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📄 dtoa.cpp

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#ifdef Pack_32	b = Balloc(k);	b->x[0] = y9;	b->wds = 1;#else	b = Balloc(k+1);	b->x[0] = y9 & 0xffff;	b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;#endif	i = 9;	if (9 < nd0) {		s += 9;		do b = multadd(b, 10, *s++ - '0');			while(++i < nd0);		s++;		}	else		s += 10;	for(; i < nd; i++)		b = multadd(b, 10, *s++ - '0');	return b;	} static inthi0bits#ifdef KR_headers	(x) register ULong x;#else	(register ULong x)#endif{	register int k = 0;	if (!(x & 0xffff0000)) {		k = 16;		x <<= 16;		}	if (!(x & 0xff000000)) {		k += 8;		x <<= 8;		}	if (!(x & 0xf0000000)) {		k += 4;		x <<= 4;		}	if (!(x & 0xc0000000)) {		k += 2;		x <<= 2;		}	if (!(x & 0x80000000)) {		k++;		if (!(x & 0x40000000))			return 32;		}	return k;	} static intlo0bits#ifdef KR_headers	(y) ULong *y;#else	(ULong *y)#endif{	register int k;	register ULong x = *y;	if (x & 7) {		if (x & 1)			return 0;		if (x & 2) {			*y = x >> 1;			return 1;			}		*y = x >> 2;		return 2;		}	k = 0;	if (!(x & 0xffff)) {		k = 16;		x >>= 16;		}	if (!(x & 0xff)) {		k += 8;		x >>= 8;		}	if (!(x & 0xf)) {		k += 4;		x >>= 4;		}	if (!(x & 0x3)) {		k += 2;		x >>= 2;		}	if (!(x & 1)) {		k++;		x >>= 1;		if (!x & 1)			return 32;		}	*y = x;	return k;	} static Bigint *i2b#ifdef KR_headers	(i) int i;#else	(int i)#endif{	Bigint *b;	b = Balloc(1);	b->x[0] = i;	b->wds = 1;	return b;	} static Bigint *mult#ifdef KR_headers	(a, b) Bigint *a, *b;#else	(Bigint *a, Bigint *b)#endif{	Bigint *c;	int k, wa, wb, wc;	ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;	ULong y;#ifdef ULLong	ULLong carry, z;#else	ULong carry, z;#ifdef Pack_32	ULong z2;#endif#endif	if (a->wds < b->wds) {		c = a;		a = b;		b = c;		}	k = a->k;	wa = a->wds;	wb = b->wds;	wc = wa + wb;	if (wc > a->maxwds)		k++;	c = Balloc(k);	for(x = c->x, xa = x + wc; x < xa; x++)		*x = 0;	xa = a->x;	xae = xa + wa;	xb = b->x;	xbe = xb + wb;	xc0 = c->x;#ifdef ULLong	for(; xb < xbe; xc0++) {		if ((y = *xb++)) {			x = xa;			xc = xc0;			carry = 0;			do {				z = *x++ * (ULLong)y + *xc + carry;				carry = z >> 32;				*xc++ = z & FFFFFFFF;				}				while(x < xae);			*xc = carry;			}		}#else#ifdef Pack_32	for(; xb < xbe; xb++, xc0++) {		if (y = *xb & 0xffff) {			x = xa;			xc = xc0;			carry = 0;			do {				z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;				carry = z >> 16;				z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;				carry = z2 >> 16;				Storeinc(xc, z2, z);				}				while(x < xae);			*xc = carry;			}		if (y = *xb >> 16) {			x = xa;			xc = xc0;			carry = 0;			z2 = *xc;			do {				z = (*x & 0xffff) * y + (*xc >> 16) + carry;				carry = z >> 16;				Storeinc(xc, z, z2);				z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;				carry = z2 >> 16;				}				while(x < xae);			*xc = z2;			}		}#else	for(; xb < xbe; xc0++) {		if (y = *xb++) {			x = xa;			xc = xc0;			carry = 0;			do {				z = *x++ * y + *xc + carry;				carry = z >> 16;				*xc++ = z & 0xffff;				}				while(x < xae);			*xc = carry;			}		}#endif#endif	for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;	c->wds = wc;	return c;	} static Bigint *p5s; static Bigint *pow5mult#ifdef KR_headers	(b, k) Bigint *b; int k;#else	(Bigint *b, int k)#endif{	Bigint *b1, *p5, *p51;	int i;	static int p05[3] = { 5, 25, 125 };	if ((i = k & 3))		b = multadd(b, p05[i-1], 0);	if (!(k >>= 2))		return b;	if (!(p5 = p5s)) {		/* first time */#ifdef MULTIPLE_THREADS		ACQUIRE_DTOA_LOCK(1);		if (!(p5 = p5s)) {			p5 = p5s = i2b(625);			p5->next = 0;			}		FREE_DTOA_LOCK(1);#else		p5 = p5s = i2b(625);		p5->next = 0;#endif		}	for(;;) {		if (k & 1) {			b1 = mult(b, p5);			Bfree(b);			b = b1;			}		if (!(k >>= 1))			break;		if (!(p51 = p5->next)) {#ifdef MULTIPLE_THREADS			ACQUIRE_DTOA_LOCK(1);			if (!(p51 = p5->next)) {				p51 = p5->next = mult(p5,p5);				p51->next = 0;				}			FREE_DTOA_LOCK(1);#else			p51 = p5->next = mult(p5,p5);			p51->next = 0;#endif			}		p5 = p51;		}	return b;	} static Bigint *lshift#ifdef KR_headers	(b, k) Bigint *b; int k;#else	(Bigint *b, int k)#endif{	int i, k1, n, n1;	Bigint *b1;	ULong *x, *x1, *xe, z;#ifdef Pack_32	n = k >> 5;#else	n = k >> 4;#endif	k1 = b->k;	n1 = n + b->wds + 1;	for(i = b->maxwds; n1 > i; i <<= 1)		k1++;	b1 = Balloc(k1);	x1 = b1->x;	for(i = 0; i < n; i++)		*x1++ = 0;	x = b->x;	xe = x + b->wds;#ifdef Pack_32	if (k &= 0x1f) {		k1 = 32 - k;		z = 0;		do {			*x1++ = *x << k | z;			z = *x++ >> k1;			}			while(x < xe);		if ((*x1 = z))			++n1;		}#else	if (k &= 0xf) {		k1 = 16 - k;		z = 0;		do {			*x1++ = *x << k  & 0xffff | z;			z = *x++ >> k1;			}			while(x < xe);		if (*x1 = z)			++n1;		}#endif	else do		*x1++ = *x++;		while(x < xe);	b1->wds = n1 - 1;	Bfree(b);	return b1;	} static intcmp#ifdef KR_headers	(a, b) Bigint *a, *b;#else	(Bigint *a, Bigint *b)#endif{	ULong *xa, *xa0, *xb, *xb0;	int i, j;	i = a->wds;	j = b->wds;#ifdef DEBUG	if (i > 1 && !a->x[i-1])		Bug("cmp called with a->x[a->wds-1] == 0");	if (j > 1 && !b->x[j-1])		Bug("cmp called with b->x[b->wds-1] == 0");#endif	if (i -= j)		return i;	xa0 = a->x;	xa = xa0 + j;	xb0 = b->x;	xb = xb0 + j;	for(;;) {		if (*--xa != *--xb)			return *xa < *xb ? -1 : 1;		if (xa <= xa0)			break;		}	return 0;	} static Bigint *diff#ifdef KR_headers	(a, b) Bigint *a, *b;#else	(Bigint *a, Bigint *b)#endif{	Bigint *c;	int i, wa, wb;	ULong *xa, *xae, *xb, *xbe, *xc;#ifdef ULLong	ULLong borrow, y;#else	ULong borrow, y;#ifdef Pack_32	ULong z;#endif#endif	i = cmp(a,b);	if (!i) {		c = Balloc(0);		c->wds = 1;		c->x[0] = 0;		return c;		}	if (i < 0) {		c = a;		a = b;		b = c;		i = 1;		}	else		i = 0;	c = Balloc(a->k);	c->sign = i;	wa = a->wds;	xa = a->x;	xae = xa + wa;	wb = b->wds;	xb = b->x;	xbe = xb + wb;	xc = c->x;	borrow = 0;#ifdef ULLong	do {		y = (ULLong)*xa++ - *xb++ - borrow;		borrow = y >> 32 & (ULong)1;		*xc++ = y & FFFFFFFF;		}		while(xb < xbe);	while(xa < xae) {		y = *xa++ - borrow;		borrow = y >> 32 & (ULong)1;		*xc++ = y & FFFFFFFF;		}#else#ifdef Pack_32	do {		y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;		borrow = (y & 0x10000) >> 16;		z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;		borrow = (z & 0x10000) >> 16;		Storeinc(xc, z, y);		}		while(xb < xbe);	while(xa < xae) {		y = (*xa & 0xffff) - borrow;		borrow = (y & 0x10000) >> 16;		z = (*xa++ >> 16) - borrow;		borrow = (z & 0x10000) >> 16;		Storeinc(xc, z, y);		}#else	do {		y = *xa++ - *xb++ - borrow;		borrow = (y & 0x10000) >> 16;		*xc++ = y & 0xffff;		}		while(xb < xbe);	while(xa < xae) {		y = *xa++ - borrow;		borrow = (y & 0x10000) >> 16;		*xc++ = y & 0xffff;		}#endif#endif	while(!*--xc)		wa--;	c->wds = wa;	return c;	} static doubleulp#ifdef KR_headers	(x) double x;#else	(double x)#endif{	register Long L;	double a;	L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;#ifndef Avoid_Underflow#ifndef Sudden_Underflow	if (L > 0) {#endif#endif#ifdef IBM		L |= Exp_msk1 >> 4;#endif		word0(a) = L;		word1(a) = 0;#ifndef Avoid_Underflow#ifndef Sudden_Underflow		}	else {		L = -L >> Exp_shift;		if (L < Exp_shift) {			word0(a) = 0x80000 >> L;			word1(a) = 0;			}		else {			word0(a) = 0;			L -= Exp_shift;			word1(a) = L >= 31 ? 1 : 1 << 31 - L;			}		}#endif#endif	return dval(a);	} static doubleb2d#ifdef KR_headers	(a, e) Bigint *a; int *e;#else	(Bigint *a, int *e)#endif{	ULong *xa, *xa0, w, y, z;	int k;	double d;#ifdef VAX	ULong d0, d1;#else#define d0 word0(d)#define d1 word1(d)#endif	xa0 = a->x;	xa = xa0 + a->wds;	y = *--xa;#ifdef DEBUG	if (!y) Bug("zero y in b2d");#endif	k = hi0bits(y);	*e = 32 - k;#ifdef Pack_32	if (k < Ebits) {		d0 = Exp_1 | y >> Ebits - k;		w = xa > xa0 ? *--xa : 0;		d1 = y << (32-Ebits) + k | w >> Ebits - k;		goto ret_d;		}	z = xa > xa0 ? *--xa : 0;	if (k -= Ebits) {		d0 = Exp_1 | y << k | z >> 32 - k;		y = xa > xa0 ? *--xa : 0;		d1 = z << k | y >> 32 - k;		}	else {		d0 = Exp_1 | y;		d1 = z;		}#else	if (k < Ebits + 16) {		z = xa > xa0 ? *--xa : 0;		d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;		w = xa > xa0 ? *--xa : 0;		y = xa > xa0 ? *--xa : 0;		d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;		goto ret_d;		}	z = xa > xa0 ? *--xa : 0;	w = xa > xa0 ? *--xa : 0;	k -= Ebits + 16;	d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;	y = xa > xa0 ? *--xa : 0;	d1 = w << k + 16 | y << k;#endif ret_d:#ifdef VAX	word0(d) = d0 >> 16 | d0 << 16;	word1(d) = d1 >> 16 | d1 << 16;#else#undef d0#undef d1#endif	return dval(d);	} static Bigint *d2b#ifdef KR_headers	(d, e, bits) double d; int *e, *bits;#else	(double d, int *e, int *bits)#endif{	Bigint *b;	int de, k;	ULong *x, y, z;#ifndef Sudden_Underflow	int i;#endif#ifdef VAX	ULong d0, d1;	d0 = word0(d) >> 16 | word0(d) << 16;	d1 = word1(d) >> 16 | word1(d) << 16;#else#define d0 word0(d)#define d1 word1(d)#endif#ifdef Pack_32	b = Balloc(1);#else	b = Balloc(2);#endif	x = b->x;	z = d0 & Frac_mask;	d0 &= 0x7fffffff;	/* clear sign bit, which we ignore */#ifdef Sudden_Underflow	de = (int)(d0 >> Exp_shift);#ifndef IBM	z |= Exp_msk11;#endif#else	if ((de = (int)(d0 >> Exp_shift)))		z |= Exp_msk1;#endif

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