378 : | # both ways. | ||
| 379 : | { | ||
| 380 : | # I think sometimes if the students space has the same dimension as the profs space it | ||
| 381 : | # will get projected into the profs space even if it isn't a basis for that space. | ||
| 382 : | # this just checks that the prof's matrix times the change of coordinate matrix is actually | ||
| 383 : | #the students matrix | ||
| 384 : | if( abs(Matrix->new_from_col_vecs(\@{$rh_ans->{ra_student_ans}}) - ($rh_ans->{rm_correct_ans})*(Matrix->new_from_col_vecs(\@ch_coord))) < $options{zeroLevelTol} ) | ||
| 385 : | { | ||
| 386 : | $rh_ans->{score} = 1; | ||
| 387 : | }else{ | ||
| 388 : | $rh_ans->{score} = 0; | ||
| 389 : | } | ||
| 390 : | } | ||
| 391 : | else{ | ||
| 392 : | $rh_ans->{score}=0; | ||
| 393 : | } | ||
| 394 : | } | ||
| 395 : | $rh_ans; | ||
| 396 : | |||
| 397 : | } | ||
| 398 : | |||
| 399 : | |||
| 400 : | =head 2 vec_list_string | ||
| 401 : | |||
| 402 : | This is a check_syntax type method (in fact I borrowed some of that method's code) for vector input. | ||
| 403 : | The student needs to enter vectors like: [1,0,0],[1,2,3],[0,9/sqrt(10),1/sqrt(10)] | ||
| 404 : | Each entry can contain functions and operations and the usual math constants (pi and e). | ||
| 405 : | The vectors, however can not be added or multiplied or scalar multiplied by the student. | ||
| 406 : | Most errors are handled well. Any error in an entry is caught by the PG_answer_eval like it is in num_cmp or fun_cmp. | ||
| 407 : | Right now the method basically ignores every thing outside the vectors. Also, an unmatched open parenthesis is caught, | ||
| 408 : | but a unmatched close parenthesis ends the vector, and since everything outside is ignored, no error is sent (other than the | ||
| 409 : | later when the length of the vectors is checked. | ||
| 410 : | In the end, the method returns an array of Matrix objects. | ||
| 411 : | |||
| 412 : | |||
| 413 : | =cut | ||
| 414 : | |||
| 415 : | sub vec_list_string{ | ||
| 416 : | my $rh_ans = shift; | ||
| 417 : | my %options = @_; | ||
| 418 : | my $i; | ||
| 419 : | my $entry = ""; | ||
| 420 : | my $char; | ||
| 421 : | my @paren_stack; | ||
| 422 : | my $length = length($rh_ans->{student_ans}); | ||
| 423 : | my @temp; | ||
| 424 : | my $j = 0; | ||
| 425 : | my @answers; | ||
| 426 : | my $paren; | ||
| 427 : | my $display_ans; | ||
| 428 : | |||
| 429 : | for( $i = 0; $i < $length ; $i++ ) | ||
| 430 : | { | ||
| 431 : | $char = substr($rh_ans->{student_ans},$i,1); | ||
| 432 : | |||
| 433 : | if( $char =~ /\(|\[|\{/ ){ | ||
| 434 : | push( @paren_stack, $char ) | ||
| 435 : | } | ||
| 436 : | |||
| 437 : | if( !( $char =~ /\(|\[|\{/ && scalar(@paren_stack) == 1 ) ) | ||
| 438 : | { | ||
| 439 : | if( $char !~ /,|\)|\]|\}/ ){ | ||
| 440 : | $entry .= $char; | ||
| 441 : | }else{ | ||
| 442 : | if( $char =~ /,/ || ( $char =~ /\)|\]|\}/ && scalar(@paren_stack) == 1 ) ) | ||
| 443 : | { | ||
| 444 : | if( length($entry) == 0 ){ | ||
| 445 : | if( $char !~ /,/ ){ | ||
| 446 : | $rh_ans->throw_error('EVAL','There is a syntax error in your answer'); | ||
| 447 : | }else{ | ||
| 448 : | $rh_ans->{preview_text_string} .= ","; | ||
| 449 : | $rh_ans->{preview_latex_string} .= ","; | ||
| 450 : | $display_ans .= ","; | ||
| 451 : | } | ||
| 452 : | }else{ | ||
| 453 : | |||
| 454 : | # This parser code was origianally taken from PGanswermacros::check_syntax | ||
| 455 : | # but parts of it needed to be slighty modified for this context | ||
| 456 : | my $parser = new AlgParserWithImplicitExpand; | ||
| 457 : | my $ret = $parser -> parse($entry); #for use with loops | ||
| 458 : | |||
| 459 : | if ( ref($ret) ) { ## parsed successfully | ||
| 460 : | $parser -> tostring(); | ||
| 461 : | $parser -> normalize(); | ||
| 462 : | $entry = $parser -> tostring(); | ||
| 463 : | $rh_ans->{preview_text_string} .= $entry.","; | ||
| 464 : | $rh_ans->{preview_latex_string} .= $parser -> tolatex().","; | ||
| 465 : | |||
| 466 : | } else { ## error in parsing | ||
| 467 : | |||
| 468 : | $rh_ans->{'student_ans'} = 'syntax error:'.$display_ans. $parser->{htmlerror}, | ||
| 469 : | $rh_ans->{'ans_message'} = $display_ans.$parser -> {error_msg}, | ||
| 470 : | $rh_ans->{'preview_text_string'} = '', | ||
| 471 : | $rh_ans->{'preview_latex_string'} = '', | ||
| 472 : | $rh_ans->throw_error('SYNTAX', 'syntax error in answer:'.$display_ans.$parser->{htmlerror} . "$main::BR" .$parser -> {error_msg}.".$main::BR"); | ||
| 473 : | } | ||
| 474 : | |||
| 475 : | my ($inVal,$PG_eval_errors,$PG_full_error_report) = PG_answer_eval($entry); | ||
| 476 : | |||
| 477 : | if ($PG_eval_errors) { | ||
| 478 : | $rh_ans->throw_error('EVAL','There is a syntax error in your answer.') ; | ||
| 479 : | $rh_ans->{ans_message} = clean_up_error_msg($PG_eval_errors); | ||
| 480 : | last; | ||
| 481 : | } else { | ||
| 482 : | $entry = prfmt($inVal,$options{format}); | ||
| 483 : | $display_ans .= $entry.","; | ||
| 484 : | push(@temp , $entry); | ||
| 485 : | } | ||
| 486 : | |||
| 487 : | if( $char =~ /\)|\]|\}/ && scalar(@paren_stack) == 1) | ||
| 488 : | { | ||
| 489 : | pop @paren_stack; | ||
| 490 : | chop($rh_ans->{preview_text_string}); | ||
| 491 : | chop($rh_ans->{preview_latex_string}); | ||
| 492 : | chop($display_ans); | ||
| 493 : | $rh_ans->{preview_text_string} .= "]"; | ||
| 494 : | $rh_ans->{preview_latex_string} .= "]"; | ||
| 495 : | $display_ans .= "]"; | ||
| 496 : | if( scalar(@temp) > 0 ) | ||
| 497 : | { | ||
| 498 : | push( @answers,Matrix->new_from_col_vecs([\@temp])); | ||
| 499 : | while(scalar(@temp) > 0 ){ | ||
| 500 : | pop @temp; | ||
| 501 : | } | ||
| 502 : | }else{ | ||
| 503 : | $rh_ans->throw_error('EVAL','There is a syntax error in your answer.'); | ||
| 504 : | } | ||
| 505 : | } | ||
| 506 : | } | ||
| 507 : | $entry = ""; | ||
| 508 : | }else{ | ||
| 509 : | $paren = pop @paren_stack; | ||
| 510 : | if( scalar(@paren_stack) > 0 ){ | ||
| 511 : | #this uses ASCII to check if the parens match up | ||
| 512 : | # in ASCII ord ( = 40 , ord ) = 41 , ord [ = 91 , | ||
| 513 : | # ord ] = 93 , ord { = 123 , ord } = 125 | ||
| 514 : | if( (ord($char) - ord($paren) <= 2) ){ | ||
| 515 : | $entry = $entry . $char; | ||
| 516 : | }else{ | ||
| 517 : | $rh_ans->throw_error('EVAL','There is a syntax error in your answer'); | ||
| 518 : | } | ||
| 519 : | } | ||
| 520 : | } | ||
| 521 : | } | ||
| 522 : | }else{ | ||
| 523 : | $rh_ans->{preview_text_string} .= "["; | ||
| 524 : | $rh_ans->{preview_latex_string} .= "["; | ||
| 525 : | $display_ans .= "["; | ||
| 526 : | } | ||
| 527 : | } | ||
| 528 : | $rh_ans->{ra_student_ans} = \@answers; | ||
| 529 : | $rh_ans->{student_ans} = $display_ans unless $rh_ans->{error_flag}; | ||
| 530 : | $rh_ans; | ||
| 531 : | } | ||
| 532 : | |||
| 533 : | lr003k | 1123 | sub ans_array_filter{ |
| 534 : | my $rh_ans = shift; | ||
| 535 : | my %options = @_; | ||
| 536 : | $rh_ans->{ans_label} =~ /ArRaY(\d+)\[\d+,\d+,\d+\]/; | ||
| 537 : | my $ans_num = $1; | ||
| 538 : | my @keys = grep /ArRaY$ans_num/, keys(%{$main::inputs_ref}); | ||
| 539 : | my $key; | ||
| 540 : | my @array = (); | ||
| 541 : | lr003k | 1237 | #my @latex = (); |
| 542 : | lr003k | 1123 | my ($i,$j,$k) = (0,0,0); |
| 543 : | |||
| 544 : | #the keys aren't in order, so their info has to be put into the array before doing anything with it | ||
| 545 : | foreach $key (@keys){ | ||
| 546 : | $key =~ /ArRaY\d+\[(\d+),(\d+),(\d+)\]/; | ||
| 547 : | ($i,$j,$k) = ($1,$2,$3); | ||
| 548 : | $array[$i][$j][$k] = ${$main::inputs_ref}{'ArRaY'.$ans_num.'['.$i.','.$j.','.$k.']'}; | ||
| 549 : | } | ||
| 550 : | |||
| 551 : | my $display_ans = ""; | ||
| 552 : | |||
| 553 : | for( $i=0; $i < scalar(@array) ; $i ++ ) | ||
| 554 : | { | ||
| 555 : | $display_ans .= " ["; | ||
| 556 : | $rh_ans->{preview_text_string} .= ' ['; | ||
| 557 : | $rh_ans->{preview_latex_string} .= ' ['; | ||
| 558 : | for( $j = 0; $j < scalar( @{$array[$i]} ) ; $j++ ) | ||
| 559 : | { | ||
| 560 : | $display_ans .= " ["; | ||
| 561 : | $rh_ans->{preview_text_string} .= ' ['; | ||
| 562 : | $rh_ans->{preview_latex_string} .= ' ['; | ||
| 563 : | for( $k = 0; $k < scalar( @{$array[$i][$j]} ) ; $k ++ ){ | ||
| 564 : | my $entry = $array[$i][$j][$k]; | ||
| 565 : | |||
| 566 : | # This parser code was origianally taken from PGanswermacros::check_syntax | ||
| 567 : | # but parts of it needed to be slighty modified for this context | ||
| 568 : | my $parser = new AlgParserWithImplicitExpand; | ||
| 569 : | my $ret = $parser -> parse($entry); #for use with loops | ||
| 570 : | |||
| 571 : | if ( ref($ret) ) { ## parsed successfully | ||
| 572 : | $parser -> tostring(); | ||
| 573 : | $parser -> normalize(); | ||
| 574 : | $entry = $parser -> tostring(); | ||
| 575 : | $rh_ans->{preview_text_string} .= $entry.","; | ||
| 576 : | $rh_ans->{preview_latex_string} .= $parser -> tolatex().","; | ||
| 577 : | lr003k | 1237 | #$latex[$i][$j][$k] = "\\{".$parser -> tolatex()."\\}"; |
| 578 : | |||
| 579 : | lr003k | 1123 | } else { ## error in parsing |
| 580 : | $rh_ans->{'student_ans'} = 'syntax error:'.$display_ans. $parser->{htmlerror}, | ||
| 581 : | $rh_ans->{'ans_message'} = $display_ans.$parser -> {error_msg}, | ||
| 582 : | $rh_ans->{'preview_text_string'} = '', | ||
| 583 : | $rh_ans->{'preview_latex_string'} = '', | ||
| 584 : | $rh_ans->throw_error('SYNTAX', 'syntax error in answer:'.$display_ans.$parser->{htmlerror} . "$main::BR" .$parser -> {error_msg}.".$main::BR"); | ||
| 585 : | } | ||
| 586 : | |||
| 587 : | my ($inVal,$PG_eval_errors,$PG_full_error_report) = PG_answer_eval($entry); | ||
| 588 : | if ($PG_eval_errors) { | ||
| 589 : | $rh_ans->throw_error('EVAL','There is a syntax error in your answer.') ; | ||
| 590 : | $rh_ans->{ans_message} = clean_up_error_msg($PG_eval_errors); | ||
| 591 : | last; | ||
| 592 : | } else { | ||
| 593 : | $entry = prfmt($inVal,$options{format}); | ||
| 594 : | $display_ans .= $entry.","; | ||
| 595 : | $array[$i][$j][$k] = $entry; | ||
| 596 : | } | ||
| 597 : | } | ||
| 598 : | chop($rh_ans->{preview_text_string}); | ||
| 599 : | chop($rh_ans->{preview_latex_string}); | ||
| 600 : | chop($display_ans); | ||
| 601 : | $rh_ans->{preview_text_string} .= '] ,'; | ||
| 602 : | $rh_ans->{preview_latex_string} .= '] ,'; | ||
| 603 : | $display_ans .= '] ,'; | ||
| 604 : | |||
| 605 : | } | ||
| 606 : | chop($rh_ans->{preview_text_string}); | ||
| 607 : | chop($rh_ans->{preview_latex_string}); | ||
| 608 : | chop($display_ans); | ||
| 609 : | $rh_ans->{preview_text_string} .= '] ,'; | ||
| 610 : | $rh_ans->{preview_latex_string} .= '] ,'; | ||
| 611 : | $display_ans .= '] ,'; | ||
| 612 : | } | ||
| 613 : | chop($rh_ans->{preview_text_string}); | ||
| 614 : | chop($rh_ans->{preview_latex_string}); | ||
| 615 : | chop($display_ans); | ||
| 616 : | |||
| 617 : | lr003k | 1237 | #for( $i = 0 ; $i < scalar( @latex ); $i++ ){ |
| 618 : | # $latex[$i] = display_matrix($latex[$i]); | ||
| 619 : | #} | ||
| 620 : | #$rh_ans->{preview_latex_string} = mbox(\@latex); | ||
| 621 : | my @temp = (); | ||
| 622 : | for( $i = 0 ; $i < scalar( @array ); $i++ ){ | ||
| 623 : | push @temp , display_matrix($array[$i], 'left'=>'.', 'right'=>'.'); | ||
| 624 : | push @temp , "," unless $i == scalar(@array) - 1; | ||
| 625 : | } | ||
| 626 : | $rh_ans->{student_ans} = mbox(\@temp); | ||
| 627 : | lr003k | 1123 | $rh_ans->{ra_student_ans} = \@array; |
| 628 : | |||
| 629 : | $rh_ans; | ||
| 630 : | |||
| 631 : | } | ||
| 632 : | |||
| 633 : | gage | 1064 | 1; |
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