260 lines
6.9 KiB
Go
260 lines
6.9 KiB
Go
|
// Copyright (c) 2026 Petr Balvín <opensource@petrbalvin.org> (https://petrbalvin.org)
|
|||
|
|
// SPDX-License-Identifier: MIT
|
|||
|
|
|
|||
|
|
package core
|
|||
|
|
|
|||
|
|
import (
|
|||
|
|
"math"
|
|||
|
|
"strings"
|
|||
|
|
"testing"
|
|||
|
|
)
|
|||
|
|
|
|||
|
|
func TestMathFuncs(t *testing.T) {
|
|||
|
|
f := mustFromFloats(t, []float64{1.0, 4.0}, 2)
|
|||
|
|
|
|||
|
|
sqrt := mustOk(Sqrt(f))
|
|||
|
|
if v, _ := FloatAt(sqrt, 0); v != 1.0 {
|
|||
|
|
t.Fatalf("Sqrt: %v", v)
|
|||
|
|
}
|
|||
|
|
log2 := mustOk(Log2(f))
|
|||
|
|
if v, _ := FloatAt(log2, 1); v != 2.0 {
|
|||
|
|
t.Fatalf("Log2: %v", v)
|
|||
|
|
}
|
|||
|
|
exp := mustOk(Exp(mustFromFloats(t, []float64{0}, 1)))
|
|||
|
|
if v, _ := FloatAt(exp, 0); math.Abs(v-1) > 1e-12 {
|
|||
|
|
t.Fatalf("Exp(0) must be 1: %v", v)
|
|||
|
|
}
|
|||
|
|
log := mustOk(Log(mustFromFloats(t, []float64{1}, 1)))
|
|||
|
|
if v, _ := FloatAt(log, 0); v != 0 {
|
|||
|
|
t.Fatalf("Log(1): %v", v)
|
|||
|
|
}
|
|||
|
|
log10 := mustOk(Log10(mustFromFloats(t, []float64{10}, 1)))
|
|||
|
|
if v, _ := FloatAt(log10, 0); v != 1 {
|
|||
|
|
t.Fatalf("Log10(10): %v", v)
|
|||
|
|
}
|
|||
|
|
sin := mustOk(Sin(mustFromFloats(t, []float64{0}, 1)))
|
|||
|
|
if v, _ := FloatAt(sin, 0); v != 0 {
|
|||
|
|
t.Fatalf("Sin(0): %v", v)
|
|||
|
|
}
|
|||
|
|
cos := mustOk(Cos(mustFromFloats(t, []float64{0}, 1)))
|
|||
|
|
if v, _ := FloatAt(cos, 0); v != 1 {
|
|||
|
|
t.Fatalf("Cos(0): %v", v)
|
|||
|
|
}
|
|||
|
|
tan := mustOk(Tan(mustFromFloats(t, []float64{0}, 1)))
|
|||
|
|
if v, _ := FloatAt(tan, 0); v != 0 {
|
|||
|
|
t.Fatalf("Tan(0): %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// IEEE domain rules: negatives yield NaN, never an error.
|
|||
|
|
neg := mustFromFloats(t, []float64{-1}, 1)
|
|||
|
|
sq, err := Sqrt(neg)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("Sqrt(-1): %v", err)
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(sq, 0); !math.IsNaN(v) {
|
|||
|
|
t.Fatalf("Sqrt(-1): %v", v)
|
|||
|
|
}
|
|||
|
|
lg, _ := Log(neg)
|
|||
|
|
if v, _ := FloatAt(lg, 0); !math.IsNaN(v) {
|
|||
|
|
t.Fatalf("Log(-1): %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// int arrays convert for the transcendental family.
|
|||
|
|
i := mustFromInts(t, []int64{4}, 1)
|
|||
|
|
isqrtArr := mustOk(Sqrt(i))
|
|||
|
|
isqrt, _ := FloatAt(isqrtArr, 0)
|
|||
|
|
if isqrt != 2 || isqrtArr.Dtype() != Float {
|
|||
|
|
t.Fatalf("Sqrt on int: %s", isqrtArr)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// complex arrays error for the real family.
|
|||
|
|
c := mustFromComplexes(t, []complex128{1}, 1)
|
|||
|
|
if _, err := Exp(c); err == nil || !strings.Contains(err.Error(), "not supported") {
|
|||
|
|
t.Fatalf("Exp complex: %v", err)
|
|||
|
|
}
|
|||
|
|
if _, err := Sin(c); err == nil {
|
|||
|
|
t.Fatalf("Sin complex must error")
|
|||
|
|
}
|
|||
|
|
if _, err := Floor(c); err == nil || !strings.Contains(err.Error(), "no rounding") {
|
|||
|
|
t.Fatalf("Floor complex: %v", err)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
func TestAbs(t *testing.T) {
|
|||
|
|
i := mustFromInts(t, []int64{-5, 3}, 2)
|
|||
|
|
ai := Abs(i)
|
|||
|
|
if ai.Dtype() != Int {
|
|||
|
|
t.Fatalf("Abs int dtype: %s", ai.Dtype())
|
|||
|
|
}
|
|||
|
|
if v, _ := IntAt(ai, 0); v != 5 {
|
|||
|
|
t.Fatalf("Abs int: %d", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
f := mustFromFloats(t, []float64{-2.5}, 1)
|
|||
|
|
if v, _ := FloatAt(Abs(f), 0); v != 2.5 {
|
|||
|
|
t.Fatalf("Abs float: %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Complex magnitude is real.
|
|||
|
|
c := mustFromComplexes(t, []complex128{complex(3, 4)}, 1)
|
|||
|
|
ac := Abs(c)
|
|||
|
|
if ac.Dtype() != Float {
|
|||
|
|
t.Fatalf("Abs complex dtype: %s", ac.Dtype())
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(ac, 0); v != 5 {
|
|||
|
|
t.Fatalf("Abs complex: %v", v)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
func TestRounding(t *testing.T) {
|
|||
|
|
f := mustFromFloats(t, []float64{2.7, -2.7}, 2)
|
|||
|
|
floor := mustOk(Floor(f))
|
|||
|
|
if v, _ := FloatAt(floor, 0); v != 2 {
|
|||
|
|
t.Fatalf("Floor: %v", v)
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(floor, 1); v != -3 {
|
|||
|
|
t.Fatalf("Floor neg: %v", v)
|
|||
|
|
}
|
|||
|
|
ceil := mustOk(Ceil(f))
|
|||
|
|
if v, _ := FloatAt(ceil, 0); v != 3 {
|
|||
|
|
t.Fatalf("Ceil: %v", v)
|
|||
|
|
}
|
|||
|
|
round := mustOk(Round(f))
|
|||
|
|
if v, _ := FloatAt(round, 0); v != 3 {
|
|||
|
|
t.Fatalf("Round: %v", v)
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(round, 1); v != -3 {
|
|||
|
|
t.Fatalf("Round half away: %v", v)
|
|||
|
|
}
|
|||
|
|
trunc := mustOk(Trunc(f))
|
|||
|
|
if v, _ := FloatAt(trunc, 0); v != 2 {
|
|||
|
|
t.Fatalf("Trunc: %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Int arrays are identity copies.
|
|||
|
|
i := mustFromInts(t, []int64{7}, 1)
|
|||
|
|
ir, err := Floor(i)
|
|||
|
|
if err != nil || ir.Dtype() != Int {
|
|||
|
|
t.Fatalf("Floor on int: %s %v", ir, err)
|
|||
|
|
}
|
|||
|
|
if v, _ := IntAt(ir, 0); v != 7 {
|
|||
|
|
t.Fatalf("Floor int identity: %d", v)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
func TestPow(t *testing.T) {
|
|||
|
|
a := mustFromInts(t, []int64{2, 3}, 2)
|
|||
|
|
e := mustFromInts(t, []int64{10, 2}, 2)
|
|||
|
|
|
|||
|
|
p, err := Pow(a, e)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("Pow: %v", err)
|
|||
|
|
}
|
|||
|
|
if p.Dtype() != Int {
|
|||
|
|
t.Fatalf("Pow dtype: %s", p.Dtype())
|
|||
|
|
}
|
|||
|
|
if v, _ := IntAt(p, 0); v != 1024 {
|
|||
|
|
t.Fatalf("Pow 2^10: %d", v)
|
|||
|
|
}
|
|||
|
|
if v, _ := IntAt(p, 1); v != 9 {
|
|||
|
|
t.Fatalf("Pow 3^2: %d", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Float promotion.
|
|||
|
|
pf, err := Pow(mustFromFloats(t, []float64{4.0, 9.0}, 2), e)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("Pow promote: %v", err)
|
|||
|
|
}
|
|||
|
|
if pf.Dtype() != Float {
|
|||
|
|
t.Fatalf("Pow promote dtype: %s", pf.Dtype())
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(pf, 0); v != 1048576 {
|
|||
|
|
t.Fatalf("Pow 4^10: %v", v)
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(pf, 1); v != 81 {
|
|||
|
|
t.Fatalf("Pow 9^2: %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Scalar exponent.
|
|||
|
|
pi, err := PowI(a, 3)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("PowI: %v", err)
|
|||
|
|
}
|
|||
|
|
if v, _ := IntAt(pi, 0); v != 8 {
|
|||
|
|
t.Fatalf("PowI 2^3: %d", v)
|
|||
|
|
}
|
|||
|
|
pif, err := PowI(mustFromFloats(t, []float64{9.0}, 1), 2)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("PowI float: %v", err)
|
|||
|
|
}
|
|||
|
|
if v, _ := FloatAt(pif, 0); v != 81 {
|
|||
|
|
t.Fatalf("PowI float value: %v", v)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Negative int exponent on an int array errors; on float it works.
|
|||
|
|
if _, err := PowI(a, -1); err == nil || !strings.Contains(err.Error(), "negative exponent") {
|
|||
|
|
t.Fatalf("PowI negative: %v", err)
|
|||
|
|
}
|
|||
|
|
if _, err := PowI(mustFromFloats(t, []float64{2}, 1), -2); err != nil {
|
|||
|
|
t.Fatalf("PowI negative on float: %v", err)
|
|||
|
|
}
|
|||
|
|
// PowI carries no narrow kernel: the refusal names
|
|||
|
|
// the dtype and the conversion the contract asks for.
|
|||
|
|
if _, err := PowI(narrowInt8s(t, []int8{2, 3}, 2), 2); err == nil ||
|
|||
|
|
!strings.Contains(err.Error(), "convert with Astype") ||
|
|||
|
|
!strings.Contains(err.Error(), "int8") {
|
|||
|
|
t.Fatalf("PowI int8: %v", err)
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Complex powers use exact repeated squaring on complex128.
|
|||
|
|
c := mustFromComplexes(t, []complex128{2 + 3i}, 1)
|
|||
|
|
if _, err := Pow(c, c); err != nil {
|
|||
|
|
t.Fatalf("Pow complex: %v", err)
|
|||
|
|
}
|
|||
|
|
squared := mustOk(PowI(c, 2))
|
|||
|
|
want := (2 + 3i) * (2 + 3i) // −5+12i
|
|||
|
|
if squared.RawComplexes()[0] != want {
|
|||
|
|
t.Fatalf("PowI complex = %v, want %v", squared.RawComplexes()[0], want)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// mustOk unwraps a call that must succeed; a panic here fails the test.
|
|||
|
|
func mustOk(a *Array, err error) *Array {
|
|||
|
|
if err != nil {
|
|||
|
|
panic(err)
|
|||
|
|
}
|
|||
|
|
return a
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// TestPowDenseFloatOperands pins the dense float base against a dense
|
|||
|
|
// float exponent, the pair whose kernel holds both payloads as slices;
|
|||
|
|
// an int exponent and a promoted pair take the closure walk instead.
|
|||
|
|
func TestPowDenseFloatOperands(t *testing.T) {
|
|||
|
|
base := mustFromFloats(t, []float64{4, 9, 2, 2}, 2, 2)
|
|||
|
|
exp := mustFromFloats(t, []float64{10, 2, 3, -1}, 2, 2)
|
|||
|
|
got, err := Pow(base, exp)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("Pow float: %v", err)
|
|||
|
|
}
|
|||
|
|
if got.Dtype() != Float {
|
|||
|
|
t.Fatalf("Pow float dtype: %s", got.Dtype())
|
|||
|
|
}
|
|||
|
|
for i, want := range []float64{1048576, 81, 8, 0.5} {
|
|||
|
|
if v := got.RawFloats()[i]; v != want {
|
|||
|
|
t.Fatalf("Pow float [%d] = %v, want %v", i, v, want)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
// The float32 pair takes the same kernel one width down.
|
|||
|
|
b32 := mustFromFloat32s(t, []float32{4, 2}, 2)
|
|||
|
|
e32 := mustFromFloat32s(t, []float32{2, -1}, 2)
|
|||
|
|
p32, err := Pow(b32, e32)
|
|||
|
|
if err != nil {
|
|||
|
|
t.Fatalf("Pow float32: %v", err)
|
|||
|
|
}
|
|||
|
|
for i, want := range []float32{16, 0.5} {
|
|||
|
|
if v := p32.RawFloat32s()[i]; v != want {
|
|||
|
|
t.Fatalf("Pow float32 [%d] = %v, want %v", i, v, want)
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
}
|