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bn_mod_barrt out-of-bounds write and hang #222

@guidovranken

Description

@guidovranken

OOB write:

#include <relic_conf.h>
#include <relic.h>

int main(void)
{
    if ( core_init() != RLC_OK ) abort();

    bn_t A, B, tmp, R;

    bn_null(A); bn_new(A);
    bn_null(B); bn_new(B);
    bn_null(tmp); bn_new(tmp);
    bn_null(R); bn_new(R);

    const char* s1 = "200000000000000000000000000000700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000040000000000000000000000000000000000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002000000000000000200000000000000000000000000000000000000000000000000000000000055560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000055550000000000000000000000000000000000000000000000000000000000016777215";
    const char* s2 = "84162174424236059512601364159788552895352108472911307036596759829688884035453236822177423188999761927736478583906391745885484086652739798560985904224480815756330586761129390491742720155379104504686856934612994047";

    bn_read_str(A, s1, strlen(s1), 10);
    bn_read_str(B, s2, strlen(s2), 10);

    bn_mod_pre_barrt(tmp, B);
    bn_mod_barrt(R, A, B, tmp);

    bn_free(A);
    bn_free(B);
    bn_free(tmp);
    bn_free(R);
    return 0;
}

Hang:

#include <relic_conf.h>
#include <relic.h>

int main(void)
{
    if ( core_init() != RLC_OK ) abort();

    bn_t A, B, tmp, R;

    bn_null(A); bn_new(A);
    bn_null(B); bn_new(B);
    bn_null(tmp); bn_new(tmp);
    bn_null(R); bn_new(R);

    const char* s1 = "4294970310326202049000460015989909879453633060701562293387156796399194598269136941390448872924969452176199497282666242143360729695849607970912549583042220383240905462974333263420526777106027569342398349";
    const char* s2 = "720575940379060000";

    bn_read_str(A, s1, strlen(s1), 10);
    bn_read_str(B, s2, strlen(s2), 10);

    bn_mod_pre_barrt(tmp, B);
    bn_mod_barrt(R, A, B, tmp);

    bn_free(A);
    bn_free(B);
    bn_free(tmp);
    bn_free(R);
    return 0;
}

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