a76f6eb985
Fix the \frac and \overline lines so they actually render at the correct sizes (i.e. don't get smaller when in script and scriptscript sizes). This also seems to fix #33. Test Plan: - Make sure new huxley screenshot look good. - Render \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+...} } } } at small font sizes like 30pt and smaller, see that it looks much better Auditors: alpert
697 lines
22 KiB
JavaScript
697 lines
22 KiB
JavaScript
var Options = require("./Options");
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var ParseError = require("./ParseError");
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var Style = require("./Style");
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var buildCommon = require("./buildCommon");
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var delimiter = require("./delimiter");
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var domTree = require("./domTree");
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var fontMetrics = require("./fontMetrics");
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var parseTree = require("./parseTree");
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var symbols = require("./symbols");
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var utils = require("./utils");
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var makeSpan = buildCommon.makeSpan;
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var buildExpression = function(expression, options, prev) {
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var groups = [];
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for (var i = 0; i < expression.length; i++) {
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var group = expression[i];
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groups.push(buildGroup(group, options, prev));
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prev = group;
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}
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return groups;
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};
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var groupToType = {
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mathord: "mord",
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textord: "mord",
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bin: "mbin",
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rel: "mrel",
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text: "mord",
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open: "mopen",
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close: "mclose",
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frac: "minner",
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spacing: "mord",
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punct: "mpunct",
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ordgroup: "mord",
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namedfn: "mop",
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katex: "mord",
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overline: "mord",
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rule: "mord",
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leftright: "minner",
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sqrt: "mord"
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};
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var getTypeOfGroup = function(group) {
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if (group == null) {
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// Like when typesetting $^3$
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return groupToType.mathord;
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} else if (group.type === "supsub") {
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return getTypeOfGroup(group.value.base);
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} else if (group.type === "llap" || group.type === "rlap") {
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return getTypeOfGroup(group.value);
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} else if (group.type === "color") {
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return getTypeOfGroup(group.value.value);
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} else if (group.type === "sizing") {
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return getTypeOfGroup(group.value.value);
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} else if (group.type === "delimsizing") {
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return groupToType[group.value.delimType];
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} else {
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return groupToType[group.type];
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}
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};
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var isCharacterBox = function(group) {
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if (group == null) {
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return false;
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} else if (group.type === "mathord" ||
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group.type === "textord" ||
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group.type === "bin" ||
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group.type === "rel" ||
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group.type === "open" ||
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group.type === "close" ||
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group.type === "punct") {
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return true;
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} else if (group.type === "ordgroup") {
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return group.value.length === 1 && isCharacterBox(group.value[0]);
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} else {
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return false;
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}
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};
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var groupTypes = {
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mathord: function(group, options, prev) {
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return makeSpan(
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["mord"],
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[buildCommon.mathit(group.value, group.mode)],
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options.getColor()
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);
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},
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textord: function(group, options, prev) {
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return makeSpan(
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["mord"],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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bin: function(group, options, prev) {
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var className = "mbin";
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var prevAtom = prev;
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while (prevAtom && prevAtom.type == "color") {
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var atoms = prevAtom.value.value;
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prevAtom = atoms[atoms.length - 1];
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}
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if (!prev || utils.contains(["mbin", "mopen", "mrel", "mop", "mpunct"],
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getTypeOfGroup(prevAtom))) {
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group.type = "ord";
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className = "mord";
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}
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return makeSpan(
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[className],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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rel: function(group, options, prev) {
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return makeSpan(
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["mrel"],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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text: function(group, options, prev) {
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return makeSpan(["text mord", options.style.cls()],
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buildExpression(group.value.body, options.reset()));
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},
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supsub: function(group, options, prev) {
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var base = buildGroup(group.value.base, options.reset());
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if (group.value.sup) {
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var sup = buildGroup(group.value.sup,
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options.withStyle(options.style.sup()));
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var supmid = makeSpan(
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[options.style.reset(), options.style.sup().cls()], [sup]);
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}
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if (group.value.sub) {
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var sub = buildGroup(group.value.sub,
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options.withStyle(options.style.sub()));
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var submid = makeSpan(
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[options.style.reset(), options.style.sub().cls()], [sub]);
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}
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if (isCharacterBox(group.value.base)) {
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var u = 0;
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var v = 0;
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} else {
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var u = base.height - fontMetrics.metrics.supDrop;
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var v = base.depth + fontMetrics.metrics.subDrop;
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}
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var p;
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if (options.style === Style.DISPLAY) {
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p = fontMetrics.metrics.sup1;
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} else if (options.style.cramped) {
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p = fontMetrics.metrics.sup3;
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} else {
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p = fontMetrics.metrics.sup2;
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}
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var multiplier = Style.TEXT.sizeMultiplier *
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options.style.sizeMultiplier;
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var scriptspace =
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(0.5 / fontMetrics.metrics.ptPerEm) / multiplier + "em";
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var supsub;
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if (!group.value.sup) {
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var fontSizer = buildCommon.makeFontSizer(options, submid.maxFontSize);
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var subwrap = makeSpan(["msub"], [fontSizer, submid]);
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v = Math.max(v, fontMetrics.metrics.sub1,
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sub.height - 0.8 * fontMetrics.metrics.xHeight);
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subwrap.style.top = v + "em";
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subwrap.style.marginRight = scriptspace;
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subwrap.depth = subwrap.depth + v;
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subwrap.height = 0;
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var fixIE = makeSpan(["fix-ie"], [fontSizer, new domTree.textNode("\u00a0")]);
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supsub = makeSpan(["msupsub"], [subwrap, fixIE]);
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} else if (!group.value.sub) {
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var fontSizer = buildCommon.makeFontSizer(options, supmid.maxFontSize);
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var supwrap = makeSpan(["msup"], [fontSizer, supmid]);
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u = Math.max(u, p,
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sup.depth + 0.25 * fontMetrics.metrics.xHeight);
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supwrap.style.top = -u + "em";
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supwrap.style.marginRight = scriptspace;
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supwrap.height = supwrap.height + u;
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supwrap.depth = 0;
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var fixIE = makeSpan(["fix-ie"], [fontSizer, new domTree.textNode("\u00a0")]);
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supsub = makeSpan(["msupsub"], [supwrap, fixIE]);
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} else {
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var fontSizer = buildCommon.makeFontSizer(options,
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Math.max(submid.maxFontSize, supmid.maxFontSize));
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var subwrap = makeSpan(["msub"], [fontSizer, submid]);
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var supwrap = makeSpan(["msup"], [fontSizer, supmid]);
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u = Math.max(u, p,
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sup.depth + 0.25 * fontMetrics.metrics.xHeight);
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v = Math.max(v, fontMetrics.metrics.sub2);
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var theta = fontMetrics.metrics.defaultRuleThickness;
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if ((u - sup.depth) - (sub.height - v) < 4 * theta) {
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v = 4 * theta - (u - sup.depth) + sub.height;
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var psi = 0.8 * fontMetrics.metrics.xHeight - (u - sup.depth);
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if (psi > 0) {
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u += psi;
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v -= psi;
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}
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}
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supwrap.style.top = -u + "em";
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subwrap.style.top = v + "em";
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supwrap.style.marginRight = scriptspace;
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subwrap.style.marginRight = scriptspace;
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supwrap.height = supwrap.height + u;
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supwrap.depth = 0;
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subwrap.height = 0;
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subwrap.depth = subwrap.depth + v;
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var fixIE = makeSpan(["fix-ie"], [fontSizer, new domTree.textNode("\u00a0")]);
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supsub = makeSpan(["msupsub"], [supwrap, subwrap, fixIE]);
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}
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return makeSpan([getTypeOfGroup(group.value.base)],
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[base, supsub]);
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},
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open: function(group, options, prev) {
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return makeSpan(
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["mopen"],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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close: function(group, options, prev) {
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return makeSpan(
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["mclose"],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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frac: function(group, options, prev) {
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var fstyle = options.style;
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if (group.value.size === "dfrac") {
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fstyle = Style.DISPLAY;
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} else if (group.value.size === "tfrac") {
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fstyle = Style.TEXT;
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}
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var nstyle = fstyle.fracNum();
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var dstyle = fstyle.fracDen();
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var numer = buildGroup(group.value.numer, options.withStyle(nstyle));
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var numernumer = makeSpan([fstyle.reset(), nstyle.cls()], [numer]);
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var denom = buildGroup(group.value.denom, options.withStyle(dstyle));
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var denomdenom = makeSpan([fstyle.reset(), dstyle.cls()], [denom])
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var fontSizer = buildCommon.makeFontSizer(options,
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Math.max(numer.maxFontSize, denom.maxFontSize));
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var line = makeSpan([options.style.reset(), Style.TEXT.cls(), "line"]);
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var numerrow = makeSpan(["mfracnum"], [fontSizer, numernumer]);
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var mid = makeSpan(["mfracmid"], [fontSizer, line]);
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var denomrow = makeSpan(["mfracden"], [fontSizer, denomdenom]);
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var theta = fontMetrics.metrics.defaultRuleThickness / options.style.sizeMultiplier;
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var u, v, phi;
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if (fstyle.size === Style.DISPLAY.size) {
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u = fontMetrics.metrics.num1;
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v = fontMetrics.metrics.denom1;
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phi = 3 * theta;
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} else {
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u = fontMetrics.metrics.num2;
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v = fontMetrics.metrics.denom2;
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phi = theta;
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}
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var a = fontMetrics.metrics.axisHeight;
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if ((u - numer.depth) - (a + 0.5 * theta) < phi) {
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u += phi - ((u - numer.depth) - (a + 0.5 * theta));
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}
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if ((a - 0.5 * theta) - (denom.height - v) < phi) {
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v += phi - ((a - 0.5 * theta) - (denom.height - v));
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}
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numerrow.style.top = -u + "em";
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mid.style.top = -(a - 0.5 * theta) + "em";
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denomrow.style.top = v + "em";
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numerrow.height = numerrow.height + u;
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numerrow.depth = 0;
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denomrow.height = 0;
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denomrow.depth = denomrow.depth + v;
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var fixIE = makeSpan(["fix-ie"], [
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fontSizer, new domTree.textNode("\u00a0")]);
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var frac = makeSpan([], [numerrow, mid, denomrow, fixIE]);
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frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
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frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
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var wrap = makeSpan(
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[options.style.reset(), fstyle.cls()], [frac]);
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return makeSpan(["minner"], [
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makeSpan(["mfrac"], [wrap])
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], options.getColor());
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},
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color: function(group, options, prev) {
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var elements = buildExpression(
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group.value.value,
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options.withColor(group.value.color),
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prev
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);
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return new buildCommon.makeFragment(elements);
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},
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spacing: function(group, options, prev) {
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if (group.value === "\\ " || group.value === "\\space" ||
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group.value === " " || group.value === "~") {
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return makeSpan(
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["mord", "mspace"],
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[buildCommon.mathrm(group.value, group.mode)]
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);
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} else {
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var spacingClassMap = {
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"\\qquad": "qquad",
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"\\quad": "quad",
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"\\enspace": "enspace",
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"\\;": "thickspace",
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"\\:": "mediumspace",
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"\\,": "thinspace",
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"\\!": "negativethinspace"
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};
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return makeSpan(
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["mord", "mspace", spacingClassMap[group.value]]);
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}
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},
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llap: function(group, options, prev) {
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var inner = makeSpan(
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["inner"], [buildGroup(group.value.body, options.reset())]);
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var fix = makeSpan(["fix"], []);
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return makeSpan(
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["llap", options.style.cls()], [inner, fix]);
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},
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rlap: function(group, options, prev) {
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var inner = makeSpan(
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["inner"], [buildGroup(group.value.body, options.reset())]);
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var fix = makeSpan(["fix"], []);
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return makeSpan(
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["rlap", options.style.cls()], [inner, fix]);
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},
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punct: function(group, options, prev) {
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return makeSpan(
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["mpunct"],
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[buildCommon.mathrm(group.value, group.mode)],
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options.getColor()
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);
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},
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ordgroup: function(group, options, prev) {
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return makeSpan(
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["mord", options.style.cls()],
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buildExpression(group.value, options.reset())
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);
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},
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namedfn: function(group, options, prev) {
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var chars = [];
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for (var i = 1; i < group.value.body.length; i++) {
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chars.push(buildCommon.mathrm(group.value.body[i], group.mode));
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}
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return makeSpan(["mop"], chars, options.getColor());
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},
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katex: function(group, options, prev) {
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var k = makeSpan(
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["k"], [buildCommon.mathrm("K", group.mode)]);
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var a = makeSpan(
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["a"], [buildCommon.mathrm("A", group.mode)]);
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a.height = (a.height + 0.2) * 0.75;
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a.depth = (a.height - 0.2) * 0.75;
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var t = makeSpan(
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["t"], [buildCommon.mathrm("T", group.mode)]);
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var e = makeSpan(
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["e"], [buildCommon.mathrm("E", group.mode)]);
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e.height = (e.height - 0.2155);
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e.depth = (e.depth + 0.2155);
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var x = makeSpan(
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["x"], [buildCommon.mathrm("X", group.mode)]);
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return makeSpan(
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["katex-logo"], [k, a, t, e, x], options.getColor());
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},
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sqrt: function(group, options, prev) {
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var innerGroup = buildGroup(group.value.body,
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options.withStyle(options.style.cramp()));
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var fontSizer = buildCommon.makeFontSizer(
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options, Math.max(innerGroup.maxFontSize, 1.0));
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// The theta variable in the TeXbook
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var lineWidth = fontMetrics.metrics.defaultRuleThickness;
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var lineInner =
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makeSpan([options.style.reset(), Style.TEXT.cls(), "line"]);
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lineInner.maxFontSize = 1.0;
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var line = makeSpan(["sqrt-line"], [fontSizer, lineInner]);
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var inner = makeSpan(["sqrt-inner"], [fontSizer, innerGroup]);
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var fixIE = makeSpan(
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["fix-ie"], [fontSizer, new domTree.textNode("\u00a0")]);
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var theta = fontMetrics.metrics.defaultRuleThickness /
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options.style.sizeMultiplier;
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var phi = theta;
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if (options.style.id < Style.TEXT.id) {
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phi = fontMetrics.metrics.xHeight;
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}
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var psi = theta + phi / 4;
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var innerHeight =
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(inner.height + inner.depth) * options.style.sizeMultiplier;
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var minDelimiterHeight = innerHeight + psi + theta;
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var delim = makeSpan(["sqrt-sign"], [
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delimiter.customSizedDelim("\\surd", minDelimiterHeight,
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false, options, group.mode)]);
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var delimDepth = delim.height + delim.depth;
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if (delimDepth > inner.height + inner.depth + psi) {
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psi = (psi + delimDepth - inner.height - inner.depth) / 2;
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}
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delim.style.top = (-inner.height - psi + delim.height - theta) + "em";
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line.style.top = (-inner.height - psi) + "em";
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line.height = inner.height + psi + 2 * theta;
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// We add a special case here, because even when `inner` is empty, we
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// still get a line. So, we use a simple heuristic to decide if we
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// should omit the body entirely. (note this doesn't work for something
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// like `\sqrt{\rlap{x}}`, but if someone is doing that they deserve for
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// it not to work.
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var body;
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if (inner.height === 0 && inner.depth === 0) {
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body = makeSpan();
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} else {
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body = makeSpan(["sqrt-body"], [line, inner, fixIE]);
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}
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return makeSpan(["sqrt", "mord"], [delim, body]);
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},
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overline: function(group, options, prev) {
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var innerGroup = buildGroup(group.value.body,
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options.withStyle(options.style.cramp()));
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var fontSizer = buildCommon.makeFontSizer(options, innerGroup.maxFontSize);
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// The theta variable in the TeXbook
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var lineWidth = fontMetrics.metrics.defaultRuleThickness /
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options.style.sizeMultiplier;
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var line = makeSpan(
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["overline-line"], [fontSizer, makeSpan([options.style.reset(), Style.TEXT.cls(), "line"])]);
|
|
var inner = makeSpan(["overline-inner"], [fontSizer, innerGroup]);
|
|
var fixIE = makeSpan(
|
|
["fix-ie"], [fontSizer, new domTree.textNode("\u00a0")]);
|
|
|
|
line.style.top = (-inner.height - 3 * lineWidth) + "em";
|
|
// The line is supposed to have 1 extra line width above it in height
|
|
// (TeXbook pg. 443, nr. 9)
|
|
line.height = inner.height + 5 * lineWidth;
|
|
|
|
return makeSpan(["overline", "mord"], [
|
|
line, inner, fixIE
|
|
], options.getColor());
|
|
},
|
|
|
|
sizing: function(group, options, prev) {
|
|
var inner = buildExpression(group.value.value,
|
|
options.withSize(group.value.size), prev);
|
|
|
|
var span = makeSpan(["mord"],
|
|
[makeSpan(["sizing", "reset-" + options.size, group.value.size,
|
|
options.style.cls()],
|
|
inner)]);
|
|
|
|
var sizeToFontSize = {
|
|
"size1": 0.5,
|
|
"size2": 0.7,
|
|
"size3": 0.8,
|
|
"size4": 0.9,
|
|
"size5": 1.0,
|
|
"size6": 1.2,
|
|
"size7": 1.44,
|
|
"size8": 1.73,
|
|
"size9": 2.07,
|
|
"size10": 2.49
|
|
};
|
|
|
|
var fontSize = sizeToFontSize[group.value.size];
|
|
span.maxFontSize = fontSize * options.style.sizeMultiplier;
|
|
|
|
return span;
|
|
},
|
|
|
|
delimsizing: function(group, options, prev) {
|
|
var delim = group.value.value;
|
|
|
|
if (delim === ".") {
|
|
return makeSpan([groupToType[group.value.delimType]]);
|
|
}
|
|
|
|
return makeSpan(
|
|
[groupToType[group.value.delimType]],
|
|
[delimiter.sizedDelim(
|
|
delim, group.value.size, options, group.mode)]);
|
|
},
|
|
|
|
leftright: function(group, options, prev) {
|
|
var inner = buildExpression(group.value.body, options.reset());
|
|
|
|
var innerHeight = 0;
|
|
var innerDepth = 0;
|
|
|
|
for (var i = 0; i < inner.length; i++) {
|
|
innerHeight = Math.max(inner[i].height, innerHeight);
|
|
innerDepth = Math.max(inner[i].depth, innerDepth);
|
|
}
|
|
|
|
innerHeight *= options.style.sizeMultiplier;
|
|
innerDepth *= options.style.sizeMultiplier;
|
|
|
|
var leftDelim;
|
|
if (group.value.left === ".") {
|
|
leftDelim = makeSpan(["nulldelimiter"]);
|
|
} else {
|
|
leftDelim = delimiter.leftRightDelim(
|
|
group.value.left, innerHeight, innerDepth, options,
|
|
group.mode);
|
|
}
|
|
inner.unshift(leftDelim);
|
|
|
|
var rightDelim;
|
|
if (group.value.right === ".") {
|
|
rightDelim = makeSpan(["nulldelimiter"]);
|
|
} else {
|
|
rightDelim = delimiter.leftRightDelim(
|
|
group.value.right, innerHeight, innerDepth, options,
|
|
group.mode);
|
|
}
|
|
inner.push(rightDelim);
|
|
|
|
return makeSpan(["minner"], inner, options.getColor());
|
|
},
|
|
|
|
rule: function(group, options, prev) {
|
|
// Make an empty span for the rule
|
|
var rule = makeSpan(["mord", "rule"], [], options.getColor());
|
|
|
|
var width = group.value.width.number;
|
|
if (group.value.width.unit === "ex") {
|
|
width *= fontMetrics.metrics.xHeight;
|
|
}
|
|
|
|
var height = group.value.height.number;
|
|
if (group.value.height.unit === "ex") {
|
|
height *= fontMetrics.metrics.xHeight;
|
|
}
|
|
|
|
width /= options.style.sizeMultiplier;
|
|
height /= options.style.sizeMultiplier;
|
|
|
|
// Style the rule to the right size
|
|
rule.style.borderRightWidth = width + "em";
|
|
rule.style.borderTopWidth = height + "em";
|
|
|
|
// Record the height and width
|
|
rule.width = width;
|
|
rule.height = height;
|
|
|
|
return rule;
|
|
}
|
|
};
|
|
|
|
var sizingMultiplier = {
|
|
size1: 0.5,
|
|
size2: 0.7,
|
|
size3: 0.8,
|
|
size4: 0.9,
|
|
size5: 1.0,
|
|
size6: 1.2,
|
|
size7: 1.44,
|
|
size8: 1.73,
|
|
size9: 2.07,
|
|
size10: 2.49
|
|
};
|
|
|
|
var buildGroup = function(group, options, prev) {
|
|
if (!group) {
|
|
return makeSpan();
|
|
}
|
|
|
|
if (groupTypes[group.type]) {
|
|
var groupNode = groupTypes[group.type](group, options, prev);
|
|
|
|
if (options.style !== options.parentStyle) {
|
|
var multiplier = options.style.sizeMultiplier /
|
|
options.parentStyle.sizeMultiplier;
|
|
|
|
groupNode.height *= multiplier;
|
|
groupNode.depth *= multiplier;
|
|
}
|
|
|
|
if (options.size !== options.parentSize) {
|
|
var multiplier = sizingMultiplier[options.size] /
|
|
sizingMultiplier[options.parentSize];
|
|
|
|
groupNode.height *= multiplier;
|
|
groupNode.depth *= multiplier;
|
|
}
|
|
|
|
return groupNode;
|
|
} else {
|
|
throw new ParseError(
|
|
"Got group of unknown type: '" + group.type + "'");
|
|
}
|
|
};
|
|
|
|
var buildTree = function(tree) {
|
|
// Setup the default options
|
|
var options = new Options(Style.TEXT, "size5", "");
|
|
|
|
var expression = buildExpression(tree, options);
|
|
var span = makeSpan(["base", options.style.cls()], expression);
|
|
var topStrut = makeSpan(["strut"]);
|
|
var bottomStrut = makeSpan(["strut", "bottom"]);
|
|
|
|
topStrut.style.height = span.height + "em";
|
|
bottomStrut.style.height = (span.height + span.depth) + "em";
|
|
// We'd like to use `vertical-align: top` but in IE 9 this lowers the
|
|
// baseline of the box to the bottom of this strut (instead staying in the
|
|
// normal place) so we use an absolute value for vertical-align instead
|
|
bottomStrut.style.verticalAlign = -span.depth + "em";
|
|
|
|
var katexNode = makeSpan(["katex"], [
|
|
makeSpan(["katex-inner"], [topStrut, bottomStrut, span])
|
|
]);
|
|
|
|
return katexNode.toDOM();
|
|
};
|
|
|
|
module.exports = buildTree;
|