fixed the bug in PolyEval

prover/maths/common/smartvectors/arithmetic_basic.go

@@ -117,6 +117,10 @@ func PolyEval(vecs []SmartVector, x field.Element, p ...mempool.MemPool) (result
 			anyReg = true
 			v := *casted
 			accumulateReg(resReg, v, xPow)
+		case *Pooled: // e.g. from product
+			anyReg = true
+			v := casted.Regular
+			accumulateReg(resReg, v, xPow)
 		case *PaddedCircularWindow:
 			// treat it as a regular, reusing the buffer
 			anyReg = true

prover/protocol/compiler/innerproduct/context.go

@@ -91,13 +91,8 @@ func compileForSize(
 			}
 		}
 
-		// @Azam the following function is commented out due to the issue https://github.com/Consensys/linea-monorepo/issues/192
-		// ctx.Collapsed = symbolic.NewPolyEval(batchingCoin.AsVariable(), pairProduct)
-		res := symbolic.NewConstant(0)
-		for i := len(pairProduct) - 1; i >= 0; i-- {
-			res = symbolic.Mul(res, batchingCoin)
-			res = symbolic.Add(res, pairProduct[i])
-		}
+		// random linear combination over the pairs of inner-product.
+		res := symbolic.NewPolyEval(batchingCoin.AsVariable(), pairProduct)
 
 		ctx.Collapsed = res
 		ctx.CollapsedBoard = ctx.Collapsed.Board()

prover/protocol/wizardutils/evaluation.go

@@ -51,22 +51,13 @@ func EvalExprColumn(run *wizard.ProverRuntime, board symbolic.ExpressionBoard) s
 
 // returns the symbolic expression of a column obtained as a random linear combinations of differents handles
 // without committing to the column itself
-// @Azam this function is temporarily ignored and addressed in issue https://github.com/Consensys/linea-monorepo/issues/192
-/*func RandLinCombColSymbolic(x coin.Info, hs []ifaces.Column) *symbolic.Expression {
+func RandLinCombColSymbolic(x coin.Info, hs []ifaces.Column) *symbolic.Expression {
 	cols := make([]*symbolic.Expression, len(hs))
 	for c := range cols {
 		cols[c] = ifaces.ColumnAsVariable(hs[c])
 	}
 	expr := symbolic.NewPolyEval(x.AsVariable(), cols)
 	return expr
-}*/
-func RandLinCombColSymbolic(x coin.Info, hs []ifaces.Column) *symbolic.Expression {
-	res := symbolic.NewConstant(0)
-	for i := len(hs) - 1; i >= 0; i-- {
-		res = symbolic.Mul(res, x)
-		res = symbolic.Add(res, hs[i])
-	}
-	return res
 }
 
 // return the runtime assignments of a linear combination column

prover/protocol/wizardutils/wizardutils_test.go

@@ -0,0 +1,81 @@
+package wizardutils
+
+import (
+	"testing"
+
+	"github.com/consensys/linea-monorepo/prover/maths/common/smartvectors"
+	"github.com/consensys/linea-monorepo/prover/maths/field"
+	"github.com/consensys/linea-monorepo/prover/protocol/coin"
+	"github.com/consensys/linea-monorepo/prover/protocol/column/verifiercol"
+	"github.com/consensys/linea-monorepo/prover/protocol/compiler/dummy"
+	"github.com/consensys/linea-monorepo/prover/protocol/ifaces"
+	"github.com/consensys/linea-monorepo/prover/protocol/wizard"
+	"github.com/consensys/linea-monorepo/prover/symbolic"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestWizarldutils(t *testing.T) {
+	var res1, res11, res2, res22 *symbolic.Expression
+	define := func(b *wizard.Builder) {
+		var (
+			size = 4
+			col1 = b.RegisterCommit("P1", size)
+			col2 = b.RegisterCommit("P2", size)
+
+			col5 = b.RegisterPrecomputed("P3", smartvectors.ForTest(1, 0, 1, 1))
+			col6 = verifiercol.NewConstantCol(field.NewElement(3), size)
+
+			coin = b.RegisterRandomCoin(coin.Namef("Coin"), coin.Field)
+		)
+
+		// PolyEval over columns
+		res1 = symbolic.NewPolyEval(coin.AsVariable(), []*symbolic.Expression{ifaces.ColumnAsVariable(col1), ifaces.ColumnAsVariable(col2)})
+		res11 = linCom(coin.AsVariable(), []*symbolic.Expression{ifaces.ColumnAsVariable(col1), ifaces.ColumnAsVariable(col2)})
+
+		// PolyEval over PolyEval and Mul.
+		expr := symbolic.Mul(col6, col5, coin)
+		res2 = symbolic.NewPolyEval(coin.AsVariable(), []*symbolic.Expression{res1, expr})
+		res22 = linCom(coin.AsVariable(), []*symbolic.Expression{res1, expr})
+
+	}
+	prover := func(run *wizard.ProverRuntime) {
+		var (
+			col1 = smartvectors.ForTest(1, 2, 1, 0)
+			col2 = smartvectors.ForTest(1, 1, 3, 1)
+		)
+		run.AssignColumn("P1", col1)
+		run.AssignColumn("P2", col2)
+
+		run.GetRandomCoinField(coin.Namef("Coin"))
+
+		res1Wit := EvalExprColumn(run, res1.Board()).IntoRegVecSaveAlloc()
+		res11Wit := EvalExprColumn(run, res11.Board()).IntoRegVecSaveAlloc()
+		for i := range res11Wit {
+			if res1Wit[i].Cmp(&res11Wit[i]) != 0 {
+				panic("err")
+			}
+		}
+
+		res2Wit := EvalExprColumn(run, res2.Board()).IntoRegVecSaveAlloc()
+		res22Wit := EvalExprColumn(run, res22.Board()).IntoRegVecSaveAlloc()
+		for i := range res11Wit {
+			if res2Wit[i].Cmp(&res22Wit[i]) != 0 {
+				panic("err")
+			}
+		}
+
+	}
+
+	comp := wizard.Compile(define, dummy.Compile)
+	proof := wizard.Prove(comp, prover)
+	assert.NoErrorf(t, wizard.Verify(comp, proof), "invalid proof")
+}
+
+func linCom(x *symbolic.Expression, coeff []*symbolic.Expression) *symbolic.Expression {
+	res := symbolic.NewConstant(0)
+	for i := len(coeff) - 1; i >= 0; i-- {
+		res = symbolic.Mul(res, x)
+		res = symbolic.Add(res, coeff[i])
+	}
+	return res
+}