예제 #1
0
파일: postproc.go 프로젝트: cpmech/goga
// CheckFront0 returns front0 and number of failed/success
func CheckFront0(opt *Optimiser, verbose bool) (nfailed int, front0 []*Solution) {
	front0 = make([]*Solution, 0)
	var nsuccess int
	for _, sol := range opt.Solutions {
		var failed bool
		for _, oor := range sol.Oor {
			if oor > 0 {
				failed = true
				break
			}
		}
		if failed {
			nfailed++
		} else {
			nsuccess++
			if sol.FrontId == 0 {
				front0 = append(front0, sol)
			}
		}
	}
	if verbose {
		if nfailed > 0 {
			io.PfRed("N failed = %d out of %d\n", nfailed, opt.Nsol)
		} else {
			io.PfGreen("N success = %d out of %d\n", nsuccess, opt.Nsol)
		}
		io.PfYel("N front 0 = %d\n", len(front0))
	}
	return
}
예제 #2
0
func Test_shp01(tst *testing.T) {

	//verbose()
	chk.PrintTitle("shp01")

	r := []float64{0, 0, 0}

	verb := true
	for name, _ := range Functions {

		io.Pfyel("--------------------------------- %-6s---------------------------------\n", name)

		// check S
		tol := 1e-17
		if name == "tri10" {
			tol = 1e-14
		}
		checkShape(tst, name, tol, verb)

		// check dSdR
		tol = 1e-14
		if name == "lin5" || name == "lin4" || name == "tri10" || name == "qua12" || name == "qua16" {
			tol = 1e-10
		}
		if name == "tri15" {
			tol = 1e-9
		}
		checkDerivs(tst, name, r, tol, verb)

		io.PfGreen("OK\n")
	}
}
예제 #3
0
func Test_imap(tst *testing.T) {

	//utl.Tsilent = false
	chk.PrintTitle("Test imap")

	for name, shape := range factory {
		gndim := shape.Gndim
		if gndim == 1 {
			continue
		}

		io.Pfyel("--------------------------------- %-6s---------------------------------\n", name)

		// check inverse mapping
		tol := 1e-14
		noise := 0.01
		if name == "tri10" {
			tol = 1e-14
		}
		if shape.FaceNvertsMax > 2 {
			noise = 0.0
		}
		nverts := shape.Nverts
		C := la.MatAlloc(gndim, nverts)
		s := []float64{rand.Float64(), rand.Float64(), rand.Float64()} // scale factors
		la.MatCopy(C, 1.0, shape.NatCoords)
		_ = tol
		io.Pf("nverts:%v\n", nverts)
		io.Pf("gndim:%v\n", gndim)
		for i := 0; i < gndim; i++ {
			for j := 0; j < nverts; j++ {
				C[i][j] *= s[i]
				C[i][j] += noise * rand.Float64() // noise
			}
		}

		r := make([]float64, 3)
		x := make([]float64, 3)
		R := la.MatAlloc(gndim, nverts)

		for j := 0; j < nverts; j++ {
			for i := 0; i < gndim; i++ {
				x[i] = C[i][j]
			}
			err := shape.InvMap(r, x, C)
			io.Pf("r:%v\n", r)
			_ = err
			for i := 0; i < gndim; i++ {
				R[i][j] = r[i]
			}
		}

		chk.Matrix(tst, "checking", tol, R, shape.NatCoords)

		io.PfGreen("OK\n")
	}
}
예제 #4
0
func main() {

	mpi.Start(false)
	defer func() {
		mpi.Stop(false)
	}()

	if mpi.Rank() == 0 {
		io.PfYel("\nTest MPI 04\n")
	}

	for i := 0; i < 60; i++ {
		time.Sleep(1e9)
		io.Pf("hello from %v\n", mpi.Rank())
		if mpi.Rank() == 2 && i == 3 {
			io.PfGreen("rank = 3 wants to abort (the following error is OK)\n")
			mpi.Abort()
		}
	}
}
예제 #5
0
func Test_shape01(tst *testing.T) {

	//verbose()
	chk.PrintTitle("shape01")

	r := []float64{0, 0, 0}

	verb := true
	for name, shape := range factory {

		io.Pfyel("--------------------------------- %-6s---------------------------------\n", name)

		// check S
		tol := 1e-17
		if name == "tri10" {
			tol = 1e-14
		}
		CheckShape(tst, shape, tol, verb)

		// check Sf
		tol = 1e-18
		CheckShapeFace(tst, shape, tol, verb)

		// check dSdR
		tol = 1e-14
		if name == "lin5" || name == "lin4" || name == "tri10" || name == "qua12" || name == "qua16" {
			tol = 1e-10
		}
		if name == "tri15" {
			tol = 1e-9
		}
		CheckDSdR(tst, shape, r, tol, verb)

		io.PfGreen("OK\n")
	}
}
예제 #6
0
// Run computes β starting witn an initial guess
func (o *ReliabFORM) Run(βtrial float64, verbose bool, args ...interface{}) (β float64, μ, σ, x []float64) {

	// initial random variables
	β = βtrial
	nx := len(o.μ)
	μ = make([]float64, nx) // mean values (equivalent normal value)
	σ = make([]float64, nx) // deviation values (equivalent normal value)
	x = make([]float64, nx) // current vector of random variables defining min(β)
	for i := 0; i < nx; i++ {
		μ[i] = o.μ[i]
		σ[i] = o.σ[i]
		x[i] = o.μ[i]
	}

	// lognormal distribution structure
	var lnd DistLogNormal

	// has lognormal random variable?
	haslrv := false
	for _, found := range o.lrv {
		if found {
			haslrv = true
			break
		}
	}

	// function to compute β with x-constant
	//  gβ(β) = g(μ - β・A・σ) = 0
	var err error
	gβfcn := func(fy, y []float64) error {
		βtmp := y[0]
		for i := 0; i < nx; i++ {
			o.xtmp[i] = μ[i] - βtmp*o.α[i]*σ[i]
		}
		fy[0], err = o.gfcn(o.xtmp, args)
		if err != nil {
			chk.Panic("cannot compute gfcn(%v):\n%v", o.xtmp, err)
		}
		return nil
	}

	// derivative of gβ w.r.t β
	hβfcn := func(dfdy [][]float64, y []float64) error {
		βtmp := y[0]
		for i := 0; i < nx; i++ {
			o.xtmp[i] = μ[i] - βtmp*o.α[i]*σ[i]
		}
		err = o.hfcn(o.dgdx, o.xtmp, args)
		if err != nil {
			chk.Panic("cannot compute hfcn(%v):\n%v", o.xtmp, err)
		}
		dfdy[0][0] = 0
		for i := 0; i < nx; i++ {
			dfdy[0][0] -= o.dgdx[i] * o.α[i] * σ[i]
		}
		return nil
	}

	// nonlinear solver with y[0] = β
	// solving:  gβ(β) = g(μ - β・A・σ) = 0
	var nls num.NlSolver
	nls.Init(1, gβfcn, nil, hβfcn, true, false, nil)
	defer nls.Clean()

	// message
	if verbose {
		io.Pf("\n%s", io.StrThickLine(60))
	}

	// plotting
	plot := o.PlotFnk != ""
	if nx != 2 {
		plot = false
	}
	if plot {
		if o.PlotNp < 3 {
			o.PlotNp = 41
		}
		var umin, umax, vmin, vmax float64
		if o.PlotCf < 1 {
			o.PlotCf = 2
		}
		if len(o.PlotUrange) == 0 {
			umin, umax = μ[0]-o.PlotCf*μ[0], μ[0]+o.PlotCf*μ[0]
			vmin, vmax = μ[1]-o.PlotCf*μ[1], μ[1]+o.PlotCf*μ[1]
		} else {
			chk.IntAssert(len(o.PlotUrange), 2)
			chk.IntAssert(len(o.PlotVrange), 2)
			umin, umax = o.PlotUrange[0], o.PlotUrange[1]
			vmin, vmax = o.PlotVrange[0], o.PlotVrange[1]
		}
		o.PlotU, o.PlotV = utl.MeshGrid2D(umin, umax, vmin, vmax, o.PlotNp, o.PlotNp)
		o.PlotZ = la.MatAlloc(o.PlotNp, o.PlotNp)
		plt.SetForEps(0.8, 300)
		for i := 0; i < o.PlotNp; i++ {
			for j := 0; j < o.PlotNp; j++ {
				o.xtmp[0] = o.PlotU[i][j]
				o.xtmp[1] = o.PlotV[i][j]
				o.PlotZ[i][j], err = o.gfcn(o.xtmp, args)
				if err != nil {
					chk.Panic("cannot compute gfcn(%v):\n%v", x, err)
				}
			}
		}
		plt.Contour(o.PlotU, o.PlotV, o.PlotZ, "")
		plt.ContourSimple(o.PlotU, o.PlotV, o.PlotZ, true, 8, "levels=[0], colors=['yellow']")
		plt.PlotOne(x[0], x[1], "'ro', label='initial'")
	}

	// iterations to find β
	var dat VarData
	B := []float64{β}
	itB := 0
	for itB = 0; itB < o.NmaxItB; itB++ {

		// message
		if verbose {
			gx, err := o.gfcn(x, args)
			if err != nil {
				chk.Panic("cannot compute gfcn(%v):\n%v", x, err)
			}
			io.Pf("%s itB=%d β=%g g=%g\n", io.StrThinLine(60), itB, β, gx)
		}

		// plot
		if plot {
			plt.PlotOne(x[0], x[1], "'r.'")
		}

		// compute direction cosines
		itA := 0
		for itA = 0; itA < o.NmaxItA; itA++ {

			// has lognormal random variable (lrv)
			if haslrv {

				// find equivalent normal mean and std deviation for lognormal variables
				for i := 0; i < nx; i++ {
					if o.lrv[i] {

						// set distribution
						dat.M, dat.S = o.μ[i], o.σ[i]
						lnd.Init(&dat)

						// update μ and σ
						fx := lnd.Pdf(x[i])
						Φinvx := (math.Log(x[i]) - lnd.M) / lnd.S
						φx := math.Exp(-Φinvx*Φinvx/2.0) / math.Sqrt2 / math.SqrtPi
						σ[i] = φx / fx
						μ[i] = x[i] - Φinvx*σ[i]
					}
				}
			}

			// compute direction cosines
			err = o.hfcn(o.dgdx, x, args)
			if err != nil {
				chk.Panic("cannot compute hfcn(%v):\n%v", x, err)
			}
			den := 0.0
			for i := 0; i < nx; i++ {
				den += math.Pow(o.dgdx[i]*σ[i], 2.0)
			}
			den = math.Sqrt(den)
			αerr := 0.0 // difference on α
			for i := 0; i < nx; i++ {
				αnew := o.dgdx[i] * σ[i] / den
				αerr += math.Pow(αnew-o.α[i], 2.0)
				o.α[i] = αnew
			}
			αerr = math.Sqrt(αerr)

			// message
			if verbose {
				io.Pf(" itA=%d\n", itA)
				io.Pf("%12s%12s%12s%12s\n", "x", "μ", "σ", "α")
				for i := 0; i < nx; i++ {
					io.Pf("%12.3f%12.3f%12.3f%12.3f\n", x[i], μ[i], σ[i], o.α[i])
				}
			}

			// update x-star
			for i := 0; i < nx; i++ {
				x[i] = μ[i] - β*o.α[i]*σ[i]
			}

			// check convergence on α
			if itA > 1 && αerr < o.TolA {
				if verbose {
					io.Pfgrey(". . . converged on α with αerr=%g . . .\n", αerr)
				}
				break
			}
		}

		// failed to converge on α
		if itA == o.NmaxItA {
			chk.Panic("failed to convege on α")
		}

		// compute new β
		B[0] = β
		nls.Solve(B, o.NlsSilent)
		βerr := math.Abs(B[0] - β)
		β = B[0]
		if o.NlsCheckJ {
			nls.CheckJ(B, o.NlsCheckJtol, true, false)
		}

		// update x-star
		for i := 0; i < nx; i++ {
			x[i] = μ[i] - β*o.α[i]*σ[i]
		}

		// check convergence on β
		if βerr < o.TolB {
			if verbose {
				io.Pfgrey2(". . . converged on β with βerr=%g . . .\n", βerr)
			}
			break
		}
	}

	// failed to converge on β
	if itB == o.NmaxItB {
		chk.Panic("failed to converge on β")
	}

	// message
	if verbose {
		gx, err := o.gfcn(x, args)
		if err != nil {
			chk.Panic("cannot compute gfcn(%v):\n%v", x, err)
		}
		io.Pfgreen("x = %v\n", x)
		io.Pfgreen("g = %v\n", gx)
		io.PfGreen("β = %v\n", β)
	}

	// plot
	if plot {
		plt.Gll("$x_0$", "$x_1$", "")
		plt.Cross("")
		plt.SaveD("/tmp/gosl", "fig_form_"+o.PlotFnk+".eps")
	}
	return
}
예제 #7
0
func Test_shape01(tst *testing.T) {

	//utl.Tsilent = false
	chk.PrintTitle("Test shape01")

	for name, shape := range factory {

		io.Pfyel("--------------------------------- %-6s---------------------------------\n", name)

		// check S
		tol := 1e-17
		errS := 0.0
		if name == "tri10" {
			tol = 1e-14
		}
		for n := 0; n < shape.Nverts; n++ {
			rst := []float64{0, 0, 0}
			for i := 0; i < shape.Gndim; i++ {
				rst[i] = shape.NatCoords[i][n]
			}
			shape.Func(shape.S, shape.dSdR, rst[0], rst[1], rst[2], false)
			io.Pforan("S = %v\n", shape.S)
			for m := 0; m < shape.Nverts; m++ {
				if n == m {
					errS += math.Abs(shape.S[m] - 1.0)
				} else {
					errS += math.Abs(shape.S[m])
				}
			}
		}
		if errS > tol {
			tst.Errorf("%s failed with err = %g\n", name, errS)
			return
		}

		// check dSdR
		tol = 1e-14
		h := 1.0e-1
		S_temp := make([]float64, shape.Nverts)
		if name == "lin5" || name == "tri15" || name == "lin4" || name == "tri10" || name == "qua12" || name == "qua16" {
			tol = 1.0e-10
		}
		for n := 0; n < shape.Nverts; n++ {
			rst := []float64{0, 0, 0}
			for i := 0; i < shape.Gndim; i++ {
				rst[i] = shape.NatCoords[i][n]
			}
			// analytical
			shape.Func(shape.S, shape.dSdR, rst[0], rst[1], rst[2], true)
			// numerical
			for i := 0; i < shape.Gndim; i++ {
				dSndRi, _ := num.DerivCentral(func(x float64, args ...interface{}) (Sn float64) {
					rst_temp := []float64{rst[0], rst[1], rst[2]}
					rst_temp[i] = x
					shape.Func(S_temp, nil, rst_temp[0], rst_temp[1], rst_temp[2], false)
					Sn = S_temp[n]
					return
				}, rst[i], h)
				io.Pfgrey2("  dS%ddR%d @ [% 4.1f % 4.1f % 4.1f] = %v (num: %v)\n", n, i, rst[0], rst[1], rst[2], shape.dSdR[n][i], dSndRi)
				tol2 := tol
				if name == "tri15" && n == 11 && i == 1 {
					tol2 = 1.0e-9
				}
				if math.Abs(shape.dSdR[n][i]-dSndRi) > tol2 {
					tst.Errorf("%s dS%ddR%d failed with err = %g\n", name, n, i, math.Abs(shape.dSdR[n][i]-dSndRi))
					return
				}
				//chk.Scalar(tst, fmt.Sprintf("dS%ddR%d", n, i), tol2, dSdR[n][i], dSndRi)
			}
		}

		// check face vertices
		tol = 1e-17
		errS = 0.0
		if name == "tri10" {
			tol = 1e-14
		}

		nfaces := len(shape.FaceLocalV)
		if nfaces == 0 {
			continue
		}
		for k := 0; k < nfaces; k++ {
			for n := range shape.FaceLocalV[k] {
				rst := []float64{0, 0, 0}
				for i := 0; i < shape.Gndim; i++ {
					rst[i] = shape.NatCoords[i][n]
				}
				shape.Func(shape.S, shape.dSdR, rst[0], rst[1], rst[2], false)
				io.Pforan("S = %v\n", shape.S)
				for m := range shape.FaceLocalV[k] {
					if n == m {
						errS += math.Abs(shape.S[m] - 1.0)
					} else {
						errS += math.Abs(shape.S[m])
					}
				}
			}
		}
		io.Pforan("%g\n", errS)
		if errS > tol {
			tst.Errorf("%s failed with err = %g\n", name, errS)
			return
		}

		io.PfGreen("OK\n")
	}
}
예제 #8
0
func Test_int01(tst *testing.T) {

	//verbose()
	chk.PrintTitle("int01. organise sequence of ints")
	io.Pf("\n")

	// initialise random numbers generator
	rnd.Init(0) // 0 => use current time as seed

	// parameters
	C := NewConfParams()
	C.Nova = 1
	C.Noor = 0
	C.Nisl = 1
	C.Ninds = 20
	C.RegTol = 0
	C.NumInts = 20
	//C.GAtype = "crowd"
	C.CrowdSize = 2
	C.Tf = 50
	C.Verbose = chk.Verbose
	C.CalcDerived()

	// mutation function
	C.Ops.MtInt = func(A []int, time int, ops *OpsData) {
		size := len(A)
		if !rnd.FlipCoin(ops.Pm) || size < 1 {
			return
		}
		pos := rnd.IntGetUniqueN(0, size, ops.Nchanges)
		for _, i := range pos {
			if A[i] == 1 {
				A[i] = 0
			}
			if A[i] == 0 {
				A[i] = 1
			}
		}
	}

	// generation function
	C.PopIntGen = func(id int, cc *ConfParams) Population {
		o := make([]*Individual, cc.Ninds)
		genes := make([]int, cc.NumInts)
		for i := 0; i < cc.Ninds; i++ {
			for j := 0; j < cc.NumInts; j++ {
				genes[j] = rand.Intn(2)
			}
			o[i] = NewIndividual(cc.Nova, cc.Noor, cc.Nbases, genes)
		}
		return o
	}

	// objective function
	C.OvaOor = func(ind *Individual, idIsland, time int, report *bytes.Buffer) {
		score := 0.0
		count := 0
		for _, val := range ind.Ints {
			if val == 0 && count%2 == 0 {
				score += 1.0
			}
			if val == 1 && count%2 != 0 {
				score += 1.0
			}
			count++
		}
		ind.Ovas[0] = 1.0 / (1.0 + score)
		return
	}

	// run optimisation
	evo := NewEvolver(C)
	evo.Run()

	// results
	ideal := 1.0 / (1.0 + float64(C.NumInts))
	io.PfGreen("\nBest = %v\nBestOV = %v  (ideal=%v)\n", evo.Best.Ints, evo.Best.Ovas[0], ideal)
}