// 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()
}
}
// PlotOct plots a function cross-section and gradients projections on octahedral plane
func PlotOct(filename string, σcCte, rmin, rmax float64, nr, nα int, φ float64, F Cb_F_t, G Cb_G_t,
notpolarc, simplec, only0, grads, showpts, first, last bool, ferr float64, args ...interface{}) {
A := make([]float64, 6)
dfdA := make([]float64, 6)
dα := 2.0 * math.Pi / float64(nα)
dr := (rmax - rmin) / float64(nr-1)
αmin := -math.Pi / 6.0
if notpolarc {
rmin = -rmax
dr = (rmax - rmin) / float64(nr-1)
nα = nr
dα = dr
αmin = rmin
}
x, y, f := la.MatAlloc(nα, nr), la.MatAlloc(nα, nr), la.MatAlloc(nα, nr)
//var gx, gy, L [][]float64
var gx, gy [][]float64
if grads {
gx, gy = la.MatAlloc(nα, nr), la.MatAlloc(nα, nr)
//L = O2Lmat()
}
var σa, σb []float64
if showpts {
σa, σb = make([]float64, nα*nr), make([]float64, nα*nr)
}
k := 0
var err error
for i := 0; i < nα; i++ {
for j := 0; j < nr; j++ {
α := αmin + float64(i)*dα
r := rmin + float64(j)*dr
if notpolarc {
x[i][j] = α // σa
y[i][j] = r // σb
} else {
x[i][j] = r * math.Cos(α) // σa
y[i][j] = r * math.Sin(α) // σb
}
A[0], A[1], A[2] = O2L(x[i][j], y[i][j], σcCte)
if showpts {
σa[k] = x[i][j]
σb[k] = y[i][j]
}
f[i][j], err = F(A, args...)
if err != nil {
if ferr > 0 {
f[i][j] = ferr
} else {
chk.Panic(_octahedral_err1, "func", err)
}
}
if grads {
_, err = G(dfdA, A, args...)
if err != nil {
chk.Panic(_octahedral_err1, "grads", err)
}
/*
gx[i][j] = -o.dfdλ[0]*L[0][0] - o.dfdλ[1]*L[1][0] - o.dfdλ[2]*L[2][0]
gy[i][j] = -o.dfdλ[0]*L[0][1] - o.dfdλ[1]*L[1][1] - o.dfdλ[2]*L[2][1]
*/
}
k += 1
}
}
if first {
plt.Reset()
plt.SetForPng(1, 500, 125)
PlotRosette(1.1*rmax, true, true, true, 7)
PlotRefOct(φ, σcCte, false)
if showpts {
plt.Plot(σa, σb, "'k.', ms=5")
}
}
if simplec {
if !only0 {
plt.ContourSimple(x, y, f, false, 8, "")
}
plt.ContourSimple(x, y, f, false, 8, "levels=[0], colors=['blue'], linewidths=[2]")
} else {
plt.Contour(x, y, f, "fsz=8")
}
if grads {
plt.Quiver(x, y, gx, gy, "")
}
if last {
plt.AxisOff()
plt.Equal()
plt.SaveD("/tmp", filename)
}
}