// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package trace

import (
	"cmp"
	"math"
	"slices"
)

// mud is an updatable mutator utilization distribution.
//
// This is a continuous distribution of duration over mutator
// utilization. For example, the integral from mutator utilization a

	const uniforms = 100
	for trackMass := 0.0; trackMass < uniforms; trackMass += uniforms / 50 {
		var mud mud
		mass := 0.0
		mud.setTrackMass(trackMass)
		for i := 0; i < uniforms; i++ {
			area, l, r := rnd.Float64(), rnd.Float64(), rnd.Float64()
			mud.add(l, r, area)
			mass += area
			l, u, ok := mud.approxInvCumulativeSum()
			inv, ok2 := mud.invCumulativeSum(trackMass)

			if mass < trackMass {
				if ok {

			want := mmuSlow(mu[0], window)
			got := mmuCurve.MMU(window)
			if !aeq(want, got) {
				t.Errorf("want %f, got %f mutator utilization in window %s", want, got, window)
			}
		}

		// Test MUD with band optimization against MUD without band
		// optimization. We don't have a simple testing implementation
		// of MUDs (the simplest implementation is still quite
		// complex), but this is still a pretty good test.

	// Accumulate the MUD until we have precise information for
	// everything to the left of qMass.
	acc := accumulator{mmu: 1.0, bound: 1.0, preciseMass: qMass, mud: new(mud)}
	acc.mud.setTrackMass(qMass)
	c.mmu(window, &acc)

	// Evaluate the quantiles on the accumulated MUD.
	out := make([]float64, len(quantiles))
	for i := range out {
		mu, _ := acc.mud.invCumulativeSum(float64(duration) * quantiles[i])

		if quantiles == nil {
			plot[i] = make([]float64, 2)
			plot[i][1] = mmuCurve.MMU(window)
		} else {
			plot[i] = make([]float64, 1+len(quantiles))
			copy(plot[i][1:], mmuCurve.MUD(window, quantiles))
		}
		plot[i][0] = float64(window)
	}

	// Create JSON response.
	err = json.NewEncoder(w).Encode(map[string]any{"xMin": int64(xMin), "xMax": int64(xMax), "quantiles": quantiles, "curve": plot})

	"testing"

	"cmd/internal/sys"
)

var AuthorPaidByTheColumnInch struct {

and dash one another into pieces, and vanish into Air, and Vapour, and Flame. When Salt of Tartar _per deliquium_, being poured into the Solution of any Metal, precipitates the Metal and makes it fall down to the bottom of the Liquor in the form of Mud: Does not this argue that the acid Particles are attracted more strongly by the Salt of Tartar than by the Metal, and by the stronger Attraction go from the Metal to the Salt of Tartar? And so when a Solution of Iron in _Aqua fortis_ dissolves the _Lapis...

When Salt of Tartar _per deliquium_, being poured into the Solution of
any Metal, precipitates the Metal and makes it fall down to the bottom
of the Liquor in the form of Mud: Does not this argue that the acid
Particles are attracted more strongly by the Salt of Tartar than by the
Metal, and by the stronger Attraction go from the Metal to the Salt of