gnark-plonky2-verifier/plonk/gates/arithmetic_gate.go
plonk/gates/arithmetic_gate.goRaw
1package gates
2
3import (
4 "fmt"
5 "regexp"
6 "strconv"
7
8 "github.com/consensys/gnark/frontend"
9 gl "github.com/succinctlabs/gnark-plonky2-verifier/goldilocks"
10)
11
12var arithmeticGateRegex = regexp.MustCompile("ArithmeticGate { num_ops: (?P<numOps>[0-9]+) }")
13
14func deserializeArithmeticGate(parameters map[string]string) Gate {
15 // Has the format "ArithmeticGate { num_ops: 10 }"
16
17 numOps, hasNumOps := parameters["numOps"]
18 if !hasNumOps {
19 panic("no num_ops field in ArithmeticGate")
20 }
21
22 numOpsInt, err := strconv.Atoi(numOps)
23 if err != nil {
24 panic("Invalid num_ops field in ArithmeticGate")
25 }
26
27 return NewArithmeticGate(uint64(numOpsInt))
28}
29
30type ArithmeticGate struct {
31 numOps uint64
32}
33
34func NewArithmeticGate(numOps uint64) *ArithmeticGate {
35 return &ArithmeticGate{
36 numOps: numOps,
37 }
38}
39
40func (g *ArithmeticGate) Id() string {
41 return fmt.Sprintf("ArithmeticGate { num_ops: %d }", g.numOps)
42}
43
44func (g *ArithmeticGate) WireIthMultiplicand0(i uint64) uint64 {
45 return 4 * i
46}
47
48func (g *ArithmeticGate) WireIthMultiplicand1(i uint64) uint64 {
49 return 4*i + 1
50}
51
52func (g *ArithmeticGate) WireIthAddend(i uint64) uint64 {
53 return 4*i + 2
54}
55
56func (g *ArithmeticGate) WireIthOutput(i uint64) uint64 {
57 return 4*i + 3
58}
59
60func (g *ArithmeticGate) EvalUnfiltered(
61 api frontend.API,
62 glApi gl.Chip,
63 vars EvaluationVars,
64) []gl.QuadraticExtensionVariable {
65 const0 := vars.localConstants[0]
66 const1 := vars.localConstants[1]
67
68 constraints := []gl.QuadraticExtensionVariable{}
69 for i := uint64(0); i < g.numOps; i++ {
70 multiplicand0 := vars.localWires[g.WireIthMultiplicand0(i)]
71 multiplicand1 := vars.localWires[g.WireIthMultiplicand1(i)]
72 addend := vars.localWires[g.WireIthAddend(i)]
73 output := vars.localWires[g.WireIthOutput(i)]
74
75 computedOutput := glApi.AddExtension(
76 glApi.MulExtension(glApi.MulExtension(multiplicand0, multiplicand1), const0),
77 glApi.MulExtension(addend, const1),
78 )
79
80 constraints = append(constraints, glApi.SubExtension(output, computedOutput))
81 }
82
83 return constraints
84}