package encoding import ( "fmt" "math/rand" "reflect" "testing" ) func TestNearestDelta(t *testing.T) { testNearestDelta(t, 0, 0, 1, 0, 0) testNearestDelta(t, 0, 0, 2, 0, 0) testNearestDelta(t, 0, 0, 3, 0, 0) testNearestDelta(t, 0, 0, 4, 0, 0) testNearestDelta(t, 100, 100, 4, 0, 2) testNearestDelta(t, 123456, 123456, 4, 0, 12) testNearestDelta(t, -123456, -123456, 4, 0, 12) testNearestDelta(t, 9876543210, 9876543210, 4, 0, 29) testNearestDelta(t, 1, 2, 3, -1, 0) testNearestDelta(t, 2, 1, 3, 1, 0) testNearestDelta(t, -1, -2, 3, 1, 0) testNearestDelta(t, -2, -1, 3, -1, 0) testNearestDelta(t, 0, 1, 1, -1, 0) testNearestDelta(t, 1, 2, 1, -1, 0) testNearestDelta(t, 2, 3, 1, 0, 1) testNearestDelta(t, 1, 0, 1, 1, 0) testNearestDelta(t, 2, 1, 1, 0, 1) testNearestDelta(t, 2, 1, 2, 1, 0) testNearestDelta(t, 2, 1, 3, 1, 0) testNearestDelta(t, 0, -1, 1, 1, 0) testNearestDelta(t, -1, -2, 1, 1, 0) testNearestDelta(t, -2, -3, 1, 0, 1) testNearestDelta(t, -1, 0, 1, -1, 0) testNearestDelta(t, -2, -1, 1, 0, 1) testNearestDelta(t, -2, -1, 2, -1, 0) testNearestDelta(t, -2, -1, 3, -1, 0) testNearestDelta(t, 0, 2, 3, -2, 0) testNearestDelta(t, 3, 0, 3, 3, 0) testNearestDelta(t, 4, 0, 3, 4, 0) testNearestDelta(t, 5, 0, 3, 5, 0) testNearestDelta(t, 6, 0, 3, 6, 0) testNearestDelta(t, 0, 7, 3, -7, 0) testNearestDelta(t, 8, 0, 3, 8, 1) testNearestDelta(t, 9, 0, 3, 8, 1) testNearestDelta(t, 15, 0, 3, 14, 1) testNearestDelta(t, 16, 0, 3, 16, 2) testNearestDelta(t, 17, 0, 3, 16, 2) testNearestDelta(t, 18, 0, 3, 16, 2) testNearestDelta(t, 0, 59, 6, -59, 0) testNearestDelta(t, 128, 121, 1, 0, 7) testNearestDelta(t, 128, 121, 2, 0, 6) testNearestDelta(t, 128, 121, 3, 0, 5) testNearestDelta(t, 128, 121, 4, 0, 4) testNearestDelta(t, 128, 121, 5, 0, 3) testNearestDelta(t, 128, 121, 6, 4, 2) testNearestDelta(t, 128, 121, 7, 6, 1) testNearestDelta(t, 128, 121, 8, 7, 0) testNearestDelta(t, 32, 37, 1, 0, 5) testNearestDelta(t, 32, 37, 2, 0, 4) testNearestDelta(t, 32, 37, 3, 0, 3) testNearestDelta(t, 32, 37, 4, -4, 2) testNearestDelta(t, 32, 37, 5, -4, 1) testNearestDelta(t, 32, 37, 6, -5, 0) testNearestDelta(t, -10, 20, 1, -24, 3) testNearestDelta(t, -10, 20, 2, -28, 2) testNearestDelta(t, -10, 20, 3, -30, 1) testNearestDelta(t, -10, 20, 4, -30, 0) testNearestDelta(t, -10, 21, 4, -31, 0) testNearestDelta(t, -10, 21, 5, -31, 0) testNearestDelta(t, 10, -20, 1, 24, 3) testNearestDelta(t, 10, -20, 2, 28, 2) testNearestDelta(t, 10, -20, 3, 30, 1) testNearestDelta(t, 10, -20, 4, 30, 0) testNearestDelta(t, 10, -21, 4, 31, 0) testNearestDelta(t, 10, -21, 5, 31, 0) testNearestDelta(t, 1234e12, 1235e12, 1, 0, 50) testNearestDelta(t, 1234e12, 1235e12, 10, 0, 41) testNearestDelta(t, 1234e12, 1235e12, 35, -999999995904, 16) testNearestDelta(t, (1<<63)-1, 0, 1, (1<<63)-1, 2) } func testNearestDelta(t *testing.T, next, prev int64, precisionBits uint8, dExpected int64, trailingZeroBitsExpected uint8) { t.Helper() tz := getTrailingZeros(prev, precisionBits) d, trailingZeroBits := nearestDelta(next, prev, precisionBits, tz) if d != dExpected { t.Fatalf("unexpected d for next=%d, prev=%d, precisionBits=%d; got %d; expecting %d", next, prev, precisionBits, d, dExpected) } if trailingZeroBits != trailingZeroBitsExpected { t.Fatalf("unexpected trailingZeroBits for next=%d, prev=%d, precisionBits=%d; got %d; expecting %d", next, prev, precisionBits, trailingZeroBits, trailingZeroBitsExpected) } } func TestMarshalInt64NearestDelta2(t *testing.T) { testMarshalInt64NearestDelta2(t, []int64{0, 0}, 4, 0, "00") testMarshalInt64NearestDelta2(t, []int64{1, -3}, 4, 1, "07") testMarshalInt64NearestDelta2(t, []int64{255, 255}, 4, 255, "00") testMarshalInt64NearestDelta2(t, []int64{0, 1, 2, 3, 4, 5}, 4, 0, "0200000000") testMarshalInt64NearestDelta2(t, []int64{5, 4, 3, 2, 1, 0}, 4, 5, "0100000000") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 1, -5e3, "cf0f000000") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 2, -5e3, "cf0f000000") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 3, -5e3, "cf0f000000") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 4, -5e3, "cf0f00008001") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 5, -5e3, "cf0f0000c001") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 6, -5e3, "cf0f0000c001") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 7, -5e3, "cf0f0000c001") testMarshalInt64NearestDelta2(t, []int64{-5e3, -6e3, -7e3, -8e3, -8.9e3}, 8, -5e3, "cf0f0000c801") } func testMarshalInt64NearestDelta2(t *testing.T, va []int64, precisionBits uint8, firstValueExpected int64, bExpected string) { t.Helper() b, firstValue := marshalInt64NearestDelta2(nil, va, precisionBits) if firstValue != firstValueExpected { t.Fatalf("unexpected firstValue for va=%d, precisionBits=%d; got %d; want %d", va, precisionBits, firstValue, firstValueExpected) } if fmt.Sprintf("%x", b) != bExpected { t.Fatalf("invalid marshaled data for va=%d, precisionBits=%d; got\n%x; expecting\n%s", va, precisionBits, b, bExpected) } prefix := []byte("foobar") b, firstValue = marshalInt64NearestDelta2(prefix, va, precisionBits) if firstValue != firstValueExpected { t.Fatalf("unexpected firstValue for va=%d, precisionBits=%d; got %d; want %d", va, precisionBits, firstValue, firstValueExpected) } if string(b[:len(prefix)]) != string(prefix) { t.Fatalf("invalid prefix for va=%d, precisionBits=%d; got\n%x; expecting\n%x", va, precisionBits, b[:len(prefix)], prefix) } if fmt.Sprintf("%x", b[len(prefix):]) != bExpected { t.Fatalf("invalid marshaled prefixed data for va=%d, precisionBits=%d; got\n%x; expecting\n%s", va, precisionBits, b[len(prefix):], bExpected) } } func TestMarshalUnmarshalInt64NearestDelta2(t *testing.T) { testMarshalUnmarshalInt64NearestDelta2(t, []int64{0, 0}, 4) testMarshalUnmarshalInt64NearestDelta2(t, []int64{1, -3}, 4) testMarshalUnmarshalInt64NearestDelta2(t, []int64{255, 255}, 4) testMarshalUnmarshalInt64NearestDelta2(t, []int64{0, 1, 2, 3, 4, 5}, 4) testMarshalUnmarshalInt64NearestDelta2(t, []int64{5, 4, 3, 2, 1, 0}, 4) testMarshalUnmarshalInt64NearestDelta2(t, []int64{-5e12, -6e12, -7e12, -8e12, -8.9e12}, 1) testMarshalUnmarshalInt64NearestDelta2(t, []int64{-5e12, -6e12, -7e12, -8e12, -8.9e12}, 2) testMarshalUnmarshalInt64NearestDelta2(t, []int64{-5e12, -6e12, -7e12, -8e12, -8.9e12}, 3) testMarshalUnmarshalInt64NearestDelta2(t, []int64{-5e12, -6e12, -7e12, -8e12, -8.9e12}, 4) // Verify constant encoding. va := []int64{} for i := 0; i < 1024; i++ { va = append(va, 9876543210123) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) testMarshalUnmarshalInt64NearestDelta2(t, va, 63) // Verify encoding for monotonically incremented va. v := int64(-35) va = []int64{} for i := 0; i < 1024; i++ { v += 8 va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) testMarshalUnmarshalInt64NearestDelta2(t, va, 63) // Verify encoding for monotonically decremented va. v = 793 va = []int64{} for i := 0; i < 1024; i++ { v -= 16 va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) testMarshalUnmarshalInt64NearestDelta2(t, va, 63) // Verify encoding for quadratically incremented va. v = -1234567 va = []int64{} for i := 0; i < 1024; i++ { v += 32 + int64(i) va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) testMarshalUnmarshalInt64NearestDelta2(t, va, 63) // Verify encoding for decremented va with norm-float noise. v = 787933 va = []int64{} for i := 0; i < 1024; i++ { v -= 25 + int64(rand.NormFloat64()*2) va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) // Verify encoding for incremented va with random noise. v = 943854 va = []int64{} for i := 0; i < 1024; i++ { v += 30 + rand.Int63n(5) va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 4) // Verify encoding for constant va with norm-float noise. v = -12345 va = []int64{} for i := 0; i < 1024; i++ { v += int64(rand.NormFloat64() * 10) va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 2) // Verify encoding for constant va with random noise. v = -12345 va = []int64{} for i := 0; i < 1024; i++ { v += rand.Int63n(15) - 1 va = append(va, v) } testMarshalUnmarshalInt64NearestDelta2(t, va, 3) } func testMarshalUnmarshalInt64NearestDelta2(t *testing.T, va []int64, precisionBits uint8) { t.Helper() b, firstValue := marshalInt64NearestDelta2(nil, va, precisionBits) vaNew, err := unmarshalInt64NearestDelta2(nil, b, firstValue, len(va)) if err != nil { t.Fatalf("cannot unmarshal data for va=%d, precisionBits=%d from b=%x: %s", va, precisionBits, b, err) } if err = checkPrecisionBits(vaNew, va, precisionBits); err != nil { t.Fatalf("too small precisionBits for va=%d, precisionBits=%d: %s, vaNew=\n%d", va, precisionBits, err, vaNew) } vaPrefix := []int64{1, 2, 3, 4} vaNew, err = unmarshalInt64NearestDelta2(vaPrefix, b, firstValue, len(va)) if err != nil { t.Fatalf("cannot unmarshal prefixed data for va=%d, precisionBits=%d from b=%x: %s", va, precisionBits, b, err) } if !reflect.DeepEqual(vaNew[:len(vaPrefix)], vaPrefix) { t.Fatalf("unexpected prefix for va=%d, precisionBits=%d: got\n%d; expecting\n%d", va, precisionBits, vaNew[:len(vaPrefix)], vaPrefix) } if err = checkPrecisionBits(vaNew[len(vaPrefix):], va, precisionBits); err != nil { t.Fatalf("too small precisionBits for prefixed va=%d, precisionBits=%d: %s, vaNew=\n%d", va, precisionBits, err, vaNew[len(vaPrefix):]) } } func checkPrecisionBits(a, b []int64, precisionBits uint8) error { if len(a) != len(b) { return fmt.Errorf("different-sized arrays: %d vs %d", len(a), len(b)) } for i, av := range a { bv := b[i] if av < bv { av, bv = bv, av } eps := av - bv if eps == 0 { continue } if av < 0 { av = -av } pbe := uint8(1) for eps < av { av >>= 1 pbe++ } if pbe < precisionBits { return fmt.Errorf("too low precisionBits for\na=%d\nb=%d\ngot %d; expecting %d; compared values: %d vs %d, eps=%d", a, b, pbe, precisionBits, a[i], b[i], eps) } } return nil }