1 | /*
|
---|
2 | ** math.c - Math module
|
---|
3 | **
|
---|
4 | ** See Copyright Notice in mruby.h
|
---|
5 | */
|
---|
6 |
|
---|
7 | #ifdef MRB_WITHOUT_FLOAT
|
---|
8 | # error Math conflicts 'MRB_WITHOUT_FLOAT' configuration in your 'build_config.rb'
|
---|
9 | #endif
|
---|
10 |
|
---|
11 | #include <mruby.h>
|
---|
12 | #include <mruby/array.h>
|
---|
13 |
|
---|
14 | #include <math.h>
|
---|
15 |
|
---|
16 | static void
|
---|
17 | domain_error(mrb_state *mrb, const char *func)
|
---|
18 | {
|
---|
19 | struct RClass *math = mrb_module_get(mrb, "Math");
|
---|
20 | struct RClass *domainerror = mrb_class_get_under(mrb, math, "DomainError");
|
---|
21 | mrb_raisef(mrb, domainerror, "Numerical argument is out of domain - %s", func);
|
---|
22 | }
|
---|
23 |
|
---|
24 | /* math functions not provided by Microsoft Visual C++ 2012 or older */
|
---|
25 | #if defined _MSC_VER && _MSC_VER <= 1700
|
---|
26 |
|
---|
27 | #include <float.h>
|
---|
28 |
|
---|
29 | double
|
---|
30 | asinh(double x)
|
---|
31 | {
|
---|
32 | double xa, ya, y;
|
---|
33 |
|
---|
34 | /* Basic formula loses precision for x < 0, but asinh is an odd function */
|
---|
35 | xa = fabs(x);
|
---|
36 | if (xa > 3.16227E+18) {
|
---|
37 | /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
|
---|
38 | ya = log(xa) + 0.69314718055994530942;
|
---|
39 | }
|
---|
40 | else {
|
---|
41 | /* Basic formula for asinh */
|
---|
42 | ya = log(xa + sqrt(xa*xa + 1.0));
|
---|
43 | }
|
---|
44 |
|
---|
45 | y = _copysign(ya, x);
|
---|
46 | return y;
|
---|
47 | }
|
---|
48 |
|
---|
49 | double
|
---|
50 | acosh(double x)
|
---|
51 | {
|
---|
52 | double y;
|
---|
53 |
|
---|
54 | if (x > 3.16227E+18) {
|
---|
55 | /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
|
---|
56 | y = log(x) + 0.69314718055994530942;
|
---|
57 | }
|
---|
58 | else {
|
---|
59 | /* Basic formula for acosh */
|
---|
60 | y = log(x + sqrt(x*x - 1.0));
|
---|
61 | }
|
---|
62 |
|
---|
63 | return y;
|
---|
64 | }
|
---|
65 |
|
---|
66 | double
|
---|
67 | atanh(double x)
|
---|
68 | {
|
---|
69 | double y;
|
---|
70 |
|
---|
71 | if (fabs(x) < 1E-2) {
|
---|
72 | /* The sums 1+x and 1-x lose precision for small x. Use the polynomial
|
---|
73 | instead. */
|
---|
74 | double x2 = x * x;
|
---|
75 | y = x*(1.0 + x2*(1.0/3.0 + x2*(1.0/5.0 + x2*(1.0/7.0))));
|
---|
76 | }
|
---|
77 | else {
|
---|
78 | /* Basic formula for atanh */
|
---|
79 | y = 0.5 * (log(1.0+x) - log(1.0-x));
|
---|
80 | }
|
---|
81 |
|
---|
82 | return y;
|
---|
83 | }
|
---|
84 |
|
---|
85 | double
|
---|
86 | cbrt(double x)
|
---|
87 | {
|
---|
88 | double xa, ya, y;
|
---|
89 |
|
---|
90 | /* pow(x, y) is undefined for x < 0 and y not an integer, but cbrt is an
|
---|
91 | odd function */
|
---|
92 | xa = fabs(x);
|
---|
93 | ya = pow(xa, 1.0/3.0);
|
---|
94 | y = _copysign(ya, x);
|
---|
95 | return y;
|
---|
96 | }
|
---|
97 |
|
---|
98 | /* Declaration of complementary Error function */
|
---|
99 | double
|
---|
100 | erfc(double x);
|
---|
101 |
|
---|
102 | /*
|
---|
103 | ** Implementations of error functions
|
---|
104 | ** credits to http://www.digitalmars.com/archives/cplusplus/3634.html
|
---|
105 | */
|
---|
106 |
|
---|
107 | /* Implementation of Error function */
|
---|
108 | double
|
---|
109 | erf(double x)
|
---|
110 | {
|
---|
111 | static const double two_sqrtpi = 1.128379167095512574;
|
---|
112 | double sum = x;
|
---|
113 | double term = x;
|
---|
114 | double xsqr = x*x;
|
---|
115 | int j= 1;
|
---|
116 | if (fabs(x) > 2.2) {
|
---|
117 | return 1.0 - erfc(x);
|
---|
118 | }
|
---|
119 | do {
|
---|
120 | term *= xsqr/j;
|
---|
121 | sum -= term/(2*j+1);
|
---|
122 | ++j;
|
---|
123 | term *= xsqr/j;
|
---|
124 | sum += term/(2*j+1);
|
---|
125 | ++j;
|
---|
126 | if (sum == 0) break;
|
---|
127 | } while (fabs(term/sum) > DBL_EPSILON);
|
---|
128 | return two_sqrtpi*sum;
|
---|
129 | }
|
---|
130 |
|
---|
131 | /* Implementation of complementary Error function */
|
---|
132 | double
|
---|
133 | erfc(double x)
|
---|
134 | {
|
---|
135 | static const double one_sqrtpi= 0.564189583547756287;
|
---|
136 | double a = 1;
|
---|
137 | double b = x;
|
---|
138 | double c = x;
|
---|
139 | double d = x*x+0.5;
|
---|
140 | double q1;
|
---|
141 | double q2 = b/d;
|
---|
142 | double n = 1.0;
|
---|
143 | double t;
|
---|
144 | if (fabs(x) < 2.2) {
|
---|
145 | return 1.0 - erf(x);
|
---|
146 | }
|
---|
147 | if (x < 0.0) { /*signbit(x)*/
|
---|
148 | return 2.0 - erfc(-x);
|
---|
149 | }
|
---|
150 | do {
|
---|
151 | t = a*n+b*x;
|
---|
152 | a = b;
|
---|
153 | b = t;
|
---|
154 | t = c*n+d*x;
|
---|
155 | c = d;
|
---|
156 | d = t;
|
---|
157 | n += 0.5;
|
---|
158 | q1 = q2;
|
---|
159 | q2 = b/d;
|
---|
160 | } while (fabs(q1-q2)/q2 > DBL_EPSILON);
|
---|
161 | return one_sqrtpi*exp(-x*x)*q2;
|
---|
162 | }
|
---|
163 |
|
---|
164 | #endif
|
---|
165 |
|
---|
166 | #if defined __FreeBSD__ && !defined __FreeBSD_version
|
---|
167 | #include <osreldate.h> /* for __FreeBSD_version */
|
---|
168 | #endif
|
---|
169 |
|
---|
170 | #if (defined _MSC_VER && _MSC_VER < 1800) || defined __ANDROID__ || (defined __FreeBSD__ && __FreeBSD_version < 803000)
|
---|
171 |
|
---|
172 | double
|
---|
173 | log2(double x)
|
---|
174 | {
|
---|
175 | return log10(x)/log10(2.0);
|
---|
176 | }
|
---|
177 |
|
---|
178 | #endif
|
---|
179 |
|
---|
180 | /*
|
---|
181 | TRIGONOMETRIC FUNCTIONS
|
---|
182 | */
|
---|
183 |
|
---|
184 | /*
|
---|
185 | * call-seq:
|
---|
186 | * Math.sin(x) -> float
|
---|
187 | *
|
---|
188 | * Computes the sine of <i>x</i> (expressed in radians). Returns
|
---|
189 | * -1..1.
|
---|
190 | */
|
---|
191 | static mrb_value
|
---|
192 | math_sin(mrb_state *mrb, mrb_value obj)
|
---|
193 | {
|
---|
194 | mrb_float x;
|
---|
195 |
|
---|
196 | mrb_get_args(mrb, "f", &x);
|
---|
197 | x = sin(x);
|
---|
198 |
|
---|
199 | return mrb_float_value(mrb, x);
|
---|
200 | }
|
---|
201 |
|
---|
202 | /*
|
---|
203 | * call-seq:
|
---|
204 | * Math.cos(x) -> float
|
---|
205 | *
|
---|
206 | * Computes the cosine of <i>x</i> (expressed in radians). Returns
|
---|
207 | * -1..1.
|
---|
208 | */
|
---|
209 | static mrb_value
|
---|
210 | math_cos(mrb_state *mrb, mrb_value obj)
|
---|
211 | {
|
---|
212 | mrb_float x;
|
---|
213 |
|
---|
214 | mrb_get_args(mrb, "f", &x);
|
---|
215 | x = cos(x);
|
---|
216 |
|
---|
217 | return mrb_float_value(mrb, x);
|
---|
218 | }
|
---|
219 |
|
---|
220 | /*
|
---|
221 | * call-seq:
|
---|
222 | * Math.tan(x) -> float
|
---|
223 | *
|
---|
224 | * Returns the tangent of <i>x</i> (expressed in radians).
|
---|
225 | */
|
---|
226 | static mrb_value
|
---|
227 | math_tan(mrb_state *mrb, mrb_value obj)
|
---|
228 | {
|
---|
229 | mrb_float x;
|
---|
230 |
|
---|
231 | mrb_get_args(mrb, "f", &x);
|
---|
232 | x = tan(x);
|
---|
233 |
|
---|
234 | return mrb_float_value(mrb, x);
|
---|
235 | }
|
---|
236 |
|
---|
237 | /*
|
---|
238 | INVERSE TRIGONOMETRIC FUNCTIONS
|
---|
239 | */
|
---|
240 |
|
---|
241 | /*
|
---|
242 | * call-seq:
|
---|
243 | * Math.asin(x) -> float
|
---|
244 | *
|
---|
245 | * Computes the arc sine of <i>x</i>.
|
---|
246 | * @return computed value between `-(PI/2)` and `(PI/2)`.
|
---|
247 | */
|
---|
248 | static mrb_value
|
---|
249 | math_asin(mrb_state *mrb, mrb_value obj)
|
---|
250 | {
|
---|
251 | mrb_float x;
|
---|
252 |
|
---|
253 | mrb_get_args(mrb, "f", &x);
|
---|
254 | if (x < -1.0 || x > 1.0) {
|
---|
255 | domain_error(mrb, "asin");
|
---|
256 | }
|
---|
257 | x = asin(x);
|
---|
258 |
|
---|
259 | return mrb_float_value(mrb, x);
|
---|
260 | }
|
---|
261 |
|
---|
262 | /*
|
---|
263 | * call-seq:
|
---|
264 | * Math.acos(x) -> float
|
---|
265 | *
|
---|
266 | * Computes the arc cosine of <i>x</i>. Returns 0..PI.
|
---|
267 | */
|
---|
268 | static mrb_value
|
---|
269 | math_acos(mrb_state *mrb, mrb_value obj)
|
---|
270 | {
|
---|
271 | mrb_float x;
|
---|
272 |
|
---|
273 | mrb_get_args(mrb, "f", &x);
|
---|
274 | if (x < -1.0 || x > 1.0) {
|
---|
275 | domain_error(mrb, "acos");
|
---|
276 | }
|
---|
277 | x = acos(x);
|
---|
278 |
|
---|
279 | return mrb_float_value(mrb, x);
|
---|
280 | }
|
---|
281 |
|
---|
282 | /*
|
---|
283 | * call-seq:
|
---|
284 | * Math.atan(x) -> float
|
---|
285 | *
|
---|
286 | * Computes the arc tangent of <i>x</i>. Returns `-(PI/2) .. (PI/2)`.
|
---|
287 | */
|
---|
288 | static mrb_value
|
---|
289 | math_atan(mrb_state *mrb, mrb_value obj)
|
---|
290 | {
|
---|
291 | mrb_float x;
|
---|
292 |
|
---|
293 | mrb_get_args(mrb, "f", &x);
|
---|
294 | x = atan(x);
|
---|
295 |
|
---|
296 | return mrb_float_value(mrb, x);
|
---|
297 | }
|
---|
298 |
|
---|
299 | /*
|
---|
300 | * call-seq:
|
---|
301 | * Math.atan2(y, x) -> float
|
---|
302 | *
|
---|
303 | * Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
|
---|
304 | * -PI..PI.
|
---|
305 | *
|
---|
306 | * Math.atan2(-0.0, -1.0) #=> -3.141592653589793
|
---|
307 | * Math.atan2(-1.0, -1.0) #=> -2.356194490192345
|
---|
308 | * Math.atan2(-1.0, 0.0) #=> -1.5707963267948966
|
---|
309 | * Math.atan2(-1.0, 1.0) #=> -0.7853981633974483
|
---|
310 | * Math.atan2(-0.0, 1.0) #=> -0.0
|
---|
311 | * Math.atan2(0.0, 1.0) #=> 0.0
|
---|
312 | * Math.atan2(1.0, 1.0) #=> 0.7853981633974483
|
---|
313 | * Math.atan2(1.0, 0.0) #=> 1.5707963267948966
|
---|
314 | * Math.atan2(1.0, -1.0) #=> 2.356194490192345
|
---|
315 | * Math.atan2(0.0, -1.0) #=> 3.141592653589793
|
---|
316 | *
|
---|
317 | */
|
---|
318 | static mrb_value
|
---|
319 | math_atan2(mrb_state *mrb, mrb_value obj)
|
---|
320 | {
|
---|
321 | mrb_float x, y;
|
---|
322 |
|
---|
323 | mrb_get_args(mrb, "ff", &x, &y);
|
---|
324 | x = atan2(x, y);
|
---|
325 |
|
---|
326 | return mrb_float_value(mrb, x);
|
---|
327 | }
|
---|
328 |
|
---|
329 |
|
---|
330 |
|
---|
331 | /*
|
---|
332 | HYPERBOLIC TRIG FUNCTIONS
|
---|
333 | */
|
---|
334 | /*
|
---|
335 | * call-seq:
|
---|
336 | * Math.sinh(x) -> float
|
---|
337 | *
|
---|
338 | * Computes the hyperbolic sine of <i>x</i> (expressed in
|
---|
339 | * radians).
|
---|
340 | */
|
---|
341 | static mrb_value
|
---|
342 | math_sinh(mrb_state *mrb, mrb_value obj)
|
---|
343 | {
|
---|
344 | mrb_float x;
|
---|
345 |
|
---|
346 | mrb_get_args(mrb, "f", &x);
|
---|
347 | x = sinh(x);
|
---|
348 |
|
---|
349 | return mrb_float_value(mrb, x);
|
---|
350 | }
|
---|
351 |
|
---|
352 | /*
|
---|
353 | * call-seq:
|
---|
354 | * Math.cosh(x) -> float
|
---|
355 | *
|
---|
356 | * Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
|
---|
357 | */
|
---|
358 | static mrb_value
|
---|
359 | math_cosh(mrb_state *mrb, mrb_value obj)
|
---|
360 | {
|
---|
361 | mrb_float x;
|
---|
362 |
|
---|
363 | mrb_get_args(mrb, "f", &x);
|
---|
364 | x = cosh(x);
|
---|
365 |
|
---|
366 | return mrb_float_value(mrb, x);
|
---|
367 | }
|
---|
368 |
|
---|
369 | /*
|
---|
370 | * call-seq:
|
---|
371 | * Math.tanh() -> float
|
---|
372 | *
|
---|
373 | * Computes the hyperbolic tangent of <i>x</i> (expressed in
|
---|
374 | * radians).
|
---|
375 | */
|
---|
376 | static mrb_value
|
---|
377 | math_tanh(mrb_state *mrb, mrb_value obj)
|
---|
378 | {
|
---|
379 | mrb_float x;
|
---|
380 |
|
---|
381 | mrb_get_args(mrb, "f", &x);
|
---|
382 | x = tanh(x);
|
---|
383 |
|
---|
384 | return mrb_float_value(mrb, x);
|
---|
385 | }
|
---|
386 |
|
---|
387 |
|
---|
388 | /*
|
---|
389 | INVERSE HYPERBOLIC TRIG FUNCTIONS
|
---|
390 | */
|
---|
391 |
|
---|
392 | /*
|
---|
393 | * call-seq:
|
---|
394 | * Math.asinh(x) -> float
|
---|
395 | *
|
---|
396 | * Computes the inverse hyperbolic sine of <i>x</i>.
|
---|
397 | */
|
---|
398 | static mrb_value
|
---|
399 | math_asinh(mrb_state *mrb, mrb_value obj)
|
---|
400 | {
|
---|
401 | mrb_float x;
|
---|
402 |
|
---|
403 | mrb_get_args(mrb, "f", &x);
|
---|
404 |
|
---|
405 | x = asinh(x);
|
---|
406 |
|
---|
407 | return mrb_float_value(mrb, x);
|
---|
408 | }
|
---|
409 |
|
---|
410 | /*
|
---|
411 | * call-seq:
|
---|
412 | * Math.acosh(x) -> float
|
---|
413 | *
|
---|
414 | * Computes the inverse hyperbolic cosine of <i>x</i>.
|
---|
415 | */
|
---|
416 | static mrb_value
|
---|
417 | math_acosh(mrb_state *mrb, mrb_value obj)
|
---|
418 | {
|
---|
419 | mrb_float x;
|
---|
420 |
|
---|
421 | mrb_get_args(mrb, "f", &x);
|
---|
422 | if (x < 1.0) {
|
---|
423 | domain_error(mrb, "acosh");
|
---|
424 | }
|
---|
425 | x = acosh(x);
|
---|
426 |
|
---|
427 | return mrb_float_value(mrb, x);
|
---|
428 | }
|
---|
429 |
|
---|
430 | /*
|
---|
431 | * call-seq:
|
---|
432 | * Math.atanh(x) -> float
|
---|
433 | *
|
---|
434 | * Computes the inverse hyperbolic tangent of <i>x</i>.
|
---|
435 | */
|
---|
436 | static mrb_value
|
---|
437 | math_atanh(mrb_state *mrb, mrb_value obj)
|
---|
438 | {
|
---|
439 | mrb_float x;
|
---|
440 |
|
---|
441 | mrb_get_args(mrb, "f", &x);
|
---|
442 | if (x < -1.0 || x > 1.0) {
|
---|
443 | domain_error(mrb, "atanh");
|
---|
444 | }
|
---|
445 | x = atanh(x);
|
---|
446 |
|
---|
447 | return mrb_float_value(mrb, x);
|
---|
448 | }
|
---|
449 |
|
---|
450 | /*
|
---|
451 | EXPONENTIALS AND LOGARITHMS
|
---|
452 | */
|
---|
453 |
|
---|
454 | /*
|
---|
455 | * call-seq:
|
---|
456 | * Math.exp(x) -> float
|
---|
457 | *
|
---|
458 | * Returns e**x.
|
---|
459 | *
|
---|
460 | * Math.exp(0) #=> 1.0
|
---|
461 | * Math.exp(1) #=> 2.718281828459045
|
---|
462 | * Math.exp(1.5) #=> 4.4816890703380645
|
---|
463 | *
|
---|
464 | */
|
---|
465 | static mrb_value
|
---|
466 | math_exp(mrb_state *mrb, mrb_value obj)
|
---|
467 | {
|
---|
468 | mrb_float x;
|
---|
469 |
|
---|
470 | mrb_get_args(mrb, "f", &x);
|
---|
471 | x = exp(x);
|
---|
472 |
|
---|
473 | return mrb_float_value(mrb, x);
|
---|
474 | }
|
---|
475 |
|
---|
476 | /*
|
---|
477 | * call-seq:
|
---|
478 | * Math.log(numeric) -> float
|
---|
479 | * Math.log(num,base) -> float
|
---|
480 | *
|
---|
481 | * Returns the natural logarithm of <i>numeric</i>.
|
---|
482 | * If additional second argument is given, it will be the base
|
---|
483 | * of logarithm.
|
---|
484 | *
|
---|
485 | * Math.log(1) #=> 0.0
|
---|
486 | * Math.log(Math::E) #=> 1.0
|
---|
487 | * Math.log(Math::E**3) #=> 3.0
|
---|
488 | * Math.log(12,3) #=> 2.2618595071429146
|
---|
489 | *
|
---|
490 | */
|
---|
491 | static mrb_value
|
---|
492 | math_log(mrb_state *mrb, mrb_value obj)
|
---|
493 | {
|
---|
494 | mrb_float x, base;
|
---|
495 | mrb_int argc;
|
---|
496 |
|
---|
497 | argc = mrb_get_args(mrb, "f|f", &x, &base);
|
---|
498 | if (x < 0.0) {
|
---|
499 | domain_error(mrb, "log");
|
---|
500 | }
|
---|
501 | x = log(x);
|
---|
502 | if (argc == 2) {
|
---|
503 | if (base < 0.0) {
|
---|
504 | domain_error(mrb, "log");
|
---|
505 | }
|
---|
506 | x /= log(base);
|
---|
507 | }
|
---|
508 | return mrb_float_value(mrb, x);
|
---|
509 | }
|
---|
510 |
|
---|
511 | /*
|
---|
512 | * call-seq:
|
---|
513 | * Math.log2(numeric) -> float
|
---|
514 | *
|
---|
515 | * Returns the base 2 logarithm of <i>numeric</i>.
|
---|
516 | *
|
---|
517 | * Math.log2(1) #=> 0.0
|
---|
518 | * Math.log2(2) #=> 1.0
|
---|
519 | * Math.log2(32768) #=> 15.0
|
---|
520 | * Math.log2(65536) #=> 16.0
|
---|
521 | *
|
---|
522 | */
|
---|
523 | static mrb_value
|
---|
524 | math_log2(mrb_state *mrb, mrb_value obj)
|
---|
525 | {
|
---|
526 | mrb_float x;
|
---|
527 |
|
---|
528 | mrb_get_args(mrb, "f", &x);
|
---|
529 | if (x < 0.0) {
|
---|
530 | domain_error(mrb, "log2");
|
---|
531 | }
|
---|
532 | x = log2(x);
|
---|
533 |
|
---|
534 | return mrb_float_value(mrb, x);
|
---|
535 | }
|
---|
536 |
|
---|
537 | /*
|
---|
538 | * call-seq:
|
---|
539 | * Math.log10(numeric) -> float
|
---|
540 | *
|
---|
541 | * Returns the base 10 logarithm of <i>numeric</i>.
|
---|
542 | *
|
---|
543 | * Math.log10(1) #=> 0.0
|
---|
544 | * Math.log10(10) #=> 1.0
|
---|
545 | * Math.log10(10**100) #=> 100.0
|
---|
546 | *
|
---|
547 | */
|
---|
548 | static mrb_value
|
---|
549 | math_log10(mrb_state *mrb, mrb_value obj)
|
---|
550 | {
|
---|
551 | mrb_float x;
|
---|
552 |
|
---|
553 | mrb_get_args(mrb, "f", &x);
|
---|
554 | if (x < 0.0) {
|
---|
555 | domain_error(mrb, "log10");
|
---|
556 | }
|
---|
557 | x = log10(x);
|
---|
558 |
|
---|
559 | return mrb_float_value(mrb, x);
|
---|
560 | }
|
---|
561 |
|
---|
562 | /*
|
---|
563 | * call-seq:
|
---|
564 | * Math.sqrt(numeric) -> float
|
---|
565 | *
|
---|
566 | * Returns the square root of <i>numeric</i>.
|
---|
567 | *
|
---|
568 | */
|
---|
569 | static mrb_value
|
---|
570 | math_sqrt(mrb_state *mrb, mrb_value obj)
|
---|
571 | {
|
---|
572 | mrb_float x;
|
---|
573 |
|
---|
574 | mrb_get_args(mrb, "f", &x);
|
---|
575 | if (x < 0.0) {
|
---|
576 | domain_error(mrb, "sqrt");
|
---|
577 | }
|
---|
578 | x = sqrt(x);
|
---|
579 |
|
---|
580 | return mrb_float_value(mrb, x);
|
---|
581 | }
|
---|
582 |
|
---|
583 |
|
---|
584 | /*
|
---|
585 | * call-seq:
|
---|
586 | * Math.cbrt(numeric) -> float
|
---|
587 | *
|
---|
588 | * Returns the cube root of <i>numeric</i>.
|
---|
589 | *
|
---|
590 | * -9.upto(9) {|x|
|
---|
591 | * p [x, Math.cbrt(x), Math.cbrt(x)**3]
|
---|
592 | * }
|
---|
593 | * #=>
|
---|
594 | * [-9, -2.0800838230519, -9.0]
|
---|
595 | * [-8, -2.0, -8.0]
|
---|
596 | * [-7, -1.91293118277239, -7.0]
|
---|
597 | * [-6, -1.81712059283214, -6.0]
|
---|
598 | * [-5, -1.7099759466767, -5.0]
|
---|
599 | * [-4, -1.5874010519682, -4.0]
|
---|
600 | * [-3, -1.44224957030741, -3.0]
|
---|
601 | * [-2, -1.25992104989487, -2.0]
|
---|
602 | * [-1, -1.0, -1.0]
|
---|
603 | * [0, 0.0, 0.0]
|
---|
604 | * [1, 1.0, 1.0]
|
---|
605 | * [2, 1.25992104989487, 2.0]
|
---|
606 | * [3, 1.44224957030741, 3.0]
|
---|
607 | * [4, 1.5874010519682, 4.0]
|
---|
608 | * [5, 1.7099759466767, 5.0]
|
---|
609 | * [6, 1.81712059283214, 6.0]
|
---|
610 | * [7, 1.91293118277239, 7.0]
|
---|
611 | * [8, 2.0, 8.0]
|
---|
612 | * [9, 2.0800838230519, 9.0]
|
---|
613 | *
|
---|
614 | */
|
---|
615 | static mrb_value
|
---|
616 | math_cbrt(mrb_state *mrb, mrb_value obj)
|
---|
617 | {
|
---|
618 | mrb_float x;
|
---|
619 |
|
---|
620 | mrb_get_args(mrb, "f", &x);
|
---|
621 | x = cbrt(x);
|
---|
622 |
|
---|
623 | return mrb_float_value(mrb, x);
|
---|
624 | }
|
---|
625 |
|
---|
626 |
|
---|
627 | /*
|
---|
628 | * call-seq:
|
---|
629 | * Math.frexp(numeric) -> [ fraction, exponent ]
|
---|
630 | *
|
---|
631 | * Returns a two-element array containing the normalized fraction (a
|
---|
632 | * <code>Float</code>) and exponent (a <code>Fixnum</code>) of
|
---|
633 | * <i>numeric</i>.
|
---|
634 | *
|
---|
635 | * fraction, exponent = Math.frexp(1234) #=> [0.6025390625, 11]
|
---|
636 | * fraction * 2**exponent #=> 1234.0
|
---|
637 | */
|
---|
638 | static mrb_value
|
---|
639 | math_frexp(mrb_state *mrb, mrb_value obj)
|
---|
640 | {
|
---|
641 | mrb_float x;
|
---|
642 | int exp;
|
---|
643 |
|
---|
644 | mrb_get_args(mrb, "f", &x);
|
---|
645 | x = frexp(x, &exp);
|
---|
646 |
|
---|
647 | return mrb_assoc_new(mrb, mrb_float_value(mrb, x), mrb_fixnum_value(exp));
|
---|
648 | }
|
---|
649 |
|
---|
650 | /*
|
---|
651 | * call-seq:
|
---|
652 | * Math.ldexp(flt, int) -> float
|
---|
653 | *
|
---|
654 | * Returns the value of <i>flt</i>*(2**<i>int</i>).
|
---|
655 | *
|
---|
656 | * fraction, exponent = Math.frexp(1234)
|
---|
657 | * Math.ldexp(fraction, exponent) #=> 1234.0
|
---|
658 | */
|
---|
659 | static mrb_value
|
---|
660 | math_ldexp(mrb_state *mrb, mrb_value obj)
|
---|
661 | {
|
---|
662 | mrb_float x;
|
---|
663 | mrb_int i;
|
---|
664 |
|
---|
665 | mrb_get_args(mrb, "fi", &x, &i);
|
---|
666 | x = ldexp(x, (int)i);
|
---|
667 |
|
---|
668 | return mrb_float_value(mrb, x);
|
---|
669 | }
|
---|
670 |
|
---|
671 | /*
|
---|
672 | * call-seq:
|
---|
673 | * Math.hypot(x, y) -> float
|
---|
674 | *
|
---|
675 | * Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle
|
---|
676 | * with sides <i>x</i> and <i>y</i>.
|
---|
677 | *
|
---|
678 | * Math.hypot(3, 4) #=> 5.0
|
---|
679 | */
|
---|
680 | static mrb_value
|
---|
681 | math_hypot(mrb_state *mrb, mrb_value obj)
|
---|
682 | {
|
---|
683 | mrb_float x, y;
|
---|
684 |
|
---|
685 | mrb_get_args(mrb, "ff", &x, &y);
|
---|
686 | x = hypot(x, y);
|
---|
687 |
|
---|
688 | return mrb_float_value(mrb, x);
|
---|
689 | }
|
---|
690 |
|
---|
691 | /*
|
---|
692 | * call-seq:
|
---|
693 | * Math.erf(x) -> float
|
---|
694 | *
|
---|
695 | * Calculates the error function of x.
|
---|
696 | */
|
---|
697 | static mrb_value
|
---|
698 | math_erf(mrb_state *mrb, mrb_value obj)
|
---|
699 | {
|
---|
700 | mrb_float x;
|
---|
701 |
|
---|
702 | mrb_get_args(mrb, "f", &x);
|
---|
703 | x = erf(x);
|
---|
704 |
|
---|
705 | return mrb_float_value(mrb, x);
|
---|
706 | }
|
---|
707 |
|
---|
708 |
|
---|
709 | /*
|
---|
710 | * call-seq:
|
---|
711 | * Math.erfc(x) -> float
|
---|
712 | *
|
---|
713 | * Calculates the complementary error function of x.
|
---|
714 | */
|
---|
715 | static mrb_value
|
---|
716 | math_erfc(mrb_state *mrb, mrb_value obj)
|
---|
717 | {
|
---|
718 | mrb_float x;
|
---|
719 |
|
---|
720 | mrb_get_args(mrb, "f", &x);
|
---|
721 | x = erfc(x);
|
---|
722 |
|
---|
723 | return mrb_float_value(mrb, x);
|
---|
724 | }
|
---|
725 |
|
---|
726 | /* ------------------------------------------------------------------------*/
|
---|
727 | void
|
---|
728 | mrb_mruby_math_gem_init(mrb_state* mrb)
|
---|
729 | {
|
---|
730 | struct RClass *mrb_math;
|
---|
731 | mrb_math = mrb_define_module(mrb, "Math");
|
---|
732 |
|
---|
733 | mrb_define_class_under(mrb, mrb_math, "DomainError", mrb->eStandardError_class);
|
---|
734 |
|
---|
735 | #ifdef M_PI
|
---|
736 | mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, M_PI));
|
---|
737 | #else
|
---|
738 | mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, atan(1.0)*4.0));
|
---|
739 | #endif
|
---|
740 |
|
---|
741 | #ifdef M_E
|
---|
742 | mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, M_E));
|
---|
743 | #else
|
---|
744 | mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, exp(1.0)));
|
---|
745 | #endif
|
---|
746 |
|
---|
747 | mrb_define_module_function(mrb, mrb_math, "sin", math_sin, MRB_ARGS_REQ(1));
|
---|
748 | mrb_define_module_function(mrb, mrb_math, "cos", math_cos, MRB_ARGS_REQ(1));
|
---|
749 | mrb_define_module_function(mrb, mrb_math, "tan", math_tan, MRB_ARGS_REQ(1));
|
---|
750 |
|
---|
751 | mrb_define_module_function(mrb, mrb_math, "asin", math_asin, MRB_ARGS_REQ(1));
|
---|
752 | mrb_define_module_function(mrb, mrb_math, "acos", math_acos, MRB_ARGS_REQ(1));
|
---|
753 | mrb_define_module_function(mrb, mrb_math, "atan", math_atan, MRB_ARGS_REQ(1));
|
---|
754 | mrb_define_module_function(mrb, mrb_math, "atan2", math_atan2, MRB_ARGS_REQ(2));
|
---|
755 |
|
---|
756 | mrb_define_module_function(mrb, mrb_math, "sinh", math_sinh, MRB_ARGS_REQ(1));
|
---|
757 | mrb_define_module_function(mrb, mrb_math, "cosh", math_cosh, MRB_ARGS_REQ(1));
|
---|
758 | mrb_define_module_function(mrb, mrb_math, "tanh", math_tanh, MRB_ARGS_REQ(1));
|
---|
759 |
|
---|
760 | mrb_define_module_function(mrb, mrb_math, "asinh", math_asinh, MRB_ARGS_REQ(1));
|
---|
761 | mrb_define_module_function(mrb, mrb_math, "acosh", math_acosh, MRB_ARGS_REQ(1));
|
---|
762 | mrb_define_module_function(mrb, mrb_math, "atanh", math_atanh, MRB_ARGS_REQ(1));
|
---|
763 |
|
---|
764 | mrb_define_module_function(mrb, mrb_math, "exp", math_exp, MRB_ARGS_REQ(1));
|
---|
765 | mrb_define_module_function(mrb, mrb_math, "log", math_log, MRB_ARGS_REQ(1)|MRB_ARGS_OPT(1));
|
---|
766 | mrb_define_module_function(mrb, mrb_math, "log2", math_log2, MRB_ARGS_REQ(1));
|
---|
767 | mrb_define_module_function(mrb, mrb_math, "log10", math_log10, MRB_ARGS_REQ(1));
|
---|
768 | mrb_define_module_function(mrb, mrb_math, "sqrt", math_sqrt, MRB_ARGS_REQ(1));
|
---|
769 | mrb_define_module_function(mrb, mrb_math, "cbrt", math_cbrt, MRB_ARGS_REQ(1));
|
---|
770 |
|
---|
771 | mrb_define_module_function(mrb, mrb_math, "frexp", math_frexp, MRB_ARGS_REQ(1));
|
---|
772 | mrb_define_module_function(mrb, mrb_math, "ldexp", math_ldexp, MRB_ARGS_REQ(2));
|
---|
773 |
|
---|
774 | mrb_define_module_function(mrb, mrb_math, "hypot", math_hypot, MRB_ARGS_REQ(2));
|
---|
775 |
|
---|
776 | mrb_define_module_function(mrb, mrb_math, "erf", math_erf, MRB_ARGS_REQ(1));
|
---|
777 | mrb_define_module_function(mrb, mrb_math, "erfc", math_erfc, MRB_ARGS_REQ(1));
|
---|
778 | }
|
---|
779 |
|
---|
780 | void
|
---|
781 | mrb_mruby_math_gem_final(mrb_state* mrb)
|
---|
782 | {
|
---|
783 | }
|
---|