@@ -248,8 +248,8 @@ |
||
248 | 248 | */ |
249 | 249 | public static function statementIf($condition = true, $returnIfTrue = 0, $returnIfFalse = false) |
250 | 250 | { |
251 | - $condition = (is_null($condition)) ? true : (boolean) Functions::flattenSingleValue($condition); |
|
252 | - $returnIfTrue = (is_null($returnIfTrue)) ? 0 : Functions::flattenSingleValue($returnIfTrue); |
|
251 | + $condition = (is_null($condition)) ? true : (boolean) Functions::flattenSingleValue($condition); |
|
252 | + $returnIfTrue = (is_null($returnIfTrue)) ? 0 : Functions::flattenSingleValue($returnIfTrue); |
|
253 | 253 | $returnIfFalse = (is_null($returnIfFalse)) ? false : Functions::flattenSingleValue($returnIfFalse); |
254 | 254 | |
255 | 255 | return ($condition) ? $returnIfTrue : $returnIfFalse; |
@@ -35,7 +35,7 @@ |
||
35 | 35 | * @private |
36 | 36 | * @var string |
37 | 37 | */ |
38 | - protected static $timezone = 'UTC'; |
|
38 | + protected static $timezone = 'UTC'; |
|
39 | 39 | |
40 | 40 | /** |
41 | 41 | * Validate a Timezone name |
@@ -41,117 +41,117 @@ |
||
41 | 41 | { |
42 | 42 | switch ($codePage) { |
43 | 43 | case 367: |
44 | - return 'ASCII'; // ASCII |
|
44 | + return 'ASCII'; // ASCII |
|
45 | 45 | case 437: |
46 | - return 'CP437'; // OEM US |
|
46 | + return 'CP437'; // OEM US |
|
47 | 47 | case 720: |
48 | - throw new \PHPExcel\Exception('Code page 720 not supported.'); // OEM Arabic |
|
48 | + throw new \PHPExcel\Exception('Code page 720 not supported.'); // OEM Arabic |
|
49 | 49 | case 737: |
50 | - return 'CP737'; // OEM Greek |
|
50 | + return 'CP737'; // OEM Greek |
|
51 | 51 | case 775: |
52 | - return 'CP775'; // OEM Baltic |
|
52 | + return 'CP775'; // OEM Baltic |
|
53 | 53 | case 850: |
54 | - return 'CP850'; // OEM Latin I |
|
54 | + return 'CP850'; // OEM Latin I |
|
55 | 55 | case 852: |
56 | - return 'CP852'; // OEM Latin II (Central European) |
|
56 | + return 'CP852'; // OEM Latin II (Central European) |
|
57 | 57 | case 855: |
58 | - return 'CP855'; // OEM Cyrillic |
|
58 | + return 'CP855'; // OEM Cyrillic |
|
59 | 59 | case 857: |
60 | - return 'CP857'; // OEM Turkish |
|
60 | + return 'CP857'; // OEM Turkish |
|
61 | 61 | case 858: |
62 | - return 'CP858'; // OEM Multilingual Latin I with Euro |
|
62 | + return 'CP858'; // OEM Multilingual Latin I with Euro |
|
63 | 63 | case 860: |
64 | - return 'CP860'; // OEM Portugese |
|
64 | + return 'CP860'; // OEM Portugese |
|
65 | 65 | case 861: |
66 | - return 'CP861'; // OEM Icelandic |
|
66 | + return 'CP861'; // OEM Icelandic |
|
67 | 67 | case 862: |
68 | - return 'CP862'; // OEM Hebrew |
|
68 | + return 'CP862'; // OEM Hebrew |
|
69 | 69 | case 863: |
70 | - return 'CP863'; // OEM Canadian (French) |
|
70 | + return 'CP863'; // OEM Canadian (French) |
|
71 | 71 | case 864: |
72 | - return 'CP864'; // OEM Arabic |
|
72 | + return 'CP864'; // OEM Arabic |
|
73 | 73 | case 865: |
74 | - return 'CP865'; // OEM Nordic |
|
74 | + return 'CP865'; // OEM Nordic |
|
75 | 75 | case 866: |
76 | - return 'CP866'; // OEM Cyrillic (Russian) |
|
76 | + return 'CP866'; // OEM Cyrillic (Russian) |
|
77 | 77 | case 869: |
78 | - return 'CP869'; // OEM Greek (Modern) |
|
78 | + return 'CP869'; // OEM Greek (Modern) |
|
79 | 79 | case 874: |
80 | - return 'CP874'; // ANSI Thai |
|
80 | + return 'CP874'; // ANSI Thai |
|
81 | 81 | case 932: |
82 | - return 'CP932'; // ANSI Japanese Shift-JIS |
|
82 | + return 'CP932'; // ANSI Japanese Shift-JIS |
|
83 | 83 | case 936: |
84 | - return 'CP936'; // ANSI Chinese Simplified GBK |
|
84 | + return 'CP936'; // ANSI Chinese Simplified GBK |
|
85 | 85 | case 949: |
86 | - return 'CP949'; // ANSI Korean (Wansung) |
|
86 | + return 'CP949'; // ANSI Korean (Wansung) |
|
87 | 87 | case 950: |
88 | - return 'CP950'; // ANSI Chinese Traditional BIG5 |
|
88 | + return 'CP950'; // ANSI Chinese Traditional BIG5 |
|
89 | 89 | case 1200: |
90 | 90 | return 'UTF-16LE'; // UTF-16 (BIFF8) |
91 | 91 | case 1250: |
92 | - return 'CP1250'; // ANSI Latin II (Central European) |
|
92 | + return 'CP1250'; // ANSI Latin II (Central European) |
|
93 | 93 | case 1251: |
94 | - return 'CP1251'; // ANSI Cyrillic |
|
94 | + return 'CP1251'; // ANSI Cyrillic |
|
95 | 95 | case 0: |
96 | 96 | // CodePage is not always correctly set when the xls file was saved by Apple's Numbers program |
97 | 97 | case 1252: |
98 | - return 'CP1252'; // ANSI Latin I (BIFF4-BIFF7) |
|
98 | + return 'CP1252'; // ANSI Latin I (BIFF4-BIFF7) |
|
99 | 99 | case 1253: |
100 | - return 'CP1253'; // ANSI Greek |
|
100 | + return 'CP1253'; // ANSI Greek |
|
101 | 101 | case 1254: |
102 | - return 'CP1254'; // ANSI Turkish |
|
102 | + return 'CP1254'; // ANSI Turkish |
|
103 | 103 | case 1255: |
104 | - return 'CP1255'; // ANSI Hebrew |
|
104 | + return 'CP1255'; // ANSI Hebrew |
|
105 | 105 | case 1256: |
106 | - return 'CP1256'; // ANSI Arabic |
|
106 | + return 'CP1256'; // ANSI Arabic |
|
107 | 107 | case 1257: |
108 | - return 'CP1257'; // ANSI Baltic |
|
108 | + return 'CP1257'; // ANSI Baltic |
|
109 | 109 | case 1258: |
110 | - return 'CP1258'; // ANSI Vietnamese |
|
110 | + return 'CP1258'; // ANSI Vietnamese |
|
111 | 111 | case 1361: |
112 | - return 'CP1361'; // ANSI Korean (Johab) |
|
112 | + return 'CP1361'; // ANSI Korean (Johab) |
|
113 | 113 | case 10000: |
114 | - return 'MAC'; // Apple Roman |
|
114 | + return 'MAC'; // Apple Roman |
|
115 | 115 | case 10001: |
116 | - return 'CP932'; // Macintosh Japanese |
|
116 | + return 'CP932'; // Macintosh Japanese |
|
117 | 117 | case 10002: |
118 | - return 'CP950'; // Macintosh Chinese Traditional |
|
118 | + return 'CP950'; // Macintosh Chinese Traditional |
|
119 | 119 | case 10003: |
120 | - return 'CP1361'; // Macintosh Korean |
|
120 | + return 'CP1361'; // Macintosh Korean |
|
121 | 121 | case 10004: |
122 | 122 | return 'MACARABIC'; // Apple Arabic |
123 | 123 | case 10005: |
124 | 124 | return 'MACHEBREW'; // Apple Hebrew |
125 | 125 | case 10006: |
126 | - return 'MACGREEK'; // Macintosh Greek |
|
126 | + return 'MACGREEK'; // Macintosh Greek |
|
127 | 127 | case 10007: |
128 | - return 'MACCYRILLIC'; // Macintosh Cyrillic |
|
128 | + return 'MACCYRILLIC'; // Macintosh Cyrillic |
|
129 | 129 | case 10008: |
130 | - return 'CP936'; // Macintosh - Simplified Chinese (GB 2312) |
|
130 | + return 'CP936'; // Macintosh - Simplified Chinese (GB 2312) |
|
131 | 131 | case 10010: |
132 | - return 'MACROMANIA'; // Macintosh Romania |
|
132 | + return 'MACROMANIA'; // Macintosh Romania |
|
133 | 133 | case 10017: |
134 | - return 'MACUKRAINE'; // Macintosh Ukraine |
|
134 | + return 'MACUKRAINE'; // Macintosh Ukraine |
|
135 | 135 | case 10021: |
136 | - return 'MACTHAI'; // Macintosh Thai |
|
136 | + return 'MACTHAI'; // Macintosh Thai |
|
137 | 137 | case 10029: |
138 | - return 'MACCENTRALEUROPE'; // Macintosh Central Europe |
|
138 | + return 'MACCENTRALEUROPE'; // Macintosh Central Europe |
|
139 | 139 | case 10079: |
140 | - return 'MACICELAND'; // Macintosh Icelandic |
|
140 | + return 'MACICELAND'; // Macintosh Icelandic |
|
141 | 141 | case 10081: |
142 | - return 'MACTURKISH'; // Macintosh Turkish |
|
142 | + return 'MACTURKISH'; // Macintosh Turkish |
|
143 | 143 | case 10082: |
144 | - return 'MACCROATIAN'; // Macintosh Croatian |
|
144 | + return 'MACCROATIAN'; // Macintosh Croatian |
|
145 | 145 | case 21010: |
146 | - return 'UTF-16LE'; // UTF-16 (BIFF8) This isn't correct, but some Excel writer libraries erroneously use Codepage 21010 for UTF-16LE |
|
146 | + return 'UTF-16LE'; // UTF-16 (BIFF8) This isn't correct, but some Excel writer libraries erroneously use Codepage 21010 for UTF-16LE |
|
147 | 147 | case 32768: |
148 | - return 'MAC'; // Apple Roman |
|
148 | + return 'MAC'; // Apple Roman |
|
149 | 149 | case 32769: |
150 | - throw new \PHPExcel\Exception('Code page 32769 not supported.'); // ANSI Latin I (BIFF2-BIFF3) |
|
150 | + throw new \PHPExcel\Exception('Code page 32769 not supported.'); // ANSI Latin I (BIFF2-BIFF3) |
|
151 | 151 | case 65000: |
152 | - return 'UTF-7'; // Unicode (UTF-7) |
|
152 | + return 'UTF-7'; // Unicode (UTF-7) |
|
153 | 153 | case 65001: |
154 | - return 'UTF-8'; // Unicode (UTF-8) |
|
154 | + return 'UTF-8'; // Unicode (UTF-8) |
|
155 | 155 | } |
156 | 156 | throw new \PHPExcel\Exception('Unknown codepage: ' . $codePage); |
157 | 157 | } |
@@ -81,10 +81,10 @@ discard block |
||
81 | 81 | // Bowdler, Martin, Reinsch, and Wilkinson, Handbook for |
82 | 82 | // Auto. Comp., Vol.ii-Linear Algebra, and the corresponding |
83 | 83 | // Fortran subroutine in EISPACK. |
84 | - $this->d = $this->V[$this->n-1]; |
|
84 | + $this->d = $this->V[$this->n - 1]; |
|
85 | 85 | // Householder reduction to tridiagonal form. |
86 | - for ($i = $this->n-1; $i > 0; --$i) { |
|
87 | - $i_ = $i -1; |
|
86 | + for ($i = $this->n - 1; $i > 0; --$i) { |
|
87 | + $i_ = $i - 1; |
|
88 | 88 | // Scale to avoid under/overflow. |
89 | 89 | $h = $scale = 0.0; |
90 | 90 | $scale += array_sum(array_map(abs, $this->d)); |
@@ -116,7 +116,7 @@ discard block |
||
116 | 116 | $f = $this->d[$j]; |
117 | 117 | $this->V[$j][$i] = $f; |
118 | 118 | $g = $this->e[$j] + $this->V[$j][$j] * $f; |
119 | - for ($k = $j+1; $k <= $i_; ++$k) { |
|
119 | + for ($k = $j + 1; $k <= $i_; ++$k) { |
|
120 | 120 | $g += $this->V[$k][$j] * $this->d[$k]; |
121 | 121 | $this->e[$k] += $this->V[$k][$j] * $f; |
122 | 122 | } |
@@ -128,7 +128,7 @@ discard block |
||
128 | 128 | $f += $this->e[$j] * $this->d[$j]; |
129 | 129 | } |
130 | 130 | $hh = $f / (2 * $h); |
131 | - for ($j=0; $j < $i; ++$j) { |
|
131 | + for ($j = 0; $j < $i; ++$j) { |
|
132 | 132 | $this->e[$j] -= $hh * $this->d[$j]; |
133 | 133 | } |
134 | 134 | for ($j = 0; $j < $i; ++$j) { |
@@ -137,7 +137,7 @@ discard block |
||
137 | 137 | for ($k = $j; $k <= $i_; ++$k) { |
138 | 138 | $this->V[$k][$j] -= ($f * $this->e[$k] + $g * $this->d[$k]); |
139 | 139 | } |
140 | - $this->d[$j] = $this->V[$i-1][$j]; |
|
140 | + $this->d[$j] = $this->V[$i - 1][$j]; |
|
141 | 141 | $this->V[$i][$j] = 0.0; |
142 | 142 | } |
143 | 143 | } |
@@ -145,18 +145,18 @@ discard block |
||
145 | 145 | } |
146 | 146 | |
147 | 147 | // Accumulate transformations. |
148 | - for ($i = 0; $i < $this->n-1; ++$i) { |
|
149 | - $this->V[$this->n-1][$i] = $this->V[$i][$i]; |
|
148 | + for ($i = 0; $i < $this->n - 1; ++$i) { |
|
149 | + $this->V[$this->n - 1][$i] = $this->V[$i][$i]; |
|
150 | 150 | $this->V[$i][$i] = 1.0; |
151 | - $h = $this->d[$i+1]; |
|
151 | + $h = $this->d[$i + 1]; |
|
152 | 152 | if ($h != 0.0) { |
153 | 153 | for ($k = 0; $k <= $i; ++$k) { |
154 | - $this->d[$k] = $this->V[$k][$i+1] / $h; |
|
154 | + $this->d[$k] = $this->V[$k][$i + 1] / $h; |
|
155 | 155 | } |
156 | 156 | for ($j = 0; $j <= $i; ++$j) { |
157 | 157 | $g = 0.0; |
158 | 158 | for ($k = 0; $k <= $i; ++$k) { |
159 | - $g += $this->V[$k][$i+1] * $this->V[$k][$j]; |
|
159 | + $g += $this->V[$k][$i + 1] * $this->V[$k][$j]; |
|
160 | 160 | } |
161 | 161 | for ($k = 0; $k <= $i; ++$k) { |
162 | 162 | $this->V[$k][$j] -= $g * $this->d[$k]; |
@@ -164,13 +164,13 @@ discard block |
||
164 | 164 | } |
165 | 165 | } |
166 | 166 | for ($k = 0; $k <= $i; ++$k) { |
167 | - $this->V[$k][$i+1] = 0.0; |
|
167 | + $this->V[$k][$i + 1] = 0.0; |
|
168 | 168 | } |
169 | 169 | } |
170 | 170 | |
171 | - $this->d = $this->V[$this->n-1]; |
|
172 | - $this->V[$this->n-1] = array_fill(0, $j, 0.0); |
|
173 | - $this->V[$this->n-1][$this->n-1] = 1.0; |
|
171 | + $this->d = $this->V[$this->n - 1]; |
|
172 | + $this->V[$this->n - 1] = array_fill(0, $j, 0.0); |
|
173 | + $this->V[$this->n - 1][$this->n - 1] = 1.0; |
|
174 | 174 | $this->e[0] = 0.0; |
175 | 175 | } |
176 | 176 | |
@@ -187,9 +187,9 @@ discard block |
||
187 | 187 | private function tql2() |
188 | 188 | { |
189 | 189 | for ($i = 1; $i < $this->n; ++$i) { |
190 | - $this->e[$i-1] = $this->e[$i]; |
|
190 | + $this->e[$i - 1] = $this->e[$i]; |
|
191 | 191 | } |
192 | - $this->e[$this->n-1] = 0.0; |
|
192 | + $this->e[$this->n - 1] = 0.0; |
|
193 | 193 | $f = 0.0; |
194 | 194 | $tst1 = 0.0; |
195 | 195 | $eps = pow(2.0, -52.0); |
@@ -213,14 +213,14 @@ discard block |
||
213 | 213 | $iter += 1; |
214 | 214 | // Compute implicit shift |
215 | 215 | $g = $this->d[$l]; |
216 | - $p = ($this->d[$l+1] - $g) / (2.0 * $this->e[$l]); |
|
216 | + $p = ($this->d[$l + 1] - $g) / (2.0 * $this->e[$l]); |
|
217 | 217 | $r = hypo($p, 1.0); |
218 | 218 | if ($p < 0) { |
219 | 219 | $r *= -1; |
220 | 220 | } |
221 | 221 | $this->d[$l] = $this->e[$l] / ($p + $r); |
222 | - $this->d[$l+1] = $this->e[$l] * ($p + $r); |
|
223 | - $dl1 = $this->d[$l+1]; |
|
222 | + $this->d[$l + 1] = $this->e[$l] * ($p + $r); |
|
223 | + $dl1 = $this->d[$l + 1]; |
|
224 | 224 | $h = $g - $this->d[$l]; |
225 | 225 | for ($i = $l + 2; $i < $this->n; ++$i) { |
226 | 226 | $this->d[$i] -= $h; |
@@ -232,22 +232,22 @@ discard block |
||
232 | 232 | $c2 = $c3 = $c; |
233 | 233 | $el1 = $this->e[$l + 1]; |
234 | 234 | $s = $s2 = 0.0; |
235 | - for ($i = $m-1; $i >= $l; --$i) { |
|
235 | + for ($i = $m - 1; $i >= $l; --$i) { |
|
236 | 236 | $c3 = $c2; |
237 | 237 | $c2 = $c; |
238 | 238 | $s2 = $s; |
239 | 239 | $g = $c * $this->e[$i]; |
240 | 240 | $h = $c * $p; |
241 | 241 | $r = hypo($p, $this->e[$i]); |
242 | - $this->e[$i+1] = $s * $r; |
|
242 | + $this->e[$i + 1] = $s * $r; |
|
243 | 243 | $s = $this->e[$i] / $r; |
244 | 244 | $c = $p / $r; |
245 | 245 | $p = $c * $this->d[$i] - $s * $g; |
246 | - $this->d[$i+1] = $h + $s * ($c * $g + $s * $this->d[$i]); |
|
246 | + $this->d[$i + 1] = $h + $s * ($c * $g + $s * $this->d[$i]); |
|
247 | 247 | // Accumulate transformation. |
248 | 248 | for ($k = 0; $k < $this->n; ++$k) { |
249 | - $h = $this->V[$k][$i+1]; |
|
250 | - $this->V[$k][$i+1] = $s * $this->V[$k][$i] + $c * $h; |
|
249 | + $h = $this->V[$k][$i + 1]; |
|
250 | + $this->V[$k][$i + 1] = $s * $this->V[$k][$i] + $c * $h; |
|
251 | 251 | $this->V[$k][$i] = $c * $this->V[$k][$i] - $s * $h; |
252 | 252 | } |
253 | 253 | } |
@@ -265,7 +265,7 @@ discard block |
||
265 | 265 | for ($i = 0; $i < $this->n - 1; ++$i) { |
266 | 266 | $k = $i; |
267 | 267 | $p = $this->d[$i]; |
268 | - for ($j = $i+1; $j < $this->n; ++$j) { |
|
268 | + for ($j = $i + 1; $j < $this->n; ++$j) { |
|
269 | 269 | if ($this->d[$j] < $p) { |
270 | 270 | $k = $j; |
271 | 271 | $p = $this->d[$j]; |
@@ -296,19 +296,19 @@ discard block |
||
296 | 296 | private function orthes() |
297 | 297 | { |
298 | 298 | $low = 0; |
299 | - $high = $this->n-1; |
|
299 | + $high = $this->n - 1; |
|
300 | 300 | |
301 | - for ($m = $low+1; $m <= $high-1; ++$m) { |
|
301 | + for ($m = $low + 1; $m <= $high - 1; ++$m) { |
|
302 | 302 | // Scale column. |
303 | 303 | $scale = 0.0; |
304 | 304 | for ($i = $m; $i <= $high; ++$i) { |
305 | - $scale = $scale + abs($this->H[$i][$m-1]); |
|
305 | + $scale = $scale + abs($this->H[$i][$m - 1]); |
|
306 | 306 | } |
307 | 307 | if ($scale != 0.0) { |
308 | 308 | // Compute Householder transformation. |
309 | 309 | $h = 0.0; |
310 | 310 | for ($i = $high; $i >= $m; --$i) { |
311 | - $this->ort[$i] = $this->H[$i][$m-1] / $scale; |
|
311 | + $this->ort[$i] = $this->H[$i][$m - 1] / $scale; |
|
312 | 312 | $h += $this->ort[$i] * $this->ort[$i]; |
313 | 313 | } |
314 | 314 | $g = sqrt($h); |
@@ -340,7 +340,7 @@ discard block |
||
340 | 340 | } |
341 | 341 | } |
342 | 342 | $this->ort[$m] = $scale * $this->ort[$m]; |
343 | - $this->H[$m][$m-1] = $scale * $g; |
|
343 | + $this->H[$m][$m - 1] = $scale * $g; |
|
344 | 344 | } |
345 | 345 | } |
346 | 346 | |
@@ -350,10 +350,10 @@ discard block |
||
350 | 350 | $this->V[$i][$j] = ($i == $j ? 1.0 : 0.0); |
351 | 351 | } |
352 | 352 | } |
353 | - for ($m = $high-1; $m >= $low+1; --$m) { |
|
354 | - if ($this->H[$m][$m-1] != 0.0) { |
|
355 | - for ($i = $m+1; $i <= $high; ++$i) { |
|
356 | - $this->ort[$i] = $this->H[$i][$m-1]; |
|
353 | + for ($m = $high - 1; $m >= $low + 1; --$m) { |
|
354 | + if ($this->H[$m][$m - 1] != 0.0) { |
|
355 | + for ($i = $m + 1; $i <= $high; ++$i) { |
|
356 | + $this->ort[$i] = $this->H[$i][$m - 1]; |
|
357 | 357 | } |
358 | 358 | for ($j = $m; $j <= $high; ++$j) { |
359 | 359 | $g = 0.0; |
@@ -361,7 +361,7 @@ discard block |
||
361 | 361 | $g += $this->ort[$i] * $this->V[$i][$j]; |
362 | 362 | } |
363 | 363 | // Double division avoids possible underflow |
364 | - $g = ($g / $this->ort[$m]) / $this->H[$m][$m-1]; |
|
364 | + $g = ($g / $this->ort[$m]) / $this->H[$m][$m - 1]; |
|
365 | 365 | for ($i = $m; $i <= $high; ++$i) { |
366 | 366 | $this->V[$i][$j] += $g * $this->ort[$i]; |
367 | 367 | } |
@@ -418,7 +418,7 @@ discard block |
||
418 | 418 | $this->d[$i] = $this->H[$i][$i]; |
419 | 419 | $this->e[$i] = 0.0; |
420 | 420 | } |
421 | - for ($j = max($i-1, 0); $j < $nn; ++$j) { |
|
421 | + for ($j = max($i - 1, 0); $j < $nn; ++$j) { |
|
422 | 422 | $norm = $norm + abs($this->H[$i][$j]); |
423 | 423 | } |
424 | 424 | } |
@@ -429,11 +429,11 @@ discard block |
||
429 | 429 | // Look for single small sub-diagonal element |
430 | 430 | $l = $n; |
431 | 431 | while ($l > $low) { |
432 | - $s = abs($this->H[$l-1][$l-1]) + abs($this->H[$l][$l]); |
|
432 | + $s = abs($this->H[$l - 1][$l - 1]) + abs($this->H[$l][$l]); |
|
433 | 433 | if ($s == 0.0) { |
434 | 434 | $s = $norm; |
435 | 435 | } |
436 | - if (abs($this->H[$l][$l-1]) < $eps * $s) { |
|
436 | + if (abs($this->H[$l][$l - 1]) < $eps * $s) { |
|
437 | 437 | break; |
438 | 438 | } |
439 | 439 | --$l; |
@@ -447,13 +447,13 @@ discard block |
||
447 | 447 | --$n; |
448 | 448 | $iter = 0; |
449 | 449 | // Two roots found |
450 | - } elseif ($l == $n-1) { |
|
451 | - $w = $this->H[$n][$n-1] * $this->H[$n-1][$n]; |
|
452 | - $p = ($this->H[$n-1][$n-1] - $this->H[$n][$n]) / 2.0; |
|
450 | + } elseif ($l == $n - 1) { |
|
451 | + $w = $this->H[$n][$n - 1] * $this->H[$n - 1][$n]; |
|
452 | + $p = ($this->H[$n - 1][$n - 1] - $this->H[$n][$n]) / 2.0; |
|
453 | 453 | $q = $p * $p + $w; |
454 | 454 | $z = sqrt(abs($q)); |
455 | 455 | $this->H[$n][$n] = $this->H[$n][$n] + $exshift; |
456 | - $this->H[$n-1][$n-1] = $this->H[$n-1][$n-1] + $exshift; |
|
456 | + $this->H[$n - 1][$n - 1] = $this->H[$n - 1][$n - 1] + $exshift; |
|
457 | 457 | $x = $this->H[$n][$n]; |
458 | 458 | // Real pair |
459 | 459 | if ($q >= 0) { |
@@ -462,14 +462,14 @@ discard block |
||
462 | 462 | } else { |
463 | 463 | $z = $p - $z; |
464 | 464 | } |
465 | - $this->d[$n-1] = $x + $z; |
|
466 | - $this->d[$n] = $this->d[$n-1]; |
|
465 | + $this->d[$n - 1] = $x + $z; |
|
466 | + $this->d[$n] = $this->d[$n - 1]; |
|
467 | 467 | if ($z != 0.0) { |
468 | 468 | $this->d[$n] = $x - $w / $z; |
469 | 469 | } |
470 | - $this->e[$n-1] = 0.0; |
|
470 | + $this->e[$n - 1] = 0.0; |
|
471 | 471 | $this->e[$n] = 0.0; |
472 | - $x = $this->H[$n][$n-1]; |
|
472 | + $x = $this->H[$n][$n - 1]; |
|
473 | 473 | $s = abs($x) + abs($z); |
474 | 474 | $p = $x / $s; |
475 | 475 | $q = $z / $s; |
@@ -477,28 +477,28 @@ discard block |
||
477 | 477 | $p = $p / $r; |
478 | 478 | $q = $q / $r; |
479 | 479 | // Row modification |
480 | - for ($j = $n-1; $j < $nn; ++$j) { |
|
481 | - $z = $this->H[$n-1][$j]; |
|
482 | - $this->H[$n-1][$j] = $q * $z + $p * $this->H[$n][$j]; |
|
480 | + for ($j = $n - 1; $j < $nn; ++$j) { |
|
481 | + $z = $this->H[$n - 1][$j]; |
|
482 | + $this->H[$n - 1][$j] = $q * $z + $p * $this->H[$n][$j]; |
|
483 | 483 | $this->H[$n][$j] = $q * $this->H[$n][$j] - $p * $z; |
484 | 484 | } |
485 | 485 | // Column modification |
486 | 486 | for ($i = 0; $i <= $n; ++$i) { |
487 | - $z = $this->H[$i][$n-1]; |
|
488 | - $this->H[$i][$n-1] = $q * $z + $p * $this->H[$i][$n]; |
|
487 | + $z = $this->H[$i][$n - 1]; |
|
488 | + $this->H[$i][$n - 1] = $q * $z + $p * $this->H[$i][$n]; |
|
489 | 489 | $this->H[$i][$n] = $q * $this->H[$i][$n] - $p * $z; |
490 | 490 | } |
491 | 491 | // Accumulate transformations |
492 | 492 | for ($i = $low; $i <= $high; ++$i) { |
493 | - $z = $this->V[$i][$n-1]; |
|
494 | - $this->V[$i][$n-1] = $q * $z + $p * $this->V[$i][$n]; |
|
493 | + $z = $this->V[$i][$n - 1]; |
|
494 | + $this->V[$i][$n - 1] = $q * $z + $p * $this->V[$i][$n]; |
|
495 | 495 | $this->V[$i][$n] = $q * $this->V[$i][$n] - $p * $z; |
496 | 496 | } |
497 | 497 | // Complex pair |
498 | 498 | } else { |
499 | - $this->d[$n-1] = $x + $p; |
|
499 | + $this->d[$n - 1] = $x + $p; |
|
500 | 500 | $this->d[$n] = $x + $p; |
501 | - $this->e[$n-1] = $z; |
|
501 | + $this->e[$n - 1] = $z; |
|
502 | 502 | $this->e[$n] = -$z; |
503 | 503 | } |
504 | 504 | $n = $n - 2; |
@@ -510,8 +510,8 @@ discard block |
||
510 | 510 | $y = 0.0; |
511 | 511 | $w = 0.0; |
512 | 512 | if ($l < $n) { |
513 | - $y = $this->H[$n-1][$n-1]; |
|
514 | - $w = $this->H[$n][$n-1] * $this->H[$n-1][$n]; |
|
513 | + $y = $this->H[$n - 1][$n - 1]; |
|
514 | + $w = $this->H[$n][$n - 1] * $this->H[$n - 1][$n]; |
|
515 | 515 | } |
516 | 516 | // Wilkinson's original ad hoc shift |
517 | 517 | if ($iter == 10) { |
@@ -519,7 +519,7 @@ discard block |
||
519 | 519 | for ($i = $low; $i <= $n; ++$i) { |
520 | 520 | $this->H[$i][$i] -= $x; |
521 | 521 | } |
522 | - $s = abs($this->H[$n][$n-1]) + abs($this->H[$n-1][$n-2]); |
|
522 | + $s = abs($this->H[$n][$n - 1]) + abs($this->H[$n - 1][$n - 2]); |
|
523 | 523 | $x = $y = 0.75 * $s; |
524 | 524 | $w = -0.4375 * $s * $s; |
525 | 525 | } |
@@ -548,9 +548,9 @@ discard block |
||
548 | 548 | $z = $this->H[$m][$m]; |
549 | 549 | $r = $x - $z; |
550 | 550 | $s = $y - $z; |
551 | - $p = ($r * $s - $w) / $this->H[$m+1][$m] + $this->H[$m][$m+1]; |
|
552 | - $q = $this->H[$m+1][$m+1] - $z - $r - $s; |
|
553 | - $r = $this->H[$m+2][$m+1]; |
|
551 | + $p = ($r * $s - $w) / $this->H[$m + 1][$m] + $this->H[$m][$m + 1]; |
|
552 | + $q = $this->H[$m + 1][$m + 1] - $z - $r - $s; |
|
553 | + $r = $this->H[$m + 2][$m + 1]; |
|
554 | 554 | $s = abs($p) + abs($q) + abs($r); |
555 | 555 | $p = $p / $s; |
556 | 556 | $q = $q / $s; |
@@ -558,25 +558,25 @@ discard block |
||
558 | 558 | if ($m == $l) { |
559 | 559 | break; |
560 | 560 | } |
561 | - if (abs($this->H[$m][$m-1]) * (abs($q) + abs($r)) < |
|
562 | - $eps * (abs($p) * (abs($this->H[$m-1][$m-1]) + abs($z) + abs($this->H[$m+1][$m+1])))) { |
|
561 | + if (abs($this->H[$m][$m - 1]) * (abs($q) + abs($r)) < |
|
562 | + $eps * (abs($p) * (abs($this->H[$m - 1][$m - 1]) + abs($z) + abs($this->H[$m + 1][$m + 1])))) { |
|
563 | 563 | break; |
564 | 564 | } |
565 | 565 | --$m; |
566 | 566 | } |
567 | 567 | for ($i = $m + 2; $i <= $n; ++$i) { |
568 | - $this->H[$i][$i-2] = 0.0; |
|
569 | - if ($i > $m+2) { |
|
570 | - $this->H[$i][$i-3] = 0.0; |
|
568 | + $this->H[$i][$i - 2] = 0.0; |
|
569 | + if ($i > $m + 2) { |
|
570 | + $this->H[$i][$i - 3] = 0.0; |
|
571 | 571 | } |
572 | 572 | } |
573 | 573 | // Double QR step involving rows l:n and columns m:n |
574 | - for ($k = $m; $k <= $n-1; ++$k) { |
|
575 | - $notlast = ($k != $n-1); |
|
574 | + for ($k = $m; $k <= $n - 1; ++$k) { |
|
575 | + $notlast = ($k != $n - 1); |
|
576 | 576 | if ($k != $m) { |
577 | - $p = $this->H[$k][$k-1]; |
|
578 | - $q = $this->H[$k+1][$k-1]; |
|
579 | - $r = ($notlast ? $this->H[$k+2][$k-1] : 0.0); |
|
577 | + $p = $this->H[$k][$k - 1]; |
|
578 | + $q = $this->H[$k + 1][$k - 1]; |
|
579 | + $r = ($notlast ? $this->H[$k + 2][$k - 1] : 0.0); |
|
580 | 580 | $x = abs($p) + abs($q) + abs($r); |
581 | 581 | if ($x != 0.0) { |
582 | 582 | $p = $p / $x; |
@@ -593,9 +593,9 @@ discard block |
||
593 | 593 | } |
594 | 594 | if ($s != 0) { |
595 | 595 | if ($k != $m) { |
596 | - $this->H[$k][$k-1] = -$s * $x; |
|
596 | + $this->H[$k][$k - 1] = -$s * $x; |
|
597 | 597 | } elseif ($l != $m) { |
598 | - $this->H[$k][$k-1] = -$this->H[$k][$k-1]; |
|
598 | + $this->H[$k][$k - 1] = -$this->H[$k][$k - 1]; |
|
599 | 599 | } |
600 | 600 | $p = $p + $s; |
601 | 601 | $x = $p / $s; |
@@ -605,33 +605,33 @@ discard block |
||
605 | 605 | $r = $r / $p; |
606 | 606 | // Row modification |
607 | 607 | for ($j = $k; $j < $nn; ++$j) { |
608 | - $p = $this->H[$k][$j] + $q * $this->H[$k+1][$j]; |
|
608 | + $p = $this->H[$k][$j] + $q * $this->H[$k + 1][$j]; |
|
609 | 609 | if ($notlast) { |
610 | - $p = $p + $r * $this->H[$k+2][$j]; |
|
611 | - $this->H[$k+2][$j] = $this->H[$k+2][$j] - $p * $z; |
|
610 | + $p = $p + $r * $this->H[$k + 2][$j]; |
|
611 | + $this->H[$k + 2][$j] = $this->H[$k + 2][$j] - $p * $z; |
|
612 | 612 | } |
613 | 613 | $this->H[$k][$j] = $this->H[$k][$j] - $p * $x; |
614 | - $this->H[$k+1][$j] = $this->H[$k+1][$j] - $p * $y; |
|
614 | + $this->H[$k + 1][$j] = $this->H[$k + 1][$j] - $p * $y; |
|
615 | 615 | } |
616 | 616 | // Column modification |
617 | - for ($i = 0; $i <= min($n, $k+3); ++$i) { |
|
618 | - $p = $x * $this->H[$i][$k] + $y * $this->H[$i][$k+1]; |
|
617 | + for ($i = 0; $i <= min($n, $k + 3); ++$i) { |
|
618 | + $p = $x * $this->H[$i][$k] + $y * $this->H[$i][$k + 1]; |
|
619 | 619 | if ($notlast) { |
620 | - $p = $p + $z * $this->H[$i][$k+2]; |
|
621 | - $this->H[$i][$k+2] = $this->H[$i][$k+2] - $p * $r; |
|
620 | + $p = $p + $z * $this->H[$i][$k + 2]; |
|
621 | + $this->H[$i][$k + 2] = $this->H[$i][$k + 2] - $p * $r; |
|
622 | 622 | } |
623 | 623 | $this->H[$i][$k] = $this->H[$i][$k] - $p; |
624 | - $this->H[$i][$k+1] = $this->H[$i][$k+1] - $p * $q; |
|
624 | + $this->H[$i][$k + 1] = $this->H[$i][$k + 1] - $p * $q; |
|
625 | 625 | } |
626 | 626 | // Accumulate transformations |
627 | 627 | for ($i = $low; $i <= $high; ++$i) { |
628 | - $p = $x * $this->V[$i][$k] + $y * $this->V[$i][$k+1]; |
|
628 | + $p = $x * $this->V[$i][$k] + $y * $this->V[$i][$k + 1]; |
|
629 | 629 | if ($notlast) { |
630 | - $p = $p + $z * $this->V[$i][$k+2]; |
|
631 | - $this->V[$i][$k+2] = $this->V[$i][$k+2] - $p * $r; |
|
630 | + $p = $p + $z * $this->V[$i][$k + 2]; |
|
631 | + $this->V[$i][$k + 2] = $this->V[$i][$k + 2] - $p * $r; |
|
632 | 632 | } |
633 | 633 | $this->V[$i][$k] = $this->V[$i][$k] - $p; |
634 | - $this->V[$i][$k+1] = $this->V[$i][$k+1] - $p * $q; |
|
634 | + $this->V[$i][$k + 1] = $this->V[$i][$k + 1] - $p * $q; |
|
635 | 635 | } |
636 | 636 | } // ($s != 0) |
637 | 637 | } // k loop |
@@ -643,14 +643,14 @@ discard block |
||
643 | 643 | return; |
644 | 644 | } |
645 | 645 | |
646 | - for ($n = $nn-1; $n >= 0; --$n) { |
|
646 | + for ($n = $nn - 1; $n >= 0; --$n) { |
|
647 | 647 | $p = $this->d[$n]; |
648 | 648 | $q = $this->e[$n]; |
649 | 649 | // Real vector |
650 | 650 | if ($q == 0) { |
651 | 651 | $l = $n; |
652 | 652 | $this->H[$n][$n] = 1.0; |
653 | - for ($i = $n-1; $i >= 0; --$i) { |
|
653 | + for ($i = $n - 1; $i >= 0; --$i) { |
|
654 | 654 | $w = $this->H[$i][$i] - $p; |
655 | 655 | $r = 0.0; |
656 | 656 | for ($j = $l; $j <= $n; ++$j) { |
@@ -669,15 +669,15 @@ discard block |
||
669 | 669 | } |
670 | 670 | // Solve real equations |
671 | 671 | } else { |
672 | - $x = $this->H[$i][$i+1]; |
|
673 | - $y = $this->H[$i+1][$i]; |
|
672 | + $x = $this->H[$i][$i + 1]; |
|
673 | + $y = $this->H[$i + 1][$i]; |
|
674 | 674 | $q = ($this->d[$i] - $p) * ($this->d[$i] - $p) + $this->e[$i] * $this->e[$i]; |
675 | 675 | $t = ($x * $s - $z * $r) / $q; |
676 | 676 | $this->H[$i][$n] = $t; |
677 | 677 | if (abs($x) > abs($z)) { |
678 | - $this->H[$i+1][$n] = (-$r - $w * $t) / $x; |
|
678 | + $this->H[$i + 1][$n] = (-$r - $w * $t) / $x; |
|
679 | 679 | } else { |
680 | - $this->H[$i+1][$n] = (-$s - $y * $t) / $z; |
|
680 | + $this->H[$i + 1][$n] = (-$s - $y * $t) / $z; |
|
681 | 681 | } |
682 | 682 | } |
683 | 683 | // Overflow control |
@@ -691,24 +691,24 @@ discard block |
||
691 | 691 | } |
692 | 692 | // Complex vector |
693 | 693 | } elseif ($q < 0) { |
694 | - $l = $n-1; |
|
694 | + $l = $n - 1; |
|
695 | 695 | // Last vector component imaginary so matrix is triangular |
696 | - if (abs($this->H[$n][$n-1]) > abs($this->H[$n-1][$n])) { |
|
697 | - $this->H[$n-1][$n-1] = $q / $this->H[$n][$n-1]; |
|
698 | - $this->H[$n-1][$n] = -($this->H[$n][$n] - $p) / $this->H[$n][$n-1]; |
|
696 | + if (abs($this->H[$n][$n - 1]) > abs($this->H[$n - 1][$n])) { |
|
697 | + $this->H[$n - 1][$n - 1] = $q / $this->H[$n][$n - 1]; |
|
698 | + $this->H[$n - 1][$n] = -($this->H[$n][$n] - $p) / $this->H[$n][$n - 1]; |
|
699 | 699 | } else { |
700 | - $this->cdiv(0.0, -$this->H[$n-1][$n], $this->H[$n-1][$n-1] - $p, $q); |
|
701 | - $this->H[$n-1][$n-1] = $this->cdivr; |
|
702 | - $this->H[$n-1][$n] = $this->cdivi; |
|
700 | + $this->cdiv(0.0, -$this->H[$n - 1][$n], $this->H[$n - 1][$n - 1] - $p, $q); |
|
701 | + $this->H[$n - 1][$n - 1] = $this->cdivr; |
|
702 | + $this->H[$n - 1][$n] = $this->cdivi; |
|
703 | 703 | } |
704 | - $this->H[$n][$n-1] = 0.0; |
|
704 | + $this->H[$n][$n - 1] = 0.0; |
|
705 | 705 | $this->H[$n][$n] = 1.0; |
706 | - for ($i = $n-2; $i >= 0; --$i) { |
|
706 | + for ($i = $n - 2; $i >= 0; --$i) { |
|
707 | 707 | // double ra,sa,vr,vi; |
708 | 708 | $ra = 0.0; |
709 | 709 | $sa = 0.0; |
710 | 710 | for ($j = $l; $j <= $n; ++$j) { |
711 | - $ra = $ra + $this->H[$i][$j] * $this->H[$j][$n-1]; |
|
711 | + $ra = $ra + $this->H[$i][$j] * $this->H[$j][$n - 1]; |
|
712 | 712 | $sa = $sa + $this->H[$i][$j] * $this->H[$j][$n]; |
713 | 713 | } |
714 | 714 | $w = $this->H[$i][$i] - $p; |
@@ -720,34 +720,34 @@ discard block |
||
720 | 720 | $l = $i; |
721 | 721 | if ($this->e[$i] == 0) { |
722 | 722 | $this->cdiv(-$ra, -$sa, $w, $q); |
723 | - $this->H[$i][$n-1] = $this->cdivr; |
|
723 | + $this->H[$i][$n - 1] = $this->cdivr; |
|
724 | 724 | $this->H[$i][$n] = $this->cdivi; |
725 | 725 | } else { |
726 | 726 | // Solve complex equations |
727 | - $x = $this->H[$i][$i+1]; |
|
728 | - $y = $this->H[$i+1][$i]; |
|
727 | + $x = $this->H[$i][$i + 1]; |
|
728 | + $y = $this->H[$i + 1][$i]; |
|
729 | 729 | $vr = ($this->d[$i] - $p) * ($this->d[$i] - $p) + $this->e[$i] * $this->e[$i] - $q * $q; |
730 | 730 | $vi = ($this->d[$i] - $p) * 2.0 * $q; |
731 | 731 | if ($vr == 0.0 & $vi == 0.0) { |
732 | 732 | $vr = $eps * $norm * (abs($w) + abs($q) + abs($x) + abs($y) + abs($z)); |
733 | 733 | } |
734 | 734 | $this->cdiv($x * $r - $z * $ra + $q * $sa, $x * $s - $z * $sa - $q * $ra, $vr, $vi); |
735 | - $this->H[$i][$n-1] = $this->cdivr; |
|
735 | + $this->H[$i][$n - 1] = $this->cdivr; |
|
736 | 736 | $this->H[$i][$n] = $this->cdivi; |
737 | 737 | if (abs($x) > (abs($z) + abs($q))) { |
738 | - $this->H[$i+1][$n-1] = (-$ra - $w * $this->H[$i][$n-1] + $q * $this->H[$i][$n]) / $x; |
|
739 | - $this->H[$i+1][$n] = (-$sa - $w * $this->H[$i][$n] - $q * $this->H[$i][$n-1]) / $x; |
|
738 | + $this->H[$i + 1][$n - 1] = (-$ra - $w * $this->H[$i][$n - 1] + $q * $this->H[$i][$n]) / $x; |
|
739 | + $this->H[$i + 1][$n] = (-$sa - $w * $this->H[$i][$n] - $q * $this->H[$i][$n - 1]) / $x; |
|
740 | 740 | } else { |
741 | - $this->cdiv(-$r - $y * $this->H[$i][$n-1], -$s - $y * $this->H[$i][$n], $z, $q); |
|
742 | - $this->H[$i+1][$n-1] = $this->cdivr; |
|
743 | - $this->H[$i+1][$n] = $this->cdivi; |
|
741 | + $this->cdiv(-$r - $y * $this->H[$i][$n - 1], -$s - $y * $this->H[$i][$n], $z, $q); |
|
742 | + $this->H[$i + 1][$n - 1] = $this->cdivr; |
|
743 | + $this->H[$i + 1][$n] = $this->cdivi; |
|
744 | 744 | } |
745 | 745 | } |
746 | 746 | // Overflow control |
747 | - $t = max(abs($this->H[$i][$n-1]), abs($this->H[$i][$n])); |
|
747 | + $t = max(abs($this->H[$i][$n - 1]), abs($this->H[$i][$n])); |
|
748 | 748 | if (($eps * $t) * $t > 1) { |
749 | 749 | for ($j = $i; $j <= $n; ++$j) { |
750 | - $this->H[$j][$n-1] = $this->H[$j][$n-1] / $t; |
|
750 | + $this->H[$j][$n - 1] = $this->H[$j][$n - 1] / $t; |
|
751 | 751 | $this->H[$j][$n] = $this->H[$j][$n] / $t; |
752 | 752 | } |
753 | 753 | } |
@@ -766,7 +766,7 @@ discard block |
||
766 | 766 | } |
767 | 767 | |
768 | 768 | // Back transformation to get eigenvectors of original matrix |
769 | - for ($j = $nn-1; $j >= $low; --$j) { |
|
769 | + for ($j = $nn - 1; $j >= $low; --$j) { |
|
770 | 770 | for ($i = $low; $i <= $high; ++$i) { |
771 | 771 | $z = 0.0; |
772 | 772 | for ($k = $low; $k <= min($j, $high); ++$k) { |
@@ -196,7 +196,7 @@ discard block |
||
196 | 196 | } else { |
197 | 197 | throw new \PHPExcel\Calculation\Exception(self::ARGUMENT_BOUNDS_EXCEPTION); |
198 | 198 | } |
199 | - $R = new Matrix($m+1, $n+1); |
|
199 | + $R = new Matrix($m + 1, $n + 1); |
|
200 | 200 | for ($i = $i0; $i <= $iF; ++$i) { |
201 | 201 | for ($j = $j0; $j <= $jF; ++$j) { |
202 | 202 | $R->set($i - $i0, $j - $j0, $this->A[$i][$j]); |
@@ -280,7 +280,7 @@ discard block |
||
280 | 280 | } else { |
281 | 281 | throw new \PHPExcel\Calculation\Exception(self::ARGUMENT_BOUNDS_EXCEPTION); |
282 | 282 | } |
283 | - $R = new Matrix($m, $n+1); |
|
283 | + $R = new Matrix($m, $n + 1); |
|
284 | 284 | for ($i = 0; $i < $m; ++$i) { |
285 | 285 | for ($j = $j0; $j <= $jF; ++$j) { |
286 | 286 | $R->set($i, $j - $j0, $this->A[$RL[$i]][$j]); |
@@ -1099,7 +1099,7 @@ discard block |
||
1099 | 1099 | $this->checkMatrixDimensions($M); |
1100 | 1100 | for ($i = 0; $i < $this->m; ++$i) { |
1101 | 1101 | for ($j = 0; $j < $this->n; ++$j) { |
1102 | - $this->A[$i][$j] = trim($this->A[$i][$j], '"').trim($M->get($i, $j), '"'); |
|
1102 | + $this->A[$i][$j] = trim($this->A[$i][$j], '"') . trim($M->get($i, $j), '"'); |
|
1103 | 1103 | } |
1104 | 1104 | } |
1105 | 1105 | return $this; |
@@ -21,7 +21,7 @@ discard block |
||
21 | 21 | */ |
22 | 22 | class QRDecomposition |
23 | 23 | { |
24 | - const MATRIX_RANK_EXCEPTION = "Can only perform operation on full-rank matrix."; |
|
24 | + const MATRIX_RANK_EXCEPTION = "Can only perform operation on full-rank matrix."; |
|
25 | 25 | |
26 | 26 | /** |
27 | 27 | * Array for internal storage of decomposition. |
@@ -78,12 +78,12 @@ discard block |
||
78 | 78 | } |
79 | 79 | $this->QR[$k][$k] += 1.0; |
80 | 80 | // Apply transformation to remaining columns. |
81 | - for ($j = $k+1; $j < $this->n; ++$j) { |
|
81 | + for ($j = $k + 1; $j < $this->n; ++$j) { |
|
82 | 82 | $s = 0.0; |
83 | 83 | for ($i = $k; $i < $this->m; ++$i) { |
84 | 84 | $s += $this->QR[$i][$k] * $this->QR[$i][$j]; |
85 | 85 | } |
86 | - $s = -$s/$this->QR[$k][$k]; |
|
86 | + $s = -$s / $this->QR[$k][$k]; |
|
87 | 87 | for ($i = $k; $i < $this->m; ++$i) { |
88 | 88 | $this->QR[$i][$j] += $s * $this->QR[$i][$k]; |
89 | 89 | } |
@@ -159,7 +159,7 @@ discard block |
||
159 | 159 | */ |
160 | 160 | public function getQ() |
161 | 161 | { |
162 | - for ($k = $this->n-1; $k >= 0; --$k) { |
|
162 | + for ($k = $this->n - 1; $k >= 0; --$k) { |
|
163 | 163 | for ($i = 0; $i < $this->m; ++$i) { |
164 | 164 | $Q[$i][$k] = 0.0; |
165 | 165 | } |
@@ -170,7 +170,7 @@ discard block |
||
170 | 170 | for ($i = $k; $i < $this->m; ++$i) { |
171 | 171 | $s += $this->QR[$i][$k] * $Q[$i][$j]; |
172 | 172 | } |
173 | - $s = -$s/$this->QR[$k][$k]; |
|
173 | + $s = -$s / $this->QR[$k][$k]; |
|
174 | 174 | for ($i = $k; $i < $this->m; ++$i) { |
175 | 175 | $Q[$i][$j] += $s * $this->QR[$i][$k]; |
176 | 176 | } |
@@ -209,25 +209,25 @@ discard block |
||
209 | 209 | for ($i = $k; $i < $this->m; ++$i) { |
210 | 210 | $s += $this->QR[$i][$k] * $X[$i][$j]; |
211 | 211 | } |
212 | - $s = -$s/$this->QR[$k][$k]; |
|
212 | + $s = -$s / $this->QR[$k][$k]; |
|
213 | 213 | for ($i = $k; $i < $this->m; ++$i) { |
214 | 214 | $X[$i][$j] += $s * $this->QR[$i][$k]; |
215 | 215 | } |
216 | 216 | } |
217 | 217 | } |
218 | 218 | // Solve R*X = Y; |
219 | - for ($k = $this->n-1; $k >= 0; --$k) { |
|
219 | + for ($k = $this->n - 1; $k >= 0; --$k) { |
|
220 | 220 | for ($j = 0; $j < $nx; ++$j) { |
221 | 221 | $X[$k][$j] /= $this->Rdiag[$k]; |
222 | 222 | } |
223 | 223 | for ($i = 0; $i < $k; ++$i) { |
224 | 224 | for ($j = 0; $j < $nx; ++$j) { |
225 | - $X[$i][$j] -= $X[$k][$j]* $this->QR[$i][$k]; |
|
225 | + $X[$i][$j] -= $X[$k][$j] * $this->QR[$i][$k]; |
|
226 | 226 | } |
227 | 227 | } |
228 | 228 | } |
229 | 229 | $X = new Matrix($X); |
230 | - return ($X->getMatrix(0, $this->n-1, 0, $nx)); |
|
230 | + return ($X->getMatrix(0, $this->n - 1, 0, $nx)); |
|
231 | 231 | } else { |
232 | 232 | throw new \PHPExcel\Calculation\Exception(self::MATRIX_RANK_EXCEPTION); |
233 | 233 | } |
@@ -71,7 +71,7 @@ |
||
71 | 71 | } |
72 | 72 | } |
73 | 73 | |
74 | - for ($k = $i+1; $k < $this->m; ++$k) { |
|
74 | + for ($k = $i + 1; $k < $this->m; ++$k) { |
|
75 | 75 | $this->L[$i][$k] = 0.0; |
76 | 76 | } |
77 | 77 | } |
@@ -94,7 +94,7 @@ discard block |
||
94 | 94 | } |
95 | 95 | // Find pivot and exchange if necessary. |
96 | 96 | $p = $j; |
97 | - for ($i = $j+1; $i < $this->m; ++$i) { |
|
97 | + for ($i = $j + 1; $i < $this->m; ++$i) { |
|
98 | 98 | if (abs($LUcolj[$i]) > abs($LUcolj[$p])) { |
99 | 99 | $p = $i; |
100 | 100 | } |
@@ -112,7 +112,7 @@ discard block |
||
112 | 112 | } |
113 | 113 | // Compute multipliers. |
114 | 114 | if (($j < $this->m) && ($this->LU[$j][$j] != 0.0)) { |
115 | - for ($i = $j+1; $i < $this->m; ++$i) { |
|
115 | + for ($i = $j + 1; $i < $this->m; ++$i) { |
|
116 | 116 | $this->LU[$i][$j] /= $this->LU[$j][$j]; |
117 | 117 | } |
118 | 118 | } |
@@ -229,17 +229,17 @@ discard block |
||
229 | 229 | if ($this->isNonsingular()) { |
230 | 230 | // Copy right hand side with pivoting |
231 | 231 | $nx = $B->getColumnDimension(); |
232 | - $X = $B->getMatrix($this->piv, 0, $nx-1); |
|
232 | + $X = $B->getMatrix($this->piv, 0, $nx - 1); |
|
233 | 233 | // Solve L*Y = B(piv,:) |
234 | 234 | for ($k = 0; $k < $this->n; ++$k) { |
235 | - for ($i = $k+1; $i < $this->n; ++$i) { |
|
235 | + for ($i = $k + 1; $i < $this->n; ++$i) { |
|
236 | 236 | for ($j = 0; $j < $nx; ++$j) { |
237 | 237 | $X->A[$i][$j] -= $X->A[$k][$j] * $this->LU[$i][$k]; |
238 | 238 | } |
239 | 239 | } |
240 | 240 | } |
241 | 241 | // Solve U*X = Y; |
242 | - for ($k = $this->n-1; $k >= 0; --$k) { |
|
242 | + for ($k = $this->n - 1; $k >= 0; --$k) { |
|
243 | 243 | for ($j = 0; $j < $nx; ++$j) { |
244 | 244 | $X->A[$k][$j] /= $this->LU[$k][$k]; |
245 | 245 | } |
@@ -131,27 +131,27 @@ discard block |
||
131 | 131 | $e[$k] = hypo($e[$k], $e[$i]); |
132 | 132 | } |
133 | 133 | if ($e[$k] != 0.0) { |
134 | - if ($e[$k+1] < 0.0) { |
|
134 | + if ($e[$k + 1] < 0.0) { |
|
135 | 135 | $e[$k] = -$e[$k]; |
136 | 136 | } |
137 | 137 | for ($i = $k + 1; $i < $this->n; ++$i) { |
138 | 138 | $e[$i] /= $e[$k]; |
139 | 139 | } |
140 | - $e[$k+1] += 1.0; |
|
140 | + $e[$k + 1] += 1.0; |
|
141 | 141 | } |
142 | 142 | $e[$k] = -$e[$k]; |
143 | - if (($k+1 < $this->m) and ($e[$k] != 0.0)) { |
|
143 | + if (($k + 1 < $this->m) and ($e[$k] != 0.0)) { |
|
144 | 144 | // Apply the transformation. |
145 | - for ($i = $k+1; $i < $this->m; ++$i) { |
|
145 | + for ($i = $k + 1; $i < $this->m; ++$i) { |
|
146 | 146 | $work[$i] = 0.0; |
147 | 147 | } |
148 | - for ($j = $k+1; $j < $this->n; ++$j) { |
|
149 | - for ($i = $k+1; $i < $this->m; ++$i) { |
|
148 | + for ($j = $k + 1; $j < $this->n; ++$j) { |
|
149 | + for ($i = $k + 1; $i < $this->m; ++$i) { |
|
150 | 150 | $work[$i] += $e[$j] * $A[$i][$j]; |
151 | 151 | } |
152 | 152 | } |
153 | 153 | for ($j = $k + 1; $j < $this->n; ++$j) { |
154 | - $t = -$e[$j] / $e[$k+1]; |
|
154 | + $t = -$e[$j] / $e[$k + 1]; |
|
155 | 155 | for ($i = $k + 1; $i < $this->m; ++$i) { |
156 | 156 | $A[$i][$j] += $t * $work[$i]; |
157 | 157 | } |
@@ -173,12 +173,12 @@ discard block |
||
173 | 173 | $this->s[$nct] = $A[$nct][$nct]; |
174 | 174 | } |
175 | 175 | if ($this->m < $p) { |
176 | - $this->s[$p-1] = 0.0; |
|
176 | + $this->s[$p - 1] = 0.0; |
|
177 | 177 | } |
178 | 178 | if ($nrt + 1 < $p) { |
179 | - $e[$nrt] = $A[$nrt][$p-1]; |
|
179 | + $e[$nrt] = $A[$nrt][$p - 1]; |
|
180 | 180 | } |
181 | - $e[$p-1] = 0.0; |
|
181 | + $e[$p - 1] = 0.0; |
|
182 | 182 | // If required, generate U. |
183 | 183 | if ($wantu) { |
184 | 184 | for ($j = $nct; $j < $nu; ++$j) { |
@@ -222,9 +222,9 @@ discard block |
||
222 | 222 | for ($j = $k + 1; $j < $nu; ++$j) { |
223 | 223 | $t = 0; |
224 | 224 | for ($i = $k + 1; $i < $this->n; ++$i) { |
225 | - $t += $this->V[$i][$k]* $this->V[$i][$j]; |
|
225 | + $t += $this->V[$i][$k] * $this->V[$i][$j]; |
|
226 | 226 | } |
227 | - $t = -$t / $this->V[$k+1][$k]; |
|
227 | + $t = -$t / $this->V[$k + 1][$k]; |
|
228 | 228 | for ($i = $k + 1; $i < $this->n; ++$i) { |
229 | 229 | $this->V[$i][$j] += $t * $this->V[$i][$k]; |
230 | 230 | } |
@@ -256,7 +256,7 @@ discard block |
||
256 | 256 | if ($k == -1) { |
257 | 257 | break; |
258 | 258 | } |
259 | - if (abs($e[$k]) <= $eps * (abs($this->s[$k]) + abs($this->s[$k+1]))) { |
|
259 | + if (abs($e[$k]) <= $eps * (abs($this->s[$k]) + abs($this->s[$k + 1]))) { |
|
260 | 260 | $e[$k] = 0.0; |
261 | 261 | break; |
262 | 262 | } |
@@ -268,7 +268,7 @@ discard block |
||
268 | 268 | if ($ks == $k) { |
269 | 269 | break; |
270 | 270 | } |
271 | - $t = ($ks != $p ? abs($e[$ks]) : 0.) + ($ks != $k + 1 ? abs($e[$ks-1]) : 0.); |
|
271 | + $t = ($ks != $p ? abs($e[$ks]) : 0.) + ($ks != $k + 1 ? abs($e[$ks - 1]) : 0.); |
|
272 | 272 | if (abs($this->s[$ks]) <= $eps * $t) { |
273 | 273 | $this->s[$ks] = 0.0; |
274 | 274 | break; |
@@ -276,7 +276,7 @@ discard block |
||
276 | 276 | } |
277 | 277 | if ($ks == $k) { |
278 | 278 | $kase = 3; |
279 | - } elseif ($ks == $p-1) { |
|
279 | + } elseif ($ks == $p - 1) { |
|
280 | 280 | $kase = 1; |
281 | 281 | } else { |
282 | 282 | $kase = 2; |
@@ -289,21 +289,21 @@ discard block |
||
289 | 289 | switch ($kase) { |
290 | 290 | // Deflate negligible s(p). |
291 | 291 | case 1: |
292 | - $f = $e[$p-2]; |
|
293 | - $e[$p-2] = 0.0; |
|
292 | + $f = $e[$p - 2]; |
|
293 | + $e[$p - 2] = 0.0; |
|
294 | 294 | for ($j = $p - 2; $j >= $k; --$j) { |
295 | 295 | $t = hypo($this->s[$j], $f); |
296 | 296 | $cs = $this->s[$j] / $t; |
297 | 297 | $sn = $f / $t; |
298 | 298 | $this->s[$j] = $t; |
299 | 299 | if ($j != $k) { |
300 | - $f = -$sn * $e[$j-1]; |
|
301 | - $e[$j-1] = $cs * $e[$j-1]; |
|
300 | + $f = -$sn * $e[$j - 1]; |
|
301 | + $e[$j - 1] = $cs * $e[$j - 1]; |
|
302 | 302 | } |
303 | 303 | if ($wantv) { |
304 | 304 | for ($i = 0; $i < $this->n; ++$i) { |
305 | - $t = $cs * $this->V[$i][$j] + $sn * $this->V[$i][$p-1]; |
|
306 | - $this->V[$i][$p-1] = -$sn * $this->V[$i][$j] + $cs * $this->V[$i][$p-1]; |
|
305 | + $t = $cs * $this->V[$i][$j] + $sn * $this->V[$i][$p - 1]; |
|
306 | + $this->V[$i][$p - 1] = -$sn * $this->V[$i][$j] + $cs * $this->V[$i][$p - 1]; |
|
307 | 307 | $this->V[$i][$j] = $t; |
308 | 308 | } |
309 | 309 | } |
@@ -311,8 +311,8 @@ discard block |
||
311 | 311 | break; |
312 | 312 | // Split at negligible s(k). |
313 | 313 | case 2: |
314 | - $f = $e[$k-1]; |
|
315 | - $e[$k-1] = 0.0; |
|
314 | + $f = $e[$k - 1]; |
|
315 | + $e[$k - 1] = 0.0; |
|
316 | 316 | for ($j = $k; $j < $p; ++$j) { |
317 | 317 | $t = hypo($this->s[$j], $f); |
318 | 318 | $cs = $this->s[$j] / $t; |
@@ -322,8 +322,8 @@ discard block |
||
322 | 322 | $e[$j] = $cs * $e[$j]; |
323 | 323 | if ($wantu) { |
324 | 324 | for ($i = 0; $i < $this->m; ++$i) { |
325 | - $t = $cs * $this->U[$i][$j] + $sn * $this->U[$i][$k-1]; |
|
326 | - $this->U[$i][$k-1] = -$sn * $this->U[$i][$j] + $cs * $this->U[$i][$k-1]; |
|
325 | + $t = $cs * $this->U[$i][$j] + $sn * $this->U[$i][$k - 1]; |
|
326 | + $this->U[$i][$k - 1] = -$sn * $this->U[$i][$j] + $cs * $this->U[$i][$k - 1]; |
|
327 | 327 | $this->U[$i][$j] = $t; |
328 | 328 | } |
329 | 329 | } |
@@ -332,10 +332,10 @@ discard block |
||
332 | 332 | // Perform one qr step. |
333 | 333 | case 3: |
334 | 334 | // Calculate the shift. |
335 | - $scale = max(max(max(max(abs($this->s[$p-1]), abs($this->s[$p-2])), abs($e[$p-2])), abs($this->s[$k])), abs($e[$k])); |
|
336 | - $sp = $this->s[$p-1] / $scale; |
|
337 | - $spm1 = $this->s[$p-2] / $scale; |
|
338 | - $epm1 = $e[$p-2] / $scale; |
|
335 | + $scale = max(max(max(max(abs($this->s[$p - 1]), abs($this->s[$p - 2])), abs($e[$p - 2])), abs($this->s[$k])), abs($e[$k])); |
|
336 | + $sp = $this->s[$p - 1] / $scale; |
|
337 | + $spm1 = $this->s[$p - 2] / $scale; |
|
338 | + $epm1 = $e[$p - 2] / $scale; |
|
339 | 339 | $sk = $this->s[$k] / $scale; |
340 | 340 | $ek = $e[$k] / $scale; |
341 | 341 | $b = (($spm1 + $sp) * ($spm1 - $sp) + $epm1 * $epm1) / 2.0; |
@@ -351,41 +351,41 @@ discard block |
||
351 | 351 | $f = ($sk + $sp) * ($sk - $sp) + $shift; |
352 | 352 | $g = $sk * $ek; |
353 | 353 | // Chase zeros. |
354 | - for ($j = $k; $j < $p-1; ++$j) { |
|
354 | + for ($j = $k; $j < $p - 1; ++$j) { |
|
355 | 355 | $t = hypo($f, $g); |
356 | - $cs = $f/$t; |
|
357 | - $sn = $g/$t; |
|
356 | + $cs = $f / $t; |
|
357 | + $sn = $g / $t; |
|
358 | 358 | if ($j != $k) { |
359 | - $e[$j-1] = $t; |
|
359 | + $e[$j - 1] = $t; |
|
360 | 360 | } |
361 | 361 | $f = $cs * $this->s[$j] + $sn * $e[$j]; |
362 | 362 | $e[$j] = $cs * $e[$j] - $sn * $this->s[$j]; |
363 | - $g = $sn * $this->s[$j+1]; |
|
364 | - $this->s[$j+1] = $cs * $this->s[$j+1]; |
|
363 | + $g = $sn * $this->s[$j + 1]; |
|
364 | + $this->s[$j + 1] = $cs * $this->s[$j + 1]; |
|
365 | 365 | if ($wantv) { |
366 | 366 | for ($i = 0; $i < $this->n; ++$i) { |
367 | - $t = $cs * $this->V[$i][$j] + $sn * $this->V[$i][$j+1]; |
|
368 | - $this->V[$i][$j+1] = -$sn * $this->V[$i][$j] + $cs * $this->V[$i][$j+1]; |
|
367 | + $t = $cs * $this->V[$i][$j] + $sn * $this->V[$i][$j + 1]; |
|
368 | + $this->V[$i][$j + 1] = -$sn * $this->V[$i][$j] + $cs * $this->V[$i][$j + 1]; |
|
369 | 369 | $this->V[$i][$j] = $t; |
370 | 370 | } |
371 | 371 | } |
372 | 372 | $t = hypo($f, $g); |
373 | - $cs = $f/$t; |
|
374 | - $sn = $g/$t; |
|
373 | + $cs = $f / $t; |
|
374 | + $sn = $g / $t; |
|
375 | 375 | $this->s[$j] = $t; |
376 | - $f = $cs * $e[$j] + $sn * $this->s[$j+1]; |
|
377 | - $this->s[$j+1] = -$sn * $e[$j] + $cs * $this->s[$j+1]; |
|
378 | - $g = $sn * $e[$j+1]; |
|
379 | - $e[$j+1] = $cs * $e[$j+1]; |
|
376 | + $f = $cs * $e[$j] + $sn * $this->s[$j + 1]; |
|
377 | + $this->s[$j + 1] = -$sn * $e[$j] + $cs * $this->s[$j + 1]; |
|
378 | + $g = $sn * $e[$j + 1]; |
|
379 | + $e[$j + 1] = $cs * $e[$j + 1]; |
|
380 | 380 | if ($wantu && ($j < $this->m - 1)) { |
381 | 381 | for ($i = 0; $i < $this->m; ++$i) { |
382 | - $t = $cs * $this->U[$i][$j] + $sn * $this->U[$i][$j+1]; |
|
383 | - $this->U[$i][$j+1] = -$sn * $this->U[$i][$j] + $cs * $this->U[$i][$j+1]; |
|
382 | + $t = $cs * $this->U[$i][$j] + $sn * $this->U[$i][$j + 1]; |
|
383 | + $this->U[$i][$j + 1] = -$sn * $this->U[$i][$j] + $cs * $this->U[$i][$j + 1]; |
|
384 | 384 | $this->U[$i][$j] = $t; |
385 | 385 | } |
386 | 386 | } |
387 | 387 | } |
388 | - $e[$p-2] = $f; |
|
388 | + $e[$p - 2] = $f; |
|
389 | 389 | $iter = $iter + 1; |
390 | 390 | break; |
391 | 391 | // Convergence. |
@@ -401,23 +401,23 @@ discard block |
||
401 | 401 | } |
402 | 402 | // Order the singular values. |
403 | 403 | while ($k < $pp) { |
404 | - if ($this->s[$k] >= $this->s[$k+1]) { |
|
404 | + if ($this->s[$k] >= $this->s[$k + 1]) { |
|
405 | 405 | break; |
406 | 406 | } |
407 | 407 | $t = $this->s[$k]; |
408 | - $this->s[$k] = $this->s[$k+1]; |
|
409 | - $this->s[$k+1] = $t; |
|
408 | + $this->s[$k] = $this->s[$k + 1]; |
|
409 | + $this->s[$k + 1] = $t; |
|
410 | 410 | if ($wantv and ($k < $this->n - 1)) { |
411 | 411 | for ($i = 0; $i < $this->n; ++$i) { |
412 | - $t = $this->V[$i][$k+1]; |
|
413 | - $this->V[$i][$k+1] = $this->V[$i][$k]; |
|
412 | + $t = $this->V[$i][$k + 1]; |
|
413 | + $this->V[$i][$k + 1] = $this->V[$i][$k]; |
|
414 | 414 | $this->V[$i][$k] = $t; |
415 | 415 | } |
416 | 416 | } |
417 | - if ($wantu and ($k < $this->m-1)) { |
|
417 | + if ($wantu and ($k < $this->m - 1)) { |
|
418 | 418 | for ($i = 0; $i < $this->m; ++$i) { |
419 | - $t = $this->U[$i][$k+1]; |
|
420 | - $this->U[$i][$k+1] = $this->U[$i][$k]; |
|
419 | + $t = $this->U[$i][$k + 1]; |
|
420 | + $this->U[$i][$k + 1] = $this->U[$i][$k]; |
|
421 | 421 | $this->U[$i][$k] = $t; |
422 | 422 | } |
423 | 423 | } |