diff options
Diffstat (limited to 'src/lib/math/numbertheory/monty_exp.cpp')
-rw-r--r-- | src/lib/math/numbertheory/monty_exp.cpp | 77 |
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(); + } + } |