gpu-jupyter/extra/Getting_Started/JuliaQuickstart.ipynb

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"# Demo script for Julia language\n"
]
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Interaction & Plotting"
]
},
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"source": [
"# In Julia, calculations can be written very comfortable\n",
"n = 10\n",
"(2^n - 10^(0.3*n)) / 10^(0.3*n)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"using IJulia\n",
"using Gadfly\n",
"using RDatasets"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# This is how additional packages can be imported\n",
"# import Pkg\n",
"# Pkg.add(\"RDatasets\")"
]
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{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"iris = dataset(\"datasets\", \"iris\");"
]
},
{
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"execution_count": 5,
"metadata": {},
"outputs": [
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"┌ Warning: `getindex(df::DataFrame, col_ind::ColumnIndex)` is deprecated, use `df[!, col_ind]` instead.\n",
"│ caller = evalmapping(::DataFrame, ::Symbol) at dataframes.jl:96\n",
"└ @ Gadfly /opt/julia/packages/Gadfly/1wgcD/src/dataframes.jl:96\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({\"fill-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({\"fill-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({\"fill-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({\"fill-opacity\": root.data(\"crosshair\") ? 1.0 : 0.0}, 250);\n",
" root.select(\".questionmark\").animate({\"fill-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({\"fill-opacity\": 0.0}, 250);\n",
" root.select(\".questionmark\").animate({\"fill-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",
" \"fill-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-58f6914d\");\n",
"fig.select(\"#img-58f6914d-4\")\n",
" .drag(function() {}, function() {}, function() {});\n",
"fig.select(\"#img-58f6914d-6\")\n",
" .data(\"color_class\", \"color_setosa\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-7\")\n",
" .data(\"color_class\", \"color_versicolor\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-8\")\n",
" .data(\"color_class\", \"color_virginica\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-10\")\n",
" .data(\"color_class\", \"color_setosa\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-11\")\n",
" .data(\"color_class\", \"color_versicolor\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-12\")\n",
" .data(\"color_class\", \"color_virginica\")\n",
".click(Gadfly.colorkey_swatch_click)\n",
";\n",
"fig.select(\"#img-58f6914d-16\")\n",
" .init_gadfly();\n",
"fig.select(\"#img-58f6914d-19\")\n",
" .plotroot().data(\"unfocused_ygrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-58f6914d-19\")\n",
" .plotroot().data(\"focused_ygrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-58f6914d-157\")\n",
" .plotroot().data(\"unfocused_xgrid_color\", \"#D0D0E0\")\n",
";\n",
"fig.select(\"#img-58f6914d-157\")\n",
" .plotroot().data(\"focused_xgrid_color\", \"#A0A0A0\")\n",
";\n",
"fig.select(\"#img-58f6914d-730\")\n",
" .mouseenter(Gadfly.helpscreen_visible)\n",
".mouseleave(Gadfly.helpscreen_hidden)\n",
";\n",
" });\n",
"]]> </script>\n",
"</svg>\n"
],
"text/plain": [
"Plot(...)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(iris, x=:SepalLength, y=:PetalWidth, color=:Species, Geom.point)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Python $\\leftrightarrow$ Julia interoperability\n",
"\n",
"## Julia Kernel in Python notebook\n",
"\n",
"To use the `%%julia` magic in a notebook with another kernel, add `julia` in the defaults in the file `/opt/conda/lib/python3.7/site-packages/IPython/core/magics/script.py` (using nano in a terminal).\n",
"\n",
"Like here:\n",
"```python\n",
"defaults = [\n",
" 'sh',\n",
" 'bash',\n",
" 'perl',\n",
" 'ruby',\n",
" 'python',\n",
" 'python2',\n",
" 'python3',\n",
" 'pypy',\n",
" 'julia', # add the julia interpreter\n",
"]\n",
"```\n",
"\n",
"Then restart the kernal and use the julia kernel in a non-julia notebook with:\n",
"\n",
"```python\n",
"%%julia\n",
"rfib(n) = n < 2 ? n : rfib(n-1) + rfib(n-2)\n",
"rfib(12)\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Python Modules in Julia\n",
"\n",
"**Important: This funcionality is still in progress, see https://github.com/JuliaPy**"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m registry at `/opt/julia/registries/General`\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m git-repo `https://github.com/JuliaRegistries/General.git`\n",
"\u001b[?25l\u001b[2K\u001b[?25h\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `/opt/julia/environments/v1.1/Project.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `/opt/julia/environments/v1.1/Manifest.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n"
]
}
],
"source": [
"# Install if not already done\n",
"import Pkg; Pkg.add(\"PyCall\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"using PyCall"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PyObject <module 'numpy' from '/opt/conda/lib/python3.7/site-packages/numpy/__init__.py'>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np = pyimport(\"numpy\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Did it work?\n",
" -> true\n"
]
}
],
"source": [
"println(\"Did it work?\\n -> \", np.sin(np.pi/2) == 1.0)"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.1.0",
"language": "julia",
"name": "julia-1.1"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.1.0"
}
},
"nbformat": 4,
"nbformat_minor": 4
}