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336 lines
10 KiB
336 lines
10 KiB
package babyjub
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import (
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"encoding/hex"
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"math/big"
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"math/rand"
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"testing"
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"github.com/iden3/go-iden3-crypto/constants"
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"github.com/iden3/go-iden3-crypto/utils"
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"github.com/stretchr/testify/assert"
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)
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func TestAdd1(t *testing.T) {
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a := &Point{X: big.NewInt(0), Y: big.NewInt(1)}
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b := &Point{X: big.NewInt(0), Y: big.NewInt(1)}
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c := NewPoint().Projective().Add(a.Projective(), b.Projective())
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// fmt.Printf("%v = 2 * %v", *c, *a)
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assert.Equal(t, "0", c.X.String())
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assert.Equal(t, "1", c.Y.String())
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}
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func TestAdd2(t *testing.T) {
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aX := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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aY := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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a := &Point{X: aX, Y: aY}
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bX := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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bY := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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b := &Point{X: bX, Y: bY}
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c := NewPoint().Projective().Add(a.Projective(), b.Projective()).Affine()
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// fmt.Printf("%v = 2 * %v", *c, *a)
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assert.Equal(t,
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"6890855772600357754907169075114257697580319025794532037257385534741338397365",
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c.X.String())
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assert.Equal(t,
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"4338620300185947561074059802482547481416142213883829469920100239455078257889",
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c.Y.String())
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d := NewPointProjective().Add(c.Projective(), c.Projective()).Affine()
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assert.Equal(t, "2f6458832049e917c95867185a96621336df33e13c98e81d1ef4928cdbb77772", hex.EncodeToString(d.X.Bytes()))
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// Projective
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aP := a.Projective()
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bP := b.Projective()
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cP := NewPointProjective().Add(aP, bP)
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c2 := cP.Affine()
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assert.Equal(t, c, c2)
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}
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func TestAdd3(t *testing.T) {
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aX := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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aY := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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a := &Point{X: aX, Y: aY}
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bX := utils.NewIntFromString(
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"16540640123574156134436876038791482806971768689494387082833631921987005038935")
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bY := utils.NewIntFromString(
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"20819045374670962167435360035096875258406992893633759881276124905556507972311")
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b := &Point{X: bX, Y: bY}
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c := NewPoint().Projective().Add(a.Projective(), b.Projective()).Affine()
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// fmt.Printf("%v = 2 * %v", *c, *a)
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assert.Equal(t,
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"7916061937171219682591368294088513039687205273691143098332585753343424131937",
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c.X.String())
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assert.Equal(t,
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"14035240266687799601661095864649209771790948434046947201833777492504781204499",
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c.Y.String())
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}
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func TestAdd4(t *testing.T) {
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aX := utils.NewIntFromString(
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"0")
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aY := utils.NewIntFromString(
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"1")
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a := &Point{X: aX, Y: aY}
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bX := utils.NewIntFromString(
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"16540640123574156134436876038791482806971768689494387082833631921987005038935")
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bY := utils.NewIntFromString(
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"20819045374670962167435360035096875258406992893633759881276124905556507972311")
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b := &Point{X: bX, Y: bY}
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c := NewPoint().Projective().Add(a.Projective(), b.Projective()).Affine()
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// fmt.Printf("%v = 2 * %v", *c, *a)
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assert.Equal(t,
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"16540640123574156134436876038791482806971768689494387082833631921987005038935",
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c.X.String())
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assert.Equal(t,
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"20819045374670962167435360035096875258406992893633759881276124905556507972311",
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c.Y.String())
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}
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func TestInCurve1(t *testing.T) {
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p := &Point{X: big.NewInt(0), Y: big.NewInt(1)}
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assert.Equal(t, true, p.InCurve())
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}
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func TestInCurve2(t *testing.T) {
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p := &Point{X: big.NewInt(1), Y: big.NewInt(0)}
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assert.Equal(t, false, p.InCurve())
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}
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func TestMul0(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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s := utils.NewIntFromString("3")
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r2 := NewPoint().Projective().Add(p.Projective(), p.Projective()).Affine()
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r2 = NewPoint().Projective().Add(r2.Projective(), p.Projective()).Affine()
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r := NewPoint().Mul(s, p)
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assert.Equal(t, r2.X.String(), r.X.String())
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assert.Equal(t, r2.Y.String(), r.Y.String())
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assert.Equal(t,
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"19372461775513343691590086534037741906533799473648040012278229434133483800898",
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r.X.String())
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assert.Equal(t,
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"9458658722007214007257525444427903161243386465067105737478306991484593958249",
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r.Y.String())
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}
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func TestMul1(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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s := utils.NewIntFromString(
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"14035240266687799601661095864649209771790948434046947201833777492504781204499")
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r := NewPoint().Mul(s, p)
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assert.Equal(t,
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"17070357974431721403481313912716834497662307308519659060910483826664480189605",
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r.X.String())
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assert.Equal(t,
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"4014745322800118607127020275658861516666525056516280575712425373174125159339",
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r.Y.String())
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}
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func TestMul2(t *testing.T) {
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x := utils.NewIntFromString(
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"6890855772600357754907169075114257697580319025794532037257385534741338397365")
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y := utils.NewIntFromString(
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"4338620300185947561074059802482547481416142213883829469920100239455078257889")
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p := &Point{X: x, Y: y}
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s := utils.NewIntFromString(
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"20819045374670962167435360035096875258406992893633759881276124905556507972311")
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r := NewPoint().Mul(s, p)
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assert.Equal(t,
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"13563888653650925984868671744672725781658357821216877865297235725727006259983",
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r.X.String())
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assert.Equal(t,
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"8442587202676550862664528699803615547505326611544120184665036919364004251662",
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r.Y.String())
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}
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func TestInCurve3(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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assert.Equal(t, true, p.InCurve())
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}
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func TestInCurve4(t *testing.T) {
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x := utils.NewIntFromString(
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"6890855772600357754907169075114257697580319025794532037257385534741338397365")
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y := utils.NewIntFromString(
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"4338620300185947561074059802482547481416142213883829469920100239455078257889")
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p := &Point{X: x, Y: y}
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assert.Equal(t, true, p.InCurve())
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}
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func TestInSubGroup1(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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assert.Equal(t, true, p.InSubGroup())
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}
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func TestInSubGroup2(t *testing.T) {
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x := utils.NewIntFromString(
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"6890855772600357754907169075114257697580319025794532037257385534741338397365")
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y := utils.NewIntFromString(
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"4338620300185947561074059802482547481416142213883829469920100239455078257889")
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p := &Point{X: x, Y: y}
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assert.Equal(t, true, p.InSubGroup())
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}
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func TestPointFromSignAndy(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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sign := PointCoordSign(p.X)
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p2, err := PointFromSignAndY(sign, p.Y)
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assert.Equal(t, nil, err)
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assert.Equal(t, p.X.String(), p2.X.String())
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assert.Equal(t, p.Y.String(), p2.Y.String())
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}
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func TestCompressDecompress1(t *testing.T) {
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x := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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y := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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p := &Point{X: x, Y: y}
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buf := p.Compress()
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assert.Equal(t, "53b81ed5bffe9545b54016234682e7b2f699bd42a5e9eae27ff4051bc698ce85", hex.EncodeToString(buf[:]))
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p2, err := NewPoint().Decompress(buf)
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assert.Equal(t, nil, err)
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assert.Equal(t, p.X.String(), p2.X.String())
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assert.Equal(t, p.Y.String(), p2.Y.String())
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}
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func TestCompressDecompress2(t *testing.T) {
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x := utils.NewIntFromString(
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"6890855772600357754907169075114257697580319025794532037257385534741338397365")
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y := utils.NewIntFromString(
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"4338620300185947561074059802482547481416142213883829469920100239455078257889")
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p := &Point{X: x, Y: y}
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buf := p.Compress()
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assert.Equal(t, "e114eb17eddf794f063a68fecac515e3620e131976108555735c8b0773929709", hex.EncodeToString(buf[:]))
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p2, err := NewPoint().Decompress(buf)
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assert.Equal(t, nil, err)
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assert.Equal(t, p.X.String(), p2.X.String())
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assert.Equal(t, p.Y.String(), p2.Y.String())
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}
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func TestCompressDecompressRnd(t *testing.T) {
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for i := 0; i < 64; i++ {
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p1 := NewPoint().Mul(big.NewInt(int64(i)), B8)
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buf := p1.Compress()
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p2, err := NewPoint().Decompress(buf)
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assert.Equal(t, nil, err)
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assert.Equal(t, p1.X.Bytes(), p2.X.Bytes())
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assert.Equal(t, p1.Y.Bytes(), p2.Y.Bytes())
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}
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}
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func BenchmarkBabyjub(b *testing.B) {
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const n = 256
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rnd := rand.New(rand.NewSource(42))
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var badpoints [n]*Point
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for i := 0; i < n; i++ {
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x := new(big.Int).Rand(rnd, constants.Q)
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y := new(big.Int).Rand(rnd, constants.Q)
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badpoints[i] = &Point{X: x, Y: y}
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}
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var points [n]*Point
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var pointsProj [n]*PointProjective
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baseX := utils.NewIntFromString(
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"17777552123799933955779906779655732241715742912184938656739573121738514868268")
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baseY := utils.NewIntFromString(
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"2626589144620713026669568689430873010625803728049924121243784502389097019475")
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base := &Point{X: baseX, Y: baseY}
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for i := 0; i < n; i++ {
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s := new(big.Int).Rand(rnd, constants.Q)
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points[i] = NewPoint().Mul(s, base)
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pointsProj[i] = NewPoint().Mul(s, base).Projective()
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}
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var scalars [n]*big.Int
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for i := 0; i < n; i++ {
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scalars[i] = new(big.Int).Rand(rnd, constants.Q)
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}
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b.Run("AddConst", func(b *testing.B) {
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p0 := &Point{X: big.NewInt(0), Y: big.NewInt(1)}
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p1 := &Point{X: big.NewInt(0), Y: big.NewInt(1)}
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p0Proj := p0.Projective()
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p1Proj := p1.Projective()
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p2 := NewPoint().Projective()
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for i := 0; i < b.N; i++ {
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p2.Add(p0Proj, p1Proj)
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}
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})
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b.Run("AddRnd", func(b *testing.B) {
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res := NewPoint().Projective()
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for i := 0; i < b.N; i++ {
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res.Add(pointsProj[i%(n/2)], pointsProj[i%(n/2)+1])
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}
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})
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b.Run("MulRnd", func(b *testing.B) {
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res := NewPoint()
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for i := 0; i < b.N; i++ {
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res.Mul(scalars[i%n], points[i%n])
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}
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})
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b.Run("Compress", func(b *testing.B) {
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for i := 0; i < b.N; i++ {
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points[i%n].Compress()
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}
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})
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b.Run("InCurve", func(b *testing.B) {
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for i := 0; i < b.N; i++ {
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badpoints[i%n].InCurve()
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}
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})
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b.Run("InSubGroup", func(b *testing.B) {
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for i := 0; i < b.N; i++ {
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points[i%n].InCurve()
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}
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})
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}
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