Merge pull request #294 from libtom/deprecate-ex-funs deprecate mp_n_root_ex and mp_expt_d_ex
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diff --git a/bn_deprecated.c b/bn_deprecated.c
index ded71c7..71fa645 100644
--- a/bn_deprecated.c
+++ b/bn_deprecated.c
@@ -191,4 +191,18 @@ mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result)
return s_mp_prime_is_divisible(a, result);
}
#endif
+#ifdef BN_MP_EXPT_D_EX_C
+mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
+{
+ (void)fast;
+ return mp_expt_d(a, b, c);
+}
+#endif
+#ifdef BN_MP_N_ROOT_EX_C
+mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
+{
+ (void)fast;
+ return mp_n_root(a, b, c);
+}
+#endif
#endif
diff --git a/bn_mp_expt_d.c b/bn_mp_expt_d.c
index 41a7cbe..ce471f1 100644
--- a/bn_mp_expt_d.c
+++ b/bn_mp_expt_d.c
@@ -3,10 +3,43 @@
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
-/* wrapper function for mp_expt_d_ex() */
+/* calculate c = a**b using a square-multiply algorithm */
mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c)
{
- return mp_expt_d_ex(a, b, c, 0);
+ mp_err err;
+
+ mp_int g;
+
+ if ((err = mp_init_copy(&g, a)) != MP_OKAY) {
+ return err;
+ }
+
+ /* set initial result */
+ mp_set(c, 1uL);
+
+ while (b > 0u) {
+ /* if the bit is set multiply */
+ if ((b & 1u) != 0u) {
+ if ((err = mp_mul(c, &g, c)) != MP_OKAY) {
+ mp_clear(&g);
+ return err;
+ }
+ }
+
+ /* square */
+ if (b > 1u) {
+ if ((err = mp_sqr(&g, &g)) != MP_OKAY) {
+ mp_clear(&g);
+ return err;
+ }
+ }
+
+ /* shift to next bit */
+ b >>= 1;
+ }
+
+ mp_clear(&g);
+ return MP_OKAY;
}
#endif
diff --git a/bn_mp_expt_d_ex.c b/bn_mp_expt_d_ex.c
deleted file mode 100644
index fdabf84..0000000
--- a/bn_mp_expt_d_ex.c
+++ /dev/null
@@ -1,66 +0,0 @@
-#include "tommath_private.h"
-#ifdef BN_MP_EXPT_D_EX_C
-/* LibTomMath, multiple-precision integer library -- Tom St Denis */
-/* SPDX-License-Identifier: Unlicense */
-
-/* calculate c = a**b using a square-multiply algorithm */
-mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
-{
- mp_err err;
- unsigned int x;
-
- mp_int g;
-
- if ((err = mp_init_copy(&g, a)) != MP_OKAY) {
- return err;
- }
-
- /* set initial result */
- mp_set(c, 1uL);
-
- if (fast != 0) {
- while (b > 0u) {
- /* if the bit is set multiply */
- if ((b & 1u) != 0u) {
- if ((err = mp_mul(c, &g, c)) != MP_OKAY) {
- mp_clear(&g);
- return err;
- }
- }
-
- /* square */
- if (b > 1u) {
- if ((err = mp_sqr(&g, &g)) != MP_OKAY) {
- mp_clear(&g);
- return err;
- }
- }
-
- /* shift to next bit */
- b >>= 1;
- }
- } else {
- for (x = 0; x < (unsigned)MP_DIGIT_BIT; x++) {
- /* square */
- if ((err = mp_sqr(c, c)) != MP_OKAY) {
- mp_clear(&g);
- return err;
- }
-
- /* if the bit is set multiply */
- if ((b & ((mp_digit)1 << (MP_DIGIT_BIT - 1))) != 0u) {
- if ((err = mp_mul(c, &g, c)) != MP_OKAY) {
- mp_clear(&g);
- return err;
- }
- }
-
- /* shift to next bit */
- b <<= 1;
- }
- } /* if ... else */
-
- mp_clear(&g);
- return MP_OKAY;
-}
-#endif
diff --git a/bn_mp_n_root.c b/bn_mp_n_root.c
index 5b5e743..3f959f1 100644
--- a/bn_mp_n_root.c
+++ b/bn_mp_n_root.c
@@ -3,12 +3,168 @@
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
-/* wrapper function for mp_n_root_ex()
- * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a
+/* find the n'th root of an integer
+ *
+ * Result found such that (c)**b <= a and (c+1)**b > a
+ *
+ * This algorithm uses Newton's approximation
+ * x[i+1] = x[i] - f(x[i])/f'(x[i])
+ * which will find the root in log(N) time where
+ * each step involves a fair bit.
*/
mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c)
{
- return mp_n_root_ex(a, b, c, 0);
+ mp_int t1, t2, t3, a_;
+ mp_ord cmp;
+ int ilog2;
+ mp_err err;
+
+ /* input must be positive if b is even */
+ if (((b & 1u) == 0u) && (a->sign == MP_NEG)) {
+ return MP_VAL;
+ }
+
+ if ((err = mp_init_multi(&t1, &t2, &t3, NULL)) != MP_OKAY) {
+ return err;
+ }
+
+ /* if a is negative fudge the sign but keep track */
+ a_ = *a;
+ a_.sign = MP_ZPOS;
+
+ /* Compute seed: 2^(log_2(n)/b + 2)*/
+ ilog2 = mp_count_bits(a);
+
+ /*
+ GCC and clang do not understand the sizeof tests and complain,
+ icc (the Intel compiler) seems to understand, at least it doesn't complain.
+ 2 of 3 say these macros are necessary, so there they are.
+ */
+#if ( !(defined MP_8BIT) && !(defined MP_16BIT) )
+ /*
+ The type of mp_digit might be larger than an int.
+ If "b" is larger than INT_MAX it is also larger than
+ log_2(n) because the bit-length of the "n" is measured
+ with an int and hence the root is always < 2 (two).
+ */
+ if (sizeof(mp_digit) >= sizeof(int)) {
+ if (b > (mp_digit)(INT_MAX/2)) {
+ mp_set(c, 1uL);
+ c->sign = a->sign;
+ err = MP_OKAY;
+ goto LBL_ERR;
+ }
+ }
+#endif
+ /* "b" is smaller than INT_MAX, we can cast safely */
+ if (ilog2 < (int)b) {
+ mp_set(c, 1uL);
+ c->sign = a->sign;
+ err = MP_OKAY;
+ goto LBL_ERR;
+ }
+ ilog2 = ilog2 / ((int)b);
+ if (ilog2 == 0) {
+ mp_set(c, 1uL);
+ c->sign = a->sign;
+ err = MP_OKAY;
+ goto LBL_ERR;
+ }
+ /* Start value must be larger than root */
+ ilog2 += 2;
+ if ((err = mp_2expt(&t2,ilog2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ do {
+ /* t1 = t2 */
+ if ((err = mp_copy(&t2, &t1)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */
+
+ /* t3 = t1**(b-1) */
+ if ((err = mp_expt_d(&t1, b - 1u, &t3)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ /* numerator */
+ /* t2 = t1**b */
+ if ((err = mp_mul(&t3, &t1, &t2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* t2 = t1**b - a */
+ if ((err = mp_sub(&t2, &a_, &t2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* denominator */
+ /* t3 = t1**(b-1) * b */
+ if ((err = mp_mul_d(&t3, b, &t3)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* t3 = (t1**b - a)/(b * t1**(b-1)) */
+ if ((err = mp_div(&t2, &t3, &t3, NULL)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ if ((err = mp_sub(&t1, &t3, &t2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ /*
+ Number of rounds is at most log_2(root). If it is more it
+ got stuck, so break out of the loop and do the rest manually.
+ */
+ if (ilog2-- == 0) {
+ break;
+ }
+ } while (mp_cmp(&t1, &t2) != MP_EQ);
+
+ /* result can be off by a few so check */
+ /* Loop beneath can overshoot by one if found root is smaller than actual root */
+ for (;;) {
+ if ((err = mp_expt_d(&t1, b, &t2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ cmp = mp_cmp(&t2, &a_);
+ if (cmp == MP_EQ) {
+ err = MP_OKAY;
+ goto LBL_ERR;
+ }
+ if (cmp == MP_LT) {
+ if ((err = mp_add_d(&t1, 1uL, &t1)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ } else {
+ break;
+ }
+ }
+ /* correct overshoot from above or from recurrence */
+ for (;;) {
+ if ((err = mp_expt_d(&t1, b, &t2)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ if (mp_cmp(&t2, &a_) == MP_GT) {
+ if ((err = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ } else {
+ break;
+ }
+ }
+
+ /* set the result */
+ mp_exch(&t1, c);
+
+ /* set the sign of the result */
+ c->sign = a->sign;
+
+ err = MP_OKAY;
+
+LBL_ERR:
+ mp_clear_multi(&t1, &t2, &t3, NULL);
+ return err;
}
#endif
diff --git a/bn_mp_n_root_ex.c b/bn_mp_n_root_ex.c
deleted file mode 100644
index a6ddfdb..0000000
--- a/bn_mp_n_root_ex.c
+++ /dev/null
@@ -1,169 +0,0 @@
-#include "tommath_private.h"
-#ifdef BN_MP_N_ROOT_EX_C
-/* LibTomMath, multiple-precision integer library -- Tom St Denis */
-/* SPDX-License-Identifier: Unlicense */
-
-/* find the n'th root of an integer
- *
- * Result found such that (c)**b <= a and (c+1)**b > a
- *
- * This algorithm uses Newton's approximation
- * x[i+1] = x[i] - f(x[i])/f'(x[i])
- * which will find the root in log(N) time where
- * each step involves a fair bit.
- */
-mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
-{
- mp_int t1, t2, t3, a_;
- mp_ord cmp;
- int ilog2;
- mp_err err;
-
- /* input must be positive if b is even */
- if (((b & 1u) == 0u) && (a->sign == MP_NEG)) {
- return MP_VAL;
- }
-
- if ((err = mp_init_multi(&t1, &t2, &t3, NULL)) != MP_OKAY) {
- return err;
- }
-
- /* if a is negative fudge the sign but keep track */
- a_ = *a;
- a_.sign = MP_ZPOS;
-
- /* Compute seed: 2^(log_2(n)/b + 2)*/
- ilog2 = mp_count_bits(a);
-
- /*
- GCC and clang do not understand the sizeof tests and complain,
- icc (the Intel compiler) seems to understand, at least it doesn't complain.
- 2 of 3 say these macros are necessary, so there they are.
- */
-#if ( !(defined MP_8BIT) && !(defined MP_16BIT) )
- /*
- The type of mp_digit might be larger than an int.
- If "b" is larger than INT_MAX it is also larger than
- log_2(n) because the bit-length of the "n" is measured
- with an int and hence the root is always < 2 (two).
- */
- if (sizeof(mp_digit) >= sizeof(int)) {
- if (b > (mp_digit)(INT_MAX/2)) {
- mp_set(c, 1uL);
- c->sign = a->sign;
- err = MP_OKAY;
- goto LBL_ERR;
- }
- }
-#endif
- /* "b" is smaller than INT_MAX, we can cast safely */
- if (ilog2 < (int)b) {
- mp_set(c, 1uL);
- c->sign = a->sign;
- err = MP_OKAY;
- goto LBL_ERR;
- }
- ilog2 = ilog2 / ((int)b);
- if (ilog2 == 0) {
- mp_set(c, 1uL);
- c->sign = a->sign;
- err = MP_OKAY;
- goto LBL_ERR;
- }
- /* Start value must be larger than root */
- ilog2 += 2;
- if ((err = mp_2expt(&t2,ilog2)) != MP_OKAY) {
- goto LBL_ERR;
- }
- do {
- /* t1 = t2 */
- if ((err = mp_copy(&t2, &t1)) != MP_OKAY) {
- goto LBL_ERR;
- }
-
- /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */
-
- /* t3 = t1**(b-1) */
- if ((err = mp_expt_d_ex(&t1, b - 1u, &t3, fast)) != MP_OKAY) {
- goto LBL_ERR;
- }
- /* numerator */
- /* t2 = t1**b */
- if ((err = mp_mul(&t3, &t1, &t2)) != MP_OKAY) {
- goto LBL_ERR;
- }
-
- /* t2 = t1**b - a */
- if ((err = mp_sub(&t2, &a_, &t2)) != MP_OKAY) {
- goto LBL_ERR;
- }
-
- /* denominator */
- /* t3 = t1**(b-1) * b */
- if ((err = mp_mul_d(&t3, b, &t3)) != MP_OKAY) {
- goto LBL_ERR;
- }
-
- /* t3 = (t1**b - a)/(b * t1**(b-1)) */
- if ((err = mp_div(&t2, &t3, &t3, NULL)) != MP_OKAY) {
- goto LBL_ERR;
- }
-
- if ((err = mp_sub(&t1, &t3, &t2)) != MP_OKAY) {
- goto LBL_ERR;
- }
- /*
- Number of rounds is at most log_2(root). If it is more it
- got stuck, so break out of the loop and do the rest manually.
- */
- if (ilog2-- == 0) {
- break;
- }
- } while (mp_cmp(&t1, &t2) != MP_EQ);
-
- /* result can be off by a few so check */
- /* Loop beneath can overshoot by one if found root is smaller than actual root */
- for (;;) {
- if ((err = mp_expt_d_ex(&t1, b, &t2, fast)) != MP_OKAY) {
- goto LBL_ERR;
- }
- cmp = mp_cmp(&t2, &a_);
- if (cmp == MP_EQ) {
- err = MP_OKAY;
- goto LBL_ERR;
- }
- if (cmp == MP_LT) {
- if ((err = mp_add_d(&t1, 1uL, &t1)) != MP_OKAY) {
- goto LBL_ERR;
- }
- } else {
- break;
- }
- }
- /* correct overshoot from above or from recurrence */
- for (;;) {
- if ((err = mp_expt_d_ex(&t1, b, &t2, fast)) != MP_OKAY) {
- goto LBL_ERR;
- }
- if (mp_cmp(&t2, &a_) == MP_GT) {
- if ((err = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) {
- goto LBL_ERR;
- }
- } else {
- break;
- }
- }
-
- /* set the result */
- mp_exch(&t1, c);
-
- /* set the sign of the result */
- c->sign = a->sign;
-
- err = MP_OKAY;
-
-LBL_ERR:
- mp_clear_multi(&t1, &t2, &t3, NULL);
- return err;
-}
-#endif
diff --git a/demo/test.c b/demo/test.c
index 8c67e25..8627bf2 100644
--- a/demo/test.c
+++ b/demo/test.c
@@ -787,8 +787,8 @@ static int test_mp_sqrt(void)
{
int i, n;
- mp_int a, b, c, d;
- if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) {
+ mp_int a, b, c;
+ if (mp_init_multi(&a, &b, &c, NULL)!= MP_OKAY) {
return EXIT_FAILURE;
}
@@ -801,22 +801,17 @@ static int test_mp_sqrt(void)
printf("\nmp_sqrt() error!");
goto LBL_ERR;
}
- mp_n_root_ex(&a, 2uL, &c, 0);
- mp_n_root_ex(&a, 2uL, &d, 1);
- if (mp_cmp_mag(&c, &d) != MP_EQ) {
- printf("\nmp_n_root_ex() bad result!");
- goto LBL_ERR;
- }
+ mp_n_root(&a, 2uL, &c);
if (mp_cmp_mag(&b, &c) != MP_EQ) {
printf("mp_sqrt() bad result!\n");
goto LBL_ERR;
}
}
- mp_clear_multi(&a, &b, &c, &d, NULL);
+ mp_clear_multi(&a, &b, &c, NULL);
return EXIT_SUCCESS;
LBL_ERR:
- mp_clear_multi(&a, &b, &c, &d, NULL);
+ mp_clear_multi(&a, &b, &c, NULL);
return EXIT_FAILURE;
}
diff --git a/doc/bn.tex b/doc/bn.tex
index a183729..36daf8c 100644
--- a/doc/bn.tex
+++ b/doc/bn.tex
@@ -1735,29 +1735,11 @@ int mp_sqrmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d);
\chapter{Exponentiation}
\section{Single Digit Exponentiation}
-\index{mp\_expt\_d\_ex}
-\begin{alltt}
-int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast)
-\end{alltt}
-This function computes $c = a^b$.
-
-With parameter \textit{fast} set to $0$ the old version of the algorithm is used,
-when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used.
-
-The old version uses a simple binary left-to-right algorithm.
-It is faster than repeated multiplications by $a$ for all values of $b$ greater than three.
-
-The new version uses a binary right-to-left algorithm.
-
-The difference between the old and the new version is that the old version always
-executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations
-where $n$ is equal to the position of the highest bit that is set in $b$.
-
\index{mp\_expt\_d}
\begin{alltt}
int mp_expt_d (mp_int * a, mp_digit b, mp_int * c)
\end{alltt}
-mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0).
+This function computes $c = a^b$.
\section{Modular Exponentiation}
\index{mp\_exptmod}
diff --git a/libtommath_VS2008.vcproj b/libtommath_VS2008.vcproj
index 40948e9..6e73c7f 100644
--- a/libtommath_VS2008.vcproj
+++ b/libtommath_VS2008.vcproj
@@ -441,10 +441,6 @@
>
</File>
<File
- RelativePath="bn_mp_expt_d_ex.c"
- >
- </File>
- <File
RelativePath="bn_mp_exptmod.c"
>
</File>
@@ -581,10 +577,6 @@
>
</File>
<File
- RelativePath="bn_mp_n_root_ex.c"
- >
- </File>
- <File
RelativePath="bn_mp_neg.c"
>
</File>
diff --git a/makefile b/makefile
index 74c557c..d7619f2 100644
--- a/makefile
+++ b/makefile
@@ -31,13 +31,13 @@ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp
bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_decr.o \
bn_mp_div.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o \
bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_error_to_string.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o \
-bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o \
-bn_mp_get_double.o bn_mp_grow.o bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o \
-bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o \
-bn_mp_isodd.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
+bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_double.o bn_mp_grow.o \
+bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o \
+bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o bn_mp_isodd.o \
+bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \
-bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \
-bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
+bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_neg.o bn_mp_or.o \
+bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o bn_mp_prime_rabin_miller_trials.o \
bn_mp_prime_rand.o bn_mp_prime_strong_lucas_selfridge.o bn_mp_radix_size.o bn_mp_radix_smap.o \
bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce.o \
diff --git a/makefile.mingw b/makefile.mingw
index 6023ebc..14bc720 100644
--- a/makefile.mingw
+++ b/makefile.mingw
@@ -34,13 +34,13 @@ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp
bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_decr.o \
bn_mp_div.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o \
bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_error_to_string.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o \
-bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o \
-bn_mp_get_double.o bn_mp_grow.o bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o \
-bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o \
-bn_mp_isodd.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
+bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_double.o bn_mp_grow.o \
+bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o \
+bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o bn_mp_isodd.o \
+bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \
-bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \
-bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
+bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_neg.o bn_mp_or.o \
+bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o bn_mp_prime_rabin_miller_trials.o \
bn_mp_prime_rand.o bn_mp_prime_strong_lucas_selfridge.o bn_mp_radix_size.o bn_mp_radix_smap.o \
bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce.o \
diff --git a/makefile.msvc b/makefile.msvc
index ef2b472..2381b17 100644
--- a/makefile.msvc
+++ b/makefile.msvc
@@ -26,13 +26,13 @@ bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi
bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_complement.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_decr.obj \
bn_mp_div.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj \
bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_error_to_string.obj bn_mp_exch.obj bn_mp_export.obj bn_mp_expt_d.obj \
-bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exteuclid.obj bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj \
-bn_mp_get_double.obj bn_mp_grow.obj bn_mp_ilogb.obj bn_mp_import.obj bn_mp_incr.obj bn_mp_init.obj bn_mp_init_copy.obj \
-bn_mp_init_multi.obj bn_mp_init_set.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_is_square.obj bn_mp_iseven.obj \
-bn_mp_isodd.obj bn_mp_kronecker.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod.obj bn_mp_mod_2d.obj bn_mp_mod_d.obj \
+bn_mp_exptmod.obj bn_mp_exteuclid.obj bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_double.obj bn_mp_grow.obj \
+bn_mp_ilogb.obj bn_mp_import.obj bn_mp_incr.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj \
+bn_mp_init_set.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_is_square.obj bn_mp_iseven.obj bn_mp_isodd.obj \
+bn_mp_kronecker.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod.obj bn_mp_mod_2d.obj bn_mp_mod_d.obj \
bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj bn_mp_montgomery_setup.obj bn_mp_mul.obj \
-bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_neg.obj \
-bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_frobenius_underwood.obj bn_mp_prime_is_prime.obj \
+bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_n_root.obj bn_mp_neg.obj bn_mp_or.obj \
+bn_mp_prime_fermat.obj bn_mp_prime_frobenius_underwood.obj bn_mp_prime_is_prime.obj \
bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj bn_mp_prime_rabin_miller_trials.obj \
bn_mp_prime_rand.obj bn_mp_prime_strong_lucas_selfridge.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \
bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce.obj \
diff --git a/makefile.shared b/makefile.shared
index fce7fab..b798371 100644
--- a/makefile.shared
+++ b/makefile.shared
@@ -28,13 +28,13 @@ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp
bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_decr.o \
bn_mp_div.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o \
bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_error_to_string.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o \
-bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o \
-bn_mp_get_double.o bn_mp_grow.o bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o \
-bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o \
-bn_mp_isodd.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
+bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_double.o bn_mp_grow.o \
+bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o \
+bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o bn_mp_isodd.o \
+bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \
-bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \
-bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
+bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_neg.o bn_mp_or.o \
+bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o bn_mp_prime_rabin_miller_trials.o \
bn_mp_prime_rand.o bn_mp_prime_strong_lucas_selfridge.o bn_mp_radix_size.o bn_mp_radix_smap.o \
bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce.o \
diff --git a/makefile.unix b/makefile.unix
index 942e37a..e545565 100644
--- a/makefile.unix
+++ b/makefile.unix
@@ -35,13 +35,13 @@ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp
bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_decr.o \
bn_mp_div.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o \
bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_error_to_string.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o \
-bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o \
-bn_mp_get_double.o bn_mp_grow.o bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o \
-bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o \
-bn_mp_isodd.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
+bn_mp_exptmod.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_double.o bn_mp_grow.o \
+bn_mp_ilogb.o bn_mp_import.o bn_mp_incr.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o \
+bn_mp_init_set.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_is_square.o bn_mp_iseven.o bn_mp_isodd.o \
+bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \
bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \
-bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \
-bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
+bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_neg.o bn_mp_or.o \
+bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_prime.o \
bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o bn_mp_prime_rabin_miller_trials.o \
bn_mp_prime_rand.o bn_mp_prime_strong_lucas_selfridge.o bn_mp_radix_size.o bn_mp_radix_smap.o \
bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce.o \
diff --git a/tommath.h b/tommath.h
index 388de26..8e68c4e 100644
--- a/tommath.h
+++ b/tommath.h
@@ -468,7 +468,7 @@ mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR;
/* c = a**b */
mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
-mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
+MP_DEPRECATED(mp_expt_d) mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
/* c = a mod b, 0 <= c < b */
mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) MP_WUR;
@@ -504,7 +504,7 @@ mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
* returns error if a < 0 and b is even
*/
mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
-mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
+MP_DEPRECATED(mp_n_root_ex) mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
/* special sqrt algo */
mp_err mp_sqrt(const mp_int *arg, mp_int *ret) MP_WUR;
diff --git a/tommath_class.h b/tommath_class.h
index 93d1782..90c27e8 100644
--- a/tommath_class.h
+++ b/tommath_class.h
@@ -42,7 +42,6 @@
# define BN_MP_EXCH_C
# define BN_MP_EXPORT_C
# define BN_MP_EXPT_D_C
-# define BN_MP_EXPT_D_EX_C
# define BN_MP_EXPTMOD_C
# define BN_MP_EXTEUCLID_C
# define BN_MP_FREAD_C
@@ -77,7 +76,6 @@
# define BN_MP_MUL_D_C
# define BN_MP_MULMOD_C
# define BN_MP_N_ROOT_C
-# define BN_MP_N_ROOT_EX_C
# define BN_MP_NEG_C
# define BN_MP_OR_C
# define BN_MP_PRIME_FERMAT_C
@@ -225,6 +223,10 @@
# define BN_MP_GET_LONG_LONG_C
# define BN_MP_PRIME_IS_DIVISIBLE_C
# define BN_S_MP_PRIME_IS_DIVISIBLE_C
+# define BN_MP_EXPT_D_EX_C
+# define BN_MP_EXPT_D_C
+# define BN_MP_N_ROOT_EX_C
+# define BN_MP_N_ROOT_C
#endif
#if defined(BN_MP_2EXPT_C)
@@ -384,10 +386,6 @@
#endif
#if defined(BN_MP_EXPT_D_C)
-# define BN_MP_EXPT_D_EX_C
-#endif
-
-#if defined(BN_MP_EXPT_D_EX_C)
# define BN_MP_INIT_COPY_C
# define BN_MP_SET_C
# define BN_MP_MUL_C
@@ -616,16 +614,12 @@
#endif
#if defined(BN_MP_N_ROOT_C)
-# define BN_MP_N_ROOT_EX_C
-#endif
-
-#if defined(BN_MP_N_ROOT_EX_C)
# define BN_MP_INIT_MULTI_C
# define BN_MP_COUNT_BITS_C
# define BN_MP_SET_C
# define BN_MP_2EXPT_C
# define BN_MP_COPY_C
-# define BN_MP_EXPT_D_EX_C
+# define BN_MP_EXPT_D_C
# define BN_MP_MUL_C
# define BN_MP_SUB_C
# define BN_MP_MUL_D_C