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"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing a DBM and a conditional GAN on an artificial dataset of simulated gene expression and SNP data\n",
"\n",
"> The following example is based on the Bachelor thesis *Sampling from conditional distributions with GANs* of Frederic Boesel (2019, University of Freiburg).\n",
"\n",
"We want to compare the performance of conditional sampling in deep Boltzmann machines (DBMs) and conditional generative adversarial networks (CGANs) on a simulated example data set, which consists of artificial binary SNP and gene expression data. The gene expression and SNP data is correlated with a certain pattern. The goal for both models will be to generate new gene expression data based on given SNP data. \n",
"\n",
"## Simulation scenario\n",
"\n",
"At first we simulate data using the following function. It simulates two linked data sets, one containing SNPs, and the other gene expression data. The data sets are generated as two matrices, with the samples in the columns and the variables in the rows.\n",
"\n",
"The variables in the SNP data set simulate binary SNP data (e.g. homozygote SNPs) and the variables in the gene expression data set binary gene expression data (e. g. high expression vs. low expression).\n",
"The number of variables in the SNP data set is specified by `nsnpvars`, the number of variables in the gene expression data set is given by `ngepvars`.\n",
"In one quarter of the samples, the SNPs are absent with high probability (p = `1- setsnpnoiselevel` for each independent SNP to be present), in one quarter they are present with a high probability (p = `setsnpnoiselevel`) and in the rest they are randomly distributed with the `noiselevel`.\n",
"The expression of the genes 11-50 is also randomly distributed with probability `noiselevel`. Gene expression values 1 - 10, on the other hand, depend on the SNP data: The gene expression level of genes 1 - 10 is high (= 1) with probability `gepactivationprob` if the corresponding SNP is present.\n",
"\n",
"The next steps show how the data is generated and visualize it."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"simulate_binary_snpgepdata (generic function with 1 method)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function simulate_binary_snpgepdata(;\n",
" nsamples::Int = 300,\n",
" nsnpvars::Int = 10,\n",
" ngepvars::Int = 50,\n",
" setsnpnoiselevel::Float64 = 0.05,\n",
" noiselevel::Float64 = 0.15,\n",
" gepactivationprob::Float64 = 0.7,\n",
" nrandomsamples::Int = 150)\n",
"\n",
" sample_bernoulli!(x, p) = map!(xi -> Float32(rand(Float32) < p), x, x)\n",
"\n",
" # simulate SNPs\n",
" snps = zeros(Float32, nsnpvars, nsamples)\n",
" # first quarter noisy 0s\n",
" firstquarterofsnps = view(snps, 1:nsnpvars, 1:div(nsamples, 4))\n",
" sample_bernoulli!(firstquarterofsnps, setsnpnoiselevel)\n",
" # second quarter noisy 1s\n",
" secondquarterofsnps = view(snps, 1:nsnpvars, ((div(nsamples, 4) + 1):div(nsamples, 2)))\n",
" sample_bernoulli!(secondquarterofsnps, 1 - setsnpnoiselevel)\n",
" # second half only noise\n",
" secondhalfofsnps = view(snps, 1:nsnpvars, (div(nsamples, 2) + 1):nsamples)\n",
" sample_bernoulli!(secondhalfofsnps, noiselevel)\n",
"\n",
" # simulate gene expression\n",
" geps = zeros(Float32, ngepvars, nsamples)\n",
" # Uncorrelated gene expressions are filled with noise\n",
" sample_bernoulli!(geps, noiselevel)\n",
" # gene expression for the first 10 genes depends on the SNPs\n",
" # (high gene expression has a higher probability if the corresponding SNP is present)\n",
" activated = (snps[1:nsnpvars, 1:(nsamples - nrandomsamples)] .== 1)\n",
" activatedgeps = view(view(geps, 1:nsnpvars, 1:(nsamples - nrandomsamples)), activated)\n",
" sample_bernoulli!(activatedgeps, gepactivationprob)\n",
" notactivatedgeps = view(view(geps, 1:nsnpvars, 1:(nsamples - nrandomsamples)), .!activated)\n",
" sample_bernoulli!(notactivatedgeps, 1 - gepactivationprob)\n",
"\n",
" snps, geps\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Float32[0.0 0.0 … 0.0 0.0; 0.0 0.0 … 0.0 0.0; … ; 0.0 0.0 … 0.0 0.0; 0.0 0.0 … 0.0 0.0], Float32[1.0 0.0 … 1.0 0.0; 0.0 1.0 … 0.0 0.0; … ; 0.0 1.0 … 0.0 0.0; 0.0 1.0 … 1.0 0.0])"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Random\n",
"Random.seed!(1);\n",
"snps, geps = simulate_binary_snpgepdata(nsamples = 300, nrandomsamples = 150)\n",
"test_snps, test_geps = simulate_binary_snpgepdata(nsamples = 200, nrandomsamples = 100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will use the following function for having a nice view of the data sets:"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"binspy (generic function with 1 method)"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using SparseArrays\n",
"using Gadfly\n",
"function binspy(M::AbstractMatrix) # code adapted from Gadfly.spy()\n",
" is, js, values = findnz(sparse(M))\n",
" n,m = size(M)\n",
" Gadfly.plot(x=js, y=is, color=values,\n",
" Coord.cartesian(yflip=true, fixed=true, xmin=0.5, xmax=m+.5, ymin=0.5, ymax=n+.5),\n",
" Geom.rectbin,\n",
" Scale.color_discrete_manual(\"black\"),\n",
" Guide.xlabel(\"\"), Guide.ylabel(\"\"),\n",
" Theme(key_position = :none,\n",
" grid_line_width=0mm))\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The simulated SNP test dataset:"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
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" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-29db9873\");\n",
"fig.select(\"#img-29db9873-4\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-29db9873-7\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-29db9873-7\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-29db9873-118\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-29db9873-118\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-29db9873-913\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"binspy(test_snps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The simulated test gene expression data:"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
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"<svg xmlns=\"http://www.w3.org/2000/svg\"\n",
" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
" xmlns:gadfly=\"http://www.gadflyjl.org/ns\"\n",
" version=\"1.2\"\n",
" width=\"141.42mm\" height=\"100mm\" viewBox=\"0 0 141.42 100\"\n",
" stroke=\"none\"\n",
" fill=\"#000000\"\n",
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">\n",
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" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
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" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-d9298e8d\");\n",
"fig.select(\"#img-d9298e8d-4\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-d9298e8d-7\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-d9298e8d-7\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-d9298e8d-143\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-d9298e8d-143\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-d9298e8d-2112\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"binspy(test_geps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The conditional GAN\n",
"\n",
"### Training the conditional GAN on the data\n",
"\n",
"Now we have the simulated data and can train a CGAN on it.\n",
"\n",
"We use the Julia machine learning package [`Flux`](https://github.com/FluxML/Flux.jl) for fitting the model. The architecture can be specified via a chain of neural network layers there. The CGAN consists of two separately trained networks, the `generator`, and the `discriminator`. For more information about the model, see [Mirza and Isondero, *Conditional Generative Adversarial Nets* (2014)](https://arxiv.org/pdf/1411.1784.pdf).\n",
"\n",
"In the implementation below, we weakened the discriminator by adding some noise to its loss function. For our purpose, the SNP data is used as labels (`y`) for the gene expression data (`x`)."
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"struct ConditionalGAN\n",
" discriminator\n",
" generator\n",
" nnoisevars::Int\n",
" discmonitor::Vector{Float32}\n",
" genmonitor::Vector{Float32}\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"using Flux # version 0.8\n",
"using Statistics"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"fitcgan (generic function with 1 method)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function fitcgan(x::AbstractMatrix{Float32}, y::AbstractMatrix{Float32};\n",
" epochs::Int = 100,\n",
" nnoisevars::Int = 10,\n",
" batchsize::Int = 5,\n",
" optimizer = ADAM(0.001),\n",
" monitoring::Bool = true)\n",
"\n",
" discmonitor = monitoring ? Vector{Float32}(undef, epochs) : Vector{Float32}()\n",
" genmonitor = monitoring ? Vector{Float32}(undef, epochs) : Vector{Float32}()\n",
"\n",
" nyvars = size(y, 1)\n",
" nxvars, nsamples = size(x)\n",
" nyzvars = nyvars + nnoisevars\n",
" nxyvars = nxvars + nyvars\n",
"\n",
" generator = Chain(\n",
" Dense(nyzvars, nyzvars, NNlib.leakyrelu),\n",
" Dense(nyzvars, nxvars, NNlib.σ))\n",
"\n",
" discriminator = Chain(\n",
" Dense(nxyvars, nxyvars, NNlib.leakyrelu),\n",
" Dense(nxyvars, 40),\n",
" Dense(40, 20, NNlib.leakyrelu),\n",
" Dense(20, 1, NNlib.σ))\n",
"\n",
" untracked(m) = Flux.mapleaves(Flux.Tracker.data, m)\n",
" generator_untracked = untracked(generator)\n",
" discriminator_untracked = untracked(discriminator)\n",
"\n",
" disclosses = 0.0f0\n",
" genlosses = 0.0f0\n",
"\n",
" function discloss(xy, zy, y)\n",
" addnoise = 2 .* randn(Float32, size(Tracker.data(xy)))\n",
" ret = - 0.5f0 * (mean(log.(discriminator(xy + addnoise) .+ eps(Float32))) +\n",
" mean(log.(1 .- discriminator(vcat(generator_untracked(zy),y) + addnoise) \n",
" .+ eps(Float32))))\n",
" disclosses += Tracker.data(ret) / size(y, 2)\n",
" ret\n",
" end\n",
"\n",
" function genloss(zy, y)\n",
" ret = - mean(log.(discriminator_untracked(vcat(generator(zy), y))) .+ eps(Float32))\n",
" genlosses += Tracker.data(ret) / size(y, 2)\n",
" ret\n",
" end\n",
"\n",
" batchmasks = Iterators.partition(shuffle(1:nsamples), batchsize)\n",
"\n",
" for epoch = 1:epochs\n",
" for batchmask in batchmasks\n",
" xbatch = x[:, batchmask]\n",
" ybatch = y[:, batchmask]\n",
"\n",
" actualbatchsize = size(xbatch, 2)\n",
" zy = vcat(randn(Float32, nnoisevars, actualbatchsize), ybatch)\n",
" xy = vcat(xbatch, ybatch)\n",
"\n",
" # discriminator training\n",
" Flux.train!(discloss, params(discriminator), [(xy, zy, ybatch)], optimizer)\n",
"\n",
" # generator training\n",
" Flux.train!(genloss, params(generator), [(zy, ybatch)], optimizer)\n",
" end\n",
"\n",
" if monitoring\n",
" genmonitor[epoch] = genlosses\n",
" genlosses = 0.0\n",
" discmonitor[epoch] = disclosses\n",
" disclosses = 0.0\n",
" end\n",
" end\n",
"\n",
" ConditionalGAN(discriminator, generator, nnoisevars, discmonitor, genmonitor)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ConditionalGAN(Chain(Dense(60, 60, NNlib.leakyrelu), Dense(60, 40), Dense(40, 20, NNlib.leakyrelu), Dense(20, 1, NNlib.σ)), Chain(Dense(20, 20, NNlib.leakyrelu), Dense(20, 50, NNlib.σ)), 10, Float32[0.287929, 0.254502, 0.242942, 0.236249, 0.236924, 0.235449, 0.231655, 0.236123, 0.24495, 0.237322 … 0.252112, 0.252498, 0.252559, 0.252676, 0.252325, 0.2524, 0.252577, 0.25261, 0.252815, 0.252339], Float32[0.271989, 0.315719, 0.360708, 0.382722, 0.391396, 0.387784, 0.392073, 0.386191, 0.387623, 0.390575 … 0.293935, 0.294736, 0.294202, 0.293039, 0.292703, 0.291614, 0.290474, 0.290639, 0.291201, 0.291876])"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cgan = fitcgan(geps, snps;\n",
" epochs = 2500,\n",
" optimizer = ADAM(0.001),\n",
" batchsize = 32)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The monitoring of the loss functions, which we collected during the training, indicates that we reached a point of convergence in the training:"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
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"<svg xmlns=\"http://www.w3.org/2000/svg\"\n",
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" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-ec9fa23e\");\n",
"fig.select(\"#img-ec9fa23e-4\")\n",
" .drag(function() {}, function() {}, function() {});\n",
"fig.select(\"#img-ec9fa23e-6\")\n",
" .data(\"color_class\", \"color_Discriminator\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec9fa23e-7\")\n",
" .data(\"color_class\", \"color_Generator\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec9fa23e-9\")\n",
" .data(\"color_class\", \"color_Discriminator\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec9fa23e-10\")\n",
" .data(\"color_class\", \"color_Generator\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-ec9fa23e-14\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-ec9fa23e-17\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-ec9fa23e-17\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-ec9fa23e-131\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-ec9fa23e-131\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-ec9fa23e-287\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using DataFrames\n",
"function monitoringplot(cgan)\n",
" plot(vcat(\n",
" DataFrame(x = 1:length(cgan.discmonitor), y = cgan.discmonitor,\n",
" Loss = \"Discriminator\"),\n",
" DataFrame(x = 1:length(cgan.genmonitor), y = cgan.genmonitor,\n",
" Loss = \"Generator\")),\n",
" x = :x, y = :y, color = :Loss, Geom.line)\n",
"end\n",
"\n",
"monitoringplot(cgan)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate data from the conditional GAN\n",
"After the conditional GAN is trained, we can use it to generate new data.\n",
"To check whether it was possible to capture the original distribution of the data, \n",
"we generate data that is conditional on the test data. \n",
"We observe that the CGAN we trained before is able to reproduce the pattern of the gene expression data, \n",
"thereby recognizing the links between the simulated SNP and gene expression data.\n"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/svg+xml": [
"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
"<svg xmlns=\"http://www.w3.org/2000/svg\"\n",
" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
" xmlns:gadfly=\"http://www.gadflyjl.org/ns\"\n",
" version=\"1.2\"\n",
" width=\"141.42mm\" height=\"100mm\" viewBox=\"0 0 141.42 100\"\n",
" stroke=\"none\"\n",
" fill=\"#000000\"\n",
" stroke-width=\"0.3\"\n",
" font-size=\"3.88\"\n",
">\n",
"<defs>\n",
" <marker id=\"arrow\" markerWidth=\"15\" markerHeight=\"7\" refX=\"5\" refY=\"3.5\" orient=\"auto\" markerUnits=\"strokeWidth\">\n",
" <path d=\"M0,0 L15,3.5 L0,7 z\" stroke=\"context-stroke\" fill=\"context-stroke\"/>\n",
" </marker>\n",
"</defs>\n",
"<g class=\"plotroot xscalable yscalable\" id=\"img-3275a0ee-1\">\n",
" <g class=\"guide xlabels\" font-size=\"2.82\" font-family=\"'PT Sans Caption','Helvetica Neue','Helvetica',sans-serif\" fill=\"#6C606B\" id=\"img-3275a0ee-2\">\n",
" <g transform=\"translate(42.56,64.42)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">50</text>\n",
" </g>\n",
" </g>\n",
" <g transform=\"translate(73.08,64.42)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">100</text>\n",
" </g>\n",
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" <g transform=\"translate(103.6,64.42)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">150</text>\n",
" </g>\n",
" </g>\n",
" <g transform=\"translate(134.12,64.42)\">\n",
" <g class=\"primitive\">\n",
" <text text-anchor=\"middle\" dy=\"0.6em\">200</text>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g clip-path=\"url(#img-3275a0ee-3)\">\n",
" <g id=\"img-3275a0ee-4\">\n",
" <g pointer-events=\"visible\" fill=\"#000000\" fill-opacity=\"0.000\" stroke=\"#000000\" stroke-opacity=\"0.000\" class=\"guide background\" id=\"img-3275a0ee-5\">\n",
" <g transform=\"translate(73.38,47.66)\" id=\"img-3275a0ee-6\">\n",
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" <g transform=\"translate(134.12,47.66)\" id=\"img-3275a0ee-17\">\n",
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" <g class=\"plotpanel\" id=\"img-3275a0ee-18\">\n",
" <metadata>\n",
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" <g shape-rendering=\"crispEdges\" class=\"geometry\" stroke=\"#000000\" stroke-opacity=\"0.000\" id=\"img-3275a0ee-19\">\n",
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" <g transform=\"translate(12.68,36.96)\" id=\"img-3275a0ee-21\">\n",
" <path d=\"M-0.33,-0.3 L 0.33 -0.3 0.33 0.3 -0.33 0.3 z\" class=\"primitive\"/>\n",
" </g>\n",
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" <path d=\"M-0.33,-0.3 L 0.33 -0.3 0.33 0.3 -0.33 0.3 z\" class=\"primitive\"/>\n",
" </g>\n",
" <g transform=\"translate(12.68,39.71)\" id=\"img-3275a0ee-23\">\n",
" <path d=\"M-0.33,-0.3 L 0.33 -0.3 0.33 0.3 -0.33 0.3 z\" class=\"primitive\"/>\n",
" </g>\n",
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" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-b0509e99\");\n",
"fig.select(\"#img-b0509e99-4\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-b0509e99-7\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-b0509e99-7\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-b0509e99-143\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-b0509e99-143\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-b0509e99-2227\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function generate(cgan::ConditionalGAN, y::Matrix{Float32}, nsamples::Int)\n",
" round.(Tracker.data(cgan.generator(vcat(randn(Float32, cgan.nnoisevars, nsamples), y))))\n",
"end\n",
"generatedgeps = generate(cgan, test_snps, 200)\n",
"binspy(generatedgeps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The deep Boltzmann machine\n",
"\n",
"### Preparing the data for the DBM\n",
"\n",
"In contrast to `Flux`, which expects the samples in the columns and works with `Float32`, the `BoltzmannMachines` package expects the samples in the rows and operates with `Float64`. \n",
"\n",
"Unlike the CGAN, we do not have to give the SNP data a specific role as \"labels\" to use it conditional sampling later on. We simply paste the data together and let the DBM learn the joint distribution."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
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" xmlns:gadfly=\"http://www.gadflyjl.org/ns\"\n",
" version=\"1.2\"\n",
" width=\"141.42mm\" height=\"100mm\" viewBox=\"0 0 141.42 100\"\n",
" stroke=\"none\"\n",
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">\n",
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"function(d,f,k,u,p){\"string\"==typeof k&&(p=u=k,k=4);\"string\"!=typeof u&&(p=u,u=\"#000\");null==k&&(k=4);null==p&&(p=1);null==d&&(d=0,f=2);null==f&&(f=d);u=a.color(u||\"#000\");return a.format('<feGaussianBlur in=\"SourceAlpha\" stdDeviation=\"{blur}\"/><feOffset dx=\"{dx}\" dy=\"{dy}\" result=\"offsetblur\"/><feFlood flood-color=\"{color}\"/><feComposite in2=\"offsetblur\" operator=\"in\"/><feComponentTransfer><feFuncA type=\"linear\" slope=\"{opacity}\"/></feComponentTransfer><feMerge><feMergeNode/><feMergeNode in=\"SourceGraphic\"/></feMerge>',\n",
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"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof define === \"function\" && define.amd) {\n",
" // Define as an anonymous module\n",
" define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
" return factory(Snap);\n",
" });\n",
" } else {\n",
" // Browser globals (glob is window)\n",
" // Snap adds itself to window\n",
" glob.Gadfly = factory(glob.Snap);\n",
" }\n",
"}(this, function (Snap) {\n",
"\n",
"var Gadfly = {};\n",
"\n",
"// Get an x/y coordinate value in pixels\n",
"var xPX = function(fig, x) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
"};\n",
"\n",
"var yPX = function(fig, y) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
"};\n",
"\n",
"\n",
"Snap.plugin(function (Snap, Element, Paper, global) {\n",
" // Traverse upwards from a snap element to find and return the first\n",
" // note with the \"plotroot\" class.\n",
" Element.prototype.plotroot = function () {\n",
" var element = this;\n",
" while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.svgroot = function () {\n",
" var element = this;\n",
" while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.plotbounds = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x0: bbox.x,\n",
" x1: bbox.x + bbox.width,\n",
" y0: bbox.y,\n",
" y1: bbox.y + bbox.height\n",
" };\n",
" };\n",
"\n",
" Element.prototype.plotcenter = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x: bbox.x + bbox.width / 2,\n",
" y: bbox.y + bbox.height / 2\n",
" };\n",
" };\n",
"\n",
" // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
" // does everything right.\n",
" // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
" var events = [\"mouseenter\", \"mouseleave\"];\n",
"\n",
" for (i in events) {\n",
" (function (event_name) {\n",
" var event_name = events[i];\n",
" Element.prototype[event_name] = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var fn2 = function (event) {\n",
" if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
" return;\n",
" }\n",
"\n",
" var reltg = event.relatedTarget ? event.relatedTarget :\n",
" event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
" while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
"\n",
" if (reltg != this.node) {\n",
" return fn.apply(this, event);\n",
" }\n",
" };\n",
"\n",
" if (event_name == \"mouseenter\") {\n",
" this.mouseover(fn2, scope);\n",
" } else {\n",
" this.mouseout(fn2, scope);\n",
" }\n",
" }\n",
" return this;\n",
" };\n",
" })(events[i]);\n",
" }\n",
"\n",
"\n",
" Element.prototype.mousewheel = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var el = this;\n",
" var fn2 = function (event) {\n",
" fn.apply(el, [event]);\n",
" };\n",
" }\n",
"\n",
" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-2b53ba5f\");\n",
"fig.select(\"#img-2b53ba5f-4\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-2b53ba5f-7\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-2b53ba5f-7\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-2b53ba5f-125\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-2b53ba5f-125\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-2b53ba5f-2786\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = Array{Float64}(vcat(geps, snps)')\n",
"testx = Array{Float64}(vcat(test_geps, test_snps)')\n",
"binspy(testx)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Training the DBM"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"Random.seed!(1)\n",
"\n",
"using BoltzmannMachines # version 1.1\n",
"\n",
"dbm = fitdbm(x;\n",
" # network architecture\n",
" nhiddens = [30, 10, 2],\n",
" \n",
" # layerwise pre-training\n",
" learningratepretraining = 0.002, epochspretraining = 300,\n",
"\n",
" # fine-tuning (i. e. joint training of all weights as DBM)\n",
" epochs = 100, learningrate = 0.003);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Conditional sampling from the DBM\n",
"\n",
"We sample conditioned on the test SNP data and visualize the result:"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
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"{color:u,dx:d,dy:f,blur:k,opacity:p})};a.filter.shadow.toString=function(){return this()};a.filter.grayscale=function(d){null==d&&(d=1);return a.format('<feColorMatrix type=\"matrix\" values=\"{a} {b} {c} 0 0 {d} {e} {f} 0 0 {g} {b} {h} 0 0 0 0 0 1 0\"/>',{a:0.2126+0.7874*(1-d),b:0.7152-0.7152*(1-d),c:0.0722-0.0722*(1-d),d:0.2126-0.2126*(1-d),e:0.7152+0.2848*(1-d),f:0.0722-0.0722*(1-d),g:0.2126-0.2126*(1-d),h:0.0722+0.9278*(1-d)})};a.filter.grayscale.toString=function(){return this()};a.filter.sepia=\n",
"function(d){null==d&&(d=1);return a.format('<feColorMatrix type=\"matrix\" values=\"{a} {b} {c} 0 0 {d} {e} {f} 0 0 {g} {h} {i} 0 0 0 0 0 1 0\"/>',{a:0.393+0.607*(1-d),b:0.769-0.769*(1-d),c:0.189-0.189*(1-d),d:0.349-0.349*(1-d),e:0.686+0.314*(1-d),f:0.168-0.168*(1-d),g:0.272-0.272*(1-d),h:0.534-0.534*(1-d),i:0.131+0.869*(1-d)})};a.filter.sepia.toString=function(){return this()};a.filter.saturate=function(d){null==d&&(d=1);return a.format('<feColorMatrix type=\"saturate\" values=\"{amount}\"/>',{amount:1-\n",
"d})};a.filter.saturate.toString=function(){return this()};a.filter.hueRotate=function(d){return a.format('<feColorMatrix type=\"hueRotate\" values=\"{angle}\"/>',{angle:d||0})};a.filter.hueRotate.toString=function(){return this()};a.filter.invert=function(d){null==d&&(d=1);return a.format('<feComponentTransfer><feFuncR type=\"table\" tableValues=\"{amount} {amount2}\"/><feFuncG type=\"table\" tableValues=\"{amount} {amount2}\"/><feFuncB type=\"table\" tableValues=\"{amount} {amount2}\"/></feComponentTransfer>',{amount:d,\n",
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"\n",
"]]> </script>\n",
"<script> <![CDATA[\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof define === \"function\" && define.amd) {\n",
" // Define as an anonymous module\n",
" define(\"Gadfly\", [\"Snap.svg\"], function (Snap) {\n",
" return factory(Snap);\n",
" });\n",
" } else {\n",
" // Browser globals (glob is window)\n",
" // Snap adds itself to window\n",
" glob.Gadfly = factory(glob.Snap);\n",
" }\n",
"}(this, function (Snap) {\n",
"\n",
"var Gadfly = {};\n",
"\n",
"// Get an x/y coordinate value in pixels\n",
"var xPX = function(fig, x) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return x * fig.node.viewBox.baseVal.width / client_box.width;\n",
"};\n",
"\n",
"var yPX = function(fig, y) {\n",
" var client_box = fig.node.getBoundingClientRect();\n",
" return y * fig.node.viewBox.baseVal.height / client_box.height;\n",
"};\n",
"\n",
"\n",
"Snap.plugin(function (Snap, Element, Paper, global) {\n",
" // Traverse upwards from a snap element to find and return the first\n",
" // note with the \"plotroot\" class.\n",
" Element.prototype.plotroot = function () {\n",
" var element = this;\n",
" while (!element.hasClass(\"plotroot\") && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.svgroot = function () {\n",
" var element = this;\n",
" while (element.node.nodeName != \"svg\" && element.parent() != null) {\n",
" element = element.parent();\n",
" }\n",
" return element;\n",
" };\n",
"\n",
" Element.prototype.plotbounds = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x0: bbox.x,\n",
" x1: bbox.x + bbox.width,\n",
" y0: bbox.y,\n",
" y1: bbox.y + bbox.height\n",
" };\n",
" };\n",
"\n",
" Element.prototype.plotcenter = function () {\n",
" var root = this.plotroot()\n",
" var bbox = root.select(\".guide.background\").node.getBBox();\n",
" return {\n",
" x: bbox.x + bbox.width / 2,\n",
" y: bbox.y + bbox.height / 2\n",
" };\n",
" };\n",
"\n",
" // Emulate IE style mouseenter/mouseleave events, since Microsoft always\n",
" // does everything right.\n",
" // See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/\n",
" var events = [\"mouseenter\", \"mouseleave\"];\n",
"\n",
" for (i in events) {\n",
" (function (event_name) {\n",
" var event_name = events[i];\n",
" Element.prototype[event_name] = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var fn2 = function (event) {\n",
" if (event.type != \"mouseover\" && event.type != \"mouseout\") {\n",
" return;\n",
" }\n",
"\n",
" var reltg = event.relatedTarget ? event.relatedTarget :\n",
" event.type == \"mouseout\" ? event.toElement : event.fromElement;\n",
" while (reltg && reltg != this.node) reltg = reltg.parentNode;\n",
"\n",
" if (reltg != this.node) {\n",
" return fn.apply(this, event);\n",
" }\n",
" };\n",
"\n",
" if (event_name == \"mouseenter\") {\n",
" this.mouseover(fn2, scope);\n",
" } else {\n",
" this.mouseout(fn2, scope);\n",
" }\n",
" }\n",
" return this;\n",
" };\n",
" })(events[i]);\n",
" }\n",
"\n",
"\n",
" Element.prototype.mousewheel = function (fn, scope) {\n",
" if (Snap.is(fn, \"function\")) {\n",
" var el = this;\n",
" var fn2 = function (event) {\n",
" fn.apply(el, [event]);\n",
" };\n",
" }\n",
"\n",
" this.node.addEventListener(\n",
" /Firefox/i.test(navigator.userAgent) ? \"DOMMouseScroll\" : \"mousewheel\",\n",
" fn2);\n",
"\n",
" return this;\n",
" };\n",
"\n",
"\n",
" // Snap's attr function can be too slow for things like panning/zooming.\n",
" // This is a function to directly update element attributes without going\n",
" // through eve.\n",
" Element.prototype.attribute = function(key, val) {\n",
" if (val === undefined) {\n",
" return this.node.getAttribute(key);\n",
" } else {\n",
" this.node.setAttribute(key, val);\n",
" return this;\n",
" }\n",
" };\n",
"\n",
" Element.prototype.init_gadfly = function() {\n",
" this.mouseenter(Gadfly.plot_mouseover)\n",
" .mousemove(Gadfly.plot_mousemove)\n",
" .mouseleave(Gadfly.plot_mouseout)\n",
" .dblclick(Gadfly.plot_dblclick)\n",
" .mousewheel(Gadfly.guide_background_scroll)\n",
" .drag(Gadfly.guide_background_drag_onmove,\n",
" Gadfly.guide_background_drag_onstart,\n",
" Gadfly.guide_background_drag_onend);\n",
" this.mouseenter(function (event) {\n",
" init_pan_zoom(this.plotroot());\n",
" });\n",
" return this;\n",
" };\n",
"});\n",
"\n",
"\n",
"Gadfly.plot_mousemove = function(event, x_px, y_px) {\n",
" var root = this.plotroot();\n",
" if (root.data(\"crosshair\")) {\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
" bB = root.select('boundingbox').node.getAttribute('value').split(' ');\n",
" uB = root.select('unitbox').node.getAttribute('value').split(' ');\n",
" xscale = root.data(\"xscale\");\n",
" yscale = root.data(\"yscale\");\n",
" xtranslate = root.data(\"tx\");\n",
" ytranslate = root.data(\"ty\");\n",
"\n",
" xoff_mm = bB[0].substr(0,bB[0].length-2)/1;\n",
" yoff_mm = bB[1].substr(0,bB[1].length-2)/1;\n",
" xoff_unit = uB[0]/1;\n",
" yoff_unit = uB[1]/1;\n",
" mm_per_xunit = bB[2].substr(0,bB[2].length-2) / uB[2];\n",
" mm_per_yunit = bB[3].substr(0,bB[3].length-2) / uB[3];\n",
" \n",
" x_unit = ((x_px / px_per_mm - xtranslate) / xscale - xoff_mm) / mm_per_xunit + xoff_unit;\n",
" y_unit = ((y_px / px_per_mm - ytranslate) / yscale - yoff_mm) / mm_per_yunit + yoff_unit;\n",
"\n",
" root.select('.crosshair').select('.primitive').select('text')\n",
" .node.innerHTML = x_unit.toPrecision(3)+\",\"+y_unit.toPrecision(3);\n",
" };\n",
"};\n",
"\n",
"Gadfly.helpscreen_visible = function(event) {\n",
" helpscreen_visible(this.plotroot());\n",
"};\n",
"var helpscreen_visible = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"Gadfly.helpscreen_hidden = function(event) {\n",
" helpscreen_hidden(this.plotroot());\n",
"};\n",
"var helpscreen_hidden = function(root) {\n",
" root.select(\".helpscreen\").animate({opacity: 0.0}, 250);\n",
"};\n",
"\n",
"// When the plot is moused over, emphasize the grid lines.\n",
"Gadfly.plot_mouseover = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" var keyboard_help = function(event) {\n",
" if (event.which == 191) { // ?\n",
" helpscreen_visible(root);\n",
" }\n",
" };\n",
" root.data(\"keyboard_help\", keyboard_help);\n",
" window.addEventListener(\"keydown\", keyboard_help);\n",
"\n",
" var keyboard_pan_zoom = function(event) {\n",
" var bounds = root.plotbounds(),\n",
" width = bounds.x1 - bounds.x0;\n",
" height = bounds.y1 - bounds.y0;\n",
" if (event.which == 187 || event.which == 73) { // plus or i\n",
" increase_zoom_by_position(root, 0.1, true);\n",
" } else if (event.which == 189 || event.which == 79) { // minus or o\n",
" increase_zoom_by_position(root, -0.1, true);\n",
" } else if (event.which == 39 || event.which == 76) { // right-arrow or l\n",
" set_plot_pan_zoom(root, root.data(\"tx\")-width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 40 || event.which == 74) { // down-arrow or j\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")-height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 37 || event.which == 72) { // left-arrow or h\n",
" set_plot_pan_zoom(root, root.data(\"tx\")+width/10, root.data(\"ty\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 38 || event.which == 75) { // up-arrow or k\n",
" set_plot_pan_zoom(root, root.data(\"tx\"), root.data(\"ty\")+height/10,\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" } else if (event.which == 82) { // r\n",
" set_plot_pan_zoom(root, 0.0, 0.0, 1.0, 1.0);\n",
" } else if (event.which == 191) { // ?\n",
" helpscreen_hidden(root);\n",
" } else if (event.which == 67) { // c\n",
" root.data(\"crosshair\",!root.data(\"crosshair\"));\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" }\n",
" };\n",
" root.data(\"keyboard_pan_zoom\", keyboard_pan_zoom);\n",
" window.addEventListener(\"keyup\", keyboard_pan_zoom);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" xgridlines.data(\"unfocused_strokedash\",\n",
" xgridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines.data(\"unfocused_strokedash\",\n",
" ygridlines.attribute(\"stroke-dasharray\").replace(/(\\d)(,|$)/g, \"$1mm$2\"));\n",
" var destcolor = root.data(\"focused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", \"none\")\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\")\n",
" .animate({opacity: root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 1.0}, 250);\n",
"};\n",
"\n",
"// Reset pan and zoom on double click\n",
"Gadfly.plot_dblclick = function(event) {\n",
" set_plot_pan_zoom(this.plotroot(), 0.0, 0.0, 1.0, 1.0);\n",
"};\n",
"\n",
"// Unemphasize grid lines on mouse out.\n",
"Gadfly.plot_mouseout = function(event) {\n",
" var root = this.plotroot();\n",
"\n",
" window.removeEventListener(\"keyup\", root.data(\"keyboard_pan_zoom\"));\n",
" root.data(\"keyboard_pan_zoom\", undefined);\n",
" window.removeEventListener(\"keydown\", root.data(\"keyboard_help\"));\n",
" root.data(\"keyboard_help\", undefined);\n",
"\n",
" var xgridlines = root.select(\".xgridlines\"),\n",
" ygridlines = root.select(\".ygridlines\");\n",
"\n",
" if (xgridlines) {\n",
" var destcolor = root.data(\"unfocused_xgrid_color\");\n",
" xgridlines.attribute(\"stroke-dasharray\", xgridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" var destcolor = root.data(\"unfocused_ygrid_color\");\n",
" ygridlines.attribute(\"stroke-dasharray\", ygridlines.data(\"unfocused_strokedash\"))\n",
" .selectAll(\"path\")\n",
" .animate({stroke: destcolor}, 250);\n",
" }\n",
"\n",
" root.select(\".crosshair\").animate({opacity: 0.0}, 250);\n",
" root.select(\".questionmark\").animate({opacity: 0.0}, 250);\n",
" helpscreen_hidden(root);\n",
"};\n",
"\n",
"\n",
"var set_geometry_transform = function(root, tx, ty, xscale, yscale) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
"\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
"\n",
" var xscale = xscalable ? xscale : 1.0,\n",
" yscale = yscalable ? yscale : 1.0;\n",
"\n",
" tx = xscalable ? tx : 0.0;\n",
" ty = yscalable ? ty : 0.0;\n",
"\n",
" var t = new Snap.Matrix().translate(tx, ty).scale(xscale, yscale);\n",
" root.selectAll(\".geometry, image\").forEach(function (element, i) {\n",
" element.transform(t);\n",
" });\n",
"\n",
" var t = new Snap.Matrix().scale(1.0/xscale, 1.0/yscale);\n",
" root.selectAll('.marker').forEach(function (element, i) {\n",
" element.selectAll('.primitive').forEach(function (element, i) {\n",
" element.transform(t);\n",
" }) });\n",
"\n",
" bounds = root.plotbounds();\n",
" px_per_mm = root.data(\"px_per_mm\");\n",
"\n",
" if (yscalable) {\n",
" var xfixed_t = new Snap.Matrix().translate(0, ty).scale(1.0, yscale);\n",
" root.selectAll(\".xfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(xfixed_t);\n",
" });\n",
"\n",
" ylabels = root.select(\".ylabels\");\n",
" if (ylabels) {\n",
" ylabels.transform(xfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1, 1/yscale);\n",
" element.select(\"text\").transform(unscale_t);\n",
" \n",
" var y = element.attr(\"transform\").globalMatrix.f / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.y0 <= y && y <= bounds.y1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"\n",
" if (xscalable) {\n",
" var yfixed_t = new Snap.Matrix().translate(tx, 0).scale(xscale, 1.0);\n",
" var xtrans = new Snap.Matrix().translate(tx, 0);\n",
" root.selectAll(\".yfixed\")\n",
" .forEach(function (element, i) {\n",
" element.transform(yfixed_t);\n",
" });\n",
"\n",
" xlabels = root.select(\".xlabels\");\n",
" if (xlabels) {\n",
" xlabels.transform(yfixed_t)\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" unscale_t = new Snap.Matrix();\n",
" unscale_t.scale(1/xscale, 1);\n",
" element.select(\"text\").transform(unscale_t);\n",
"\n",
" var x = element.attr(\"transform\").globalMatrix.e / px_per_mm;\n",
" element.attr(\"visibility\",\n",
" bounds.x0 <= x && x <= bounds.x1 ? \"visible\" : \"hidden\");\n",
" }\n",
" });\n",
" }\n",
" }\n",
"};\n",
"\n",
"\n",
"// Find the most appropriate tick scale and update label visibility.\n",
"var update_tickscale = function(root, scale, axis) {\n",
" if (!root.hasClass(axis + \"scalable\")) return;\n",
"\n",
" var tickscales = root.data(axis + \"tickscales\");\n",
" var best_tickscale = 1.0;\n",
" var best_tickscale_dist = Infinity;\n",
" for (tickscale in tickscales) {\n",
" var dist = Math.abs(Math.log(tickscale) - Math.log(scale));\n",
" if (dist < best_tickscale_dist) {\n",
" best_tickscale_dist = dist;\n",
" best_tickscale = tickscale;\n",
" }\n",
" }\n",
"\n",
" if (best_tickscale != root.data(axis + \"tickscale\")) {\n",
" root.data(axis + \"tickscale\", best_tickscale);\n",
" var mark_inscale_gridlines = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" var mark_inscale_labels = function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == null) { return; }\n",
" var inscale = element.attr(\"gadfly:scale\") == best_tickscale;\n",
" element.attribute(\"gadfly:inscale\", inscale);\n",
" element.attr(\"visibility\", inscale ? \"visible\" : \"hidden\");\n",
" };\n",
"\n",
" root.select(\".\" + axis + \"gridlines\").selectAll(\"g\").forEach(mark_inscale_gridlines);\n",
" root.select(\".\" + axis + \"labels\").selectAll(\"g\").forEach(mark_inscale_labels);\n",
" }\n",
"};\n",
"\n",
"\n",
"var set_plot_pan_zoom = function(root, tx, ty, xscale, yscale) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\");\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" // compute the viewport derived from tx, ty, xscale, and yscale\n",
" var x_min = -width * xscale - (xscale * width - width),\n",
" x_max = width * xscale,\n",
" y_min = -height * yscale - (yscale * height - height),\n",
" y_max = height * yscale;\n",
"\n",
" var x0 = bounds.x0 - xscale * bounds.x0,\n",
" y0 = bounds.y0 - yscale * bounds.y0;\n",
"\n",
" var tx = Math.max(Math.min(tx - x0, x_max), x_min),\n",
" ty = Math.max(Math.min(ty - y0, y_max), y_min);\n",
"\n",
" tx += x0;\n",
" ty += y0;\n",
"\n",
" // when the scale changes, we may need to alter which set of\n",
" // ticks are being displayed\n",
" if (xscale != old_xscale) {\n",
" update_tickscale(root, xscale, \"x\");\n",
" }\n",
" if (yscale != old_yscale) {\n",
" update_tickscale(root, yscale, \"y\");\n",
" }\n",
"\n",
" set_geometry_transform(root, tx, ty, xscale, yscale);\n",
"\n",
" root.data(\"xscale\", xscale);\n",
" root.data(\"yscale\", yscale);\n",
" root.data(\"tx\", tx);\n",
" root.data(\"ty\", ty);\n",
"};\n",
"\n",
"\n",
"var scale_centered_translation = function(root, xscale, yscale) {\n",
" var bounds = root.plotbounds();\n",
"\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var xscale0 = root.data(\"xscale\"),\n",
" yscale0 = root.data(\"yscale\");\n",
"\n",
" // how off from center the current view is\n",
" var xoff = tx0 - (bounds.x0 * (1 - xscale0) + (width * (1 - xscale0)) / 2),\n",
" yoff = ty0 - (bounds.y0 * (1 - yscale0) + (height * (1 - yscale0)) / 2);\n",
"\n",
" // rescale offsets\n",
" xoff = xoff * xscale / xscale0;\n",
" yoff = yoff * yscale / yscale0;\n",
"\n",
" // adjust for the panel position being scaled\n",
" var x_edge_adjust = bounds.x0 * (1 - xscale),\n",
" y_edge_adjust = bounds.y0 * (1 - yscale);\n",
"\n",
" return {\n",
" x: xoff + x_edge_adjust + (width - width * xscale) / 2,\n",
" y: yoff + y_edge_adjust + (height - height * yscale) / 2\n",
" };\n",
"};\n",
"\n",
"\n",
"// Initialize data for panning zooming if it isn't already.\n",
"var init_pan_zoom = function(root) {\n",
" if (root.data(\"zoompan-ready\")) {\n",
" return;\n",
" }\n",
"\n",
" root.data(\"crosshair\",false);\n",
"\n",
" // The non-scaling-stroke trick. Rather than try to correct for the\n",
" // stroke-width when zooming, we force it to a fixed value.\n",
" var px_per_mm = root.node.getCTM().a;\n",
"\n",
" // Drag events report deltas in pixels, which we'd like to convert to\n",
" // millimeters.\n",
" root.data(\"px_per_mm\", px_per_mm);\n",
"\n",
" root.selectAll(\"path\")\n",
" .forEach(function (element, i) {\n",
" sw = element.asPX(\"stroke-width\") * px_per_mm;\n",
" if (sw > 0) {\n",
" element.attribute(\"stroke-width\", sw);\n",
" element.attribute(\"vector-effect\", \"non-scaling-stroke\");\n",
" }\n",
" });\n",
"\n",
" // Store ticks labels original tranformation\n",
" root.selectAll(\".xlabels > g, .ylabels > g\")\n",
" .forEach(function (element, i) {\n",
" var lm = element.transform().localMatrix;\n",
" element.data(\"static_transform\",\n",
" new Snap.Matrix(lm.a, lm.b, lm.c, lm.d, lm.e, lm.f));\n",
" });\n",
"\n",
" var xgridlines = root.select(\".xgridlines\");\n",
" var ygridlines = root.select(\".ygridlines\");\n",
" var xlabels = root.select(\".xlabels\");\n",
" var ylabels = root.select(\".ylabels\");\n",
"\n",
" if (root.data(\"tx\") === undefined) root.data(\"tx\", 0);\n",
" if (root.data(\"ty\") === undefined) root.data(\"ty\", 0);\n",
" if (root.data(\"xscale\") === undefined) root.data(\"xscale\", 1.0);\n",
" if (root.data(\"yscale\") === undefined) root.data(\"yscale\", 1.0);\n",
" if (root.data(\"xtickscales\") === undefined) {\n",
"\n",
" // index all the tick scales that are listed\n",
" var xtickscales = {};\n",
" var ytickscales = {};\n",
" var add_x_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" xtickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
" var add_y_tick_scales = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\")==null) { return; }\n",
" ytickscales[element.attribute(\"gadfly:scale\")] = true;\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(add_y_tick_scales);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(add_x_tick_scales);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(add_y_tick_scales);\n",
"\n",
" root.data(\"xtickscales\", xtickscales);\n",
" root.data(\"ytickscales\", ytickscales);\n",
" root.data(\"xtickscale\", 1.0);\n",
" root.data(\"ytickscale\", 1.0); // ???\n",
" }\n",
"\n",
" var min_scale = 1.0, max_scale = 1.0;\n",
" for (scale in xtickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" for (scale in ytickscales) {\n",
" min_scale = Math.min(min_scale, scale);\n",
" max_scale = Math.max(max_scale, scale);\n",
" }\n",
" root.data(\"min_scale\", min_scale);\n",
" root.data(\"max_scale\", max_scale);\n",
"\n",
" // store the original positions of labels\n",
" if (xlabels) {\n",
" xlabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"x\", element.asPX(\"x\"));\n",
" });\n",
" }\n",
"\n",
" if (ylabels) {\n",
" ylabels.selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" element.data(\"y\", element.asPX(\"y\"));\n",
" });\n",
" }\n",
"\n",
" // mark grid lines and ticks as in or out of scale.\n",
" var mark_inscale = function (element, i) {\n",
" if (element.attribute(\"gadfly:scale\") == null) { return; }\n",
" element.attribute(\"gadfly:inscale\", element.attribute(\"gadfly:scale\") == 1.0);\n",
" };\n",
"\n",
" if (xgridlines) xgridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ygridlines) ygridlines.selectAll(\"g\").forEach(mark_inscale);\n",
" if (xlabels) xlabels.selectAll(\"g\").forEach(mark_inscale);\n",
" if (ylabels) ylabels.selectAll(\"g\").forEach(mark_inscale);\n",
"\n",
" // figure out the upper ond lower bounds on panning using the maximum\n",
" // and minum grid lines\n",
" var bounds = root.plotbounds();\n",
" var pan_bounds = {\n",
" x0: 0.0,\n",
" y0: 0.0,\n",
" x1: 0.0,\n",
" y1: 0.0\n",
" };\n",
"\n",
" if (xgridlines) {\n",
" xgridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.x1 - bbox.x < pan_bounds.x0) {\n",
" pan_bounds.x0 = bounds.x1 - bbox.x;\n",
" }\n",
" if (bounds.x0 - bbox.x > pan_bounds.x1) {\n",
" pan_bounds.x1 = bounds.x0 - bbox.x;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" if (ygridlines) {\n",
" ygridlines\n",
" .selectAll(\"g\")\n",
" .forEach(function (element, i) {\n",
" if (element.attribute(\"gadfly:inscale\") == \"true\") {\n",
" var bbox = element.node.getBBox();\n",
" if (bounds.y1 - bbox.y < pan_bounds.y0) {\n",
" pan_bounds.y0 = bounds.y1 - bbox.y;\n",
" }\n",
" if (bounds.y0 - bbox.y > pan_bounds.y1) {\n",
" pan_bounds.y1 = bounds.y0 - bbox.y;\n",
" }\n",
" element.attr(\"visibility\", \"visible\");\n",
" }\n",
" });\n",
" }\n",
"\n",
" // nudge these values a little\n",
" pan_bounds.x0 -= 5;\n",
" pan_bounds.x1 += 5;\n",
" pan_bounds.y0 -= 5;\n",
" pan_bounds.y1 += 5;\n",
" root.data(\"pan_bounds\", pan_bounds);\n",
"\n",
" root.data(\"zoompan-ready\", true)\n",
"};\n",
"\n",
"\n",
"// drag actions, i.e. zooming and panning\n",
"var pan_action = {\n",
" start: function(root, x, y, event) {\n",
" root.data(\"dx\", 0);\n",
" root.data(\"dy\", 0);\n",
" root.data(\"tx0\", root.data(\"tx\"));\n",
" root.data(\"ty0\", root.data(\"ty\"));\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" dx /= px_per_mm;\n",
" dy /= px_per_mm;\n",
"\n",
" var tx0 = root.data(\"tx\"),\n",
" ty0 = root.data(\"ty\");\n",
"\n",
" var dx0 = root.data(\"dx\"),\n",
" dy0 = root.data(\"dy\");\n",
"\n",
" root.data(\"dx\", dx);\n",
" root.data(\"dy\", dy);\n",
"\n",
" dx = dx - dx0;\n",
" dy = dy - dy0;\n",
"\n",
" var tx = tx0 + dx,\n",
" ty = ty0 + dy;\n",
"\n",
" set_plot_pan_zoom(root, tx, ty, root.data(\"xscale\"), root.data(\"yscale\"));\n",
" },\n",
" end: function(root, event) {\n",
"\n",
" },\n",
" cancel: function(root) {\n",
" set_plot_pan_zoom(root, root.data(\"tx0\"), root.data(\"ty0\"),\n",
" root.data(\"xscale\"), root.data(\"yscale\"));\n",
" }\n",
"};\n",
"\n",
"var zoom_box;\n",
"var zoom_action = {\n",
" start: function(root, x, y, event) {\n",
" var bounds = root.plotbounds();\n",
" var width = bounds.x1 - bounds.x0,\n",
" height = bounds.y1 - bounds.y0;\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" x = xscalable ? x / px_per_mm : bounds.x0;\n",
" y = yscalable ? y / px_per_mm : bounds.y0;\n",
" var w = xscalable ? 0 : width;\n",
" var h = yscalable ? 0 : height;\n",
" zoom_box = root.rect(x, y, w, h).attr({\n",
" \"fill\": \"#000\",\n",
" \"opacity\": 0.25\n",
" });\n",
" },\n",
" update: function(root, dx, dy, x, y, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var px_per_mm = root.data(\"px_per_mm\");\n",
" var bounds = root.plotbounds();\n",
" if (yscalable) {\n",
" y /= px_per_mm;\n",
" y = Math.max(bounds.y0, y);\n",
" y = Math.min(bounds.y1, y);\n",
" } else {\n",
" y = bounds.y1;\n",
" }\n",
" if (xscalable) {\n",
" x /= px_per_mm;\n",
" x = Math.max(bounds.x0, x);\n",
" x = Math.min(bounds.x1, x);\n",
" } else {\n",
" x = bounds.x1;\n",
" }\n",
"\n",
" dx = x - zoom_box.attr(\"x\");\n",
" dy = y - zoom_box.attr(\"y\");\n",
" var xoffset = 0,\n",
" yoffset = 0;\n",
" if (dx < 0) {\n",
" xoffset = dx;\n",
" dx = -1 * dx;\n",
" }\n",
" if (dy < 0) {\n",
" yoffset = dy;\n",
" dy = -1 * dy;\n",
" }\n",
" if (isNaN(dy)) {\n",
" dy = 0.0;\n",
" }\n",
" if (isNaN(dx)) {\n",
" dx = 0.0;\n",
" }\n",
" zoom_box.transform(\"T\" + xoffset + \",\" + yoffset);\n",
" zoom_box.attr(\"width\", dx);\n",
" zoom_box.attr(\"height\", dy);\n",
" },\n",
" end: function(root, event) {\n",
" var xscalable = root.hasClass(\"xscalable\"),\n",
" yscalable = root.hasClass(\"yscalable\");\n",
" var zoom_bounds = zoom_box.getBBox();\n",
" if (zoom_bounds.width * zoom_bounds.height <= 0) {\n",
" return;\n",
" }\n",
" var plot_bounds = root.plotbounds();\n",
" var xzoom_factor = 1.0,\n",
" yzoom_factor = 1.0;\n",
" if (xscalable) {\n",
" xzoom_factor = (plot_bounds.x1 - plot_bounds.x0) / zoom_bounds.width;\n",
" }\n",
" if (yscalable) {\n",
" yzoom_factor = (plot_bounds.y1 - plot_bounds.y0) / zoom_bounds.height;\n",
" }\n",
" var tx = (root.data(\"tx\") - zoom_bounds.x) * xzoom_factor + plot_bounds.x0,\n",
" ty = (root.data(\"ty\") - zoom_bounds.y) * yzoom_factor + plot_bounds.y0;\n",
" set_plot_pan_zoom(root, tx, ty,\n",
" root.data(\"xscale\") * xzoom_factor, root.data(\"yscale\") * yzoom_factor);\n",
" zoom_box.remove();\n",
" },\n",
" cancel: function(root) {\n",
" zoom_box.remove();\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onstart = function(x, y, event) {\n",
" var root = this.plotroot();\n",
" var scalable = root.hasClass(\"xscalable\") || root.hasClass(\"yscalable\");\n",
" var zoomable = !event.altKey && !event.ctrlKey && event.shiftKey && scalable;\n",
" var panable = !event.altKey && !event.ctrlKey && !event.shiftKey && scalable;\n",
" var drag_action = zoomable ? zoom_action :\n",
" panable ? pan_action :\n",
" undefined;\n",
" root.data(\"drag_action\", drag_action);\n",
" if (drag_action) {\n",
" var cancel_drag_action = function(event) {\n",
" if (event.which == 27) { // esc key\n",
" drag_action.cancel(root);\n",
" root.data(\"drag_action\", undefined);\n",
" }\n",
" };\n",
" window.addEventListener(\"keyup\", cancel_drag_action);\n",
" root.data(\"cancel_drag_action\", cancel_drag_action);\n",
" drag_action.start(root, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onmove = function(dx, dy, x, y, event) {\n",
" var root = this.plotroot();\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.update(root, dx, dy, x, y, event);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_drag_onend = function(event) {\n",
" var root = this.plotroot();\n",
" window.removeEventListener(\"keyup\", root.data(\"cancel_drag_action\"));\n",
" root.data(\"cancel_drag_action\", undefined);\n",
" var drag_action = root.data(\"drag_action\");\n",
" if (drag_action) {\n",
" drag_action.end(root, event);\n",
" }\n",
" root.data(\"drag_action\", undefined);\n",
"};\n",
"\n",
"\n",
"Gadfly.guide_background_scroll = function(event) {\n",
" if (event.shiftKey) {\n",
" increase_zoom_by_position(this.plotroot(), 0.001 * event.wheelDelta);\n",
" event.preventDefault();\n",
" }\n",
"};\n",
"\n",
"// Map slider position x to scale y using the function y = a*exp(b*x)+c.\n",
"// The constants a, b, and c are solved using the constraint that the function\n",
"// should go through the points (0; min_scale), (0.5; 1), and (1; max_scale).\n",
"var scale_from_slider_position = function(position, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return 1; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return a * Math.exp(b * position) + c;\n",
"}\n",
"\n",
"// inverse of scale_from_slider_position\n",
"var slider_position_from_scale = function(scale, min_scale, max_scale) {\n",
" if (min_scale==max_scale) { return min_scale; }\n",
" var a = (1 - 2 * min_scale + min_scale * min_scale) / (min_scale + max_scale - 2),\n",
" b = 2 * Math.log((max_scale - 1) / (1 - min_scale)),\n",
" c = (min_scale * max_scale - 1) / (min_scale + max_scale - 2);\n",
" return 1 / b * Math.log((scale - c) / a);\n",
"}\n",
"\n",
"var increase_zoom_by_position = function(root, delta_position, animate) {\n",
" var old_xscale = root.data(\"xscale\"),\n",
" old_yscale = root.data(\"yscale\"),\n",
" min_scale = root.data(\"min_scale\"),\n",
" max_scale = root.data(\"max_scale\");\n",
" var xposition = slider_position_from_scale(old_xscale, min_scale, max_scale),\n",
" yposition = slider_position_from_scale(old_yscale, min_scale, max_scale);\n",
" xposition += (root.hasClass(\"xscalable\") ? delta_position : 0.0);\n",
" yposition += (root.hasClass(\"yscalable\") ? delta_position : 0.0);\n",
" old_xscale = scale_from_slider_position(xposition, min_scale, max_scale);\n",
" old_yscale = scale_from_slider_position(yposition, min_scale, max_scale);\n",
" var new_xscale = Math.max(min_scale, Math.min(old_xscale, max_scale)),\n",
" new_yscale = Math.max(min_scale, Math.min(old_yscale, max_scale));\n",
" if (animate) {\n",
" Snap.animate(\n",
" [old_xscale, old_yscale],\n",
" [new_xscale, new_yscale],\n",
" function (new_scale) {\n",
" update_plot_scale(root, new_scale[0], new_scale[1]);\n",
" },\n",
" 200);\n",
" } else {\n",
" update_plot_scale(root, new_xscale, new_yscale);\n",
" }\n",
"}\n",
"\n",
"\n",
"var update_plot_scale = function(root, new_xscale, new_yscale) {\n",
" var trans = scale_centered_translation(root, new_xscale, new_yscale);\n",
" set_plot_pan_zoom(root, trans.x, trans.y, new_xscale, new_yscale);\n",
"};\n",
"\n",
"\n",
"var toggle_color_class = function(root, color_class, ison) {\n",
" var escaped_color_class = color_class.replace(/([^0-9a-zA-z])/g,\"\\\\$1\");\n",
" var guides = root.selectAll(\".guide.\" + escaped_color_class + \",.guide .\" + escaped_color_class);\n",
" var geoms = root.selectAll(\".geometry.\" + escaped_color_class + \",.geometry .\" + escaped_color_class);\n",
" if (ison) {\n",
" guides.animate({opacity: 0.5}, 250);\n",
" geoms.animate({opacity: 0.0}, 250);\n",
" } else {\n",
" guides.animate({opacity: 1.0}, 250);\n",
" geoms.animate({opacity: 1.0}, 250);\n",
" }\n",
"};\n",
"\n",
"\n",
"Gadfly.colorkey_swatch_click = function(event) {\n",
" var root = this.plotroot();\n",
" var color_class = this.data(\"color_class\");\n",
"\n",
" if (event.shiftKey) {\n",
" root.selectAll(\".colorkey g\")\n",
" .forEach(function (element) {\n",
" var other_color_class = element.data(\"color_class\");\n",
" if (typeof other_color_class !== 'undefined' && other_color_class != color_class) {\n",
" toggle_color_class(root, other_color_class,\n",
" element.attr(\"opacity\") == 1.0);\n",
" }\n",
" });\n",
" } else {\n",
" toggle_color_class(root, color_class, this.attr(\"opacity\") == 1.0);\n",
" }\n",
"};\n",
"\n",
"\n",
"return Gadfly;\n",
"\n",
"}));\n",
"\n",
"\n",
"//@ sourceURL=gadfly.js\n",
"\n",
"(function (glob, factory) {\n",
" // AMD support\n",
" if (typeof require === \"function\" && typeof define === \"function\" && define.amd) {\n",
" require([\"Snap.svg\", \"Gadfly\"], function (Snap, Gadfly) {\n",
" factory(Snap, Gadfly);\n",
" });\n",
" } else {\n",
" factory(glob.Snap, glob.Gadfly);\n",
" }\n",
"})(window, function (Snap, Gadfly) {\n",
" var fig = Snap(\"#img-cc683540\");\n",
"fig.select(\"#img-cc683540-4\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-cc683540-7\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-cc683540-7\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-cc683540-125\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-cc683540-125\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-cc683540-2872\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ntestsamples = size(testx, 1)\n",
"particles = initparticles(dbm, ntestsamples)\n",
"snprange = 51:60\n",
"particles[1][:, snprange] .= test_snps'\n",
"gibbssamplecond!(particles, dbm, snprange, 50)\n",
"\n",
"binspy(particles[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion: Comparison of the results from CGAN and DBM"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We saw that we could train a CGAN and a DBM with the data. Both models could learn the association between SNPs and gene expression: In both cases we could sample from the conditional distributions of the SNPs to get data that is visually very close to the test gene expression data. \n",
"\n",
"Both models were not able to detect the slightly higher probabilities in the first quarter of the gene expression data with the given sample size, but got the block with the high probabilities right.\n",
"\n",
"We could see some advantages of DBMs here:\n",
"* The CGAN was difficult to train: We needed the trick of weakening the discriminator with Gaussian noise to be able to get a good result.\n",
"* While the DBM could figure out the joint distribution of gene expression and SNP data on its own, we needed to design the training of the CGAN with respect to the later use: We had to specifially use the SNP data as labels in the architecture.\n",
"* The DBM reproduced the background noise level very well and did not produce visible artifacts there.\n"
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