31:T47a,md` # Color spaces This notebook illustrates a few important color spaces. All the color math is done in WebGL GLSL, which can be found in the [conversionShaders](#conversionShaders) cell. ## Gamuts and accuracy Unfortunately, the range of colors we can illustrate is limited by your computer monitor. On top of that, the accuracy of those colors depends on the pipeline between WebGL, your browser, your OS, and your monitor. The GLSL code below assumes your software pipeline interprets WebGL output in [sRGB](https://en.wikipedia.org/wiki/SRGB), and that your monitor is properly calibrated to display those colors. By default, values outside the sRGB gamut are hidden. Clear the _Mask out-of-gamut values_ checkbox to get a general idea of what colors lie outside that range—and how the limited R, G, and B ranges define its shape. ## Acknowledgements Thanks to Bruce Lindbloom, whose website has incredibly useful [color math reference pages](http://brucelindbloom.com/index.html?Math.html), and to the [UCL Color Vision & Research Laboratory](http://cvrl.ioo.ucl.ac.uk/) for providing data for the CIE standard observer functions. `32:T533,md` ## CIE XYZ/xyY [CIE XYZ](https://en.wikipedia.org/wiki/CIE_1931_color_space) is the lingua franca of color spaces: most other color spaces are defined as a transformation of XYZ. It was standardized in 1931 based on _color matching_ experiments in the 1920s, where observers had to reproduce pure spectral colors using a mix of three primaries. For an illustrated explanation of how this space was developed, see "[A Beginner's Guide to CIE Colorimetry](https://medium.com/hipster-color-science/a-beginners-guide-to-colorimetry-401f1830b65a)" by Chandler Abraham. The xyY color space is a simple transformation of XYZ that makes luminance and chrominance orthogonal. The uppercase Y coordinate, which measures luminance, is the same as XYZ. Lowercase x, y, and z are normalized versions of X, Y, and Z such that x + y + z = 1, which makes the third coordinate redundant. The chromaticity diagram below shows a 2D slice of the xyY color space along the x-y plane. Use the slider below to move up and down the Y coordinate. The black line shows the coordinates of pure spectral colors. Coordinates outside of those bounds are _imaginary colors_, since no distribution of spectral light can create them—even though it is sometimes [possible for your brain to perceive them](https://en.wikipedia.org/wiki/Impossible_color). `33:T4a6,md` ## CIE Lab/Luv [CIE Lab](https://en.wikipedia.org/wiki/CIELAB_color_space#CIELAB) (L\\*a\\*b\\*) and [CIE Luv](https://en.wikipedia.org/wiki/CIELUV) (L\\*u\\*v\\*) are both transformations of XYZ that aim for _perceptual uniformity_, where differences in color space coordinates are proportional to differences in perceived color. In the finest tradition of standards bodies, CIE published both of them in 1976 after it couldn't reach an agreement on which was better. Both color spaces use the same L\\* coordinate, which measures _lightness_, a perceptually-uniform transformation of luminance (Y). They differ in their chromaticity coordinates, a\\* (green ↔︎ red) and b\\* (blue ↔︎ yellow) versus u\\* (based primarily on X) and v\\* (based primarily on Y). The chromaticity diagrams below show 2D slices along the a\\*-b\\* and u\\*-v\\* planes. Use the slider below to move up and down the L\\* coordinate. The black line, again, shows the coordinates of pure spectral colors, but since that locus has a more complex 3D shape and color mixing is not as direct in the Lab and Luv color spaces, it's not obvious which coordinates are imaginary colors in these diagrams. `34:T126f,conversionShaders = ({ xyz: ` // http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html // http://www.brucelindbloom.com/index.html?Eqn_RGB_XYZ_Matrix.html const vec3 D50_XYZ = vec3(0.96422, 1.00000, 0.82521); const vec3 D65_XYZ = vec3(0.95047, 1.00000, 1.08883); // Beware of GLSL's ordering for matrix literals. These are transposed // from what you would see in almost any other context. const mat3 LINEAR_SRGB_FROM_XYZ_D65 = mat3( 3.2404542, -0.9692660, 0.0556434, -1.5371385, 1.8760108, -0.2040259, -0.4985314, 0.0415560, 1.0572252 ); const mat3 LINEAR_SRGB_FROM_XYZ_D50 = mat3( 3.1338561, -0.9787684, 0.0719453, -1.6168667, 1.9161415, -0.2289914, -0.4906146, 0.0334540, 1.4052427 ); vec3 sRGBGamma(vec3 c) { vec3 linScale = 12.92 * c; vec3 expScale = 1.055 * pow(c, vec3(1.0 / 2.4)) - 0.055; vec3 isLinear = 1.0 - step(0.0031308, c); return isLinear * linScale + (1.0 - isLinear) * expScale; } vec4 sRGB_from_XYZ_D65(vec4 c) { return vec4(sRGBGamma(LINEAR_SRGB_FROM_XYZ_D65 * c.xyz), c.a); } vec4 sRGB_from_XYZ_D50(vec4 c) { return vec4(sRGBGamma(LINEAR_SRGB_FROM_XYZ_D65 * c.xyz), c.a); } vec3 XYZ_from_xyY(vec3 c) { float Y = c.z; return vec3( Y / c.y * c.x, Y, Y / c.y * (1.0 - c.x - c.y)); } vec3 xyY_from_XYZ(vec3 c) { float sum = c.x + c.y + c.z; return vec3( c.x / sum, c.y / sum, c.y ); } `, lab: ` // http://www.brucelindbloom.com/index.html?Eqn_ChromAdapt.html // http://www.brucelindbloom.com/index.html?Eqn_Lab_to_XYZ.html // http://www.brucelindbloom.com/index.html?Eqn_Luv_to_XYZ.html // https://en.wikipedia.org/wiki/CIELAB_color_space // https://en.wikipedia.org/wiki/CIELUV const float CIE_DELTA = 6.0 / 29.0; const float CIE_DELTA_SQ_X3 = 3.0 * CIE_DELTA * CIE_DELTA; const float CIE_DELTA_CU = CIE_DELTA * CIE_DELTA * CIE_DELTA; vec3 Lab_from_XYZ(vec3 c, vec3 whitePoint) { vec3 t = c / whitePoint; vec3 fPoly = pow(t, vec3(1.0/3.0)); vec3 fLinear = t / CIE_DELTA_SQ_X3 + 4.0 / 29.0; vec3 isLinear = step(-CIE_DELTA_CU, -t); vec3 f = isLinear * fLinear + (1.0 - isLinear) * fPoly; return vec3( 116.0 * f.y - 16.0, 500.0 * (f.x - f.y), 200.0 * (f.y - f.z) ); } vec3 XYZ_from_Lab(vec3 c, vec3 whitePoint) { float L = c.x; float a = c.y; float b = c.z; float tL = (L + 16.0) / 116.0; vec3 t = vec3( tL + a / 500.0, tL, tL - b / 200.0 ); vec3 fPoly = t * t * t; vec3 fLinear = CIE_DELTA_SQ_X3 * (t - 4.0 / 29.0); vec3 isLinear = step(-CIE_DELTA, -t); vec3 f = isLinear * fLinear + (1.0 - isLinear) * fPoly; return f * whitePoint; } vec2 _uv_raw_from_XYZ(vec3 c) { float denom = c.x + 15.0 * c.y + 3.0 * c.z; return vec2( 4.0 * c.x / denom, 9.0 * c.y / denom ); } vec3 Luv_from_XYZ(vec3 c, vec3 whitePoint) { // L is the same as in Lab. Not worth rewriting, even // if it involves a few throwaway steps. float L = Lab_from_XYZ(c, whitePoint).x; vec2 uvRaw0 = _uv_raw_from_XYZ(whitePoint); vec2 uvRaw1 = _uv_raw_from_XYZ(c); vec2 uv = 13.0 * L * (uvRaw1 - uvRaw0); return vec3(L, uv); } vec3 XYZ_from_Luv(vec3 c, vec3 whitePoint) { float L = c.x; vec2 uvRaw0 = _uv_raw_from_XYZ(whitePoint); vec2 uvRaw = c.yz / (13.0 * L) + uvRaw0; // L is the same as in Lab. Not worth rewriting, even // if it involves a few throwaway steps. float Y = XYZ_from_Lab(vec3(L, 0, 0), whitePoint).y; return Y * vec3( 9.0 * uvRaw.x / (4.0 * uvRaw.y), 1.0, (12.0 - 3.0 * uvRaw.x - 20.0 * uvRaw.y) / (4.0 * uvRaw.y) ); } `, hsl: ` // Adapted from https://en.wikipedia.org/wiki/HSL_and_HSV const float PI = 3.14159274101; float _hsl_ramp(float offset, float h, float sl, float l) { float k = mod(offset + h * 6.0 / PI, 12.0); return l - sl * clamp(min(k - 3.0, 9.0 - k), -1.0, 1.0); } // rgb_from_hsl(vec4(h, s, l, a)) => vec4(r, g, b, a) // where h is in radians and all other components are from 0.0 - 1.0 vec4 rgb_from_hsl(vec4 c) { float h = c.x; float s = clamp(c.y, 0.0, 1.0); float l = clamp(c.z, 0.0, 1.0); float sl = s * min(l, 1.0 - l); return vec4( _hsl_ramp(0.0, h, sl, l), _hsl_ramp(8.0, h, sl, l), _hsl_ramp(4.0, h, sl, l), c.a); } `, })35:T78f,function chromaticityDiagram(options) { const domain = options.domain || [0, 1]; const uniformNames = options.uniformNames || []; const {xLabel, yLabel, posFromXyz, rgbFromPos} = options; const canvas = DOM.canvas(diagramSize, diagramSize); const regl = createREGL({ canvas, optionalExtensions: ['OES_standard_derivatives'], }); const drawChroma = drawCartesianPlot(regl, { x: domain, y: domain, uniformNames: uniformNames.concat('maskOOG', 'accurateGradients', 'lineWidth', 'aaWidth'), frag: ` #extension GL_OES_standard_derivatives : enable precision highp float; ${rgbFromPos} uniform bool maskOOG; const float aaWidth = 1.5; const float lineWidth = 1.0; varying vec2 position; float gamutBoundary(vec3 c, vec3 gradient) { vec3 c0 = maskOOG ? c : abs(c); vec3 b = aaWidth == 0.0 ? 1.0 - step(gradient * lineWidth, c0) : 1.0 - smoothstep(gradient * lineWidth, gradient * (lineWidth + aaWidth), c0); return max(max(b.x, b.y), b.z); } vec4 annotateChromaticity(vec3 rgb) { vec3 gradientLength = fwidth(rgb + 1.0); vec3 blended = rgb; blended = mix(blended, vec3(0.5), gamutBoundary(1.0 - rgb, gradientLength)); blended = mix(blended, vec3(0.5), gamutBoundary(rgb, gradientLength)); return vec4(blended, 1.0); } void main() { vec3 rgb = sRGBGamma(RGB_from_pos(position.xy)); gl_FragColor = annotateChromaticity(rgb); } `, }); const drawSpect = drawSpectralLocus(regl, { x: domain, y: domain, posFromXyz, }); const container = wrapWithAxes( canvas, { label: xLabel, domain, }, { label: yLabel, domain, }, ); container.value = { draw(params) { drawChroma(params); drawSpect(); } }; return container; }36:Tb4d7,standardObserversCsv = ({ // Taken from http://cvrl.ioo.ucl.ac.uk/cmfs.htm twoDegree: `lambda,x,y,z 360,0.000129900000,0.000003917000,0.000606100000 361,0.000145847000,0.000004393581,0.000680879200 362,0.000163802100,0.000004929604,0.000765145600 363,0.000184003700,0.000005532136,0.000860012400 364,0.000206690200,0.000006208245,0.000966592800 365,0.000232100000,0.000006965000,0.001086000000 366,0.000260728000,0.000007813219,0.001220586000 367,0.000293075000,0.000008767336,0.001372729000 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796,0.000012075000,0.000004820600,0.000000000000 797,0.000011345000,0.000004531200,0.000000000000 798,0.000010659000,0.000004259100,0.000000000000 799,0.000010017000,0.000004004200,0.000000000000 800,0.000009413630,0.000003764730,0.000000000000 801,0.000008847900,0.000003539950,0.000000000000 802,0.000008317100,0.000003329140,0.000000000000 803,0.000007819000,0.000003131150,0.000000000000 804,0.000007351600,0.000002945290,0.000000000000 805,0.000006913000,0.000002770810,0.000000000000 806,0.000006501500,0.000002607050,0.000000000000 807,0.000006115300,0.000002453290,0.000000000000 808,0.000005752900,0.000002308940,0.000000000000 809,0.000005412700,0.000002173380,0.000000000000 810,0.000005093470,0.000002046130,0.000000000000 811,0.000004793800,0.000001926620,0.000000000000 812,0.000004512500,0.000001814400,0.000000000000 813,0.000004248300,0.000001708950,0.000000000000 814,0.000004000200,0.000001609880,0.000000000000 815,0.000003767100,0.000001516770,0.000000000000 816,0.000003548000,0.000001429210,0.000000000000 817,0.000003342100,0.000001346860,0.000000000000 818,0.000003148500,0.000001269450,0.000000000000 819,0.000002966500,0.000001196620,0.000000000000 820,0.000002795310,0.000001128090,0.000000000000 821,0.000002634500,0.000001063680,0.000000000000 822,0.000002483400,0.000001003130,0.000000000000 823,0.000002341400,0.000000946220,0.000000000000 824,0.000002207800,0.000000892630,0.000000000000 825,0.000002082000,0.000000842160,0.000000000000 826,0.000001963600,0.000000794640,0.000000000000 827,0.000001851900,0.000000749780,0.000000000000 828,0.000001746500,0.000000707440,0.000000000000 829,0.000001647100,0.000000667480,0.000000000000 830,0.000001553140,0.000000629700,0.000000000000`, })37:T425,function createAxesOverlay(x, y, margin) { const xScale = d3.scaleLinear() .domain(x.domain) .range([0, x.size]); const yScale = d3.scaleLinear() .domain(y.domain) .range([y.size, 0]); const svgElem = svg` `; d3.select(svgElem) .select(".x-axis") .call(d3.axisBottom(xScale)); d3.select(svgElem) .select(".y-axis") .call(d3.axisLeft(yScale)); return svgElem; }38:[] 2f:{"title":"Color spaces","cells":[{"id":0,"value":"$31","pinned":false,"hidden":false,"mode":"ojs"},{"id":232,"value":"$32","pinned":false,"hidden":false,"mode":"ojs"},{"id":1387,"value":"viewof xyYPlot = chromaticityDiagram({\n xLabel: \"x\",\n yLabel: \"y\",\n uniformNames: ['Y'],\n rgbFromPos: `\n uniform float Y;\n\n ${conversionShaders.xyz}\n\n vec3 RGB_from_pos(vec2 pos) {\n vec3 xyz = XYZ_from_xyY(vec3(pos, Y));\n return LINEAR_SRGB_FROM_XYZ_D65 * xyz;\n }\n `,\n posFromXyz: `\n ${conversionShaders.xyz}\n\n vec2 pos_from_XYZ(vec3 c) {\n return xyY_from_XYZ(c).xy;\n }\n `,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":268,"value":"viewof Y = slider({\n title: \"Y\",\n min: 0.0,\n max: 1.0,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":312,"value":"viewof xyYOptions = chromaticityDiagramOptions()","pinned":false,"hidden":false,"mode":"ojs"},{"id":265,"value":"xyYPlot.draw({\n Y,\n ...xyYOptions,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":408,"value":"$33","pinned":false,"hidden":false,"mode":"ojs"},{"id":1286,"value":"md`### Lab`","pinned":false,"hidden":false,"mode":"ojs"},{"id":429,"value":"viewof labPlot = chromaticityDiagram({\n xLabel: \"a*\",\n yLabel: \"b*\",\n domain: [-160, 160],\n uniformNames: ['L'],\n rgbFromPos: `\n uniform float L;\n\n ${conversionShaders.xyz}\n ${conversionShaders.lab}\n\n vec3 RGB_from_pos(vec2 pos) {\n vec3 xyz = XYZ_from_Lab(vec3(L, pos), D50_XYZ);\n return LINEAR_SRGB_FROM_XYZ_D50 * xyz;\n }\n `,\n posFromXyz: `\n ${conversionShaders.xyz}\n ${conversionShaders.lab}\n\n vec2 pos_from_XYZ(vec3 c) {\n return Lab_from_XYZ(c, D50_XYZ).yz;\n }\n `,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":1283,"value":"md`### Luv`","pinned":false,"hidden":false,"mode":"ojs"},{"id":494,"value":"viewof luvPlot = chromaticityDiagram({\n xLabel: \"u*\",\n yLabel: \"v*\",\n domain: [-160, 160],\n uniformNames: ['L'],\n rgbFromPos: `\n uniform float L;\n\n ${conversionShaders.xyz}\n ${conversionShaders.lab}\n\n vec3 RGB_from_pos(vec2 pos) {\n vec3 xyz = XYZ_from_Luv(vec3(L, pos), D50_XYZ);\n return LINEAR_SRGB_FROM_XYZ_D50 * xyz;\n }\n `,\n posFromXyz: `\n ${conversionShaders.xyz}\n ${conversionShaders.lab}\n\n vec2 pos_from_XYZ(vec3 c) {\n return Luv_from_XYZ(c, D50_XYZ).yz;\n }\n `,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":434,"value":"viewof L = slider({\n title: \"L*\",\n min: 0,\n max: 100,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":437,"value":"viewof labOptions = chromaticityDiagramOptions()","pinned":false,"hidden":false,"mode":"ojs"},{"id":441,"value":"labPlot.draw({\n L,\n ...labOptions,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":497,"value":"luvPlot.draw({\n L,\n ...labOptions,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":182,"value":"md`\n## HSL\n\n[HSL](https://en.wikipedia.org/wiki/HSL_and_HSV) is a very simple transformation of RGB designed to make the chrominance and luminance coordinates more orthogonal, but within the limitations of televisions in the 1940s and computers in the 1980s. Comparing this to the color spaces above, it should be clear why HSL is a terrible choice for any application where constant luminance or accurate color differences matter.\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":94,"value":"viewof huePlot = {\n const canvas = DOM.canvas(diagramSize, diagramSize);\n const regl = createREGL(canvas);\n \n const container = wrapWithAxes(\n canvas,\n {label: \"H\", domain: [0, 2 * Math.PI]},\n {label: \"S\", domain: [0, 1]},\n );\n \n container.value = {\n draw: drawCartesianPlot(regl, {\n x: [0, 2 * Math.PI],\n uniformNames: ['lightness'],\n frag: `\n precision highp float;\n uniform float lightness;\n varying vec2 position;\n\n ${conversionShaders.hsl}\n\n void main() {\n gl_FragColor = rgb_from_hsl(vec4(position.xy, lightness, 1));\n }\n `,\n }),\n };\n\n return container;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":124,"value":"viewof lightness = slider({\n title: \"Lightness\",\n min: 0.0,\n max: 1.0,\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":153,"value":"huePlot.draw({lightness})","pinned":false,"hidden":false,"mode":"ojs"},{"id":174,"value":"md`## Appendix`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1088,"value":"$34","pinned":false,"hidden":false,"mode":"ojs"},{"id":755,"value":"diagramSize = Math.min(512, width)","pinned":false,"hidden":false,"mode":"ojs"},{"id":1384,"value":"$35","pinned":false,"hidden":false,"mode":"ojs"},{"id":458,"value":"function chromaticityDiagramOptions() {\n return form(html``)\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1331,"value":"md`### Spectral locus`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1116,"value":"$36","pinned":false,"hidden":false,"mode":"ojs"},{"id":1162,"value":"function parseStandardObserverCsv(csv) {\n return d3Dsv.csvParse(csv, d => ({\n lambda: +d.lambda,\n x: +d.x,\n y: +d.y,\n z: +d.z,\n }));\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1122,"value":"standardObservers = ({\n twoDegree: parseStandardObserverCsv(standardObserversCsv.twoDegree),\n tenDegree: parseStandardObserverCsv(standardObserversCsv.tenDegree),\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":1134,"value":"function drawSpectralLocus(regl, options) {\n const [x0, x1] = options.x || [0, 1];\n const [y0, y1] = options.y || [0, 1];\n const standardObserver = options.standardObserver || standardObservers.twoDegree;\n const {posFromXyz} = options;\n \n return regl({\n primitive: 'line strip',\n count: standardObserver.length,\n depth: {enable: false},\n uniforms: {\n domainMin: [x0, y0],\n domainSize: [x1 - x0, y1 - y0],\n },\n attributes: {\n xyzValues: [].concat(...standardObserver.map(d => [d.x, d.y, d.z])),\n },\n vert: `\n precision highp float;\n\n uniform vec2 domainMin;\n uniform vec2 domainSize;\n attribute vec3 xyzValues;\n\n ${posFromXyz}\n\n void main() {\n vec2 pos = pos_from_XYZ(xyzValues);\n gl_Position = vec4(2.0 * (pos - domainMin) / domainSize - 1.0, 0, 1);\n }\n `,\n frag: `\n void main() {\n gl_FragColor = vec4(0, 0, 0, 1);\n }\n `,\n });\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1325,"value":"md`### Basic plotting`","pinned":false,"hidden":false,"mode":"ojs"},{"id":215,"value":"function drawCartesianPlot(regl, options) {\n const [x0, x1] = options.x || [0, 1];\n const [y0, y1] = options.y || [0, 1];\n \n const uniforms = {};\n const uniformNames = options.uniformNames || [];\n for (const param of uniformNames) {\n uniforms[param] = regl.prop(param);\n }\n \n const draw = regl({\n count: 6,\n uniforms,\n attributes: {\n userPositionVertex: [\n [x0, y0],\n [x0, y1],\n [x1, y0],\n\n [x0, y1],\n [x1, y0],\n [x1, y1],\n ],\n clipPositionVertex: [\n [-1, -1],\n [-1, 1],\n [ 1, -1],\n\n [-1, 1],\n [ 1, -1],\n [ 1, 1],\n ],\n },\n vert: `\n attribute vec2 userPositionVertex;\n attribute vec2 clipPositionVertex;\n\n varying highp vec2 position;\n\n void main() {\n position = userPositionVertex;\n gl_Position = vec4(clipPositionVertex, 0, 1);\n }\n `,\n frag: options.frag,\n });\n\n return draw;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1457,"value":"function wrapWithAxes(innerDiagram, x, y) {\n const margin = {\n top: 25,\n bottom: 55,\n left: 55,\n right: 25,\n };\n \n const overlay = createAxesOverlay(\n {...x, size: innerDiagram.width},\n {...y, size: innerDiagram.height},\n margin,\n );\n \n return html`\n

\n ${innerDiagram}\n

\n ${overlay}\n

\n `;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":1433,"value":"$37","pinned":false,"hidden":false,"mode":"ojs"},{"id":1322,"value":"md`### Libraries`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1119,"value":"d3Dsv = require(\"d3-dsv@1\")","pinned":false,"hidden":false,"mode":"ojs"},{"id":125,"value":"import {slider, checkbox} from '@jashkenas/inputs'","pinned":false,"hidden":false,"mode":"ojs"},{"id":387,"value":"import {form} from '@mbostock/form-input';","pinned":false,"hidden":false,"mode":"ojs"},{"id":1427,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs"},{"id":8,"value":"createREGL = require(\"regl\")","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W38","stdlib":"1","titling":"auto"}