func (o *Plotter) Plot_Dgam_f(x, y []float64, res []*State, sts [][]float64, last bool) {
if o.m == nil {
o.set_empty()
return
}
nr := len(res)
k := nr - 1
ys := o.m.YieldFuncs(res[0])
fc0 := ys[0]
xmi, xma, ymi, yma := res[0].Dgam, res[0].Dgam, fc0, fc0
for i := 0; i < nr; i++ {
x[i] = res[i].Dgam
ys = o.m.YieldFuncs(res[i])
y[i] = ys[0]
xmi = min(xmi, x[i])
xma = max(xma, x[i])
ymi = min(ymi, y[i])
yma = max(yma, y[i])
}
//o.DrawRamp(xmi, xma, ymi, yma)
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
if last {
plt.Gll("$\\Delta\\gamma$", "$f$", "")
if lims, ok := o.Lims["Dgam,f"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_i_alp(x, y []float64, res []*State, sts [][]float64, last bool) {
nr := len(res)
nα := len(res[0].Alp)
if nα == 0 {
o.set_empty()
return
}
yy := la.MatAlloc(nα, nr)
for i := 0; i < nr; i++ {
x[i] = float64(i)
for j := 0; j < nα; j++ {
yy[j][i] = res[i].Alp[j]
}
}
for j := 0; j < nα; j++ {
lbl := io.Sf("$\\alpha_%d$ "+o.Lbl, j)
plt.Plot(x, yy[j], io.Sf("'r-', ls='-', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Clr, o.Mrk, lbl))
}
if last {
plt.Gll("$i$", "$\\alpha_k$", "leg_out=1, leg_ncol=4, leg_hlen=2")
if lims, ok := o.Lims["i,alp"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_i_f(x, y []float64, res []*State, sts [][]float64, last bool) {
if o.m == nil {
o.set_empty()
return
}
nr := len(res)
var y2 []float64
if o.nsurf > 1 {
y2 = make([]float64, nr)
}
for i := 0; i < nr; i++ {
ys := o.m.YieldFuncs(res[i])
y[i] = ys[0]
if o.nsurf > 1 {
y2[i] = ys[1]
}
x[i] = float64(i)
}
lbl := "f " + o.Lbl
plt.Plot(x, y, io.Sf("'r.', ls='-', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Clr, o.Mrk, lbl))
if o.nsurf > 1 {
lbl = "F " + o.Lbl
plt.Plot(x, y2, io.Sf("'b+', ls=':', lw=2, clip_on=0, color='%s', marker='%s', label=r'%s'", o.Clr, o.Mrk, lbl))
}
if last {
plt.Gll("$i$", "$f,\\;F$", "leg_out=1, leg_ncol=4, leg_hlen=2")
if lims, ok := o.Lims["i,f"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_ed_q(x, y []float64, res []*State, sts [][]float64, last bool) {
nr := len(res)
if len(sts) != nr {
return
}
k := nr - 1
for i := 0; i < nr; i++ {
x[i] = o.Ed[i] * 100.0
if o.QdivP {
y[i] = o.Q[i] / o.P[i]
} else {
y[i] = o.Q[i]
}
if o.Multq {
y[i] *= fun.Sign(o.W[i])
}
}
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
if last {
ylbl := "$q$"
if o.QdivP {
ylbl = "$q/p$"
}
plt.Gll("$\\varepsilon_d\\;[\\%]$", ylbl, "leg_out=1, leg_ncol=4, leg_hlen=1.5")
if lims, ok := o.Lims["ed,q"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_ed_ev(x, y []float64, res []*State, sts [][]float64, last bool) {
nr := len(sts)
k := nr - 1
for i := 0; i < nr; i++ {
x[i], y[i] = o.Ed[i]*100.0, o.Ev[i]*100.0
}
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
if last {
plt.Gll("$\\varepsilon_d\\;[\\%]$", "$\\varepsilon_v\\;[\\%]$", "leg_out=1, leg_ncol=4, leg_hlen=1.5")
if lims, ok := o.Lims["ed,ev"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_s3_s1(x, y []float64, res []*State, sts [][]float64, last bool) {
// stress path
nr := len(res)
k := nr - 1
x2 := make([]float64, nr)
var xmi, xma, ymi, yma float64
for i := 0; i < nr; i++ {
σ1, σ2, σ3, err := tsr.M_PrincValsNum(res[i].Sig)
if err != nil {
chk.Panic("computation of eigenvalues failed", err)
}
x[i], y[i] = -tsr.SQ2*σ3, -σ1
x2[i] = -tsr.SQ2 * σ2
if i == 0 {
xmi, xma = x[i], x[i]
ymi, yma = y[i], y[i]
} else {
xmi = min(min(xmi, x[i]), x2[i])
xma = max(max(xma, x[i]), x2[i])
ymi = min(ymi, y[i])
yma = max(yma, y[i])
}
}
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'$\\sigma_3$ %s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.Plot(x2, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'$\\sigma_2$ %s'", o.LsAlt, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
// yield surface
if o.WithYs && o.m != nil {
if o.UsePmin {
xmi = min(xmi, o.Pmin*tsr.SQ2)
ymi = min(ymi, o.Pmin)
}
if o.UsePmax {
xma = max(xma, o.Pmax*tsr.SQ2)
yma = max(yma, o.Pmax)
}
xmi, xma, ymi, yma = o.fix_range(0, xmi, xma, ymi, yma)
if o.S3s1Lims != nil {
xmi, xma, ymi, yma = o.S3s1Lims[0], o.S3s1Lims[1], o.S3s1Lims[2], o.S3s1Lims[3]
}
//io.Pforan("xmi,xma ymi,yma = %v,%v %v,%v\n", xmi,xma, ymi,yma)
dx := (xma - xmi) / float64(o.NptsSig-1)
dy := (yma - ymi) / float64(o.NptsSig-1)
xx := la.MatAlloc(o.NptsSig, o.NptsSig)
yy := la.MatAlloc(o.NptsSig, o.NptsSig)
zz := la.MatAlloc(o.NptsSig, o.NptsSig)
v := NewState(len(res[0].Sig), len(res[0].Alp), false, len(res[0].EpsE) > 0)
for k := 0; k < nr; k++ {
copy(v.Alp, res[k].Alp)
v.Dgam = res[k].Dgam
for i := 0; i < o.NptsSig; i++ {
for j := 0; j < o.NptsSig; j++ {
xx[i][j] = xmi + float64(i)*dx
yy[i][j] = ymi + float64(j)*dy
v.Sig[0], v.Sig[1], v.Sig[2] = -yy[i][j], -xx[i][j]/tsr.SQ2, -xx[i][j]/tsr.SQ2
ys := o.m.YieldFuncs(v)
zz[i][j] = ys[0]
}
}
plt.ContourSimple(xx, yy, zz, io.Sf("colors=['%s'], levels=[0], linestyles=['%s'], linewidths=[%g], clip_on=0", o.YsClr0, o.YsLs0, o.YsLw0)+o.ArgsYs)
}
}
// predictor-corrector
if len(o.PreCor) > 1 {
var σ3, σ1, σ3new, σ1new float64
for i := 1; i < len(o.PreCor); i++ {
σ1, _, σ3, _ = tsr.M_PrincValsNum(o.PreCor[i-1])
σ1new, _, σ3new, _ = tsr.M_PrincValsNum(o.PreCor[i])
if math.Abs(σ3new-σ3) > 1e-7 || math.Abs(σ1new-σ1) > 1e-7 {
plt.Arrow(-σ3*tsr.SQ2, -σ1, -σ3new*tsr.SQ2, -σ1new, io.Sf("sc=%d, fc='%s', ec='%s'", o.ArrWid, o.ClrPC, o.ClrPC))
}
}
}
// settings
if last {
plt.Equal()
plt.Gll("$-\\sqrt{2}\\sigma_3$", "$-\\sigma_1$", "leg=1, leg_out=1, leg_ncol=4, leg_hlen=2")
if lims, ok := o.Lims["s3,s1"]; ok {
plt.AxisLims(lims)
}
if lims, ok := o.Lims["s3,s1,ys"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_oct(x, y []float64, res []*State, sts [][]float64, last bool) {
// stress path
nr := len(res)
k := nr - 1
var σa, σb, xmi, xma, ymi, yma float64
for i := 0; i < nr; i++ {
σa, σb, _ = tsr.PQW2O(o.P[i], o.Q[i], o.W[i])
x[i], y[i] = σa, σb
o.maxR = max(o.maxR, math.Sqrt(σa*σa+σb*σb))
if i == 0 {
xmi, xma = x[i], x[i]
ymi, yma = y[i], y[i]
} else {
xmi = min(xmi, x[i])
xma = max(xma, x[i])
ymi = min(ymi, y[i])
yma = max(yma, y[i])
}
}
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
// fix range and max radius
xmi, xma, ymi, yma = o.fix_range(0, xmi, xma, ymi, yma)
rr := math.Sqrt((xma-xmi)*(xma-xmi) + (yma-ymi)*(yma-ymi))
if o.maxR < rr {
o.maxR = rr
}
if o.maxR < 1e-10 {
o.maxR = 1
}
if yma > -xmi {
xmi = -yma
}
if o.OctLims != nil {
xmi, xma, ymi, yma = o.OctLims[0], o.OctLims[1], o.OctLims[2], o.OctLims[3]
}
//xmi, xma, ymi, yma = -20000, 20000, -20000, 20000
// yield surface
var σcmax float64
if o.WithYs && o.m != nil {
//io.Pforan("xmi,xma ymi,yma = %v,%v %v,%v\n", xmi,xma, ymi,yma)
dx := (xma - xmi) / float64(o.NptsOct-1)
dy := (yma - ymi) / float64(o.NptsOct-1)
xx := la.MatAlloc(o.NptsOct, o.NptsOct)
yy := la.MatAlloc(o.NptsOct, o.NptsOct)
zz := la.MatAlloc(o.NptsOct, o.NptsOct)
var λ0, λ1, λ2, σc float64
v := NewState(len(res[0].Sig), len(res[0].Alp), false, len(res[0].EpsE) > 0)
for k := 0; k < nr; k++ {
copy(v.Alp, res[k].Alp)
v.Dgam = res[k].Dgam
σc = tsr.M_p(res[k].Sig) * tsr.SQ3
//σc = 30000
σcmax = max(σcmax, σc)
for i := 0; i < o.NptsOct; i++ {
for j := 0; j < o.NptsOct; j++ {
xx[i][j] = xmi + float64(i)*dx
yy[i][j] = ymi + float64(j)*dy
λ0, λ1, λ2 = tsr.O2L(xx[i][j], yy[i][j], σc)
v.Sig[0], v.Sig[1], v.Sig[2] = λ0, λ1, λ2
ys := o.m.YieldFuncs(v)
zz[i][j] = ys[0]
}
}
plt.ContourSimple(xx, yy, zz, io.Sf("colors=['%s'], levels=[0], linestyles=['%s'], linewidths=[%g], clip_on=0", o.YsClr0, o.YsLs0, o.YsLw0)+o.ArgsYs)
}
}
// predictor-corrector
if len(o.PreCor) > 1 {
var σa, σb, σanew, σbnew float64
for i := 1; i < len(o.PreCor); i++ {
σa, σb, _ = tsr.M_oct(o.PreCor[i-1])
σanew, σbnew, _ = tsr.M_oct(o.PreCor[i])
if math.Abs(σanew-σa) > 1e-7 || math.Abs(σbnew-σb) > 1e-7 {
//plt.Plot([]float64{σa,σanew}, []float64{σb,σbnew}, "'k+', ms=3, color='k'")
plt.Arrow(σa, σb, σanew, σbnew, io.Sf("sc=%d, fc='%s', ec='%s'", o.ArrWid, o.ClrPC, o.ClrPC))
}
o.maxR = max(o.maxR, math.Sqrt(σa*σa+σb*σb))
o.maxR = max(o.maxR, math.Sqrt(σanew*σanew+σbnew*σbnew))
}
}
// rosette and settings
if last {
tsr.PlotRefOct(o.Phi, σcmax, true)
tsr.PlotRosette(o.maxR, false, true, true, 6)
if o.OctAxOff {
plt.AxisOff()
}
plt.Gll("$\\sigma_a$", "$\\sigma_b$", "")
if lims, ok := o.Lims["oct"]; ok {
plt.AxisLims(lims)
}
if lims, ok := o.Lims["oct,ys"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_p_q(x, y []float64, res []*State, sts [][]float64, last bool) {
// stress path
nr := len(res)
k := nr - 1
var xmi, xma, ymi, yma float64
for i := 0; i < nr; i++ {
x[i], y[i] = o.P[i], o.Q[i]
if o.Multq {
mult := fun.Sign(o.W[i])
y[i] *= mult
}
if o.UseOct {
x[i] *= tsr.SQ3
y[i] *= tsr.SQ2by3
}
if i == 0 {
xmi, xma = x[i], x[i]
ymi, yma = y[i], y[i]
} else {
xmi = min(xmi, x[i])
xma = max(xma, x[i])
ymi = min(ymi, y[i])
yma = max(yma, y[i])
}
if o.SMPon {
x[i], y[i], _ = tsr.M_pq_smp(res[i].Sig, o.SMPa, o.SMPb, o.SMPβ, o.SMPϵ)
}
}
plt.Plot(x, y, io.Sf("'r.', ls='%s', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Ls, o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
// yield surface
if o.WithYs && o.m != nil {
mx, my := 1.0, 1.0
if o.UseOct {
mx, my = tsr.SQ3, tsr.SQ2by3
}
if o.UsePmin {
xmi = min(xmi, o.Pmin*mx)
}
if o.UsePmax {
xma = max(xma, o.Pmax*mx)
yma = max(yma, o.Pmax*my)
}
xmi, xma, ymi, yma = o.fix_range(xmi, xmi, xma, ymi, yma)
if o.PqLims != nil {
xmi, xma, ymi, yma = o.PqLims[0], o.PqLims[1], o.PqLims[2], o.PqLims[3]
}
//io.Pforan("xmi,xma ymi,yma = %v,%v %v,%v\n", xmi,xma, ymi,yma)
dx := (xma - xmi) / float64(o.NptsPq-1)
dy := (yma - ymi) / float64(o.NptsPq-1)
xx := la.MatAlloc(o.NptsPq, o.NptsPq)
yy := la.MatAlloc(o.NptsPq, o.NptsPq)
za := la.MatAlloc(o.NptsPq, o.NptsPq)
zb := la.MatAlloc(o.NptsPq, o.NptsPq)
var p, q, σa, σb, σc, λ0, λ1, λ2 float64
v := NewState(len(res[0].Sig), len(res[0].Alp), false, len(res[0].EpsE) > 0)
for k := 0; k < nr; k++ {
copy(v.Alp, res[k].Alp)
v.Dgam = res[k].Dgam
for i := 0; i < o.NptsPq; i++ {
for j := 0; j < o.NptsPq; j++ {
xx[i][j] = xmi + float64(i)*dx
yy[i][j] = ymi + float64(j)*dy
p, q = xx[i][j], yy[i][j]
if o.UseOct {
p /= tsr.SQ3
q /= tsr.SQ2by3
}
σa, σb, σc = tsr.PQW2O(p, q, o.W[k])
λ0, λ1, λ2 = tsr.O2L(σa, σb, σc)
v.Sig[0], v.Sig[1], v.Sig[2] = λ0, λ1, λ2
ys := o.m.YieldFuncs(v)
za[i][j] = ys[0]
if o.nsurf > 1 {
zb[i][j] = ys[1]
}
if o.SMPon {
xx[i][j], yy[i][j], _ = tsr.M_pq_smp(v.Sig, o.SMPa, o.SMPb, o.SMPβ, o.SMPϵ)
}
}
}
plt.ContourSimple(xx, yy, za, io.Sf("colors=['%s'], levels=[0], linestyles=['%s'], linewidths=[%g], clip_on=0", o.YsClr0, o.YsLs0, o.YsLw0)+o.ArgsYs)
if o.nsurf > 1 {
plt.ContourSimple(xx, yy, zb, io.Sf("colors=['%s'], levels=[0], linestyles=['%s'], linewidths=[%g], clip_on=0", o.YsClr1, o.YsLs1, o.YsLw1)+o.ArgsYs)
}
}
}
// predictor-corrector
if len(o.PreCor) > 1 {
var p, q, pnew, qnew float64
for i := 1; i < len(o.PreCor); i++ {
p = tsr.M_p(o.PreCor[i-1])
q = tsr.M_q(o.PreCor[i-1])
pnew = tsr.M_p(o.PreCor[i])
qnew = tsr.M_q(o.PreCor[i])
if o.UseOct {
p *= tsr.SQ3
pnew *= tsr.SQ3
q *= tsr.SQ2by3
qnew *= tsr.SQ2by3
}
if o.SMPon {
p, q, _ = tsr.M_pq_smp(o.PreCor[i-1], o.SMPa, o.SMPb, o.SMPβ, o.SMPϵ)
pnew, qnew, _ = tsr.M_pq_smp(o.PreCor[i], o.SMPa, o.SMPb, o.SMPβ, o.SMPϵ)
}
if math.Abs(pnew-p) > 1e-10 || math.Abs(qnew-q) > 1e-10 {
plt.Arrow(p, q, pnew, qnew, io.Sf("sc=%d, fc='%s', ec='%s'", o.ArrWid, o.ClrPC, o.ClrPC))
}
}
}
// settings
if last {
plt.Equal()
xl, yl := "$p_{cam}$", "$q_{cam}$"
if o.UseOct {
xl, yl = "$p_{oct}$", "$q_{oct}$"
}
if o.SMPon {
xl, yl = "$p_{smp}$", "$q_{smp}$"
}
if o.AxLblX != "" {
xl = o.AxLblX
}
if o.AxLblY != "" {
yl = o.AxLblY
}
plt.Gll(xl, yl, "leg_out=1, leg_ncol=4, leg_hlen=1.5")
if lims, ok := o.Lims["p,q"]; ok {
plt.AxisLims(lims)
}
if lims, ok := o.Lims["p,q,ys"]; ok {
plt.AxisLims(lims)
}
}
}
func (o *Plotter) Plot_p_ev(x, y []float64, res []*State, sts [][]float64, last bool) {
nr := len(res)
if len(sts) != nr {
return
}
k := nr - 1
var x0, x1 []float64
if !o.NoAlp {
x0, x1 = make([]float64, nr), make([]float64, nr)
}
withα := false
if o.LogP {
xmin := o.calc_x(o.P[0])
xmax := xmin
for i := 0; i < nr; i++ {
x[i], y[i] = o.calc_x(o.P[i]), o.Ev[i]*100.0
if !o.NoAlp && len(res[i].Alp) > 0 {
withα = true
x0[i] = o.calc_x(res[i].Alp[0])
if o.nsurf > 1 {
x1[i] = o.calc_x(res[i].Alp[1])
}
}
xmin = min(xmin, x[i])
xmax = max(xmax, x[i])
}
} else {
xmin := o.P[0]
xmax := xmin
for i := 0; i < nr; i++ {
x[i], y[i] = o.P[i], o.Ev[i]*100.0
if !o.NoAlp && len(res[i].Alp) > 0 {
withα = true
x0[i] = res[i].Alp[0]
if o.nsurf > 1 {
x1[i] = res[i].Alp[1]
}
}
xmin = min(xmin, x[i])
xmax = max(xmax, x[i])
}
}
if withα {
plt.Plot(x0, y, io.Sf("'r-', ls='--', lw=3, clip_on=0, color='grey', label=r'%s'", o.Lbl+" $\\alpha_0$"))
if o.nsurf > 1 {
plt.Plot(x1, y, io.Sf("'r-', ls=':', lw=3, clip_on=0, color='grey', label=r'%s'", o.Lbl+" $\\alpha_1$"))
}
}
plt.Plot(x, y, io.Sf("'r.', ls='-', clip_on=0, color='%s', marker='%s', label=r'%s'", o.Clr, o.Mrk, o.Lbl))
plt.PlotOne(x[0], y[0], io.Sf("'bo', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.SpMrk, o.SpMs))
plt.PlotOne(x[k], y[k], io.Sf("'bs', clip_on=0, color='%s', marker='%s', ms=%d", o.SpClr, o.EpMrk, o.EpMs))
if last {
xlbl := "$p$"
if o.LogP {
xlbl = "$\\log{[1+(p+p_t)/p_r]}$"
}
plt.Gll(xlbl, "$\\varepsilon_v\\;[\\%]$", "leg_out=1, leg_ncol=4, leg_hlen=2")
if lims, ok := o.Lims["p,ev"]; ok {
plt.AxisLims(lims)
}
}
}