Example #1
0
static void
bmul(void)
{
	struct number *a, *b, *r;

	a = pop_number();
	if (a == NULL)
		return;
	b = pop_number();
	if (b == NULL) {
		push_number(a);
		return;
	}

	r = new_number();
	bmul_number(r, a, b, bmachine.scale);

	push_number(r);
	free_number(a);
	free_number(b);
}
Example #2
0
static void
bmul(void)
{
	struct number	*a, *b;
	struct number	*r;

	a = pop_number();
	if (a == NULL) {
		return;
	}
	b = pop_number();
	if (b == NULL) {
		push_number(a);
		return;
	}

	r = new_number();
	bmul_number(r, a, b);

	push_number(r);
	free_number(a);
	free_number(b);
}
Example #3
0
void
printnumber(FILE *f, const struct number *b, u_int base)
{
	struct number	*int_part, *fract_part;
	int		digits;
	char		buf[11];
	size_t		sz;
	int		i;
	struct stack	stack;
	char		*p;

	charcount = 0;
	lastchar = -1;
	if (BN_is_zero(b->number))
		putcharwrap(f, '0');

	int_part = new_number();
	fract_part = new_number();
	fract_part->scale = b->scale;

	if (base <= 16)
		digits = 1;
	else {
		digits = snprintf(buf, sizeof(buf), "%u", base-1);
	}
	split_number(b, int_part->number, fract_part->number);

	i = 0;
	stack_init(&stack);
	while (!BN_is_zero(int_part->number)) {
		BN_ULONG rem = BN_div_word(int_part->number, base);
		stack_pushstring(&stack, get_digit(rem, digits, base));
		i++;
	}
	sz = i;
	if (BN_cmp(b->number, &zero) < 0)
		putcharwrap(f, '-');
	for (i = 0; i < sz; i++) {
		p = stack_popstring(&stack);
		if (base > 16)
			putcharwrap(f, ' ');
		printwrap(f, p);
		free(p);
	}
	stack_clear(&stack);
	if (b->scale > 0) {
		struct number	*num_base;
		BIGNUM		mult, stop;

		putcharwrap(f, '.');
		num_base = new_number();
		BN_set_word(num_base->number, base);
		BN_init(&mult);
		BN_one(&mult);
		BN_init(&stop);
		BN_one(&stop);
		scale_number(&stop, b->scale);

		i = 0;
		while (BN_cmp(&mult, &stop) < 0) {
			u_long	rem;

			if (i && base > 16)
				putcharwrap(f, ' ');
			i = 1;

			bmul_number(fract_part, fract_part, num_base);
			split_number(fract_part, int_part->number, NULL);
			rem = BN_get_word(int_part->number);
			p = get_digit(rem, digits, base);
			int_part->scale = 0;
			normalize(int_part, fract_part->scale);
			BN_sub(fract_part->number, fract_part->number,
			    int_part->number);
			printwrap(f, p);
			free(p);
			BN_mul_word(&mult, base);
		}
		free_number(num_base);
		BN_free(&mult);
		BN_free(&stop);
	}
	flushwrap(f);
	free_number(int_part);
	free_number(fract_part);
}
Example #4
0
static void
bexp(void)
{
	struct number	*a, *p;
	struct number	*r;
	bool		neg;
	u_int		rscale;

	p = pop_number();
	if (p == NULL)
		return;
	a = pop_number();
	if (a == NULL) {
		push_number(p);
		return;
	}

	if (p->scale != 0) {
		BIGNUM *i, *f;
		i = BN_new();
		bn_checkp(i);
		f = BN_new();
		bn_checkp(f);
		split_number(p, i, f);
		if (!BN_is_zero(f))
			warnx("Runtime warning: non-zero fractional part in exponent");
		BN_free(i);
		BN_free(f);
	}

	normalize(p, 0);

	neg = false;
	if (BN_is_negative(p->number)) {
		neg = true;
		negate(p);
		rscale = bmachine.scale;
	} else {
		/* Posix bc says min(a.scale * b, max(a.scale, scale) */
		u_long b;
		u_int m;

		b = BN_get_word(p->number);
		m = max(a->scale, bmachine.scale);
		rscale = a->scale * (u_int)b;
		if (rscale > m || (a->scale > 0 && (b == ULONG_MAX ||
		    b > UINT_MAX)))
			rscale = m;
	}

	if (BN_is_zero(p->number)) {
		r = new_number();
		bn_check(BN_one(r->number));
		normalize(r, rscale);
	} else {
		u_int ascale, mscale;

		ascale = a->scale;
		while (!BN_is_bit_set(p->number, 0)) {
			ascale *= 2;
			bmul_number(a, a, a, ascale);
			bn_check(BN_rshift1(p->number, p->number));
		}

		r = dup_number(a);
		bn_check(BN_rshift1(p->number, p->number));

		mscale = ascale;
		while (!BN_is_zero(p->number)) {
			ascale *= 2;
			bmul_number(a, a, a, ascale);
			if (BN_is_bit_set(p->number, 0)) {
				mscale += ascale;
				bmul_number(r, r, a, mscale);
			}
			bn_check(BN_rshift1(p->number, p->number));
		}

		if (neg) {
			BN_CTX *ctx;
			BIGNUM *one;

			one = BN_new();
			bn_checkp(one);
			bn_check(BN_one(one));
			ctx = BN_CTX_new();
			bn_checkp(ctx);
			scale_number(one, r->scale + rscale);

			if (BN_is_zero(r->number))
				warnx("divide by zero");
			else
				bn_check(BN_div(r->number, NULL, one,
				    r->number, ctx));
			BN_free(one);
			BN_CTX_free(ctx);
			r->scale = rscale;
		} else
			normalize(r, rscale);
	}
	push_number(r);
	free_number(a);
	free_number(p);
}
Example #5
0
static void
bexp(void)
{
	struct number	*a, *p;
	struct number	*r;
	bool		neg;
	u_int		scale;

	p = pop_number();
	if (p == NULL) {
		return;
	}
	a = pop_number();
	if (a == NULL) {
		push_number(p);
		return;
	}

	if (p->scale != 0)
		warnx("Runtime warning: non-zero scale in exponent");
	normalize(p, 0);

	neg = false;
	if (BN_cmp(p->number, &zero) < 0) {
		neg = true;
		negate(p);
		scale = bmachine.scale;
	} else {
		/* Posix bc says min(a.scale * b, max(a.scale, scale) */
		u_long	b;
		u_int	m;

		b = BN_get_word(p->number);
		m = max(a->scale, bmachine.scale);
		scale = a->scale * (u_int)b;
		if (scale > m || (a->scale > 0 && (b == BN_MASK2 ||
		    b > UINT_MAX)))
			scale = m;
	}

	if (BN_is_zero(p->number)) {
		r = new_number();
		bn_check(BN_one(r->number));
		normalize(r, scale);
	} else {
		while (!BN_is_bit_set(p->number, 0)) {
			bmul_number(a, a, a);
			bn_check(BN_rshift1(p->number, p->number));
		}

		r = dup_number(a);
		normalize(r, scale);
		bn_check(BN_rshift1(p->number, p->number));

		while (!BN_is_zero(p->number)) {
			bmul_number(a, a, a);
			if (BN_is_bit_set(p->number, 0))
				bmul_number(r, r, a);
			bn_check(BN_rshift1(p->number, p->number));
		}

		if (neg) {
			BN_CTX	*ctx;
			BIGNUM	*one;

			one = BN_new();
			bn_checkp(one);
			bn_check(BN_one(one));
			ctx = BN_CTX_new();
			bn_checkp(ctx);
			scale_number(one, r->scale + scale);
			normalize(r, scale);
			bn_check(BN_div(r->number, NULL, one, r->number, ctx));
			BN_free(one);
			BN_CTX_free(ctx);
		} else
			normalize(r, scale);
	}
	push_number(r);
	free_number(a);
	free_number(p);
}