Example #1
0
func main() {

	// catch errors
	var tst testing.T
	defer func() {
		if mpi.Rank() == 0 {
			if err := recover(); err != nil {
				io.PfRed("ERROR: %v\n", err)
			}
			if tst.Failed() {
				io.PfRed("test failed\n")
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// start global variables and log
	analysis := fem.NewFEM("data/bh16.sim", "", true, true, false, true, true, 0)

	// run simulation
	err := analysis.Run()
	if err != nil {
		tst.Error("Run failed\n")
		return
	}

	// check
	skipK := true
	tolK := 1e-12
	tolu := 1e-15
	tols := 1e-12
	fem.TestingCompareResultsU(&tst, "data/bh16.sim", "cmp/bh16.cmp", "", tolK, tolu, tols, skipK, true)
}
Example #2
0
func main() {

	// catch errors
	var tst testing.T
	defer func() {
		if mpi.Rank() == 0 {
			if err := recover(); err != nil {
				io.PfRed("ERROR: %v\n", err)
			}
			if tst.Failed() {
				io.PfRed("test failed\n")
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// start global variables and log
	analysis := fem.NewFEM("data/p01.sim", "", true, true, false, true, true, 0)

	// run simulation
	err := analysis.Run()
	if err != nil {
		tst.Error("Run failed\n")
		return
	}
}
Example #3
0
func main() {

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

	if mpi.Rank() == 0 {
		io.PfYel("\nTest MPI 03\n")
	}
	if mpi.Size() != 3 {
		chk.Panic("this test needs 3 processors")
	}
	x := []int{-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}
	n := len(x)
	id, sz := mpi.Rank(), mpi.Size()
	start, endp1 := (id*n)/sz, ((id+1)*n)/sz
	for i := start; i < endp1; i++ {
		x[i] = i
	}

	//io.Pforan("x = %v\n", x)

	// IntAllReduceMax
	w := make([]int, n)
	mpi.IntAllReduceMax(x, w)
	var tst testing.T
	chk.Ints(&tst, fmt.Sprintf("IntAllReduceMax: x @ proc # %d", id), x, []int{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10})

	//io.Pfred("x = %v\n", x)
}
Example #4
0
func main() {

	// catch errors
	var tst testing.T
	defer func() {
		if mpi.Rank() == 0 {
			if err := recover(); err != nil {
				io.PfRed("ERROR: %v\n", err)
			}
			if tst.Failed() {
				io.PfRed("test failed\n")
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// start global variables and log
	if !fem.Start("data/p01.sim", true, true) {
		tst.Error("Start failed\n")
		return
	}

	// make sure to flush log
	defer fem.End()

	// run simulation
	if !fem.Run() {
		tst.Error("Run failed\n")
		return
	}
}
Example #5
0
func main() {

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

	myrank := mpi.Rank()
	if myrank == 0 {
		chk.PrintTitle("Test MUMPS Sol 01a")
	}

	var t la.Triplet
	switch mpi.Size() {
	case 1:
		t.Init(5, 5, 13)
		t.Put(0, 0, 1.0)
		t.Put(0, 0, 1.0)
		t.Put(1, 0, 3.0)
		t.Put(0, 1, 3.0)
		t.Put(2, 1, -1.0)
		t.Put(4, 1, 4.0)
		t.Put(1, 2, 4.0)
		t.Put(2, 2, -3.0)
		t.Put(3, 2, 1.0)
		t.Put(4, 2, 2.0)
		t.Put(2, 3, 2.0)
		t.Put(1, 4, 6.0)
		t.Put(4, 4, 1.0)
	case 2:
		if myrank == 0 {
			t.Init(5, 5, 6)
			t.Put(0, 0, 1.0)
			t.Put(0, 0, 1.0)
			t.Put(1, 0, 3.0)
			t.Put(0, 1, 3.0)
			t.Put(2, 1, -1.0)
			t.Put(4, 1, 4.0)
		} else {
			t.Init(5, 5, 7)
			t.Put(1, 2, 4.0)
			t.Put(2, 2, -3.0)
			t.Put(3, 2, 1.0)
			t.Put(4, 2, 2.0)
			t.Put(2, 3, 2.0)
			t.Put(1, 4, 6.0)
			t.Put(4, 4, 1.0)
		}
	default:
		chk.Panic("this test needs 1 or 2 procs")
	}

	b := []float64{8.0, 45.0, -3.0, 3.0, 19.0}
	x_correct := []float64{1, 2, 3, 4, 5}
	sum_b_to_root := false
	la.RunMumpsTestR(&t, 1e-14, b, x_correct, sum_b_to_root)
}
Example #6
0
func main() {

	// catch errors
	defer func() {
		if err := recover(); err != nil {
			if mpi.Rank() == 0 {
				chk.Verbose = true
				for i := 8; i > 3; i-- {
					chk.CallerInfo(i)
				}
				io.PfRed("ERROR: %v\n", err)
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// default input parameters

	// read input parameters
	fnamepath, _ := io.ArgToFilename(0, "", ".sim", true)
	verbose := io.ArgToBool(1, true)
	erasePrev := io.ArgToBool(2, true)
	saveSummary := io.ArgToBool(3, true)
	allowParallel := io.ArgToBool(4, true)
	alias := io.ArgToString(5, "")

	// message
	if mpi.Rank() == 0 && verbose {
		io.PfWhite("\nGofem v3 -- Go Finite Element Method\n\n")
		io.Pf("Copyright 2015 Dorival Pedroso and Raul Durand. All rights reserved.\n")
		io.Pf("Use of this source code is governed by a BSD-style\n")
		io.Pf("license that can be found in the LICENSE file.\n\n")

		io.Pf("\n%v\n", io.ArgsTable(
			"filename path", "fnamepath", fnamepath,
			"show messages", "verbose", verbose,
			"erase previous results", "erasePrev", erasePrev,
			"save summary", "saveSummary", saveSummary,
			"allow parallel run", "allowParallel", allowParallel,
			"word to add to results", "alias", alias,
		))
	}

	// profiling?
	defer utl.DoProf(false)()

	// analysis data
	readSummary := false
	analysis := fem.NewFEM(fnamepath, alias, erasePrev, saveSummary, readSummary, allowParallel, verbose, 0)

	// run simulation
	err := analysis.Run()
	if err != nil {
		chk.Panic("Run failed:\n%v", err)
	}
}
Example #7
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("Test SumToRoot 01")
	}

	M := [][]float64{
		{1000, 1000, 1000, 1011, 1021, 1000},
		{1000, 1000, 1000, 1012, 1022, 1000},
		{1000, 1000, 1000, 1013, 1023, 1000},
		{1011, 1012, 1013, 1000, 1000, 1000},
		{1021, 1022, 1023, 1000, 1000, 1000},
		{1000, 1000, 1000, 1000, 1000, 1000},
	}

	id, sz, m := mpi.Rank(), mpi.Size(), len(M)
	start, endp1 := (id*m)/sz, ((id+1)*m)/sz

	if sz > 6 {
		chk.Panic("this test works with at most 6 processors")
	}

	var J la.Triplet
	J.Init(m, m, m*m)
	for i := start; i < endp1; i++ {
		for j := 0; j < m; j++ {
			J.Put(i, j, M[i][j])
		}
	}
	la.PrintMat(fmt.Sprintf("J @ proc # %d", id), J.ToMatrix(nil).ToDense(), "%10.1f", false)

	la.SpTriSumToRoot(&J)
	var tst testing.T
	if mpi.Rank() == 0 {
		chk.Matrix(&tst, "J @ proc 0", 1.0e-17, J.ToMatrix(nil).ToDense(), [][]float64{
			{1000, 1000, 1000, 1011, 1021, 1000},
			{1000, 1000, 1000, 1012, 1022, 1000},
			{1000, 1000, 1000, 1013, 1023, 1000},
			{1011, 1012, 1013, 1000, 1000, 1000},
			{1021, 1022, 1023, 1000, 1000, 1000},
			{1000, 1000, 1000, 1000, 1000, 1000},
		})
	}
}
Example #8
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("TestJacobian 02b (MPI)")
	}
	if mpi.Size() > 6 {
		io.Pf("this tests works with 6 or less MPI processors\n")
		return
	}

	ffcn := func(fx, x []float64) error {
		fx[0] = 2.0*x[0] - x[1] + sin(x[2]) - cos(x[3]) - x[5]*x[5] - 1.0      // 0
		fx[1] = -x[0] + 2.0*x[1] + cos(x[2]) - sin(x[3]) + x[5] - 1.0          // 1
		fx[2] = x[0] + 3.0*x[1] + sin(x[3]) - cos(x[4]) - x[5]*x[5] - 1.0      // 2
		fx[3] = 2.0*x[0] + 4.0*x[1] + cos(x[3]) - cos(x[4]) + x[5] - 1.0       // 3
		fx[4] = x[0] + 5.0*x[1] - sin(x[2]) + sin(x[4]) - x[5]*x[5]*x[5] - 1.0 // 4
		fx[5] = x[0] + 6.0*x[1] - cos(x[2]) + cos(x[4]) + x[5] - 1.0           // 5
		return nil
	}
	Jfcn := func(dfdx *la.Triplet, x []float64) error {
		dfdx.Start()
		J := [][]float64{
			{2.0, -1.0, cos(x[2]), sin(x[3]), 0.0, -2.0 * x[5]},
			{-1.0, 2.0, -sin(x[2]), -cos(x[3]), 0.0, 1.0},
			{1.0, 3.0, 0.0, cos(x[3]), sin(x[4]), -2.0 * x[5]},
			{2.0, 4.0, 0.0, -sin(x[3]), sin(x[4]), 1.0},
			{1.0, 5.0, -cos(x[2]), 0.0, cos(x[4]), -3.0 * x[5] * x[5]},
			{1.0, 6.0, sin(x[2]), 0.0, -sin(x[4]), 1.0},
		}
		id, sz, ndim := mpi.Rank(), mpi.Size(), 6
		start, endp1 := (id*ndim)/sz, ((id+1)*ndim)/sz
		for col := 0; col < 6; col++ {
			for row := start; row < endp1; row++ {
				dfdx.Put(row, col, J[row][col])
			}
		}
		//la.PrintMat(fmt.Sprintf("J @ %d",mpi.Rank()), dfdx.ToMatrix(nil).ToDense(), "%12.6f", false)
		return nil
	}
	x := []float64{5.0, 5.0, pi, pi, pi, 5.0}
	var tst testing.T
	num.CompareJac(&tst, ffcn, Jfcn, x, 1e-6, true)
}
Example #9
0
func main() {

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

	myrank := mpi.Rank()
	if myrank == 0 {
		chk.PrintTitle("Test MUMPS Sol 05")
	}

	ndim := 10
	id, sz := mpi.Rank(), mpi.Size()
	start, endp1 := (id*ndim)/sz, ((id+1)*ndim)/sz

	if mpi.Size() > ndim {
		chk.Panic("the number of processors must be smaller than or equal to %d", ndim)
	}

	n := 10
	b := make([]complex128, n)
	x_correct := make([]complex128, n)

	// Let exact solution = 1 + 0.5i
	for i := 0; i < ndim; i++ {
		x_correct[i] = complex(float64(i+1), float64(i+1)/10.0)
	}

	var t la.TripletC
	t.Init(ndim, ndim, ndim, true)

	// assemble a and b
	for i := start; i < endp1; i++ {

		// Some very fake diagonals. Should take exactly 20 GMRES steps
		ar := 10.0 + float64(i)/(float64(ndim)/10.0)
		ac := 10.0 - float64(i)/(float64(ndim)/10.0)
		t.Put(i, i, ar, ac)

		// Generate RHS to match exact solution
		b[i] = complex(ar*real(x_correct[i])-ac*imag(x_correct[i]),
			ar*imag(x_correct[i])+ac*real(x_correct[i]))
	}

	sum_b_to_root := true
	la.RunMumpsTestC(&t, 1e-14, b, x_correct, sum_b_to_root)
}
Example #10
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("TestJacobian 01b (MPI)")
	}
	if mpi.Size() != 2 {
		io.Pf("this tests needs MPI 2 processors\n")
		return
	}

	ffcn := func(fx, x []float64) error {
		fx[0] = math.Pow(x[0], 3.0) + x[1] - 1.0
		fx[1] = -x[0] + math.Pow(x[1], 3.0) + 1.0
		return nil
	}
	Jfcn := func(dfdx *la.Triplet, x []float64) error {
		dfdx.Start()
		if false {
			if mpi.Rank() == 0 {
				dfdx.Put(0, 0, 3.0*x[0]*x[0])
				dfdx.Put(1, 0, -1.0)
			} else {
				dfdx.Put(0, 1, 1.0)
				dfdx.Put(1, 1, 3.0*x[1]*x[1])
			}
		} else {
			if mpi.Rank() == 0 {
				dfdx.Put(0, 0, 3.0*x[0]*x[0])
				dfdx.Put(0, 1, 1.0)
			} else {
				dfdx.Put(1, 0, -1.0)
				dfdx.Put(1, 1, 3.0*x[1]*x[1])
			}
		}
		return nil
	}
	x := []float64{0.5, 0.5}
	var tst testing.T
	num.CompareJacMpi(&tst, ffcn, Jfcn, x, 1e-8, true)
}
Example #11
0
func main() {

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

	myrank := mpi.Rank()
	if myrank == 0 {
		chk.PrintTitle("Test MUMPS Sol 04")
	}

	ndim := 10
	id, sz := mpi.Rank(), mpi.Size()
	start, endp1 := (id*ndim)/sz, ((id+1)*ndim)/sz

	if mpi.Size() > ndim {
		chk.Panic("the number of processors must be smaller than or equal to %d", ndim)
	}

	b := make([]complex128, ndim)
	var t la.TripletC
	t.Init(ndim, ndim, ndim*ndim, true)

	for i := start; i < endp1; i++ {
		j := i
		if i > 0 {
			j = i - 1
		}
		for ; j < 10; j++ {
			val := 10.0 - float64(j)
			if i > j {
				val -= 1.0
			}
			t.Put(i, j, val, 0)
		}
		b[i] = complex(float64(i+1), 0.0)
	}

	x_correct := []complex128{-1, 8, -65, 454, -2725, 13624, -54497, 163490, -326981, 326991}
	sum_b_to_root := true
	la.RunMumpsTestC(&t, 1e-4, b, x_correct, sum_b_to_root)
}
Example #12
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()
		}
	}
}
Example #13
0
func main() {

	// catch errors
	var tst testing.T
	defer func() {
		if mpi.Rank() == 0 {
			if err := recover(); err != nil {
				io.PfRed("ERROR: %v\n", err)
			}
			if tst.Failed() {
				io.PfRed("test failed\n")
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// start global variables and log
	if !fem.Start("data/spo751.sim", true, true) {
		tst.Error("Start failed\n")
		return
	}

	// make sure to flush log
	defer fem.End()

	// run simulation
	if !fem.Run() {
		tst.Error("Run failed\n")
		return
	}

	// check
	skipK := true
	tolK := 1e-17
	tolu := 1e-12
	tols := 1e-14
	fem.TestingCompareResultsU(&tst, "data/spo751.sim", "cmp/spo751.cmp", tolK, tolu, tols, skipK, true)
}
Example #14
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("ode02: Hairer-Wanner VII-p5 Eq.(1.5) Van der Pol's Equation")
	}
	if mpi.Size() != 2 {
		chk.Panic(">> error: this test requires 2 MPI processors\n")
		return
	}

	eps := 1.0e-6
	w := make([]float64, 2) // workspace
	fcn := func(f []float64, dx, x float64, y []float64, args ...interface{}) error {
		f[0], f[1] = 0, 0
		switch mpi.Rank() {
		case 0:
			f[0] = y[1]
		case 1:
			f[1] = ((1.0-y[0]*y[0])*y[1] - y[0]) / eps
		}
		// join all f
		mpi.AllReduceSum(f, w)
		return nil
	}
	jac := func(dfdy *la.Triplet, dx, x float64, y []float64, args ...interface{}) error {
		if dfdy.Max() == 0 {
			dfdy.Init(2, 2, 4)
		}
		dfdy.Start()
		if false { // per column
			switch mpi.Rank() {
			case 0:
				dfdy.Put(0, 0, 0.0)
				dfdy.Put(1, 0, (-2.0*y[0]*y[1]-1.0)/eps)
			case 1:
				dfdy.Put(0, 1, 1.0)
				dfdy.Put(1, 1, (1.0-y[0]*y[0])/eps)
			}
		} else { // per row
			switch mpi.Rank() {
			case 0:
				dfdy.Put(0, 0, 0.0)
				dfdy.Put(0, 1, 1.0)
			case 1:
				dfdy.Put(1, 0, (-2.0*y[0]*y[1]-1.0)/eps)
				dfdy.Put(1, 1, (1.0-y[0]*y[0])/eps)
			}
		}
		return nil
	}

	// method and flags
	silent := false
	fixstp := false
	//method := "Dopri5"
	method := "Radau5"
	numjac := false
	xa, xb := 0.0, 2.0
	ya := []float64{2.0, -0.6}
	ndim := len(ya)

	// structure to hold numerical results
	res := ode.Results{Method: method}

	// allocate ODE object
	var o ode.Solver
	o.Distr = true
	if numjac {
		o.Init(method, ndim, fcn, nil, nil, ode.SimpleOutput, silent)
	} else {
		o.Init(method, ndim, fcn, jac, nil, ode.SimpleOutput, silent)
	}

	// tolerances and initial step size
	rtol := 1e-4
	atol := rtol
	o.IniH = 1.0e-4
	o.SetTol(atol, rtol)
	//o.NmaxSS = 2

	// solve problem
	y := make([]float64, ndim)
	copy(y, ya)
	t0 := time.Now()
	if fixstp {
		o.Solve(y, xa, xb, 0.05, fixstp, &res)
	} else {
		o.Solve(y, xa, xb, xb-xa, fixstp, &res)
	}

	// plot
	if mpi.Rank() == 0 {
		io.Pfmag("elapsed time = %v\n", time.Now().Sub(t0))
		plt.SetForEps(1.5, 400)
		args := "'b-', marker='.', lw=1, ms=4, clip_on=0"
		ode.Plot("/tmp/gosl/ode", "vdpolA_mpi.eps", &res, nil, xa, xb, "", args, func() {
			_, T, err := io.ReadTable("data/vdpol_radau5_for.dat")
			if err != nil {
				chk.Panic("%v", err)
			}
			plt.Subplot(3, 1, 1)
			plt.Plot(T["x"], T["y0"], "'k+',label='reference',ms=7")
			plt.Subplot(3, 1, 2)
			plt.Plot(T["x"], T["y1"], "'k+',label='reference',ms=7")
		})
	}
}
Example #15
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("Test ODE 02b")
		io.Pfcyan("Hairer-Wanner VII-p5 Eq.(1.5) Van der Pol's Equation (MPI)\n")
	}
	if mpi.Size() != 2 {
		chk.Panic(">> error: this test requires 2 MPI processors\n")
		return
	}

	eps := 1.0e-6
	w := make([]float64, 2) // workspace
	fcn := func(f []float64, x float64, y []float64, args ...interface{}) error {
		f[0], f[1] = 0, 0
		switch mpi.Rank() {
		case 0:
			f[0] = y[1]
		case 1:
			f[1] = ((1.0-y[0]*y[0])*y[1] - y[0]) / eps
		}
		// join all f
		mpi.AllReduceSum(f, w)
		return nil
	}
	jac := func(dfdy *la.Triplet, x float64, y []float64, args ...interface{}) error {
		if dfdy.Max() == 0 {
			dfdy.Init(2, 2, 4)
		}
		dfdy.Start()
		if false { // per column
			switch mpi.Rank() {
			case 0:
				dfdy.Put(0, 0, 0.0)
				dfdy.Put(1, 0, (-2.0*y[0]*y[1]-1.0)/eps)
			case 1:
				dfdy.Put(0, 1, 1.0)
				dfdy.Put(1, 1, (1.0-y[0]*y[0])/eps)
			}
		} else { // per row
			switch mpi.Rank() {
			case 0:
				dfdy.Put(0, 0, 0.0)
				dfdy.Put(0, 1, 1.0)
			case 1:
				dfdy.Put(1, 0, (-2.0*y[0]*y[1]-1.0)/eps)
				dfdy.Put(1, 1, (1.0-y[0]*y[0])/eps)
			}
		}
		return nil
	}

	// data
	silent := false
	fixstp := false
	//method := "Dopri5"
	method := "Radau5"
	xa, xb := 0.0, 2.0
	ya := []float64{2.0, -0.6}
	ndim := len(ya)

	// output
	var b bytes.Buffer
	out := func(first bool, dx, x float64, y []float64, args ...interface{}) error {
		if mpi.Rank() == 0 {
			if first {
				fmt.Fprintf(&b, "%23s %23s %23s %23s\n", "dx", "x", "y0", "y1")
			}
			fmt.Fprintf(&b, "%23.15E %23.15E %23.15E %23.15E\n", dx, x, y[0], y[1])
		}
		return nil
	}
	defer func() {
		if mpi.Rank() == 0 {
			extra := "d2 = Read('data/vdpol_radau5_for.dat')\n" +
				"subplot(3,1,1)\n" +
				"plot(d2['x'],d2['y0'],'k+',label='res',ms=10)\n" +
				"subplot(3,1,2)\n" +
				"plot(d2['x'],d2['y1'],'k+',label='res',ms=10)\n"
			ode.Plot("/tmp/gosl", "vdpolB", method, &b, []int{0, 1}, ndim, nil, xa, xb, true, false, extra)
		}
	}()

	// one run
	var o ode.ODE
	o.Distr = true
	//numjac := true
	numjac := false
	if numjac {
		o.Init(method, ndim, fcn, nil, nil, out, silent)
	} else {
		o.Init(method, ndim, fcn, jac, nil, out, silent)
	}

	// tolerances and initial step size
	rtol := 1e-4
	atol := rtol
	o.SetTol(atol, rtol)
	o.IniH = 1.0e-4

	//o.NmaxSS = 2

	y := make([]float64, ndim)
	copy(y, ya)
	t0 := time.Now()
	if fixstp {
		o.Solve(y, xa, xb, 0.05, fixstp)
	} else {
		o.Solve(y, xa, xb, xb-xa, fixstp)
	}
	if mpi.Rank() == 0 {
		io.Pfmag("elapsed time = %v\n", time.Now().Sub(t0))
	}
}
Example #16
0
func main() {

	// catch errors
	defer func() {
		if err := recover(); err != nil {
			if mpi.Rank() == 0 {
				chk.Verbose = true
				for i := 8; i > 3; i-- {
					chk.CallerInfo(i)
				}
				io.PfRed("ERROR: %v\n", err)
			}
		}
		mpi.Stop(false)
	}()
	mpi.Start(false)

	// message
	if mpi.Rank() == 0 {
		io.PfWhite("\nGofem v3 -- Go Finite Element Method\n\n")
		io.Pf("Copyright 2015 Dorival Pedroso and Raul Durand. All rights reserved.\n")
		io.Pf("Use of this source code is governed by a BSD-style\n")
		io.Pf("license that can be found in the LICENSE file.\n\n")
	}

	// simulation filenamepath
	flag.Parse()
	var fnamepath string
	if len(flag.Args()) > 0 {
		fnamepath = flag.Arg(0)
	} else {
		chk.Panic("Please, provide a filename. Ex.: cylinder.sim")
	}

	// check extension
	if io.FnExt(fnamepath) == "" {
		fnamepath += ".sim"
	}

	// other options
	erasefiles := true
	verbose := true
	if len(flag.Args()) > 1 {
		erasefiles = io.Atob(flag.Arg(1))
	}
	if len(flag.Args()) > 2 {
		verbose = io.Atob(flag.Arg(2))
	}

	// profiling?
	defer utl.DoProf(false)()

	// start global variables and log
	if !fem.Start(fnamepath, erasefiles, verbose) {
		chk.Panic("Start failed\n")
		return
	}

	// make sure to flush log
	defer fem.End()

	// run simulation
	if !fem.Run() {
		io.PfRed("ERROR: cannot run simulation\n")
	}
}
Example #17
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("Test ODE 04b (MPI)")
		io.Pfcyan("Hairer-Wanner VII-p376 Transistor Amplifier (MPI)\n")
		io.Pfcyan("(from E Hairer's website, not the system in the book)\n")
	}
	if mpi.Size() != 3 {
		chk.Panic(">> error: this test requires 3 MPI processors\n")
		return
	}

	// RIGHT-HAND SIDE OF THE AMPLIFIER PROBLEM
	w := make([]float64, 8) // workspace
	fcn := func(f []float64, x float64, y []float64, args ...interface{}) error {
		d := args[0].(*HWtransData)
		UET := d.UE * math.Sin(d.W*x)
		FAC1 := d.BETA * (math.Exp((y[3]-y[2])/d.UF) - 1.0)
		FAC2 := d.BETA * (math.Exp((y[6]-y[5])/d.UF) - 1.0)
		la.VecFill(f, 0)
		switch mpi.Rank() {
		case 0:
			f[0] = y[0] / d.R9
		case 1:
			f[1] = (y[1]-d.UB)/d.R8 + d.ALPHA*FAC1
			f[2] = y[2]/d.R7 - FAC1
		case 2:
			f[3] = y[3]/d.R5 + (y[3]-d.UB)/d.R6 + (1.0-d.ALPHA)*FAC1
			f[4] = (y[4]-d.UB)/d.R4 + d.ALPHA*FAC2
			f[5] = y[5]/d.R3 - FAC2
			f[6] = y[6]/d.R1 + (y[6]-d.UB)/d.R2 + (1.0-d.ALPHA)*FAC2
			f[7] = (y[7] - UET) / d.R0
		}
		mpi.AllReduceSum(f, w)
		return nil
	}

	// JACOBIAN OF THE AMPLIFIER PROBLEM
	jac := func(dfdy *la.Triplet, x float64, y []float64, args ...interface{}) error {
		d := args[0].(*HWtransData)
		FAC14 := d.BETA * math.Exp((y[3]-y[2])/d.UF) / d.UF
		FAC27 := d.BETA * math.Exp((y[6]-y[5])/d.UF) / d.UF
		if dfdy.Max() == 0 {
			dfdy.Init(8, 8, 16)
		}
		NU := 2
		dfdy.Start()
		switch mpi.Rank() {
		case 0:
			dfdy.Put(2+0-NU, 0, 1.0/d.R9)
			dfdy.Put(2+1-NU, 1, 1.0/d.R8)
			dfdy.Put(1+2-NU, 2, -d.ALPHA*FAC14)
			dfdy.Put(0+3-NU, 3, d.ALPHA*FAC14)
			dfdy.Put(2+2-NU, 2, 1.0/d.R7+FAC14)
		case 1:
			dfdy.Put(1+3-NU, 3, -FAC14)
			dfdy.Put(2+3-NU, 3, 1.0/d.R5+1.0/d.R6+(1.0-d.ALPHA)*FAC14)
			dfdy.Put(3+2-NU, 2, -(1.0-d.ALPHA)*FAC14)
			dfdy.Put(2+4-NU, 4, 1.0/d.R4)
			dfdy.Put(1+5-NU, 5, -d.ALPHA*FAC27)
		case 2:
			dfdy.Put(0+6-NU, 6, d.ALPHA*FAC27)
			dfdy.Put(2+5-NU, 5, 1.0/d.R3+FAC27)
			dfdy.Put(1+6-NU, 6, -FAC27)
			dfdy.Put(2+6-NU, 6, 1.0/d.R1+1.0/d.R2+(1.0-d.ALPHA)*FAC27)
			dfdy.Put(3+5-NU, 5, -(1.0-d.ALPHA)*FAC27)
			dfdy.Put(2+7-NU, 7, 1.0/d.R0)
		}
		return nil
	}

	// MATRIX "M"
	c1, c2, c3, c4, c5 := 1.0e-6, 2.0e-6, 3.0e-6, 4.0e-6, 5.0e-6
	var M la.Triplet
	M.Init(8, 8, 14)
	M.Start()
	NU := 1
	switch mpi.Rank() {
	case 0:
		M.Put(1+0-NU, 0, -c5)
		M.Put(0+1-NU, 1, c5)
		M.Put(2+0-NU, 0, c5)
		M.Put(1+1-NU, 1, -c5)
		M.Put(1+2-NU, 2, -c4)
		M.Put(1+3-NU, 3, -c3)
	case 1:
		M.Put(0+4-NU, 4, c3)
		M.Put(2+3-NU, 3, c3)
		M.Put(1+4-NU, 4, -c3)
	case 2:
		M.Put(1+5-NU, 5, -c2)
		M.Put(1+6-NU, 6, -c1)
		M.Put(0+7-NU, 7, c1)
		M.Put(2+6-NU, 6, c1)
		M.Put(1+7-NU, 7, -c1)
	}

	// WRITE FILE FUNCTION
	idxstp := 1
	var b bytes.Buffer
	out := func(first bool, dx, x float64, y []float64, args ...interface{}) error {
		if mpi.Rank() == 0 {
			if first {
				fmt.Fprintf(&b, "%6s%23s%23s%23s%23s%23s%23s%23s%23s%23s\n", "ns", "x", "y0", "y1", "y2", "y3", "y4", "y5", "y6", "y7")
			}
			fmt.Fprintf(&b, "%6d%23.15E", idxstp, x)
			for j := 0; j < len(y); j++ {
				fmt.Fprintf(&b, "%23.15E", y[j])
			}
			fmt.Fprintf(&b, "\n")
			idxstp += 1
		}
		return nil
	}
	defer func() {
		if mpi.Rank() == 0 {
			io.WriteFileD("/tmp/gosl", "hwamplifierB.res", &b)
		}
	}()

	// INITIAL DATA
	D, xa, xb, ya := HWtransIni()

	// SET ODE SOLVER
	silent := false
	fixstp := false
	//method := "Dopri5"
	method := "Radau5"
	ndim := len(ya)
	//numjac := true
	numjac := false
	var osol ode.ODE

	osol.Pll = true

	if numjac {
		osol.Init(method, ndim, fcn, nil, &M, out, silent)
	} else {
		osol.Init(method, ndim, fcn, jac, &M, out, silent)
	}
	osol.IniH = 1.0e-6 // initial step size

	// SET TOLERANCES
	atol, rtol := 1e-11, 1e-5
	osol.SetTol(atol, rtol)

	// RUN
	t0 := time.Now()
	if fixstp {
		osol.Solve(ya, xa, xb, 0.01, fixstp, &D)
	} else {
		osol.Solve(ya, xa, xb, xb-xa, fixstp, &D)
	}
	if mpi.Rank() == 0 {
		io.Pfmag("elapsed time = %v\n", time.Now().Sub(t0))
	}
}
Example #18
0
func main() {

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

	if mpi.Rank() == 0 {
		chk.PrintTitle("ode04: Hairer-Wanner VII-p376 Transistor Amplifier\n")
	}
	if mpi.Size() != 3 {
		chk.Panic(">> error: this test requires 3 MPI processors\n")
		return
	}

	// data
	UE, UB, UF, ALPHA, BETA := 0.1, 6.0, 0.026, 0.99, 1.0e-6
	R0, R1, R2, R3, R4, R5 := 1000.0, 9000.0, 9000.0, 9000.0, 9000.0, 9000.0
	R6, R7, R8, R9 := 9000.0, 9000.0, 9000.0, 9000.0
	W := 2.0 * 3.141592654 * 100.0

	// initial values
	xa := 0.0
	ya := []float64{0.0,
		UB,
		UB / (R6/R5 + 1.0),
		UB / (R6/R5 + 1.0),
		UB,
		UB / (R2/R1 + 1.0),
		UB / (R2/R1 + 1.0),
		0.0}

	// endpoint of integration
	xb := 0.05
	//xb = 0.0123 // OK
	//xb = 0.01235 // !OK

	// right-hand side of the amplifier problem
	w := make([]float64, 8) // workspace
	fcn := func(f []float64, dx, x float64, y []float64, args ...interface{}) error {
		UET := UE * math.Sin(W*x)
		FAC1 := BETA * (math.Exp((y[3]-y[2])/UF) - 1.0)
		FAC2 := BETA * (math.Exp((y[6]-y[5])/UF) - 1.0)
		la.VecFill(f, 0)
		switch mpi.Rank() {
		case 0:
			f[0] = y[0] / R9
		case 1:
			f[1] = (y[1]-UB)/R8 + ALPHA*FAC1
			f[2] = y[2]/R7 - FAC1
		case 2:
			f[3] = y[3]/R5 + (y[3]-UB)/R6 + (1.0-ALPHA)*FAC1
			f[4] = (y[4]-UB)/R4 + ALPHA*FAC2
			f[5] = y[5]/R3 - FAC2
			f[6] = y[6]/R1 + (y[6]-UB)/R2 + (1.0-ALPHA)*FAC2
			f[7] = (y[7] - UET) / R0
		}
		mpi.AllReduceSum(f, w)
		return nil
	}

	// Jacobian of the amplifier problem
	jac := func(dfdy *la.Triplet, dx, x float64, y []float64, args ...interface{}) error {
		FAC14 := BETA * math.Exp((y[3]-y[2])/UF) / UF
		FAC27 := BETA * math.Exp((y[6]-y[5])/UF) / UF
		if dfdy.Max() == 0 {
			dfdy.Init(8, 8, 16)
		}
		NU := 2
		dfdy.Start()
		switch mpi.Rank() {
		case 0:
			dfdy.Put(2+0-NU, 0, 1.0/R9)
			dfdy.Put(2+1-NU, 1, 1.0/R8)
			dfdy.Put(1+2-NU, 2, -ALPHA*FAC14)
			dfdy.Put(0+3-NU, 3, ALPHA*FAC14)
			dfdy.Put(2+2-NU, 2, 1.0/R7+FAC14)
		case 1:
			dfdy.Put(1+3-NU, 3, -FAC14)
			dfdy.Put(2+3-NU, 3, 1.0/R5+1.0/R6+(1.0-ALPHA)*FAC14)
			dfdy.Put(3+2-NU, 2, -(1.0-ALPHA)*FAC14)
			dfdy.Put(2+4-NU, 4, 1.0/R4)
			dfdy.Put(1+5-NU, 5, -ALPHA*FAC27)
		case 2:
			dfdy.Put(0+6-NU, 6, ALPHA*FAC27)
			dfdy.Put(2+5-NU, 5, 1.0/R3+FAC27)
			dfdy.Put(1+6-NU, 6, -FAC27)
			dfdy.Put(2+6-NU, 6, 1.0/R1+1.0/R2+(1.0-ALPHA)*FAC27)
			dfdy.Put(3+5-NU, 5, -(1.0-ALPHA)*FAC27)
			dfdy.Put(2+7-NU, 7, 1.0/R0)
		}
		return nil
	}

	// matrix "M"
	c1, c2, c3, c4, c5 := 1.0e-6, 2.0e-6, 3.0e-6, 4.0e-6, 5.0e-6
	var M la.Triplet
	M.Init(8, 8, 14)
	M.Start()
	NU := 1
	switch mpi.Rank() {
	case 0:
		M.Put(1+0-NU, 0, -c5)
		M.Put(0+1-NU, 1, c5)
		M.Put(2+0-NU, 0, c5)
		M.Put(1+1-NU, 1, -c5)
		M.Put(1+2-NU, 2, -c4)
		M.Put(1+3-NU, 3, -c3)
	case 1:
		M.Put(0+4-NU, 4, c3)
		M.Put(2+3-NU, 3, c3)
		M.Put(1+4-NU, 4, -c3)
	case 2:
		M.Put(1+5-NU, 5, -c2)
		M.Put(1+6-NU, 6, -c1)
		M.Put(0+7-NU, 7, c1)
		M.Put(2+6-NU, 6, c1)
		M.Put(1+7-NU, 7, -c1)
	}

	// flags
	silent := false
	fixstp := false
	//method := "Dopri5"
	method := "Radau5"
	ndim := len(ya)
	numjac := false

	// structure to hold numerical results
	res := ode.Results{Method: method}

	// ODE solver
	var osol ode.Solver
	osol.Pll = true

	// solve problem
	if numjac {
		osol.Init(method, ndim, fcn, nil, &M, ode.SimpleOutput, silent)
	} else {
		osol.Init(method, ndim, fcn, jac, &M, ode.SimpleOutput, silent)
	}
	osol.IniH = 1.0e-6 // initial step size

	// set tolerances
	atol, rtol := 1e-11, 1e-5
	osol.SetTol(atol, rtol)

	// run
	t0 := time.Now()
	if fixstp {
		osol.Solve(ya, xa, xb, 0.01, fixstp, &res)
	} else {
		osol.Solve(ya, xa, xb, xb-xa, fixstp, &res)
	}

	// plot
	if mpi.Rank() == 0 {
		io.Pfmag("elapsed time = %v\n", time.Now().Sub(t0))
		plt.SetForEps(2.0, 400)
		args := "'b-', marker='.', lw=1, clip_on=0"
		ode.Plot("/tmp/gosl/ode", "hwamplifier_mpi.eps", &res, nil, xa, xb, "", args, func() {
			_, T, err := io.ReadTable("data/radau5_hwamplifier.dat")
			if err != nil {
				chk.Panic("%v", err)
			}
			for j := 0; j < ndim; j++ {
				plt.Subplot(ndim+1, 1, j+1)
				plt.Plot(T["x"], T[io.Sf("y%d", j)], "'k+',label='reference',ms=10")
			}
		})
	}
}
Example #19
0
func main() {

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

	myrank := mpi.Rank()
	if myrank == 0 {
		chk.PrintTitle("Test MUMPS Sol 01b")
	}

	var t la.Triplet
	b := []float64{8.0, 45.0, -3.0, 3.0, 19.0}
	switch mpi.Size() {
	case 1:
		t.Init(5, 5, 13)
		t.Put(0, 0, 1.0)
		t.Put(0, 0, 1.0)
		t.Put(1, 0, 3.0)
		t.Put(0, 1, 3.0)
		t.Put(2, 1, -1.0)
		t.Put(4, 1, 4.0)
		t.Put(1, 2, 4.0)
		t.Put(2, 2, -3.0)
		t.Put(3, 2, 1.0)
		t.Put(4, 2, 2.0)
		t.Put(2, 3, 2.0)
		t.Put(1, 4, 6.0)
		t.Put(4, 4, 1.0)
	case 2:
		la.VecFill(b, 0)
		if myrank == 0 {
			t.Init(5, 5, 8)
			t.Put(0, 0, 1.0)
			t.Put(0, 0, 1.0)
			t.Put(1, 0, 3.0)
			t.Put(0, 1, 3.0)
			t.Put(2, 1, -1.0)
			t.Put(4, 1, 1.0)
			t.Put(4, 1, 1.5)
			t.Put(4, 1, 1.5)
			b[0] = 8.0
			b[1] = 40.0
			b[2] = 1.5
		} else {
			t.Init(5, 5, 8)
			t.Put(1, 2, 4.0)
			t.Put(2, 2, -3.0)
			t.Put(3, 2, 1.0)
			t.Put(4, 2, 2.0)
			t.Put(2, 3, 2.0)
			t.Put(1, 4, 6.0)
			t.Put(4, 4, 0.5)
			t.Put(4, 4, 0.5)
			b[1] = 5.0
			b[2] = -4.5
			b[3] = 3.0
			b[4] = 19.0
		}
	default:
		chk.Panic("this test needs 1 or 2 procs")
	}

	x_correct := []float64{1, 2, 3, 4, 5}
	sum_b_to_root := true
	la.RunMumpsTestR(&t, 1e-14, b, x_correct, sum_b_to_root)
}
Example #20
0
func main() {

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

	if mpi.Rank() == 0 {
		io.PfYel("\nTest MPI 01\n")
	}
	if mpi.Size() != 3 {
		chk.Panic("this test needs 3 processors")
	}
	n := 11
	x := make([]float64, n)
	id, sz := mpi.Rank(), mpi.Size()
	start, endp1 := (id*n)/sz, ((id+1)*n)/sz
	for i := start; i < endp1; i++ {
		x[i] = float64(i)
	}

	// Barrier
	mpi.Barrier()

	io.Pfgrey("x @ proc # %d = %v\n", id, x)

	// SumToRoot
	r := make([]float64, n)
	mpi.SumToRoot(r, x)
	var tst testing.T
	if id == 0 {
		chk.Vector(&tst, fmt.Sprintf("SumToRoot:       r @ proc # %d", id), 1e-17, r, []float64{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10})
	} else {
		chk.Vector(&tst, fmt.Sprintf("SumToRoot:       r @ proc # %d", id), 1e-17, r, make([]float64, n))
	}

	// BcastFromRoot
	r[0] = 666
	mpi.BcastFromRoot(r)
	chk.Vector(&tst, fmt.Sprintf("BcastFromRoot:   r @ proc # %d", id), 1e-17, r, []float64{666, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10})

	// AllReduceSum
	setslice(x)
	w := make([]float64, n)
	mpi.AllReduceSum(x, w)
	chk.Vector(&tst, fmt.Sprintf("AllReduceSum:    w @ proc # %d", id), 1e-17, w, []float64{110, 110, 110, 1021, 1021, 1021, 2032, 2032, 2032, 3043, 3043})

	// AllReduceSumAdd
	setslice(x)
	y := []float64{-1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000}
	mpi.AllReduceSumAdd(y, x, w)
	chk.Vector(&tst, fmt.Sprintf("AllReduceSumAdd: y @ proc # %d", id), 1e-17, y, []float64{-890, -890, -890, 21, 21, 21, 1032, 1032, 1032, 2043, 2043})

	// AllReduceMin
	setslice(x)
	mpi.AllReduceMin(x, w)
	chk.Vector(&tst, fmt.Sprintf("AllReduceMin:    x @ proc # %d", id), 1e-17, x, []float64{0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3})

	// AllReduceMax
	setslice(x)
	mpi.AllReduceMax(x, w)
	chk.Vector(&tst, fmt.Sprintf("AllReduceMax:    x @ proc # %d", id), 1e-17, x, []float64{100, 100, 100, 1000, 1000, 1000, 2000, 2000, 2000, 3000, 3000})
}
Example #21
0
func main() {

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

	if mpi.Rank() == 0 {
		io.PfYel("\nTest MPI 02\n")
	}
	if mpi.Size() != 3 {
		chk.Panic("this test needs 3 processors")
	}

	var myints []int
	var mydbls []float64
	switch mpi.Rank() {
	case 1:
		myints = []int{1, 2, 3, 4}
		mydbls = []float64{-1, -2, -3}
	case 2:
		myints = []int{20, 30, 40, 50, 60}
		mydbls = []float64{-20, -50}
	}

	// SingleIntSend
	if mpi.Rank() == 0 {
		v1 := make([]int, mpi.Size())
		v2 := make([]int, mpi.Size())
		allints := []int{}
		alldbls := []float64{}
		for proc := 1; proc < mpi.Size(); proc++ {
			// SingleIntRecv
			val := mpi.SingleIntRecv(proc)
			io.Pf("root recieved val=%d from proc=%d\n", val, proc)
			v1[proc] = val
			val = mpi.SingleIntRecv(proc)
			io.Pf("root recieved val=%d from proc=%d\n", val, proc)
			v2[proc] = val
			// IntRecv
			n := mpi.SingleIntRecv(proc)
			io.Pf("root recieved n=%d from proc=%d\n", n, proc)
			ints := make([]int, n)
			mpi.IntRecv(ints, proc)
			io.Pf("root recieved ints=%v from proc=%d\n", ints, proc)
			allints = append(allints, ints...)
			// DblRecv
			n = mpi.SingleIntRecv(proc)
			io.Pf("root recieved n=%d from proc=%d\n", n, proc)
			dbls := make([]float64, n)
			mpi.DblRecv(dbls, proc)
			io.Pf("root recieved dbls=%v from proc=%d\n", dbls, proc)
			alldbls = append(alldbls, dbls...)
		}
		var tst testing.T
		chk.Ints(&tst, "SingleIntRecv: vals", v1, []int{0, 1001, 1002})
		chk.Ints(&tst, "SingleIntRecv: vals", v2, []int{0, 2001, 2002})
		chk.Ints(&tst, "IntRecv: allints", allints, []int{1, 2, 3, 4, 20, 30, 40, 50, 60})
		chk.Vector(&tst, "IntRecv: alldbls", 1e-17, alldbls, []float64{-1, -2, -3, -20, -50})
	} else {
		// SingleIntSend
		mpi.SingleIntSend(1000+mpi.Rank(), 0)
		mpi.SingleIntSend(2000+mpi.Rank(), 0)
		// IntSend
		mpi.SingleIntSend(len(myints), 0)
		mpi.IntSend(myints, 0)
		// DblSend
		mpi.SingleIntSend(len(mydbls), 0)
		mpi.DblSend(mydbls, 0)
	}
}