258 lines
4.4 KiB
C
258 lines
4.4 KiB
C
// Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) All rights reserved.
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// SPDX-License-Identifier: Apache-2.0
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#include <openssl/bn.h>
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#include <string.h>
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#include <openssl/err.h>
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#include <openssl/mem.h>
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#include "internal.h"
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int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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const BIGNUM *tmp;
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int a_neg = a->neg, ret;
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// a + b a+b
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// a + -b a-b
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// -a + b b-a
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// -a + -b -(a+b)
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if (a_neg ^ b->neg) {
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// only one is negative
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if (a_neg) {
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tmp = a;
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a = b;
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b = tmp;
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}
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// we are now a - b
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if (BN_ucmp(a, b) < 0) {
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if (!BN_usub(r, b, a)) {
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return 0;
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}
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r->neg = 1;
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} else {
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if (!BN_usub(r, a, b)) {
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return 0;
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}
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r->neg = 0;
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}
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return 1;
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}
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ret = BN_uadd(r, a, b);
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r->neg = a_neg;
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return ret;
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}
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int bn_uadd_consttime(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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// Widths are public, so we normalize to make |a| the larger one.
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if (a->width < b->width) {
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const BIGNUM *tmp = a;
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a = b;
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b = tmp;
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}
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int max = a->width;
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int min = b->width;
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if (!bn_wexpand(r, max + 1)) {
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return 0;
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}
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r->width = max + 1;
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BN_ULONG carry = bn_add_words(r->d, a->d, b->d, min);
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for (int i = min; i < max; i++) {
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r->d[i] = CRYPTO_addc_w(a->d[i], 0, carry, &carry);
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}
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r->d[max] = carry;
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return 1;
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}
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int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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if (!bn_uadd_consttime(r, a, b)) {
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return 0;
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}
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bn_set_minimal_width(r);
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return 1;
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}
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int BN_add_word(BIGNUM *a, BN_ULONG w) {
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BN_ULONG l;
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int i;
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// degenerate case: w is zero
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if (!w) {
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return 1;
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}
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// degenerate case: a is zero
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if (BN_is_zero(a)) {
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return BN_set_word(a, w);
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}
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// handle 'a' when negative
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if (a->neg) {
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a->neg = 0;
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i = BN_sub_word(a, w);
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if (!BN_is_zero(a)) {
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a->neg = !(a->neg);
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}
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return i;
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}
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for (i = 0; w != 0 && i < a->width; i++) {
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a->d[i] = l = a->d[i] + w;
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w = (w > l) ? 1 : 0;
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}
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if (w && i == a->width) {
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if (!bn_wexpand(a, a->width + 1)) {
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return 0;
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}
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a->width++;
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a->d[i] = w;
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}
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return 1;
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}
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int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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int add = 0, neg = 0;
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const BIGNUM *tmp;
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// a - b a-b
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// a - -b a+b
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// -a - b -(a+b)
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// -a - -b b-a
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if (a->neg) {
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if (b->neg) {
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tmp = a;
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a = b;
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b = tmp;
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} else {
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add = 1;
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neg = 1;
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}
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} else {
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if (b->neg) {
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add = 1;
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neg = 0;
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}
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}
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if (add) {
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if (!BN_uadd(r, a, b)) {
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return 0;
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}
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r->neg = neg;
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return 1;
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}
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if (BN_ucmp(a, b) < 0) {
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if (!BN_usub(r, b, a)) {
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return 0;
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}
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r->neg = 1;
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} else {
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if (!BN_usub(r, a, b)) {
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return 0;
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}
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r->neg = 0;
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}
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return 1;
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}
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int bn_usub_consttime(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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// |b| may have more words than |a| given non-minimal inputs, but all words
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// beyond |a->width| must then be zero.
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int b_width = b->width;
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if (b_width > a->width) {
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if (!bn_fits_in_words(b, a->width)) {
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OPENSSL_PUT_ERROR(BN, BN_R_ARG2_LT_ARG3);
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return 0;
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}
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b_width = a->width;
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}
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if (!bn_wexpand(r, a->width)) {
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return 0;
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}
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BN_ULONG borrow = bn_sub_words(r->d, a->d, b->d, b_width);
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for (int i = b_width; i < a->width; i++) {
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r->d[i] = CRYPTO_subc_w(a->d[i], 0, borrow, &borrow);
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}
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if (borrow) {
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OPENSSL_PUT_ERROR(BN, BN_R_ARG2_LT_ARG3);
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return 0;
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}
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r->width = a->width;
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r->neg = 0;
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return 1;
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}
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int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) {
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if (!bn_usub_consttime(r, a, b)) {
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return 0;
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}
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bn_set_minimal_width(r);
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return 1;
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}
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int BN_sub_word(BIGNUM *a, BN_ULONG w) {
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int i;
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// degenerate case: w is zero
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if (!w) {
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return 1;
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}
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// degenerate case: a is zero
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if (BN_is_zero(a)) {
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i = BN_set_word(a, w);
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if (i != 0) {
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BN_set_negative(a, 1);
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}
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return i;
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}
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// handle 'a' when negative
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if (a->neg) {
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a->neg = 0;
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i = BN_add_word(a, w);
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a->neg = 1;
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return i;
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}
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if ((bn_minimal_width(a) == 1) && (a->d[0] < w)) {
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a->d[0] = w - a->d[0];
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a->neg = 1;
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return 1;
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}
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i = 0;
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for (;;) {
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if (a->d[i] >= w) {
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a->d[i] -= w;
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break;
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} else {
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a->d[i] -= w;
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i++;
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w = 1;
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}
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}
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if ((a->d[i] == 0) && (i == (a->width - 1))) {
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a->width--;
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}
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return 1;
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}
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