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51 lines
1.3 KiB
51 lines
1.3 KiB
package field
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import (
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"github.com/consensys/gnark-crypto/ecc"
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"github.com/consensys/gnark-crypto/field/goldilocks"
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"github.com/consensys/gnark/frontend"
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"github.com/consensys/gnark/std/math/emulated"
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)
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type EmulatedField = emulated.Goldilocks
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type F = emulated.Element[EmulatedField]
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type QuadraticExtension = [2]F
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type Hash = [4]F
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var TEST_CURVE = ecc.BN254
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func NewFieldElement(x uint64) F {
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return emulated.NewElement[EmulatedField](x)
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}
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func NewFieldElementFromString(x string) F {
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return emulated.NewElement[EmulatedField](x)
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}
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func NewFieldAPI(api frontend.API) frontend.API {
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field, err := emulated.NewField[EmulatedField](api)
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if err != nil {
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panic(err)
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}
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return field
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}
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var ONE_F = NewFieldElement(1)
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var ZERO_F = NewFieldElement(0)
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var GOLDILOCKS_MULTIPLICATIVE_GROUP_GENERATOR = goldilocks.NewElement(7)
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var GOLDILOCKS_TWO_ADICITY = uint64(32)
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var GOLDILOCKS_POWER_OF_TWO_GENERATOR = goldilocks.NewElement(1753635133440165772)
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func GoldilocksPrimitiveRootOfUnity(nLog uint64) goldilocks.Element {
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if nLog > GOLDILOCKS_TWO_ADICITY {
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panic("nLog is greater than GOLDILOCKS_TWO_ADICITY")
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}
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res := goldilocks.NewElement(GOLDILOCKS_POWER_OF_TWO_GENERATOR.Uint64())
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for i := 0; i < int(GOLDILOCKS_TWO_ADICITY-nLog); i++ {
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res.Square(&res)
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}
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return res
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}
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