diff options
author | lloyd <[email protected]> | 2010-03-16 21:41:40 +0000 |
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committer | lloyd <[email protected]> | 2010-03-16 21:41:40 +0000 |
commit | d42ca2fade9ef3e07bae3b8ca89bdb7efe450145 (patch) | |
tree | 179b5cdd97b19572f57ff01a32a344ba8e94f72c /src/math | |
parent | 6e344d5a1eafe1c428d0baa62188b7a91d7ebe11 (diff) |
Shuffle functions for easier reading
Diffstat (limited to 'src/math')
-rw-r--r-- | src/math/numbertheory/point_gfp.cpp | 146 | ||||
-rw-r--r-- | src/math/numbertheory/point_gfp.h | 3 |
2 files changed, 75 insertions, 74 deletions
diff --git a/src/math/numbertheory/point_gfp.cpp b/src/math/numbertheory/point_gfp.cpp index 5319b3809..d7ad72552 100644 --- a/src/math/numbertheory/point_gfp.cpp +++ b/src/math/numbertheory/point_gfp.cpp @@ -31,6 +31,7 @@ PointGFp::PointGFp(const CurveGFp& curve, const BigInt& x, const BigInt& y) : coord_z = mod_p.reduce(curve.get_r()); } +// Montgomery multiplication void PointGFp::monty_mult(BigInt& z, const BigInt& x, const BigInt& y, MemoryRegion<word>& workspace) const @@ -58,6 +59,7 @@ void PointGFp::monty_mult(BigInt& z, copy_mem(z.get_reg().begin(), &workspace[p_size], p_size); } +// Montgomery squaring void PointGFp::monty_sqr(BigInt& z, const BigInt& x, MemoryRegion<word>& workspace) const { @@ -83,8 +85,8 @@ void PointGFp::monty_sqr(BigInt& z, const BigInt& x, copy_mem(z.get_reg().begin(), &workspace[p_size], p_size); } -void PointGFp::add(const PointGFp& rhs, - Workspace& workspace) +// Point addition +void PointGFp::add(const PointGFp& rhs, Workspace& workspace) { if(is_zero()) { @@ -174,6 +176,76 @@ void PointGFp::add(const PointGFp& rhs, coord_z = z; } +// *this *= 2 +void PointGFp::mult2(Workspace& workspace) + { + if(is_zero()) + return; + else if(coord_y.is_zero()) + { + *this = PointGFp(curve); // setting myself to zero + return; + } + + const BigInt& p = curve.get_p(); + + MemoryRegion<word>& ws = workspace.ws_monty; + std::vector<BigInt>& ws_bn = workspace.ws_bn; + + BigInt& y_2 = ws_bn[0]; + BigInt& S = ws_bn[1]; + BigInt& z4 = ws_bn[2]; + BigInt& a_z4 = ws_bn[3]; + BigInt& M = ws_bn[4]; + BigInt& U = ws_bn[5]; + BigInt& x = ws_bn[6]; + BigInt& y = ws_bn[7]; + BigInt& z = ws_bn[8]; + + monty_sqr(y_2, coord_y, ws); + + monty_mult(S, coord_x, y_2, ws); + S <<= 2; // * 4 + while(S >= p) + S -= p; + + monty_sqr(z4, monty_sqr(coord_z, ws), ws); + monty_mult(a_z4, curve.get_a_r(), z4, ws); + + M = 3 * monty_sqr(coord_x, ws); + M += a_z4; + while(M >= p) + M -= p; + + monty_sqr(x, M, ws); + x -= (S << 1); + while(x.is_negative()) + x += p; + + monty_sqr(U, y_2, ws); + U <<= 3; + while(U >= p) + U -= p; + + S -= x; + while(S.is_negative()) + S += p; + + monty_mult(y, M, S, ws); + y -= U; + if(y.is_negative()) + y += p; + + monty_mult(z, coord_y, coord_z, ws); + z <<= 1; + if(z >= p) + z -= p; + + coord_x = x; + coord_y = y; + coord_z = z; + } + // arithmetic operators PointGFp& PointGFp::operator+=(const PointGFp& rhs) { @@ -270,76 +342,6 @@ PointGFp& PointGFp::operator*=(const BigInt& scalar) return *this; } -// *this *= 2 -void PointGFp::mult2(Workspace& workspace) - { - if(is_zero()) - return; - else if(coord_y.is_zero()) - { - *this = PointGFp(curve); // setting myself to zero - return; - } - - const BigInt& p = curve.get_p(); - - MemoryRegion<word>& ws = workspace.ws_monty; - std::vector<BigInt>& ws_bn = workspace.ws_bn; - - BigInt& y_2 = ws_bn[0]; - BigInt& S = ws_bn[1]; - BigInt& z4 = ws_bn[2]; - BigInt& a_z4 = ws_bn[3]; - BigInt& M = ws_bn[4]; - BigInt& U = ws_bn[5]; - BigInt& x = ws_bn[6]; - BigInt& y = ws_bn[7]; - BigInt& z = ws_bn[8]; - - monty_sqr(y_2, coord_y, ws); - - monty_mult(S, coord_x, y_2, ws); - S <<= 2; // * 4 - while(S >= p) - S -= p; - - monty_sqr(z4, monty_sqr(coord_z, ws), ws); - monty_mult(a_z4, curve.get_a_r(), z4, ws); - - M = 3 * monty_sqr(coord_x, ws); - M += a_z4; - while(M >= p) - M -= p; - - monty_sqr(x, M, ws); - x -= (S << 1); - while(x.is_negative()) - x += p; - - monty_sqr(U, y_2, ws); - U <<= 3; - while(U >= p) - U -= p; - - S -= x; - while(S.is_negative()) - S += p; - - monty_mult(y, M, S, ws); - y -= U; - if(y.is_negative()) - y += p; - - monty_mult(z, coord_y, coord_z, ws); - z <<= 1; - if(z >= p) - z -= p; - - coord_x = x; - coord_y = y; - coord_z = z; - } - BigInt PointGFp::get_affine_x() const { if(is_zero()) diff --git a/src/math/numbertheory/point_gfp.h b/src/math/numbertheory/point_gfp.h index f597990ff..f5e409ca7 100644 --- a/src/math/numbertheory/point_gfp.h +++ b/src/math/numbertheory/point_gfp.h @@ -245,8 +245,7 @@ inline PointGFp operator*(const BigInt& scalar, const PointGFp& point) inline PointGFp operator*(const PointGFp& point, const BigInt& scalar) { - PointGFp result(point); - return result *= scalar; + return scalar * point; } // encoding and decoding |