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kc3-lang/libtommath/bn_mp_sqrt.c

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  • Author : Francois Perrad
    Date : 2019-05-19 17:16:13
    Hash : 8b2daf78
    Message : always use varname err with mp_err

  • bn_mp_sqrt.c
  • #include "tommath_private.h"
    #ifdef BN_MP_SQRT_C
    /* LibTomMath, multiple-precision integer library -- Tom St Denis */
    /* SPDX-License-Identifier: Unlicense */
    
    /* this function is less generic than mp_n_root, simpler and faster */
    mp_err mp_sqrt(const mp_int *arg, mp_int *ret)
    {
       mp_err err;
       mp_int t1, t2;
    
       /* must be positive */
       if (arg->sign == MP_NEG) {
          return MP_VAL;
       }
    
       /* easy out */
       if (MP_IS_ZERO(arg)) {
          mp_zero(ret);
          return MP_OKAY;
       }
    
       if ((err = mp_init_copy(&t1, arg)) != MP_OKAY) {
          return err;
       }
    
       if ((err = mp_init(&t2)) != MP_OKAY) {
          goto E2;
       }
    
       /* First approx. (not very bad for large arg) */
       mp_rshd(&t1, t1.used/2);
    
       /* t1 > 0  */
       if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) {
          goto E1;
       }
       if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) {
          goto E1;
       }
       if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) {
          goto E1;
       }
       /* And now t1 > sqrt(arg) */
       do {
          if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) {
             goto E1;
          }
          if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) {
             goto E1;
          }
          if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) {
             goto E1;
          }
          /* t1 >= sqrt(arg) >= t2 at this point */
       } while (mp_cmp_mag(&t1, &t2) == MP_GT);
    
       mp_exch(&t1, ret);
    
    E1:
       mp_clear(&t2);
    E2:
       mp_clear(&t1);
       return err;
    }
    
    #endif