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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
)
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 TestIsFrac(t *testing.T) {
defer gtest.Catch(t)
testIsFrac[float32]()
testIsFrac[float64]()
}
func testIsFrac[A gg.Float]() {
gtest.False(gg.IsFrac(A(math.NaN())))
gtest.False(gg.IsFrac(A(math.Inf(-1))))
gtest.False(gg.IsFrac(A(math.Inf(+1))))
gtest.False(gg.IsFrac(A(-0)))
gtest.False(gg.IsFrac(A(+0)))
gtest.False(gg.IsFrac(A(-1)))
gtest.False(gg.IsFrac(A(+1)))
gtest.False(gg.IsFrac(A(-2)))
gtest.False(gg.IsFrac(A(+2)))
gtest.False(gg.IsFrac(A(-12)))
gtest.False(gg.IsFrac(A(+12)))
gtest.False(gg.IsFrac(A(gg.MinSafeIntFloat32)))
gtest.False(gg.IsFrac(A(gg.MaxSafeIntFloat32)))
gtest.True(gg.IsFrac(A(-0.000001)))
gtest.True(gg.IsFrac(A(+0.000001)))
gtest.True(gg.IsFrac(A(-1.000001)))
gtest.True(gg.IsFrac(A(+1.000001)))
gtest.True(gg.IsFrac(A(-2.000001)))
gtest.True(gg.IsFrac(A(+2.000001)))
gtest.True(gg.IsFrac(A(-12.000001)))
gtest.True(gg.IsFrac(A(+12.000001)))
gtest.True(gg.IsFrac(A(-0.111111)))
gtest.True(gg.IsFrac(A(+0.111111)))
gtest.True(gg.IsFrac(A(-1.111111)))
gtest.True(gg.IsFrac(A(+1.111111)))
gtest.True(gg.IsFrac(A(-2.111111)))
gtest.True(gg.IsFrac(A(+2.111111)))
gtest.True(gg.IsFrac(A(-12.111111)))
gtest.True(gg.IsFrac(A(+12.111111)))
gtest.True(gg.IsFrac(A(-0.5)))
gtest.True(gg.IsFrac(A(+0.5)))
gtest.True(gg.IsFrac(A(-1.5)))
gtest.True(gg.IsFrac(A(+1.5)))
gtest.True(gg.IsFrac(A(-2.5)))
gtest.True(gg.IsFrac(A(+2.5)))
gtest.True(gg.IsFrac(A(-12.5)))
gtest.True(gg.IsFrac(A(+12.5)))
gtest.True(gg.IsFrac(A(-0.999999)))
gtest.True(gg.IsFrac(A(+0.999999)))
gtest.True(gg.IsFrac(A(-1.999999)))
gtest.True(gg.IsFrac(A(+1.999999)))
gtest.True(gg.IsFrac(A(-2.999999)))
gtest.True(gg.IsFrac(A(+2.999999)))
gtest.True(gg.IsFrac(A(-12.999999)))
gtest.True(gg.IsFrac(A(+12.999999)))
}
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`,
func() { gg.Pow[uint8](3, 19) },
)
gtest.PanicStr(
`unable to safely convert float64 1162261467 to int8`,
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)
gtest.PanicStr(
`unable to safely convert float64 720 to uint8`,
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)
}
}
/*
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)
type Type = int16
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(79, 48), 127)
gtest.Eq(fun(21963, 10804), 32767)
gtest.Eq(fun(-3, 5), 2)
gtest.Eq(fun(-13, 7), -6)
gtest.Eq(fun(-79, 48), -31)
gtest.Eq(fun(-21963, 10804), -11159)
gtest.Eq(fun(3, -5), -2)
gtest.Eq(fun(13, -7), 6)
gtest.Eq(fun(79, -48), 31)
gtest.Eq(fun(21963, -10804), 11159)
gtest.Eq(fun(-3, -5), -8)
gtest.Eq(fun(-13, -7), -20)
gtest.Eq(fun(-79, -49), -128)
gtest.Eq(fun(-21963, -10804), -32767)
gtest.Eq(fun(32767, -32768), -1)
gtest.Eq(fun(-32768, 32767), -1)
gtest.PanicStr(
`addition overflow for int16: 32767 + 32767 = -2`,
func() { fun(32767, 32767) },
)
gtest.PanicStr(
`addition overflow for int16: -32768 + -32768 = 0`,
func() { fun(-32768, -32768) },
)
gtest.PanicStr(
`addition overflow for int16: 21963 + 28436 = -15137`,
func() { fun(21963, 28436) },
)
gtest.PanicStr(
`addition overflow for int16: -21963 + -28436 = 15137`,
func() { fun(-21963, -28436) },
)
}
/*
Supplementary for `gg.Sub`.
Definitions:
A = minuend
B = subtrahend
V = valid output
O = overflow output
States for unsigned integers:
-->
0+++++++++++ | 0+++++
AB | V
A B | O
B A | V
AB | V
A B | O
B A | V
States for signed integers:
-->
---------0+++++++++ | ---------0+++++++++
AB | V
A B | V
B A | O V
A B | V
B A | V
A B | V O
B A | O V
AB | V
A B | V
B A | V
AB | V
A B | V
B A | V
*/
// TODO tests for wider types.
func TestSub_uint8(t *testing.T) {
defer gtest.Catch(t)
type Type = uint8
fun := gg.Sub[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(`subtraction overflow for uint8: %v - %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(0, 0), 0)
gtest.Eq(fun(1, 1), 0)
gtest.Eq(fun(1, 0), 1)
gtest.Eq(fun(5, 3), 2)
gtest.Eq(fun(13, 7), 6)
gtest.Eq(fun(152, 103), 49)
gtest.Eq(fun(255, 0), 255)
gtest.Eq(fun(255, 1), 254)
gtest.Eq(fun(255, 254), 1)
gtest.Eq(fun(255, 255), 0)
gtest.PanicStr(
`subtraction overflow for uint8: 0 - 1 = 255`,
func() { fun(0, 1) },
)
gtest.PanicStr(
`subtraction overflow for uint8: 0 - 255 = 1`,
func() { fun(0, 255) },
)
gtest.PanicStr(
`subtraction overflow for uint8: 103 - 153 = 206`,
func() { fun(103, 153) },
)
gtest.PanicStr(
`subtraction overflow for uint8: 79 - 255 = 80`,
func() { fun(79, 255) },
)
}
// TODO tests for wider types.
func TestSub_int8(t *testing.T) {
defer gtest.Catch(t)
type Type = int8
fun := gg.Sub[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(`subtraction overflow for int8: %v - %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(0, 0), 0)
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, 48), -127)
gtest.Eq(fun(-79, 49), -128)
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, -49), -30)
gtest.Eq(fun(127, 0), 127)
gtest.Eq(fun(127, 1), 126)
gtest.Eq(fun(127, 126), 1)
gtest.Eq(fun(127, 127), 0)
gtest.Eq(fun(-128, 0), -128)
gtest.Eq(fun(-128, -1), -127)
gtest.Eq(fun(-128, -127), -1)
gtest.Eq(fun(-128, -128), 0)
gtest.PanicStr(
`subtraction overflow for int8: -128 - 1 = 127`,
func() { fun(-128, 1) },
)
gtest.PanicStr(
`subtraction overflow for int8: -128 - 2 = 126`,
func() { fun(-128, 2) },
)
gtest.PanicStr(
`subtraction overflow for int8: -128 - 127 = 1`,
func() { fun(-128, 127) },
)
gtest.PanicStr(
`subtraction overflow for int8: 127 - -1 = -128`,
func() { fun(127, -1) },
)
gtest.PanicStr(
`subtraction overflow for int8: 127 - -2 = -127`,
func() { fun(127, -2) },
)
gtest.PanicStr(
`subtraction overflow for int8: 127 - -128 = -1`,
func() { fun(127, -128) },
)
gtest.PanicStr(
`subtraction overflow for int8: -79 - 50 = 127`,
func() { fun(-79, 50) },
)
gtest.PanicStr(
`subtraction overflow for int8: 79 - -49 = -128`,
func() { fun(79, -49) },
)
}
/*
Supplementary for `gg.Mul`.
Definitions:
A = multiplicand
B = multiplicand
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 | O OV
B A | O OV
States for signed integers:
-->
---------0+++++++++ | ---------0+++++++++
AB | V
A B | V
B A | V
A B | V
B A | V
A B | OV O O
B A | OV O O
AB | OV O O
A B | O O OV
B A | O O OV
AB | OV
A B | O O OV
B A | O O OV
*/
// TODO tests for wider types.
func TestMul_uint8(t *testing.T) {
defer gtest.Catch(t)
type Type = uint8
fun := gg.Mul[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(`multiplication overflow for uint8: %v * %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(3, 5), 15)
gtest.Eq(fun(5, 3), 15)
gtest.Eq(fun(5, 7), 35)
gtest.Eq(fun(7, 5), 35)
gtest.Eq(fun(7, 11), 77)
gtest.Eq(fun(11, 7), 77)
gtest.Eq(fun(11, 13), 143)
gtest.Eq(fun(13, 11), 143)
gtest.Eq(fun(13, 17), 221)
gtest.Eq(fun(17, 13), 221)
gtest.Eq(fun(17, 15), 255)
gtest.Eq(fun(15, 17), 255)
gtest.PanicStr(
`multiplication overflow for uint8: 255 * 255 = 1`,
func() { fun(255, 255) },
)
gtest.PanicStr(
`multiplication overflow for uint8: 17 * 19 = 67`,
func() { fun(17, 19) },
)
gtest.PanicStr(
`multiplication overflow for uint8: 19 * 17 = 67`,
func() { fun(19, 17) },
)
gtest.PanicStr(
`multiplication overflow for uint8: 2 * 128 = 0`,
func() { fun(2, 128) },
)
gtest.PanicStr(
`multiplication overflow for uint8: 128 * 2 = 0`,
func() { fun(128, 2) },
)
}
// TODO tests for wider types.
func TestMul_int8(t *testing.T) {
defer gtest.Catch(t)
type Type = int8
fun := gg.Mul[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(`multiplication overflow for int8: %v * %v`, one, two),
func() { fun(one, two) },
one, two,
)
}
}
gtest.Eq(fun(0, 0), 0)
gtest.Eq(fun(0, 3), 0)
gtest.Eq(fun(3, 0), 0)
gtest.Eq(fun(0, -3), 0)
gtest.Eq(fun(-3, 0), 0)
gtest.Eq(fun(1, 3), 3)
gtest.Eq(fun(3, 1), 3)