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fp6 sq

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This commit is contained in:
Dmitry Vagner 2022-11-15 12:17:25 -08:00
parent 56da8c02b0
commit 77820b0f23
1 changed files with 174 additions and 1 deletions
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175
evm/src/cpu/kernel/asm/fields/fp6_mul.asm
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@ -1,3 +1,7 @@
//////////////////////////////////////
///// GENERAL FP6 MULFP254TIPLICATION /////
//////////////////////////////////////
/// inputs:
/// C = C0 + C1t + C2t^2
/// = (c0 + c0_i) + (c1 + c1_i)t + (c2 + c2_i)t^2
@ -258,5 +262,174 @@ global mul_fp6:
JUMP
////////////////////////
///// FP6 SQUARING /////
////////////////////////
/// inputs:
/// C = C0 + C1t + C2t^2
/// = (c0 + c0_i) + (c1 + c1_i)t + (c2 + c2_i)t^2
///
/// output:
/// E = E0 + E1t + E2t^2 = C^2
/// = (e0 + e0_i) + (e1 + e1_i)t + (e2 + e2_i)t^2
///
/// initial stack: c0, c0_, c1, c1_, c2, c2_, retdest
/// final stack: e0, e0_, e1, e1_, e2, e2_
/// computations:
///
/// E0 = C0C0 + i9(2C1C2) = (c0+c0_i)^2 + i9(2(c1+c1_i)(c2+c2_i))
/// = (c0^2 - c0_^2) + (2c0c0_)i + i9[2(c1c2 - c1_c2_) + 2(c1_c2 + c1c2_)i]
///
/// E1 = 2*C0C1 + i9(C2C2) = 2(c0+c0_i)(c1+c1_i) + i9((c2+c2_i)(c2+c2_i))
/// = 2(c0c1 - c0_c1_) + 2(c0c1_ + c0_c1)i + i9[(c2^2 - c2_^2) + (2c2c2_)i]
///
/// E2 = 2*C0C2 + C1C1
/// = 2(c0c2 - c0_c2_) + 2(c0_c2 + c2c0_)i + (c1^2 - c1_^2) + (2c1c1_)i
///
/// e0 = (c0^2 - c0_^2) + x0
/// e0_ = 2c0c0_ + x0_
/// where x0_, x0 = %i9 c1c2 - c1_c2_, c1_c2 + c1c2_
///
/// e1 = 2(c0c1 - c0_c1_) + x1
/// e1_ = 2(c0c1_ + c0_c1) + x1_
/// where x1_, x1 = %i9 c2^2 - c2_^2, 2c2c2_
///
/// e2 = 2(c0c2 - c0_c2_) + (c1^2 - c1_^2)
/// e2_ = 2(c0_c2 + c2c0_) + 2c1c1_
global square_fp6:
/// e0 = (c0^2 - c0_^2) + x0
/// e0_ = 2c0c0_ + x0_
/// where x0_, x0 = %i9 2(c1c2 - c1_c2_), 2(c1_c2 + c1c2_)
DUP6
DUP4
MULFP254
DUP6
DUP6
MULFP254
ADDFP254
PUSH 2
MULFP254
DUP7
DUP6
MULFP254
DUP7
DUP6
MULFP254
SUBFP254
PUSH 2
MULFP254
%i9
// stack: x0_, x0
DUP3
DUP5
MULFP254
PUSH 2
MULFP254
// stack: 2c0c0_, x0_, x0
ADDFP254
// stack: e0_, x0
SWAP4
SWAP1
// stack: x0
DUP4
DUP1
MULFP254
DUP4
DUP1
MULFP254
SUBFP254
// stack: c0^2 - c0_^2, x0
ADDFP254
// stack: e0
SWAP3
/// e1 = 2(c0c1 - c0_c1_) + x1
/// e1_ = 2(c0c1_ + c0_c1 ) + x1_
/// where x1_, x1 = %i9 c2^2 - c2_^2, 2c2c2_
DUP7
DUP9
MULFP254
PUSH 2
MULFP254
DUP9
DUP1
MULFP254
DUP9
DUP1
MULFP254
SUBFP254
%i9
// stack: x1_, x1
DUP4
DUP4
MULFP254
DUP9
DUP7
MULFP254
ADDFP254
PUSH 2
MULFP254
// stack: 2(c0c1_ + c0_c1), x1_, x1
ADDFP254
// stack: e1_, x1
SWAP8
SWAP1
// stack: x1
DUP8
DUP4
MULFP254
DUP5
DUP7
MULFP254
SUBFP254
PUSH 2
MULFP254
// stack: 2(c0c1 - c0_c1_), x1
ADDFP254
SWAP7
/// e2 = 2(c0c2 - c0_c2_) + (c1^2 - c1_^2)
/// e2_ = 2(c0_c2 + c2c0_ + c1c1_)
DUP1
DUP1
MULFP254
DUP5
DUP1
MULFP254
SUBFP254
DUP11
DUP5
MULFP254
DUP4
DUP8
MULFP254
SUBFP254
PUSH 2
MULFP254
ADDFP254
// stack: e2
SWAP10
// stack: c2_, c1_, c2, c0_, c1, c0
SWAP4
MULFP254
// stack: c1c1_, c2, c0_, c2_, c0
SWAP2
MULFP254
// stack: c0_c2 , c1c1_, c2_, c0
ADDFP254
// stack: c0_c2 + c1c1_, c2_, c0
SWAP2
MULFP254
// stack: c0c2_ , c0_c2 + c1c1_
ADDFP254
// stack: c0c2_ + c0_c2 + c1c1_
PUSH 2
MULFP254
// stack: e2_
SWAP6
// stack: retdest, e0, e0_, e1, e1_, e2, e2_
JUMP