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43 lines
934 B
Go
43 lines
934 B
Go
package bn256
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func (e *gfP12) gfP12ExpU(x *gfP12) *gfP12 {
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// The sequence of 10 multiplications and 61 squarings is derived from the
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// following addition chain generated with github.com/mmcloughlin/addchain v0.4.0.
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//
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// _10 = 2*1
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// _100 = 2*_10
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// _101 = 1 + _100
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// _1001 = _100 + _101
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// _1011 = _10 + _1001
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// _1100 = 1 + _1011
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// i56 = (_1100 << 40 + _1011) << 7 + _1011 + _100
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// i69 = (2*(i56 << 4 + _1001) + 1) << 6
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// return 2*(_101 + i69)
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//
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var z = e
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var t0 = new(gfP12)
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var t1 = new(gfP12)
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var t2 = new(gfP12)
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var t3 = new(gfP12)
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t2.SquareNC(x)
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t1.SquareNC(t2)
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z.MulNC(x, t1)
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t0.MulNC(t1, z)
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t2.Mul(t2, t0)
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t3.MulNC(x, t2)
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t3.Squares(t3, 40)
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t3.Mul(t2, t3)
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t3.Squares(t3, 7)
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t2.Mul(t2, t3)
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t1.Mul(t1, t2)
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t1.Squares(t1, 4)
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t0.Mul(t0, t1)
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t0.Square(t0)
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t0.Mul(x, t0)
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t0.Squares(t0, 6)
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z.Mul(z, t0)
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z.Square(z)
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return e
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}
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