xref: /openbsd-src/gnu/usr.bin/perl/cpan/Math-BigInt-FastCalc/FastCalc.xs (revision 9f11ffb7133c203312a01e4b986886bc88c7d74b)
1*b8851fccSafresh1 #define PERL_NO_GET_CONTEXT
2*b8851fccSafresh1 
3*b8851fccSafresh1 #include "EXTERN.h"
4*b8851fccSafresh1 #include "perl.h"
5*b8851fccSafresh1 #include "XSUB.h"
6*b8851fccSafresh1 
7*b8851fccSafresh1 /* for Perl prior to v5.7.1 */
8*b8851fccSafresh1 #ifndef SvUOK
9*b8851fccSafresh1 #  define SvUOK(sv) SvIOK_UV(sv)
10*b8851fccSafresh1 #endif
11*b8851fccSafresh1 
12*b8851fccSafresh1 /* for Perl v5.6 (RT #63859) */
13*b8851fccSafresh1 #ifndef croak_xs_usage
14*b8851fccSafresh1 # define croak_xs_usage croak
15*b8851fccSafresh1 #endif
16*b8851fccSafresh1 
17*b8851fccSafresh1 static double XS_BASE = 0;
18*b8851fccSafresh1 static double XS_BASE_LEN = 0;
19*b8851fccSafresh1 
20*b8851fccSafresh1 MODULE = Math::BigInt::FastCalc		PACKAGE = Math::BigInt::FastCalc
21*b8851fccSafresh1 
22*b8851fccSafresh1 PROTOTYPES: DISABLE
23*b8851fccSafresh1 
24*b8851fccSafresh1  #############################################################################
25*b8851fccSafresh1  # 2002-08-12 0.03 Tels unreleased
26*b8851fccSafresh1  #  * is_zero/is_one/is_odd/is_even/len work now (pass v1.61 tests)
27*b8851fccSafresh1  # 2002-08-13 0.04 Tels unreleased
28*b8851fccSafresh1  #  * returns no/yes for is_foo() methods to be faster
29*b8851fccSafresh1  # 2002-08-18 0.06alpha
30*b8851fccSafresh1  #  * added _num(), _inc() and _dec()
31*b8851fccSafresh1  # 2002-08-25 0.06 Tels
32*b8851fccSafresh1  #  * added __strip_zeros(), _copy()
33*b8851fccSafresh1  # 2004-08-13 0.07 Tels
34*b8851fccSafresh1  #  * added _is_two(), _is_ten(), _ten()
35*b8851fccSafresh1  # 2007-04-02 0.08 Tels
36*b8851fccSafresh1  #  * plug leaks by creating mortals
37*b8851fccSafresh1  # 2007-05-27 0.09 Tels
38*b8851fccSafresh1  #  * add _new()
39*b8851fccSafresh1 
40*b8851fccSafresh1 #define RETURN_MORTAL_INT(value)		\
41*b8851fccSafresh1       ST(0) = sv_2mortal(newSViv(value));	\
42*b8851fccSafresh1       XSRETURN(1);
43*b8851fccSafresh1 
44*b8851fccSafresh1 BOOT:
45*b8851fccSafresh1 {
46*b8851fccSafresh1     if (items < 4)
47*b8851fccSafresh1 	croak("Usage: Math::BigInt::FastCalc::BOOT(package, version, base_len, base)");
48*b8851fccSafresh1     XS_BASE_LEN = SvIV(ST(2));
49*b8851fccSafresh1     XS_BASE = SvNV(ST(3));
50*b8851fccSafresh1 }
51*b8851fccSafresh1 
52*b8851fccSafresh1 ##############################################################################
53*b8851fccSafresh1 # _new
54*b8851fccSafresh1 
55*b8851fccSafresh1 SV *
56*b8851fccSafresh1 _new(class, x)
57*b8851fccSafresh1   SV*	x
58*b8851fccSafresh1   INIT:
59*b8851fccSafresh1     STRLEN len;
60*b8851fccSafresh1     char* cur;
61*b8851fccSafresh1     STRLEN part_len;
62*b8851fccSafresh1     AV *av = newAV();
63*b8851fccSafresh1 
64*b8851fccSafresh1   CODE:
65*b8851fccSafresh1     if (SvUOK(x) && SvUV(x) < XS_BASE)
66*b8851fccSafresh1       {
67*b8851fccSafresh1       /* shortcut for integer arguments */
68*b8851fccSafresh1       av_push (av, newSVuv( SvUV(x) ));
69*b8851fccSafresh1       }
70*b8851fccSafresh1     else
71*b8851fccSafresh1       {
72*b8851fccSafresh1       /* split the input (as string) into XS_BASE_LEN long parts */
73*b8851fccSafresh1       /* in perl:
74*b8851fccSafresh1 		[ reverse(unpack("a" . ($il % $BASE_LEN+1)
75*b8851fccSafresh1 		. ("a$BASE_LEN" x ($il / $BASE_LEN)), $_[1])) ];
76*b8851fccSafresh1       */
77*b8851fccSafresh1       cur = SvPV(x, len);			/* convert to string & store length */
78*b8851fccSafresh1       cur += len;				/* doing "cur = SvEND(x)" does not work! */
79*b8851fccSafresh1       # process the string from the back
80*b8851fccSafresh1       while (len > 0)
81*b8851fccSafresh1         {
82*b8851fccSafresh1         /* use either BASE_LEN or the amount of remaining digits */
83*b8851fccSafresh1         part_len = (STRLEN) XS_BASE_LEN;
84*b8851fccSafresh1         if (part_len > len)
85*b8851fccSafresh1           {
86*b8851fccSafresh1           part_len = len;
87*b8851fccSafresh1           }
88*b8851fccSafresh1         /* processed so many digits */
89*b8851fccSafresh1         cur -= part_len;
90*b8851fccSafresh1         len -= part_len;
91*b8851fccSafresh1         /* printf ("part '%s' (part_len: %i, len: %i, BASE_LEN: %i)\n", cur, part_len, len, XS_BASE_LEN); */
92*b8851fccSafresh1         if (part_len > 0)
93*b8851fccSafresh1 	  {
94*b8851fccSafresh1 	  av_push (av, newSVpvn(cur, part_len) );
95*b8851fccSafresh1 	  }
96*b8851fccSafresh1         }
97*b8851fccSafresh1       }
98*b8851fccSafresh1     RETVAL = newRV_noinc((SV *)av);
99*b8851fccSafresh1   OUTPUT:
100*b8851fccSafresh1     RETVAL
101*b8851fccSafresh1 
102*b8851fccSafresh1 ##############################################################################
103*b8851fccSafresh1 # _copy
104*b8851fccSafresh1 
105*b8851fccSafresh1 void
106*b8851fccSafresh1 _copy(class, x)
107*b8851fccSafresh1   SV*	x
108*b8851fccSafresh1   INIT:
109*b8851fccSafresh1     AV*	a;
110*b8851fccSafresh1     AV*	a2;
111*b8851fccSafresh1     SSize_t elems;
112*b8851fccSafresh1 
113*b8851fccSafresh1   CODE:
114*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
115*b8851fccSafresh1     elems = av_len(a);			/* number of elems in array */
116*b8851fccSafresh1     a2 = (AV*)sv_2mortal((SV*)newAV());
117*b8851fccSafresh1     av_extend (a2, elems);		/* pre-padd */
118*b8851fccSafresh1     while (elems >= 0)
119*b8851fccSafresh1       {
120*b8851fccSafresh1       /* av_store( a2,  elems, newSVsv( (SV*)*av_fetch(a, elems, 0) ) ); */
121*b8851fccSafresh1 
122*b8851fccSafresh1       /* looking and trying to preserve IV is actually slower when copying */
123*b8851fccSafresh1       /* temp = (SV*)*av_fetch(a, elems, 0);
124*b8851fccSafresh1       if (SvIOK(temp))
125*b8851fccSafresh1         {
126*b8851fccSafresh1         av_store( a2,  elems, newSViv( SvIV( (SV*)*av_fetch(a, elems, 0) )));
127*b8851fccSafresh1         }
128*b8851fccSafresh1       else
129*b8851fccSafresh1         {
130*b8851fccSafresh1         av_store( a2,  elems, newSVnv( SvNV( (SV*)*av_fetch(a, elems, 0) )));
131*b8851fccSafresh1         }
132*b8851fccSafresh1       */
133*b8851fccSafresh1       av_store( a2,  elems, newSVnv( SvNV( (SV*)*av_fetch(a, elems, 0) )));
134*b8851fccSafresh1       elems--;
135*b8851fccSafresh1       }
136*b8851fccSafresh1     ST(0) = sv_2mortal( newRV_inc((SV*) a2) );
137*b8851fccSafresh1 
138*b8851fccSafresh1 ##############################################################################
139*b8851fccSafresh1 # __strip_zeros (also check for empty arrays from div)
140*b8851fccSafresh1 
141*b8851fccSafresh1 void
142*b8851fccSafresh1 __strip_zeros(x)
143*b8851fccSafresh1   SV*	x
144*b8851fccSafresh1   INIT:
145*b8851fccSafresh1     AV*	a;
146*b8851fccSafresh1     SV*	temp;
147*b8851fccSafresh1     SSize_t elems;
148*b8851fccSafresh1     SSize_t index;
149*b8851fccSafresh1 
150*b8851fccSafresh1   CODE:
151*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
152*b8851fccSafresh1     elems = av_len(a);			/* number of elems in array */
153*b8851fccSafresh1     ST(0) = x;				/* we return x */
154*b8851fccSafresh1     if (elems == -1)
155*b8851fccSafresh1       {
156*b8851fccSafresh1       av_push (a, newSViv(0));		/* correct empty arrays */
157*b8851fccSafresh1       XSRETURN(1);
158*b8851fccSafresh1       }
159*b8851fccSafresh1     if (elems == 0)
160*b8851fccSafresh1       {
161*b8851fccSafresh1       XSRETURN(1);			/* nothing to do since only one elem */
162*b8851fccSafresh1       }
163*b8851fccSafresh1     index = elems;
164*b8851fccSafresh1     while (index > 0)
165*b8851fccSafresh1       {
166*b8851fccSafresh1       temp = *av_fetch(a, index, 0);	/* fetch ptr to current element */
167*b8851fccSafresh1       if (SvNV(temp) != 0)
168*b8851fccSafresh1         {
169*b8851fccSafresh1         break;
170*b8851fccSafresh1         }
171*b8851fccSafresh1       index--;
172*b8851fccSafresh1       }
173*b8851fccSafresh1     if (index < elems)
174*b8851fccSafresh1       {
175*b8851fccSafresh1       index = elems - index;
176*b8851fccSafresh1       while (index-- > 0)
177*b8851fccSafresh1         {
178*b8851fccSafresh1         av_pop (a);
179*b8851fccSafresh1         }
180*b8851fccSafresh1       }
181*b8851fccSafresh1     XSRETURN(1);
182*b8851fccSafresh1 
183*b8851fccSafresh1 ##############################################################################
184*b8851fccSafresh1 # decrement (subtract one)
185*b8851fccSafresh1 
186*b8851fccSafresh1 void
187*b8851fccSafresh1 _dec(class,x)
188*b8851fccSafresh1   SV*	x
189*b8851fccSafresh1   INIT:
190*b8851fccSafresh1     AV*	a;
191*b8851fccSafresh1     SV*	temp;
192*b8851fccSafresh1     SSize_t elems;
193*b8851fccSafresh1     SSize_t index;
194*b8851fccSafresh1     NV	MAX;
195*b8851fccSafresh1 
196*b8851fccSafresh1   CODE:
197*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
198*b8851fccSafresh1     elems = av_len(a);			/* number of elems in array */
199*b8851fccSafresh1     ST(0) = x;				/* we return x */
200*b8851fccSafresh1 
201*b8851fccSafresh1     MAX = XS_BASE - 1;
202*b8851fccSafresh1     index = 0;
203*b8851fccSafresh1     while (index <= elems)
204*b8851fccSafresh1       {
205*b8851fccSafresh1       temp = *av_fetch(a, index, 0);	/* fetch ptr to current element */
206*b8851fccSafresh1       sv_setnv (temp, SvNV(temp)-1);	/* decrement */
207*b8851fccSafresh1       if (SvNV(temp) >= 0)
208*b8851fccSafresh1         {
209*b8851fccSafresh1         break;				/* early out */
210*b8851fccSafresh1         }
211*b8851fccSafresh1       sv_setnv (temp, MAX);		/* overflow, so set this to $MAX */
212*b8851fccSafresh1       index++;
213*b8851fccSafresh1       }
214*b8851fccSafresh1     /* do have more than one element? */
215*b8851fccSafresh1     /* (more than one because [0] should be kept as single-element) */
216*b8851fccSafresh1     if (elems > 0)
217*b8851fccSafresh1       {
218*b8851fccSafresh1       temp = *av_fetch(a, elems, 0);	/* fetch last element */
219*b8851fccSafresh1       if (SvIV(temp) == 0)		/* did last elem overflow? */
220*b8851fccSafresh1         {
221*b8851fccSafresh1         av_pop(a);			/* yes, so shrink array */
222*b8851fccSafresh1         				/* aka remove leading zeros */
223*b8851fccSafresh1         }
224*b8851fccSafresh1       }
225*b8851fccSafresh1     XSRETURN(1);			/* return x */
226*b8851fccSafresh1 
227*b8851fccSafresh1 ##############################################################################
228*b8851fccSafresh1 # increment (add one)
229*b8851fccSafresh1 
230*b8851fccSafresh1 void
231*b8851fccSafresh1 _inc(class,x)
232*b8851fccSafresh1   SV*	x
233*b8851fccSafresh1   INIT:
234*b8851fccSafresh1     AV*	a;
235*b8851fccSafresh1     SV*	temp;
236*b8851fccSafresh1     SSize_t elems;
237*b8851fccSafresh1     SSize_t index;
238*b8851fccSafresh1     NV	BASE;
239*b8851fccSafresh1 
240*b8851fccSafresh1   CODE:
241*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
242*b8851fccSafresh1     elems = av_len(a);			/* number of elems in array */
243*b8851fccSafresh1     ST(0) = x;				/* we return x */
244*b8851fccSafresh1 
245*b8851fccSafresh1     BASE = XS_BASE;
246*b8851fccSafresh1     index = 0;
247*b8851fccSafresh1     while (index <= elems)
248*b8851fccSafresh1       {
249*b8851fccSafresh1       temp = *av_fetch(a, index, 0);	/* fetch ptr to current element */
250*b8851fccSafresh1       sv_setnv (temp, SvNV(temp)+1);
251*b8851fccSafresh1       if (SvNV(temp) < BASE)
252*b8851fccSafresh1         {
253*b8851fccSafresh1         XSRETURN(1);			/* return (early out) */
254*b8851fccSafresh1         }
255*b8851fccSafresh1       sv_setiv (temp, 0);		/* overflow, so set this elem to 0 */
256*b8851fccSafresh1       index++;
257*b8851fccSafresh1       }
258*b8851fccSafresh1     temp = *av_fetch(a, elems, 0);	/* fetch last element */
259*b8851fccSafresh1     if (SvIV(temp) == 0)		/* did last elem overflow? */
260*b8851fccSafresh1       {
261*b8851fccSafresh1       av_push(a, newSViv(1));		/* yes, so extend array by 1 */
262*b8851fccSafresh1       }
263*b8851fccSafresh1     XSRETURN(1);			/* return x */
264*b8851fccSafresh1 
265*b8851fccSafresh1 ##############################################################################
266*b8851fccSafresh1 
267*b8851fccSafresh1 SV *
268*b8851fccSafresh1 _zero(class)
269*b8851fccSafresh1   ALIAS:
270*b8851fccSafresh1     _one = 1
271*b8851fccSafresh1     _two = 2
272*b8851fccSafresh1     _ten = 10
273*b8851fccSafresh1   PREINIT:
274*b8851fccSafresh1     AV *av = newAV();
275*b8851fccSafresh1   CODE:
276*b8851fccSafresh1     av_push (av, newSViv( ix ));
277*b8851fccSafresh1     RETVAL = newRV_noinc((SV *)av);
278*b8851fccSafresh1   OUTPUT:
279*b8851fccSafresh1     RETVAL
280*b8851fccSafresh1 
281*b8851fccSafresh1 ##############################################################################
282*b8851fccSafresh1 
283*b8851fccSafresh1 void
284*b8851fccSafresh1 _is_even(class, x)
285*b8851fccSafresh1   SV*	x
286*b8851fccSafresh1   ALIAS:
287*b8851fccSafresh1     _is_odd = 1
288*b8851fccSafresh1   INIT:
289*b8851fccSafresh1     AV*	a;
290*b8851fccSafresh1     SV*	temp;
291*b8851fccSafresh1 
292*b8851fccSafresh1   CODE:
293*b8851fccSafresh1     a = (AV*)SvRV(x);		/* ref to aray, don't check ref */
294*b8851fccSafresh1     temp = *av_fetch(a, 0, 0);	/* fetch first element */
295*b8851fccSafresh1     ST(0) = sv_2mortal(boolSV((SvIV(temp) & 1) == ix));
296*b8851fccSafresh1 
297*b8851fccSafresh1 ##############################################################################
298*b8851fccSafresh1 
299*b8851fccSafresh1 void
300*b8851fccSafresh1 _is_zero(class, x)
301*b8851fccSafresh1   SV*	x
302*b8851fccSafresh1   ALIAS:
303*b8851fccSafresh1     _is_one = 1
304*b8851fccSafresh1     _is_two = 2
305*b8851fccSafresh1     _is_ten = 10
306*b8851fccSafresh1   INIT:
307*b8851fccSafresh1     AV*	a;
308*b8851fccSafresh1 
309*b8851fccSafresh1   CODE:
310*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
311*b8851fccSafresh1     if ( av_len(a) != 0)
312*b8851fccSafresh1       {
313*b8851fccSafresh1       ST(0) = &PL_sv_no;		/* len != 1, can't be '0' */
314*b8851fccSafresh1       }
315*b8851fccSafresh1     else
316*b8851fccSafresh1       {
317*b8851fccSafresh1       SV *const temp = *av_fetch(a, 0, 0);	/* fetch first element */
318*b8851fccSafresh1       ST(0) = boolSV(SvIV(temp) == ix);
319*b8851fccSafresh1       }
320*b8851fccSafresh1     XSRETURN(1);
321*b8851fccSafresh1 
322*b8851fccSafresh1 ##############################################################################
323*b8851fccSafresh1 
324*b8851fccSafresh1 void
325*b8851fccSafresh1 _len(class,x)
326*b8851fccSafresh1   SV*	x
327*b8851fccSafresh1   INIT:
328*b8851fccSafresh1     AV*	a;
329*b8851fccSafresh1     SV*	temp;
330*b8851fccSafresh1     IV	elems;
331*b8851fccSafresh1     STRLEN len;
332*b8851fccSafresh1 
333*b8851fccSafresh1   CODE:
334*b8851fccSafresh1     a = (AV*)SvRV(x);			/* ref to aray, don't check ref */
335*b8851fccSafresh1     elems = av_len(a);			/* number of elems in array */
336*b8851fccSafresh1     temp = *av_fetch(a, elems, 0);	/* fetch last element */
337*b8851fccSafresh1     SvPV(temp, len);			/* convert to string & store length */
338*b8851fccSafresh1     len += (IV) XS_BASE_LEN * elems;
339*b8851fccSafresh1     ST(0) = sv_2mortal(newSViv(len));
340*b8851fccSafresh1 
341*b8851fccSafresh1 ##############################################################################
342*b8851fccSafresh1 
343*b8851fccSafresh1 void
344*b8851fccSafresh1 _acmp(class, cx, cy);
345*b8851fccSafresh1   SV*  cx
346*b8851fccSafresh1   SV*  cy
347*b8851fccSafresh1   INIT:
348*b8851fccSafresh1     AV* array_x;
349*b8851fccSafresh1     AV* array_y;
350*b8851fccSafresh1     SSize_t elemsx, elemsy, diff;
351*b8851fccSafresh1     SV* tempx;
352*b8851fccSafresh1     SV* tempy;
353*b8851fccSafresh1     STRLEN lenx;
354*b8851fccSafresh1     STRLEN leny;
355*b8851fccSafresh1     NV diff_nv;
356*b8851fccSafresh1     SSize_t diff_str;
357*b8851fccSafresh1 
358*b8851fccSafresh1   CODE:
359*b8851fccSafresh1     array_x = (AV*)SvRV(cx);		/* ref to aray, don't check ref */
360*b8851fccSafresh1     array_y = (AV*)SvRV(cy);		/* ref to aray, don't check ref */
361*b8851fccSafresh1     elemsx =  av_len(array_x);
362*b8851fccSafresh1     elemsy =  av_len(array_y);
363*b8851fccSafresh1     diff = elemsx - elemsy;		/* difference */
364*b8851fccSafresh1 
365*b8851fccSafresh1     if (diff > 0)
366*b8851fccSafresh1       {
367*b8851fccSafresh1       RETURN_MORTAL_INT(1);		/* len differs: X > Y */
368*b8851fccSafresh1       }
369*b8851fccSafresh1     else if (diff < 0)
370*b8851fccSafresh1       {
371*b8851fccSafresh1       RETURN_MORTAL_INT(-1);		/* len differs: X < Y */
372*b8851fccSafresh1       }
373*b8851fccSafresh1     /* both have same number of elements, so check length of last element
374*b8851fccSafresh1        and see if it differs */
375*b8851fccSafresh1     tempx = *av_fetch(array_x, elemsx, 0);	/* fetch last element */
376*b8851fccSafresh1     tempy = *av_fetch(array_y, elemsx, 0);	/* fetch last element */
377*b8851fccSafresh1     SvPV(tempx, lenx);			/* convert to string & store length */
378*b8851fccSafresh1     SvPV(tempy, leny);			/* convert to string & store length */
379*b8851fccSafresh1     diff_str = (SSize_t)lenx - (SSize_t)leny;
380*b8851fccSafresh1     if (diff_str > 0)
381*b8851fccSafresh1       {
382*b8851fccSafresh1       RETURN_MORTAL_INT(1);		/* same len, but first elems differs in len */
383*b8851fccSafresh1       }
384*b8851fccSafresh1     if (diff_str < 0)
385*b8851fccSafresh1       {
386*b8851fccSafresh1       RETURN_MORTAL_INT(-1);		/* same len, but first elems differs in len */
387*b8851fccSafresh1       }
388*b8851fccSafresh1     /* same number of digits, so need to make a full compare */
389*b8851fccSafresh1     diff_nv = 0;
390*b8851fccSafresh1     while (elemsx >= 0)
391*b8851fccSafresh1       {
392*b8851fccSafresh1       tempx = *av_fetch(array_x, elemsx, 0);	/* fetch curr x element */
393*b8851fccSafresh1       tempy = *av_fetch(array_y, elemsx, 0);	/* fetch curr y element */
394*b8851fccSafresh1       diff_nv = SvNV(tempx) - SvNV(tempy);
395*b8851fccSafresh1       if (diff_nv != 0)
396*b8851fccSafresh1         {
397*b8851fccSafresh1         break;
398*b8851fccSafresh1         }
399*b8851fccSafresh1       elemsx--;
400*b8851fccSafresh1       }
401*b8851fccSafresh1     if (diff_nv > 0)
402*b8851fccSafresh1       {
403*b8851fccSafresh1       RETURN_MORTAL_INT(1);
404*b8851fccSafresh1       }
405*b8851fccSafresh1     if (diff_nv < 0)
406*b8851fccSafresh1       {
407*b8851fccSafresh1       RETURN_MORTAL_INT(-1);
408*b8851fccSafresh1       }
409*b8851fccSafresh1     ST(0) = sv_2mortal(newSViv(0));		/* X and Y are equal */
410