fp6_test.go

Documentation: github.com/cloudflare/circl/ecc/bls12381/ff

     1  package ff
     2  
     3  import (
     4  	"testing"
     5  
     6  	"github.com/cloudflare/circl/internal/test"
     7  )
     8  
     9  func randomFp6(t testing.TB) *Fp6 { return &Fp6{*randomFp2(t), *randomFp2(t), *randomFp2(t)} }
    10  
    11  // expVarTime calculates z=x^n, where n is the exponent in big-endian order.
    12  func expVarTime(z, x *Fp6, n []byte) {
    13  	zz := new(Fp6)
    14  	zz.SetOne()
    15  	N := 8 * len(n)
    16  	for i := 0; i < N; i++ {
    17  		zz.Sqr(zz)
    18  		bit := 0x1 & (n[i/8] >> uint(7-i%8))
    19  		if bit != 0 {
    20  			zz.Mul(zz, x)
    21  		}
    22  	}
    23  	*z = *zz
    24  }
    25  
    26  func TestFp6(t *testing.T) {
    27  	const testTimes = 1 << 10
    28  	t.Run("no_alias", func(t *testing.T) {
    29  		var want, got Fp6
    30  		x := randomFp6(t)
    31  		got = *x
    32  		got.Sqr(&got)
    33  		want = *x
    34  		want.Mul(&want, &want)
    35  		if got.IsEqual(&want) == 0 {
    36  			test.ReportError(t, got, want, x)
    37  		}
    38  	})
    39  	t.Run("mul_inv", func(t *testing.T) {
    40  		var z Fp6
    41  		for i := 0; i < testTimes; i++ {
    42  			x := randomFp6(t)
    43  			y := randomFp6(t)
    44  
    45  			// x*y*x^1 - y = 0
    46  			z.Inv(x)
    47  			z.Mul(&z, y)
    48  			z.Mul(&z, x)
    49  			z.Sub(&z, y)
    50  			got := z.IsZero()
    51  			want := 1
    52  			if got != want {
    53  				test.ReportError(t, got, want, x, y)
    54  			}
    55  		}
    56  	})
    57  	t.Run("mul_sqr", func(t *testing.T) {
    58  		var l0, l1, r0, r1 Fp6
    59  		for i := 0; i < testTimes; i++ {
    60  			x := randomFp6(t)
    61  			y := randomFp6(t)
    62  
    63  			// (x+y)(x-y) = (x^2-y^2)
    64  			l0.Add(x, y)
    65  			l1.Sub(x, y)
    66  			l0.Mul(&l0, &l1)
    67  			r0.Sqr(x)
    68  			r1.Sqr(y)
    69  			r0.Sub(&r0, &r1)
    70  			got := &l0
    71  			want := &r0
    72  			if got.IsEqual(want) == 0 {
    73  				test.ReportError(t, got, want, x, y)
    74  			}
    75  		}
    76  	})
    77  	t.Run("frobenius", func(t *testing.T) {
    78  		var got, want Fp6
    79  		p := FpOrder()
    80  		for i := 0; i < testTimes; i++ {
    81  			x := randomFp6(t)
    82  
    83  			// Frob(x) == x^p
    84  			got.Frob(x)
    85  			expVarTime(&want, x, p)
    86  
    87  			if got.IsEqual(&want) == 0 {
    88  				test.ReportError(t, got, want, x)
    89  			}
    90  		}
    91  	})
    92  }
    93  
    94  func BenchmarkFp6(b *testing.B) {
    95  	x := randomFp6(b)
    96  	y := randomFp6(b)
    97  	z := randomFp6(b)
    98  	b.Run("Add", func(b *testing.B) {
    99  		for i := 0; i < b.N; i++ {
   100  			z.Add(x, y)
   101  		}
   102  	})
   103  	b.Run("Mul", func(b *testing.B) {
   104  		for i := 0; i < b.N; i++ {
   105  			z.Mul(x, y)
   106  		}
   107  	})
   108  	b.Run("Sqr", func(b *testing.B) {
   109  		for i := 0; i < b.N; i++ {
   110  			z.Sqr(x)
   111  		}
   112  	})
   113  	b.Run("Inv", func(b *testing.B) {
   114  		for i := 0; i < b.N; i++ {
   115  			z.Inv(x)
   116  		}
   117  	})
   118  }
   119
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