File indexing completed on 2024-12-22 05:36:22
0001 <?php 0002 0003 /** 0004 * Class for converting between different unit-lengths as specified by 0005 * CSS. 0006 */ 0007 class HTMLPurifier_UnitConverter 0008 { 0009 0010 const ENGLISH = 1; 0011 const METRIC = 2; 0012 const DIGITAL = 3; 0013 0014 /** 0015 * Units information array. Units are grouped into measuring systems 0016 * (English, Metric), and are assigned an integer representing 0017 * the conversion factor between that unit and the smallest unit in 0018 * the system. Numeric indexes are actually magical constants that 0019 * encode conversion data from one system to the next, with a O(n^2) 0020 * constraint on memory (this is generally not a problem, since 0021 * the number of measuring systems is small.) 0022 */ 0023 protected static $units = array( 0024 self::ENGLISH => array( 0025 'px' => 3, // This is as per CSS 2.1 and Firefox. Your mileage may vary 0026 'pt' => 4, 0027 'pc' => 48, 0028 'in' => 288, 0029 self::METRIC => array('pt', '0.352777778', 'mm'), 0030 ), 0031 self::METRIC => array( 0032 'mm' => 1, 0033 'cm' => 10, 0034 self::ENGLISH => array('mm', '2.83464567', 'pt'), 0035 ), 0036 ); 0037 0038 /** 0039 * Minimum bcmath precision for output. 0040 * @type int 0041 */ 0042 protected $outputPrecision; 0043 0044 /** 0045 * Bcmath precision for internal calculations. 0046 * @type int 0047 */ 0048 protected $internalPrecision; 0049 0050 /** 0051 * Whether or not BCMath is available. 0052 * @type bool 0053 */ 0054 private $bcmath; 0055 0056 public function __construct($output_precision = 4, $internal_precision = 10, $force_no_bcmath = false) 0057 { 0058 $this->outputPrecision = $output_precision; 0059 $this->internalPrecision = $internal_precision; 0060 $this->bcmath = !$force_no_bcmath && function_exists('bcmul'); 0061 } 0062 0063 /** 0064 * Converts a length object of one unit into another unit. 0065 * @param HTMLPurifier_Length $length 0066 * Instance of HTMLPurifier_Length to convert. You must validate() 0067 * it before passing it here! 0068 * @param string $to_unit 0069 * Unit to convert to. 0070 * @return HTMLPurifier_Length|bool 0071 * @note 0072 * About precision: This conversion function pays very special 0073 * attention to the incoming precision of values and attempts 0074 * to maintain a number of significant figure. Results are 0075 * fairly accurate up to nine digits. Some caveats: 0076 * - If a number is zero-padded as a result of this significant 0077 * figure tracking, the zeroes will be eliminated. 0078 * - If a number contains less than four sigfigs ($outputPrecision) 0079 * and this causes some decimals to be excluded, those 0080 * decimals will be added on. 0081 */ 0082 public function convert($length, $to_unit) 0083 { 0084 if (!$length->isValid()) { 0085 return false; 0086 } 0087 0088 $n = $length->getN(); 0089 $unit = $length->getUnit(); 0090 0091 if ($n === '0' || $unit === false) { 0092 return new HTMLPurifier_Length('0', false); 0093 } 0094 0095 $state = $dest_state = false; 0096 foreach (self::$units as $k => $x) { 0097 if (isset($x[$unit])) { 0098 $state = $k; 0099 } 0100 if (isset($x[$to_unit])) { 0101 $dest_state = $k; 0102 } 0103 } 0104 if (!$state || !$dest_state) { 0105 return false; 0106 } 0107 0108 // Some calculations about the initial precision of the number; 0109 // this will be useful when we need to do final rounding. 0110 $sigfigs = $this->getSigFigs($n); 0111 if ($sigfigs < $this->outputPrecision) { 0112 $sigfigs = $this->outputPrecision; 0113 } 0114 0115 // BCMath's internal precision deals only with decimals. Use 0116 // our default if the initial number has no decimals, or increase 0117 // it by how ever many decimals, thus, the number of guard digits 0118 // will always be greater than or equal to internalPrecision. 0119 $log = (int)floor(log(abs($n), 10)); 0120 $cp = ($log < 0) ? $this->internalPrecision - $log : $this->internalPrecision; // internal precision 0121 0122 for ($i = 0; $i < 2; $i++) { 0123 0124 // Determine what unit IN THIS SYSTEM we need to convert to 0125 if ($dest_state === $state) { 0126 // Simple conversion 0127 $dest_unit = $to_unit; 0128 } else { 0129 // Convert to the smallest unit, pending a system shift 0130 $dest_unit = self::$units[$state][$dest_state][0]; 0131 } 0132 0133 // Do the conversion if necessary 0134 if ($dest_unit !== $unit) { 0135 $factor = $this->div(self::$units[$state][$unit], self::$units[$state][$dest_unit], $cp); 0136 $n = $this->mul($n, $factor, $cp); 0137 $unit = $dest_unit; 0138 } 0139 0140 // Output was zero, so bail out early. Shouldn't ever happen. 0141 if ($n === '') { 0142 $n = '0'; 0143 $unit = $to_unit; 0144 break; 0145 } 0146 0147 // It was a simple conversion, so bail out 0148 if ($dest_state === $state) { 0149 break; 0150 } 0151 0152 if ($i !== 0) { 0153 // Conversion failed! Apparently, the system we forwarded 0154 // to didn't have this unit. This should never happen! 0155 return false; 0156 } 0157 0158 // Pre-condition: $i == 0 0159 0160 // Perform conversion to next system of units 0161 $n = $this->mul($n, self::$units[$state][$dest_state][1], $cp); 0162 $unit = self::$units[$state][$dest_state][2]; 0163 $state = $dest_state; 0164 0165 // One more loop around to convert the unit in the new system. 0166 0167 } 0168 0169 // Post-condition: $unit == $to_unit 0170 if ($unit !== $to_unit) { 0171 return false; 0172 } 0173 0174 // Useful for debugging: 0175 //echo "<pre>n"; 0176 //echo "$n\nsigfigs = $sigfigs\nnew_log = $new_log\nlog = $log\nrp = $rp\n</pre>\n"; 0177 0178 $n = $this->round($n, $sigfigs); 0179 if (strpos($n, '.') !== false) { 0180 $n = rtrim($n, '0'); 0181 } 0182 $n = rtrim($n, '.'); 0183 0184 return new HTMLPurifier_Length($n, $unit); 0185 } 0186 0187 /** 0188 * Returns the number of significant figures in a string number. 0189 * @param string $n Decimal number 0190 * @return int number of sigfigs 0191 */ 0192 public function getSigFigs($n) 0193 { 0194 $n = ltrim($n, '0+-'); 0195 $dp = strpos($n, '.'); // decimal position 0196 if ($dp === false) { 0197 $sigfigs = strlen(rtrim($n, '0')); 0198 } else { 0199 $sigfigs = strlen(ltrim($n, '0.')); // eliminate extra decimal character 0200 if ($dp !== 0) { 0201 $sigfigs--; 0202 } 0203 } 0204 return $sigfigs; 0205 } 0206 0207 /** 0208 * Adds two numbers, using arbitrary precision when available. 0209 * @param string $s1 0210 * @param string $s2 0211 * @param int $scale 0212 * @return string 0213 */ 0214 private function add($s1, $s2, $scale) 0215 { 0216 if ($this->bcmath) { 0217 return bcadd($s1, $s2, $scale); 0218 } else { 0219 return $this->scale((float)$s1 + (float)$s2, $scale); 0220 } 0221 } 0222 0223 /** 0224 * Multiples two numbers, using arbitrary precision when available. 0225 * @param string $s1 0226 * @param string $s2 0227 * @param int $scale 0228 * @return string 0229 */ 0230 private function mul($s1, $s2, $scale) 0231 { 0232 if ($this->bcmath) { 0233 return bcmul($s1, $s2, $scale); 0234 } else { 0235 return $this->scale((float)$s1 * (float)$s2, $scale); 0236 } 0237 } 0238 0239 /** 0240 * Divides two numbers, using arbitrary precision when available. 0241 * @param string $s1 0242 * @param string $s2 0243 * @param int $scale 0244 * @return string 0245 */ 0246 private function div($s1, $s2, $scale) 0247 { 0248 if ($this->bcmath) { 0249 return bcdiv($s1, $s2, $scale); 0250 } else { 0251 return $this->scale((float)$s1 / (float)$s2, $scale); 0252 } 0253 } 0254 0255 /** 0256 * Rounds a number according to the number of sigfigs it should have, 0257 * using arbitrary precision when available. 0258 * @param float $n 0259 * @param int $sigfigs 0260 * @return string 0261 */ 0262 private function round($n, $sigfigs) 0263 { 0264 $new_log = (int)floor(log(abs($n), 10)); // Number of digits left of decimal - 1 0265 $rp = $sigfigs - $new_log - 1; // Number of decimal places needed 0266 $neg = $n < 0 ? '-' : ''; // Negative sign 0267 if ($this->bcmath) { 0268 if ($rp >= 0) { 0269 $n = bcadd($n, $neg . '0.' . str_repeat('0', $rp) . '5', $rp + 1); 0270 $n = bcdiv($n, '1', $rp); 0271 } else { 0272 // This algorithm partially depends on the standardized 0273 // form of numbers that comes out of bcmath. 0274 $n = bcadd($n, $neg . '5' . str_repeat('0', $new_log - $sigfigs), 0); 0275 $n = substr($n, 0, $sigfigs + strlen($neg)) . str_repeat('0', $new_log - $sigfigs + 1); 0276 } 0277 return $n; 0278 } else { 0279 return $this->scale(round($n, $sigfigs - $new_log - 1), $rp + 1); 0280 } 0281 } 0282 0283 /** 0284 * Scales a float to $scale digits right of decimal point, like BCMath. 0285 * @param float $r 0286 * @param int $scale 0287 * @return string 0288 */ 0289 private function scale($r, $scale) 0290 { 0291 if ($scale < 0) { 0292 // The f sprintf type doesn't support negative numbers, so we 0293 // need to cludge things manually. First get the string. 0294 $r = sprintf('%.0f', (float)$r); 0295 // Due to floating point precision loss, $r will more than likely 0296 // look something like 4652999999999.9234. We grab one more digit 0297 // than we need to precise from $r and then use that to round 0298 // appropriately. 0299 $precise = (string)round(substr($r, 0, strlen($r) + $scale), -1); 0300 // Now we return it, truncating the zero that was rounded off. 0301 return substr($precise, 0, -1) . str_repeat('0', -$scale + 1); 0302 } 0303 return sprintf('%.' . $scale . 'f', (float)$r); 0304 } 0305 } 0306 0307 // vim: et sw=4 sts=4