From 15d576c4edd5968f6c1944f635d76258c1fda9f9 Mon Sep 17 00:00:00 2001 From: Jan H <Jan.Habscheid@web.de> Date: Fri, 1 Nov 2024 18:14:14 +0100 Subject: [PATCH] Figures variants --- .../Figures/Ternary/combined_oneColumn.pdf | Bin 0 -> 17965 bytes .../Ternary/combined_oneColumn_rescaled.pdf | Bin 0 -> 15974 bytes .../Figures/Ternary/combined_twoColumns.pdf | Bin 0 -> 17443 bytes ...combined_twoColumns_SeparatedFractions.pdf | Bin 0 -> 18795 bytes ...twoColumns_SeparatedFractions_rescaled.pdf | Bin 0 -> 15355 bytes .../Ternary/combined_twoColumns_rescaled.pdf | Bin 0 -> 14632 bytes examples/Figures/Ternary/p.pdf | Bin 8047 -> 8047 bytes examples/Figures/Ternary/p_rescaled.pdf | Bin 0 -> 7811 bytes examples/Figures/Ternary/phi.pdf | Bin 10752 -> 10752 bytes examples/Figures/Ternary/phi_rescaled.pdf | Bin 0 -> 9733 bytes examples/Figures/Ternary/y.pdf | Bin 12939 -> 12939 bytes examples/Figures/Ternary/y_rescaled.pdf | Bin 0 -> 12255 bytes examples/Visualizations/VisAll.ipynb | 817 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FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " [fig_.show() for fig_ in figs_ternary]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 354x354 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 354x354 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 354x354 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Testing\n", + "xlim = [0, 0.025]\n", + "figs_ternary = []\n", + "for property_, marker_, label_ in zip([phi_ternary, p_ternary], [marker_phi, marker_p], ['$\\\\varphi$ [-]', 'p [-]']):\n", + " fig = plt.figure(figsize=(3.54, 3.54)) # change dpi back to 600\n", + " plt.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + " plt.grid()\n", + " plt.xlabel('x [-]', fontsize=12)\n", + " plt.ylabel(label_, fontsize=12)\n", + " plt.tick_params(axis='both', labelsize=12)\n", + " plt.xlim(xlim)\n", + " # axs.legend(fontsize=labelsize, loc='upper right')\n", + " figs_ternary.append(fig)\n", + "\n", + "fig = plt.figure(figsize=(3.54, 3.54)) # change dpi back to 600\n", + "for property_, marker_, label_ in zip([y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " plt.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + " plt.grid()\n", + "plt.xlabel('x [-]', fontsize=12)\n", + "plt.ylabel('$y_\\\\alpha$[-]', fontsize=12)\n", + "plt.tick_params(axis='both', labelsize=12)\n", + "plt.xlim(xlim)\n", + "plt.legend(fontsize=12, loc='upper right')\n", + "figs_ternary.append(fig)\n", + "\n", + "[fig_.show() for fig_ in figs_ternary]\n", + "figs_ternary[0].savefig('../Figures/Ternary/phi_rescaled.pdf', bbox_inches='tight')\n", + "figs_ternary[1].savefig('../Figures/Ternary/p_rescaled.pdf', bbox_inches='tight')\n", + "figs_ternary[2].savefig('../Figures/Ternary/y_rescaled.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "KeysView(RcParams({'_internal.classic_mode': False,\n", + " 'agg.path.chunksize': 0,\n", + " 'animation.bitrate': -1,\n", + " 'animation.codec': 'h264',\n", + " 'animation.convert_args': ['-layers', 'OptimizePlus'],\n", + " 'animation.convert_path': 'convert',\n", + " 'animation.embed_limit': 20.0,\n", + " 'animation.ffmpeg_args': [],\n", + " 'animation.ffmpeg_path': 'ffmpeg',\n", + " 'animation.frame_format': 'png',\n", + " 'animation.html': 'none',\n", + " 'animation.writer': 'ffmpeg',\n", + " 'axes.autolimit_mode': 'data',\n", + " 'axes.axisbelow': 'line',\n", + " 'axes.edgecolor': 'black',\n", + " 'axes.facecolor': 'white',\n", + " 'axes.formatter.limits': [-5, 6],\n", + " 'axes.formatter.min_exponent': 0,\n", + " 'axes.formatter.offset_threshold': 4,\n", + " 'axes.formatter.use_locale': False,\n", + " 'axes.formatter.use_mathtext': False,\n", + " 'axes.formatter.useoffset': True,\n", + " 'axes.grid': False,\n", + " 'axes.grid.axis': 'both',\n", + " 'axes.grid.which': 'major',\n", + " 'axes.labelcolor': 'black',\n", + " 'axes.labelpad': 4.0,\n", + " 'axes.labelsize': 'medium',\n", + " 'axes.labelweight': 'normal',\n", + " 'axes.linewidth': 0.8,\n", + " 'axes.prop_cycle': cycler('color', ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728', '#9467bd', '#8c564b', '#e377c2', '#7f7f7f', '#bcbd22', '#17becf']),\n", + " 'axes.spines.bottom': True,\n", + " 'axes.spines.left': True,\n", + " 'axes.spines.right': True,\n", + " 'axes.spines.top': True,\n", + " 'axes.titlecolor': 'auto',\n", + " 'axes.titlelocation': 'center',\n", + " 'axes.titlepad': 6.0,\n", + " 'axes.titlesize': 'large',\n", + " 'axes.titleweight': 'normal',\n", + " 'axes.titley': None,\n", + " 'axes.unicode_minus': True,\n", + " 'axes.xmargin': 0.05,\n", + " 'axes.ymargin': 0.05,\n", + " 'axes.zmargin': 0.05,\n", + " 'axes3d.grid': True,\n", + " 'axes3d.xaxis.panecolor': (0.95, 0.95, 0.95, 0.5),\n", + " 'axes3d.yaxis.panecolor': (0.9, 0.9, 0.9, 0.5),\n", + " 'axes3d.zaxis.panecolor': (0.925, 0.925, 0.925, 0.5),\n", + " 'backend': 'module://matplotlib_inline.backend_inline',\n", + " 'backend_fallback': True,\n", + " 'boxplot.bootstrap': None,\n", + " 'boxplot.boxprops.color': 'black',\n", + " 'boxplot.boxprops.linestyle': '-',\n", + " 'boxplot.boxprops.linewidth': 1.0,\n", + " 'boxplot.capprops.color': 'black',\n", + " 'boxplot.capprops.linestyle': '-',\n", + " 'boxplot.capprops.linewidth': 1.0,\n", + " 'boxplot.flierprops.color': 'black',\n", + " 'boxplot.flierprops.linestyle': 'none',\n", + " 'boxplot.flierprops.linewidth': 1.0,\n", + " 'boxplot.flierprops.marker': 'o',\n", + " 'boxplot.flierprops.markeredgecolor': 'black',\n", + " 'boxplot.flierprops.markeredgewidth': 1.0,\n", + " 'boxplot.flierprops.markerfacecolor': 'none',\n", + " 'boxplot.flierprops.markersize': 6.0,\n", + " 'boxplot.meanline': False,\n", + " 'boxplot.meanprops.color': 'C2',\n", + " 'boxplot.meanprops.linestyle': '--',\n", + " 'boxplot.meanprops.linewidth': 1.0,\n", + " 'boxplot.meanprops.marker': '^',\n", + " 'boxplot.meanprops.markeredgecolor': 'C2',\n", + " 'boxplot.meanprops.markerfacecolor': 'C2',\n", + " 'boxplot.meanprops.markersize': 6.0,\n", + " 'boxplot.medianprops.color': 'C1',\n", + " 'boxplot.medianprops.linestyle': '-',\n", + " 'boxplot.medianprops.linewidth': 1.0,\n", + " 'boxplot.notch': False,\n", + " 'boxplot.patchartist': False,\n", + " 'boxplot.showbox': True,\n", + " 'boxplot.showcaps': True,\n", + " 'boxplot.showfliers': True,\n", + " 'boxplot.showmeans': False,\n", + " 'boxplot.vertical': True,\n", + " 'boxplot.whiskerprops.color': 'black',\n", + " 'boxplot.whiskerprops.linestyle': '-',\n", + " 'boxplot.whiskerprops.linewidth': 1.0,\n", + " 'boxplot.whiskers': 1.5,\n", + " 'contour.algorithm': 'mpl2014',\n", + " 'contour.corner_mask': True,\n", + " 'contour.linewidth': None,\n", + " 'contour.negative_linestyle': 'dashed',\n", + " 'date.autoformatter.day': '%Y-%m-%d',\n", + " 'date.autoformatter.hour': '%m-%d %H',\n", + " 'date.autoformatter.microsecond': '%M:%S.%f',\n", + " 'date.autoformatter.minute': '%d %H:%M',\n", + " 'date.autoformatter.month': '%Y-%m',\n", + " 'date.autoformatter.second': '%H:%M:%S',\n", + " 'date.autoformatter.year': '%Y',\n", + " 'date.converter': 'auto',\n", + " 'date.epoch': '1970-01-01T00:00:00',\n", + " 'date.interval_multiples': True,\n", + " 'docstring.hardcopy': False,\n", + " 'errorbar.capsize': 0.0,\n", + " 'figure.autolayout': False,\n", + " 'figure.constrained_layout.h_pad': 0.04167,\n", + " 'figure.constrained_layout.hspace': 0.02,\n", + " 'figure.constrained_layout.use': False,\n", + " 'figure.constrained_layout.w_pad': 0.04167,\n", + " 'figure.constrained_layout.wspace': 0.02,\n", + " 'figure.dpi': 100.0,\n", + " 'figure.edgecolor': 'white',\n", + " 'figure.facecolor': 'white',\n", + " 'figure.figsize': [6.4, 4.8],\n", + " 'figure.frameon': True,\n", + " 'figure.hooks': [],\n", + " 'figure.labelsize': 'large',\n", + " 'figure.labelweight': 'normal',\n", + " 'figure.max_open_warning': 20,\n", + " 'figure.raise_window': True,\n", + " 'figure.subplot.bottom': 0.11,\n", + " 'figure.subplot.hspace': 0.2,\n", + " 'figure.subplot.left': 0.125,\n", + " 'figure.subplot.right': 0.9,\n", + " 'figure.subplot.top': 0.88,\n", + " 'figure.subplot.wspace': 0.2,\n", + " 'figure.titlesize': 'large',\n", + " 'figure.titleweight': 'normal',\n", + " 'font.cursive': ['Apple Chancery',\n", + " 'Textile',\n", + " 'Zapf Chancery',\n", + " 'Sand',\n", + " 'Script MT',\n", + " 'Felipa',\n", + " 'Comic Neue',\n", + " 'Comic Sans MS',\n", + " 'cursive'],\n", + " 'font.family': ['sans-serif'],\n", + " 'font.fantasy': ['Chicago',\n", + " 'Charcoal',\n", + " 'Impact',\n", + " 'Western',\n", + " 'xkcd script',\n", + " 'fantasy'],\n", + " 'font.monospace': ['DejaVu Sans Mono',\n", + " 'Bitstream Vera Sans Mono',\n", + " 'Computer Modern Typewriter',\n", + " 'Andale Mono',\n", + " 'Nimbus Mono L',\n", + " 'Courier New',\n", + " 'Courier',\n", + " 'Fixed',\n", + " 'Terminal',\n", + " 'monospace'],\n", + " 'font.sans-serif': ['DejaVu Sans',\n", + " 'Bitstream Vera Sans',\n", + " 'Computer Modern Sans Serif',\n", + " 'Lucida Grande',\n", + " 'Verdana',\n", + " 'Geneva',\n", + " 'Lucid',\n", + " 'Arial',\n", + " 'Helvetica',\n", + " 'Avant Garde',\n", + " 'sans-serif'],\n", + " 'font.serif': ['DejaVu Serif',\n", + " 'Bitstream Vera Serif',\n", + " 'Computer Modern Roman',\n", + " 'New Century Schoolbook',\n", + " 'Century Schoolbook L',\n", + " 'Utopia',\n", + " 'ITC Bookman',\n", + " 'Bookman',\n", + " 'Nimbus Roman No9 L',\n", + " 'Times New Roman',\n", + " 'Times',\n", + " 'Palatino',\n", + " 'Charter',\n", + " 'serif'],\n", + " 'font.size': 10.0,\n", + " 'font.stretch': 'normal',\n", + " 'font.style': 'normal',\n", + " 'font.variant': 'normal',\n", + " 'font.weight': 'normal',\n", + " 'grid.alpha': 1.0,\n", + " 'grid.color': '#b0b0b0',\n", + " 'grid.linestyle': '-',\n", + " 'grid.linewidth': 0.8,\n", + " 'hatch.color': 'black',\n", + " 'hatch.linewidth': 1.0,\n", + " 'hist.bins': 10,\n", + " 'image.aspect': 'equal',\n", + " 'image.cmap': 'viridis',\n", + " 'image.composite_image': True,\n", + " 'image.interpolation': 'antialiased',\n", + " 'image.lut': 256,\n", + " 'image.origin': 'upper',\n", + " 'image.resample': True,\n", + " 'interactive': True,\n", + " 'keymap.back': ['left', 'c', 'backspace', 'MouseButton.BACK'],\n", + " 'keymap.copy': ['ctrl+c', 'cmd+c'],\n", + " 'keymap.forward': ['right', 'v', 'MouseButton.FORWARD'],\n", + " 'keymap.fullscreen': ['f', 'ctrl+f'],\n", + " 'keymap.grid': ['g'],\n", + " 'keymap.grid_minor': ['G'],\n", + " 'keymap.help': ['f1'],\n", + " 'keymap.home': ['h', 'r', 'home'],\n", + " 'keymap.pan': ['p'],\n", + " 'keymap.quit': ['ctrl+w', 'cmd+w', 'q'],\n", + " 'keymap.quit_all': [],\n", + " 'keymap.save': ['s', 'ctrl+s'],\n", + " 'keymap.xscale': ['k', 'L'],\n", + " 'keymap.yscale': ['l'],\n", + " 'keymap.zoom': ['o'],\n", + " 'legend.borderaxespad': 0.5,\n", + " 'legend.borderpad': 0.4,\n", + " 'legend.columnspacing': 2.0,\n", + " 'legend.edgecolor': '0.8',\n", + " 'legend.facecolor': 'inherit',\n", + " 'legend.fancybox': True,\n", + " 'legend.fontsize': 'medium',\n", + " 'legend.framealpha': 0.8,\n", + " 'legend.frameon': True,\n", + " 'legend.handleheight': 0.7,\n", + " 'legend.handlelength': 2.0,\n", + " 'legend.handletextpad': 0.8,\n", + " 'legend.labelcolor': 'None',\n", + " 'legend.labelspacing': 0.5,\n", + " 'legend.loc': 'best',\n", + " 'legend.markerscale': 1.0,\n", + " 'legend.numpoints': 1,\n", + " 'legend.scatterpoints': 1,\n", + " 'legend.shadow': False,\n", + " 'legend.title_fontsize': None,\n", + " 'lines.antialiased': True,\n", + " 'lines.color': 'C0',\n", + " 'lines.dash_capstyle': <CapStyle.butt: 'butt'>,\n", + " 'lines.dash_joinstyle': <JoinStyle.round: 'round'>,\n", + " 'lines.dashdot_pattern': [6.4, 1.6, 1.0, 1.6],\n", + " 'lines.dashed_pattern': [3.7, 1.6],\n", + " 'lines.dotted_pattern': [1.0, 1.65],\n", + " 'lines.linestyle': '-',\n", + " 'lines.linewidth': 1.5,\n", + " 'lines.marker': 'None',\n", + " 'lines.markeredgecolor': 'auto',\n", + " 'lines.markeredgewidth': 1.0,\n", + " 'lines.markerfacecolor': 'auto',\n", + " 'lines.markersize': 6.0,\n", + " 'lines.scale_dashes': True,\n", + " 'lines.solid_capstyle': <CapStyle.projecting: 'projecting'>,\n", + " 'lines.solid_joinstyle': <JoinStyle.round: 'round'>,\n", + " 'macosx.window_mode': 'system',\n", + " 'markers.fillstyle': 'full',\n", + " 'mathtext.bf': 'sans:bold',\n", + " 'mathtext.bfit': 'sans:italic:bold',\n", + " 'mathtext.cal': 'cursive',\n", + " 'mathtext.default': 'it',\n", + " 'mathtext.fallback': 'cm',\n", + " 'mathtext.fontset': 'dejavusans',\n", + " 'mathtext.it': 'sans:italic',\n", + " 'mathtext.rm': 'sans',\n", + " 'mathtext.sf': 'sans',\n", + " 'mathtext.tt': 'monospace',\n", + " 'patch.antialiased': True,\n", + " 'patch.edgecolor': 'black',\n", + " 'patch.facecolor': 'C0',\n", + " 'patch.force_edgecolor': False,\n", + " 'patch.linewidth': 1.0,\n", + " 'path.effects': [],\n", + " 'path.simplify': True,\n", + " 'path.simplify_threshold': 0.111111111111,\n", + " 'path.sketch': None,\n", + " 'path.snap': True,\n", + " 'pcolor.shading': 'auto',\n", + " 'pcolormesh.snap': True,\n", + " 'pdf.compression': 6,\n", + " 'pdf.fonttype': 42,\n", + " 'pdf.inheritcolor': False,\n", + " 'pdf.use14corefonts': False,\n", + " 'pgf.preamble': '',\n", + " 'pgf.rcfonts': True,\n", + " 'pgf.texsystem': 'xelatex',\n", + " 'polaraxes.grid': True,\n", + " 'ps.distiller.res': 6000,\n", + " 'ps.fonttype': 42,\n", + " 'ps.papersize': 'letter',\n", + " 'ps.useafm': False,\n", + " 'ps.usedistiller': None,\n", + " 'savefig.bbox': None,\n", + " 'savefig.directory': '~',\n", + " 'savefig.dpi': 'figure',\n", + " 'savefig.edgecolor': 'auto',\n", + " 'savefig.facecolor': 'auto',\n", + " 'savefig.format': 'png',\n", + " 'savefig.orientation': 'portrait',\n", + " 'savefig.pad_inches': 0.1,\n", + " 'savefig.transparent': False,\n", + " 'scatter.edgecolors': 'face',\n", + " 'scatter.marker': 'o',\n", + " 'svg.fonttype': 'path',\n", + " 'svg.hashsalt': None,\n", + " 'svg.image_inline': True,\n", + " 'text.antialiased': True,\n", + " 'text.color': 'black',\n", + " 'text.hinting': 'force_autohint',\n", + " 'text.hinting_factor': 8,\n", + " 'text.kerning_factor': 0,\n", + " 'text.latex.preamble': '',\n", + " 'text.parse_math': True,\n", + " 'text.usetex': False,\n", + " 'timezone': 'UTC',\n", + " 'tk.window_focus': False,\n", + " 'toolbar': 'toolbar2',\n", + " 'webagg.address': '127.0.0.1',\n", + " 'webagg.open_in_browser': True,\n", + " 'webagg.port': 8988,\n", + " 'webagg.port_retries': 50,\n", + " 'xaxis.labellocation': 'center',\n", + " 'xtick.alignment': 'center',\n", + " 'xtick.bottom': True,\n", + " 'xtick.color': 'black',\n", + " 'xtick.direction': 'out',\n", + " 'xtick.labelbottom': True,\n", + " 'xtick.labelcolor': 'inherit',\n", + " 'xtick.labelsize': 'medium',\n", + " 'xtick.labeltop': False,\n", + " 'xtick.major.bottom': True,\n", + " 'xtick.major.pad': 3.5,\n", + " 'xtick.major.size': 3.5,\n", + " 'xtick.major.top': True,\n", + " 'xtick.major.width': 0.8,\n", + " 'xtick.minor.bottom': True,\n", + " 'xtick.minor.ndivs': 'auto',\n", + " 'xtick.minor.pad': 3.4,\n", + " 'xtick.minor.size': 2.0,\n", + " 'xtick.minor.top': True,\n", + " 'xtick.minor.visible': False,\n", + " 'xtick.minor.width': 0.6,\n", + " 'xtick.top': False,\n", + " 'yaxis.labellocation': 'center',\n", + " 'ytick.alignment': 'center_baseline',\n", + " 'ytick.color': 'black',\n", + " 'ytick.direction': 'out',\n", + " 'ytick.labelcolor': 'inherit',\n", + " 'ytick.labelleft': True,\n", + " 'ytick.labelright': False,\n", + " 'ytick.labelsize': 'medium',\n", + " 'ytick.left': True,\n", + " 'ytick.major.left': True,\n", + " 'ytick.major.pad': 3.5,\n", + " 'ytick.major.right': True,\n", + " 'ytick.major.size': 3.5,\n", + " 'ytick.major.width': 0.8,\n", + " 'ytick.minor.left': True,\n", + " 'ytick.minor.ndivs': 'auto',\n", + " 'ytick.minor.pad': 3.4,\n", + " 'ytick.minor.right': True,\n", + " 'ytick.minor.size': 2.0,\n", + " 'ytick.minor.visible': False,\n", + " 'ytick.minor.width': 0.6,\n", + " 'ytick.right': False}))" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mpl.rcParams.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_671610/3495499799.py:14: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig.show()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 354x354 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# load packages\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# modify global setting\n", + "mpl.rcParams['pdf.fonttype'] = 42\n", + "mpl.rcParams['ps.fonttype'] = 42\n", + "mpl.rcParams['font.size'] = 50\n", + "# mpl.rcParams['font.family'] = 'Arial'\n", + "\n", + "fig = plt.figure(figsize=(3.54, 3.54))\n", + "plt.plot(x_ternary, phi_ternary, label='$\\\\varphi$ [-]')\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/3547350741.py:26: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " [fig_.show() for fig_ in figs_ternary]\n" ] }, @@ -104,6 +601,7 @@ } ], "source": [ + "# option A: Separate plots\n", "xlim = [0, 0.025]\n", "figs_ternary = []\n", "for property_, marker_, label_ in zip([phi_ternary, p_ternary], [marker_phi, marker_p], ['$\\\\varphi$ [-]', 'p [-]']):\n", @@ -134,6 +632,321 @@ "figs_ternary[2].savefig('../Figures/Ternary/y.pdf', bbox_inches='tight')" ] }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/2217071586.py:20: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 2000x800 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# option B: Combined plots, all in one row\n", + "xlim = [0, 0.025]\n", + "fig_ternary, axs = plt.subplots(1, 3, figsize=(20, 8))\n", + "axs[0].plot(x_ternary, phi_ternary, lw=linewidth, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "axs[1].plot(x_ternary, p_ternary, lw=linewidth, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for property_, marker_, label_ in zip([y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " axs[2].plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + "axs[2].legend(fontsize=labelsize, loc='upper right')\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_\\\\alpha$ [-]']):\n", + " axs[i].grid()\n", + " axs[i].set_xlabel('x [-]', fontsize=labelsize)\n", + " axs[i].set_ylabel(label_, fontsize=labelsize)\n", + " axs[i].tick_params(axis='both', labelsize=labelsize)\n", + " axs[i].set_xlim(xlim)\n", + "[axs[i].set_title(title_, fontsize=labelsize) for i, title_ in enumerate(['a', 'b', 'c'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_oneColumn.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/2048173785.py:19: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1062x354 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xlim = [0, 0.025]\n", + "fig_ternary, axs = plt.subplots(1, 3, figsize=(3.54*3, 3.54))\n", + "axs[0].plot(x_ternary, phi_ternary, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "axs[1].plot(x_ternary, p_ternary, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for property_, marker_, label_ in zip([y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " axs[2].plot(x_ternary, property_, linestyle=marker_, color=color_default, label=label_)\n", + "axs[2].legend(fontsize=12, loc='upper right')\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_\\\\alpha$ [-]']):\n", + " axs[i].grid()\n", + " axs[i].set_xlabel('x [-]', fontsize=12)\n", + " axs[i].set_ylabel(label_, fontsize=12)\n", + " axs[i].tick_params(axis='both', labelsize=12)\n", + " axs[i].set_xlim(xlim)\n", + "[axs[i].set_title(title_, fontsize=12) for i, title_ in enumerate(['a', 'b', 'c'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_oneColumn_rescaled.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/229366439.py:27: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 2000x1600 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# option C: Combined plots, use two columns\n", + "import matplotlib.gridspec as gridspec\n", + "fig_ternary = plt.figure(figsize=(20, 16))\n", + "gs = gridspec.GridSpec(2, 4, figure=fig)\n", + "ax1 = plt.subplot(gs[0, :2], )\n", + "ax2 = plt.subplot(gs[0, 2:])\n", + "ax3 = plt.subplot(gs[1, 1:3])\n", + "\n", + "ax1.plot(x_ternary, phi_ternary, lw=linewidth, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "ax2.plot(x_ternary, p_ternary, lw=linewidth, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for property_, marker_, label_ in zip([y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " ax3.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + "ax3.legend(fontsize=labelsize, loc='upper right')\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_\\\\alpha$ [-]']):\n", + " for ax in [ax1, ax2, ax3]:\n", + " ax.grid()\n", + " ax.set_xlabel('x [-]', fontsize=labelsize)\n", + " ax.set_ylabel(label_, fontsize=labelsize)\n", + " ax.tick_params(axis='both', labelsize=labelsize)\n", + " ax.set_xlim(xlim)\n", + "\n", + "[ax.set_title(title_, fontsize=labelsize) for ax, title_ in zip([ax1, ax2, ax3], ['a', 'b', 'c'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_twoColumns.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/1173935612.py:26: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 708x708 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.gridspec as gridspec\n", + "fig_ternary = plt.figure(figsize=(3.54*2, 3.54*2))\n", + "gs = gridspec.GridSpec(2, 4, figure=fig_ternary)\n", + "ax1 = plt.subplot(gs[0, :2], )\n", + "ax2 = plt.subplot(gs[0, 2:])\n", + "ax3 = plt.subplot(gs[1, 1:3])\n", + "\n", + "ax1.plot(x_ternary, phi_ternary, lw=linewidth, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "ax2.plot(x_ternary, p_ternary, lw=linewidth, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for property_, marker_, label_ in zip([y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " ax3.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + "ax3.legend(fontsize=labelsize, loc='upper right')\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_\\\\alpha$ [-]']):\n", + " for ax in [ax1, ax2, ax3]:\n", + " ax.grid()\n", + " ax.set_xlabel('x [-]', fontsize=12)\n", + " ax.set_ylabel(label_, fontsize=12)\n", + " ax.tick_params(axis='both', labelsize=12)\n", + " ax.set_xlim(xlim)\n", + "\n", + "[ax.set_title(title_, fontsize=12) for ax, title_ in zip([ax1, ax2, ax3], ['a', 'b', 'c'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_twoColumns_rescaled.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/4086478083.py:28: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 2000x1600 with 5 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# option d: Combined plots, use two columns, separate fraction plots\n", + "import matplotlib.gridspec as gridspec\n", + "fig_ternary = plt.figure(figsize=(20, 16))\n", + "gs = gridspec.GridSpec(2, 6, figure=fig_ternary)\n", + "ax1 = plt.subplot(gs[0, :3], )\n", + "ax2 = plt.subplot(gs[0, 3:])\n", + "ax3 = plt.subplot(gs[1, :2])\n", + "ax4 = plt.subplot(gs[1, 2:4])\n", + "ax5 = plt.subplot(gs[1, 4:])\n", + "\n", + "ax1.plot(x_ternary, phi_ternary, lw=linewidth, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "ax2.plot(x_ternary, p_ternary, lw=linewidth, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for ax, property_, marker_, label_ in zip([ax3, ax4, ax5], [y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " ax.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " for ax in [ax1, ax2, ax3, ax4, ax5]:\n", + " ax.grid()\n", + " ax.set_xlabel('x [-]', fontsize=labelsize)\n", + " ax.set_ylabel(label_, fontsize=labelsize)\n", + " ax.tick_params(axis='both', labelsize=labelsize)\n", + " ax.set_xlim(xlim)\n", + "\n", + "[ax.set_title(title_, fontsize=labelsize) for ax, title_ in zip([ax1, ax2, ax3, ax4, ax5], ['a', 'b', 'c', 'd', 'e'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_twoColumns_SeparatedFractions.pdf', bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_383423/1517945945.py:27: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig_ternary.show()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1062x708 with 5 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.gridspec as gridspec\n", + "fig_ternary = plt.figure(figsize=(3.54*3, 3.54*2))\n", + "gs = gridspec.GridSpec(2, 9, figure=fig_ternary)\n", + "ax1 = plt.subplot(gs[0, 1:4], )\n", + "ax2 = plt.subplot(gs[0, 5:8])\n", + "ax3 = plt.subplot(gs[1, :3])\n", + "ax4 = plt.subplot(gs[1, 3:6])\n", + "ax5 = plt.subplot(gs[1, 6:])\n", + "\n", + "ax1.plot(x_ternary, phi_ternary, lw=linewidth, linestyle=marker_phi, color=color_default, label='$\\\\varphi$ [-]')\n", + "ax2.plot(x_ternary, p_ternary, lw=linewidth, linestyle=marker_p, color=color_default, label='p [-]')\n", + "\n", + "for ax, property_, marker_, label_ in zip([ax3, ax4, ax5], [y_A_ternary, y_C_ternary, y_S_ternary], [marker_y_A, marker_y_C, markers_y_S], ['$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " ax.plot(x_ternary, property_, lw=linewidth, linestyle=marker_, color=color_default, label=label_)\n", + "\n", + "for i, label_ in enumerate(['$\\\\varphi$ [-]', 'p [-]', '$y_A$ [-]', '$y_C$ [-]', '$y_S$ [-]']):\n", + " for ax in [ax1, ax2, ax3, ax4, ax5]:\n", + " ax.grid()\n", + " ax.set_xlabel('x [-]', fontsize=12)\n", + " ax.set_ylabel(label_, fontsize=12)\n", + " ax.tick_params(axis='both', labelsize=12)\n", + " ax.set_xlim(xlim)\n", + "\n", + "[ax.set_title(title_, fontsize=12) for ax, title_ in zip([ax1, ax2, ax3, ax4, ax5], ['a', 'b', 'c', 'd', 'e'])]\n", + "\n", + "fig_ternary.tight_layout()\n", + "fig_ternary.show()\n", + "fig_ternary.savefig('../Figures/Ternary/combined_twoColumns_SeparatedFractions_rescaled.pdf', bbox_inches='tight')" + ] + }, { "cell_type": "markdown", "metadata": {}, -- GitLab