// PlotDeriv plots derivative dR[i][j][k]du[d] (2D only)
// option = 0 : use CalcBasisAndDerivs
// 1 : use NumericalDeriv
func (o *Nurbs) PlotDeriv(l, d int, args string, npts, option int) {
lbls := []string{"N\\&dN", "numD"}
switch o.gnd {
// curve
case 1:
// surface
case 2:
xx := la.MatAlloc(npts, npts)
yy := la.MatAlloc(npts, npts)
zz := la.MatAlloc(npts, npts)
du0 := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
du1 := (o.b[1].tmax - o.b[1].tmin) / float64(npts-1)
drdu := make([]float64, 2)
for m := 0; m < npts; m++ {
u0 := o.b[0].tmin + float64(m)*du0
for n := 0; n < npts; n++ {
u1 := o.b[1].tmin + float64(n)*du1
u := []float64{u0, u1}
x := o.Point(u)
xx[m][n] = x[0]
yy[m][n] = x[1]
switch option {
case 0:
o.CalcBasisAndDerivs(u)
o.GetDerivL(drdu, l)
case 1:
o.NumericalDeriv(drdu, u, l)
}
zz[m][n] = drdu[d]
}
}
plt.Title(io.Sf("%d,%d:%s", l, d, lbls[option]), "size=10")
plt.Contour(xx, yy, zz, "fsz=8")
}
}
// PlotBasis plots basis function (2D only)
// option = 0 : use CalcBasis
// 1 : use CalcBasisAndDerivs
// 2 : use RecursiveBasis
func (o *Nurbs) PlotBasis(l int, args string, npts, option int) {
lbls := []string{"Nonly", "N\\&dN", "recN"}
switch o.gnd {
// curve
case 1:
xx := make([]float64, npts)
yy := make([]float64, npts)
du0 := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
for m := 0; m < npts; m++ {
u0 := o.b[0].tmin + float64(m)*du0
u := []float64{u0}
x := o.Point(u)
xx[m] = x[0]
switch option {
case 0:
o.CalcBasis(u)
yy[m] = o.GetBasisL(l)
case 1:
o.CalcBasisAndDerivs(u)
yy[m] = o.GetBasisL(l)
case 2:
yy[m] = o.RecursiveBasis(u, l)
}
}
plt.Plot(xx, yy, "fsz=8")
// surface
case 2:
xx := la.MatAlloc(npts, npts)
yy := la.MatAlloc(npts, npts)
zz := la.MatAlloc(npts, npts)
du0 := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
du1 := (o.b[1].tmax - o.b[1].tmin) / float64(npts-1)
for m := 0; m < npts; m++ {
u0 := o.b[0].tmin + float64(m)*du0
for n := 0; n < npts; n++ {
u1 := o.b[1].tmin + float64(n)*du1
u := []float64{u0, u1}
x := o.Point(u)
xx[m][n] = x[0]
yy[m][n] = x[1]
switch option {
case 0:
o.CalcBasis(u)
zz[m][n] = o.GetBasisL(l)
case 1:
o.CalcBasisAndDerivs(u)
zz[m][n] = o.GetBasisL(l)
case 2:
zz[m][n] = o.RecursiveBasis(u, l)
}
}
}
plt.Contour(xx, yy, zz, "fsz=8")
}
plt.Title(io.Sf("%d:%s", l, lbls[option]), "size=10")
}
// PlotBasis plots basis function (2D only)
// option = 0 : use CalcBasis
// 1 : use CalcBasisAndDerivs
// 2 : use RecursiveBasis
func (o *Nurbs) PlotBasis(l int, args string, npts, option int) {
lbls := []string{"CalcBasis function", "CalcBasisAndDerivs function", "RecursiveBasis function"}
switch o.gnd {
// curve
case 1:
U := make([]float64, npts)
S := make([]float64, npts)
du := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
uvec := []float64{0}
for m := 0; m < npts; m++ {
U[m] = o.b[0].tmin + float64(m)*du
uvec[0] = U[m]
switch option {
case 0:
o.CalcBasis(uvec)
S[m] = o.GetBasisL(l)
case 1:
o.CalcBasisAndDerivs(uvec)
S[m] = o.GetBasisL(l)
case 2:
S[m] = o.RecursiveBasis(uvec, l)
}
}
plt.Plot(U, S, args)
plt.Gll("$u$", io.Sf("$S_%d$", l), "")
// surface
case 2:
xx := la.MatAlloc(npts, npts)
yy := la.MatAlloc(npts, npts)
zz := la.MatAlloc(npts, npts)
du0 := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
du1 := (o.b[1].tmax - o.b[1].tmin) / float64(npts-1)
for m := 0; m < npts; m++ {
u0 := o.b[0].tmin + float64(m)*du0
for n := 0; n < npts; n++ {
u1 := o.b[1].tmin + float64(n)*du1
u := []float64{u0, u1}
x := o.Point(u)
xx[m][n] = x[0]
yy[m][n] = x[1]
switch option {
case 0:
o.CalcBasis(u)
zz[m][n] = o.GetBasisL(l)
case 1:
o.CalcBasisAndDerivs(u)
zz[m][n] = o.GetBasisL(l)
case 2:
zz[m][n] = o.RecursiveBasis(u, l)
}
}
}
plt.Contour(xx, yy, zz, "fsz=7")
}
plt.Title(io.Sf("%s @ %d", lbls[option], l), "size=7")
}
// Draw draws or save figure with plot
// dirout -- directory to save figure
// fname -- file name; e.g. myplot.eps or myplot.png. Use "" to skip saving
// show -- shows figure
// extra -- is called just after Subplot command and before any plotting
// Note: subplots will be split if using 'eps' files
func Draw(dirout, fname string, show bool, extra ExtraPlt) {
var fnk string // filename key
var ext string // extension
var eps bool // is eps figure
if fname != "" {
fnk = io.FnKey(fname)
ext = io.FnExt(fname)
eps = ext == ".eps"
}
nplots := len(Splots)
nr, nc := utl.BestSquare(nplots)
var k int
for i := 0; i < nr; i++ {
for j := 0; j < nc; j++ {
if !eps {
plt.Subplot(nr, nc, k+1)
}
if extra != nil {
extra(i+1, j+1, nplots)
}
if Splots[k].Title != "" {
plt.Title(Splots[k].Title, Splots[k].Topts)
}
data := Splots[k].Data
for _, d := range data {
if d.Style.L == "" {
d.Style.L = d.Alias
}
x, y := d.X, d.Y
if math.Abs(Splots[k].Xscale) > 0 {
x = make([]float64, len(d.X))
la.VecCopy(x, Splots[k].Xscale, d.X)
}
if math.Abs(Splots[k].Yscale) > 0 {
y = make([]float64, len(d.Y))
la.VecCopy(y, Splots[k].Yscale, d.Y)
}
plt.Plot(x, y, d.Style.GetArgs("clip_on=0"))
}
plt.Gll(Splots[k].Xlbl, Splots[k].Ylbl, Splots[k].GllArgs)
if eps {
savefig(dirout, fnk, ext, k)
plt.Clf()
}
k += 1
}
}
if !eps && fname != "" {
savefig(dirout, fnk, ext, -1)
}
if show {
plt.Show()
}
}
// PlotDeriv plots derivative dR[i][j][k]du[d] (2D only)
// option = 0 : use CalcBasisAndDerivs
// 1 : use NumericalDeriv
func (o *Nurbs) PlotDeriv(l, d int, args string, npts, option int) {
lbls := []string{"CalcBasisAndDerivs function", "NumericalDeriv function"}
switch o.gnd {
// curve
case 1:
U := make([]float64, npts)
G := make([]float64, npts)
du := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
uvec := []float64{0}
gvec := []float64{0}
for m := 0; m < npts; m++ {
U[m] = o.b[0].tmin + float64(m)*du
uvec[0] = U[m]
switch option {
case 0:
o.CalcBasisAndDerivs(uvec)
o.GetDerivL(gvec, l)
case 1:
o.NumericalDeriv(gvec, uvec, l)
}
G[m] = gvec[0]
}
plt.Plot(U, G, args)
plt.Gll("$u$", io.Sf("$G_%d$", l), "")
// surface
case 2:
xx := la.MatAlloc(npts, npts)
yy := la.MatAlloc(npts, npts)
zz := la.MatAlloc(npts, npts)
du0 := (o.b[0].tmax - o.b[0].tmin) / float64(npts-1)
du1 := (o.b[1].tmax - o.b[1].tmin) / float64(npts-1)
drdu := make([]float64, 2)
for m := 0; m < npts; m++ {
u0 := o.b[0].tmin + float64(m)*du0
for n := 0; n < npts; n++ {
u1 := o.b[1].tmin + float64(n)*du1
u := []float64{u0, u1}
x := o.Point(u)
xx[m][n] = x[0]
yy[m][n] = x[1]
switch option {
case 0:
o.CalcBasisAndDerivs(u)
o.GetDerivL(drdu, l)
case 1:
o.NumericalDeriv(drdu, u, l)
}
zz[m][n] = drdu[d]
}
}
plt.Contour(xx, yy, zz, "fsz=7")
}
plt.Title(io.Sf("%s @ %d,%d", lbls[option], l, d), "size=7")
}
// PlotX plots F and the gradient of F, Gx and Gy, for varying x and fixed t
// hlZero -- highlight F(t,x) = 0
// axEqual -- use axis['equal']
func PlotX(o Func, dirout, fname string, tcte float64, xmin, xmax []float64, np int, args string, withGrad, hlZero, axEqual, save, show bool, extra func()) {
if len(xmin) == 3 {
chk.Panic("PlotX works in 2D only")
}
X, Y := utl.MeshGrid2D(xmin[0], xmax[0], xmin[1], xmax[1], np, np)
F := la.MatAlloc(np, np)
var Gx, Gy [][]float64
nrow := 1
if withGrad {
Gx = la.MatAlloc(np, np)
Gy = la.MatAlloc(np, np)
nrow += 1
}
x := make([]float64, 2)
g := make([]float64, 2)
for i := 0; i < np; i++ {
for j := 0; j < np; j++ {
x[0], x[1] = X[i][j], Y[i][j]
F[i][j] = o.F(tcte, x)
if withGrad {
o.Grad(g, tcte, x)
Gx[i][j] = g[0]
Gy[i][j] = g[1]
}
}
}
prop, wid, dpi := 1.0, 600.0, 200
os.MkdirAll(dirout, 0777)
if withGrad {
prop = 2
plt.SetForPng(prop, wid, dpi)
plt.Subplot(nrow, 1, 1)
plt.Title("F(t,x)", "")
} else {
plt.SetForPng(prop, wid, dpi)
}
plt.Contour(X, Y, F, args)
if hlZero {
plt.ContourSimple(X, Y, F, false, 8, "levels=[0], linewidths=[2], colors=['yellow']")
}
if axEqual {
plt.Equal()
}
if extra != nil {
extra()
}
plt.Gll("x", "y", "")
if withGrad {
plt.Subplot(2, 1, 2)
plt.Title("gradient", "")
plt.Quiver(X, Y, Gx, Gy, args)
if axEqual {
plt.Equal()
}
plt.Gll("x", "y", "")
}
if save {
plt.Save(dirout + "/" + fname)
}
if show {
plt.Show()
}
}