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package main
import (
"math/big"
"testing"
)
func TestFieldAddition(t *testing.T) {
a := NewFieldElementFromInt64(7)
b := NewFieldElementFromInt64(5)
result := a.Add(b)
expected := NewFieldElementFromInt64(12)
if !result.Equal(expected) {
t.Errorf("7 + 5 = %s, want 12", result.String())
}
}
func TestFieldSubtraction(t *testing.T) {
a := NewFieldElementFromInt64(7)
b := NewFieldElementFromInt64(5)
result := a.Sub(b)
expected := NewFieldElementFromInt64(2)
if !result.Equal(expected) {
t.Errorf("7 - 5 = %s, want 2", result.String())
}
}
func TestFieldSubtractionWraps(t *testing.T) {
// 5 - 7 should wrap around (mod P)
a := NewFieldElementFromInt64(5)
b := NewFieldElementFromInt64(7)
result := a.Sub(b)
// 5 - 7 mod P = P - 2
expected := new(big.Int).Sub(P, big.NewInt(2))
if result.value.Cmp(expected) != 0 {
t.Errorf("5 - 7 mod P should be P-2, got %s", result.String())
}
}
func TestFieldMultiplication(t *testing.T) {
a := NewFieldElementFromInt64(7)
b := NewFieldElementFromInt64(5)
result := a.Mul(b)
expected := NewFieldElementFromInt64(35)
if !result.Equal(expected) {
t.Errorf("7 * 5 = %s, want 35", result.String())
}
}
func TestFieldDivision(t *testing.T) {
a := NewFieldElementFromInt64(10)
b := NewFieldElementFromInt64(5)
result := a.Div(b)
expected := NewFieldElementFromInt64(2)
if !result.Equal(expected) {
t.Errorf("10 / 5 = %s, want 2", result.String())
}
}
func TestFieldInverse(t *testing.T) {
a := NewFieldElementFromInt64(5)
inv := a.Inverse()
product := a.Mul(inv)
one := NewFieldElementFromInt64(1)
if !product.Equal(one) {
t.Errorf("5 * inverse(5) = %s, want 1", product.String())
}
}
func TestFieldInverseLargeNumber(t *testing.T) {
// Test with a larger number
a := NewFieldElementFromInt64(123456789)
inv := a.Inverse()
product := a.Mul(inv)
one := NewFieldElementFromInt64(1)
if !product.Equal(one) {
t.Errorf("a * inverse(a) = %s, want 1", product.String())
}
}
func TestFieldSquare(t *testing.T) {
a := NewFieldElementFromInt64(7)
result := a.Square()
expected := NewFieldElementFromInt64(49)
if !result.Equal(expected) {
t.Errorf("7² = %s, want 49", result.String())
}
}
func TestFieldIsZero(t *testing.T) {
zero := NewFieldElementFromInt64(0)
if !zero.IsZero() {
t.Error("0 should be zero")
}
one := NewFieldElementFromInt64(1)
if one.IsZero() {
t.Error("1 should not be zero")
}
}
func TestFieldModReduction(t *testing.T) {
// Creating element with P should reduce to 0
result := NewFieldElement(P)
if !result.IsZero() {
t.Errorf("P mod P = %s, want 0", result.String())
}
// P + 1 should reduce to 1
pPlusOne := new(big.Int).Add(P, big.NewInt(1))
result = NewFieldElement(pPlusOne)
expected := NewFieldElementFromInt64(1)
if !result.Equal(expected) {
t.Errorf("(P+1) mod P = %s, want 1", result.String())
}
}
func TestFieldClone(t *testing.T) {
a := NewFieldElementFromInt64(42)
b := a.Clone()
if !a.Equal(b) {
t.Error("clone should equal original")
}
// Modify original, clone should be unchanged
a.value.SetInt64(100)
if a.Equal(b) {
t.Error("clone should be independent of original")
}
}
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