ÿØÿà JFIF    ÿÛ „  ( %!1"%)+...383-7(-.+  -%%--------+------------/----------------------------ÿÀ  ¶" ÿÄ     ÿÄ @    !1AQaq‘¡"±ÁÑð2’BRráS‚ñ3b¢CT²Ò #cÿÄ    ÿÄ '   1!AQ2a"‘±#ÿÚ   ? ò(/p‘—–¢·,M|¯G»R£üešT. ôŸEoCFñ‡ 4ÔkåóxR|µÁ¨ÓDà!Ç´µ˜‡p ÍQ‹§!þž^õWsŒy  åÁ§$á«%ºq˜™JyyË0y«^Ϗ -3ÃÏËÈ£Æ\P’ä„s&•‹Üs üô'àWt¹pñCp$bÚF`·7.^)¾!)ÒÙ˜–ÅÏš^h¾ø³·ìe±ŒaeÖ—Í,e=B}Jéߦ$$½—šÙÜCC¯¶è8β–Åkèwx LÉngT±æ¹£Ócœ¿Í/©Éÿ ‰ÚCÒ­mq;Tt¶–}0"zÖPcd1š­¤tˆ„ÐÓâqú[™öUCŠ2޿د­É(¸ßúçšmW,Ò ºf‹Ån™ÄLêÁ8üÁkÁ€L¥ÍuJ1œôrÂSŒÓöt!7EUíïb)AËi¬â-ÙHk8òÁiXYwÅ)O^"ÇØriÛô{»wRUKÙÏÚlÓ¬€‚’שT ] ªb—ÊîKC^×M“xùäñz¬zJ× {4[¹M'IÆeH1LCWÕ]œûº WDæà°OÅ‚¹c²ÞuA–rL`HšpCez‡V’— Ž‚Ë„–ñ­'µR0ÕÖ=À:±G»C\nÆÉ5*¢ †3šhQ4ýÒi$Õ1"Ü]¢p-q3zcQ$ªö¨¥æf›‘»´ÝÚHá„e²JÇ–iÊ:·à¬Øc5Åk»Laª*wi [0Ówk ¦a¦0Õ²ÅÅ‚T¸’³q:Æ<¹ú Ò˜Æ}2VE•Ð€p¡Ô3Úº …h³^LJºçì¥Ánó|˜ÖˆÎˆ+« ¦dø‘Mº–d\ªDðÛ„Ì×LÝ——Ð9Ç|•FèçVm™¨€™3õS–9Äå¢<̉Ìm¢±`·º˜&Z²ž Ë®D«¶»6™‰©­HÈ Àá«h­i³04æ’hxœi3ï¨(ÓL·†‹¶ËpŒ ƒÜÒ? :õdsÀ –3æÓ·Üjâ¬9—]8n¼&]I F£¼…ì–—Œ0v°LǐÅfÛ2TÖ’aµ˜N@ÖBSÏ^à´4-±°b×nÈÈœÆD=KdŒø…ÄÈK,›ÖR§fjü$^ÔÎ!„6^ s:Üun\ôkCÞò÷<—Lúl Í›G¹ÀPá¼Nc¡šÒ…ÙWͳœ±vÊáЄ×9‹P‰cEØ‘™›µŸP<×g1 º©Ø¬wiÁ^l5× I/';Ë+´Z‡ÓÄFÕp[Èð’ HÄ ó 9¬Dl4“é±Ï”V=^Hð;žLädÉa‚°Ë,#/Ž~²BÔÛ QãñQtIeórVB,ÏÂf‹4#Îœc‹É3ZIÖ Œ¢¥·üxa‡Ãçè„jŠ[5 Ä!U?,3žÎ×…ðdÓ÷háŠA‰ìÄ4÷ÃÜZÃE{‰®+W\ZÍE[‰»µk»MÝ­`¢©†˜ÃV‹-f¢¡†¢a«eŠ%«Y¨©q%jâd,Ôq`) ¤¦…šˆ ¦E>0Ùb²t–Ÿ  ÷jsÏ‚Ò’KÈcø(é›;k(’#ôŒQ ™C> õ³M9óºÆµ¤çâ;uÀ)5>RÔ¸fÓ~Ȧ—’-$fe«"FâUˆÊwµPÏu w+"åÉó¨6s™Û9(À¨ù©hE°½†n`m~“@©›p!Vkhµ Á1šbEqqÊ@ºèl›2 –Yã%‘‚hÛ{a¶‡ÅÞM²¬çL34®Çl]®‹ŽØŒm'RÜe35æöˆ­Á­ cP9šeÁköo´L³Ì=p8]”‡B¶,šº|ɏdzXˆØk*ÇÚ{#ñ‰pã(€¶‡9ý'šÜ³½¯kƒ†Â’ëSOƒ•Å®H6+a¢µˆ‹Y¨b˜b+XˆÖ!°u!¢"µˆˆn2ˆ Å0Ä`Å Ô®c(ÓÜGº•Ä»Œ âWî%q.áÐÄ÷î%umÍ£+ÜQ,Vn¦-GphU¸¢X­&,Gt ·K¢ÅÅ·¥RÄÊÉbKn N­R2g$VµÕó Qr#–ÓZUÏð0ÎtÙÀœz ëöo“Îk¯n„T°"SÞ+³/…€½"ižãO%Í%&Δâ‘ËØ´IˆÓ°Ë‰ÞM3.™yçÁzit›`4C`k¢¼á!álÄï sÂ[×!¤l¾æo"ƒIÔ'@ªu)3›ô®“@Z à¾] üœ'‡4¸PÞkÁ-qÄH‰ÓÍBd´ÿ —¹°ÄA&ÊUC„öz‚‚RæŠtf¬>˜ÑidšEçÑL÷áý¡V±h§­c¿¥¨ƒ@g¼…Ýö^ÞËc.ž„æ“I[ ª+·zÐÒÚ,½Ð»¶€C›7jk$๖€Ž¾ÅÙpp¶ÍþéΤ ½ØÎŒq ñpæžÅ¥#Øâ49ÃÂK^MYV“,¶Éz_òæ:…;Õ«¦I3âJ£¤û5$7Èxün\â]Êe¯(Ÿ&Ž‹¶2<6Ćf× æ¢ƱqWı[(ÙÂŽç‚T7¨@ÈÉÍß‚ïÙ"&3TYlGŽ†)†#5ŠA©^T2ÆÁ†)©†©†¤yGXÁ†©"†)©¼ÅV WS†#©]R–r‹q5ÕbâWþBh¯u+ªÅÄ×ü„nÑ^êkªÁj‰jeœWˆÕÕ`µDµ2Ì+Ä µDµµ5Ô{¤Þ0RF’H÷AÛ<ÊÁ§ ƈæ0Ñ£ê4 öÚµ[¬/1²€â<-¬šö²r×0o×w ´xÐÒË„ g01¬„åEM蛇Ã\6µE›‘fÙO k÷CºnÓ1`iîÒ² áÂ!ÑLÄÿ ³¬\õ*:M=Ç»c‹2[‰ØsÕLò\ŒK L^™üÄN\¶#» Ç\……ßïIœÉ$¸ÎñÍ®ÔHÇ Ûí/´>Li”„†g^$ 7NÍÑÑ2M2ªNg=k½Ð}Ÿl6‡ —JWˆ”ÞéT·+µ¦üÂFè¢Vs6ýÆ4»2+2IÝ9ô9®ÇGÙÇ1+Ä8;*Õ§ž½D*îÑWÚçá3Ma¤·ˆ¥t}š²Ü…Q+Æüµ8HíS”üxGéÁˆ¦Ël„éÈ 5 µÄƒ6äÜ(kIš¯S†fÖ&¸®×v|Äyˆ*禌Éù@7-®Ä[]ÎÖ¿ê`º…=:…žJVnݳvðÖKE¼‚ »mà ÷f®:Ë ™–4rð¡4` ܹçž~‹C=œ…¾Ïj|VDtK.ƒ"9 Ï ­–éXá³6WÒïIL-Ї Ç Addition.php000064400000004000152267532600007012 0ustar00addMatrix($value); } elseif (is_numeric($value)) { return $this->addScalar($value); } throw new Exception('Invalid argument for addition'); } /** * Execute the addition for a scalar * * @param mixed $value The numeric value to add to the current base value * @return $this The operation object, allowing multiple additions to be chained **/ protected function addScalar($value): Operator { for ($row = 0; $row < $this->rows; ++$row) { for ($column = 0; $column < $this->columns; ++$column) { $this->matrix[$row][$column] += $value; } } return $this; } /** * Execute the addition for a matrix * * @param Matrix $value The numeric value to add to the current base value * @return $this The operation object, allowing multiple additions to be chained * @throws Exception If the provided argument is not appropriate for the operation **/ protected function addMatrix(Matrix $value): Operator { $this->validateMatchingDimensions($value); for ($row = 0; $row < $this->rows; ++$row) { for ($column = 0; $column < $this->columns; ++$column) { $this->matrix[$row][$column] += $value->getValue($row + 1, $column + 1); } } return $this; } } Division.php000064400000001755152267532600007061 0ustar00multiplyMatrix($value, $type); } elseif (is_numeric($value)) { return $this->multiplyScalar(1 / $value, $type); } throw new Exception('Invalid argument for division'); } } Subtraction.php000064400000004100152267532600007555 0ustar00subtractMatrix($value); } elseif (is_numeric($value)) { return $this->subtractScalar($value); } throw new Exception('Invalid argument for subtraction'); } /** * Execute the subtraction for a scalar * * @param mixed $value The numeric value to subtracted from the current base value * @return $this The operation object, allowing multiple additions to be chained **/ protected function subtractScalar($value): Operator { for ($row = 0; $row < $this->rows; ++$row) { for ($column = 0; $column < $this->columns; ++$column) { $this->matrix[$row][$column] -= $value; } } return $this; } /** * Execute the subtraction for a matrix * * @param Matrix $value The numeric value to subtract from the current base value * @return $this The operation object, allowing multiple subtractions to be chained * @throws Exception If the provided argument is not appropriate for the operation **/ protected function subtractMatrix(Matrix $value): Operator { $this->validateMatchingDimensions($value); for ($row = 0; $row < $this->rows; ++$row) { for ($column = 0; $column < $this->columns; ++$column) { $this->matrix[$row][$column] -= $value->getValue($row + 1, $column + 1); } } return $this; } } DirectSum.php000064400000003577152267532600007200 0ustar00directSumMatrix($value); } throw new Exception('Invalid argument for addition'); } /** * Execute the direct sum for a matrix * * @param Matrix $value The numeric value to concatenate/direct sum with the current base value * @return $this The operation object, allowing multiple additions to be chained **/ private function directSumMatrix($value): Operator { $originalColumnCount = count($this->matrix[0]); $originalRowCount = count($this->matrix); $valColumnCount = $value->columns; $valRowCount = $value->rows; $value = $value->toArray(); for ($row = 0; $row < $this->rows; ++$row) { $this->matrix[$row] = array_merge($this->matrix[$row], array_fill(0, $valColumnCount, 0)); } $this->matrix = array_merge( $this->matrix, array_fill(0, $valRowCount, array_fill(0, $originalColumnCount, 0)) ); for ($row = $originalRowCount; $row < $originalRowCount + $valRowCount; ++$row) { array_splice( $this->matrix[$row], $originalColumnCount, $valColumnCount, $value[$row - $originalRowCount] ); } return $this; } } Multiplication.php000064400000005544152267532600010272 0ustar00multiplyMatrix($value, $type); } elseif (is_numeric($value)) { return $this->multiplyScalar($value, $type); } throw new Exception("Invalid argument for $type"); } /** * Execute the multiplication for a scalar * * @param mixed $value The numeric value to multiply with the current base value * @return $this The operation object, allowing multiple mutiplications to be chained **/ protected function multiplyScalar($value, string $type = 'multiplication'): Operator { try { for ($row = 0; $row < $this->rows; ++$row) { for ($column = 0; $column < $this->columns; ++$column) { $this->matrix[$row][$column] *= $value; } } } catch (Throwable $e) { throw new Exception("Invalid argument for $type"); } return $this; } /** * Execute the multiplication for a matrix * * @param Matrix $value The numeric value to multiply with the current base value * @return $this The operation object, allowing multiple mutiplications to be chained * @throws Exception If the provided argument is not appropriate for the operation **/ protected function multiplyMatrix(Matrix $value, string $type = 'multiplication'): Operator { $this->validateReflectingDimensions($value); $newRows = $this->rows; $newColumns = $value->columns; $matrix = Builder::createFilledMatrix(0, $newRows, $newColumns) ->toArray(); try { for ($row = 0; $row < $newRows; ++$row) { for ($column = 0; $column < $newColumns; ++$column) { $columnData = $value->getColumns($column + 1)->toArray(); foreach ($this->matrix[$row] as $key => $valueData) { $matrix[$row][$column] += $valueData * $columnData[$key][0]; } } } } catch (Throwable $e) { throw new Exception("Invalid argument for $type"); } $this->matrix = $matrix; return $this; } } Operator.php000064400000003721152267532600007063 0ustar00rows = $matrix->rows; $this->columns = $matrix->columns; $this->matrix = $matrix->toArray(); } /** * Compare the dimensions of the matrices being operated on to see if they are valid for addition/subtraction * * @param Matrix $matrix The second Matrix object on which the operation will be performed * @throws Exception */ protected function validateMatchingDimensions(Matrix $matrix): void { if (($this->rows != $matrix->rows) || ($this->columns != $matrix->columns)) { throw new Exception('Matrices have mismatched dimensions'); } } /** * Compare the dimensions of the matrices being operated on to see if they are valid for multiplication/division * * @param Matrix $matrix The second Matrix object on which the operation will be performed * @throws Exception */ protected function validateReflectingDimensions(Matrix $matrix): void { if ($this->columns != $matrix->rows) { throw new Exception('Matrices have mismatched dimensions'); } } /** * Return the result of the operation * * @return Matrix */ public function result(): Matrix { return new Matrix($this->matrix); } }