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)))
108 #define DoSomeOne(x,y,f) rb_num_coerce_bin(x,y,f)
146 const Real *pv = ptr;
147 return pv ? (
sizeof(*pv) + pv->
MaxPrec *
sizeof(
BDIGIT)) : 0;
206 if (prec < 0)
goto unable_to_coerce_without_prec;
207 if (prec >
DBL_DIG+1)
goto SomeOneMayDoIt;
211 if (prec < 0)
goto unable_to_coerce_without_prec;
213 if (orig ==
Qundef ? (orig = v, 1) : orig != v) {
216 if (pv ==
NULL)
goto SomeOneMayDoIt;
241 #ifdef ENABLE_NUMERIC_STRING
262 unable_to_coerce_without_prec:
265 "%s can't be coerced into BigDecimal without a precision",
383 while((*pch)!=(
unsigned char)
'\0' && (ch=*pch++)!=(
unsigned char)
':') {
387 m = m*10 + (
unsigned long)(ch-
'0');
396 static unsigned short
480 f = (
unsigned long)
FIX2INT(which);
492 (fo&(~VP_EXCEPTION_INFINITY))));
497 (fo&(~VP_EXCEPTION_NaN))));
502 (fo&(~VP_EXCEPTION_UNDERFLOW))));
507 (fo&(~VP_EXCEPTION_ZERODIVIDE))));
533 if(mx < b->Prec) mx = b->
Prec;
574 #define VpAllocReal(prec) (Real *)VpMemAlloc(offsetof(Real, frac) + (prec) * sizeof(BDIGIT))
575 #define VpReallocReal(ptr, prec) (Real *)VpMemRealloc((ptr), offsetof(Real, frac) + (prec) * sizeof(BDIGIT))
698 if (
VpVtoD(&d, &e, p) != 1)
710 if (
errno == ERANGE) {
711 if (d == 0.0)
goto underflow;
712 if (fabs(d) >= HUGE_VAL)
goto overflow;
738 ssize_t sign, power, denomi_power;
739 VALUE a, digits, numerator;
754 if (denomi_power < 0) {
860 if (mx == (
size_t)-1L) {
914 if (mx == (
size_t)-1L) {
994 if(e==0)
return Qtrue;
998 if(e>=0)
return Qtrue;
1002 if(e> 0)
return Qtrue;
1006 if(e<=0)
return Qtrue;
1010 if(e< 0)
return Qtrue;
1017 rb_bug(
"Undefined operation in BigDecimalCmp()");
1235 if(r!=(
VALUE)0)
return r;
1409 if(f!=(
VALUE)0)
return f;
1473 mx = av->
Prec + bv->Prec + 2;
1474 if(mx <= cv->MaxPrec) mx = cv->MaxPrec+1;
1628 switch (
rb_scan_args(argc, argv,
"02", &vLoc, &vRound)) {
1753 #ifdef BIGDECIMAL_DEBUG
1754 VPrint(stderr,
"floor: c=%\n", c);
1862 else if (*psz ==
'+') {
1866 while ((ch = *psz++) != 0) {
1871 if (ch ==
'F' || ch ==
'f') {
1876 mc = mc * 10 + ch -
'0';
1890 nc += (nc + mc - 1) / mc + 1;
1945 size_t len =
strlen(psz1+1);
1951 if(psz1[0]==
'N') s=0;
1999 sprintf(psz,
"#<BigDecimal:%"PRIxVALUE",'",
self);
2011 #define BigMath_exp(x, n) BigMath_s_exp(rb_mBigMath, (x), (n))
2012 #define BigMath_log(x, n) BigMath_s_log(rb_mBigMath, (x), (n))
2035 #define is_positive(x) (!is_negative(x))
2105 VALUE log_x, multiplied, y;
2154 switch (
TYPE(vexp)) {
2163 if (d ==
round(d)) {
2164 vexp = LL2NUM((LONG_LONG)
round(d));
2198 "wrong argument type %s (expected scalar Numeric)",
2279 "a non-integral exponent for a negative base");
2337 if (ma < 0) ma = -ma;
2338 if (ma == 0) ma = 1;
2427 if (
rb_scan_args(argc, argv,
"11", &iniValue, &nFig) == 1) {
2434 switch (
TYPE(iniValue)) {
2454 "can't omit precision for a %s.",
2497 if(nFig==
Qnil)
return nCur;
2656 infinite =
isinf(flo);
2658 if (!infinite && !nan) {
2689 else if (vx ==
NULL) {
2711 ssize_t m = n -
vabs(ey - ed);
2797 if (zero || negative)
break;
2805 infinite =
isinf(flo);
2807 if (!zero && !negative && !infinite && !nan) {
2815 if (zero || negative)
break;
2821 "Complex argument for BigMath.log");
2826 if (infinite && !negative) {
2840 else if (zero || negative) {
2842 "Zero or negative argument for log");
2844 else if (vx ==
NULL) {
2855 if (expo < 0 || expo >= 3) {
2874 ssize_t m = n -
vabs(ey - ed);
2892 VALUE log10, vexpo, dy;
3238 #ifdef BIGDECIMAL_DEBUG
3239 static int gfDebug = 1;
3241 static int gfCheckVal = 1;
3251 #define MemCmp(x,y,z) memcmp(x,y,z)
3252 #define StrCmp(x,y) strcmp(x,y)
3260 static void VpFormatSt(
char *psz,
size_t fFmt);
3263 #ifdef BIGDECIMAL_DEBUG
3264 static int gnAlloc=0;
3275 #ifdef BIGDECIMAL_DEBUG
3296 #ifdef BIGDECIMAL_DEBUG
3299 printf(
" *************** All memories allocated freed ****************");
3303 printf(
" ??????????? Too many memory free calls(%d) ?????????????\n",gnAlloc);
3314 #define rmpd_set_thread_local_exception_mode(mode) \
3315 rb_thread_local_aset( \
3316 rb_thread_current(), \
3317 id_BigDecimal_exception_mode, \
3318 INT2FIX((int)(mode)) \
3321 static unsigned short
3334 return (
unsigned short)
FIX2UINT(vmode);
3347 #define rmpd_set_thread_local_precision_limit(limit) \
3348 rb_thread_local_aset( \
3349 rb_thread_current(), \
3350 id_BigDecimal_precision_limit, \
3353 #define RMPD_PRECISION_LIMIT_DEFAULT ((size_t)0)
3364 if (
NIL_P(vlimit)) {
3384 #define rmpd_set_thread_local_rounding_mode(mode) \
3385 rb_thread_local_aset( \
3386 rb_thread_current(), \
3387 id_BigDecimal_rounding_mode, \
3388 INT2FIX((int)(mode)) \
3404 return (
unsigned short)
FIX2INT(vmode);
3475 static double fNaN = 0.0;
3476 if(fNaN==0.0) fNaN =
Zero()/
Zero();
3483 static double fInf = 0.0;
3484 if(fInf==0.0) fInf =
One()/
Zero();
3491 static double fInf = 0.0;
3492 if(fInf==0.0) fInf = -(
One()/
Zero());
3499 static double nzero = 1000.0;
3506 VpIsNegDoubleZero(
double v)
3509 return MemCmp(&v,&z,
sizeof(v))==0;
3522 if (always || (exception_mode & f)) {
3668 if((
size_t)ex > vp->
Prec) {
3704 VpConstOne =
VpAlloc(1UL,
"1");
3707 #ifdef BIGDECIMAL_DEBUG
3711 #ifdef BIGDECIMAL_DEBUG
3713 printf(
"VpInit: BaseVal = %lu\n", BaseVal);
3714 printf(
" BASE = %lu\n",
BASE);
3715 printf(
" HALF_BASE = %lu\n",
HALF_BASE);
3716 printf(
" BASE1 = %lu\n",
BASE1);
3717 printf(
" BASE_FIG = %u\n",
BASE_FIG);
3718 printf(
" DBLE_FIG = %d\n",
DBLE_FIG);
3742 if(mb<eb)
goto overflow;
3747 if(mb>eb)
goto underflow;
3778 size_t i, ni, ipn, ipf, nf, ipe,
ne, nalloc;
3787 while (
ISSPACE(*szVal)) szVal++;
3788 if (*szVal !=
'#') {
3817 while ((psz[i]=szVal[ipn]) != 0) {
3819 if (psz[i] ==
'_') {
3820 if (ni > 0) { ipn++;
continue; }
3857 if (szVal[i] ==
'-') { sign=-1; ++
i; }
3858 else if (szVal[i] ==
'+') ++
i;
3861 while ((v = szVal[i]) != 0) {
3872 if (szVal[i] ==
'.') {
3875 while ((v = szVal[i]) != 0) {
3891 if ((v ==
'-') || (v ==
'+')) ++
i;
3892 while ((v=szVal[i]) != 0) {
3904 if (mx <= 0) mx = 1;
3905 nalloc =
Max(nalloc, mx);
3911 VpCtoV(vp, &szVal[ipn], ni, &szVal[ipf], nf, &szVal[ipe], ne);
3974 Real *a_ptr, *b_ptr;
3975 size_t n, na, nb,
i;
3978 #ifdef BIGDECIMAL_DEBUG
3980 VPrint(stdout,
"VpAddSub(enter) a=% \n", a);
3981 VPrint(stdout,
" b=% \n", b);
3982 printf(
" operation=%d\n", operation);
3986 if(!
VpIsDefOP(c,a,b,(operation>0)?1:2))
return 0;
4011 if(operation < 0) sw = -1;
4029 for(i=0;i < n; ++
i) {
4034 }
else if(a->
frac[i] < b->
frac[i]) {
4044 }
else if(na < nb) {
4082 #ifdef BIGDECIMAL_DEBUG
4084 VPrint(stdout,
"VpAddSub(result) c=% \n", c);
4085 VPrint(stdout,
" a=% \n", a);
4086 VPrint(stdout,
" b=% \n", b);
4087 printf(
" operation=%d\n", operation);
4106 size_t b_pos, b_pos_with_word_shift;
4108 BDIGIT av, bv, carry, mrv;
4110 #ifdef BIGDECIMAL_DEBUG
4112 VPrint(stdout,
"VpAddAbs called: a = %\n", a);
4113 VPrint(stdout,
" b = %\n", b);
4117 word_shift =
VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv);
4121 if(word_shift==(
size_t)-1L)
return 0;
4122 if(b_pos == (
size_t)-1L)
goto Assign_a;
4128 while(b_pos + word_shift > a_pos) {
4140 b_pos_with_word_shift = b_pos + word_shift;
4141 while(a_pos > b_pos_with_word_shift) {
4142 c->
frac[--c_pos] = a->
frac[--a_pos];
4149 c->
frac[--c_pos] = a->
frac[--a_pos] + b->
frac[--b_pos] + carry;
4161 c->
frac[--c_pos] = a->
frac[--a_pos] + carry;
4169 if(c_pos) c->
frac[c_pos - 1] += carry;
4178 #ifdef BIGDECIMAL_DEBUG
4180 VPrint(stdout,
"VpAddAbs exit: c=% \n", c);
4197 size_t b_pos, b_pos_with_word_shift;
4199 BDIGIT av, bv, borrow, mrv;
4201 #ifdef BIGDECIMAL_DEBUG
4203 VPrint(stdout,
"VpSubAbs called: a = %\n", a);
4204 VPrint(stdout,
" b = %\n", b);
4208 word_shift =
VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv);
4212 if(word_shift==(
size_t)-1L)
return 0;
4213 if(b_pos == (
size_t)-1L)
goto Assign_a;
4226 if(b_pos + word_shift > a_pos) {
4227 while(b_pos + word_shift > a_pos) {
4241 b_pos_with_word_shift = b_pos + word_shift;
4242 while(a_pos > b_pos_with_word_shift) {
4243 c->
frac[--c_pos] = a->
frac[--a_pos];
4250 if(a->
frac[--a_pos] < b->
frac[--b_pos] + borrow) {
4254 c->
frac[c_pos] = a->
frac[a_pos] - b->
frac[b_pos] - borrow;
4263 if(a->
frac[--a_pos] < borrow) {
4267 c->
frac[c_pos] = a->
frac[a_pos] - borrow;
4271 if(c_pos) c->
frac[c_pos - 1] -= borrow;
4279 #ifdef BIGDECIMAL_DEBUG
4281 VPrint(stdout,
"VpSubAbs exit: c=% \n", c);
4304 size_t left_word, right_word, word_shift;
4308 left_word = b->
Prec + word_shift;
4309 right_word =
Max((a->
Prec),left_word);
4314 if(right_word > left_word) {
4324 *c_pos = right_word = left_word + 1;
4333 *av = a->
frac[*a_pos];
4349 if(c->
MaxPrec >=(word_shift + 1)) {
4350 *b_pos = c->
MaxPrec - word_shift - 1;
4351 *bv = b->
frac[*b_pos];
4373 *c_pos = right_word + 1;
4399 size_t MxIndA, MxIndB, MxIndAB, MxIndC;
4400 size_t ind_c,
i, ii, nc;
4401 size_t ind_as, ind_ae, ind_bs;
4406 #ifdef BIGDECIMAL_DEBUG
4408 VPrint(stdout,
"VpMult(Enter): a=% \n", a);
4409 VPrint(stdout,
" b=% \n", b);
4436 MxIndA = a->
Prec - 1;
4437 MxIndB = b->
Prec - 1;
4441 if(MxIndC < MxIndAB) {
4456 nc = ind_c = MxIndAB;
4457 memset(c->
frac, 0, (nc + 1) *
sizeof(
BDIGIT));
4459 for(nc = 0; nc < MxIndAB; ++nc, --ind_c) {
4461 ind_as = MxIndA - nc;
4464 }
else if(nc <= MxIndA) {
4465 ind_as = MxIndA - nc;
4466 ind_ae = MxIndA -(nc - MxIndB);
4468 }
else if(nc > MxIndA) {
4470 ind_ae = MxIndAB - nc - 1;
4471 ind_bs = MxIndB -(nc - MxIndA);
4474 for(i = ind_as; i <= ind_ae; ++
i) {
4487 c->
frac[ii] += carry;
4508 #ifdef BIGDECIMAL_DEBUG
4510 VPrint(stdout,
"VpMult(c=a*b): c=% \n", c);
4511 VPrint(stdout,
" a=% \n", a);
4512 VPrint(stdout,
" b=% \n", b);
4524 size_t word_a, word_b, word_c, word_r;
4525 size_t i, n, ind_a, ind_b, ind_c, ind_r;
4528 BDIGIT borrow, borrow1, borrow2;
4531 #ifdef BIGDECIMAL_DEBUG
4533 VPrint(stdout,
" VpDivd(c=a/b) a=% \n", a);
4534 VPrint(stdout,
" b=% \n", b);
4569 if(word_a >= word_r)
goto space_error;
4572 while(ind_r <= word_a) {
4573 r->
frac[ind_r] = a->
frac[ind_r - 1];
4577 while(ind_r < word_r) r->
frac[ind_r++] = 0;
4578 while(ind_c < word_c) c->
frac[ind_c++] = 0;
4581 b1 = b1p1 = b->
frac[0];
4583 b1b2p1 = b1b2 = b1p1 *
BASE;
4586 b1b2p1 = b1b2 = b1 *
BASE + b->
frac[1];
4587 if(b->
Prec > 2) ++b1b2p1;
4593 nLoop =
Min(word_c,ind_c);
4595 while(ind_c < nLoop) {
4596 if(r->
frac[ind_c] == 0) {
4605 while(ind_b < word_b) {
4606 if(r->
frac[ind_a] < b->
frac[ind_b])
goto div_b1p1;
4607 if(r->
frac[ind_a] > b->
frac[ind_b])
break;
4615 ind_b = b->
Prec - 1;
4616 ind_r = ind_c + ind_b;
4617 if(ind_r >= word_r)
goto space_error;
4619 for(i = 0; i <= n; ++
i) {
4620 if(r->
frac[ind_r] < b->
frac[ind_b] + borrow) {
4624 r->
frac[ind_r] = r->
frac[ind_r] - b->
frac[ind_b] - borrow;
4635 if(r1r2 >= b1b2p1) {
4638 ind_r = b->
Prec + ind_c - 1;
4643 if(ind_c + 1 >= word_c)
goto out_side;
4646 ind_r = b->
Prec + ind_c;
4649 borrow1 = borrow2 = 0;
4651 if(ind_r >= word_r)
goto space_error;
4653 for(i = 0; i <= n; ++
i) {
4655 qb = q * b->
frac[ind_b];
4656 if (qb <
BASE) borrow1 = 0;
4661 if(r->
frac[ind_r] < qb) {
4663 borrow2 = borrow2 + borrow1 + 1;
4669 if(r->
frac[ind_r - 1] < borrow2) {
4670 r->
frac[ind_r - 1] += (
BASE - borrow2);
4673 r->
frac[ind_r - 1] -= borrow2;
4681 r->
frac[ind_r] -= borrow2;
4707 #ifdef BIGDECIMAL_DEBUG
4709 printf(
" word_a=%lu\n", word_a);
4710 printf(
" word_b=%lu\n", word_b);
4711 printf(
" word_c=%lu\n", word_c);
4712 printf(
" word_r=%lu\n", word_r);
4713 printf(
" ind_r =%lu\n", ind_r);
4716 rb_bug(
"ERROR(VpDivd): space for remainder too small.");
4719 #ifdef BIGDECIMAL_DEBUG
4721 VPrint(stdout,
" VpDivd(c=a/b), c=% \n", c);
4722 VPrint(stdout,
" r=% \n", r);
4742 if (a->
frac[ind_a]) {
4743 a->
Prec = ind_a + 1;
4745 while (a->
frac[i] == 0) ++
i;
4782 else if(e<0)
return -1;
4825 if((a->
frac[ind]) >(b->
frac[ind])) {
4829 if((a->
frac[ind]) <(b->
frac[ind])) {
4842 if (val> 1) val = 1;
4843 else if(val<-1) val = -1;
4845 #ifdef BIGDECIMAL_DEBUG
4847 VPrint(stdout,
" VpComp a=%\n", a);
4848 VPrint(stdout,
" b=%\n", b);
4849 printf(
" ans=%d\n", val);
4855 #ifdef BIGDECIMAL_ENABLE_VPRINT
4867 VPrint(
FILE *fp,
const char *cntl_chr,
Real *a)
4869 size_t i, j, nc, nd, ZeroSup;
4895 while(*(cntl_chr + j)) {
4896 if((*(cntl_chr + j) ==
'%') &&(*(cntl_chr + j + 1) !=
'%')) {
4903 nc += fprintf(fp,
"0.");
4904 for(i=0; i < a->
Prec; ++
i) {
4909 if((!ZeroSup) || nn) {
4910 nc += fprintf(fp,
"%lu", (
unsigned long)nn);
4918 nc += fprintf(fp,
" ");
4926 nc += fprintf(fp,
"0.0");
4930 if(*(cntl_chr + j) ==
'\\') {
4931 switch(*(cntl_chr + j + 1)) {
4945 fprintf(fp,
"%c", *(cntl_chr + j));
4949 fprintf(fp,
"%c", *(cntl_chr + j));
4950 if(*(cntl_chr + j) ==
'%') ++j;
4962 size_t ie,
i, nf = 0;
4968 for(i = 0; i < ie; ++
i) {
4971 if(
ISSPACE(ch) || ch==
'-' || ch==
'+')
continue;
4972 if(ch ==
'.') { nf = 0;
continue;}
4973 if(ch ==
'E')
break;
4976 memmove(psz + i + 1, psz + i, ie - i + 1);
4994 while ((a->
frac[0] / n) == 0) {
5004 size_t i, n, ZeroSup;
5024 for (i=0; i < n; ++
i) {
5029 if((!ZeroSup) || nn) {
5030 sprintf(psz,
"%lu", (
unsigned long)nn);
5040 while(psz[-1]==
'0') *(--psz) = 0;
5043 else sprintf(psz,
"-0");
5059 }
else if(fPlus==2) {
5071 if(fPlus==1) sprintf(psz,
" 0.0");
5072 else if(fPlus==2) sprintf(psz,
"+0.0");
5073 else sprintf(psz,
"0.0");
5074 }
else sprintf(psz,
"-0.0");
5084 size_t i, n, ZeroSup;
5094 else if (fPlus == 1) *psz++ =
' ';
5095 else if (fPlus == 2) *psz++ =
'+';
5100 for(i=0;i < n;++
i) {
5105 if((!ZeroSup) || nn) {
5106 sprintf(psz,
"%lu", (
unsigned long)nn);
5117 while(a->
frac[0] / shift == 0) {
5121 while(psz[-1]==
'0') *(--psz) = 0;
5138 else if(fPlus==1) *psz++ =
' ';
5139 else if(fPlus==2) *psz++ =
'+';
5144 *psz++ =
'0';*psz++ =
'.';
5152 for(i=0;i < n;++
i) {
5154 if(i==0 && ex >= 0) {
5155 sprintf(psz,
"%lu", (
unsigned long)a->
frac[i]);
5162 *psz++ = (char)(nn +
'0');
5167 if(ex == 0) *psz++ =
'.';
5171 while(m/=10) *psz++ =
'0';
5172 if(ex == 0) *psz++ =
'.';
5175 while(psz[-1]==
'0') *(--psz) = 0;
5176 if(psz[-1]==
'.') sprintf(psz,
"0");
5194 size_t i, j, ind_a, ma, mi, me;
5196 int sign, signe, exponent_overflow;
5204 exponent_overflow = 0;
5208 if (exp_chr[0] ==
'-') {
5213 else if (exp_chr[0] ==
'+') {
5219 e = e * 10 + exp_chr[
i] -
'0';
5221 exponent_overflow = 1;
5233 if(int_chr[0] ==
'-') {
5237 }
else if(int_chr[0] ==
'+') {
5246 if (e > 0) signe = 1;
5265 if (exponent_overflow) {
5267 for ( ; i < mi &&
zero; i++) zero = int_chr[i] ==
'0';
5268 for (i = 0; i < nf &&
zero; i++) zero = frac[i] ==
'0';
5269 if (!zero && signe > 0) {
5280 while ((j <
BASE_FIG) && (i < mi)) {
5281 a->
frac[ind_a] = a->
frac[ind_a] * 10 + int_chr[
i] -
'0';
5287 if (ind_a >= ma)
goto over_flow;
5296 while((j <
BASE_FIG) && (i < nf)) {
5297 a->
frac[ind_a] = a->
frac[ind_a] * 10 + frac[
i] -
'0';
5303 if(ind_a >= ma)
goto over_flow;
5310 rb_warn(
"Conversion from String to BigDecimal overflow (last few digits discarded).");
5313 if (ind_a >= ma) ind_a = ma - 1;
5315 a->
frac[ind_a] = a->
frac[ind_a] * 10;
5318 a->
Prec = ind_a + 1;
5343 size_t ind_m, mm, fig;
5384 div /= (double)
BASE;
5385 *d = *d + (double)m->
frac[ind_m++] * div;
5391 #ifdef BIGDECIMAL_DEBUG
5393 VPrint(stdout,
" VpVtoD: m=%\n", m);
5394 printf(
" d=%e * 10 **%ld\n", *d, *e);
5395 printf(
" DBLE_FIG = %d\n",
DBLE_FIG);
5426 val =(d > 0.) ? d :(-d);
5430 val /= (double)
BASE;
5434 val2 = 1.0 /(double)
BASE;
5436 val *= (double)
BASE;
5444 for(ind_m = 0;val > 0.0 && ind_m < mm;ind_m++) {
5445 val *= (double)
BASE;
5450 if(ind_m >= mm) ind_m = mm - 1;
5452 m->
Prec = ind_m + 1;
5459 #ifdef BIGDECIMAL_DEBUG
5461 printf(
"VpDtoV d=%30.30e\n", d);
5462 VPrint(stdout,
" m=%\n", m);
5476 size_t val, v1, v2,
v;
5488 val =(size_t)(-ival);
5506 val = val - v2 * v1;
5515 m->
Prec = ind_m - 1;
5521 #ifdef BIGDECIMAL_DEBUG
5523 printf(
" VpItoV i=%d\n", ival);
5524 VPrint(stdout,
" m=%\n", m);
5577 prec = x->
exponent - (ssize_t)y_prec;
5586 if (e - n * 2 != 0) {
5607 if(f->
exponent <= prec)
goto converge;
5610 #ifdef BIGDECIMAL_DEBUG
5612 printf(
"ERROR(VpSqrt): did not converge within %ld iterations.\n",
5620 #ifdef BIGDECIMAL_DEBUG
5624 printf(
"VpSqrt: iterations = %"PRIdSIZE"\n", nr);
5625 VPrint(stdout,
" y =% \n", y);
5626 VPrint(stdout,
" x =% \n", x);
5627 VPrint(stdout,
" x-y*y = % \n", f);
5654 int fracf, fracf_1further;
5655 ssize_t n,
i,ix,ioffset, exptoadd;
5672 if ((
size_t)ix >= y->
Prec)
return 0;
5675 ioffset = nf - ix*(ssize_t)
BASE_FIG;
5676 n = (ssize_t)
BASE_FIG - ioffset - 1;
5677 for (shifter=1,i=0; i<n; ++
i) shifter *= 10;
5701 fracf = (v % (shifter * 10) > 0);
5702 fracf_1further = ((v % shifter) > 0);
5718 for (i=ix+1; (size_t)i < y->Prec; i++) {
5720 fracf = fracf_1further = 1;
5743 if (v > 5 || (v == 5 && fracf_1further)) ++
div;
5754 if (fracf_1further) {
5764 if (ix && (y->
frac[ix-1] % 2)) ++
div;
5773 for (i=0; i<=n; ++
i) div *= 10;
5792 for(i=0;i<exptoadd;i++) {
5813 while ((v /= 10) != 0) nf--;
5822 if (
VpAsgn(y, x, 10) <= 1)
return 0;
5830 if(!
VpNmlz(c))
return -1;
5832 if(!ixDigit) ixDigit = c->
Prec-1;
5850 switch (rounding_mode) {
5875 else if (v == 5 && vPrev % 2) f = 1;
5892 if (!ind_m) ind_m = m->
Prec;
5895 while (carry > 0 && (ind_m--)) {
5896 m->
frac[ind_m] += carry;
5915 size_t my, ind_y, ind_x;
5948 #ifdef BIGDECIMAL_DEBUG
5950 VPrint(stdout,
"VpFrac y=%\n", y);
5951 VPrint(stdout,
" x=%\n", x);
5976 if(sign<0) sign = (n%2)?(-1):(1);
5979 if(sign<0) sign = (n%2)?(-1):(1);
6005 if((n % 2) == 0)
goto Exit;
6030 while (ss = s, (s += s) <= (
size_t)n) {
6039 VpDivd(w1, w2, VpConstOne, y);
6044 #ifdef BIGDECIMAL_DEBUG
6046 VPrint(stdout,
"VpPower y=%\n", y);
6047 VPrint(stdout,
"VpPower x=%\n", x);
6048 printf(
" n=%d\n", n);
6056 #ifdef BIGDECIMAL_DEBUG
6058 VpVarCheck(
Real * v)
6071 printf(
"ERROR(VpVarCheck): Illegal Max. Precision(=%"PRIuSIZE")\n",
6076 printf(
"ERROR(VpVarCheck): Illegal Precision(=%"PRIuSIZE")\n", v->
Prec);
6080 for(i = 0; i < v->
Prec; ++
i) {
6082 printf(
"ERROR(VpVarCheck): Illegal fraction\n");
6086 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)
const char * rb_obj_classname(VALUE)
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
const char * rb_class2name(VALUE)
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)
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)