|
1
|
|
|
<?php
|
|
2
|
|
|
|
|
3
|
|
|
namespace Samsara\Fermat;
|
|
4
|
|
|
|
|
5
|
|
|
use Samsara\Exceptions\UsageError\IntegrityConstraint;
|
|
6
|
|
|
use Samsara\Fermat\Provider\ConstantProvider;
|
|
7
|
|
|
use Samsara\Fermat\Types\Base\Interfaces\Numbers\DecimalInterface;
|
|
8
|
|
|
use Samsara\Fermat\Types\Base\Interfaces\Numbers\FractionInterface;
|
|
9
|
|
|
use Samsara\Fermat\Types\Base\Interfaces\Numbers\NumberInterface;
|
|
10
|
|
|
use Samsara\Fermat\Types\Base\Selectable;
|
|
11
|
|
|
use Samsara\Fermat\Values\ImmutableFraction;
|
|
12
|
|
|
use Samsara\Fermat\Values\ImmutableDecimal;
|
|
13
|
|
|
use Samsara\Fermat\Values\MutableFraction;
|
|
14
|
|
|
use Samsara\Fermat\Values\MutableDecimal;
|
|
15
|
|
|
|
|
16
|
|
|
class Numbers
|
|
17
|
|
|
{
|
|
18
|
|
|
|
|
19
|
|
|
public const MUTABLE = MutableDecimal::class;
|
|
20
|
|
|
public const IMMUTABLE = ImmutableDecimal::class;
|
|
21
|
|
|
public const MUTABLE_FRACTION = MutableFraction::class;
|
|
22
|
|
|
public const IMMUTABLE_FRACTION = ImmutableFraction::class;
|
|
23
|
|
|
/* 105 digits after decimal, which is going to be overkill in almost all places */
|
|
24
|
|
|
public const PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679';
|
|
25
|
|
|
/* Tau (2pi) to 100 digits */
|
|
26
|
|
|
public const TAU = '6.283185307179586476925286766559005768394338798750211641949889184615632812572417997256069650684234136';
|
|
27
|
|
|
/* Euler's Number to 100 digits */
|
|
28
|
|
|
public const E = '2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427';
|
|
29
|
|
|
/* Golden Ratio to 100 digits */
|
|
30
|
|
|
public const GOLDEN_RATIO = '1.618033988749894848204586834365638117720309179805762862135448622705260462818902449707207204189391137';
|
|
31
|
|
|
/* Natural log of 10 to 100 digits */
|
|
32
|
|
|
public const LN_10 = '2.302585092994045684017991454684364207601101488628772976033327900967572609677352480235997205089598298';
|
|
33
|
|
|
/* The value of i^i */
|
|
34
|
|
|
public const I_POW_I = '0.2078795763507619085469556198349787700338778416317696080751358830554198772854821397886002778654260353';
|
|
35
|
|
|
|
|
36
|
|
|
protected static $defaultCalcMode = Selectable::CALC_MODE_PRECISION;
|
|
37
|
|
|
|
|
38
|
|
|
/**
|
|
39
|
|
|
* @param $type
|
|
40
|
|
|
* @param $value
|
|
41
|
|
|
* @param int|null $scale
|
|
42
|
|
|
* @param int $base
|
|
43
|
|
|
*
|
|
44
|
|
|
* @return ImmutableDecimal|MutableDecimal|ImmutableFraction|MutableFraction|NumberInterface|FractionInterface
|
|
45
|
|
|
* @throws IntegrityConstraint
|
|
46
|
|
|
*/
|
|
47
|
|
|
public static function make($type, $value, $scale = null, $base = 10)
|
|
48
|
|
|
{
|
|
49
|
|
|
|
|
50
|
|
|
if (is_object($type)) {
|
|
51
|
|
|
$type = get_class($type);
|
|
52
|
135 |
|
}
|
|
53
|
|
|
|
|
54
|
|
|
if ($type === static::IMMUTABLE) {
|
|
55
|
135 |
|
return new ImmutableDecimal(trim($value), $scale, $base);
|
|
56
|
103 |
|
}
|
|
57
|
|
|
|
|
58
|
|
|
if ($type === static::MUTABLE) {
|
|
59
|
135 |
|
return new MutableDecimal(trim($value), $scale, $base);
|
|
60
|
135 |
|
}
|
|
61
|
|
|
|
|
62
|
|
|
if ($type === static::IMMUTABLE_FRACTION) {
|
|
63
|
21 |
|
return self::makeFractionFromString($type, $value, $base);
|
|
64
|
12 |
|
}
|
|
65
|
|
|
|
|
66
|
|
|
if ($type === static::MUTABLE_FRACTION) {
|
|
67
|
12 |
|
return self::makeFractionFromString($type, $value, $base);
|
|
68
|
11 |
|
}
|
|
69
|
|
|
|
|
70
|
|
|
throw new IntegrityConstraint(
|
|
71
|
4 |
|
'$type must be an implemented concrete class that is supported',
|
|
72
|
3 |
|
'Provide a type that implements NumberInterface or CoordinateInterface (the Numbers class contains constants for the built in ones)',
|
|
73
|
|
|
'The $type argument was not an implementation of NumberInterface or CoordinateInterface'
|
|
74
|
|
|
);
|
|
75
|
1 |
|
}
|
|
76
|
1 |
|
|
|
77
|
1 |
|
/**
|
|
78
|
1 |
|
* @param $type
|
|
79
|
|
|
* @param $value
|
|
80
|
1 |
|
* @param int|null $scale
|
|
81
|
|
|
* @param int $base
|
|
82
|
|
|
*
|
|
83
|
|
|
* @return NumberInterface
|
|
84
|
|
|
* @throws IntegrityConstraint
|
|
85
|
|
|
*/
|
|
86
|
|
|
public static function makeFromBase10($type, $value, $scale = null, $base = 10): NumberInterface
|
|
87
|
|
|
{
|
|
88
|
|
|
/**
|
|
89
|
|
|
* @var ImmutableDecimal|MutableDecimal
|
|
90
|
|
|
*/
|
|
91
|
|
|
$number = self::make($type, $value, $scale, 10);
|
|
92
|
|
|
|
|
93
|
|
|
return $number->convertToBase($base);
|
|
|
|
|
|
|
94
|
|
|
}
|
|
95
|
|
|
|
|
96
|
|
|
/**
|
|
97
|
|
|
* @param string|object $type
|
|
98
|
|
|
* @param int|float|string|array|NumberInterface|DecimalInterface|FractionInterface $value
|
|
99
|
1 |
|
* @param int|null $scale
|
|
100
|
|
|
* @param int $base
|
|
101
|
|
|
*
|
|
102
|
|
|
* @return ImmutableDecimal|MutableDecimal|NumberInterface|ImmutableDecimal[]|MutableDecimal[]|NumberInterface[]
|
|
103
|
|
|
* @throws IntegrityConstraint
|
|
104
|
1 |
|
*/
|
|
105
|
|
|
public static function makeOrDont($type, $value, $scale = null, $base = 10)
|
|
106
|
1 |
|
{
|
|
107
|
|
|
|
|
108
|
|
|
if (is_object($value)) {
|
|
109
|
|
|
if ($value instanceof $type) {
|
|
110
|
|
|
return $value;
|
|
111
|
|
|
}
|
|
112
|
|
|
|
|
113
|
|
|
if ($value instanceof NumberInterface) {
|
|
|
|
|
|
|
114
|
|
|
return static::make($type, $value->getValue(), $scale, $base);
|
|
|
|
|
|
|
115
|
|
|
}
|
|
116
|
|
|
} elseif (is_array($value)) {
|
|
117
|
|
|
$newInput = [];
|
|
118
|
126 |
|
|
|
119
|
|
|
foreach ($value as $key => $item) {
|
|
120
|
|
|
$newInput[$key] = static::makeOrDont($type, $item, $scale, $base);
|
|
121
|
126 |
|
}
|
|
122
|
97 |
|
|
|
123
|
97 |
|
return $newInput;
|
|
124
|
|
|
} elseif (is_string($value) || is_int($value) || is_float($value)) {
|
|
|
|
|
|
|
125
|
|
|
$isImaginary = strpos($value, 'i') !== false;
|
|
126
|
4 |
|
|
|
127
|
4 |
|
if (is_numeric($value) || $isImaginary) {
|
|
128
|
|
|
return static::make($type, $value, $scale, $base);
|
|
129
|
116 |
|
}
|
|
130
|
14 |
|
}
|
|
131
|
|
|
|
|
132
|
14 |
|
throw new IntegrityConstraint(
|
|
133
|
14 |
|
'$input must be an int, float, numeric string, or an implementation of NumberInterface',
|
|
134
|
|
|
'Provide any of the MANY valid inputs',
|
|
135
|
|
|
'The $input argument was not numeric or an implementation of NumberInterface. Given value: '.$value
|
|
136
|
14 |
|
);
|
|
137
|
116 |
|
|
|
138
|
116 |
|
}
|
|
139
|
|
|
|
|
140
|
116 |
|
/**
|
|
141
|
116 |
|
* @param string $type
|
|
142
|
|
|
* @param string $value
|
|
143
|
|
|
* @param int $base
|
|
144
|
|
|
*
|
|
145
|
|
|
* @return FractionInterface|ImmutableFraction|MutableFraction
|
|
146
|
|
|
* @throws IntegrityConstraint
|
|
147
|
|
|
*/
|
|
148
|
|
|
public static function makeFractionFromString(string $type, string $value, int $base = 10): FractionInterface
|
|
149
|
|
|
{
|
|
150
|
|
|
$parts = explode('/', $value);
|
|
151
|
|
|
|
|
152
|
|
|
if (count($parts) > 2) {
|
|
153
|
|
|
throw new IntegrityConstraint(
|
|
154
|
|
|
'Only one division symbol (/) can be used',
|
|
155
|
|
|
'Change the calling code to not provide more than one division symbol',
|
|
156
|
|
|
'makeFractionFromString needs either one or zero division symbols in the $value argument; '.$value.' given'
|
|
157
|
|
|
);
|
|
158
|
|
|
}
|
|
159
|
|
|
|
|
160
|
|
|
/** @var ImmutableDecimal $numerator */
|
|
161
|
11 |
|
$numerator = self::make(self::IMMUTABLE, trim(ltrim($parts[0])))->round();
|
|
162
|
|
|
/** @var ImmutableDecimal $denominator */
|
|
163
|
11 |
|
$denominator = isset($parts[1]) ? self::make(self::IMMUTABLE, trim(ltrim($parts[1])))->round() : self::makeOne();
|
|
164
|
|
|
|
|
165
|
11 |
|
if ($type === self::IMMUTABLE_FRACTION) {
|
|
166
|
|
|
return new ImmutableFraction($numerator, $denominator, $base);
|
|
167
|
|
|
}
|
|
168
|
|
|
|
|
169
|
|
|
if ($type === self::MUTABLE_FRACTION) {
|
|
170
|
|
|
return new MutableFraction($numerator, $denominator, $base);
|
|
171
|
|
|
}
|
|
172
|
|
|
|
|
173
|
|
|
throw new IntegrityConstraint(
|
|
174
|
11 |
|
'Type must be an implementation of FractionInterface',
|
|
175
|
|
|
'Alter to calling code to use the correct type',
|
|
176
|
11 |
|
'makeFractionFromString can only make objects which implement the FractionInterface; '.$type.' given'
|
|
177
|
|
|
);
|
|
178
|
11 |
|
}
|
|
179
|
11 |
|
|
|
180
|
|
|
/**
|
|
181
|
|
|
* @param int|null $scale
|
|
182
|
3 |
|
*
|
|
183
|
3 |
|
* @return DecimalInterface
|
|
184
|
|
|
* @throws IntegrityConstraint
|
|
185
|
|
|
*/
|
|
186
|
|
|
public static function makePi(int $scale = null)
|
|
187
|
|
|
{
|
|
188
|
|
|
|
|
189
|
|
|
if (!is_null($scale)) {
|
|
190
|
|
|
if ($scale < 1) {
|
|
191
|
|
|
throw new IntegrityConstraint(
|
|
192
|
|
|
'$scale must be at least 1',
|
|
193
|
|
|
'Provide a scale within range',
|
|
194
|
|
|
'The pi constant cannot have a scale less than 1'
|
|
195
|
|
|
);
|
|
196
|
|
|
}
|
|
197
|
|
|
|
|
198
|
|
|
if ($scale > 100) {
|
|
199
|
34 |
|
return self::make(self::IMMUTABLE, ConstantProvider::makePi($scale), $scale);
|
|
|
|
|
|
|
200
|
|
|
}
|
|
201
|
|
|
|
|
202
|
34 |
|
return self::make(self::IMMUTABLE, self::PI, $scale)->truncateToScale($scale);
|
|
|
|
|
|
|
203
|
26 |
|
}
|
|
204
|
1 |
|
|
|
205
|
1 |
|
return self::make(self::IMMUTABLE, self::PI, 100);
|
|
|
|
|
|
|
206
|
1 |
|
|
|
207
|
1 |
|
}
|
|
208
|
|
|
|
|
209
|
|
|
/**
|
|
210
|
|
|
* @param int|null $scale
|
|
211
|
26 |
|
*
|
|
212
|
1 |
|
* @return DecimalInterface
|
|
213
|
|
|
* @throws IntegrityConstraint
|
|
214
|
|
|
*/
|
|
215
|
26 |
|
public static function makeTau($scale = null)
|
|
216
|
|
|
{
|
|
217
|
|
|
if (!is_null($scale)) {
|
|
218
|
23 |
|
if ($scale < 1) {
|
|
219
|
|
|
throw new IntegrityConstraint(
|
|
220
|
|
|
'$scale must be at least 1',
|
|
221
|
|
|
'Provide a scale within range',
|
|
222
|
|
|
'The E constant cannot have a scale less than 1'
|
|
223
|
|
|
);
|
|
224
|
|
|
}
|
|
225
|
|
|
|
|
226
|
|
|
if ($scale > 100) {
|
|
227
|
|
|
$pi = self::make(self::IMMUTABLE, ConstantProvider::makePi($scale), $scale + 2);
|
|
228
|
23 |
|
return $pi->multiply(2)->truncateToScale($scale);
|
|
229
|
|
|
}
|
|
230
|
23 |
|
|
|
231
|
10 |
|
return self::make(self::IMMUTABLE, self::TAU, $scale)->truncateToScale($scale);
|
|
232
|
1 |
|
}
|
|
233
|
1 |
|
|
|
234
|
1 |
|
return self::make(self::IMMUTABLE, self::TAU, 100);
|
|
|
|
|
|
|
235
|
1 |
|
}
|
|
236
|
|
|
|
|
237
|
|
|
/**
|
|
238
|
|
|
* @param int|null $scale
|
|
239
|
10 |
|
*
|
|
240
|
1 |
|
* @return DecimalInterface
|
|
241
|
1 |
|
* @throws IntegrityConstraint
|
|
242
|
|
|
*/
|
|
243
|
|
|
public static function make2Pi($scale = null)
|
|
244
|
10 |
|
{
|
|
245
|
|
|
return self::makeTau($scale);
|
|
246
|
|
|
}
|
|
247
|
23 |
|
|
|
248
|
|
|
/**
|
|
249
|
|
|
* @param int|null $scale
|
|
250
|
|
|
*
|
|
251
|
|
|
* @return DecimalInterface
|
|
252
|
|
|
* @throws IntegrityConstraint
|
|
253
|
|
|
*/
|
|
254
|
|
|
public static function makeE(int $scale = null)
|
|
255
|
|
|
{
|
|
256
|
23 |
|
|
|
257
|
|
|
if (!is_null($scale)) {
|
|
258
|
23 |
|
if ($scale < 1) {
|
|
259
|
|
|
throw new IntegrityConstraint(
|
|
260
|
|
|
'$scale must be at least 1',
|
|
261
|
|
|
'Provide a scale within range',
|
|
262
|
|
|
'The E constant cannot have a scale less than 1'
|
|
263
|
|
|
);
|
|
264
|
|
|
}
|
|
265
|
|
|
|
|
266
|
|
|
if ($scale > 100) {
|
|
267
|
9 |
|
return self::make(self::IMMUTABLE, ConstantProvider::makeE($scale), $scale);
|
|
|
|
|
|
|
268
|
|
|
}
|
|
269
|
|
|
|
|
270
|
9 |
|
return self::make(self::IMMUTABLE, self::E, $scale)->truncateToScale($scale);
|
|
271
|
7 |
|
}
|
|
272
|
1 |
|
|
|
273
|
1 |
|
return self::make(self::IMMUTABLE, self::E, 100);
|
|
|
|
|
|
|
274
|
1 |
|
|
|
275
|
1 |
|
}
|
|
276
|
|
|
|
|
277
|
|
|
/**
|
|
278
|
|
|
* @param int|null $scale
|
|
279
|
7 |
|
*
|
|
280
|
1 |
|
* @return NumberInterface
|
|
281
|
|
|
* @throws IntegrityConstraint
|
|
282
|
|
|
*/
|
|
283
|
7 |
|
public static function makeGoldenRatio($scale = null)
|
|
284
|
|
|
{
|
|
285
|
|
|
|
|
286
|
4 |
|
if (!is_null($scale)) {
|
|
287
|
|
|
if ($scale > 100 || $scale < 1) {
|
|
288
|
|
|
throw new IntegrityConstraint(
|
|
289
|
|
|
'$scale must be between 1 and 100 inclusive',
|
|
290
|
|
|
'Provide a scale within range',
|
|
291
|
|
|
'The Golden Ratio constant cannot have a scale higher than the constant stored (100)'
|
|
292
|
|
|
);
|
|
293
|
|
|
}
|
|
294
|
|
|
|
|
295
|
|
|
return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, $scale)->truncateToScale($scale);
|
|
296
|
1 |
|
}
|
|
297
|
|
|
|
|
298
|
|
|
return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, 100);
|
|
299
|
1 |
|
|
|
300
|
1 |
|
}
|
|
301
|
1 |
|
|
|
302
|
1 |
|
/**
|
|
303
|
1 |
|
* @param int|null $scale
|
|
304
|
1 |
|
*
|
|
305
|
|
|
* @return NumberInterface
|
|
306
|
|
|
* @throws IntegrityConstraint
|
|
307
|
|
|
*/
|
|
308
|
1 |
|
public static function makeNaturalLog10($scale = null)
|
|
309
|
|
|
{
|
|
310
|
|
|
|
|
311
|
1 |
|
if (!is_null($scale)) {
|
|
312
|
|
|
if ($scale > 100 || $scale < 1) {
|
|
313
|
|
|
throw new IntegrityConstraint(
|
|
314
|
|
|
'$scale must be between 1 and 100 inclusive',
|
|
315
|
|
|
'Provide a scale within range',
|
|
316
|
|
|
'The natural log of 10 constant cannot have a scale higher than the constant stored (100)'
|
|
317
|
|
|
);
|
|
318
|
|
|
}
|
|
319
|
|
|
|
|
320
|
|
|
return self::make(self::IMMUTABLE, self::LN_10, $scale)->truncateToScale($scale);
|
|
321
|
2 |
|
}
|
|
322
|
|
|
|
|
323
|
|
|
return self::make(self::IMMUTABLE, self::LN_10, 100);
|
|
324
|
2 |
|
|
|
325
|
1 |
|
}
|
|
326
|
1 |
|
|
|
327
|
1 |
|
/**
|
|
328
|
1 |
|
* @param int|null $scale
|
|
329
|
1 |
|
*
|
|
330
|
|
|
* @return ImmutableDecimal
|
|
331
|
|
|
* @throws IntegrityConstraint
|
|
332
|
|
|
*/
|
|
333
|
1 |
|
public static function makeOne($scale = null)
|
|
334
|
|
|
{
|
|
335
|
|
|
return self::make(self::IMMUTABLE, 1, $scale);
|
|
|
|
|
|
|
336
|
2 |
|
}
|
|
337
|
|
|
|
|
338
|
|
|
/**
|
|
339
|
|
|
* @param int|null $scale
|
|
340
|
|
|
*
|
|
341
|
|
|
* @return ImmutableDecimal
|
|
342
|
|
|
* @throws IntegrityConstraint
|
|
343
|
|
|
*/
|
|
344
|
|
|
public static function makeZero($scale = null)
|
|
345
|
|
|
{
|
|
346
|
68 |
|
return self::make(self::IMMUTABLE, 0, $scale);
|
|
|
|
|
|
|
347
|
|
|
}
|
|
348
|
68 |
|
|
|
349
|
|
|
public static function getDefaultCalcMode(): int
|
|
350
|
|
|
{
|
|
351
|
|
|
return self::$defaultCalcMode;
|
|
352
|
|
|
}
|
|
353
|
|
|
|
|
354
|
|
|
public static function setDefaultCalcMode(int $mode): void
|
|
355
|
|
|
{
|
|
356
|
|
|
self::$defaultCalcMode = $mode;
|
|
357
|
58 |
|
}
|
|
358
|
|
|
|
|
359
|
|
|
} |
JordanRL /
Fermat
Loading history...
This check looks for calls to methods that do not seem to exist on a given type. It looks for the method on the type itself as well as in inherited classes or implemented interfaces.
This is most likely a typographical error or the method has been renamed.