1: <?php
2:
3: /**
4: * Class for converting between different unit-lengths as specified by
5: * CSS.
6: */
7: class HTMLPurifier_UnitConverter
8: {
9:
10: const ENGLISH = 1;
11: const METRIC = 2;
12: const DIGITAL = 3;
13:
14: /**
15: * Units information array. Units are grouped into measuring systems
16: * (English, Metric), and are assigned an integer representing
17: * the conversion factor between that unit and the smallest unit in
18: * the system. Numeric indexes are actually magical constants that
19: * encode conversion data from one system to the next, with a O(n^2)
20: * constraint on memory (this is generally not a problem, since
21: * the number of measuring systems is small.)
22: */
23: protected static $units = array(
24: self::ENGLISH => array(
25: 'px' => 3, // This is as per CSS 2.1 and Firefox. Your mileage may vary
26: 'pt' => 4,
27: 'pc' => 48,
28: 'in' => 288,
29: self::METRIC => array('pt', '0.352777778', 'mm'),
30: ),
31: self::METRIC => array(
32: 'mm' => 1,
33: 'cm' => 10,
34: self::ENGLISH => array('mm', '2.83464567', 'pt'),
35: ),
36: );
37:
38: /**
39: * Minimum bcmath precision for output.
40: * @type int
41: */
42: protected $outputPrecision;
43:
44: /**
45: * Bcmath precision for internal calculations.
46: * @type int
47: */
48: protected $internalPrecision;
49:
50: /**
51: * Whether or not BCMath is available.
52: * @type bool
53: */
54: private $bcmath;
55:
56: public function __construct($output_precision = 4, $internal_precision = 10, $force_no_bcmath = false)
57: {
58: $this->outputPrecision = $output_precision;
59: $this->internalPrecision = $internal_precision;
60: $this->bcmath = !$force_no_bcmath && function_exists('bcmul');
61: }
62:
63: /**
64: * Converts a length object of one unit into another unit.
65: * @param HTMLPurifier_Length $length
66: * Instance of HTMLPurifier_Length to convert. You must validate()
67: * it before passing it here!
68: * @param string $to_unit
69: * Unit to convert to.
70: * @return HTMLPurifier_Length|bool
71: * @note
72: * About precision: This conversion function pays very special
73: * attention to the incoming precision of values and attempts
74: * to maintain a number of significant figure. Results are
75: * fairly accurate up to nine digits. Some caveats:
76: * - If a number is zero-padded as a result of this significant
77: * figure tracking, the zeroes will be eliminated.
78: * - If a number contains less than four sigfigs ($outputPrecision)
79: * and this causes some decimals to be excluded, those
80: * decimals will be added on.
81: */
82: public function convert($length, $to_unit)
83: {
84: if (!$length->isValid()) {
85: return false;
86: }
87:
88: $n = $length->getN();
89: $unit = $length->getUnit();
90:
91: if ($n === '0' || $unit === false) {
92: return new HTMLPurifier_Length('0', false);
93: }
94:
95: $state = $dest_state = false;
96: foreach (self::$units as $k => $x) {
97: if (isset($x[$unit])) {
98: $state = $k;
99: }
100: if (isset($x[$to_unit])) {
101: $dest_state = $k;
102: }
103: }
104: if (!$state || !$dest_state) {
105: return false;
106: }
107:
108: // Some calculations about the initial precision of the number;
109: // this will be useful when we need to do final rounding.
110: $sigfigs = $this->getSigFigs($n);
111: if ($sigfigs < $this->outputPrecision) {
112: $sigfigs = $this->outputPrecision;
113: }
114:
115: // BCMath's internal precision deals only with decimals. Use
116: // our default if the initial number has no decimals, or increase
117: // it by how ever many decimals, thus, the number of guard digits
118: // will always be greater than or equal to internalPrecision.
119: $log = (int)floor(log(abs($n), 10));
120: $cp = ($log < 0) ? $this->internalPrecision - $log : $this->internalPrecision; // internal precision
121:
122: for ($i = 0; $i < 2; $i++) {
123:
124: // Determine what unit IN THIS SYSTEM we need to convert to
125: if ($dest_state === $state) {
126: // Simple conversion
127: $dest_unit = $to_unit;
128: } else {
129: // Convert to the smallest unit, pending a system shift
130: $dest_unit = self::$units[$state][$dest_state][0];
131: }
132:
133: // Do the conversion if necessary
134: if ($dest_unit !== $unit) {
135: $factor = $this->div(self::$units[$state][$unit], self::$units[$state][$dest_unit], $cp);
136: $n = $this->mul($n, $factor, $cp);
137: $unit = $dest_unit;
138: }
139:
140: // Output was zero, so bail out early. Shouldn't ever happen.
141: if ($n === '') {
142: $n = '0';
143: $unit = $to_unit;
144: break;
145: }
146:
147: // It was a simple conversion, so bail out
148: if ($dest_state === $state) {
149: break;
150: }
151:
152: if ($i !== 0) {
153: // Conversion failed! Apparently, the system we forwarded
154: // to didn't have this unit. This should never happen!
155: return false;
156: }
157:
158: // Pre-condition: $i == 0
159:
160: // Perform conversion to next system of units
161: $n = $this->mul($n, self::$units[$state][$dest_state][1], $cp);
162: $unit = self::$units[$state][$dest_state][2];
163: $state = $dest_state;
164:
165: // One more loop around to convert the unit in the new system.
166:
167: }
168:
169: // Post-condition: $unit == $to_unit
170: if ($unit !== $to_unit) {
171: return false;
172: }
173:
174: // Useful for debugging:
175: //echo "<pre>n";
176: //echo "$n\nsigfigs = $sigfigs\nnew_log = $new_log\nlog = $log\nrp = $rp\n</pre>\n";
177:
178: $n = $this->round($n, $sigfigs);
179: if (strpos($n, '.') !== false) {
180: $n = rtrim($n, '0');
181: }
182: $n = rtrim($n, '.');
183:
184: return new HTMLPurifier_Length($n, $unit);
185: }
186:
187: /**
188: * Returns the number of significant figures in a string number.
189: * @param string $n Decimal number
190: * @return int number of sigfigs
191: */
192: public function getSigFigs($n)
193: {
194: $n = ltrim($n, '0+-');
195: $dp = strpos($n, '.'); // decimal position
196: if ($dp === false) {
197: $sigfigs = strlen(rtrim($n, '0'));
198: } else {
199: $sigfigs = strlen(ltrim($n, '0.')); // eliminate extra decimal character
200: if ($dp !== 0) {
201: $sigfigs--;
202: }
203: }
204: return $sigfigs;
205: }
206:
207: /**
208: * Adds two numbers, using arbitrary precision when available.
209: * @param string $s1
210: * @param string $s2
211: * @param int $scale
212: * @return string
213: */
214: private function add($s1, $s2, $scale)
215: {
216: if ($this->bcmath) {
217: return bcadd($s1, $s2, $scale);
218: } else {
219: return $this->scale((float)$s1 + (float)$s2, $scale);
220: }
221: }
222:
223: /**
224: * Multiples two numbers, using arbitrary precision when available.
225: * @param string $s1
226: * @param string $s2
227: * @param int $scale
228: * @return string
229: */
230: private function mul($s1, $s2, $scale)
231: {
232: if ($this->bcmath) {
233: return bcmul($s1, $s2, $scale);
234: } else {
235: return $this->scale((float)$s1 * (float)$s2, $scale);
236: }
237: }
238:
239: /**
240: * Divides two numbers, using arbitrary precision when available.
241: * @param string $s1
242: * @param string $s2
243: * @param int $scale
244: * @return string
245: */
246: private function div($s1, $s2, $scale)
247: {
248: if ($this->bcmath) {
249: return bcdiv($s1, $s2, $scale);
250: } else {
251: return $this->scale((float)$s1 / (float)$s2, $scale);
252: }
253: }
254:
255: /**
256: * Rounds a number according to the number of sigfigs it should have,
257: * using arbitrary precision when available.
258: * @param float $n
259: * @param int $sigfigs
260: * @return string
261: */
262: private function round($n, $sigfigs)
263: {
264: $new_log = (int)floor(log(abs($n), 10)); // Number of digits left of decimal - 1
265: $rp = $sigfigs - $new_log - 1; // Number of decimal places needed
266: $neg = $n < 0 ? '-' : ''; // Negative sign
267: if ($this->bcmath) {
268: if ($rp >= 0) {
269: $n = bcadd($n, $neg . '0.' . str_repeat('0', $rp) . '5', $rp + 1);
270: $n = bcdiv($n, '1', $rp);
271: } else {
272: // This algorithm partially depends on the standardized
273: // form of numbers that comes out of bcmath.
274: $n = bcadd($n, $neg . '5' . str_repeat('0', $new_log - $sigfigs), 0);
275: $n = substr($n, 0, $sigfigs + strlen($neg)) . str_repeat('0', $new_log - $sigfigs + 1);
276: }
277: return $n;
278: } else {
279: return $this->scale(round($n, $sigfigs - $new_log - 1), $rp + 1);
280: }
281: }
282:
283: /**
284: * Scales a float to $scale digits right of decimal point, like BCMath.
285: * @param float $r
286: * @param int $scale
287: * @return string
288: */
289: private function scale($r, $scale)
290: {
291: if ($scale < 0) {
292: // The f sprintf type doesn't support negative numbers, so we
293: // need to cludge things manually. First get the string.
294: $r = sprintf('%.0f', (float)$r);
295: // Due to floating point precision loss, $r will more than likely
296: // look something like 4652999999999.9234. We grab one more digit
297: // than we need to precise from $r and then use that to round
298: // appropriately.
299: $precise = (string)round(substr($r, 0, strlen($r) + $scale), -1);
300: // Now we return it, truncating the zero that was rounded off.
301: return substr($precise, 0, -1) . str_repeat('0', -$scale + 1);
302: }
303: return sprintf('%.' . $scale . 'f', (float)$r);
304: }
305: }
306:
307: // vim: et sw=4 sts=4
308: