aboutsummaryrefslogtreecommitdiffstats
path: root/src/lib/math/numbertheory/monty_exp.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'src/lib/math/numbertheory/monty_exp.cpp')
-rw-r--r--src/lib/math/numbertheory/monty_exp.cpp77
1 files changed, 77 insertions, 0 deletions
diff --git a/src/lib/math/numbertheory/monty_exp.cpp b/src/lib/math/numbertheory/monty_exp.cpp
index 657686044..6f70ef7c6 100644
--- a/src/lib/math/numbertheory/monty_exp.cpp
+++ b/src/lib/math/numbertheory/monty_exp.cpp
@@ -8,6 +8,7 @@
#include <botan/internal/monty_exp.h>
#include <botan/internal/ct_utils.h>
+#include <botan/internal/rounding.h>
#include <botan/numthry.h>
#include <botan/reducer.h>
#include <botan/monty.h>
@@ -125,5 +126,81 @@ BigInt monty_execute(const Montgomery_Exponentation_State& precomputed_state,
return precomputed_state.exponentiation(k);
}
+BigInt monty_multi_exp(std::shared_ptr<const Montgomery_Params> params_p,
+ const BigInt& x_bn,
+ const BigInt& z1,
+ const BigInt& y_bn,
+ const BigInt& z2)
+ {
+ if(z1.is_negative() || z2.is_negative())
+ throw Invalid_Argument("multi_exponentiate exponents must be positive");
+
+ const size_t z_bits = round_up(std::max(z1.bits(), z2.bits()), 2);
+
+ secure_vector<word> ws;
+
+ const Montgomery_Int one(params_p, params_p->R1(), false);
+ //const Montgomery_Int one(params_p, 1);
+
+ const Montgomery_Int x1(params_p, x_bn);
+ const Montgomery_Int x2 = x1.square(ws);
+ const Montgomery_Int x3 = x2.mul(x1, ws);
+
+ const Montgomery_Int y1(params_p, y_bn);
+ const Montgomery_Int y2 = y1.square(ws);
+ const Montgomery_Int y3 = y2.mul(y1, ws);
+
+ const Montgomery_Int y1x1 = y1.mul(x1, ws);
+ const Montgomery_Int y1x2 = y1.mul(x2, ws);
+ const Montgomery_Int y1x3 = y1.mul(x3, ws);
+
+ const Montgomery_Int y2x1 = y2.mul(x1, ws);
+ const Montgomery_Int y2x2 = y2.mul(x2, ws);
+ const Montgomery_Int y2x3 = y2.mul(x3, ws);
+
+ const Montgomery_Int y3x1 = y3.mul(x1, ws);
+ const Montgomery_Int y3x2 = y3.mul(x2, ws);
+ const Montgomery_Int y3x3 = y3.mul(x3, ws);
+
+ const Montgomery_Int* M[16] = {
+ &one,
+ &x1, // 0001
+ &x2, // 0010
+ &x3, // 0011
+ &y1, // 0100
+ &y1x1,
+ &y1x2,
+ &y1x3,
+ &y2, // 1000
+ &y2x1,
+ &y2x2,
+ &y2x3,
+ &y3, // 1100
+ &y3x1,
+ &y3x2,
+ &y3x3
+ };
+
+ Montgomery_Int H = one;
+
+ for(size_t i = 0; i != z_bits; i += 2)
+ {
+ if(i > 0)
+ {
+ H.square_this(ws);
+ H.square_this(ws);
+ }
+
+ const uint8_t z1_b = z1.get_substring(z_bits - i - 2, 2);
+ const uint8_t z2_b = z2.get_substring(z_bits - i - 2, 2);
+
+ const uint8_t z12 = (4*z2_b) + z1_b;
+
+ H.mul_by(*M[z12], ws);
+ }
+
+ return H.value();
+ }
+
}