mo-axis-height-1.html

<!DOCTYPE html>

<html>

<head>

<meta charset="utf-8">

<title>mo axis height</title>

<link rel="help" href="https://w3c.github.io/mathml-core/#operator-fence-separator-or-accent-mo">

<meta name="assert" content="Element mo correctly uses the axis height parameter from the MATH table.">

<script src="/resources/testharness.js"></script>

<script src="/resources/testharnessreport.js"></script>

<script src="/mathml/support/fonts.js"></script>

<style>

  math, mspace {

    font-size: 10px;

  @font-face {

    font-family: axisheight5000-verticalarrow14000;

    src: url("/fonts/math/axisheight5000-verticalarrow14000.woff");

</style>

<script>

  var emToPx = 10 / 1000; // font-size: 10px, font.em = 1000

  var epsilon = 5;

  function getBox(aId) {

    return document.getElementById(aId).getBoundingClientRect();

  setup({ explicit_done: true });

  window.addEventListener("load", () => { loadAllFonts().then(runTests); });

  function runTests() {

    const AxisHeight = 5000 * emToPx;

    test(function() {

      var moMiddle = (getBox("mo1").bottom + getBox("mo1").top) / 2;

      assert_approx_equals(getBox("mo1").height,

                           14000 * emToPx, epsilon, "mo: size");

      assert_approx_equals(getBox("baseline1").bottom - moMiddle,

                           AxisHeight, epsilon, "mo: axis height");

    }, "symmetric stretching with respect to the math axis (size variant)");

    test(function() {

      var moMiddle = (getBox("mo2").bottom + getBox("mo2").top) / 2;

      assert_approx_equals(getBox("mo2").height,

                           2 * (getBox("target2").height - AxisHeight),

                           epsilon, "mo: size");

      assert_approx_equals(getBox("baseline2").bottom - moMiddle,

                           AxisHeight, epsilon, "mo: axis height");

    }, "symmetric stretching with respect to the math axis (glyph assembly)");

    test(function() {

      const minsize = 14000 * emToPx;

      const Tascent = minsize / 2 + AxisHeight;

      const Tdescent = minsize - Tascent;

      assert_approx_equals(getBox("baseline3").bottom - getBox("mo3").top, Tascent, epsilon, "mo ascent");

      assert_approx_equals(getBox("mo3").bottom - getBox("baseline3").bottom, Tdescent, epsilon, "mo descent");

    }, "Tascent = Tdescent = 0, minsize = 14em");

    test(function() {

      const minsize = 14000 * emToPx;

      var Tascent = getBox("baseline4").bottom - getBox("target4").top;

      assert_greater_than(Tascent, AxisHeight);

      var Tdescent = getBox("target4").bottom - getBox("baseline4").bottom;

      const T = Tascent + Tdescent;

      Tascent = Math.max(0, Tascent - AxisHeight) * minsize / T + AxisHeight;

      Tdescent = minsize - Tascent;

      assert_approx_equals(getBox("baseline4").bottom - getBox("mo4").top, Tascent, epsilon, "mo ascent");

      assert_approx_equals(getBox("mo4").bottom - getBox("baseline4").bottom, Tdescent, epsilon, "mo descent");

    }, "Tascent = 6em > AxisHeight, Tdescent = 1em, symmetric = false, minsize = 14em");

    test(function() {

      const minsize = 14000 * emToPx;

      var Tascent = getBox("baseline5").bottom - getBox("target5").top;

      assert_less_than(Tascent, AxisHeight);

      var Tdescent = getBox("target5").bottom - getBox("baseline5").bottom;

      const T = Tascent + Tdescent;

      Tascent = Math.max(0, Tascent - AxisHeight) * minsize / T + AxisHeight;

      Tdescent = minsize - Tascent;

      assert_approx_equals(getBox("baseline5").bottom - getBox("mo5").top, Tascent, epsilon, "mo ascent");

      assert_approx_equals(getBox("mo5").bottom - getBox("baseline5").bottom, Tdescent, epsilon, "mo descent");

    }, "Tascent = 4em < AxisHeight, Tdescent = 3em, symmetric = false, minsize = 14em");

    test(function() {

      const maxsize = 14000 * emToPx;

      var Tascent = getBox("baseline6").bottom - getBox("target6").top;

      assert_greater_than(Tascent, AxisHeight);

      var Tdescent = getBox("target6").bottom - getBox("baseline6").bottom;

      const T = Tascent + Tdescent;

      Tascent = Math.max(0, Tascent - AxisHeight) * maxsize / T + AxisHeight;

      Tdescent = maxsize - Tascent;

      assert_approx_equals(getBox("baseline6").bottom - getBox("mo6").top, Tascent, epsilon, "mo ascent");

      assert_approx_equals(getBox("mo6").bottom - getBox("baseline6").bottom, Tdescent, epsilon, "mo descent");

    }, "Tascent = 6em > AxisHeight, Tdescent = 22em, symmetric = false, maxsize = 14em");

    test(function() {

      const maxsize = 14000 * emToPx;

      var Tascent = getBox("baseline7").bottom - getBox("target7").top;

      assert_less_than(Tascent, AxisHeight);

      var Tdescent = getBox("target7").bottom - getBox("baseline7").bottom;

      var T = Tascent + Tdescent;

      Tascent = Math.max(0, Tascent - AxisHeight) * maxsize / T + AxisHeight;

      Tdescent = maxsize - Tascent;

      assert_approx_equals(getBox("baseline7").bottom - getBox("mo7").top, Tascent, epsilon, "mo ascent");

      assert_approx_equals(getBox("mo7").bottom - getBox("baseline7").bottom, Tdescent, epsilon, "mo descent");

    }, "Tascent = 4em < AxisHeight, Tdescent = 24em, symmetric = false, maxsize = 14em");

    test(function() {

      const minsize = 14000 * emToPx;

      const Uascent = getBox("baseline8").bottom - getBox("target8").top;

      const Udescent = getBox("target8").bottom - getBox("baseline8").bottom;

      assert_less_than(2 * Math.max(Uascent - AxisHeight, Udescent + AxisHeight), minsize, "Sascent + Sdescent < minsize");

      assert_approx_equals(getBox("mo8").height, minsize, epsilon, "mo size");

      const MathAxis = getBox("baseline8").bottom - AxisHeight;

      assert_approx_equals(MathAxis - getBox("mo8").top, getBox("mo8").bottom - MathAxis, epsilon, "mo is symmetric");

    }, "symmetric stretching with respect to the math axis (minsize = 14em)");

    test(function() {

      const maxsize = 14000 * emToPx;

      const Uascent = getBox("baseline9").bottom - getBox("target9").top;

      const Udescent = getBox("target9").bottom - getBox("baseline9").bottom;

      assert_greater_than(2 * Math.max(Uascent - AxisHeight, Udescent + AxisHeight), maxsize, "Sascent + Sdescent > maxsize");

      assert_approx_equals(getBox("mo9").height, maxsize, epsilon, "mo size");

      const MathAxis = getBox("baseline9").bottom - AxisHeight;

      assert_approx_equals(MathAxis - getBox("mo9").top, getBox("mo9").bottom - MathAxis, epsilon, "mo is symmetric");

    }, "symmetric stretching with respect to the math axis (maxsize = 14em)");

    done();

</script>

</head>

<body>

  <div id="log"></div>

<p>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline1" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo1" symmetric="true" style="color: green">&#x21A8;</mo>

        <mpadded style="background: gray" width="10px" height="50px"><mn>1</mn></mpadded>

      </mrow>

    </math>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline2" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo2" symmetric="true" style="color: green">&#x21A8;</mo>

        <mpadded id="target2" style="background: gray" width="10px" height="200px"><mn>2</mn></mpadded>

      </mrow>

    </math>

  </p>

<p>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline3" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo3" minsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target3" style="background: gray" width="10px" height="0px" depth="0px"><mn>3</mn></mpadded>

      </mrow>

    </math>

  </p>

<p>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline4" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo4" minsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target4" style="background: gray" width="10px" height="6em" depth="1em"><mn>4</mn></mpadded>

      </mrow>

    </math>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline5" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo5" minsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target5" style="background: gray" width="10px" height="4em" depth="3em"><mn>5</mn></mpadded>

      </mrow>

    </math>

  </p>

<p>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline6" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo6" maxsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target6" style="background: gray" width="10px" height="6em" depth="22em"><mn>6</mn></mpadded>

      </mrow>

    </math>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline7" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo7" maxsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target7" style="background: gray" width="10px" height="4em" depth="24em"><mn>7</mn></mpadded>

      </mrow>

    </math>

  </p>

<p>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline8" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo8" symmetric="true" minsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target8" style="background: gray" width="10px" height="6em" depth="1em"><mn>8</mn></mpadded>

      </mrow>

    </math>

    <math style="font-family: axisheight5000-verticalarrow14000;">

      <mspace id="baseline9" style="background: blue" width="50px" height="1px"/>

      <mpadded voffset="50px"><mspace style="background: cyan" width="50px" height="1px"/></mpadded>

      <mrow>

        <mo id="mo9" symmetric="true" maxsize="14em" style="color: green">&#x21A8;</mo>

        <mpadded id="target9" style="background: gray" width="10px" height="6em" depth="24em"><mn>9</mn></mpadded>

      </mrow>

    </math>

  </p>

</body>

</html>

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