Lost accuracy on GMP mpf_add. Where did my numbers disappear?

I summarize two negative floats:

char * lhs = "-2234.6016114467412141";
char * rhs = "-4939600281397002.2812";

According to Perl, using bignum and Math :: BigFloat, the answer

-4939600281399236.8828114467412141

However, according to GMP, using the following code, the answer

-4939600281399236.88281 

Where am I wrong? What happened to the rest of "14467412141"?

#include "stdafx.h"
#include "gmp-static\gmp.h"
#include <stdlib.h>         /* For _MAX_PATH definition */
#include <stdio.h>
#include <malloc.h>
#include <math.h>

#define F(x) mpf_t x; mpf_init( x );

void main(void)
{
    F(f_lhs);
    F(f_rhs);
    F(f_res);

    char * resbuff;

    mp_exp_t exp;

    char * lhs = "-2234.6016114467412141";
    char * rhs = "-4939600281397002.2812";

    int validOp = mpf_set_str( f_lhs, lhs, 10 );
    validOp = mpf_set_str( f_rhs, rhs, 10 );

    mpf_add( f_res, f_lhs, f_rhs );

    resbuff = mpf_get_str( NULL, &exp, 10, 0, f_res );
    printf( "Using mpf_add, %s + %s = %s (exp=%d)\n", lhs, rhs, resbuff, exp );

    free(resbuff);
}

Output Example:

Using mpf_add, -2234.6016114467412141 + -4939600281397002.2812 = -493960028139923688281 (exp=16)

PS I tried to add a call mpf_set_default_precwith more than 64 (default) values, but no effect.

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2 answers

It looks like you are overflowing the 64-bit mantissa. Try to do mpf_get_prec(f_res)to check exactly how you want. If you do not call mpf_set_default_prec(), before initializing any mpf vars (line 1 of the main one).

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. :

mpf_set_default_prec(5*1024)
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