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+<!DOCTYPE html>
+<html>
+<head>
+<meta charset="utf-8">
+<title>Space-like elements</title>
+<link rel="stylesheet" type="text/css" href="/fonts/ahem.css" />
+<link rel="help" href="https://w3c.github.io/mathml-core/#definition-of-space-like-elements">
+<link rel="help" href="https://w3c.github.io/mathml-core/#operator-fence-separator-or-accent-mo">
+<link rel="help" href="https://w3c.github.io/mathml-core/#layout-of-mrow">
+<meta name="assert" content="Verify definition of space-like elements">
+<script src="/resources/testharness.js"></script>
+<script src="/resources/testharnessreport.js"></script>
+<script src="/mathml/support/feature-detection.js"></script>
+<script src="/mathml/support/box-navigation.js"></script>
+<style>
+ /* Default spacing of operator 'X' is 0.2777777777777778em so quite different
+ from the measured/specified 0em and 1em. */
+ math, math * {
+ font: 25px/1 Ahem;
+ }
+ mn {
+ color: black;
+ }
+ mo {
+ color: yellow;
+ }
+ .testedElement, .testedElement * {
+ color: blue !important;
+ background: blue !important;
+ }
+ .oof1 {
+ position: absolute;
+ }
+ .oof2 {
+ position: fixed;
+ }
+ .nobox {
+ display: none;
+ }
+</style>
+<script>
+ function spaceBefore(id) {
+ var element = document.getElementById(id);
+ var mnBeforeParent = previousInFlowSibling(element.parentNode);
+ return element.getBoundingClientRect().left - mnBeforeParent.getBoundingClientRect().right;
+ }
+
+ function spaceAfter(id) {
+ var element = document.getElementById(id);
+ var mnAfterParent = nextInFlowSibling(element.parentNode);
+ return mnAfterParent.getBoundingClientRect().left - element.getBoundingClientRect().right;
+ }
+
+ setup({ explicit_done: true });
+ window.addEventListener("load", runTests);
+
+ function runTests() {
+ var epsilon = 1;
+ var emToPx = 25;
+
+ test(function() {
+ assert_true(MathMLFeatureDetection.has_operator_spacing());
+ assert_approx_equals(spaceBefore("complex1"), emToPx, epsilon);
+ assert_approx_equals(spaceAfter("complex1"), emToPx, epsilon);
+ }, "complex space-like subtree");
+
+ test(function() {
+ assert_true(MathMLFeatureDetection.has_operator_spacing());
+ assert_approx_equals(spaceBefore("complex1-bis"), emToPx, epsilon);
+ assert_approx_equals(spaceAfter("complex1-bis"), emToPx, epsilon);
+ }, "complex space-like subtree, from in-flow children");
+
+ test(function() {
+ assert_true(MathMLFeatureDetection.has_operator_spacing());
+ assert_approx_equals(spaceBefore("complex2"), 0, epsilon);
+ assert_approx_equals(spaceAfter("complex2"), 2 * emToPx, epsilon);
+ }, "complex non-space-like subtree");
+
+ test(function() {
+ assert_true(MathMLFeatureDetection.has_operator_spacing());
+ assert_approx_equals(spaceBefore("complex2-bis"), 0, epsilon);
+ assert_approx_equals(spaceAfter("complex2-bis"), 2 * emToPx, epsilon);
+ }, "complex non-space-like subtree, from in-flow children");
+
+ done();
+ }
+</script>
+</head>
+<body>
+ <div id="log"></div>
+ <p>
+ <math>
+ <mn>X</mn>
+ <mrow>
+ <!-- This element is space-like because it is made of nested
+ mrow, mstyle, mpadded, mphantom, mtext, mspace
+ -->
+ <mrow class="testedElement" id="complex1">
+ <mtext>X</mtext>
+ <mstyle>
+ <mstyle>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ </mstyle>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mpadded>
+ <mtext>X</mtext>
+ <mrow></mrow>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mphantom>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mrow>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ </mrow>
+ <mspace width="25px"></mspace>
+ </mpadded>
+ <mspace width="25px"></mspace>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mpadded>
+ <mphantom>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mphantom>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mpadded>
+ </mstyle>
+ <mspace width="25px"></mspace>
+ </mrow>
+ <mo lspace="1em" rspace="0em">X</mo>
+ </mrow>
+ <mn>X</mn>
+ </math>
+ </p>
+ <p>
+ <math>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mn>X</mn>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow>
+ <!-- This element is space-like because it is made of nested
+ mrow, mstyle, mpadded, mphantom, mtext, mspace
+ -->
+ <mrow class="testedElement" id="complex1-bis">
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow></mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mo lspace="1em" rspace="0em">X</mo>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mn>X</mn>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </math>
+ </p>
+ <p>
+ <math>
+ <mn>X</mn>
+ <mrow>
+ <!-- This element is not space-like. It is made of nested
+ mrow, mstyle, mpadded, mphantom, mtext, mspace but contains
+ one non-space like descendant (an mn element).
+ -->
+ <mrow class="testedElement" id="complex2">
+ <mtext>X</mtext>
+ <mstyle>
+ <mstyle>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ </mstyle>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mpadded>
+ <mtext>X</mtext>
+ <mrow></mrow>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mphantom>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mrow>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ </mrow>
+ <mspace width="25px"></mspace>
+ </mpadded>
+ <mspace width="25px"></mspace>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mpadded>
+ <mphantom>
+ <mn>X</mn> <!-- mn is not space-like -->
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ <mphantom>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mphantom>
+ <mtext>X</mtext>
+ <mtext>X</mtext>
+ <mspace width="25px"></mspace>
+ </mpadded>
+ </mstyle>
+ <mspace width="25px"></mspace>
+ </mrow>
+ <mo lspace="1em" rspace="0em">X</mo>
+ </mrow>
+ <mn>X</mn>
+ </math>
+ </p>
+ <p>
+ <math>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mn>X</mn>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow>
+ <!-- This element is not space-like. It is made of nested
+ mrow, mstyle, mpadded, mphantom, mtext, mspace but contains
+ one non-space like descendant (an mn element).
+ -->
+ <mrow class="testedElement" id="complex2-bis">
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow></mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mn>X</mn> <!-- mn is not space-like -->
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mphantom>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mtext>X</mtext>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mpadded>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mstyle>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mspace width="25px"></mspace>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mo lspace="1em" rspace="0em">X</mo>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </mrow>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ <mn>X</mn>
+ <mn class="oof1">0</mn><mn class="oof2">1</mn><mn class="nobox">2</mn>
+ </math>
+ </p>
+</body>
+</html>
generated by cgit v1.2.3 (git 2.39.1) at 2024-07-02 20:00:52 +0000