17 #ifdef BIGDECIMAL_DEBUG
18 # define BIGDECIMAL_ENABLE_VPRINT 1
22 #ifndef BIGDECIMAL_DEBUG
63 #define ENTER(n) volatile VALUE RB_UNUSED_VAR(vStack[n]);int iStack=0
64 #define PUSH(x) vStack[iStack++] = (VALUE)(x);
65 #define SAVE(p) PUSH(p->obj);
66 #define GUARD_OBJ(p,y) {p=y;SAVE(p);}
68 #define BASE_FIG RMPD_COMPONENT_FIGURES
69 #define BASE RMPD_BASE
71 #define HALF_BASE (BASE/2)
72 #define BASE1 (BASE/10)
75 #define DBLE_FIG (DBL_DIG+1)
78 #ifndef RBIGNUM_ZERO_P
79 # define RBIGNUM_ZERO_P(x) (RBIGNUM_LEN(x) == 0 || \
80 (RBIGNUM_DIGITS(x)[0] == 0 && \
81 (RBIGNUM_LEN(x) == 1 || bigzero_p(x))))
96 #ifndef RRATIONAL_ZERO_P
97 # define RRATIONAL_ZERO_P(x) (FIXNUM_P(RRATIONAL(x)->num) && \
98 FIX2LONG(RRATIONAL(x)->num) == 0)
101 #ifndef RRATIONAL_NEGATIVE_P
102 # define RRATIONAL_NEGATIVE_P(x) RTEST(rb_funcall((x), '<', 1, INT2FIX(0)))
105 #ifndef DECIMAL_SIZE_OF_BITS
106 #define DECIMAL_SIZE_OF_BITS(n) (((n) * 3010 + 9998) / 9999)
111 # define RB_OBJ_CLASSNAME(obj) rb_obj_class(obj)
112 # define RB_OBJ_STRING(obj) (obj)
114 # define PRIsVALUE "s"
115 # define RB_OBJ_CLASSNAME(obj) rb_obj_classname(obj)
116 # define RB_OBJ_STRING(obj) StringValueCStr(obj)
122 #define DoSomeOne(x,y,f) rb_num_coerce_bin(x,y,f)
160 const Real *pv = ptr;
161 return pv ? (
sizeof(*pv) + pv->
MaxPrec *
sizeof(
BDIGIT)) : 0;
220 if (prec < 0)
goto unable_to_coerce_without_prec;
221 if (prec >
DBL_DIG+1)
goto SomeOneMayDoIt;
225 if (prec < 0)
goto unable_to_coerce_without_prec;
227 if (orig ==
Qundef ? (orig = v, 1) : orig != v) {
230 if (pv ==
NULL)
goto SomeOneMayDoIt;
255 #ifdef ENABLE_NUMERIC_STRING
276 unable_to_coerce_without_prec:
279 "%"PRIsVALUE" can't be coerced into BigDecimal without a precision",
397 while((*pch)!=(
unsigned char)
'\0' && (ch=*pch++)!=(
unsigned char)
':') {
401 m = m*10 + (
unsigned long)(ch-
'0');
410 static unsigned short
494 f = (
unsigned long)
FIX2INT(which);
506 (fo&(~VP_EXCEPTION_INFINITY))));
511 (fo&(~VP_EXCEPTION_NaN))));
516 (fo&(~VP_EXCEPTION_UNDERFLOW))));
521 (fo&(~VP_EXCEPTION_ZERODIVIDE))));
547 if(mx < b->Prec) mx = b->
Prec;
588 #define VpAllocReal(prec) (Real *)VpMemAlloc(offsetof(Real, frac) + (prec) * sizeof(BDIGIT))
589 #define VpReallocReal(ptr, prec) (Real *)VpMemRealloc((ptr), offsetof(Real, frac) + (prec) * sizeof(BDIGIT))
712 if (
VpVtoD(&d, &e, p) != 1)
724 if (
errno == ERANGE) {
725 if (d == 0.0)
goto underflow;
726 if (fabs(d) >= HUGE_VAL)
goto overflow;
752 ssize_t sign, power, denomi_power;
753 VALUE a, digits, numerator;
768 if (denomi_power < 0) {
874 if (mx == (
size_t)-1L) {
928 if (mx == (
size_t)-1L) {
1008 if(e==0)
return Qtrue;
1012 if(e>=0)
return Qtrue;
1016 if(e> 0)
return Qtrue;
1020 if(e<=0)
return Qtrue;
1024 if(e< 0)
return Qtrue;
1031 rb_bug(
"Undefined operation in BigDecimalCmp()");
1249 if(r!=(
VALUE)0)
return r;
1423 if(f!=(
VALUE)0)
return f;
1487 mx = av->
Prec + bv->Prec + 2;
1488 if(mx <= cv->MaxPrec) mx = cv->MaxPrec+1;
1642 switch (
rb_scan_args(argc, argv,
"02", &vLoc, &vRound)) {
1767 #ifdef BIGDECIMAL_DEBUG
1768 VPrint(stderr,
"floor: c=%\n", c);
1876 else if (*psz ==
'+') {
1880 while ((ch = *psz++) != 0) {
1885 if (ch ==
'F' || ch ==
'f') {
1890 mc = mc * 10 + ch -
'0';
1904 nc += (nc + mc - 1) / mc + 1;
1959 size_t len =
strlen(psz1+1);
1965 if(psz1[0]==
'N') s=0;
2013 sprintf(psz,
"#<BigDecimal:%"PRIxVALUE",'",
self);
2025 #define BigMath_exp(x, n) BigMath_s_exp(rb_mBigMath, (x), (n))
2026 #define BigMath_log(x, n) BigMath_s_log(rb_mBigMath, (x), (n))
2049 #define is_positive(x) (!is_negative(x))
2119 VALUE log_x, multiplied, y;
2168 switch (
TYPE(vexp)) {
2177 if (d ==
round(d)) {
2178 vexp = LL2NUM((LONG_LONG)
round(d));
2212 "wrong argument type %"PRIsVALUE" (expected scalar Numeric)",
2293 "a non-integral exponent for a negative base");
2351 if (ma < 0) ma = -ma;
2352 if (ma == 0) ma = 1;
2432 if (
self != other) {
2445 if (
rb_scan_args(argc, argv,
"11", &iniValue, &nFig) == 1) {
2452 switch (
TYPE(iniValue)) {
2472 "can't omit precision for a %"PRIsVALUE".",
2518 if(nFig==
Qnil)
return nCur;
2677 infinite =
isinf(flo);
2679 if (!infinite && !nan) {
2710 else if (vx ==
NULL) {
2732 ssize_t m = n -
vabs(ey - ed);
2818 if (zero || negative)
break;
2826 infinite =
isinf(flo);
2828 if (!zero && !negative && !infinite && !nan) {
2836 if (zero || negative)
break;
2842 "Complex argument for BigMath.log");
2847 if (infinite && !negative) {
2861 else if (zero || negative) {
2863 "Zero or negative argument for log");
2865 else if (vx ==
NULL) {
2876 if (expo < 0 || expo >= 3) {
2895 ssize_t m = n -
vabs(ey - ed);
2913 VALUE log10, vexpo, dy;
3259 #ifdef BIGDECIMAL_DEBUG
3260 static int gfDebug = 1;
3262 static int gfCheckVal = 1;
3272 #define MemCmp(x,y,z) memcmp(x,y,z)
3273 #define StrCmp(x,y) strcmp(x,y)
3281 static void VpFormatSt(
char *psz,
size_t fFmt);
3284 #ifdef BIGDECIMAL_DEBUG
3285 static int gnAlloc=0;
3296 #ifdef BIGDECIMAL_DEBUG
3317 #ifdef BIGDECIMAL_DEBUG
3320 printf(
" *************** All memories allocated freed ****************");
3324 printf(
" ??????????? Too many memory free calls(%d) ?????????????\n",gnAlloc);
3335 #define rmpd_set_thread_local_exception_mode(mode) \
3336 rb_thread_local_aset( \
3337 rb_thread_current(), \
3338 id_BigDecimal_exception_mode, \
3339 INT2FIX((int)(mode)) \
3342 static unsigned short
3355 return (
unsigned short)
FIX2UINT(vmode);
3368 #define rmpd_set_thread_local_precision_limit(limit) \
3369 rb_thread_local_aset( \
3370 rb_thread_current(), \
3371 id_BigDecimal_precision_limit, \
3374 #define RMPD_PRECISION_LIMIT_DEFAULT ((size_t)0)
3385 if (
NIL_P(vlimit)) {
3405 #define rmpd_set_thread_local_rounding_mode(mode) \
3406 rb_thread_local_aset( \
3407 rb_thread_current(), \
3408 id_BigDecimal_rounding_mode, \
3409 INT2FIX((int)(mode)) \
3425 return (
unsigned short)
FIX2INT(vmode);
3496 static double fNaN = 0.0;
3497 if(fNaN==0.0) fNaN =
Zero()/
Zero();
3504 static double fInf = 0.0;
3505 if(fInf==0.0) fInf =
One()/
Zero();
3512 static double fInf = 0.0;
3513 if(fInf==0.0) fInf = -(
One()/
Zero());
3520 static double nzero = 1000.0;
3527 VpIsNegDoubleZero(
double v)
3530 return MemCmp(&v,&z,
sizeof(v))==0;
3543 if (always || (exception_mode & f)) {
3689 if((
size_t)ex > vp->
Prec) {
3725 VpConstOne =
VpAlloc(1UL,
"1");
3728 #ifdef BIGDECIMAL_DEBUG
3732 #ifdef BIGDECIMAL_DEBUG
3734 printf(
"VpInit: BaseVal = %lu\n", BaseVal);
3735 printf(
" BASE = %lu\n",
BASE);
3736 printf(
" HALF_BASE = %lu\n",
HALF_BASE);
3737 printf(
" BASE1 = %lu\n",
BASE1);
3738 printf(
" BASE_FIG = %u\n",
BASE_FIG);
3739 printf(
" DBLE_FIG = %d\n",
DBLE_FIG);
3763 if(mb<eb)
goto overflow;
3768 if(mb>eb)
goto underflow;
3799 size_t i, ni, ipn, ipf, nf, ipe,
ne, nalloc;
3808 while (
ISSPACE(*szVal)) szVal++;
3809 if (*szVal !=
'#') {
3838 while ((psz[i]=szVal[ipn]) != 0) {
3840 if (psz[i] ==
'_') {
3841 if (ni > 0) { ipn++;
continue; }
3878 if (szVal[i] ==
'-') { sign=-1; ++
i; }
3879 else if (szVal[i] ==
'+') ++
i;
3882 while ((v = szVal[i]) != 0) {
3893 if (szVal[i] ==
'.') {
3896 while ((v = szVal[i]) != 0) {
3912 if ((v ==
'-') || (v ==
'+')) ++
i;
3913 while ((v=szVal[i]) != 0) {
3925 if (mx <= 0) mx = 1;
3926 nalloc =
Max(nalloc, mx);
3932 VpCtoV(vp, &szVal[ipn], ni, &szVal[ipf], nf, &szVal[ipe], ne);
3995 Real *a_ptr, *b_ptr;
3996 size_t n, na, nb,
i;
3999 #ifdef BIGDECIMAL_DEBUG
4001 VPrint(stdout,
"VpAddSub(enter) a=% \n", a);
4002 VPrint(stdout,
" b=% \n", b);
4003 printf(
" operation=%d\n", operation);
4007 if(!
VpIsDefOP(c,a,b,(operation>0)?1:2))
return 0;
4032 if(operation < 0) sw = -1;
4050 for(i=0;i < n; ++
i) {
4055 }
else if(a->
frac[i] < b->
frac[i]) {
4065 }
else if(na < nb) {
4103 #ifdef BIGDECIMAL_DEBUG
4105 VPrint(stdout,
"VpAddSub(result) c=% \n", c);
4106 VPrint(stdout,
" a=% \n", a);
4107 VPrint(stdout,
" b=% \n", b);
4108 printf(
" operation=%d\n", operation);
4127 size_t b_pos, b_pos_with_word_shift;
4129 BDIGIT av, bv, carry, mrv;
4131 #ifdef BIGDECIMAL_DEBUG
4133 VPrint(stdout,
"VpAddAbs called: a = %\n", a);
4134 VPrint(stdout,
" b = %\n", b);
4138 word_shift =
VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv);
4142 if(word_shift==(
size_t)-1L)
return 0;
4143 if(b_pos == (
size_t)-1L)
goto Assign_a;
4149 while(b_pos + word_shift > a_pos) {
4161 b_pos_with_word_shift = b_pos + word_shift;
4162 while(a_pos > b_pos_with_word_shift) {
4163 c->
frac[--c_pos] = a->
frac[--a_pos];
4170 c->
frac[--c_pos] = a->
frac[--a_pos] + b->
frac[--b_pos] + carry;
4182 c->
frac[--c_pos] = a->
frac[--a_pos] + carry;
4190 if(c_pos) c->
frac[c_pos - 1] += carry;
4199 #ifdef BIGDECIMAL_DEBUG
4201 VPrint(stdout,
"VpAddAbs exit: c=% \n", c);
4218 size_t b_pos, b_pos_with_word_shift;
4220 BDIGIT av, bv, borrow, mrv;
4222 #ifdef BIGDECIMAL_DEBUG
4224 VPrint(stdout,
"VpSubAbs called: a = %\n", a);
4225 VPrint(stdout,
" b = %\n", b);
4229 word_shift =
VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv);
4233 if(word_shift==(
size_t)-1L)
return 0;
4234 if(b_pos == (
size_t)-1L)
goto Assign_a;
4247 if(b_pos + word_shift > a_pos) {
4248 while(b_pos + word_shift > a_pos) {
4262 b_pos_with_word_shift = b_pos + word_shift;
4263 while(a_pos > b_pos_with_word_shift) {
4264 c->
frac[--c_pos] = a->
frac[--a_pos];
4271 if(a->
frac[--a_pos] < b->
frac[--b_pos] + borrow) {
4275 c->
frac[c_pos] = a->
frac[a_pos] - b->
frac[b_pos] - borrow;
4284 if(a->
frac[--a_pos] < borrow) {
4288 c->
frac[c_pos] = a->
frac[a_pos] - borrow;
4292 if(c_pos) c->
frac[c_pos - 1] -= borrow;
4300 #ifdef BIGDECIMAL_DEBUG
4302 VPrint(stdout,
"VpSubAbs exit: c=% \n", c);
4325 size_t left_word, right_word, word_shift;
4329 left_word = b->
Prec + word_shift;
4330 right_word =
Max((a->
Prec),left_word);
4335 if(right_word > left_word) {
4345 *c_pos = right_word = left_word + 1;
4354 *av = a->
frac[*a_pos];
4370 if(c->
MaxPrec >=(word_shift + 1)) {
4371 *b_pos = c->
MaxPrec - word_shift - 1;
4372 *bv = b->
frac[*b_pos];
4394 *c_pos = right_word + 1;
4420 size_t MxIndA, MxIndB, MxIndAB, MxIndC;
4421 size_t ind_c,
i, ii, nc;
4422 size_t ind_as, ind_ae, ind_bs;
4427 #ifdef BIGDECIMAL_DEBUG
4429 VPrint(stdout,
"VpMult(Enter): a=% \n", a);
4430 VPrint(stdout,
" b=% \n", b);
4457 MxIndA = a->
Prec - 1;
4458 MxIndB = b->
Prec - 1;
4462 if(MxIndC < MxIndAB) {
4477 nc = ind_c = MxIndAB;
4478 memset(c->
frac, 0, (nc + 1) *
sizeof(
BDIGIT));
4480 for(nc = 0; nc < MxIndAB; ++nc, --ind_c) {
4482 ind_as = MxIndA - nc;
4485 }
else if(nc <= MxIndA) {
4486 ind_as = MxIndA - nc;
4487 ind_ae = MxIndA -(nc - MxIndB);
4489 }
else if(nc > MxIndA) {
4491 ind_ae = MxIndAB - nc - 1;
4492 ind_bs = MxIndB -(nc - MxIndA);
4495 for(i = ind_as; i <= ind_ae; ++
i) {
4508 c->
frac[ii] += carry;
4529 #ifdef BIGDECIMAL_DEBUG
4531 VPrint(stdout,
"VpMult(c=a*b): c=% \n", c);
4532 VPrint(stdout,
" a=% \n", a);
4533 VPrint(stdout,
" b=% \n", b);
4545 size_t word_a, word_b, word_c, word_r;
4546 size_t i, n, ind_a, ind_b, ind_c, ind_r;
4549 BDIGIT borrow, borrow1, borrow2;
4552 #ifdef BIGDECIMAL_DEBUG
4554 VPrint(stdout,
" VpDivd(c=a/b) a=% \n", a);
4555 VPrint(stdout,
" b=% \n", b);
4590 if(word_a >= word_r)
goto space_error;
4593 while(ind_r <= word_a) {
4594 r->
frac[ind_r] = a->
frac[ind_r - 1];
4598 while(ind_r < word_r) r->
frac[ind_r++] = 0;
4599 while(ind_c < word_c) c->
frac[ind_c++] = 0;
4602 b1 = b1p1 = b->
frac[0];
4604 b1b2p1 = b1b2 = b1p1 *
BASE;
4607 b1b2p1 = b1b2 = b1 *
BASE + b->
frac[1];
4608 if(b->
Prec > 2) ++b1b2p1;
4614 nLoop =
Min(word_c,ind_c);
4616 while(ind_c < nLoop) {
4617 if(r->
frac[ind_c] == 0) {
4626 while(ind_b < word_b) {
4627 if(r->
frac[ind_a] < b->
frac[ind_b])
goto div_b1p1;
4628 if(r->
frac[ind_a] > b->
frac[ind_b])
break;
4636 ind_b = b->
Prec - 1;
4637 ind_r = ind_c + ind_b;
4638 if(ind_r >= word_r)
goto space_error;
4640 for(i = 0; i <= n; ++
i) {
4641 if(r->
frac[ind_r] < b->
frac[ind_b] + borrow) {
4645 r->
frac[ind_r] = r->
frac[ind_r] - b->
frac[ind_b] - borrow;
4656 if(r1r2 >= b1b2p1) {
4659 ind_r = b->
Prec + ind_c - 1;
4664 if(ind_c + 1 >= word_c)
goto out_side;
4667 ind_r = b->
Prec + ind_c;
4670 borrow1 = borrow2 = 0;
4672 if(ind_r >= word_r)
goto space_error;
4674 for(i = 0; i <= n; ++
i) {
4676 qb = q * b->
frac[ind_b];
4677 if (qb <
BASE) borrow1 = 0;
4682 if(r->
frac[ind_r] < qb) {
4684 borrow2 = borrow2 + borrow1 + 1;
4690 if(r->
frac[ind_r - 1] < borrow2) {
4691 r->
frac[ind_r - 1] += (
BASE - borrow2);
4694 r->
frac[ind_r - 1] -= borrow2;
4702 r->
frac[ind_r] -= borrow2;
4728 #ifdef BIGDECIMAL_DEBUG
4730 printf(
" word_a=%lu\n", word_a);
4731 printf(
" word_b=%lu\n", word_b);
4732 printf(
" word_c=%lu\n", word_c);
4733 printf(
" word_r=%lu\n", word_r);
4734 printf(
" ind_r =%lu\n", ind_r);
4737 rb_bug(
"ERROR(VpDivd): space for remainder too small.");
4740 #ifdef BIGDECIMAL_DEBUG
4742 VPrint(stdout,
" VpDivd(c=a/b), c=% \n", c);
4743 VPrint(stdout,
" r=% \n", r);
4763 if (a->
frac[ind_a]) {
4764 a->
Prec = ind_a + 1;
4766 while (a->
frac[i] == 0) ++
i;
4803 else if(e<0)
return -1;
4846 if((a->
frac[ind]) >(b->
frac[ind])) {
4850 if((a->
frac[ind]) <(b->
frac[ind])) {
4863 if (val> 1) val = 1;
4864 else if(val<-1) val = -1;
4866 #ifdef BIGDECIMAL_DEBUG
4868 VPrint(stdout,
" VpComp a=%\n", a);
4869 VPrint(stdout,
" b=%\n", b);
4870 printf(
" ans=%d\n", val);
4876 #ifdef BIGDECIMAL_ENABLE_VPRINT
4888 VPrint(
FILE *fp,
const char *cntl_chr,
Real *a)
4890 size_t i, j, nc, nd, ZeroSup;
4916 while(*(cntl_chr + j)) {
4917 if((*(cntl_chr + j) ==
'%') &&(*(cntl_chr + j + 1) !=
'%')) {
4924 nc += fprintf(fp,
"0.");
4925 for(i=0; i < a->
Prec; ++
i) {
4930 if((!ZeroSup) || nn) {
4931 nc += fprintf(fp,
"%lu", (
unsigned long)nn);
4939 nc += fprintf(fp,
" ");
4947 nc += fprintf(fp,
"0.0");
4951 if(*(cntl_chr + j) ==
'\\') {
4952 switch(*(cntl_chr + j + 1)) {
4966 fprintf(fp,
"%c", *(cntl_chr + j));
4970 fprintf(fp,
"%c", *(cntl_chr + j));
4971 if(*(cntl_chr + j) ==
'%') ++j;
4983 size_t ie,
i, nf = 0;
4989 for(i = 0; i < ie; ++
i) {
4992 if(
ISSPACE(ch) || ch==
'-' || ch==
'+')
continue;
4993 if(ch ==
'.') { nf = 0;
continue;}
4994 if(ch ==
'E')
break;
4997 memmove(psz + i + 1, psz + i, ie - i + 1);
5015 while ((a->
frac[0] / n) == 0) {
5025 size_t i, n, ZeroSup;
5045 for (i=0; i < n; ++
i) {
5050 if((!ZeroSup) || nn) {
5051 sprintf(psz,
"%lu", (
unsigned long)nn);
5061 while(psz[-1]==
'0') *(--psz) = 0;
5064 else sprintf(psz,
"-0");
5080 }
else if(fPlus==2) {
5092 if(fPlus==1) sprintf(psz,
" 0.0");
5093 else if(fPlus==2) sprintf(psz,
"+0.0");
5094 else sprintf(psz,
"0.0");
5095 }
else sprintf(psz,
"-0.0");
5105 size_t i, n, ZeroSup;
5115 else if (fPlus == 1) *psz++ =
' ';
5116 else if (fPlus == 2) *psz++ =
'+';
5121 for(i=0;i < n;++
i) {
5126 if((!ZeroSup) || nn) {
5127 sprintf(psz,
"%lu", (
unsigned long)nn);
5138 while(a->
frac[0] / shift == 0) {
5142 while(psz[-1]==
'0') *(--psz) = 0;
5159 else if(fPlus==1) *psz++ =
' ';
5160 else if(fPlus==2) *psz++ =
'+';
5165 *psz++ =
'0';*psz++ =
'.';
5173 for(i=0;i < n;++
i) {
5175 if(i==0 && ex >= 0) {
5176 sprintf(psz,
"%lu", (
unsigned long)a->
frac[i]);
5183 *psz++ = (char)(nn +
'0');
5188 if(ex == 0) *psz++ =
'.';
5192 while(m/=10) *psz++ =
'0';
5193 if(ex == 0) *psz++ =
'.';
5196 while(psz[-1]==
'0') *(--psz) = 0;
5197 if(psz[-1]==
'.') sprintf(psz,
"0");
5215 size_t i, j, ind_a, ma, mi, me;
5217 int sign, signe, exponent_overflow;
5225 exponent_overflow = 0;
5229 if (exp_chr[0] ==
'-') {
5234 else if (exp_chr[0] ==
'+') {
5240 e = e * 10 + exp_chr[
i] -
'0';
5242 exponent_overflow = 1;
5254 if(int_chr[0] ==
'-') {
5258 }
else if(int_chr[0] ==
'+') {
5267 if (e > 0) signe = 1;
5286 if (exponent_overflow) {
5288 for ( ; i < mi &&
zero; i++) zero = int_chr[i] ==
'0';
5289 for (i = 0; i < nf &&
zero; i++) zero = frac[i] ==
'0';
5290 if (!zero && signe > 0) {
5301 while ((j <
BASE_FIG) && (i < mi)) {
5302 a->
frac[ind_a] = a->
frac[ind_a] * 10 + int_chr[
i] -
'0';
5308 if (ind_a >= ma)
goto over_flow;
5317 while((j <
BASE_FIG) && (i < nf)) {
5318 a->
frac[ind_a] = a->
frac[ind_a] * 10 + frac[
i] -
'0';
5324 if(ind_a >= ma)
goto over_flow;
5331 rb_warn(
"Conversion from String to BigDecimal overflow (last few digits discarded).");
5334 if (ind_a >= ma) ind_a = ma - 1;
5336 a->
frac[ind_a] = a->
frac[ind_a] * 10;
5339 a->
Prec = ind_a + 1;
5364 size_t ind_m, mm, fig;
5405 div /= (double)
BASE;
5406 *d = *d + (double)m->
frac[ind_m++] * div;
5412 #ifdef BIGDECIMAL_DEBUG
5414 VPrint(stdout,
" VpVtoD: m=%\n", m);
5415 printf(
" d=%e * 10 **%ld\n", *d, *e);
5416 printf(
" DBLE_FIG = %d\n",
DBLE_FIG);
5447 val =(d > 0.) ? d :(-d);
5451 val /= (double)
BASE;
5455 val2 = 1.0 /(double)
BASE;
5457 val *= (double)
BASE;
5465 for(ind_m = 0;val > 0.0 && ind_m < mm;ind_m++) {
5466 val *= (double)
BASE;
5471 if(ind_m >= mm) ind_m = mm - 1;
5473 m->
Prec = ind_m + 1;
5480 #ifdef BIGDECIMAL_DEBUG
5482 printf(
"VpDtoV d=%30.30e\n", d);
5483 VPrint(stdout,
" m=%\n", m);
5497 size_t val, v1, v2,
v;
5509 val =(size_t)(-ival);
5527 val = val - v2 * v1;
5536 m->
Prec = ind_m - 1;
5542 #ifdef BIGDECIMAL_DEBUG
5544 printf(
" VpItoV i=%d\n", ival);
5545 VPrint(stdout,
" m=%\n", m);
5598 prec = x->
exponent - (ssize_t)y_prec;
5607 if (e - n * 2 != 0) {
5628 if(f->
exponent <= prec)
goto converge;
5631 #ifdef BIGDECIMAL_DEBUG
5633 printf(
"ERROR(VpSqrt): did not converge within %ld iterations.\n",
5641 #ifdef BIGDECIMAL_DEBUG
5645 printf(
"VpSqrt: iterations = %"PRIdSIZE"\n", nr);
5646 VPrint(stdout,
" y =% \n", y);
5647 VPrint(stdout,
" x =% \n", x);
5648 VPrint(stdout,
" x-y*y = % \n", f);
5675 int fracf, fracf_1further;
5676 ssize_t n,
i,ix,ioffset, exptoadd;
5693 if ((
size_t)ix >= y->
Prec)
return 0;
5696 ioffset = nf - ix*(ssize_t)
BASE_FIG;
5697 n = (ssize_t)
BASE_FIG - ioffset - 1;
5698 for (shifter=1,i=0; i<n; ++
i) shifter *= 10;
5722 fracf = (v % (shifter * 10) > 0);
5723 fracf_1further = ((v % shifter) > 0);
5739 for (i=ix+1; (size_t)i < y->Prec; i++) {
5741 fracf = fracf_1further = 1;
5764 if (v > 5 || (v == 5 && fracf_1further)) ++
div;
5775 if (fracf_1further) {
5785 if (ix && (y->
frac[ix-1] % 2)) ++
div;
5794 for (i=0; i<=n; ++
i) div *= 10;
5813 for(i=0;i<exptoadd;i++) {
5834 while ((v /= 10) != 0) nf--;
5843 if (
VpAsgn(y, x, 10) <= 1)
return 0;
5851 if(!
VpNmlz(c))
return -1;
5853 if(!ixDigit) ixDigit = c->
Prec-1;
5871 switch (rounding_mode) {
5896 else if (v == 5 && vPrev % 2) f = 1;
5913 if (!ind_m) ind_m = m->
Prec;
5916 while (carry > 0 && (ind_m--)) {
5917 m->
frac[ind_m] += carry;
5936 size_t my, ind_y, ind_x;
5969 #ifdef BIGDECIMAL_DEBUG
5971 VPrint(stdout,
"VpFrac y=%\n", y);
5972 VPrint(stdout,
" x=%\n", x);
5997 if(sign<0) sign = (n%2)?(-1):(1);
6000 if(sign<0) sign = (n%2)?(-1):(1);
6026 if((n % 2) == 0)
goto Exit;
6051 while (ss = s, (s += s) <= (
size_t)n) {
6060 VpDivd(w1, w2, VpConstOne, y);
6065 #ifdef BIGDECIMAL_DEBUG
6067 VPrint(stdout,
"VpPower y=%\n", y);
6068 VPrint(stdout,
"VpPower x=%\n", x);
6069 printf(
" n=%d\n", n);
6077 #ifdef BIGDECIMAL_DEBUG
6079 VpVarCheck(
Real * v)
6092 printf(
"ERROR(VpVarCheck): Illegal Max. Precision(=%"PRIuSIZE")\n",
6097 printf(
"ERROR(VpVarCheck): Illegal Precision(=%"PRIuSIZE")\n", v->
Prec);
6101 for(i = 0; i < v->
Prec; ++
i) {
6103 printf(
"ERROR(VpVarCheck): Illegal fraction\n");
6107 printf(
" BASE =%lu\n",
BASE);
VP_EXPORT size_t VpDivd(Real *c, Real *r, Real *a, Real *b)
VP_EXPORT void VpToString(Real *a, char *psz, size_t fFmt, int fPlus)
VP_EXPORT double VpGetDoublePosInf(void)
static VALUE BigDecimal_coerce(VALUE self, VALUE other)
#define RMPD_EXCEPTION_MODE_DEFAULT
static BDIGIT VpAddAbs(Real *a, Real *b, Real *c)
static size_t VpSetPTR(Real *a, Real *b, Real *c, size_t *a_pos, size_t *b_pos, size_t *c_pos, BDIGIT *av, BDIGIT *bv)
static ID id_BigDecimal_rounding_mode
static VALUE BigDecimal_lt(VALUE self, VALUE r)
static VALUE BigDecimal_sign(VALUE self)
VP_EXPORT int VpException(unsigned short f, const char *str, int always)
void rb_bug(const char *fmt,...)
static VALUE BigDecimal_power(int argc, VALUE *argv, VALUE self)
static void VpFormatSt(char *psz, size_t fFmt)
static VALUE BigDecimal_load(VALUE self, VALUE str)
size_t strlen(const char *)
static VALUE BigDecimal_to_r(VALUE self)
VALUE rb_Rational(VALUE, VALUE)
static VALUE BigDecimal_abs(VALUE self)
static int is_zero(VALUE x)
static Real * GetVpValue(VALUE v, int must)
#define BigMath_exp(x, n)
void rb_define_singleton_method(VALUE obj, const char *name, VALUE(*func)(ANYARGS), int argc)
Defines a singleton method for obj.
if(dispIdMember==DISPID_VALUE)
static VALUE BigDecimal_truncate(int argc, VALUE *argv, VALUE self)
VP_EXPORT int VpIsRoundMode(unsigned short n)
static int bigzero_p(VALUE x)
#define VP_SIGN_POSITIVE_FINITE
static unsigned short VpGetException(void)
#define VP_SIGN_NEGATIVE_ZERO
static VALUE rb_float_new(double d)
#define TypedData_Wrap_Struct(klass, data_type, sval)
static VALUE BigDecimal_eq(VALUE self, VALUE r)
static VALUE BigDecimal_DoDivmod(VALUE self, VALUE r, Real **div, Real **mod)
static VALUE ToValue(Real *p)
static VALUE BigMath_s_log(VALUE, VALUE, VALUE)
static VALUE BigDecimal_dump(int argc, VALUE *argv, VALUE self)
VALUE rb_ary_push(VALUE ary, VALUE item)
static VALUE BigDecimal_limit(int argc, VALUE *argv, VALUE self)
static VALUE BigDecimal_round(int argc, VALUE *argv, VALUE self)
static int VpRdup(Real *m, size_t ind_m)
RUBY_EXTERN VALUE rb_eMathDomainError
st_index_t rb_memhash(const void *ptr, long len)
static VALUE BigMath_s_exp(VALUE, VALUE, VALUE)
VP_EXPORT unsigned short VpGetRoundMode(void)
VP_EXPORT unsigned short VpSetRoundMode(unsigned short n)
VALUE rb_funcall(VALUE, ID, int,...)
Calls a method.
static VALUE BigDecimal_mod(VALUE self, VALUE r)
VP_EXPORT void VpDtoV(Real *m, double d)
VALUE rb_protect(VALUE(*proc)(VALUE), VALUE data, int *state)
static void cannot_be_coerced_into_BigDecimal(VALUE exc_class, VALUE v)
void rb_raise(VALUE exc, const char *fmt,...)
VP_EXPORT void VpFrac(Real *y, Real *x)
#define VP_SIGN_POSITIVE_ZERO
static VALUE BigDecimal_sqrt(VALUE self, VALUE nFig)
void rb_define_alloc_func(VALUE, rb_alloc_func_t)
static void VpSetException(unsigned short f)
#define VP_ROUND_HALF_DOWN
#define VP_SIGN_POSITIVE_INFINITE
#define VP_EXCEPTION_OVERFLOW
#define RRATIONAL_NEGATIVE_P(x)
static VALUE BigDecimal_prec(VALUE self)
static VALUE BigDecimal_comp(VALUE self, VALUE r)
VP_EXPORT Real * VpCreateRbObject(size_t mx, const char *str)
VP_EXPORT int VpVtoD(double *d, SIGNED_VALUE *e, Real *m)
void rb_define_global_function(const char *name, VALUE(*func)(ANYARGS), int argc)
Defines a global function.
static int is_one(VALUE x)
static VALUE BigDecimal_divremain(VALUE self, VALUE r, Real **dv, Real **rv)
static VALUE BigDecimal_fix(VALUE self)
static VALUE BigDecimal_ceil(int argc, VALUE *argv, VALUE self)
VALUE rb_str_tmp_new(long)
static void BigDecimal_delete(void *pv)
RUBY_EXTERN VALUE rb_eZeroDivError
#define DoSomeOne(x, y, f)
VP_EXPORT int VpComp(Real *a, Real *b)
static VALUE BigDecimal_mult2(VALUE self, VALUE b, VALUE n)
static size_t GetAddSubPrec(Real *a, Real *b)
static const unsigned char dv[]
static Real * VpCopy(Real *pv, Real const *const x)
VP_EXPORT int VpMidRound(Real *y, unsigned short f, ssize_t nf)
VP_EXPORT int VpCtoV(Real *a, const char *int_chr, size_t ni, const char *frac, size_t nf, const char *exp_chr, size_t ne)
VP_EXPORT int VpActiveRound(Real *y, Real *x, unsigned short f, ssize_t nf)
RUBY_EXTERN void * memmove(void *, const void *, size_t)
#define VP_EXCEPTION_INFINITY
static VALUE BigDecimal_div2(int, VALUE *, VALUE)
VALUE rb_thread_local_aref(VALUE, ID)
VP_EXPORT Real * VpNewRbClass(size_t mx, const char *str, VALUE klass)
void rb_exc_raise(VALUE mesg)
static VALUE BigDecimal_mode(int argc, VALUE *argv, VALUE self)
#define VP_SIGN_NEGATIVE_FINITE
#define RB_TYPE_P(obj, type)
static size_t BigDecimal_memsize(const void *ptr)
static VALUE BigDecimal_divmod(VALUE self, VALUE r)
static VALUE BigDecimal_inspect(VALUE self)
static VALUE BigDecimal_divide(Real **c, Real **res, Real **div, VALUE self, VALUE r)
static VALUE BigDecimalCmp(VALUE self, VALUE r, char op)
static VALUE BigDecimal_neg(VALUE self)
static VALUE BigDecimal_save_rounding_mode(VALUE self)
VALUE rb_class_name(VALUE)
static VALUE BigDecimal_nonzero(VALUE self)
static int VpLimitRound(Real *c, size_t ixDigit)
NORETURN(static void cannot_be_coerced_into_BigDecimal(VALUE, VALUE))
static VALUE BigDecimal_exponent(VALUE self)
#define VP_EXCEPTION_UNDERFLOW
static int VpIsDefOP(Real *c, Real *a, Real *b, int sw)
#define BDIGIT_DBL_SIGNED
static VALUE BigDecimal_remainder(VALUE self, VALUE r)
int rb_typeddata_is_kind_of(VALUE obj, const rb_data_type_t *data_type)
VALUE rb_str_cat2(VALUE, const char *)
static VALUE BigDecimal_to_f(VALUE self)
#define rmpd_set_thread_local_exception_mode(mode)
VALUE rb_thread_current(void)
VP_EXPORT double VpGetDoubleNaN(void)
VP_EXPORT size_t VpGetPrecLimit(void)
VALUE rb_define_class(const char *name, VALUE super)
Defines a top-level class.
static VALUE BigDecimal_div(VALUE self, VALUE r)
VP_EXPORT void * VpMemAlloc(size_t mb)
void rb_define_const(VALUE, const char *, VALUE)
#define VpAllocReal(prec)
static VALUE BigDecimal_IsNaN(VALUE self)
VP_EXPORT size_t VpMult(Real *c, Real *a, Real *b)
static int VpNmlz(Real *a)
volatile const double gOne_ABCED9B4_CE73__00400511F31D
static int is_kind_of_BigDecimal(VALUE const v)
static VALUE BigDecimal_add2(VALUE self, VALUE b, VALUE n)
VP_EXPORT void VpToFString(Real *a, char *psz, size_t fFmt, int fPlus)
static VALUE BigDecimal_initialize_copy(VALUE self, VALUE other)
#define MEMCPY(p1, p2, type, n)
RUBY_EXTERN int isinf(double)
VP_EXPORT Real * VpOne(void)
VP_EXPORT void VpSzMantissa(Real *a, char *psz)
static VALUE int_chr(int argc, VALUE *argv, VALUE num)
VALUE rb_big2str(VALUE x, int base)
#define RBIGNUM_DIGITS(b)
static VALUE BigDecimal_version(VALUE self)
static VALUE BigDecimal_double_fig(VALUE self)
static VALUE BigDecimal_floor(int argc, VALUE *argv, VALUE self)
#define RBIGNUM_ZERO_P(x)
VP_EXPORT void VpFree(Real *pv)
void Init_bigdecimal(void)
VALUE rb_str_resize(VALUE, long)
static VALUE BigDecimal_add(VALUE self, VALUE r)
#define VP_EXCEPTION_ZERODIVIDE
static ID id_BigDecimal_exception_mode
static Real * GetVpValueWithPrec(VALUE v, long prec, int must)
static void VpInternalRound(Real *c, size_t ixDigit, BDIGIT vPrev, BDIGIT v)
volatile const double gZero_ABCED9B1_CE73__00400511F31D
static const rb_data_type_t BigDecimal_data_type
#define VP_SIGN_NEGATIVE_INFINITE
void rb_fatal(const char *fmt,...)
static VALUE BigDecimal_uplus(VALUE self)
int rb_scan_args(int argc, const VALUE *argv, const char *fmt,...)
VP_EXPORT Real * VpAlloc(size_t mx, const char *szVal)
#define rmpd_set_thread_local_rounding_mode(mode)
unsigned char buf[MIME_BUF_SIZE]
static VALUE BigDecimal_ge(VALUE self, VALUE r)
VALUE rb_assoc_new(VALUE car, VALUE cdr)
static VALUE BigDecimal_global_new(int argc, VALUE *argv, VALUE self)
static VALUE BigDecimal_split(VALUE self)
#define VP_EXCEPTION_MEMORY
static int is_integer(VALUE x)
static ID id_BigDecimal_precision_limit
VP_EXPORT size_t VpInit(BDIGIT BaseVal)
static VALUE rmpd_power_by_big_decimal(Real const *x, Real const *exp, ssize_t const n)
VALUE rb_num_coerce_relop(VALUE, VALUE, ID)
static void shift(struct cparse_params *v, long act, VALUE tok, VALUE val)
RUBY_EXTERN VALUE rb_cNumeric
void rb_jump_tag(int tag)
static VALUE BigDecimal_to_i(VALUE self)
static VALUE BigDecimal_s_allocate(VALUE klass)
VP_EXPORT double VpGetDoubleNegInf(void)
static VALUE BigDecimal_zero(VALUE self)
#define StringValueCStr(v)
static VALUE BigDecimal_IsFinite(VALUE self)
VP_EXPORT size_t VpAsgn(Real *c, Real *a, int isw)
static size_t rmpd_double_figures(void)
BDIGIT frac[FLEXIBLE_ARRAY_SIZE]
#define RMPD_PRECISION_LIMIT_DEFAULT
static VALUE BigDecimal_gt(VALUE self, VALUE r)
#define rmpd_set_thread_local_precision_limit(limit)
static VALUE BigDecimal_mult(VALUE self, VALUE r)
static int is_negative(VALUE x)
#define VpChangeSign(a, s)
void * rb_check_typeddata(VALUE obj, const rb_data_type_t *data_type)
VALUE rb_exc_new3(VALUE etype, VALUE str)
RUBY_EXTERN double round(double)
#define RB_OBJ_CLASSNAME(obj)
static void BigDecimal_check_num(Real *p)
static const unsigned char cv[]
static Real * BigDecimal_new(int argc, VALUE *argv)
VP_EXPORT int VpToSpecialString(Real *a, char *psz, int fPlus)
#define RMPD_ROUNDING_MODE_DEFAULT
VP_EXPORT int VpLeftRound(Real *y, unsigned short f, ssize_t nf)
VP_EXPORT size_t VpAddSub(Real *c, Real *a, Real *b, int operation)
static VALUE BigDecimal_power_op(VALUE self, VALUE exp)
static int rb_special_const_p(VALUE obj)
static int is_even(VALUE x)
static VALUE BigDecimal_sub2(VALUE self, VALUE b, VALUE n)
VP_EXPORT int VpPower(Real *y, Real *x, SIGNED_VALUE n)
static unsigned int hash(const char *str, unsigned int len)
#define SafeStringValue(v)
static SIGNED_VALUE GetPositiveInt(VALUE v)
static VALUE BigDecimal_initialize(int argc, VALUE *argv, VALUE self)
VALUE rb_ary_new2(long capa)
#define assert(condition)
#define VP_ROUND_HALF_EVEN
VP_EXPORT size_t VpSetPrecLimit(size_t n)
RUBY_EXTERN VALUE rb_eFloatDomainError
#define RRATIONAL_ZERO_P(x)
#define BigMath_log(x, n)
static BDIGIT VpSubAbs(Real *a, Real *b, Real *c)
VP_EXPORT size_t VpNumOfChars(Real *vp, const char *pszFmt)
#define rb_intern_const(str)
#define RBIGNUM_NEGATIVE_P(b)
static VALUE BigDecimal_hash(VALUE self)
VALUE rb_define_module(const char *name)
static unsigned short check_rounding_mode(VALUE const v)
static VALUE BigDecimal_save_limit(VALUE self)
static VALUE BigDecimal_le(VALUE self, VALUE r)
static VALUE BigDecimal_save_exception_mode(VALUE self)
static int AddExponent(Real *a, SIGNED_VALUE n)
VP_EXPORT double VpGetDoubleNegZero(void)
#define VpReallocReal(ptr, prec)
void rb_define_method(VALUE klass, const char *name, VALUE(*func)(ANYARGS), int argc)
VALUE rb_str_new2(const char *)
void rb_warn(const char *fmt,...)
VP_EXPORT void * VpMemRealloc(void *ptr, size_t mb)
static VALUE BigDecimal_IsInfinite(VALUE self)
VP_EXPORT ssize_t VpExponent10(Real *a)
static VALUE BigDecimal_frac(VALUE self)
static VALUE BigDecimal_sub(VALUE self, VALUE r)
VALUE rb_num_coerce_cmp(VALUE, VALUE, ID)
static VALUE BigDecimal_to_s(int argc, VALUE *argv, VALUE self)
VALUE rb_str_new(const char *, long)
VALUE rb_obj_class(VALUE)
VP_EXPORT int VpSqrt(Real *y, Real *x)