Reimplement and simplify Hugo's template system

See #13541 for details.

Fixes #13545
Fixes #13515
Closes #7964
Closes #13365
Closes #12988
Closes #4891

tpl/math/init.go

@@ -24,7 +24,7 @@ const name = "math"
 
 func init() {
 	f := func(d *deps.Deps) *internal.TemplateFuncsNamespace {
-		ctx := New()
+		ctx := New(d)
 
 		ns := &internal.TemplateFuncsNamespace{
 			Name:    name,

tpl/math/math.go

@@ -20,9 +20,9 @@ import (
 	"math"
 	"math/rand"
 	"reflect"
-	"sync/atomic"
 
 	_math "github.com/gohugoio/hugo/common/math"
+	"github.com/gohugoio/hugo/deps"
 	"github.com/spf13/cast"
 )
 
@@ -32,12 +32,16 @@ var (
 )
 
 // New returns a new instance of the math-namespaced template functions.
-func New() *Namespace {
-	return &Namespace{}
+func New(d *deps.Deps) *Namespace {
+	return &Namespace{
+		d: d,
+	}
 }
 
 // Namespace provides template functions for the "math" namespace.
-type Namespace struct{}
+type Namespace struct {
+	d *deps.Deps
+}
 
 // Abs returns the absolute value of n.
 func (ns *Namespace) Abs(n any) (float64, error) {
@@ -345,8 +349,6 @@ func (ns *Namespace) doArithmetic(inputs []any, operation rune) (value any, err
 	return
 }
 
-var counter uint64
-
 // Counter increments and returns a global counter.
 // This was originally added to be used in tests where now.UnixNano did not
 // have the needed precision (especially on Windows).
@@ -354,5 +356,5 @@ var counter uint64
 // and the counter will reset on new builds.
 // <docsmeta>{"identifiers": ["now.UnixNano"] }</docsmeta>
 func (ns *Namespace) Counter() uint64 {
-	return atomic.AddUint64(&counter, uint64(1))
+	return ns.d.Counters.MathCounter.Add(1)
 }

tpl/math/math_test.go

@@ -24,7 +24,7 @@ func TestBasicNSArithmetic(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	type TestCase struct {
 		fn     func(inputs ...any) (any, error)
@@ -66,7 +66,7 @@ func TestBasicNSArithmetic(t *testing.T) {
 func TestAbs(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -93,7 +93,7 @@ func TestAbs(t *testing.T) {
 func TestCeil(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -126,7 +126,7 @@ func TestFloor(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -159,7 +159,7 @@ func TestLog(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -200,7 +200,7 @@ func TestSqrt(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -239,7 +239,7 @@ func TestMod(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -279,7 +279,7 @@ func TestModBool(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -325,7 +325,7 @@ func TestRound(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -358,7 +358,7 @@ func TestPow(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -398,7 +398,7 @@ func TestMax(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	type TestCase struct {
 		values []any
@@ -452,7 +452,7 @@ func TestMin(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	type TestCase struct {
 		values []any
@@ -507,7 +507,7 @@ func TestSum(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	mustSum := func(values ...any) any {
 		result, err := ns.Sum(values...)
@@ -530,7 +530,7 @@ func TestProduct(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	mustProduct := func(values ...any) any {
 		result, err := ns.Product(values...)
@@ -554,7 +554,7 @@ func TestPi(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	expect := 3.1415
 	result := ns.Pi()
@@ -570,7 +570,7 @@ func TestSin(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -604,7 +604,7 @@ func TestCos(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -638,7 +638,7 @@ func TestTan(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
 
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		a      any
@@ -680,7 +680,7 @@ func TestTan(t *testing.T) {
 func TestAsin(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -715,7 +715,7 @@ func TestAsin(t *testing.T) {
 func TestAcos(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -751,7 +751,7 @@ func TestAcos(t *testing.T) {
 func TestAtan(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -782,7 +782,7 @@ func TestAtan(t *testing.T) {
 func TestAtan2(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -821,7 +821,7 @@ func TestAtan2(t *testing.T) {
 func TestToDegrees(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any
@@ -852,7 +852,7 @@ func TestToDegrees(t *testing.T) {
 func TestToRadians(t *testing.T) {
 	t.Parallel()
 	c := qt.New(t)
-	ns := New()
+	ns := New(nil)
 
 	for _, test := range []struct {
 		x      any