Ejemplo n.º 1
0
def DEC_evol(steps = [0,6,9,19]):
    """
    Draw evolution of DECs with respect to plastic deformation
    """
    from MP.mat import mech # mech is a module
    FlowCurve = mech.FlowCurve
    from mst_ex import use_intp_sfig, return_vf
    from rs import ResidualStress, filter_psi3
    model_rs = ResidualStress(
        mod_ext=None,fnmod_ig='igstrain_fbulk_ph1.out',
        fnmod_sf='igstrain_fbulk_ph1.out',i_ip=1)
    fc = FlowCurve(name='Weighted Average')
    fc.get_model(fn='STR_STR.OUT')
    fc.get_eqv()

    phi = model_rs.dat_model.phi
    nphi = model_rs.dat_model.nphi
    psi = model_rs.dat_model.psi
    sin2psi = sin2psi_opt(psi,1)
    DEC_raw = model_rs.dat_model.sf.copy()
    vf_raw, dum = return_vf()
    DEC_raw, psi, sin2psi, vf_raw = filter_psi3(
        sin2psi.copy(), [-0.5,0.5],
        DEC_raw, psi.copy(), sin2psi.copy(), vf_raw.copy())

    ## filter DEC_raw
    DEC_raw[DEC_raw==0]=np.nan
    evm = fc.epsilon_vm.copy()
    nstp = fc.nstp
    fig = plt.figure()
    # steps = [0,3,5,9]
    nstp = len(steps)
    gs=gridspec.GridSpec(
        nstp,nphi,
        wspace=0,hspace=0,left=0.25,right=0.8,top=0.8)

    axes=[]; axev=[]; axs=[]; axv=[]
    for i in range(len(steps)):
        axes.append([])
        axev.append([])
        for j in range(nphi):
            ax = fig.add_subplot(gs[i,j])
            av = ax.twinx()

            axs.append(ax);axes[i].append(ax); axv.append(av); axev[i].append(av)
            ax.locator_params(nbins=4)
            lab1 = r'$\mathbb{F}_{11}$'; lab2 = r'$\mathbb{F}_{22}$'
            ax.plot(sin2psi, DEC_raw[steps[i],0,j,:]*1e6,'k-',label=lab1)
            ax.plot(sin2psi, DEC_raw[steps[i],1,j,:]*1e6,'-',color='gray',label=lab2)
            av.plot(sin2psi, vf_raw[steps[i],j,:],color='gray',linewidth=3,alpha=0.7)
            ax.plot(0,0,'-',color='gray',linewidth=3,alpha=0.7,label='Vol. F')

            if i==len(steps)-1 and j==0: pass
            else:
                mpl_lib.rm_lab(ax,axis='x')
                mpl_lib.rm_lab(ax,axis='y')

            if i==len(steps)-1 and j==nphi-1: pass
            else:
                mpl_lib.rm_lab(av,axis='x')
                mpl_lib.rm_lab(av,axis='y')

    tune_xy_lim(axs)
    tune_x_lim(axs,axis='y')
    tune_xy_lim(axv)
    tune_x_lim(axv,axis='y')

    for i in range(len(steps)):#range(nstp):
        if i ==0: s = r'$\bar{E}^{VM}=%.2f$'%fc.epsilon_vm[steps[i]]
        else:    s = r'$%.2f$'%fc.epsilon_vm[steps[i]]
        axes[i][-1].annotate(
            s=s,
            verticalalignment='center',
            horizontalalignment='center',
            rotation=270,
            size=10,xy=(1.60,0.5),
            xycoords='axes fraction')

    for j in range(nphi):
        s = r'$\phi=%.1f^\circ{}$'%(phi[j]*180./np.pi)
        axes[0][j].annotate(
            s=s,
            horizontalalignment='center',
            size=10,xy=(0.5,1.2),
            xycoords='axes fraction')



    fancy_legend(axes[0][0],size=10,nscat=1,ncol=1,
                 bbox_to_anchor=(-0.1,1))
    deco(ax=axes[-1][0],ft=10,iopt=1,hkl='211',ipsi_opt=1)
    deco(ax=axev[-1][-1],ft=10,iopt=7,hkl='211',ipsi_opt=1)
    axev[-1][-1].grid('off');

    for i in range(len(axv)):
        axv[i].set_ylim(0.,0.3)
        axv[i].locator_params(nbins=4)

    fig.savefig("dec_evol.pdf")
    fig.savefig("dec_evol.png")
Ejemplo n.º 2
0
def DEC_intp(ss=[1,2,4],intps=[0,3,4],inds=[79,90,120]):
    """
    DEC interpolation comparison

    intps=0: NN (piecewise linear interpolation)
         =1: Assign nearest data
         =2: Cubic
         =3: Quadratic
         =4: Linear fit
         =5: Poly2
         =6: poly3
         =7: Place-holder for power law fit
         =8: zero
         =9: slinear
    inds=[70,40]
    """
    from MP.mat import mech # mech is a module
    FlowCurve = mech.FlowCurve
    from mst_ex import use_intp_sfig, return_vf
    from rs import ResidualStress
    model_rs = ResidualStress(
        mod_ext=None,fnmod_ig='igstrain_fbulk_ph1.out',
        fnmod_sf='igstrain_fbulk_ph1.out',i_ip=1)
    psi = model_rs.dat_model.psi
    sin2psi = sin2psi_opt(psi,1)

    DEC_raw = model_rs.dat_model.sf.copy()
    fc = FlowCurve(name='Weighted Average')
    fc.get_model(fn='STR_STR.OUT')
    fc.get_eqv()

    evm = fc.epsilon_vm.copy()
    fig = plt.figure()

    gs=gridspec.GridSpec(
        len(ss),len(intps),
        wspace=0,hspace=0,left=0.25,right=0.8,top=0.8)

    axes=[]
    ms=['o','x','+','d','>','t']
    for i in range(len(ss)):
        axes.append([])
        for j in range(len(intps)):
            ## interpolated DECs
            print i,j
            print ss[i],intps[j]
            # if i==1 and j==0:
            #     raise IOError
            _sf_, _ig_ = use_intp_sfig(
                ss[i],iopt=intps[j],
                iplot=False,iwgt=False)
            dum = _sf_.sf.swapaxes(-1,-2).swapaxes(-2,-3)
            DEC_intp = dum.copy()

            ax = fig.add_subplot(gs[i,j])
            ax.locator_params(nbins=4)
            axes[i].append(ax)

            for k in range(len(inds)):
                ind = inds[k]
                val_sin2psi = sin2psi[ind]
                val_psi     = psi[ind] * 180./np.pi
                lab1, lab2 = None, None
                if k==0:
                    lab1=r'Actual $\mathbb{F}_{ij}$'
                    lab2=r'Interpolated $\mathbb{F}^{\ I}_{ij}$'
                y_raw = DEC_raw[:,0,0,ind]*1e6
                ax.plot(evm, y_raw,'k-',
                        label=lab1)
                y_intp =  DEC_intp[:,0,0,ind]*1e12
                ax.plot(evm,y_intp,'k--',
                        label=lab2)
                ax.fill_between(evm,y_raw,y_intp,
                                facecolor='gray',alpha=0.5)
                ax.plot(
                    evm[::ss[i]],
                    DEC_raw[:,0,0,ind][::ss[i]]*1e6,
                    ms[k],mfc='None',mec='black',
                    label=r'$\psi=%2.0f^\circ{}$'%val_psi)

            if i==len(ss)-1 and j==0:
                pass
            else:
                mpl_lib.rm_lab(ax,axis='x')
                mpl_lib.rm_lab(ax,axis='y')

    deco(ax=axes[-1][0],ft=10,iopt=6,ij=[1,1])
    axes[-1][0].grid('off')
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes,axis='y')


    ## annotations
    for j in range(len(intps)):
        if j==0: s = 'Piecewise'
        if j==1: s = 'Quadratic'
        if j==2: s = 'Linear fit'
        if j==3: s = 'Power law fit'

        axes[0][j].annotate(
            s=s, horizontalalignment='center',
            size=10,xy=(0.5,1.2),
            xycoords='axes fraction')

    for i in range(len(ss)):
        s = r'$f^{\ \mathbb{F}}=^1/_{%i}$'%ss[i]
        axes[i][-1].annotate(
            s=s,
            verticalalignment='center',
            horizontalalignment='center',
            rotation=270,
            size=10,xy=(1.20,0.5),
            xycoords='axes fraction')


    fancy_legend(axes[0][0],size=10,nscat=1,ncol=1,
                 bbox_to_anchor=(-0.1,1))
    fig.savefig('dec_intp.pdf')
    fig.savefig('dec_intp.png')
    return model_rs
Ejemplo n.º 3
0
def tabular_figs02():
    fig=plt.figure()
    axes=[]
    for i in range(len(sigmas)):
        axes.append([])
        for j in range(len(nbins)):
            if sigmas[i]==0: iscatter=False
            else:            iscatter= True

            rst = main(
                ## main variables
                sigma=sigmas[i], psi_nbin=nbins[j],

                ## minor
                sin2psimx=0.5, iscatter=iscatter,
                iplot=False,dec_inv_frq=1,
                dec_interp=1)
            model_rs, flow_weight, flow_dsa = rst
            ax=fig.add_subplot(gs[i,j])
            ax.locator_params(nbins=4)
            axes[i].append(ax)

            # von mises
            lab1=r'$(\langle \sigma^c \rangle)^{VM}$'
            lab2=r'$(\sigma^\mathrm{RS})^{VM}$'
            ax.plot(flow_weight.epsilon_vm,
                    flow_weight.sigma_vm,'k-',label=lab1)
            ax.plot(flow_dsa.epsilon_vm,
                    flow_dsa.sigma_vm,'kx',label=lab2)

            if i==len(sigmas)-1 and j==0:
                #VM Deco
                axes_label.__vm__(ax=ax,ft=10)
            else:
                mpl_lib.rm_lab(ax,axis='x')
                mpl_lib.rm_lab(ax,axis='y')


    for iax in range(len(fig.axes)):
        fig.axes[iax].set_ylim(0,)
        fig.axes[iax].set_xlim(0,)
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes,axis='y')



    ## annotations
    for j in range(len(nbins)):
        if j==0: s=r'$N^\psi$=%i'%nbins[j]
        else:
            s = '%i'%nbins[j]
        axes[0][j].annotate(
            s=s,horizontalalignment='center',
            size=14,xy=(0.5,1.2),
            xycoords='axes fraction')

    for i in range(len(sigmas)):
        if i==0:
            s=r'$s^\mathrm{CSE}$=%i'%(
                sigmas[i]*(10**6))
        elif i==len(sigmas)-1:
              s=r'%i $\mu$ strain'%(
                  sigmas[i]*(10**6))
        else: s='%i'%(sigmas[i]*(10**6))

        axes[i][-1].annotate(
            s=s,
            verticalalignment='center',
            horizontalalignment='center',
            rotation=270,
            size=14,xy=(1.20,0.5),
            xycoords='axes fraction')

    fancy_legend(
        fig.axes[0],size=11,nscat=1,ncol=1,
        bbox_to_anchor=(-0.4,1))

    # vm
    fig.axes[len(sigmas)*len(nbins)-len(nbins)].\
        set_xticks(np.arange(0.,1.01,0.5))
    fig.savefig('tab2.pdf')
    fig.savefig('tab2.png')
    fig.clf()
Ejemplo n.º 4
0
def tabular_figs01():
    """
    Ehkl vs sin2psi plot

    y (sigmas)
    x (nbins)
    """
    fig=plt.figure()
    axes=[]
    for i in range(len(sigmas)):
        axes.append([])
        for j in range(len(nbins)):
            ax=fig.add_subplot(gs[i,j])
            axes[i].append(ax)
            ax.locator_params(nbins=4);
            if sigmas[i]==0: iscatter=False
            else:            iscatter= True
            rst = main(
                ## main variables
                sigma=sigmas[i], psi_nbin=nbins[j],

                ## minor
                sin2psimx=0.5, iscatter=iscatter,
                istep=2,iplot=False,dec_inv_frq=1,
                dec_interp=1)

            model_rs, sig11, sig22, dsa11,dsa22,\
                raw_psis,raw_vfs, raw_sfs,\
                full_Ei,dec_intp  = rst

            # raise IOError
            x = sin2psi_opt(model_rs.psis, 1)
            ax.plot(
                x, model_rs.tdat[0]*1e6,'k.',
                label=\
                r'$\tilde{ \langle\varepsilon^e \rangle}^G$')
            ax.plot(
                x, model_rs.Ei[0]*1e6,'kx',
                label=\
                r'$\mathbb{F}_{ij} \sigma^\mathrm{RS}_{ij}$')

            x = sin2psi_opt(raw_psis, 1)
            # ax.plot(x, full_Ei[0]*1e6,'k-') ## continuous Ei
            ## ax.plot(raw_psis, dec_intp[0][0]*1e6,'k--')

            ## True Ei? = F_ij * <sigma>^c_{ij}

            model_rs.psis = raw_psis.copy()
            model_rs.npsi = len(model_rs.psis)
            model_rs.cffs = raw_sfs.copy()
            ## plug the weight average stress
            model_rs.sigma=[sig11, sig22, 0, 0, 0, 0]
            model_rs.calc_Ei()
            ax.plot(
                x,model_rs.Ei[0]*1e6,'k-',
                label=r'$\mathbb{F}_{ij} \langle\sigma\rangle^c_{ij}$'
            )

            if i==len(sigmas)-1 and j==0:
                deco(ax=ax,iopt=0,hkl=None,ipsi_opt=1)
            else:
                mpl_lib.rm_lab(ax,axis='x')
                mpl_lib.rm_lab(ax,axis='y')

    for j in range(len(nbins)):
        if j==0: s=r'$N^\psi$=%i'%nbins[j]
        else:
            s = '%i'%nbins[j]
        axes[0][j].annotate(
            s=s,horizontalalignment='center',
            size=14,xy=(0.5,1.2),
            xycoords='axes fraction')

    for i in range(len(sigmas)):
        if i==0:
            s=r'$s^\mathrm{CSE}$=%i'%(
                sigmas[i]*(10**6))
        elif i==len(sigmas)-1:
              s=r'%i $\mu$ strain'%(
                  sigmas[i]*(10**6))
        else: s='%i'%(sigmas[i]*(10**6))

        axes[i][-1].annotate(
            s=s,
            verticalalignment='center',
            horizontalalignment='center',
            rotation=270,
            size=14,xy=(1.20,0.5),
            xycoords='axes fraction')

    for iax in range(len(fig.axes)):
        fig.axes[iax].set_ylim(-1500,)
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes,axis='y')

    # plt.annotate(s=r'$\varepsilon^\mathrm{CSE}$ Counting Statistics Error',
    #              size=20,rotation=90,
    #              verticalalignment='center',
    #              horizontalalignment='center',
    #              xy=(1.01,0.5),
    #              xycoords='figure fraction')

    # plt.annotate(s=r'Number of $\psi$',size=20,
    #              horizontalalignment='center',
    #              xy=(0.6,0.93),
    #              xycoords='figure fraction')


    fig.axes[len(sigmas)*len(nbins)-len(nbins)].\
        set_xticks(np.arange(-0.5,0.501,0.5))

    fancy_legend(
        fig.axes[0],size=11,nscat=1,ncol=1,
        bbox_to_anchor=(-0.4,1))
    fig.savefig('tab.pdf')
    fig.savefig('tab.png')
    fig.clf()
Ejemplo n.º 5
0
def DEC_evol(steps=[0, 6, 9, 19]):
    """
    Draw evolution of DECs with respect to plastic deformation
    """
    from MP.mat import mech  # mech is a module
    FlowCurve = mech.FlowCurve
    from mst_ex import use_intp_sfig, return_vf
    from rs import ResidualStress, filter_psi3
    model_rs = ResidualStress(mod_ext=None,
                              fnmod_ig='igstrain_fbulk_ph1.out',
                              fnmod_sf='igstrain_fbulk_ph1.out',
                              i_ip=1)
    fc = FlowCurve(name='Weighted Average')
    fc.get_model(fn='STR_STR.OUT')
    fc.get_eqv()

    phi = model_rs.dat_model.phi
    nphi = model_rs.dat_model.nphi
    psi = model_rs.dat_model.psi
    sin2psi = sin2psi_opt(psi, 1)
    DEC_raw = model_rs.dat_model.sf.copy()
    vf_raw, dum = return_vf()
    DEC_raw, psi, sin2psi, vf_raw = filter_psi3(sin2psi.copy(), [-0.5, 0.5],
                                                DEC_raw, psi.copy(),
                                                sin2psi.copy(), vf_raw.copy())

    ## filter DEC_raw
    DEC_raw[DEC_raw == 0] = np.nan
    evm = fc.epsilon_vm.copy()
    nstp = fc.nstp
    fig = plt.figure()
    # steps = [0,3,5,9]
    nstp = len(steps)
    gs = gridspec.GridSpec(nstp,
                           nphi,
                           wspace=0,
                           hspace=0,
                           left=0.25,
                           right=0.8,
                           top=0.8)

    axes = []
    axev = []
    axs = []
    axv = []
    for i in xrange(len(steps)):
        axes.append([])
        axev.append([])
        for j in xrange(nphi):
            ax = fig.add_subplot(gs[i, j])
            av = ax.twinx()

            axs.append(ax)
            axes[i].append(ax)
            axv.append(av)
            axev[i].append(av)
            ax.locator_params(nbins=4)
            lab1 = r'$\mathbb{F}_{11}$'
            lab2 = r'$\mathbb{F}_{22}$'
            ax.plot(sin2psi,
                    DEC_raw[steps[i], 0, j, :] * 1e6,
                    'k-',
                    label=lab1)
            ax.plot(sin2psi,
                    DEC_raw[steps[i], 1, j, :] * 1e6,
                    '-',
                    color='gray',
                    label=lab2)
            av.plot(sin2psi,
                    vf_raw[steps[i], j, :],
                    color='gray',
                    linewidth=3,
                    alpha=0.7)
            ax.plot(0,
                    0,
                    '-',
                    color='gray',
                    linewidth=3,
                    alpha=0.7,
                    label='Vol. F')

            if i == len(steps) - 1 and j == 0: pass
            else:
                mpl_lib.rm_lab(ax, axis='x')
                mpl_lib.rm_lab(ax, axis='y')

            if i == len(steps) - 1 and j == nphi - 1: pass
            else:
                mpl_lib.rm_lab(av, axis='x')
                mpl_lib.rm_lab(av, axis='y')

    tune_xy_lim(axs)
    tune_x_lim(axs, axis='y')
    tune_xy_lim(axv)
    tune_x_lim(axv, axis='y')

    for i in xrange(len(steps)):  #range(nstp):
        if i == 0: s = r'$\bar{E}^{VM}=%.2f$' % fc.epsilon_vm[steps[i]]
        else: s = r'$%.2f$' % fc.epsilon_vm[steps[i]]
        axes[i][-1].annotate(s=s,
                             verticalalignment='center',
                             horizontalalignment='center',
                             rotation=270,
                             size=10,
                             xy=(1.60, 0.5),
                             xycoords='axes fraction')

    for j in xrange(nphi):
        s = r'$\phi=%.1f^\circ{}$' % (phi[j] * 180. / np.pi)
        axes[0][j].annotate(s=s,
                            horizontalalignment='center',
                            size=10,
                            xy=(0.5, 1.2),
                            xycoords='axes fraction')

    fancy_legend(axes[0][0],
                 size=10,
                 nscat=1,
                 ncol=1,
                 bbox_to_anchor=(-0.1, 1))
    deco(ax=axes[-1][0], ft=10, iopt=1, hkl='211', ipsi_opt=1)
    deco(ax=axev[-1][-1], ft=10, iopt=7, hkl='211', ipsi_opt=1)
    axev[-1][-1].grid('off')

    for i in xrange(len(axv)):
        axv[i].set_ylim(0., 0.3)
        axv[i].locator_params(nbins=4)

    fig.savefig("dec_evol.pdf")
    fig.savefig("dec_evol.png")
Ejemplo n.º 6
0
def tabular_figs02():
    fig = plt.figure()
    axes = []
    for i in xrange(len(sigmas)):
        axes.append([])
        for j in xrange(len(nbins)):
            if sigmas[i] == 0: iscatter = False
            else: iscatter = True

            rst = main(
                ## main variables
                sigma=sigmas[i],
                psi_nbin=nbins[j],

                ## minor
                sin2psimx=0.5,
                iscatter=iscatter,
                iplot=False,
                dec_inv_frq=1,
                dec_interp=1)
            model_rs, flow_weight, flow_dsa = rst
            ax = fig.add_subplot(gs[i, j])
            ax.locator_params(nbins=4)
            axes[i].append(ax)

            # von mises
            lab1 = r'$(\langle \sigma^c \rangle)^{VM}$'
            lab2 = r'$(\sigma^\mathrm{RS})^{VM}$'
            ax.plot(flow_weight.epsilon_vm,
                    flow_weight.sigma_vm,
                    'k-',
                    label=lab1)
            ax.plot(flow_dsa.epsilon_vm, flow_dsa.sigma_vm, 'kx', label=lab2)

            if i == len(sigmas) - 1 and j == 0:
                #VM Deco
                axes_label.__vm__(ax=ax, ft=10)
            else:
                mpl_lib.rm_lab(ax, axis='x')
                mpl_lib.rm_lab(ax, axis='y')

    for iax in xrange(len(fig.axes)):
        fig.axes[iax].set_ylim(0, )
        fig.axes[iax].set_xlim(0, )
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes, axis='y')

    ## annotations
    for j in xrange(len(nbins)):
        if j == 0: s = r'$N^\psi$=%i' % nbins[j]
        else:
            s = '%i' % nbins[j]
        axes[0][j].annotate(s=s,
                            horizontalalignment='center',
                            size=14,
                            xy=(0.5, 1.2),
                            xycoords='axes fraction')

    for i in xrange(len(sigmas)):
        if i == 0:
            s = r'$s^\mathrm{CSE}$=%i' % (sigmas[i] * (10**6))
        elif i == len(sigmas) - 1:
            s = r'%i $\mu$ strain' % (sigmas[i] * (10**6))
        else:
            s = '%i' % (sigmas[i] * (10**6))

        axes[i][-1].annotate(s=s,
                             verticalalignment='center',
                             horizontalalignment='center',
                             rotation=270,
                             size=14,
                             xy=(1.20, 0.5),
                             xycoords='axes fraction')

    fancy_legend(fig.axes[0],
                 size=11,
                 nscat=1,
                 ncol=1,
                 bbox_to_anchor=(-0.4, 1))

    # vm
    fig.axes[len(sigmas)*len(nbins)-len(nbins)].\
        set_xticks(np.arange(0.,1.01,0.5))
    fig.savefig('tab2.pdf')
    fig.savefig('tab2.png')
    fig.clf()
Ejemplo n.º 7
0
def DEC_intp(ss=[1, 2, 4], intps=[0, 3, 4], inds=[79, 90, 120]):
    """
    DEC interpolation comparison

    intps=0: NN (piecewise linear interpolation)
         =1: Assign nearest data
         =2: Cubic
         =3: Quadratic
         =4: Linear fit
         =5: Poly2
         =6: poly3
         =7: Place-holder for power law fit
         =8: zero
         =9: slinear
    inds=[70,40]
    """
    from MP.mat import mech  # mech is a module
    FlowCurve = mech.FlowCurve
    from mst_ex import use_intp_sfig, return_vf
    from rs import ResidualStress
    model_rs = ResidualStress(mod_ext=None,
                              fnmod_ig='igstrain_fbulk_ph1.out',
                              fnmod_sf='igstrain_fbulk_ph1.out',
                              i_ip=1)
    psi = model_rs.dat_model.psi
    sin2psi = sin2psi_opt(psi, 1)

    DEC_raw = model_rs.dat_model.sf.copy()
    fc = FlowCurve(name='Weighted Average')
    fc.get_model(fn='STR_STR.OUT')
    fc.get_eqv()

    evm = fc.epsilon_vm.copy()
    fig = plt.figure()

    gs = gridspec.GridSpec(len(ss),
                           len(intps),
                           wspace=0,
                           hspace=0,
                           left=0.25,
                           right=0.8,
                           top=0.8)

    axes = []
    ms = ['o', 'x', '+', 'd', '>', 't']
    for i in xrange(len(ss)):
        axes.append([])
        for j in xrange(len(intps)):
            ## interpolated DECs
            print i, j
            print ss[i], intps[j]
            # if i==1 and j==0:
            #     raise IOError
            _sf_, _ig_ = use_intp_sfig(ss[i],
                                       iopt=intps[j],
                                       iplot=False,
                                       iwgt=False)
            dum = _sf_.sf.swapaxes(-1, -2).swapaxes(-2, -3)
            DEC_intp = dum.copy()

            ax = fig.add_subplot(gs[i, j])
            ax.locator_params(nbins=4)
            axes[i].append(ax)

            for k in xrange(len(inds)):
                ind = inds[k]
                val_sin2psi = sin2psi[ind]
                val_psi = psi[ind] * 180. / np.pi
                lab1, lab2 = None, None
                if k == 0:
                    lab1 = r'Actual $\mathbb{F}_{ij}$'
                    lab2 = r'Interpolated $\mathbb{F}^{\ I}_{ij}$'
                y_raw = DEC_raw[:, 0, 0, ind] * 1e6
                ax.plot(evm, y_raw, 'k-', label=lab1)
                y_intp = DEC_intp[:, 0, 0, ind] * 1e12
                ax.plot(evm, y_intp, 'k--', label=lab2)
                ax.fill_between(evm,
                                y_raw,
                                y_intp,
                                facecolor='gray',
                                alpha=0.5)
                ax.plot(evm[::ss[i]],
                        DEC_raw[:, 0, 0, ind][::ss[i]] * 1e6,
                        ms[k],
                        mfc='None',
                        mec='black',
                        label=r'$\psi=%2.0f^\circ{}$' % val_psi)

            if i == len(ss) - 1 and j == 0:
                pass
            else:
                mpl_lib.rm_lab(ax, axis='x')
                mpl_lib.rm_lab(ax, axis='y')

    deco(ax=axes[-1][0], ft=10, iopt=6, ij=[1, 1])
    axes[-1][0].grid('off')
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes, axis='y')

    ## annotations
    for j in xrange(len(intps)):
        if j == 0: s = 'Piecewise'
        if j == 1: s = 'Quadratic'
        if j == 2: s = 'Linear fit'
        if j == 3: s = 'Power law fit'

        axes[0][j].annotate(s=s,
                            horizontalalignment='center',
                            size=10,
                            xy=(0.5, 1.2),
                            xycoords='axes fraction')

    for i in xrange(len(ss)):
        s = r'$f^{\ \mathbb{F}}=^1/_{%i}$' % ss[i]
        axes[i][-1].annotate(s=s,
                             verticalalignment='center',
                             horizontalalignment='center',
                             rotation=270,
                             size=10,
                             xy=(1.20, 0.5),
                             xycoords='axes fraction')

    fancy_legend(axes[0][0],
                 size=10,
                 nscat=1,
                 ncol=1,
                 bbox_to_anchor=(-0.1, 1))
    fig.savefig('dec_intp.pdf')
    fig.savefig('dec_intp.png')
    return model_rs
Ejemplo n.º 8
0
def tabular_figs01():
    """
    Ehkl vs sin2psi plot

    y (sigmas)
    x (nbins)
    """
    fig = plt.figure()
    axes = []
    for i in xrange(len(sigmas)):
        axes.append([])
        for j in xrange(len(nbins)):
            ax = fig.add_subplot(gs[i, j])
            axes[i].append(ax)
            ax.locator_params(nbins=4)
            if sigmas[i] == 0: iscatter = False
            else: iscatter = True
            rst = main(
                ## main variables
                sigma=sigmas[i],
                psi_nbin=nbins[j],

                ## minor
                sin2psimx=0.5,
                iscatter=iscatter,
                istep=2,
                iplot=False,
                dec_inv_frq=1,
                dec_interp=1)

            model_rs, sig11, sig22, dsa11,dsa22,\
                raw_psis,raw_vfs, raw_sfs,\
                full_Ei,dec_intp  = rst

            # raise IOError
            x = sin2psi_opt(model_rs.psis, 1)
            ax.plot(
                x, model_rs.tdat[0]*1e6,'k.',
                label=\
                r'$\tilde{ \langle\varepsilon^e \rangle}^G$')
            ax.plot(
                x, model_rs.Ei[0]*1e6,'kx',
                label=\
                r'$\mathbb{F}_{ij} \sigma^\mathrm{RS}_{ij}$')

            x = sin2psi_opt(raw_psis, 1)
            # ax.plot(x, full_Ei[0]*1e6,'k-') ## continuous Ei
            ## ax.plot(raw_psis, dec_intp[0][0]*1e6,'k--')

            ## True Ei? = F_ij * <sigma>^c_{ij}

            model_rs.psis = raw_psis.copy()
            model_rs.npsi = len(model_rs.psis)
            model_rs.cffs = raw_sfs.copy()
            ## plug the weight average stress
            model_rs.sigma = [sig11, sig22, 0, 0, 0, 0]
            model_rs.calc_Ei()
            ax.plot(x,
                    model_rs.Ei[0] * 1e6,
                    'k-',
                    label=r'$\mathbb{F}_{ij} \langle\sigma\rangle^c_{ij}$')

            if i == len(sigmas) - 1 and j == 0:
                deco(ax=ax, iopt=0, hkl=None, ipsi_opt=1)
            else:
                mpl_lib.rm_lab(ax, axis='x')
                mpl_lib.rm_lab(ax, axis='y')

    for j in xrange(len(nbins)):
        if j == 0: s = r'$N^\psi$=%i' % nbins[j]
        else:
            s = '%i' % nbins[j]
        axes[0][j].annotate(s=s,
                            horizontalalignment='center',
                            size=14,
                            xy=(0.5, 1.2),
                            xycoords='axes fraction')

    for i in xrange(len(sigmas)):
        if i == 0:
            s = r'$s^\mathrm{CSE}$=%i' % (sigmas[i] * (10**6))
        elif i == len(sigmas) - 1:
            s = r'%i $\mu$ strain' % (sigmas[i] * (10**6))
        else:
            s = '%i' % (sigmas[i] * (10**6))

        axes[i][-1].annotate(s=s,
                             verticalalignment='center',
                             horizontalalignment='center',
                             rotation=270,
                             size=14,
                             xy=(1.20, 0.5),
                             xycoords='axes fraction')

    for iax in xrange(len(fig.axes)):
        fig.axes[iax].set_ylim(-1500, )
    tune_xy_lim(fig.axes)
    tune_x_lim(fig.axes, axis='y')

    # plt.annotate(s=r'$\varepsilon^\mathrm{CSE}$ Counting Statistics Error',
    #              size=20,rotation=90,
    #              verticalalignment='center',
    #              horizontalalignment='center',
    #              xy=(1.01,0.5),
    #              xycoords='figure fraction')

    # plt.annotate(s=r'Number of $\psi$',size=20,
    #              horizontalalignment='center',
    #              xy=(0.6,0.93),
    #              xycoords='figure fraction')


    fig.axes[len(sigmas)*len(nbins)-len(nbins)].\
        set_xticks(np.arange(-0.5,0.501,0.5))

    fancy_legend(fig.axes[0],
                 size=11,
                 nscat=1,
                 ncol=1,
                 bbox_to_anchor=(-0.4, 1))
    fig.savefig('tab.pdf')
    fig.savefig('tab.png')
    fig.clf()