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authorErlang/OTP <otp@erlang.org>2009-11-20 14:54:40 +0000
committerErlang/OTP <otp@erlang.org>2009-11-20 14:54:40 +0000
commit84adefa331c4159d432d22840663c38f155cd4c1 (patch)
treebff9a9c66adda4df2106dfd0e5c053ab182a12bd /erts/emulator/beam/big.c
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The R13B03 release.OTP_R13B03
Diffstat (limited to 'erts/emulator/beam/big.c')
-rw-r--r--erts/emulator/beam/big.c2241
1 files changed, 2241 insertions, 0 deletions
diff --git a/erts/emulator/beam/big.c b/erts/emulator/beam/big.c
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+/*
+ * %CopyrightBegin%
+ *
+ * Copyright Ericsson AB 1996-2009. All Rights Reserved.
+ *
+ * The contents of this file are subject to the Erlang Public License,
+ * Version 1.1, (the "License"); you may not use this file except in
+ * compliance with the License. You should have received a copy of the
+ * Erlang Public License along with this software. If not, it can be
+ * retrieved online at http://www.erlang.org/.
+ *
+ * Software distributed under the License is distributed on an "AS IS"
+ * basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
+ * the License for the specific language governing rights and limitations
+ * under the License.
+ *
+ * %CopyrightEnd%
+ */
+
+#ifdef HAVE_CONFIG_H
+# include "config.h"
+#endif
+
+#include "sys.h"
+#include "erl_vm.h"
+#include "global.h"
+#include "big.h"
+#include "error.h"
+#include "bif.h"
+
+#define ZERO_DIGITS(v, sz) do { \
+ dsize_t _t_sz = sz; \
+ ErtsDigit* _t_v = v; \
+ while(_t_sz--) *_t_v++ = 0; \
+ } while(0)
+
+#define MOVE_DIGITS(dst, src, sz) do { \
+ dsize_t _t_sz = sz; \
+ ErtsDigit* _t_dst; \
+ ErtsDigit* _t_src; \
+ if (dst < src) { \
+ _t_dst = dst; \
+ _t_src = src; \
+ while(_t_sz--) *_t_dst++ = *_t_src++; \
+ } \
+ else if (dst > src) { \
+ _t_dst = (dst)+((sz)-1); \
+ _t_src = (src)+((sz)-1); \
+ while(_t_sz--) *_t_dst-- = *_t_src--; \
+ } \
+ } while(0)
+
+/* add a and b with carry in + out */
+#define DSUMc(a,b,c,s) do { \
+ ErtsDigit ___cr = (c); \
+ ErtsDigit ___xr = (a)+(___cr); \
+ ErtsDigit ___yr = (b); \
+ ___cr = (___xr < ___cr); \
+ ___xr = ___yr + ___xr; \
+ ___cr += (___xr < ___yr); \
+ s = ___xr; \
+ c = ___cr; \
+ } while(0)
+
+/* add a and b with carry out */
+#define DSUM(a,b,c,s) do { \
+ ErtsDigit ___xr = (a); \
+ ErtsDigit ___yr = (b); \
+ ___xr = ___yr + ___xr; \
+ s = ___xr; \
+ c = (___xr < ___yr); \
+ } while(0)
+
+#define DSUBb(a,b,r,d) do { \
+ ErtsDigit ___cr = (r); \
+ ErtsDigit ___xr = (a); \
+ ErtsDigit ___yr = (b)+___cr; \
+ ___cr = (___yr < ___cr); \
+ ___yr = ___xr - ___yr; \
+ ___cr += (___yr > ___xr); \
+ d = ___yr; \
+ r = ___cr; \
+ } while(0)
+
+#define DSUB(a,b,r,d) do { \
+ ErtsDigit ___xr = (a); \
+ ErtsDigit ___yr = (b); \
+ ___yr = ___xr - ___yr; \
+ r = (___yr > ___xr); \
+ d = ___yr; \
+ } while(0)
+
+/* type a constant as a ErtsDigit - to get shifts correct */
+#define DCONST(n) ((ErtsDigit)(n))
+
+/*
+ * BIG_HAVE_DOUBLE_DIGIT is defined if we have defined
+ * the type ErtsDoubleDigit which MUST have
+ * sizeof(ErtsDoubleDigit) >= sizeof(ErtsDigit)
+ */
+#ifdef BIG_HAVE_DOUBLE_DIGIT
+
+/* ErtsDoubleDigit => ErtsDigit */
+#define DLOW(x) ((ErtsDigit)(x))
+#define DHIGH(x) ((ErtsDigit)(((ErtsDoubleDigit)(x)) >> D_EXP))
+
+/* ErtsDigit => ErtsDoubleDigit */
+#define DLOW2HIGH(x) (((ErtsDoubleDigit)(x)) << D_EXP)
+#define DDIGIT(a1,a0) (DLOW2HIGH(a1) + (a0))
+
+#define DMULc(a,b,c,p) do { \
+ ErtsDoubleDigit _t = ((ErtsDoubleDigit)(a))*(b) + (c); \
+ p = DLOW(_t); \
+ c = DHIGH(_t); \
+ } while(0)
+#define DMUL(a,b,c1,c0) do { \
+ ErtsDoubleDigit _t = ((ErtsDoubleDigit)(a))*(b); \
+ c0 = DLOW(_t); \
+ c1 = DHIGH(_t); \
+ } while(0)
+
+#define DDIV(a1,a0,b,q) do { \
+ ErtsDoubleDigit _t = DDIGIT((a1),(a0)); \
+ q = _t / (b); \
+ } while(0)
+
+#define DDIV2(a1,a0,b1,b0,q) do { \
+ ErtsDoubleDigit _t = DDIGIT((a1),(a0)); \
+ q = _t / DDIGIT((b1),(b0)); \
+ } while(0)
+
+#define DREM(a1,a0,b,r) do { \
+ ErtsDoubleDigit _t = DDIGIT((a1),(a0)); \
+ r = _t % (b); \
+ } while(0)
+
+#else
+
+/* If we do not have double digit then we have some more work to do */
+#define H_EXP (D_EXP >> 1)
+#define LO_MASK ((ErtsDigit)((DCONST(1) << H_EXP)-1))
+#define HI_MASK ((ErtsDigit)(LO_MASK << H_EXP))
+
+#define DGT(a,b) ((a)>(b))
+#define DEQ(a,b) ((a)==(b))
+
+#define D2GT(a1,a0,b1,b0) (DGT(a1,b1) || (((a1)==(b1)) && DGT(a0,b0)))
+#define D2EQ(a1,a0,b1,b0) (DEQ(a1,b1) && DEQ(a0,b0))
+#define D2LT(a1,a0,b1,b0) D2GT(b1,b0,a1,a0)
+#define D2GTE(a1,a0,b1,b0) (!D2LT(a1,a0,b1,b0))
+#define D2LTE(a1,a0,b1,b0) (!D2GT(a1,a0,b1,b0))
+
+// Add (A+B), A=(a1B+a0) B=(b1B+b0)
+#define D2ADD(a1,a0,b1,b0,c1,c0) do { \
+ ErtsDigit __ci = 0; \
+ DSUM(a0,b0,__ci,c0); \
+ DSUMc(a1,b1,__ci,c1); \
+ } while(0)
+
+// Subtract (A-B), A=(a1B+a0), B=(b1B+b0) (A>=B)
+#define D2SUB(a1,a0,b1,b0,c1,c0) do { \
+ ErtsDigit __bi; \
+ DSUB(a0,b0,__bi,c0); \
+ DSUBb(a1,b1,__bi,c1); \
+ } while(0)
+
+
+/* Left shift (multiply by 2) (A <<= 1 where A=a1*B+a0) */
+#define D2LSHIFT1(a1,a0) do { \
+ a1 = ((a0) >> (D_EXP-1)) | ((a1)<<1); \
+ a0 = (a0) << 1; \
+ } while(0)
+
+/* Right shift (divide by 2) (A >>= 1 where A=a1*B+a0) */
+#define D2RSHIFT1(a1,a0) do { \
+ a0 = (((a1) & 1) << (D_EXP-1)) | ((a0)>>1); \
+ a1 = ((a1) >> 1); \
+ } while(0)
+
+/* Calculate a*b + d1 and store double prec result in d1, d0 */
+#define DMULc(a,b,d1,d0) do { \
+ ErtsHalfDigit __a0 = (a); \
+ ErtsHalfDigit __a1 = ((a) >> H_EXP); \
+ ErtsHalfDigit __b0 = (b); \
+ ErtsHalfDigit __b1 = ((b) >> H_EXP); \
+ ErtsDigit __a0b0 = (ErtsDigit)__a0*__b0; \
+ ErtsDigit __a0b1 = (ErtsDigit)__a0*__b1; \
+ ErtsDigit __a1b0 = (ErtsDigit)__a1*__b0; \
+ ErtsDigit __a1b1 = (ErtsDigit)__a1*__b1; \
+ ErtsDigit __p0,__p1,__p2,__c0; \
+ DSUM(__a0b0,d1,__c0,__p0); \
+ DSUM((__c0<<H_EXP),(__p0>>H_EXP),__p2,__p1); \
+ DSUM(__p1,__a0b1,__c0,__p1); \
+ __p2 += __c0; \
+ DSUM(__p1,__a1b0,__c0,__p1); \
+ __p2 += __c0; \
+ DSUM(__p1,__a1b1<<H_EXP,__c0,__p1); \
+ __p2 += __c0; \
+ DSUM(__a1b1, (__p2<<H_EXP),__c0,__p2); \
+ d1 = (__p2 & HI_MASK) | (__p1 >> H_EXP); \
+ d0 = (__p1 << H_EXP) | (__p0 & LO_MASK); \
+ } while(0)
+
+#define DMUL(a,b,d1,d0) do { \
+ ErtsDigit _ds = 0; \
+ DMULc(a,b,_ds,d0); \
+ d1 = _ds; \
+ } while(0)
+
+/* Calculate a*(Bb1 + b0) + d2 = a*b1B + a*b0 + d2 */
+#define D2MULc(a,b1,b0,d2,d1,d0) do { \
+ DMULc(a, b0, d2, d0); \
+ DMULc(a, b1, d2, d1); \
+ } while(0)
+
+/* Calculate s in a = 2^s*a1 */
+/* NOTE since D2PF is used by other macros variables is prefixed bt __ */
+#if D_EXP == 64
+#define D2PF(a, s) do { \
+ ErtsDigit __x = (a); \
+ int __s = 0; \
+ if (__x <= 0x00000000FFFFFFFF) { __s += 32; __x <<= 32; } \
+ if (__x <= 0x0000FFFFFFFFFFFF) { __s += 16; __x <<= 16; } \
+ if (__x <= 0x00FFFFFFFFFFFFFF) { __s += 8; __x <<= 8; } \
+ if (__x <= 0x0FFFFFFFFFFFFFFF) { __s += 4; __x <<= 4; } \
+ if (__x <= 0x3FFFFFFFFFFFFFFF) { __s += 2; __x <<= 2; } \
+ if (__x <= 0x7FFFFFFFFFFFFFFF) { __s += 1; } \
+ s = __s; \
+ } while(0)
+#elif D_EXP == 32
+#define D2PF(a, s) do { \
+ ErtsDigit __x = (a); \
+ int __s = 0; \
+ if (__x <= 0x0000FFFF) { __s += 16; __x <<= 16; } \
+ if (__x <= 0x00FFFFFF) { __s += 8; __x <<= 8; } \
+ if (__x <= 0x0FFFFFFF) { __s += 4; __x <<= 4; } \
+ if (__x <= 0x3FFFFFFF) { __s += 2; __x <<= 2; } \
+ if (__x <= 0x7FFFFFFF) { __s += 1; } \
+ s = __s; \
+ } while(0)
+#elif D_EXP == 16
+#define D2PF(a, s) do { \
+ ErtsDigit __x = (a); \
+ int __s = 0; \
+ if (__x <= 0x00FF) { __s += 8; __x <<= 8; } \
+ if (__x <= 0x0FFF) { __s += 4; __x <<= 4; } \
+ if (__x <= 0x3FFF) { __s += 2; __x <<= 2; } \
+ if (__x <= 0x7FFF) { __s += 1; } \
+ s = __s; \
+ } while(0)
+#elif D_EXP == 8
+#define D2PF(a, s) do { \
+ ErtsDigit __x = (a); \
+ int __s = 0; \
+ if (__x <= 0x0F) { __s += 4; __x <<= 4; } \
+ if (__x <= 0x3F) { __s += 2; __x <<= 2; } \
+ if (__x <= 0x7F) { __s += 1; } \
+ s = _s; \
+ } while(0)
+#endif
+
+/* Calculate q = (a1B + a0) / b, assume a1 < b */
+#define DDIVREM(a1,a0,b,q,r) do { \
+ ErtsDigit _a1 = (a1); \
+ ErtsDigit _a0 = (a0); \
+ ErtsDigit _b = (b); \
+ ErtsHalfDigit _un1, _un0; \
+ ErtsHalfDigit _vn1, _vn0; \
+ ErtsDigit _q1, _q0; \
+ ErtsDigit _un32, _un21, _un10; \
+ ErtsDigit _rh; \
+ Sint _s; \
+ D2PF(_b, _s); \
+ _b = _b << _s; \
+ _vn1 = _b >> H_EXP; \
+ _vn0 = _b & LO_MASK; \
+ _un32 = (_a1 << _s) | ((_a0>>(D_EXP-_s)) & (-_s >> (D_EXP-1))); \
+ _un10 = _a0 << _s; \
+ _un1 = _un10 >> H_EXP; \
+ _un0 = _un10 & LO_MASK; \
+ _q1 = _un32/_vn1; \
+ _rh = _un32 - _q1*_vn1; \
+ while ((_q1 >= (DCONST(1)<<H_EXP))||(_q1*_vn0 > (_rh<<H_EXP)+_un1)) { \
+ _q1--; \
+ _rh += _vn1; \
+ if (_rh >= (DCONST(1)<<H_EXP)) break; \
+ } \
+ _un21 = (_un32<<H_EXP) + _un1 - _q1*_b; \
+ _q0 = _un21/_vn1; \
+ _rh = _un21 - _q0*_vn1; \
+ while ((_q0 >= (DCONST(1)<<H_EXP))||(_q0*_vn0 > ((_rh<<H_EXP)+_un0))) { \
+ _q0--; \
+ _rh += _vn1; \
+ if (_rh >= (DCONST(1)<<H_EXP)) break; \
+ } \
+ r = ((_un21<<H_EXP) + _un0 - _q0*_b) >> _s; \
+ q = (_q1<<H_EXP) + _q0; \
+ } while(0)
+
+/* divide any a=(a1*B + a0) with b */
+#define DDIVREM2(a1,a0,b,q1,q0,r) do { \
+ ErtsDigit __a1 = (a1); \
+ ErtsDigit __b = (b); \
+ q1 = __a1 / __b; \
+ DDIVREM(__a1 % __b, (a0), __b, q0, r); \
+ } while(0)
+
+
+/* Calculate q = (a1B + a0) % b */
+#define DREM(a1,a0,b,r) do { \
+ ErtsDigit __a1 = (a1); \
+ ErtsDigit __b = (b); \
+ ErtsDigit __q0; \
+ DDIVREM((__a1 % __b), (a0), __b, __q0, r); \
+ } while(0)
+
+#define DDIV(a1,a0,b,q) do { \
+ ErtsDigit _tmp; \
+ DDIVREM(a1,a0,b,q,_tmp); \
+ } while(0)
+
+
+/* Calculate q, r A = Bq+R when, assume A1 >= B */
+#if (SIZEOF_VOID_P == 8)
+#define QUOT_LIM 0x7FFFFFFFFFFFFFFF
+#else
+#define QUOT_LIM 0x7FFFFFFF
+#endif
+
+#define D2DIVREM(a1,a0,b1,b0,q0,r1,r0) do { \
+ ErtsDigit _a1 = (a1); \
+ ErtsDigit _a0 = (a0); \
+ ErtsDigit _b1 = (b1); \
+ ErtsDigit _b0 = (b0); \
+ ErtsDigit _q = 0; \
+ int _as = 1; \
+ while(D2GTE(_a1,_a0,_b1,_b0)) { \
+ ErtsDigit _q1; \
+ ErtsDigit _t2=0, _t1, _t0; \
+ if ((_b1 == 1) && (_a1 > 1)) \
+ _q1 = _a1 / 2; \
+ else if ((_a1 > QUOT_LIM) && (_b1 < _a1)) \
+ _q1 = _a1/(_b1+1); \
+ else \
+ _q1 = _a1/_b1; \
+ if (_as<0) \
+ _q -= _q1; \
+ else \
+ _q += _q1; \
+ D2MULc(_q1, _b1, _b0, _t2, _t1, _t0); \
+ ASSERT(_t2 == 0); \
+ if (D2GT(_t1,_t0,_a1,_a0)) { \
+ D2SUB(_t1,_t0,_a1,_a0,_a1,_a0); \
+ _as = -_as; \
+ } \
+ else { \
+ D2SUB(_a1,_a0,_t1,_t0,_a1,_a0); \
+ } \
+ } \
+ if (_as < 0) { \
+ _q--; \
+ D2SUB(_b1,_b0,_a1,_a0,_a1,_a0); \
+ } \
+ q0 = _q; \
+ r1 = _a1; \
+ r0 = _a0; \
+ } while(0)
+
+
+/* Calculate q, r A = Bq+R when assume B>0 */
+#define D2DIVREM_0(a1,a0,b1,b0,q1,q0,r1,r0) do { \
+ ErtsDigit _a1 = (a1); \
+ ErtsDigit _a0 = (a0); \
+ ErtsDigit _b1 = (b1); \
+ ErtsDigit _b0 = (b0); \
+ if (D2EQ(_a1,_a0,0,0)) { \
+ q1 = q0 = 0; \
+ r1 = r0 = 0; \
+ } \
+ else { \
+ ErtsDigit _res1 = 0; \
+ ErtsDigit _res0 = 0; \
+ ErtsDigit _d1 = 0; \
+ ErtsDigit _d0 = 1; \
+ ErtsDigit _e1 = (1 << (D_EXP-1)); \
+ ErtsDigit _e0 = 0; \
+ while(_e1 && !(_a1 & _e1)) \
+ _e1 >>= 1; \
+ if (_e1 == 0) { \
+ _e0 = (1 << (D_EXP-1)); \
+ while(_e0 && !(_a0 & _e0)) \
+ _e0 >>= 1; \
+ } \
+ if (D2GT(_b1,_b0,0,0)) { \
+ while(D2GT(_e1,_e0,_b1,_b0)) { \
+ D2LSHIFT1(_b1,_b0); \
+ D2LSHIFT1(_d1,_d0); \
+ } \
+ } \
+ do { \
+ if (!D2GT(_b1,_b0,_a1,_a0)) { \
+ D2SUB(_a1,_a0, _b1, _b0, _a1, _a0); \
+ D2ADD(_d1,_d0, _res1,_res0, _res1, _res0); \
+ } \
+ D2RSHIFT1(_b1,_b0); \
+ D2RSHIFT1(_d1,_d0); \
+ } while (!D2EQ(_d1,_d0,0,0)); \
+ r1 = _a1; \
+ r0 = _a0; \
+ q1 = _res1; \
+ q0 = _res0; \
+ } \
+ } while(0)
+
+#define DDIV2(a1,a0,b1,b0,q) do { \
+ ErtsDigit _tmp_r1; \
+ ErtsDigit _tmp_r0; \
+ D2DIVREM(a1,a0,b1,b0,q,_tmp_r1,_tmp_r0); \
+ } while(0)
+
+#endif
+
+/*
+** compare two number vectors
+*/
+static int I_comp(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl)
+{
+ if (xl < yl)
+ return -1;
+ else if (xl > yl)
+ return 1;
+ else {
+ if (x == y)
+ return 0;
+ x += (xl-1);
+ y += (yl-1);
+ while((xl > 0) && (*x == *y)) {
+ x--;
+ y--;
+ xl--;
+ }
+ if (xl == 0)
+ return 0;
+ return (*x < *y) ? -1 : 1;
+ }
+}
+
+/*
+** Add digits in x and y and store them in r
+** assumption: (xl >= yl)
+*/
+static dsize_t I_add(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ dsize_t sz = xl;
+ register ErtsDigit yr, xr;
+ register ErtsDigit c = 0;
+
+ ASSERT(xl >= yl);
+
+ xl -= yl;
+ do {
+ xr = *x++ + c;
+ yr = *y++;
+ c = (xr < c);
+ xr = yr + xr;
+ c += (xr < yr);
+ *r++ = xr;
+ } while(--yl);
+
+ while(xl--) {
+ xr = *x++ + c;
+ c = (xr < c);
+ *r++ = xr;
+ }
+ if (c) {
+ *r = 1;
+ return sz+1;
+ }
+ return sz;
+}
+/*
+** Add a digits in v1 and store result in vr
+*/
+static dsize_t D_add(ErtsDigit* x, dsize_t xl, ErtsDigit c, ErtsDigit* r)
+{
+ dsize_t sz = xl;
+ register ErtsDigit xr;
+
+ while(xl--) {
+ xr = *x++ + c;
+ c = (xr < c);
+ *r++ = xr;
+ }
+ if (c) {
+ *r = 1;
+ return sz+1;
+ }
+ return sz;
+}
+
+/*
+** Subtract digits v2 from v1 and store result in v3
+** Assert I_comp(x, xl, y, yl) >= 0
+**
+*/
+static dsize_t I_sub(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ register ErtsDigit yr, xr;
+ register ErtsDigit c = 0;
+
+ ASSERT(I_comp(x, xl, y, yl) >= 0);
+
+ xl -= yl;
+ do {
+ yr = *y++ + c;
+ xr = *x++;
+ c = (yr < c);
+ yr = xr - yr;
+ c += (yr > xr);
+ *r++ = yr;
+ } while(--yl);
+
+ while(xl--) {
+ xr = *x++;
+ yr = xr - c;
+ c = (yr > xr);
+ *r++ = yr;
+ }
+ do {
+ r--;
+ } while(*r == 0 && r != r0);
+
+ return (r - r0) + 1;
+}
+
+/*
+** Subtract digit d from v1 and store result in vr
+*/
+static dsize_t D_sub(ErtsDigit* x, dsize_t xl, ErtsDigit c, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ register ErtsDigit yr, xr;
+
+ ASSERT(I_comp(x, xl, x, 1) >= 0);
+
+ while(xl--) {
+ xr = *x++;
+ yr = xr - c;
+ c = (yr > xr);
+ *r++ = yr;
+ }
+ do {
+ r--;
+ } while(*r == 0 && r != r0);
+
+ return (r - r0) + 1;
+}
+
+/*
+** subtract Z000...0 - y and store result in r, return new size
+*/
+static dsize_t Z_sub(ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ register ErtsDigit yr;
+ register ErtsDigit c = 0;
+
+ while(yl--) {
+ yr = *y++ + c;
+ c = (yr < c);
+ yr = 0 - yr;
+ c += (yr > 0);
+ *r++ = yr;
+ }
+ do {
+ r--;
+ } while(*r == 0 && r != r0);
+ return (r - r0) + 1;
+}
+
+/*
+** Multiply digits in x with digits in y and store in r
+** Assumption: digits in r must be 0 (upto the size of x)
+*/
+static dsize_t I_mul(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ ErtsDigit* rt = r;
+
+ while(xl--) {
+ ErtsDigit cp = 0;
+ ErtsDigit c = 0;
+ dsize_t n = yl;
+ ErtsDigit* yt = y;
+ ErtsDigit d;
+ ErtsDigit p;
+
+ d = *x;
+ x++;
+ rt = r;
+
+ switch(d) {
+ case 0:
+ rt = rt + n;
+ break;
+ case 1:
+ while(n--) {
+ DSUMc(*yt, *rt, c, p);
+ *rt++ = p;
+ yt++;
+ }
+ break;
+ case 2:
+ while(n--) {
+ p = *yt;
+ DSUMc(p, p, cp, p);
+ DSUMc(p, *rt, c, p);
+ *rt++ = p;
+ yt++;
+ }
+ break;
+ default:
+ while(n--) {
+ DMULc(d,*yt, cp, p);
+ DSUMc(p,*rt, c, p);
+ *rt++ = p;
+ yt++;
+ }
+ break;
+ }
+ *rt = c + cp;
+ r++;
+ }
+ if (*rt == 0)
+ return (rt - r0);
+ else
+ return (rt - r0) + 1;
+}
+
+/*
+** Square digits in x store in r (x & r may point into a common area)
+** Assumption: x is destroyed if common area and digits in r are zero
+** to the size of xl+1
+*/
+
+static dsize_t I_sqr(ErtsDigit* x, dsize_t xl, ErtsDigit* r)
+{
+ ErtsDigit d_next = *x;
+ ErtsDigit d;
+ ErtsDigit* r0 = r;
+ ErtsDigit* s = r;
+
+ if ((r + xl) == x) /* "Inline" operation */
+ *x = 0;
+ x++;
+
+ while(xl--) {
+ ErtsDigit* y = x;
+ ErtsDigit y_0 = 0, y_1 = 0, y_2 = 0, y_3 = 0;
+ ErtsDigit b0, b1;
+ ErtsDigit z0, z1, z2;
+ ErtsDigit t;
+ dsize_t y_l = xl;
+
+ s = r;
+ d = d_next;
+ d_next = *x;
+ x++;
+
+ DMUL(d, d, b1, b0);
+ DSUMc(*s, b0, y_3, t);
+ *s++ = t;
+ z1 = b1;
+ while(y_l--) {
+ DMUL(d, *y, b1, b0);
+ y++;
+ DSUMc(b0, b0, y_0, z0);
+ DSUMc(z0, z1, y_2, z2);
+ DSUMc(*s, z2, y_3, t);
+ *s++ = t;
+ DSUMc(b1, b1, y_1, z1);
+ }
+ z0 = y_0;
+ DSUMc(z0, z1, y_2, z2);
+ DSUMc(*s, z2, y_3, t);
+ *s = t;
+ if (xl != 0) {
+ s++;
+ t = (y_1+y_2+y_3);
+ *s = t;
+ r += 2;
+ }
+ else {
+ ASSERT((y_1+y_2+y_3) == 0);
+ }
+ }
+ if (*s == 0)
+ return (s - r0);
+ else
+ return (s - r0) + 1;
+}
+
+
+/*
+** Multiply digits d with digits in x and store in r
+*/
+static dsize_t D_mul(ErtsDigit* x, dsize_t xl, ErtsDigit d, ErtsDigit* r)
+{
+ ErtsDigit c = 0;
+ dsize_t rl = xl;
+ ErtsDigit p;
+
+ switch(d) {
+ case 0:
+ ZERO_DIGITS(r, 1);
+ return 1;
+ case 1:
+ if (x != r)
+ MOVE_DIGITS(r, x, xl);
+ return xl;
+ case 2:
+ while(xl--) {
+ p = *x;
+ DSUMc(p, p, c, p);
+ *r++ = p;
+ x++;
+ }
+ break;
+ default:
+ while(xl--) {
+ DMULc(d, *x, c, p);
+ *r++ = p;
+ x++;
+ }
+ break;
+ }
+ if (c == 0)
+ return rl;
+ *r = c;
+ return rl+1;
+}
+
+/*
+** Multiply and subtract
+** calculate r(i) = x(i) - d*y(i)
+** assumption: xl = yl || xl == yl+1
+**
+** Return size of r
+** 0 means borrow
+*/
+static dsize_t D_mulsub(ErtsDigit* x, dsize_t xl, ErtsDigit d,
+ ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ ErtsDigit c = 0;
+ ErtsDigit b = 0;
+ ErtsDigit c0;
+ ErtsDigit* r0 = r;
+ ErtsDigit s;
+
+ ASSERT(xl == yl || xl == yl+1);
+
+ xl -= yl;
+ while(yl--) {
+ DMULc(d, *y, c, c0);
+ DSUBb(*x, c0, b, s);
+ *r++ = s;
+ x++;
+ y++;
+ }
+ if (xl == 0) {
+ if (c != 0 || b != 0)
+ return 0;
+ }
+ else { /* xl == 1 */
+ DSUBb(*x, c, b, s);
+ *r++ = s;
+ }
+ if (b != 0) return 0;
+
+ do {
+ r--;
+ } while(*r == 0 && r != r0);
+ return (r - r0) + 1;
+}
+
+/*
+** Divide digits in x with a digit,
+** quotient is returned in q and remainder digit in r
+** x and q may be equal
+*/
+static dsize_t D_div(ErtsDigit* x, dsize_t xl, ErtsDigit d, ErtsDigit* q, ErtsDigit* r)
+{
+ ErtsDigit* xp = x + (xl-1);
+ ErtsDigit* qp = q + (xl-1);
+ dsize_t qsz = xl;
+ ErtsDigit a1;
+
+ a1 = *xp;
+ xp--;
+
+ if (d > a1) {
+ if (xl == 1) {
+ *r = a1;
+ *qp = 0;
+ return 1;
+ }
+ qsz--;
+ qp--;
+ }
+
+ do {
+ ErtsDigit q0, a0, b1, b0, b;
+
+ if (d > a1) {
+ a0 = *xp;
+ xp--;
+ }
+ else {
+ a0 = a1; a1 = 0;
+ }
+ DDIV(a1, a0, d, q0);
+ DMUL(d, q0, b1, b0);
+ DSUB(a0,b0, b, a1);
+ *qp = q0;
+ qp--;
+ } while (xp >= x);
+
+ *r = a1;
+ return qsz;
+}
+
+/*
+** Divide digits in x with digits in y and return qutient in q
+** and remainder in r
+** assume that integer(x) > integer(y)
+** Return remainder in x (length int rl)
+** Return quotient size
+*/
+
+static dsize_t I_div(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl,
+ ErtsDigit* q, ErtsDigit* r, dsize_t* rlp)
+{
+ ErtsDigit* rp;
+ ErtsDigit* qp;
+ ErtsDigit b1 = y[yl-1];
+ ErtsDigit b2 = y[yl-2];
+ ErtsDigit a1;
+ ErtsDigit a2;
+ int r_signed = 0;
+ dsize_t ql;
+ dsize_t rl;
+
+ if (x != r)
+ MOVE_DIGITS(r, x, xl);
+ rp = r + (xl-yl);
+ rl = xl;
+
+ ZERO_DIGITS(q, xl-yl+1);
+ qp = q + (xl-yl);
+ ql = 0;
+
+ /* Adjust length */
+ a1 = rp[yl-1];
+ a2 = rp[yl-2];
+ if (b1 < a1 || (b1 == a1 && b2 <= a2))
+ ql = 1;
+
+ do {
+ ErtsDigit q0;
+ dsize_t nsz = yl;
+ dsize_t nnsz;
+
+ a1 = rp[yl-1];
+ a2 = rp[yl-2];
+
+ if (b1 < a1)
+ DDIV2(a1,a2,b1,b2,q0);
+ else if (b1 > a1) {
+ DDIV(a1,a2,b1,q0);
+ nsz++;
+ rp--;
+ qp--;
+ ql++;
+ }
+ else { /* (b1 == a1) */
+ if (b2 <= a2)
+ q0 = 1;
+ else {
+ q0 = D_MASK;
+ nsz++;
+ rp--;
+ qp--;
+ ql++;
+ }
+ }
+
+ if (r_signed)
+ ql = D_sub(qp, ql, q0, qp);
+ else
+ ql = D_add(qp, ql, q0, qp);
+
+ if ((nnsz = D_mulsub(rp, nsz, q0, y, yl, rp)) == 0) {
+ nnsz = Z_sub(r, rl, r);
+ if (nsz > (rl-nnsz))
+ nnsz = nsz - (rl-nnsz);
+ else
+ nnsz = 1;
+ r_signed = !r_signed;
+ }
+
+ if ((nnsz == 1) && (*rp == 0))
+ nnsz = 0;
+ rp = rp - (yl-nnsz);
+ rl -= (nsz-nnsz);
+ qp = qp - (yl-nnsz);
+ ql += (yl-nnsz);
+ } while (I_comp(r, rl, y, yl) >= 0);
+
+ ql -= (q - qp);
+ qp = q;
+
+ if (rl == 0)
+ rl = 1;
+
+ while(rl > 1 && r[rl-1] == 0) /* Remove "trailing zeroes" */
+ --rl;
+
+ if (r_signed && (rl > 1 || *r != 0)) {
+ rl = I_sub(y, yl, r, rl, r);
+ ql = D_sub(qp, ql, 1, qp);
+ }
+
+ *rlp = rl;
+ return ql;
+}
+
+/*
+** Remainder of digits in x and a digit d
+*/
+static ErtsDigit D_rem(ErtsDigit* x, dsize_t xl, ErtsDigit d)
+{
+ ErtsDigit rem = 0;
+
+ x += (xl-1);
+ do {
+ if (rem != 0)
+ DREM(rem, *x, d, rem);
+ else
+ DREM(0, *x, d, rem);
+ x--;
+ xl--;
+ } while(xl > 0);
+ return rem;
+}
+
+/*
+** Remainder of x and y
+**
+** Assumtions: xl >= yl, yl > 1
+** r must contain at least xl number of digits
+*/
+static dsize_t I_rem(ErtsDigit* x, dsize_t xl, ErtsDigit* y, dsize_t yl, ErtsDigit* r)
+{
+ ErtsDigit* rp;
+ ErtsDigit b1 = y[yl-1];
+ ErtsDigit b2 = y[yl-2];
+ ErtsDigit a1;
+ ErtsDigit a2;
+ int r_signed = 0;
+ dsize_t rl;
+
+ if (x != r)
+ MOVE_DIGITS(r, x, xl);
+ rp = r + (xl-yl);
+ rl = xl;
+
+ do {
+ ErtsDigit q0;
+ dsize_t nsz = yl;
+ dsize_t nnsz;
+
+ a1 = rp[yl-1];
+ a2 = rp[yl-2];
+
+ if (b1 < a1)
+ DDIV2(a1,a2,b1,b2,q0);
+ else if (b1 > a1) {
+ DDIV(a1,a2,b1,q0);
+ nsz++;
+ rp--;
+ }
+ else { /* (b1 == a1) */
+ if (b2 <= a2)
+ q0 = 1;
+ else {
+ q0 = D_MASK;
+ nsz++;
+ rp--;
+ }
+ }
+
+ if ((nnsz = D_mulsub(rp, nsz, q0, y, yl, rp)) == 0) {
+ nnsz = Z_sub(r, rl, r);
+ if (nsz > (rl-nnsz))
+ nnsz = nsz - (rl-nnsz);
+ else
+ nnsz = 1;
+ r_signed = !r_signed;
+ }
+
+ if (nnsz == 1 && *rp == 0)
+ nnsz = 0;
+
+ rp = rp - (yl-nnsz);
+ rl -= (nsz-nnsz);
+ } while (I_comp(r, rl, y, yl) >= 0);
+
+ if (rl == 0)
+ rl = 1;
+
+ while(rl > 1 && r[rl-1] == 0) /* Remove "trailing zeroes" */
+ --rl;
+
+ if (r_signed && (rl > 1 || *r != 0))
+ rl = I_sub(y, yl, r, rl, r);
+ return rl;
+}
+
+/*
+** Remove trailing digits from bitwise operations
+*/
+static dsize_t I_btrail(ErtsDigit* r0, ErtsDigit* r, short sign)
+{
+ /* convert negative numbers to one complement */
+ if (sign) {
+ dsize_t rl;
+ ErtsDigit d;
+
+ /* 1 remove all 0xffff words */
+ do {
+ r--;
+ } while(((d = *r) == D_MASK) && (r != r0));
+
+ /* 2 complement high digit */
+ if (d == D_MASK)
+ *r = 0;
+ else {
+ ErtsDigit prev_mask = 0;
+ ErtsDigit mask = (DCONST(1) << (D_EXP-1));
+
+ while((d & mask) == mask) {
+ prev_mask = mask;
+ mask = (prev_mask >> 1) | (DCONST(1)<<(D_EXP-1));
+ }
+ *r = ~d & ~prev_mask;
+ }
+ rl = (r - r0) + 1;
+ while(r != r0) {
+ r--;
+ *r = ~*r;
+ }
+ return D_add(r0, rl, 1, r0);
+ }
+
+ do {
+ r--;
+ } while(*r == 0 && r != r0);
+ return (r - r0) + 1;
+}
+
+/*
+** Bitwise and
+*/
+static dsize_t I_band(ErtsDigit* x, dsize_t xl, short xsgn,
+ ErtsDigit* y, dsize_t yl, short ysgn, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ short sign = xsgn && ysgn;
+
+ ASSERT(xl >= yl);
+
+ xl -= yl;
+
+ if (!xsgn) {
+ if (!ysgn) {
+ while(yl--)
+ *r++ = *x++ & *y++;
+ }
+ else {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*y,1,b,c);
+ *r++ = *x++ & ~c;
+ y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*y,0,b,c);
+ *r++ = *x++ & ~c;
+ y++;
+ }
+ while (xl--) {
+ *r++ = *x++;
+ }
+ }
+ }
+ else {
+ if (!ysgn) {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*x,1,b,c);
+ *r = ~c & *y;
+ x++; y++; r++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b,c);
+ *r++ = ~c & *y++;
+ x++;
+ }
+ }
+ else {
+ ErtsDigit b1, b2;
+ ErtsDigit c1, c2;
+
+ DSUB(*x,1,b1,c1);
+ DSUB(*y,1,b2,c2);
+ *r++ = ~c1 & ~c2;
+ x++; y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b1,c1);
+ DSUBb(*y,0,b2,c2);
+ *r++ = ~c1 & ~c2;
+ x++; y++;
+ }
+ while(xl--)
+ *r++ = ~*x++;
+ }
+ }
+ return I_btrail(r0, r, sign);
+}
+
+/*
+ * Bitwise 'or'.
+ */
+static dsize_t
+I_bor(ErtsDigit* x, dsize_t xl, short xsgn, ErtsDigit* y,
+ dsize_t yl, short ysgn, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ short sign = xsgn || ysgn;
+
+ ASSERT(xl >= yl);
+
+ xl -= yl;
+
+ if (!xsgn) {
+ if (!ysgn) {
+ while(yl--)
+ *r++ = *x++ | *y++;
+ while(xl--)
+ *r++ = *x++;
+ }
+ else {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*y,1,b,c);
+ *r++ = *x++ | ~c;
+ y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*y,0,b,c);
+ *r++ = *x++ | ~c;
+ y++;
+ }
+ }
+ }
+ else {
+ if (!ysgn) {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*x,1,b,c);
+ *r++ = ~c | *y++;
+ x++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b,c);
+ *r++ = ~c | *y++;
+ x++;
+ }
+ while(xl--) {
+ DSUBb(*x,0,b,c);
+ *r++ = ~c;
+ x++;
+ }
+ }
+ else {
+ ErtsDigit b1, b2;
+ ErtsDigit c1, c2;
+
+ DSUB(*x,1,b1,c1);
+ DSUB(*y,1,b2,c2);
+ *r++ = ~c1 | ~c2;
+ x++; y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b1,c1);
+ DSUBb(*y,0,b2,c2);
+ *r++ = ~c1 | ~c2;
+ x++; y++;
+ }
+ }
+ }
+ return I_btrail(r0, r, sign);
+}
+
+/*
+** Bitwise xor
+*/
+static dsize_t I_bxor(ErtsDigit* x, dsize_t xl, short xsgn,
+ ErtsDigit* y, dsize_t yl, short ysgn, ErtsDigit* r)
+{
+ ErtsDigit* r0 = r;
+ short sign = xsgn != ysgn;
+
+ ASSERT(xl >= yl);
+
+ xl -= yl;
+
+ if (!xsgn) {
+ if (!ysgn) {
+ while(yl--)
+ *r++ = *x++ ^ *y++;
+ while(xl--)
+ *r++ = *x++;
+ }
+ else {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*y,1,b,c);
+ *r++ = *x++ ^ ~c;
+ y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*y,0,b,c);
+ *r++ = *x++ ^ ~c;
+ y++;
+ }
+ while(xl--)
+ *r++ = ~*x++;
+ }
+ }
+ else {
+ if (!ysgn) {
+ ErtsDigit b;
+ ErtsDigit c;
+
+ DSUB(*x,1,b,c);
+ *r++ = ~c ^ *y++;
+ x++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b,c);
+ *r++ = ~c ^ *y++;
+ x++;
+ }
+ while(xl--)
+ *r++ = ~*x++;
+ }
+ else {
+ ErtsDigit b1, b2;
+ ErtsDigit c1, c2;
+
+ DSUB(*x,1,b1,c1);
+ DSUB(*y,1,b2,c2);
+ *r++ = ~c1 ^ ~c2;
+ x++; y++;
+ yl--;
+ while(yl--) {
+ DSUBb(*x,0,b1,c1);
+ DSUBb(*y,0,b2,c2);
+ *r++ = ~c1 ^ ~c2;
+ x++; y++;
+ }
+ while(xl--) {
+ *r++ = *x++;
+ }
+ }
+ }
+ return I_btrail(r0, r, sign);
+}
+
+/*
+** Bitwise not simulated as
+** bnot -X == (X - 1)
+** bnot +X == -(X + 1)
+*/
+static dsize_t I_bnot(ErtsDigit* x, dsize_t xl, short xsgn, ErtsDigit* r)
+{
+ if (xsgn)
+ return D_add(x, xl, 1, r);
+ else
+ return D_sub(x, xl, 1, r);
+}
+
+/*
+** Arithmetic left shift or right
+*/
+static dsize_t I_lshift(ErtsDigit* x, dsize_t xl, Sint y,
+ short sign, ErtsDigit* r)
+{
+ if (y == 0) {
+ MOVE_DIGITS(r, x, xl);
+ return xl;
+ }
+ else if (xl == 1 && *x == 0) {
+ *r = 0;
+ return 1;
+ }
+ else {
+ long ay = (y < 0) ? -y : y;
+ int bw = ay / D_EXP;
+ int sw = ay % D_EXP;
+ dsize_t rl;
+ ErtsDigit a1=0;
+ ErtsDigit a0=0;
+
+ if (y > 0) { /* shift left */
+ rl = xl + bw + 1;
+
+ while(bw--)
+ *r++ = 0;
+ if (sw) { // NOTE! x >> 32 is not = 0!
+ while(xl--) {
+ a0 = (*x << sw) | a1;
+ a1 = (*x >> (D_EXP - sw));
+ *r++ = a0;
+ x++;
+ }
+ }
+ else {
+ while(xl--) {
+ *r++ = *x++;
+ }
+ }
+ if (a1 == 0)
+ return rl-1;
+ *r = a1;
+ return rl;
+ }
+ else { /* shift right */
+ ErtsDigit* r0 = r;
+ int add_one = 0;
+
+ if (xl <= bw) {
+ if (sign)
+ *r = 1;
+ else
+ *r = 0;
+ return 1;
+ }
+
+ if (sign) {
+ int zl = bw;
+ ErtsDigit* z = x;
+
+ while(zl--) {
+ if (*z != 0) {
+ add_one = 1;
+ break;
+ }
+ z++;
+ }
+ }
+
+ rl = xl - bw;
+ x += (xl-1);
+ r += (rl-1);
+ xl -= bw;
+ if (sw) { // NOTE! x >> 32 is not = 0!
+ while(xl--) {
+ a1 = (*x >> sw) | a0;
+ a0 = (*x << (D_EXP-sw));
+ *r-- = a1;
+ x--;
+ }
+ }
+ else {
+ while(xl--) {
+ *r-- = *x--;
+ }
+ }
+
+ if (sign && (a0 != 0))
+ add_one = 1;
+
+ if (r[rl] == 0) {
+ if (rl == 1) {
+ if (sign)
+ r[1] = 1;
+ return 1;
+ }
+ rl--;
+ }
+ if (add_one)
+ return D_add(r0, rl, 1, r0);
+ return rl;
+ }
+ }
+}
+
+/*
+** Return log(x)/log(2)
+*/
+static int I_lg(ErtsDigit* x, dsize_t xl)
+{
+ dsize_t sz = xl - 1;
+ ErtsDigit d = x[sz];
+
+ sz *= D_EXP;
+ while(d != 0) {
+ d >>= 1;
+ sz++;
+ }
+ return sz - 1;
+}
+
+/*
+** Create bigint on heap if necessary. Like the previously existing
+** make_small_or_big(), except for a HAlloc() instead of an
+** ArithAlloc().
+** NOTE: Only use erts_make_integer(), when order of heap fragments is
+** guaranteed to be correct.
+*/
+Eterm
+erts_make_integer(Uint x, Process *p)
+{
+ Eterm* hp;
+ if (IS_USMALL(0,x))
+ return make_small(x);
+ else {
+ hp = HAlloc(p, BIG_UINT_HEAP_SIZE);
+ return uint_to_big(x,hp);
+ }
+}
+
+/*
+** convert Uint to bigint
+** (must only be used if x is to big to be stored as a small)
+*/
+Eterm uint_to_big(Uint x, Eterm *y)
+{
+ *y = make_pos_bignum_header(1);
+ BIG_DIGIT(y, 0) = x;
+ return make_big(y);
+}
+
+
+/*
+** convert signed int to bigint
+*/
+Eterm small_to_big(Sint x, Eterm *y)
+{
+ if (x >= 0) {
+ *y = make_pos_bignum_header(1);
+ } else {
+ x = -x;
+ *y = make_neg_bignum_header(1);
+ }
+ BIG_DIGIT(y, 0) = x;
+ return make_big(y);
+}
+
+
+Eterm erts_uint64_to_big(Uint64 x, Eterm **hpp)
+{
+ Eterm *hp = *hpp;
+#ifdef ARCH_32
+ if (x >= (((Uint64) 1) << 32)) {
+ *hp = make_pos_bignum_header(2);
+ BIG_DIGIT(hp, 0) = (Uint) (x & ((Uint) 0xffffffff));
+ BIG_DIGIT(hp, 1) = (Uint) ((x >> 32) & ((Uint) 0xffffffff));
+ *hpp += 2;
+ }
+ else
+#endif
+ {
+ *hp = make_pos_bignum_header(1);
+ BIG_DIGIT(hp, 0) = (Uint) x;
+ *hpp += 1;
+ }
+ return make_big(hp);
+}
+
+Eterm erts_sint64_to_big(Sint64 x, Eterm **hpp)
+{
+ Eterm *hp = *hpp;
+ int neg;
+ if (x >= 0)
+ neg = 0;
+ else {
+ neg = 1;
+ x = -x;
+ }
+#ifdef ARCH_32
+ if (x >= (((Uint64) 1) << 32)) {
+ if (neg)
+ *hp = make_neg_bignum_header(2);
+ else
+ *hp = make_pos_bignum_header(2);
+ BIG_DIGIT(hp, 0) = (Uint) (x & ((Uint) 0xffffffff));
+ BIG_DIGIT(hp, 1) = (Uint) ((x >> 32) & ((Uint) 0xffffffff));
+ *hpp += 2;
+ }
+ else
+#endif
+ {
+ if (neg)
+ *hp = make_neg_bignum_header(1);
+ else
+ *hp = make_pos_bignum_header(1);
+ BIG_DIGIT(hp, 0) = (Uint) x;
+ *hpp += 1;
+ }
+ return make_big(hp);
+}
+
+/*
+** Convert a bignum to a double float
+*/
+int
+big_to_double(Eterm x, double* resp)
+{
+ double d = 0.0;
+ Eterm* xp = big_val(x);
+ dsize_t xl = BIG_SIZE(xp);
+ ErtsDigit* s = BIG_V(xp) + xl;
+ short xsgn = BIG_SIGN(xp);
+ double dbase = ((double)(D_MASK)+1);
+#ifndef NO_FPE_SIGNALS
+ volatile unsigned long *fpexnp = erts_get_current_fp_exception();
+#endif
+ __ERTS_SAVE_FP_EXCEPTION(fpexnp);
+
+ __ERTS_FP_CHECK_INIT(fpexnp);
+ while (xl--) {
+ d = d * dbase + *--s;
+
+ __ERTS_FP_ERROR(fpexnp, d, __ERTS_RESTORE_FP_EXCEPTION(fpexnp); return -1);
+ }
+
+ *resp = xsgn ? -d : d;
+ __ERTS_FP_ERROR(fpexnp,*resp,;);
+ __ERTS_RESTORE_FP_EXCEPTION(fpexnp);
+ return 0;
+}
+
+
+/*
+ ** Estimate the number of decimal digits (include sign)
+ */
+int big_decimal_estimate(Eterm x)
+{
+ Eterm* xp = big_val(x);
+ int lg = I_lg(BIG_V(xp), BIG_SIZE(xp));
+ int lg10 = ((lg+1)*28/93)+1;
+
+ if (BIG_SIGN(xp)) lg10++; /* add sign */
+ return lg10+1; /* add null */
+}
+
+/*
+** Convert a bignum into a string of decimal numbers
+*/
+
+static void write_big(Eterm x, void (*write_func)(void *, char), void *arg)
+{
+ Eterm* xp = big_val(x);
+ ErtsDigit* dx = BIG_V(xp);
+ dsize_t xl = BIG_SIZE(xp);
+ short sign = BIG_SIGN(xp);
+ ErtsDigit rem;
+
+ if (xl == 1 && *dx < D_DECIMAL_BASE) {
+ rem = *dx;
+ if (rem == 0)
+ (*write_func)(arg, '0');
+ else {
+ while(rem) {
+ (*write_func)(arg, (rem % 10) + '0');
+ rem /= 10;
+ }
+ }
+ }
+ else {
+ ErtsDigit* tmp = (ErtsDigit*) erts_alloc(ERTS_ALC_T_TMP,
+ sizeof(ErtsDigit)*xl);
+ dsize_t tmpl = xl;
+
+ MOVE_DIGITS(tmp, dx, xl);
+
+ while(1) {
+ tmpl = D_div(tmp, tmpl, D_DECIMAL_BASE, tmp, &rem);
+ if (tmpl == 1 && *tmp == 0) {
+ while(rem) {
+ (*write_func)(arg, (rem % 10)+'0');
+ rem /= 10;
+ }
+ break;
+ }
+ else {
+ int i = D_DECIMAL_EXP;
+ while(i--) {
+ (*write_func)(arg, (rem % 10)+'0');
+ rem /= 10;
+ }
+ }
+ }
+ erts_free(ERTS_ALC_T_TMP, (void *) tmp);
+ }
+
+ if (sign)
+ (*write_func)(arg, '-');
+}
+
+struct big_list__ {
+ Eterm *hp;
+ Eterm res;
+};
+
+static void
+write_list(void *arg, char c)
+{
+ struct big_list__ *blp = (struct big_list__ *) arg;
+ blp->res = CONS(blp->hp, make_small(c), blp->res);
+ blp->hp += 2;
+}
+
+Eterm erts_big_to_list(Eterm x, Eterm **hpp)
+{
+ struct big_list__ bl;
+ bl.hp = *hpp;
+ bl.res = NIL;
+ write_big(x, write_list, (void *) &bl);
+ *hpp = bl.hp;
+ return bl.res;
+}
+
+static void
+write_string(void *arg, char c)
+{
+ *(--(*((char **) arg))) = c;
+}
+
+char *erts_big_to_string(Eterm x, char *buf, Uint buf_sz)
+{
+ char *big_str = buf + buf_sz - 1;
+ *big_str = '\0';
+ write_big(x, write_string, (void *) &big_str);
+ ASSERT(buf <= big_str && big_str <= buf + buf_sz - 1);
+ return big_str;
+}
+
+/*
+** Normalize a bignum given thing pointer length in digits and a sign
+** patch zero if odd length
+*/
+static Eterm big_norm(Eterm *x, dsize_t xl, short sign)
+{
+ Uint arity;
+
+ if (xl == 1) {
+ Uint y = BIG_DIGIT(x, 0);
+
+ if (D_EXP < SMALL_BITS || IS_USMALL(sign, y)) {
+ if (sign)
+ return make_small(-((Sint)y));
+ else
+ return make_small(y);
+ }
+ }
+
+ /* __alpha__: This was fixed */
+ if ((arity = BIG_NEED_SIZE(xl)-1) > BIG_ARITY_MAX)
+ return NIL; /* signal error (too big) */
+
+ if (sign) {
+ *x = make_neg_bignum_header(arity);
+ }
+ else {
+ *x = make_pos_bignum_header(arity);
+ }
+ return make_big(x);
+}
+
+/*
+** Compare bignums
+*/
+int big_comp(Eterm x, Eterm y)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ if (BIG_SIGN(xp) == BIG_SIGN(yp)) {
+ int c = I_comp(BIG_V(xp), BIG_SIZE(xp), BIG_V(yp), BIG_SIZE(yp));
+ if (BIG_SIGN(xp))
+ return -c;
+ else
+ return c;
+ }
+ else
+ return BIG_SIGN(xp) ? -1 : 1;
+}
+
+/*
+** Unsigned compare
+*/
+int big_ucomp(Eterm x, Eterm y)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ return I_comp(BIG_V(xp), BIG_SIZE(xp), BIG_V(yp), BIG_SIZE(yp));
+}
+
+/*
+** Return number of bytes in the bignum
+*/
+dsize_t big_bytes(Eterm x)
+{
+ Eterm* xp = big_val(x);
+ dsize_t sz = BIG_SIZE(xp);
+ ErtsDigit d = BIG_DIGIT(xp, sz-1);
+
+ sz = (sz-1) * sizeof(ErtsDigit);
+ while (d != 0) {
+ ++sz;
+ d >>= 8;
+ }
+ return sz;
+}
+
+/*
+** Load a bignum from bytes
+** xsz is the number of bytes in xp
+*/
+Eterm bytes_to_big(byte *xp, dsize_t xsz, int xsgn, Eterm *r)
+{
+ ErtsDigit* rwp = BIG_V(r);
+ dsize_t rsz = 0;
+ ErtsDigit d;
+ int i;
+
+ while(xsz >= sizeof(ErtsDigit)) {
+ d = 0;
+ for(i = sizeof(ErtsDigit); --i >= 0;)
+ d = (d << 8) | xp[i];
+ *rwp = d;
+ rwp++;
+ xsz -= sizeof(ErtsDigit);
+ xp += sizeof(ErtsDigit);
+ rsz++;
+ }
+
+ if (xsz > 0) {
+ d = 0;
+ for(i = xsz; --i >= 0;)
+ d = (d << 8) | xp[i];
+ *rwp = d;
+ rwp++;
+ rsz++;
+ }
+ return big_norm(r, rsz, (short) xsgn);
+}
+
+/*
+** Store digits in the array of bytes pointed to by p
+*/
+byte* big_to_bytes(Eterm x, byte *p)
+{
+ ErtsDigit* xr = big_v(x);
+ dsize_t xl = big_size(x);
+ ErtsDigit d;
+ int i;
+
+ while(xl > 1) {
+ d = *xr;
+ xr++;
+ for(i = 0; i < sizeof(ErtsDigit); ++i) {
+ p[i] = d & 0xff;
+ d >>= 8;
+ }
+ p += sizeof(ErtsDigit);
+ xl--;
+ }
+ d = *xr;
+ do {
+ *p++ = d & 0xff;
+ d >>= 8;
+ } while (d != 0);
+ return p;
+}
+
+/*
+ * Converts a positive term (small or bignum) to an Uint.
+ *
+ * Fails returning 0 if the term is neither a small nor a bignum,
+ * if it's negative, or the big number does not fit in an Uint;
+ * in addition the error reason, BADARG or SYSTEM_LIMIT, will be
+ * stored in *up.
+ *
+ * Otherwise returns a non-zero value and the converted number
+ * in *up.
+ */
+
+int
+term_to_Uint(Eterm term, Uint *up)
+{
+ if (is_small(term)) {
+ Sint i = signed_val(term);
+ if (i < 0) {
+ *up = BADARG;
+ return 0;
+ }
+ *up = (Uint) i;
+ return 1;
+ } else if (is_big(term)) {
+ ErtsDigit* xr = big_v(term);
+ dsize_t xl = big_size(term);
+ Uint uval = 0;
+ int n = 0;
+
+ if (big_sign(term)) {
+ *up = BADARG;
+ return 0;
+ } else if (xl*D_EXP > sizeof(Uint)*8) {
+ *up = SYSTEM_LIMIT;
+ return 0;
+ }
+ while (xl-- > 0) {
+ uval |= ((Uint)(*xr++)) << n;
+ n += D_EXP;
+ }
+ *up = uval;
+ return 1;
+ } else {
+ *up = BADARG;
+ return 0;
+ }
+}
+
+int term_to_Sint(Eterm term, Sint *sp)
+{
+ if (is_small(term)) {
+ *sp = signed_val(term);
+ return 1;
+ } else if (is_big(term)) {
+ ErtsDigit* xr = big_v(term);
+ dsize_t xl = big_size(term);
+ int sign = big_sign(term);
+ Uint uval = 0;
+ int n = 0;
+
+ if (xl*D_EXP > sizeof(Uint)*8) {
+ return 0;
+ }
+ while (xl-- > 0) {
+ uval |= ((Uint)(*xr++)) << n;
+ n += D_EXP;
+ }
+ if (sign) {
+ uval = -uval;
+ if ((Sint)uval > 0)
+ return 0;
+ } else {
+ if ((Sint)uval < 0)
+ return 0;
+ }
+ *sp = uval;
+ return 1;
+ } else {
+ return 0;
+ }
+}
+
+/*
+** Add and subtract
+*/
+static Eterm B_plus_minus(ErtsDigit *x, dsize_t xl, short xsgn,
+ ErtsDigit *y, dsize_t yl, short ysgn, Eterm *r)
+{
+ if (xsgn == ysgn) {
+ if (xl > yl)
+ return big_norm(r, I_add(x,xl,y,yl,BIG_V(r)), xsgn);
+ else
+ return big_norm(r, I_add(y,yl,x,xl,BIG_V(r)), xsgn);
+ }
+ else {
+ int comp = I_comp(x, xl, y, yl);
+ if (comp == 0)
+ return make_small(0);
+ else if (comp > 0)
+ return big_norm(r, I_sub(x,xl,y,yl,BIG_V(r)), xsgn);
+ else
+ return big_norm(r, I_sub(y,yl,x,xl,BIG_V(r)), ysgn);
+ }
+}
+
+/*
+** Add bignums
+*/
+Eterm big_plus(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ return B_plus_minus(BIG_V(xp),BIG_SIZE(xp),(short) BIG_SIGN(xp),
+ BIG_V(yp),BIG_SIZE(yp),(short) BIG_SIGN(yp), r);
+}
+
+/*
+** Subtract bignums
+*/
+
+Eterm big_minus(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ return B_plus_minus(BIG_V(xp),BIG_SIZE(xp),(short) BIG_SIGN(xp),
+ BIG_V(yp),BIG_SIZE(yp),(short) !BIG_SIGN(yp), r);
+}
+
+/*
+** Subtract a digit from big number
+*/
+Eterm big_minus_small(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+
+ if (BIG_SIGN(xp))
+ return big_norm(r, D_add(BIG_V(xp),BIG_SIZE(xp), (ErtsDigit) y, BIG_V(r)),
+ (short) BIG_SIGN(xp));
+ else
+ return big_norm(r, D_sub(BIG_V(xp),BIG_SIZE(xp), (ErtsDigit) y, BIG_V(r)),
+ (short) BIG_SIGN(xp));
+}
+
+/*
+** Multiply smallnums
+*/
+
+Eterm small_times(Sint x, Sint y, Eterm *r)
+{
+ short sign = (x<0) != (y<0);
+ ErtsDigit xu = (x > 0) ? x : -x;
+ ErtsDigit yu = (y > 0) ? y : -y;
+ ErtsDigit d1=0;
+ ErtsDigit d0;
+ Uint arity;
+
+ DMULc(xu, yu, d1, d0);
+
+ if (!d1 && ((D_EXP < SMALL_BITS) || IS_USMALL(sign, d0))) {
+ if (sign)
+ return make_small(-((Sint)d0));
+ else
+ return make_small(d0);
+ }
+
+ BIG_DIGIT(r,0) = d0;
+ arity = d1 ? 2 : 1;
+ if (sign)
+ *r = make_neg_bignum_header(arity);
+ else
+ *r = make_pos_bignum_header(arity);
+ if (d1)
+ BIG_DIGIT(r,1) = d1;
+ return make_big(r);
+}
+
+/*
+** Multiply bignums
+*/
+
+Eterm big_times(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ short sign = BIG_SIGN(xp) != BIG_SIGN(yp);
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+ dsize_t rsz;
+
+ if (ysz == 1)
+ rsz = D_mul(BIG_V(xp), xsz, BIG_DIGIT(yp, 0), BIG_V(r));
+ else if (xsz == 1)
+ rsz = D_mul(BIG_V(yp), ysz, BIG_DIGIT(xp, 0), BIG_V(r));
+ else if (xp == yp) {
+ ZERO_DIGITS(BIG_V(r), xsz+1);
+ rsz = I_sqr(BIG_V(xp), xsz, BIG_V(r));
+ }
+ else if (xsz >= ysz) {
+ ZERO_DIGITS(BIG_V(r), xsz);
+ rsz = I_mul(BIG_V(xp), xsz, BIG_V(yp), ysz, BIG_V(r));
+ }
+ else {
+ ZERO_DIGITS(BIG_V(r), ysz);
+ rsz = I_mul(BIG_V(yp), ysz, BIG_V(xp), xsz, BIG_V(r));
+ }
+ return big_norm(r, rsz, sign);
+}
+
+
+/*
+** Divide bignums
+*/
+
+Eterm big_div(Eterm x, Eterm y, Eterm *q)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ short sign = BIG_SIGN(xp) != BIG_SIGN(yp);
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+ dsize_t qsz;
+
+ if (ysz == 1) {
+ ErtsDigit rem;
+ qsz = D_div(BIG_V(xp), xsz, BIG_DIGIT(yp,0), BIG_V(q), &rem);
+ }
+ else {
+ Eterm* remp;
+ dsize_t rem_sz;
+
+ qsz = xsz - ysz + 1;
+ remp = q + BIG_NEED_SIZE(qsz);
+ qsz = I_div(BIG_V(xp), xsz, BIG_V(yp), ysz, BIG_V(q), BIG_V(remp),
+ &rem_sz);
+ }
+ return big_norm(q, qsz, sign);
+}
+
+/*
+** Remainder
+*/
+Eterm big_rem(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+ short sign = BIG_SIGN(xp);
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+
+ if (ysz == 1) {
+ ErtsDigit rem;
+ rem = D_rem(BIG_V(xp), xsz, BIG_DIGIT(yp,0));
+ if (IS_USMALL(sign, rem)) {
+ if (sign)
+ return make_small(-(Sint)rem);
+ else
+ return make_small(rem);
+ }
+ else {
+ if (sign)
+ *r = make_neg_bignum_header(1);
+ else
+ *r = make_pos_bignum_header(1);
+ BIG_DIGIT(r, 0) = rem;
+ return make_big(r);
+ }
+ }
+ else {
+ dsize_t rsz = I_rem(BIG_V(xp), xsz, BIG_V(yp), ysz, BIG_V(r));
+ return big_norm(r, rsz, sign);
+ }
+}
+
+Eterm big_neg(Eterm x, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ dsize_t xsz = BIG_SIZE(xp);
+ short xsgn = BIG_SIGN(xp);
+
+ MOVE_DIGITS(BIG_V(r), BIG_V(xp), xsz);
+ return big_norm(r, xsz, (short) !xsgn);
+}
+
+Eterm big_band(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+
+ short xsgn = BIG_SIGN(xp);
+ short ysgn = BIG_SIGN(yp);
+ short sign = xsgn && ysgn;
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+
+ if (xsz >= ysz)
+ return big_norm(r,I_band(BIG_V(xp),xsz,xsgn,
+ BIG_V(yp),ysz,ysgn,
+ BIG_V(r)),sign);
+ else
+ return big_norm(r,I_band(BIG_V(yp),ysz,ysgn,
+ BIG_V(xp),xsz,xsgn,
+ BIG_V(r)),sign);
+}
+
+
+Eterm big_bor(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+ short xsgn = BIG_SIGN(xp);
+ short ysgn = BIG_SIGN(yp);
+ short sign = (xsgn || ysgn);
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+
+ if (xsz >= ysz)
+ return big_norm(r,I_bor(BIG_V(xp),xsz,xsgn,
+ BIG_V(yp),ysz,ysgn,
+ BIG_V(r)),sign);
+ else
+ return big_norm(r,I_bor(BIG_V(yp),ysz,ysgn,
+ BIG_V(xp),xsz,xsgn,
+ BIG_V(r)),sign);
+}
+
+
+Eterm big_bxor(Eterm x, Eterm y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ Eterm* yp = big_val(y);
+ short xsgn = BIG_SIGN(xp);
+ short ysgn = BIG_SIGN(yp);
+ short sign = (xsgn != ysgn);
+ dsize_t xsz = BIG_SIZE(xp);
+ dsize_t ysz = BIG_SIZE(yp);
+
+ if (xsz >= ysz)
+ return big_norm(r,I_bxor(BIG_V(xp),xsz,xsgn,
+ BIG_V(yp),ysz,ysgn,
+ BIG_V(r)),sign);
+ else
+ return big_norm(r,I_bxor(BIG_V(yp),ysz,ysgn,
+ BIG_V(xp),xsz,xsgn,
+ BIG_V(r)),sign);
+}
+
+Eterm big_bnot(Eterm x, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ short sign = !BIG_SIGN(xp);
+ dsize_t xsz = BIG_SIZE(xp);
+
+ return big_norm(r, I_bnot(BIG_V(xp), xsz, sign, BIG_V(r)), sign);
+}
+
+Eterm big_lshift(Eterm x, Sint y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+ short sign = BIG_SIGN(xp);
+ dsize_t xsz = BIG_SIZE(xp);
+
+ return big_norm(r, I_lshift(BIG_V(xp), xsz, y, sign, BIG_V(r)), sign);
+}
+
+
+/* add unsigned small int y to x */
+
+Eterm big_plus_small(Eterm x, Uint y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+
+ if (BIG_SIGN(xp))
+ return big_norm(r, D_sub(BIG_V(xp),BIG_SIZE(xp), (ErtsDigit) y,
+ BIG_V(r)), (short) BIG_SIGN(xp));
+ else
+ return big_norm(r, D_add(BIG_V(xp),BIG_SIZE(xp), (ErtsDigit) y,
+ BIG_V(r)), (short) BIG_SIGN(xp));
+}
+
+Eterm big_times_small(Eterm x, Uint y, Eterm *r)
+{
+ Eterm* xp = big_val(x);
+
+ return big_norm(r, D_mul(BIG_V(xp),BIG_SIZE(xp), (ErtsDigit) y,
+ BIG_V(r)), (short) BIG_SIGN(xp));
+}
+
+/*
+** Expects the big to fit.
+*/
+Uint32 big_to_uint32(Eterm b)
+{
+ Uint u;
+ if (!term_to_Uint(b, &u)) {
+ ASSERT(0);
+ return 0;
+ }
+ return u;
+}
+
+/*
+ * Check if a fixnum or bignum equals 2^32.
+ */
+int term_equals_2pow32(Eterm x)
+{
+ if (sizeof(Uint) > 4) {
+ Uint u;
+ if (!term_to_Uint(x, &u))
+ return 0;
+ return (u & 0xFFFFFFFF) == 0 && ((u >> 16) >> 16) == 1;
+ } else {
+ Eterm *bp;
+ if (!is_big(x))
+ return 0;
+ bp = big_val(x);
+#if D_EXP == 16 // 16 bit platfrom not really supported!!!
+ return (BIG_SIZE(bp) == 3) && !BIG_DIGIT(bp,0) && !BIG_DIGIT(bp,1) &&
+ BIG_DIGIT(bp,2) == 1;
+#elif D_EXP == 32
+ return (BIG_SIZE(bp) == 2) && !BIG_DIGIT(bp,0) &&
+ BIG_DIGIT(bp,1) == 1;
+#elif D_EXP == 64
+ return (BIG_SIZE(bp) == 1) &&
+ ((BIG_DIGIT(bp,0) & 0xffffffff) == 0) &&
+ ((BIG_DIGIT(bp,0) >> 32) == 1);
+#endif
+ return 0;
+ }
+}