func debug_print_up_results(d *Domain) {
io.Pf("\ntime = %23.10f\n", d.Sol.T)
for _, v := range d.Msh.Verts {
n := d.Vid2node[v.Id]
eqpl := n.GetEq("pl")
equx := n.GetEq("ux")
equy := n.GetEq("uy")
var pl, ux, uy float64
if eqpl >= 0 {
pl = d.Sol.Y[eqpl]
}
if equx >= 0 {
ux = d.Sol.Y[equx]
}
if equy >= 0 {
uy = d.Sol.Y[equy]
}
if math.Abs(pl) < 1e-13 {
pl = 0
}
if math.Abs(ux) < 1e-13 {
ux = 0
}
if math.Abs(uy) < 1e-13 {
uy = 0
}
io.Pf("%3d : pl=%23.10v ux=%23.10f uy=%23.10f\n", v.Id, pl, ux, uy)
}
}
// PrintDeep3 prints an array of array of array
func PrintDeep3(name string, A [][][]float64) {
io.Pf("%s = [\n", name)
for _, a := range A {
io.Pf(" %v\n", a)
}
io.Pf("]\n")
}
func Test_mmMul01(tst *testing.T) {
//verbose()
chk.PrintTitle("mmMul01. MatrixMatrix multiplication")
a := [][]float64{
{1.0, 2.0, 3.0},
{0.5, 0.75, 1.5},
}
b := [][]float64{
{0.1, 0.5, 0.5, 0.75},
{0.2, 2.0, 2.0, 2.0},
{0.3, 0.5, 0.5, 0.5},
}
c := MatAlloc(2, 4)
MatMul(c, 1, a, b) // c := 1*a*b
io.Pf("a = %v\n", a)
io.Pf("b = %v\n", b)
io.Pf("c = %v\n", c)
ccor := [][]float64{
{1.4, 6.0, 6.0, 6.25},
{0.65, 2.5, 2.5, 2.625},
}
chk.Matrix(tst, "c", 1.0e-15, c, ccor)
}
func Test_mtdeb01(tst *testing.T) {
//verbose()
chk.PrintTitle("mtdeb01. Deb's mutation")
var ops OpsData
ops.SetDefault()
ops.Pm = 1.0
ops.Xrange = [][]float64{{-3, 3}, {-4, 4}}
ops.EnfRange = true
rnd.Init(0)
A := []float64{-1, 1}
io.Pforan("before: A = %v\n", A)
FltMutationDeb(A, 10, &ops)
io.Pforan("after: A = %v\n", A)
ha0 := rnd.Histogram{Stations: utl.LinSpace(-3, 3, 11)}
nsamples := 1000
aa := make([]float64, len(A))
a0s := make([]float64, nsamples)
for _, t := range []int{0, 50, 100} {
for i := 0; i < nsamples; i++ {
copy(aa, A)
FltMutationDeb(aa, t, &ops)
a0s[i] = aa[0]
}
ha0.Count(a0s, true)
io.Pf("\ntime = %d\n", t)
io.Pf("%s", rnd.TextHist(ha0.GenLabels("%.1f"), ha0.Counts, 60))
}
}
func Test_groups01(tst *testing.T) {
//verbose()
chk.PrintTitle("groups01")
Init(0)
ng := 3 // number of groups
nints := 12 // number of integers
size := nints / ng // groups size
ints := utl.IntRange(nints)
groups := utl.IntsAlloc(ng, size)
hists := make([]*IntHistogram, ng)
for i := 0; i < ng; i++ {
hists[i] = &IntHistogram{Stations: utl.IntRange(nints + 1)}
}
IntGetGroups(groups, ints)
io.Pfcyan("groups = %v\n", groups)
for i := 0; i < NSAMPLES; i++ {
IntGetGroups(groups, ints)
for j := 0; j < ng; j++ {
check_repeated(groups[j])
hists[j].Count(groups[j], false)
}
}
for i := 0; i < ng; i++ {
io.Pf("\n")
io.Pf(TextHist(hists[i].GenLabels("%d"), hists[i].Counts, 60))
}
}
func check_constants(tst *testing.T, E, ν, Kcor, Gcor, lcor float64) {
K, G := Calc_K_from_Enu(E, ν), Calc_G_from_Enu(E, ν)
l := Calc_l_from_Enu(E, ν)
io.Pf("E = %v\n", E)
io.Pf("ν = %v\n", ν)
io.Pf("K = %v\n", K)
io.Pf("G = %v\n", G)
io.Pf("l = %v\n", l)
chk.Scalar(tst, "KfromEν", 1e-17, K, Kcor)
chk.Scalar(tst, "GfromEν", 1e-17, G, Gcor)
chk.Scalar(tst, "lfromEν", 1e-17, l, lcor)
EfromKG, νfromKG := Calc_E_from_KG(K, G), Calc_nu_from_KG(K, G)
chk.Scalar(tst, "EfromKG", 1e-17, EfromKG, E)
chk.Scalar(tst, "νfromKG", 1e-17, νfromKG, ν)
EfromlG, νfromlG := Calc_E_from_lG(l, G), Calc_nu_from_lG(l, G)
chk.Scalar(tst, "EfromlG", 1e-17, EfromlG, E)
chk.Scalar(tst, "νfromlG", 1e-17, νfromlG, ν)
EfromKν, GfromKν := Calc_E_from_Knu(K, ν), Calc_G_from_Knu(K, ν)
chk.Scalar(tst, "EfromKν", 1e-17, EfromKν, E)
chk.Scalar(tst, "GfromKν", 1e-17, GfromKν, G)
}
func (e *Equations) Print() {
io.Pf("N1 = %v, N2 = %v, N = %v\n", e.N1, e.N2, e.N)
io.Pf("RF1 (unknown) =\n %v\n", e.RF1)
io.Pf("FR1 = \n%v\n", e.FR1)
io.Pf("RF2 (prescribed) =\n %v\n", e.RF2)
io.Pf("FR2 = \n%v\n", e.FR2)
}
func Test_mylab03a(tst *testing.T) {
//verbose()
chk.PrintTitle("mylab03a. ints: min and max. dbls: min and max")
A := []int{1, 2, 3, -1, -2, 0, 8, -3}
mi, ma := IntMinMax(A)
io.Pf("A = %v\n", A)
io.Pf("min(A) = %v\n", mi)
io.Pf("max(A) = %v\n", ma)
if mi != -3 {
chk.Panic("min(A) failed")
}
if ma != 8 {
chk.Panic("max(A) failed")
}
if Imin(-1, 2) != -1 {
chk.Panic("Imin(-1,2) failed")
}
if Imax(-1, 2) != 2 {
chk.Panic("Imax(-1,2) failed")
}
if Min(-1, 2) != -1.0 {
chk.Panic("Min(-1,2) failed")
}
if Max(-1, 2) != 2.0 {
chk.Panic("Max(-1,2) failed")
}
}
func main() {
// input filename
_, fnkey := io.ArgToFilename(0, "frame2d", ".sim", true)
// simple problems
var opts []*goga.Optimiser
if fnkey == "simple" {
io.Pf("\n\n\n")
//P := []int{1}
P := utl.IntRange2(1, 19)
opts = make([]*goga.Optimiser, len(P))
for i, problem := range P {
opts[i] = solve_problem(fnkey, problem)
}
} else {
opts = []*goga.Optimiser{solve_problem(fnkey, 0)}
}
if opts[0].PlotSet1 {
return
}
if opts[0].Nsamples > 1 {
io.Pf("\n")
rpt := goga.NewTexReport(opts)
rpt.ShowDEC = false
rpt.Type = 4
rpt.TextSize = ""
rpt.Title = "FORM Reliability: " + fnkey
rpt.Fnkey = "rel-" + fnkey
rpt.Generate()
}
}
func Test_invs04(tst *testing.T) {
//verbose()
chk.PrintTitle("invs04")
a := []float64{-10.0, -20.0, -30.0, 4.0 * SQ2, 5.0 * SQ2, 6.0 * SQ2}
at := Alloc2()
Man2Ten(at, a)
io.Pf("a = %v\n", a)
chk.Matrix(tst, "Man2Ten", 1e-17, at, [][]float64{
{-10, 4, 6},
{4, -20, 5},
{6, 5, -30},
})
b := []float64{-88, -77, -55, -3 * SQ2}
bt := Alloc2()
Man2Ten(bt, b)
io.Pf("b = %v\n", b)
chk.Matrix(tst, "Man2Ten", 1e-17, bt, [][]float64{
{-88, -3, 0},
{-3, -77, 0},
{0, 0, -55},
})
ver := chk.Verbose
run_invs_tests(tst, a, ver)
run_invs_tests(tst, b, ver)
}
func Test_deep01(tst *testing.T) {
//verbose()
chk.PrintTitle("deep01")
a := Deep3alloc(3, 2, 4)
for i := 0; i < 3; i++ {
for j := 0; j < 2; j++ {
for k := 0; k < 4; k++ {
if math.Abs(a[i][j][k]) > 1e-17 {
tst.Errorf("[1;31ma[i][j][k] failed[0m")
}
}
}
}
io.Pf("a = %v\n", a)
b := Deep4alloc(3, 2, 1, 2)
for i := 0; i < 3; i++ {
for j := 0; j < 2; j++ {
for k := 0; k < 1; k++ {
for l := 0; l < 2; l++ {
if math.Abs(b[i][j][k][l]) > 1e-17 {
tst.Errorf("[1;31mb[i][j][k][l] failed[0m")
}
}
}
}
}
io.Pf("b = %v\n", b)
}
func TestAbs(result, expected, absolute_error float64, test_description string) (status int) {
switch {
case math.IsNaN(result) || math.IsNaN(expected):
status = NaN
case math.IsInf(result, 0) || math.IsInf(expected, 0):
status = Inf
case (expected > 0 && expected < DBL_MIN) || (expected < 0 && expected > -DBL_MIN):
status = NotEqual
default:
if math.Abs(result-expected) > absolute_error {
status = NotEqual
} else {
status = Equal
}
}
if test_description != "" {
io.Pf(test_description)
switch status {
case NaN:
io.Pf(" [1;31mNaN[0m\n %v observed\n %v expected. diff = %v\n", result, expected, result-expected)
case Inf:
io.Pf(" [1;31mInf[0m\n %v observed\n %v expected. diff = %v\n", result, expected, result-expected)
case Equal:
io.Pf(" [1;32mOk[0m\n %v observed\n %v expected. diff = %v\n", result, expected, result-expected)
case NotEqual:
io.Pf(" [1;31mError[0m\n %v observed\n %v expected. diff = %v\n", result, expected, result-expected)
}
}
return
}
// Deep3Deserialize deserializes an array of array of array in column-compressed format
// Example:
func Deep3Deserialize(I, P []int, S []float64, debug bool) (A [][][]float64) {
_, nrows, _, ncols := Deep3GetInfo(I, P, S, false)
A = make([][][]float64, nrows)
for i := 0; i < nrows; i++ {
A[i] = make([][]float64, ncols[i])
}
iprev := 0 // previous i
j := 0 // column index
for l, i := range I {
nitems := P[l+1] - P[l]
if i != iprev { // jumped to new column
j = 0
}
if debug {
io.Pf("l=%v i=%v nitems=%v j=%v\n", l, i, nitems, j)
}
for k, p := 0, P[l]; p < P[l+1]; k, p = k+1, p+1 {
if debug {
io.Pf(" k=%v p=%v s=%v\n", k, p, S[p])
}
if k == 0 {
A[i][j] = make([]float64, nitems)
}
A[i][j][k] = S[p]
}
iprev = i
j += 1
}
return
}
// StatF computes statistical information corresponding to objective function idxF
func StatF(o *Optimiser, idxF int, verbose bool) (fmin, fave, fmax, fdev float64, F []float64) {
nsamples := len(o.BestOvas[idxF])
if nsamples == 0 {
if verbose {
io.Pfred("there are no samples for statistical analysis\n")
}
return
}
F = make([]float64, nsamples)
if nsamples == 1 {
F[0] = o.BestOvas[idxF][0]
fmin, fave, fmax = F[0], F[0], F[0]
return
}
for i, f := range o.BestOvas[idxF] {
F[i] = f
}
fmin, fave, fmax, fdev = rnd.StatBasic(F, true)
if verbose {
str := "\n"
if len(o.RptFref) == o.Nova {
str = io.Sf(" (%g)\n", o.RptFref[idxF])
}
io.Pf("fmin = %g\n", fmin)
io.Pf("fave = %g"+str, fave)
io.Pf("fmax = %g\n", fmax)
io.Pf("fdev = %g\n", fdev)
o.fix_formatting_data()
io.Pf(rnd.BuildTextHist(nice(fmin, o.HistNdig)-o.HistDelFmin, nice(fmax, o.HistNdig)+o.HistDelFmax,
o.HistNsta, F, o.HistFmt, o.HistLen))
}
return
}
func checkinput(tst *testing.T, m *Mesh, nverts, ncells int, X [][]float64, vtags, ctags, parts []int, types []string, V [][]int, etags, ftags [][]int) {
if len(m.Verts) != nverts {
tst.Errorf("nverts is incorrect: %d != %d", len(m.Verts), nverts)
return
}
if len(m.Cells) != ncells {
tst.Errorf("ncells is incorrect: %d != %d", len(m.Cells), ncells)
return
}
io.Pfyel("\nvertices:\n")
for i, v := range m.Verts {
io.Pf("%+v\n", v)
chk.Vector(tst, io.Sf("vertex %2d: X", v.Id), 1e-15, v.X, X[v.Id])
if v.Tag != vtags[i] {
tst.Errorf("vtag is incorrect: %d != %d", v.Tag, vtags[i])
return
}
}
io.Pfyel("\ncells:\n")
for i, c := range m.Cells {
io.Pf("%+v\n", c)
if c.Tag != ctags[i] {
tst.Errorf("ctag is incorrect: %d != %d", c.Tag, ctags[i])
return
}
if c.Part != parts[i] {
tst.Errorf("part is incorrect: %d != %d", c.Part, parts[i])
return
}
chk.String(tst, types[i], c.Type)
chk.Ints(tst, io.Sf("cell %2d : V", c.Id), c.V, V[c.Id])
chk.Ints(tst, io.Sf("cell %2d : edgetags", c.Id), c.EdgeTags, etags[c.Id])
}
}
func Test_nurbs02(tst *testing.T) {
//verbose()
chk.PrintTitle("nurbs02")
// NURBS
b := FactoryNurbs2dPlateHole()
elems := b.Elements()
nbasis := b.GetElemNumBasis()
io.Pforan("nbasis = %v\n", nbasis)
chk.IntAssert(nbasis, 9) // orders := (2,2) => nbasis = (2+1)*(2+1) = 9
// check basis and elements
chk.Ints(tst, "elem[0]", elems[0], []int{2, 3, 2, 3})
chk.Ints(tst, "elem[1]", elems[1], []int{3, 4, 2, 3})
chk.Ints(tst, "ibasis0", b.IndBasis(elems[0]), []int{0, 1, 2, 4, 5, 6, 8, 9, 10})
chk.Ints(tst, "ibasis1", b.IndBasis(elems[1]), []int{1, 2, 3, 5, 6, 7, 9, 10, 11})
chk.IntAssert(b.GetElemNumBasis(), len(b.IndBasis(elems[0])))
// check derivatives
b.CheckDerivs(tst, 11, 1e-5, false)
// refine NURBS
c := b.KrefineN(2, false)
elems = c.Elements()
chk.IntAssert(c.GetElemNumBasis(), len(c.IndBasis(elems[0])))
// check refined elements
io.Pf("\n------------ refined -------------\n")
chk.Ints(tst, "elem[0]", elems[0], []int{2, 3, 2, 3})
chk.Ints(tst, "elem[1]", elems[1], []int{3, 4, 2, 3})
chk.Ints(tst, "elem[2]", elems[2], []int{4, 5, 2, 3})
chk.Ints(tst, "elem[3]", elems[3], []int{5, 6, 2, 3})
chk.Ints(tst, "elem[4]", elems[4], []int{2, 3, 3, 4})
chk.Ints(tst, "elem[5]", elems[5], []int{3, 4, 3, 4})
chk.Ints(tst, "elem[6]", elems[6], []int{4, 5, 3, 4})
chk.Ints(tst, "elem[7]", elems[7], []int{5, 6, 3, 4})
// check refined basis
chk.Ints(tst, "ibasis0", c.IndBasis(elems[0]), []int{0, 1, 2, 6, 7, 8, 12, 13, 14})
chk.Ints(tst, "ibasis1", c.IndBasis(elems[1]), []int{1, 2, 3, 7, 8, 9, 13, 14, 15})
chk.Ints(tst, "ibasis2", c.IndBasis(elems[2]), []int{2, 3, 4, 8, 9, 10, 14, 15, 16})
chk.Ints(tst, "ibasis3", c.IndBasis(elems[3]), []int{3, 4, 5, 9, 10, 11, 15, 16, 17})
chk.Ints(tst, "ibasis4", c.IndBasis(elems[4]), []int{6, 7, 8, 12, 13, 14, 18, 19, 20})
chk.Ints(tst, "ibasis5", c.IndBasis(elems[5]), []int{7, 8, 9, 13, 14, 15, 19, 20, 21})
chk.Ints(tst, "ibasis6", c.IndBasis(elems[6]), []int{8, 9, 10, 14, 15, 16, 20, 21, 22})
chk.Ints(tst, "ibasis7", c.IndBasis(elems[7]), []int{9, 10, 11, 15, 16, 17, 21, 22, 23})
// plot
if chk.Verbose {
io.Pf("\n------------ plot -------------\n")
la := 0 + 0*b.n[0]
lb := 2 + 1*b.n[0]
PlotNurbs("/tmp/gosl/gm", "nurbs02a.png", b, 41, true, nil)
PlotNurbsBasis("/tmp/gosl/gm", "nurbs02b.png", b, la, lb)
PlotNurbsDerivs("/tmp/gosl/gm", "nurbs02c.png", b, la, lb)
PlotTwoNurbs("/tmp/gosl/gm", "nurbs02d.png", b, c, 41, true, nil)
}
}
// Print prints the souble-serial-list
func (o DblSlist) Print(fmt string) {
for i := 0; i < len(o.Ptrs)-1; i++ {
for j := o.Ptrs[i]; j < o.Ptrs[i+1]; j++ {
io.Pf(fmt, o.Vals[j])
}
io.Pf("\n")
}
}
func Test_fun12(tst *testing.T) {
//verbose()
chk.PrintTitle("fun12. mul")
cos, err := New("cos", []*Prm{
&Prm{N: "a", V: 1},
&Prm{N: "b/pi", V: 2},
&Prm{N: "c", V: 1},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
lin, err := New("lin", []*Prm{
&Prm{N: "m", V: 0.5},
&Prm{N: "ts", V: 0},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
mul, err := New("mul", []*Prm{
&Prm{N: "fa", Fcn: cos},
&Prm{N: "fb", Fcn: lin},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
tmin := 0.0
tmax := 1.0
xcte := []float64{0, 0, 0}
//if true {
if false {
withG, withH, save, show := true, true, false, true
plt.Reset()
PlotT(cos, "/tmp/gosl", "fun-cos-12.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
plt.Reset()
PlotT(lin, "/tmp/gosl", "fun-lin-12.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
plt.Reset()
PlotT(mul, "/tmp/gosl", "fun-mul-12.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
}
sktol := 1e-10
dtol := 1e-9
dtol2 := 1e-8
ver := chk.Verbose
tskip := []float64{tmin, tmax}
CheckDerivT(tst, cos, tmin, tmax, xcte, 11, nil, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, lin, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, mul, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
}
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)
}
}
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")
}
}
func TestSparseLA02(tst *testing.T) {
chk.PrintTitle("TestSparse LA02")
var t TripletC
t.Init(3, 5, 15, false)
t.Put(0, 0, 1, 0)
t.Put(0, 1, 2, 0)
t.Put(0, 2, 3, 0)
t.Put(0, 3, 4, 0)
t.Put(0, 4, 5, 0)
t.Put(1, 0, 0.1, 0)
t.Put(1, 1, 0.2, 0)
t.Put(1, 2, 0.3, 0)
t.Put(1, 3, 0.4, 0)
t.Put(1, 4, 0.5, 0)
t.Put(2, 0, 10, 0)
t.Put(2, 1, 20, 0)
t.Put(2, 2, 30, 0)
t.Put(2, 3, 40, 0)
t.Put(2, 4, 50, 0)
a := t.ToMatrix(nil)
ad := a.ToDense()
u := []complex128{0.1, 0.2, 0.3, 0.4, 0.5}
w := []complex128{10.0, 20.0, 30.0}
r := []complex128{1000, 1000, 1000, 1000, 1000}
s := []complex128{1000, 1000, 1000}
PrintMatC("a", ad, "(%4g", " +%4gi) ", false)
PrintVecC("u", u, "(%4g", " +%4gi) ", false)
PrintVecC("w", w, "(%4g", " +%4gi) ", false)
PrintVecC("r", r, "(%4g", " +%4gi) ", false)
PrintVecC("s", s, "(%4g", " +%4gi) ", false)
io.Pf("\nfunc SpMatVecMul(v []float64, α float64, a [][]float64, u []float64)\n")
p := make([]complex128, 3)
SpMatVecMulC(p, 1, a, u) // p := 1*a*u
PrintVecC("p = a*u", p, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "p = a*u", 1e-17, p, []complex128{5.5, 0.55, 55})
io.Pf("\nfunc SpMatVecMulAdd(v []float64, α float64, a [][]float64, u []float64)\n")
SpMatVecMulAddC(s, 1, a, u) // s += dot(a, u)
PrintVecC("s += a*u", s, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "s += a*u", 1e-17, s, []complex128{1005.5, 1000.55, 1055})
io.Pf("\nfunc SpMatTrVecMul(v []float64, α float64, a [][]float64, u []float64)\n")
q := make([]complex128, 5)
SpMatTrVecMulC(q, 1, a, w) // q = dot(transpose(a), w)
PrintVecC("q = trans(a)*w", q, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "q = trans(a)*w", 1e-17, q, []complex128{312, 624, 936, 1248, 1560})
io.Pf("\nfunc SpMatTrVecMulAdd(v []float64, α float64, a [][]float64, u []float64)\n")
SpMatTrVecMulAddC(r, 1, a, w) // r += dot(transpose(a), w)
PrintVecC("r += trans(a)*w", r, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "r += trans(a)*w", 1e-17, r, []complex128{1312, 1624, 1936, 2248, 2560})
}
func TestSparseLA03(tst *testing.T) {
chk.PrintTitle("TestSparse LA03")
var t TripletC
t.Init(3, 5, 15, false)
t.Put(0, 0, 1, 0)
t.Put(0, 1, 2, -1)
t.Put(0, 2, 3, 0)
t.Put(0, 3, 4, 3)
t.Put(0, 4, 5, 2)
t.Put(1, 0, 0.1, 1)
t.Put(1, 1, 0.2, 0)
t.Put(1, 2, 0.3, -2)
t.Put(1, 3, 0.4, 0)
t.Put(1, 4, 0.5, -1)
t.Put(2, 0, 10, 0)
t.Put(2, 1, 20, 2)
t.Put(2, 2, 30, 0)
t.Put(2, 3, 40, -1)
t.Put(2, 4, 50, 0)
a := t.ToMatrix(nil)
ad := a.ToDense()
u := []complex128{0.1, 0.2 + 10i, 0.3, 0.4 + 3i, 0.5}
w := []complex128{10.0 + 1i, 20.0 - 0.5i, 30.0}
r := []complex128{1000 + 1i, 1000 + 1i, 1000 + 1i, 1000 + 1i, 1000 + 1i}
s := []complex128{1000 - 1i, 1000 - 1i, 1000 - 1i}
PrintMatC("a", ad, "(%4g", " +%4gi) ", false)
PrintVecC("u", u, "(%4g", " +%4gi) ", false)
PrintVecC("w", w, "(%4g", " +%4gi) ", false)
PrintVecC("r", r, "(%4g", " +%4gi) ", false)
PrintVecC("s", s, "(%4g", " +%4gi) ", false)
io.Pf("\nfunc SpMatVecMul(v []float64, α float64, a [][]float64, u []float64)\n")
p := make([]complex128, 3)
SpMatVecMulC(p, 1, a, u) // p := 1*a*u
PrintVecC("p = a*u", p, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "p = a*u", 1e-17, p, []complex128{6.5 + 34i, 0.55 + 2.2i, 38 + 320i})
io.Pf("\nfunc SpMatVecMulAdd(v []float64, α float64, a [][]float64, u []float64)\n")
SpMatVecMulAddC(s, 1, a, u) // s += dot(a, u)
PrintVecC("s += a*u", s, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "s += a*u", 1e-15, s, []complex128{1006.5 + 33i, 1000.55 + 1.2i, 1038 + 319i})
io.Pf("\nfunc SpMatTrVecMul(v []float64, α float64, a [][]float64, u []float64)\n")
q := make([]complex128, 5)
SpMatTrVecMulC(q, 1, a, w) // q = dot(transpose(a), w)
PrintVecC("q = trans(a)*w", q, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "q = trans(a)*w", 1e-14, q, []complex128{312.5 + 20.95i, 625 + 51.9i, 935 - 37.15i, 1245 + 3.8i, 1557.5 + 4.75i})
io.Pf("\nfunc SpMatTrVecMulAdd(v []float64, α float64, a [][]float64, u []float64)\n")
SpMatTrVecMulAddC(r, 1, a, w) // r += dot(transpose(a), w)
PrintVecC("r += trans(a)*w", r, "(%2g", " +%4gi) ", false)
chk.VectorC(tst, "r += trans(a)*w", 1e-14, r, []complex128{1312.5 + 21.95i, 1625 + 52.9i, 1935 - 36.15i, 2245 + 4.8i, 2557.5 + 5.75i})
}
func Test_fun03(tst *testing.T) {
//verbose()
chk.PrintTitle("fun03. add, cte, srmps")
cte, err := New("cte", []*Prm{&Prm{N: "C", V: 30}})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
srmps, err := New("srmps", []*Prm{
&Prm{N: "ca", V: 0},
&Prm{N: "cb", V: 1},
&Prm{N: "ta", V: 0},
&Prm{N: "tb", V: 1},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
add, err := New("add", []*Prm{
&Prm{N: "a", V: 1},
&Prm{N: "b", V: 1},
&Prm{N: "fa", Fcn: cte},
&Prm{N: "fb", Fcn: srmps},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
tmin := 0.0
tmax := 1.0
xcte := []float64{0, 0, 0}
if false {
withG, withH, save, show := true, true, false, true
plt.Reset()
PlotT(cte, "/tmp/gosl", "fun-cte-01.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
plt.Reset()
PlotT(srmps, "/tmp/gosl", "fun-srmps-01.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
plt.Reset()
PlotT(add, "/tmp/gosl", "fun-add-01.png", tmin, tmax, xcte, 41, "", withG, withH, save, show, nil)
}
sktol := 1e-10
dtol := 1e-10
dtol2 := 1e-9
ver := chk.Verbose
tskip := []float64{tmin, tmax}
CheckDerivT(tst, cte, tmin, tmax, xcte, 11, nil, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, srmps, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, add, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
}
func Test_fun12(tst *testing.T) {
//verbose()
chk.PrintTitle("fun12. mul")
cos, err := New("cos", []*Prm{
&Prm{N: "a", V: 1},
&Prm{N: "b/pi", V: 2},
&Prm{N: "c", V: 1},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
lin, err := New("lin", []*Prm{
&Prm{N: "m", V: 0.5},
&Prm{N: "ts", V: 0},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
mul, err := New("mul", []*Prm{
&Prm{N: "fa", Fcn: cos},
&Prm{N: "fb", Fcn: lin},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
tmin := 0.0
tmax := 1.0
xcte := []float64{0, 0, 0}
if chk.Verbose {
plt.SetForPng(1.2, 400, 150)
PlotT(cos, "/tmp/gosl/fun", "cosB.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
plt.Clf()
PlotT(lin, "/tmp/gosl/fun", "linB.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
plt.Clf()
PlotT(mul, "/tmp/gosl/fun", "mul.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
}
sktol := 1e-10
dtol := 1e-9
dtol2 := 1e-8
ver := chk.Verbose
tskip := []float64{tmin, tmax}
CheckDerivT(tst, cos, tmin, tmax, xcte, 11, nil, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, lin, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, mul, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
}
func Test_fun03(tst *testing.T) {
//verbose()
chk.PrintTitle("fun03. add, cte, srmps")
cte, err := New("cte", []*Prm{&Prm{N: "c", V: 30}})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
srmps, err := New("srmps", []*Prm{
&Prm{N: "ca", V: 0},
&Prm{N: "cb", V: 1},
&Prm{N: "ta", V: 0},
&Prm{N: "tb", V: 1},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
add, err := New("add", []*Prm{
&Prm{N: "a", V: 1},
&Prm{N: "b", V: 1},
&Prm{N: "fa", Fcn: cte},
&Prm{N: "fb", Fcn: srmps},
})
if err != nil {
tst.Errorf("test failed: %v\n", err)
return
}
tmin := 0.0
tmax := 1.0
xcte := []float64{0, 0, 0}
if chk.Verbose {
plt.SetForPng(1.2, 400, 150)
PlotT(cte, "/tmp/gosl/fun", "cte.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
plt.Clf()
PlotT(srmps, "/tmp/gosl/fun", "srmps.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
plt.Clf()
PlotT(add, "/tmp/gosl/fun", "add.png", tmin, tmax, xcte, 41, "", "", "", "", "label='f'", "label='g'", "label='h'")
}
sktol := 1e-10
dtol := 1e-10
dtol2 := 1e-9
ver := chk.Verbose
tskip := []float64{tmin, tmax}
CheckDerivT(tst, cte, tmin, tmax, xcte, 11, nil, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, srmps, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
io.Pf("\n")
CheckDerivT(tst, add, tmin, tmax, xcte, 11, tskip, sktol, dtol, dtol2, ver)
}
func (o *Rjoint) debug_update(idx int, Δwb0, Δwb1, Δwb2, σc float64) {
τ := o.States[idx].Sig
qn1 := o.States[idx].Phi[0]
qn2 := o.States[idx].Phi[1]
la.PrintVec("Δw", o.Δw, "%13.10f", false)
io.Pf("Δwb0=%13.10f Δwb1=%13.10f Δwb2=%13.10f\n", Δwb0, Δwb1, Δwb2)
la.PrintVec("σIp", o.σIp, "%13.10f", false)
io.Pf("σc=%13.10f t1=%13.10f t2=%13.10f\n", σc, o.t1, o.t2)
io.Pf("τ=%13.10f qn1=%13.10f qn2=%13.10f\n", τ, qn1, qn2)
}
func RunMumpsTestC(t *TripletC, tol_cmp float64, b, x_correct []complex128, sum_b_to_root bool) {
// info
symmetric := false
verbose := false
timing := false
// allocate solver
lis := GetSolver("mumps")
defer lis.Clean()
// initialise solver
err := lis.InitC(t, symmetric, verbose, timing)
if err != nil {
chk.Panic("%v", err.Error())
}
// factorise
err = lis.Fact()
if err != nil {
chk.Panic("%v", err.Error())
}
// solve
bR, bC := ComplexToRC(b)
xR := make([]float64, len(b))
xC := make([]float64, len(b))
err = lis.SolveC(xR, xC, bR, bC, sum_b_to_root) // x := inv(A) * b
if err != nil {
chk.Panic("%v", err.Error())
}
x := RCtoComplex(xR, xC)
if mpi.Rank() == 0 {
// output
A := t.ToMatrix(nil)
io.Pforan("A.x = b\n")
PrintMatC("A", A.ToDense(), "(%g+", "%gi) ", false)
PrintVecC("x", x, "(%g+", "%gi) ", false)
PrintVecC("b", b, "(%g+", "%gi) ", false)
// check
xR_correct, xC_correct := ComplexToRC(x_correct)
errR := VecMaxDiff(xR, xR_correct)
if errR > tol_cmp {
chk.Panic("test failed: errR = %g", errR)
}
errC := VecMaxDiff(xC, xC_correct)
if errC > tol_cmp {
chk.Panic("test failed: errC = %g", errC)
}
io.Pf("err(xR) = %g [1;32mOK[0m\n", errR)
io.Pf("err(xC) = %g [1;32mOK[0m\n", errC)
}
}
func (o *Rjoint) debug_print_init() {
sldNn := o.Sld.Cell.Shp.Nverts
rodNn := o.Rod.Cell.Shp.Nverts
rodNp := len(o.Rod.IpsElem)
io.Pf("Nmat =\n")
for i := 0; i < sldNn; i++ {
for j := 0; j < rodNn; j++ {
io.Pf("%g ", o.Nmat[i][j])
}
io.Pf("\n")
}
io.Pf("\nPmat =\n")
for i := 0; i < sldNn; i++ {
for j := 0; j < rodNp; j++ {
io.Pf("%g ", o.Pmat[i][j])
}
io.Pf("\n")
}
io.Pf("\n")
la.PrintMat("e0", o.e0, "%20.13f", false)
io.Pf("\n")
la.PrintMat("e1", o.e1, "%20.13f", false)
io.Pf("\n")
la.PrintMat("e2", o.e2, "%20.13f", false)
}
func Test_invs05(tst *testing.T) {
//verbose()
chk.PrintTitle("invs05")
if SAVEPLOT {
plt.Reset()
plt.SetForPng(1, 500, 125)
PlotRosette(1.1, true, true, true, 7)
}
addtoplot := func(σa, σb float64, σ []float64) {
plt.PlotOne(σa, σb, "'ro', ms=5")
plt.Text(σa, σb, io.Sf("$\\sigma_{123}=(%g,%g,%g)$", σ[0], σ[1], σ[2]), "size=8")
}
dotest := func(σ []float64, σacor, σbcor, σccor, θcor, tolσ float64) {
w := M_w(σ)
θ2 := math.Asin(w) * 180.0 / (3.0 * math.Pi)
θ3 := M_θ(σ)
σa, σb, σc := L2O(σ[0], σ[1], σ[2])
σ0, σ1, σ2 := O2L(σa, σb, σc)
σI, σA := make([]float64, 3), []float64{σa, σb, σc}
la.MatVecMul(σI, 1, O2Lmat(), σA) // σI := L * σA
io.Pf("σa σb σc = %v %v %v\n", σa, σb, σc)
io.Pf("w = %v\n", w)
io.Pf("θ2, θ3 = %v, %v\n", θ2, θ3)
chk.Scalar(tst, "σa", 1e-17, σa, σacor)
chk.Scalar(tst, "σb", 1e-17, σb, σbcor)
chk.Scalar(tst, "σc", 1e-17, σc, σccor)
chk.Scalar(tst, "σ0", tolσ, σ0, σ[0])
chk.Scalar(tst, "σ1", tolσ, σ1, σ[1])
chk.Scalar(tst, "σ2", tolσ, σ2, σ[2])
chk.Scalar(tst, "σI0", tolσ, σI[0], σ[0])
chk.Scalar(tst, "σI1", tolσ, σI[1], σ[1])
chk.Scalar(tst, "σI2", tolσ, σI[2], σ[2])
chk.Scalar(tst, "θ2", 1e-6, θ2, θcor)
chk.Scalar(tst, "θ3", 1e-17, θ3, θ2)
addtoplot(σa, σb, σ)
}
dotest([]float64{-1, 0, 0, 0}, 0, 2.0/SQ6, 1.0/SQ3, 30, 1e-15)
dotest([]float64{0, -1, 0, 0}, 1.0/SQ2, -1.0/SQ6, 1.0/SQ3, 30, 1e-15)
dotest([]float64{0, 0, -1, 0}, -1.0/SQ2, -1.0/SQ6, 1.0/SQ3, 30, 1e-15)
if SAVEPLOT {
plt.Gll("$\\sigma_a$", "$\\sigma_b$", "")
plt.Equal()
plt.SaveD("/tmp/gosl", "fig_invs05.png")
}
}
func Test_cxdeb01(tst *testing.T) {
//verbose()
chk.PrintTitle("cxdeb01. Deb's crossover")
var ops OpsData
ops.SetDefault()
ops.Pc = 1.0
ops.Xrange = [][]float64{{-3, 3}, {-4, 4}}
ops.EnfRange = true
rnd.Init(0)
A := []float64{-1, 1}
B := []float64{1, 2}
a := make([]float64, len(A))
b := make([]float64, len(A))
FltCrossoverDeb(a, b, A, B, 0, &ops)
io.Pforan("A = %v\n", A)
io.Pforan("B = %v\n", B)
io.Pfcyan("a = %.6f\n", a)
io.Pfcyan("b = %.6f\n", b)
nsamples := 1000
a0s, a1s := make([]float64, nsamples), make([]float64, nsamples)
b0s, b1s := make([]float64, nsamples), make([]float64, nsamples)
for i := 0; i < nsamples; i++ {
FltCrossoverDeb(a, b, B, A, 0, &ops)
a0s[i], a1s[i] = a[0], a[1]
b0s[i], b1s[i] = b[0], b[1]
}
ha0 := rnd.Histogram{Stations: []float64{-4, -3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1}}
hb0 := rnd.Histogram{Stations: []float64{0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 5, 5.5, 6}}
ha1 := rnd.Histogram{Stations: utl.LinSpace(-4, 4, 11)}
hb1 := rnd.Histogram{Stations: utl.LinSpace(-4, 4, 11)}
ha0.Count(a0s, true)
hb0.Count(b0s, true)
ha1.Count(a1s, true)
hb1.Count(b1s, true)
io.Pforan("\na0s\n")
io.Pf("%s", rnd.TextHist(ha0.GenLabels("%.1f"), ha0.Counts, 60))
io.Pforan("b0s\n")
io.Pf("%s", rnd.TextHist(hb0.GenLabels("%.1f"), hb0.Counts, 60))
io.Pforan("\na1s\n")
io.Pf("%s", rnd.TextHist(ha1.GenLabels("%.1f"), ha1.Counts, 60))
io.Pforan("b1s\n")
io.Pf("%s", rnd.TextHist(hb1.GenLabels("%.1f"), hb1.Counts, 60))
}
