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math_test.go
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math_test.go
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package gg_test
import (
"fmt"
"math"
"testing"
"github.com/mitranim/gg"
"github.com/mitranim/gg/gtest"
)
type (
Byte uint8
Uint16 uint16
Uint32 uint32
Uint64 uint64
Uint uint
Int8 int8
Int16 int16
Int32 int32
Int64 int64
Int int
Float32 float32
Float64 float64
Complex64 complex64
Complex128 complex128
)
/*
TODO consider making public. This should really be provided by "math" instead.
Also TODO better names.
*/
const (
MinSafeFloat32 = -(2 << 24)
MaxSafeFloat32 = 2 << 24
MinSafeFloat64 = -(2 << 53)
MaxSafeFloat64 = 2 << 53
)
func TestIsFin(t *testing.T) {
defer gtest.Catch(t)
gtest.False(gg.IsFin(math.NaN()))
gtest.False(gg.IsFin(math.Inf(1)))
gtest.False(gg.IsFin(math.Inf(-1)))
gtest.True(gg.IsFin(0.0))
}
func TestIsDivisibleBy(t *testing.T) {
defer gtest.Catch(t)
gtest.False(gg.IsDivisibleBy(0, 0))
gtest.False(gg.IsDivisibleBy(1, 0))
gtest.False(gg.IsDivisibleBy(2, 0))
gtest.False(gg.IsDivisibleBy(-1, 0))
gtest.False(gg.IsDivisibleBy(-2, 0))
gtest.True(gg.IsDivisibleBy(0, 1))
gtest.True(gg.IsDivisibleBy(0, 2))
gtest.True(gg.IsDivisibleBy(0, -1))
gtest.True(gg.IsDivisibleBy(0, -2))
gtest.True(gg.IsDivisibleBy(1, 1))
gtest.True(gg.IsDivisibleBy(2, 1))
gtest.True(gg.IsDivisibleBy(3, 1))
gtest.True(gg.IsDivisibleBy(-1, 1))
gtest.True(gg.IsDivisibleBy(-2, 1))
gtest.True(gg.IsDivisibleBy(-3, 1))
gtest.True(gg.IsDivisibleBy(1, -1))
gtest.True(gg.IsDivisibleBy(2, -1))
gtest.True(gg.IsDivisibleBy(3, -1))
gtest.True(gg.IsDivisibleBy(-1, -1))
gtest.True(gg.IsDivisibleBy(-2, -1))
gtest.True(gg.IsDivisibleBy(-3, -1))
gtest.False(gg.IsDivisibleBy(1, -2))
gtest.False(gg.IsDivisibleBy(1, -3))
gtest.False(gg.IsDivisibleBy(1, 2))
gtest.False(gg.IsDivisibleBy(1, 3))
gtest.False(gg.IsDivisibleBy(4, 0))
gtest.True(gg.IsDivisibleBy(4, 1))
gtest.True(gg.IsDivisibleBy(4, 2))
gtest.False(gg.IsDivisibleBy(4, 3))
gtest.True(gg.IsDivisibleBy(4, 4))
gtest.False(gg.IsDivisibleBy(4, 5))
gtest.False(gg.IsDivisibleBy(4, 6))
gtest.False(gg.IsDivisibleBy(4, 7))
gtest.False(gg.IsDivisibleBy(4, 8))
gtest.False(gg.IsDivisibleBy(4, 9))
gtest.False(gg.IsDivisibleBy(4, 10))
gtest.False(gg.IsDivisibleBy(4, 11))
gtest.False(gg.IsDivisibleBy(4, 12))
gtest.False(gg.IsDivisibleBy(4, 13))
gtest.False(gg.IsDivisibleBy(4, 14))
gtest.False(gg.IsDivisibleBy(4, 15))
gtest.False(gg.IsDivisibleBy(4, 16))
gtest.False(gg.IsDivisibleBy(-4, 0))
gtest.True(gg.IsDivisibleBy(-4, 1))
gtest.True(gg.IsDivisibleBy(-4, 2))
gtest.False(gg.IsDivisibleBy(-4, 3))
gtest.True(gg.IsDivisibleBy(-4, 4))
gtest.False(gg.IsDivisibleBy(-4, 5))
gtest.False(gg.IsDivisibleBy(-4, 6))
gtest.False(gg.IsDivisibleBy(-4, 7))
gtest.False(gg.IsDivisibleBy(-4, 8))
gtest.False(gg.IsDivisibleBy(-4, 9))
gtest.False(gg.IsDivisibleBy(-4, 10))
gtest.False(gg.IsDivisibleBy(-4, 11))
gtest.False(gg.IsDivisibleBy(-4, 12))
gtest.False(gg.IsDivisibleBy(-4, 13))
gtest.False(gg.IsDivisibleBy(-4, 14))
gtest.False(gg.IsDivisibleBy(-4, 15))
gtest.False(gg.IsDivisibleBy(-4, 16))
gtest.True(gg.IsDivisibleBy(4, -1))
gtest.True(gg.IsDivisibleBy(4, -2))
gtest.False(gg.IsDivisibleBy(4, -3))
gtest.True(gg.IsDivisibleBy(4, -4))
gtest.False(gg.IsDivisibleBy(4, -5))
gtest.False(gg.IsDivisibleBy(4, -6))
gtest.False(gg.IsDivisibleBy(4, -7))
gtest.False(gg.IsDivisibleBy(4, -8))
gtest.False(gg.IsDivisibleBy(4, -9))
gtest.False(gg.IsDivisibleBy(4, -10))
gtest.False(gg.IsDivisibleBy(4, -11))
gtest.False(gg.IsDivisibleBy(4, -12))
gtest.False(gg.IsDivisibleBy(4, -13))
gtest.False(gg.IsDivisibleBy(4, -14))
gtest.False(gg.IsDivisibleBy(4, -15))
gtest.False(gg.IsDivisibleBy(4, -16))
gtest.True(gg.IsDivisibleBy(-4, -1))
gtest.True(gg.IsDivisibleBy(-4, -2))
gtest.False(gg.IsDivisibleBy(-4, -3))
gtest.True(gg.IsDivisibleBy(-4, -4))
gtest.False(gg.IsDivisibleBy(-4, -5))
gtest.False(gg.IsDivisibleBy(-4, -6))
gtest.False(gg.IsDivisibleBy(-4, -7))
gtest.False(gg.IsDivisibleBy(-4, -8))
gtest.False(gg.IsDivisibleBy(-4, -9))
gtest.False(gg.IsDivisibleBy(-4, -10))
gtest.False(gg.IsDivisibleBy(-4, -11))
gtest.False(gg.IsDivisibleBy(-4, -12))
gtest.False(gg.IsDivisibleBy(-4, -13))
gtest.False(gg.IsDivisibleBy(-4, -14))
gtest.False(gg.IsDivisibleBy(-4, -15))
gtest.False(gg.IsDivisibleBy(-4, -16))
}
func TestInc(t *testing.T) {
defer gtest.Catch(t)
gtest.Eq(gg.Inc(-3), -2)
gtest.Eq(gg.Inc(-2), -1)
gtest.Eq(gg.Inc(-1), 0)
gtest.Eq(gg.Inc(0), 1)
gtest.Eq(gg.Inc(1), 2)
gtest.Eq(gg.Inc(2), 3)
gtest.Eq(gg.Inc(3), 4)
gtest.PanicStr(
`addition overflow for uint8: 255 + 1 = 0`,
func() { gg.Inc[uint8](math.MaxUint8) },
)
gtest.PanicStr(
`addition overflow for int8: 127 + 1 = -128`,
func() { gg.Inc[int8](math.MaxInt8) },
)
/**
TODO restore support for floats.
gtest.Eq(gg.Inc(-3.5), -2.5)
gtest.Eq(gg.Inc(-2.5), -1.5)
gtest.Eq(gg.Inc(-1.5), -0.5)
gtest.Eq(gg.Inc(-0.5), 0.5)
gtest.Eq(gg.Inc(0.0), 1)
gtest.Eq(gg.Inc(0.5), 1.5)
gtest.Eq(gg.Inc(1.5), 2.5)
gtest.Eq(gg.Inc(2.5), 3.5)
gtest.Eq(gg.Inc(3.5), 4.5)
gtest.PanicStr(...)
*/
}
func TestDec(t *testing.T) {
defer gtest.Catch(t)
gtest.Eq(gg.Dec(-3), -4)
gtest.Eq(gg.Dec(-2), -3)
gtest.Eq(gg.Dec(-1), -2)
gtest.Eq(gg.Dec(0), -1)
gtest.Eq(gg.Dec(1), 0)
gtest.Eq(gg.Dec(2), 1)
gtest.Eq(gg.Dec(3), 2)
gtest.PanicStr(
`subtraction overflow for uint8: 0 - 1 = 255`,
func() { gg.Dec[uint8](0) },
)
gtest.PanicStr(
`subtraction overflow for int8: -128 - 1 = 127`,
func() { gg.Dec[int8](math.MinInt8) },
)
/**
TODO restore support for floats.
gtest.Eq(gg.Dec(-3.5), -4.5)
gtest.Eq(gg.Dec(-2.5), -3.5)
gtest.Eq(gg.Dec(-1.5), -2.5)
gtest.Eq(gg.Dec(-0.5), -1.5)
gtest.Eq(gg.Dec(0.0), -1.0)
gtest.Eq(gg.Dec(0.5), -0.5)
gtest.Eq(gg.Dec(1.5), 0.5)
gtest.Eq(gg.Dec(2.5), 1.5)
gtest.Eq(gg.Dec(3.5), 2.5)
gtest.PanicStr(...)
*/
}
func TestPow(t *testing.T) {
defer gtest.Catch(t)
testPowInt(gg.Pow[int, int])
testPowFloat(gg.Pow[float64, float64])
gtest.PanicStr(
`unable to safely convert float64 1162261467 to uint8 219`,
func() { gg.Pow[uint8](3, 19) },
)
gtest.PanicStr(
`unable to safely convert float64 1162261467 to int8 -37`,
func() { gg.Pow[int8](3, 19) },
)
}
/*
TODO test fractional and negative powers.
We're simply calling `math.Pow`, but we do need a sanity check.
*/
func testPowInt(fun func(int, int) int) {
src := []int{-12, -1, 0, 1, 12}
for _, val := range src {
testPow0(val, fun)
testPow1(val, fun)
testPow2(val, fun)
testPow3(val, fun)
}
}
func testPowFloat(fun func(float64, float64) float64) {
src := []float64{-12.23, -1.2, -1.0, 0.0, 1.0, 1.2, 12.23}
for _, val := range src {
testPow0(val, fun)
testPow1(val, fun)
testPow2(val, fun)
testPow3(val, fun)
}
}
func testPow0[A gg.Num](src A, fun func(A, A) A) { gtest.Eq(fun(src, 0), 1) }
func testPow1[A gg.Num](src A, fun func(A, A) A) { gtest.Eq(fun(src, 1), src) }
func testPow2[A gg.Num](src A, fun func(A, A) A) { gtest.Eq(fun(src, 2), src*src) }
func testPow3[A gg.Num](src A, fun func(A, A) A) { gtest.Eq(fun(src, 3), src*src*src) }
func BenchmarkPow(b *testing.B) {
defer gtest.Catch(b)
for ind := 0; ind < b.N; ind++ {
gg.Pow(79, 7)
}
}
func TestPowUncheck(t *testing.T) {
defer gtest.Catch(t)
testPowInt(gg.PowUncheck[int, int])
testPowFloat(gg.PowUncheck[float64, float64])
}
func BenchmarkPowUncheck(b *testing.B) {
defer gtest.Catch(b)
for ind := 0; ind < b.N; ind++ {
gg.PowUncheck(79, 7)
}
}
func TestFac(t *testing.T) {
defer gtest.Catch(t)
test := func(src, exp uint64) { gtest.Eq(gg.Fac(src), exp) }
test(0, 1)
test(1, 1)
test(2, 2)
test(3, 6)
test(4, 24)
test(5, 120)
test(6, 720)
test(7, 5040)
test(8, 40320)
test(9, 362880)
test(10, 3628800)
test(11, 39916800)
test(12, 479001600)
test(13, 6227020800)
test(14, 87178291200)
test(15, 1307674368000)
test(16, 20922789888000)
test(17, 355687428096000)
test(18, 6402373705728000)
test(19, 121645100408832000)
test(20, 2432902008176640000)
gtest.PanicStr(
`unable to safely convert float64 720 to uint8 208`,
func() { gg.Fac[uint8](6) },
)
}
func BenchmarkFac(b *testing.B) {
defer gtest.Catch(b)
for ind := 0; ind < b.N; ind++ {
gg.Fac[uint64](19)
}
}
func TestFacUncheck(t *testing.T) {
defer gtest.Catch(t)
test := func(src, exp uint64) { gtest.Eq(gg.FacUncheck(src), exp) }
test(0, 1)
test(1, 1)
test(2, 2)
test(3, 6)
test(4, 24)
test(5, 120)
test(6, 720)
test(7, 5040)
test(8, 40320)
test(9, 362880)
test(10, 3628800)
test(11, 39916800)
test(12, 479001600)
test(13, 6227020800)
test(14, 87178291200)
test(15, 1307674368000)
test(16, 20922789888000)
test(17, 355687428096000)
test(18, 6402373705728000)
test(19, 121645100408832000)
test(20, 2432902008176640000)
gtest.Eq(gg.FacUncheck[uint8](6), 208, `expecting overflow`)
}
func BenchmarkFacUncheck(b *testing.B) {
defer gtest.Catch(b)
for ind := 0; ind < b.N; ind++ {
gg.FacUncheck[uint64](19)
}
}
func TestNumConv_width_decrease_within_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.Eq(gg.NumConv[uint8](int16(0)), 0)
gtest.Eq(gg.NumConv[uint8](int16(128)), 128)
gtest.Eq(gg.NumConv[uint8](int16(255)), 255)
gtest.Eq(gg.NumConv[uint8](float32(0)), 0)
gtest.Eq(gg.NumConv[uint8](float32(128)), 128)
gtest.Eq(gg.NumConv[uint8](float32(255)), 255)
gtest.Eq(gg.NumConv[uint8](float64(0)), 0)
gtest.Eq(gg.NumConv[uint8](float64(128)), 128)
gtest.Eq(gg.NumConv[uint8](float64(255)), 255)
gtest.Eq(gg.NumConv[int8](int16(0)), 0)
gtest.Eq(gg.NumConv[int8](int16(127)), 127)
gtest.Eq(gg.NumConv[int8](int16(-128)), -128)
gtest.Eq(gg.NumConv[int8](float32(0)), 0)
gtest.Eq(gg.NumConv[int8](float32(127)), 127)
gtest.Eq(gg.NumConv[int8](float32(-128)), -128)
gtest.Eq(gg.NumConv[int8](float64(0)), 0)
gtest.Eq(gg.NumConv[int8](float64(127)), 127)
gtest.Eq(gg.NumConv[int8](float64(-128)), -128)
gtest.Eq(gg.NumConv[float32](float64(0)), 0)
gtest.Eq(gg.NumConv[float32](float64(math.MaxFloat32)), math.MaxFloat32)
gtest.Eq(gg.NumConv[float32](float64(-math.MaxFloat32)), -math.MaxFloat32)
}
func TestNumConv_width_decrease_sign_mismatch(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert int16 -1 to uint8 255`,
func() { gg.NumConv[uint8](int16(-1)) },
)
gtest.PanicStr(
`unable to safely convert int16 -128 to uint8 128`,
func() { gg.NumConv[uint8](int16(-128)) },
)
gtest.PanicStr(
`unable to safely convert float32 -128 to uint8 128`,
func() { gg.NumConv[uint8](float32(-128)) },
)
}
func TestNumConv_width_decrease_out_of_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert int16 256 to uint8 0`,
func() { gg.NumConv[uint8](int16(256)) },
)
gtest.PanicStr(
`unable to safely convert float32 256 to uint8 0`,
func() { gg.NumConv[uint8](float32(256)) },
)
gtest.PanicStr(
`unable to safely convert int16 128 to int8 -128`,
func() { gg.NumConv[int8](int16(128)) },
)
gtest.PanicStr(
`unable to safely convert float32 -170141173319264430000000000000000000000 to int16 0`,
func() { gg.NumConv[int16](float32(-math.MaxFloat32 / 2)) },
)
gtest.PanicStr(
`unable to safely convert float32 170141173319264430000000000000000000000 to int16 0`,
func() { gg.NumConv[int16](float32(math.MaxFloat32 / 2)) },
)
gtest.PanicStr(
`unable to safely convert float64 680564693277057700000000000000000000000 to float32 +Inf`,
func() { gg.NumConv[float32](float64(math.MaxFloat32 * 2)) },
)
gtest.PanicStr(
`unable to safely convert float64 -680564693277057700000000000000000000000 to float32 -Inf`,
func() { gg.NumConv[float32](float64(-math.MaxFloat32 * 2)) },
)
gtest.PanicStr(
`unable to safely convert float32 128 to int8 -128`,
func() { gg.NumConv[int8](float32(128)) },
)
gtest.PanicStr(
`unable to safely convert float32 NaN to int16 0`,
func() { gg.NumConv[int16](float32(math.NaN())) },
)
gtest.PanicStr(
`unable to safely convert float32 +Inf to int16 0`,
func() { gg.NumConv[int16](float32(math.Inf(1))) },
)
gtest.PanicStr(
`unable to safely convert float32 -Inf to int16 0`,
func() { gg.NumConv[int16](float32(math.Inf(-1))) },
)
}
func TestNumConv_width_decrease_imprecision(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert float32 10.5 to int16 10`,
func() { gg.NumConv[int16](float32(10.5)) },
)
gtest.PanicStr(
`unable to safely convert float32 -10.5 to int16 -10`,
func() { gg.NumConv[int16](float32(-10.5)) },
)
}
func TestNumConv_width_match_within_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.Eq(gg.NumConv[uint8](int8(0)), 0)
gtest.Eq(gg.NumConv[int8](uint8(0)), 0)
gtest.Eq(gg.NumConv[uint8](int8(127)), 127)
gtest.Eq(gg.NumConv[int8](uint8(127)), 127)
gtest.Eq(gg.NumConv[int](uint(math.MaxInt)), math.MaxInt)
gtest.Eq(gg.NumConv[uint](int(math.MaxInt)), math.MaxInt)
gtest.Eq(gg.NumConv[int32](float32(0)), 0)
gtest.Eq(gg.NumConv[int32](float32(0)), 0)
gtest.Eq(gg.NumConv[int32](float32(MinSafeFloat32)), MinSafeFloat32)
gtest.Eq(gg.NumConv[int32](float32(MaxSafeFloat32)), MaxSafeFloat32)
gtest.Eq(gg.NumConv[float32](int32(MinSafeFloat32)), MinSafeFloat32)
gtest.Eq(gg.NumConv[float32](int32(MaxSafeFloat32)), MaxSafeFloat32)
/**
This is technically out of the safe range, but the value seems to match by
accident. TODO: consider forbidding conversion from integers to floats
when the output is outside of its safe range.
*/
gtest.Eq(gg.NumConv[float32](int32(math.MinInt32)), math.MinInt32)
gtest.Eq(int32(gg.NumConv[float32](int32(math.MinInt32))), int32(math.MinInt32))
// Same as above.
gtest.Eq(gg.NumConv[float64](int64(math.MinInt64)), math.MinInt64)
gtest.Eq(int64(gg.NumConv[float64](int64(math.MinInt64))), int64(math.MinInt64))
}
func TestNumConv_width_match_sign_mismatch(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert int8 -1 to uint8 255`,
func() { gg.NumConv[uint8](int8(-1)) },
)
gtest.PanicStr(
`unable to safely convert int8 -128 to uint8 128`,
func() { gg.NumConv[uint8](int8(-128)) },
)
gtest.PanicStr(
`unable to safely convert uint8 128 to int8 -128`,
func() { gg.NumConv[int8](uint8(128)) },
)
gtest.PanicStr(
`unable to safely convert uint8 255 to int8 -1`,
func() { gg.NumConv[int8](uint8(255)) },
)
gtest.PanicStr(
`unable to safely convert float32 -1 to uint32 4294967295`,
func() { gg.NumConv[uint32](float32(-1)) },
)
gtest.PanicStr(
`unable to safely convert float64 -1 to uint64 18446744073709551615`,
func() { gg.NumConv[uint64](float64(-1)) },
)
}
func TestNumConv_width_match_out_of_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert uint 9223372036854775808 to int -9223372036854775808`,
func() { gg.NumConv[int](uint(math.MaxInt + 1)) },
)
gtest.PanicStr(
`unable to safely convert float32 -170141173319264430000000000000000000000 to int32 -2147483648`,
func() { gg.NumConv[int32](float32(-math.MaxFloat32 / 2)) },
)
gtest.PanicStr(
`unable to safely convert float32 170141173319264430000000000000000000000 to int32 -2147483648`,
func() { gg.NumConv[int32](float32(math.MaxFloat32 / 2)) },
)
gtest.PanicStr(
`unable to safely convert float32 NaN to int32 -2147483648`,
func() { gg.NumConv[int32](float32(math.NaN())) },
)
gtest.PanicStr(
`unable to safely convert float32 +Inf to int32 -2147483648`,
func() { gg.NumConv[int32](float32(math.Inf(1))) },
)
gtest.PanicStr(
`unable to safely convert float32 -Inf to int32 -2147483648`,
func() { gg.NumConv[int32](float32(math.Inf(-1))) },
)
}
func TestNumConv_width_match_imprecision(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert float32 10.5 to int32 10`,
func() { gg.NumConv[int32](float32(10.5)) },
)
gtest.PanicStr(
`unable to safely convert float32 -10.5 to int32 -10`,
func() { gg.NumConv[int32](float32(-10.5)) },
)
gtest.PanicStr(
`unable to safely convert int32 33554433 to float32 33554432`,
func() { gg.NumConv[float32](int32(MaxSafeFloat32 + 1)) },
)
gtest.PanicStr(
`unable to safely convert int32 -33554433 to float32 -33554432`,
func() { gg.NumConv[float32](int32(MinSafeFloat32 - 1)) },
)
gtest.PanicStr(
`unable to safely convert int32 2147483647 to float32 2147483648`,
func() { gg.NumConv[float32](int32(math.MaxInt32)) },
)
gtest.PanicStr(
`unable to safely convert int64 18014398509481985 to float64 18014398509481984`,
func() { gg.NumConv[float64](int64(MaxSafeFloat64 + 1)) },
)
gtest.PanicStr(
`unable to safely convert int64 -18014398509481985 to float64 -18014398509481984`,
func() { gg.NumConv[float64](int64(MinSafeFloat64 - 1)) },
)
gtest.PanicStr(
`unable to safely convert int64 9223372036854775807 to float64 9223372036854776000`,
func() { gg.NumConv[float64](int64(math.MaxInt64)) },
)
}
func TestNumConv_width_increase_within_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.Eq(gg.NumConv[uint16](uint8(0)), 0)
gtest.Eq(gg.NumConv[uint16](uint8(128)), 128)
gtest.Eq(gg.NumConv[uint16](uint8(255)), 255)
gtest.Eq(gg.NumConv[int16](uint8(0)), 0)
gtest.Eq(gg.NumConv[int16](uint8(128)), 128)
gtest.Eq(gg.NumConv[int16](uint8(255)), 255)
gtest.Eq(gg.NumConv[int16](int8(0)), 0)
gtest.Eq(gg.NumConv[int16](int8(127)), 127)
gtest.Eq(gg.NumConv[int16](int8(-128)), -128)
gtest.Eq(gg.NumConv[float64](int32(math.MaxInt32)), math.MaxInt32)
gtest.Eq(gg.NumConv[int64](float32(MaxSafeFloat32)), MaxSafeFloat32)
gtest.Eq(gg.NumConv[float64](int32(math.MinInt32)), math.MinInt32)
gtest.Eq(gg.NumConv[int64](float32(MinSafeFloat32)), MinSafeFloat32)
gtest.Eq(gg.NumConv[float64](float32(0)), 0)
gtest.Eq(gg.NumConv[float64](float32(math.MaxFloat32)), math.MaxFloat32)
gtest.Eq(gg.NumConv[float64](float32(-math.MaxFloat32)), -math.MaxFloat32)
}
func TestNumConv_width_increase_sign_mismatch(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert int8 -1 to uint16 65535`,
func() { gg.NumConv[uint16](int8(-1)) },
)
gtest.PanicStr(
`unable to safely convert int8 -128 to uint16 65408`,
func() { gg.NumConv[uint16](int8(-128)) },
)
gtest.PanicStr(
`unable to safely convert float32 -1 to uint64 18446744073709551615`,
func() { gg.NumConv[uint64](float32(-1)) },
)
}
func TestNumConv_width_increase_out_of_bounds(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert float32 -170141173319264430000000000000000000000 to int64 -9223372036854775808`,
func() { gg.NumConv[int64](float32(-math.MaxFloat32 / 2)) },
)
gtest.PanicStr(
`unable to safely convert float32 170141173319264430000000000000000000000 to int64 -9223372036854775808`,
func() { gg.NumConv[int64](float32(math.MaxFloat32 / 2)) },
)
}
func TestNumConv_width_increase_imprecision(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert float32 10.5 to int64 10`,
func() { gg.NumConv[int64](float32(10.5)) },
)
gtest.PanicStr(
`unable to safely convert float32 -10.5 to int64 -10`,
func() { gg.NumConv[int64](float32(-10.5)) },
)
gtest.PanicStr(
`unable to safely convert float32 NaN to int64 -9223372036854775808`,
func() { gg.NumConv[int64](float32(math.NaN())) },
)
gtest.PanicStr(
`unable to safely convert float32 +Inf to int64 -9223372036854775808`,
func() { gg.NumConv[int64](float32(math.Inf(1))) },
)
gtest.PanicStr(
`unable to safely convert float32 -Inf to int64 -9223372036854775808`,
func() { gg.NumConv[int64](float32(math.Inf(-1))) },
)
}
/*
This behavior is an artefact of the implementation.
We might want to fix it, but without incurring overheads.
*/
func TestNumConv_NaN(t *testing.T) {
defer gtest.Catch(t)
gtest.PanicStr(
`unable to safely convert float64 NaN to float32 NaN`,
func() { gg.NumConv[float32](math.NaN()) },
)
gtest.PanicStr(
`unable to safely convert float64 NaN to gg_test.Float32 NaN`,
func() { gg.NumConv[Float32](math.NaN()) },
)
gtest.PanicStr(
`unable to safely convert float64 NaN to float64 NaN`,
func() { gg.NumConv[float64](math.NaN()) },
)
gtest.PanicStr(
`unable to safely convert float64 NaN to gg_test.Float64 NaN`,
func() { gg.NumConv[Float64](math.NaN()) },
)
}
//go:noinline
func makeInt32() int32 { return MaxSafeFloat32 }
//go:noinline
func makeFloat32() float32 { return MaxSafeFloat32 }
//go:noinline
func numConvNativeIntToFloat(src int32) float64 { return float64(src) }
//go:noinline
func numConvNativeFloatToInt(src float32) int64 { return int64(src) }
//go:noinline
func numConvOursIntToFloat(src int32) float64 { return gg.NumConv[float64](src) }
//go:noinline
func numConvOursFloatToInt(src float32) int64 { return gg.NumConv[int64](src) }
func Benchmark_NumConv_int_to_float_native(b *testing.B) {
defer gtest.Catch(b)
src := makeInt32()
for ind := 0; ind < b.N; ind++ {
gg.Nop1(numConvNativeIntToFloat(src))
}
}
func Benchmark_NumConv_int_to_float_ours(b *testing.B) {
defer gtest.Catch(b)
src := makeInt32()
for ind := 0; ind < b.N; ind++ {
gg.Nop1(numConvOursIntToFloat(src))
}
}
func Benchmark_NumConv_float_to_int_native(b *testing.B) {
defer gtest.Catch(b)
src := makeFloat32()
for ind := 0; ind < b.N; ind++ {
gg.Nop1(numConvNativeFloatToInt(src))
}
}
func Benchmark_NumConv_float_to_int_ours(b *testing.B) {
defer gtest.Catch(b)
src := makeFloat32()
for ind := 0; ind < b.N; ind++ {
gg.Nop1(numConvOursFloatToInt(src))
}
}
/*
Supplementary for `gg.Add`.
Definitions:
A = addend
B = addend
V = valid output
O = overflow output
States for unsigned integers:
-->
0+++++++++++ | 0+++++
AB | V
A B | V
B A | V
AB | O OV
A B | OV
B A | OV
States for signed integers:
-->
---------0+++++++++ | ---------0+++++++++
AB | V
A B | V
B A | V
A B | V
B A | V
A B | V V V
B A | V V V
AB | V O O
A B | V O
B A | V O
AB | O V
A B | O V
B A | O V
*/
func TestAdd_uint8(t *testing.T) {
defer gtest.Catch(t)
type Type = uint8
fun := gg.Add[Type]
enum := gg.RangeIncl[Type](0, math.MaxUint8)
/**
This should cover all possible cases. The hardcoded assertions below serve as
a sanity check and documentation.
*/
for _, one := range enum {
for _, two := range enum {
if int(one+two) == int(one)+int(two) {
gtest.Eq(fun(one, two), one+two, one, two)
continue
}
gtest.PanicStr(
fmt.Sprintf(`addition overflow for uint8: %v + %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(0, 0), 0)
gtest.Eq(fun(3, 5), 8)
gtest.Eq(fun(13, 7), 20)
gtest.Eq(fun(103, 152), 255)
gtest.PanicStr(
`addition overflow for uint8: 255 + 255 = 254`,
func() { fun(255, 255) },
)
gtest.PanicStr(
`addition overflow for uint8: 103 + 153 = 0`,
func() { fun(103, 153) },
)
gtest.PanicStr(
`addition overflow for uint8: 199 + 239 = 182`,
func() { fun(199, 239) },
)
}
func TestAdd_int8(t *testing.T) {
defer gtest.Catch(t)
type Type = int8
fun := gg.Add[Type]
enum := gg.RangeIncl[Type](math.MinInt8, math.MaxInt8)
/**
This should cover all possible cases. The hardcoded assertions below serve as
a sanity check and documentation.
*/
for _, one := range enum {
for _, two := range enum {
if int(one+two) == int(one)+int(two) {
gtest.Eq(fun(one, two), one+two, one, two)
continue
}
gtest.PanicStr(
fmt.Sprintf(`addition overflow for int8: %v + %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(0, 0), 0)
gtest.Eq(fun(3, 5), 8)
gtest.Eq(fun(13, 7), 20)
gtest.Eq(fun(79, 48), 127)
gtest.Eq(fun(-3, 5), 2)
gtest.Eq(fun(-13, 7), -6)
gtest.Eq(fun(-79, 48), -31)
gtest.Eq(fun(3, -5), -2)
gtest.Eq(fun(13, -7), 6)
gtest.Eq(fun(79, -48), 31)
gtest.Eq(fun(-3, -5), -8)
gtest.Eq(fun(-13, -7), -20)
gtest.Eq(fun(-79, -49), -128)
gtest.Eq(fun(127, -128), -1)
gtest.Eq(fun(-128, 127), -1)
gtest.PanicStr(
`addition overflow for int8: 127 + 127 = -2`,
func() { fun(127, 127) },
)
gtest.PanicStr(
`addition overflow for int8: -128 + -128 = 0`,
func() { fun(-128, -128) },
)
gtest.PanicStr(
`addition overflow for int8: 79 + 97 = -80`,
func() { fun(79, 97) },
)
gtest.PanicStr(
`addition overflow for int8: -79 + -97 = 80`,
func() { fun(-79, -97) },
)
}
func TestAdd_uint16(t *testing.T) {
defer gtest.Catch(t)
type Type = uint16
fun := gg.Add[Type]
gtest.Eq(fun(0, 0), 0)
gtest.Eq(fun(3, 5), 8)
gtest.Eq(fun(13, 7), 20)
gtest.Eq(fun(21963, 43572), 65535)
gtest.PanicStr(
`addition overflow for uint16: 65535 + 65535 = 65534`,
func() { fun(65535, 65535) },
)
gtest.PanicStr(
`addition overflow for uint16: 21963 + 43573 = 0`,
func() { fun(21963, 43573) },
)
gtest.PanicStr(
`addition overflow for uint16: 43573 + 39571 = 17608`,
func() { fun(43573, 39571) },
)
}
func TestAdd_int16(t *testing.T) {
defer gtest.Catch(t)