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authorjan.nijtmans <nijtmans@users.sourceforge.net>2017-09-18 08:31:55 (GMT)
committerjan.nijtmans <nijtmans@users.sourceforge.net>2017-09-18 08:31:55 (GMT)
commita187f65cfd5964971d7ed52f09e18fdbb4bf51cc (patch)
tree6b7bbde03122d1571d4543d10eccfe88610bd680 /libtommath/bn_mp_sqrt.c
parent0faaca01de4e9fa2039c7fdd34f60b138f665249 (diff)
parent30f7e69b182d1267056ee2628a860891f6555aa3 (diff)
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Merge libtommath upstream changes (astyle formatting only). No functional changes. All Tcl-specific modifications are kept.
Diffstat (limited to 'libtommath/bn_mp_sqrt.c')
-rw-r--r--libtommath/bn_mp_sqrt.c164
1 files changed, 83 insertions, 81 deletions
diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c
index ce8bd0e..49a1bd0 100644
--- a/libtommath/bn_mp_sqrt.c
+++ b/libtommath/bn_mp_sqrt.c
@@ -22,120 +22,122 @@
/* this function is less generic than mp_n_root, simpler and faster */
int mp_sqrt(const mp_int *arg, mp_int *ret)
{
- int res;
- mp_int t1,t2;
- int i, j, k;
+ int res;
+ mp_int t1,t2;
+ int i, j, k;
#ifndef NO_FLOATING_POINT
- volatile double d;
- mp_digit dig;
+ volatile double d;
+ mp_digit dig;
#endif
- /* must be positive */
- if (arg->sign == MP_NEG) {
- return MP_VAL;
- }
-
- /* easy out */
- if (mp_iszero(arg) == MP_YES) {
- mp_zero(ret);
- return MP_OKAY;
- }
-
- i = (arg->used / 2) - 1;
- j = 2 * i;
- if ((res = mp_init_size(&t1, i+2)) != MP_OKAY) {
+ /* must be positive */
+ if (arg->sign == MP_NEG) {
+ return MP_VAL;
+ }
+
+ /* easy out */
+ if (mp_iszero(arg) == MP_YES) {
+ mp_zero(ret);
+ return MP_OKAY;
+ }
+
+ i = (arg->used / 2) - 1;
+ j = 2 * i;
+ if ((res = mp_init_size(&t1, i+2)) != MP_OKAY) {
return res;
- }
-
- if ((res = mp_init(&t2)) != MP_OKAY) {
- goto E2;
- }
+ }
- for (k = 0; k < i; ++k) {
+ if ((res = mp_init(&t2)) != MP_OKAY) {
+ goto E2;
+ }
+
+ for (k = 0; k < i; ++k) {
t1.dp[k] = (mp_digit) 0;
- }
-
+ }
+
#ifndef NO_FLOATING_POINT
- /* Estimate the square root using the hardware floating point unit. */
+ /* Estimate the square root using the hardware floating point unit. */
- d = 0.0;
- for (k = arg->used-1; k >= j; --k) {
- d = ldexp(d, DIGIT_BIT) + (double) (arg->dp[k]);
- }
+ d = 0.0;
+ for (k = arg->used-1; k >= j; --k) {
+ d = ldexp(d, DIGIT_BIT) + (double)(arg->dp[k]);
+ }
- /*
- * At this point, d is the nearest floating point number to the most
- * significant 1 or 2 mp_digits of arg. Extract its square root.
- */
-
- d = sqrt(d);
+ /*
+ * At this point, d is the nearest floating point number to the most
+ * significant 1 or 2 mp_digits of arg. Extract its square root.
+ */
- /* dig is the most significant mp_digit of the square root */
+ d = sqrt(d);
- dig = (mp_digit) ldexp(d, -DIGIT_BIT);
+ /* dig is the most significant mp_digit of the square root */
- /*
- * If the most significant digit is nonzero, find the next digit down
- * by subtracting DIGIT_BIT times thie most significant digit.
- * Subtract one from the result so that our initial estimate is always
- * low.
- */
+ dig = (mp_digit) ldexp(d, -DIGIT_BIT);
- if (dig) {
+ /*
+ * If the most significant digit is nonzero, find the next digit down
+ * by subtracting DIGIT_BIT times thie most significant digit.
+ * Subtract one from the result so that our initial estimate is always
+ * low.
+ */
+
+ if (dig) {
t1.used = i+2;
d -= ldexp((double) dig, DIGIT_BIT);
if (d >= 1.0) {
- t1.dp[i+1] = dig;
- t1.dp[i] = ((mp_digit) d) - 1;
+ t1.dp[i+1] = dig;
+ t1.dp[i] = ((mp_digit) d) - 1;
} else {
- t1.dp[i+1] = dig-1;
- t1.dp[i] = MP_DIGIT_MAX;
+ t1.dp[i+1] = dig-1;
+ t1.dp[i] = MP_DIGIT_MAX;
}
- } else {
+ } else {
t1.used = i+1;
t1.dp[i] = ((mp_digit) d) - 1;
- }
+ }
#else
- /* Estimate the square root as having 1 in the most significant place. */
+ /* Estimate the square root as having 1 in the most significant place. */
- t1.used = i + 2;
- t1.dp[i+1] = (mp_digit) 1;
- t1.dp[i] = (mp_digit) 0;
+ t1.used = i + 2;
+ t1.dp[i+1] = (mp_digit) 1;
+ t1.dp[i] = (mp_digit) 0;
#endif
- /* t1 > 0 */
- if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) {
- goto E1;
- }
- if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) {
- goto E1;
- }
- if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) {
- goto E1;
- }
- /* And now t1 > sqrt(arg) */
- do {
- if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) {
+ /* t1 > 0 */
+ if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) {
goto E1;
- }
- if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) {
+ }
+ if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) {
goto E1;
- }
- if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) {
+ }
+ if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) {
goto E1;
- }
- /* t1 >= sqrt(arg) >= t2 at this point */
- } while (mp_cmp_mag(&t1,&t2) == MP_GT);
+ }
+ /* And now t1 > sqrt(arg) */
+ do {
+ if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) {
+ goto E1;
+ }
+ if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) {
+ goto E1;
+ }
+ if ((res = 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);
+ mp_exch(&t1,ret);
-E1: mp_clear(&t2);
-E2: mp_clear(&t1);
- return res;
+E1:
+ mp_clear(&t2);
+E2:
+ mp_clear(&t1);
+ return res;
}
#endif