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refactor/internal (#1216)
* refactor: update import paths in gateway handlers * refactor: remove obsolete devtools Makefile and README * build: optimize build process for improved efficiency * refactor: remove obsolete pkl files related to Matrix and Sonr network configurations * refactor: move embed code to x/dwn/types
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package native
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// IsogenyParams are the parameters needed to map from an isogeny to the main curve
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type IsogenyParams struct {
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XNum [][FieldLimbs]uint64
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XDen [][FieldLimbs]uint64
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YNum [][FieldLimbs]uint64
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YDen [][FieldLimbs]uint64
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}
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// Map from the isogeny curve to the main curve using the parameters
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func (p *IsogenyParams) Map(xIn, yIn *Field) (x, y *Field) {
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var xNum, xDen, yNum, yDen, tv [FieldLimbs]uint64
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var wasInverted int
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xnumL := len(p.XNum)
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xdenL := len(p.XDen)
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ynumL := len(p.YNum)
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ydenL := len(p.YDen)
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degree := 0
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for _, i := range []int{xnumL, xdenL, ynumL, ydenL} {
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if degree < i {
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degree = i
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}
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}
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xs := make([][FieldLimbs]uint64, degree)
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xs[0] = xIn.Params.R // x[0] = x^0
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xs[1] = xIn.Value // x[1] = x^1
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xIn.Arithmetic.Square(&xs[2], &xIn.Value) // x[2] = x^2
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for i := 3; i < degree; i++ {
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// x[i] = x^i
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xIn.Arithmetic.Mul(&xs[i], &xs[i-1], &xIn.Value)
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}
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computeIsoK(&xNum, &xs, &p.XNum, xIn.Arithmetic)
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computeIsoK(&xDen, &xs, &p.XDen, xIn.Arithmetic)
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computeIsoK(&yNum, &xs, &p.YNum, xIn.Arithmetic)
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computeIsoK(&yDen, &xs, &p.YDen, xIn.Arithmetic)
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xIn.Arithmetic.Invert(&wasInverted, &xDen, &xDen)
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x = new(Field).Set(xIn)
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xIn.Arithmetic.Mul(&tv, &xNum, &xDen)
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xIn.Arithmetic.Selectznz(&x.Value, &x.Value, &tv, wasInverted)
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yIn.Arithmetic.Invert(&wasInverted, &yDen, &yDen)
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y = new(Field).Set(yIn)
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yIn.Arithmetic.Mul(&tv, &yNum, &yDen)
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yIn.Arithmetic.Selectznz(&y.Value, &y.Value, &tv, wasInverted)
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yIn.Arithmetic.Mul(&y.Value, &y.Value, &yIn.Value)
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return
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}
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func computeIsoK(out *[FieldLimbs]uint64, xxs, k *[][FieldLimbs]uint64, f FieldArithmetic) {
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var tv [FieldLimbs]uint64
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for i := range *k {
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f.Mul(&tv, &(*xxs)[i], &(*k)[i])
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f.Add(out, out, &tv)
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}
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}
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