OLD | NEW |
(Empty) | |
| 1 <!DOCTYPE html> |
| 2 <html> |
| 3 <head> |
| 4 <meta charset="utf-8"> |
| 5 <title>Fraction</title> |
| 6 <link rel="help" href="http://www.mathml-association.org/MathMLinHTML5/S3.html#S
S3.SSS2"> |
| 7 <meta name="assert" content="Verify fraction metrics for different sizes of nume
rator and denominator."> |
| 8 <script src="/resources/testharness.js"></script> |
| 9 <script src="/resources/testharnessreport.js"></script> |
| 10 <style> |
| 11 math, mspace { |
| 12 font-size: 10px; |
| 13 } |
| 14 </style> |
| 15 <script> |
| 16 /* This test does not use any specific fonts and so the exact rules are not |
| 17 specified precisely. We assume reasonable values for numerator/denominator |
| 18 shifts and spacing. */ |
| 19 |
| 20 function getBox(aId) { |
| 21 var box = document.getElementById(aId).getBoundingClientRect(); |
| 22 box.middle = (box.bottom + box.top) / 2; |
| 23 box.center = (box.left + box.right) / 2; |
| 24 return box; |
| 25 } |
| 26 |
| 27 function getFractionAxis(aId) { |
| 28 return (getBox(aId).top * den.height + getBox(aId).bottom * num.height) / (n
um.height + den.height); |
| 29 } |
| 30 |
| 31 setup({ explicit_done: true }); |
| 32 window.addEventListener("load", runTests); |
| 33 |
| 34 function runTests() { |
| 35 test(function() { |
| 36 var e = 3; |
| 37 var mathAxis = getBox("axis").middle; |
| 38 // For stacks, nothing in the OpenType MATH specification seems to ensure |
| 39 // that the gap is split symmetrically around the math axis so we only |
| 40 // do the following verification for standard fractions. |
| 41 for (var i = 0; i <= 4; i++) { |
| 42 var frac = getBox("frac" + i); |
| 43 var num = getBox("frac" + i + "num"); |
| 44 var den = getBox("frac" + i + "den"); |
| 45 // To estimate the fraction axis, we calculate barycenter between the |
| 46 // top and bottom of the fraction, using the heights of numerator and |
| 47 // denominator as weights. |
| 48 var fracAxis = (frac.top * den.height + frac.bottom * num.height) / (num
.height + den.height); |
| 49 assert_approx_equals(fracAxis, mathAxis, e, "frac" + i + " fraction bar"
); |
| 50 } |
| 51 }, "Fraction axis is aligned on the math axis"); |
| 52 |
| 53 test(function() { |
| 54 for (var i = 0; i < 10; i++) { |
| 55 assert_less_than(getBox("frac" + i + "num").bottom, getBox("frac" + i +
"den").top, "numerator is above denominator"); |
| 56 assert_less_than(getBox("frac" + i + "den").top - getBox("frac" + i + "n
um").bottom, 5, "The gap between numerator and denominator is not too large"); |
| 57 } |
| 58 }, "Vertical positions of numerator and denominator"); |
| 59 |
| 60 test(function() { |
| 61 var e = 3; |
| 62 for (var i = 0; i < 10; i++) |
| 63 assert_approx_equals(getBox("frac" + i + "num").center, getBox("frac" +
i + "den").center, e, "numerator and denominator are horizontally centered"); |
| 64 }, "Horizontal alignments of numerator and denominator"); |
| 65 |
| 66 test(function() { |
| 67 var e = 5; |
| 68 for (var i = 0; i < 10; i++) { |
| 69 var frac = getBox("frac" + i); |
| 70 var num = getBox("frac" + i + "num"); |
| 71 var den = getBox("frac" + i + "den"); |
| 72 assert_approx_equals(frac.height, den.bottom - num.top, e, "height of fr
ac " + i + " is determined by the bottom/top sides of the denominator/numerator"
); |
| 73 assert_approx_equals(frac.width, Math.max(num.right, den.right) - Math.m
in(num.left, den.left), e, "width of frac " + i + " is determined by the left/ri
ght sides of the denominator/numerator (plus some spacing)"); |
| 74 } |
| 75 }, "Dimension of mfrac elements"); |
| 76 |
| 77 done(); |
| 78 } |
| 79 </script> |
| 80 </head> |
| 81 <body> |
| 82 <p> |
| 83 <math> |
| 84 <mo id="axis">−</mo> |
| 85 <mfrac id="frac0"> |
| 86 <mspace id="frac0num" width="15px" height="15px" mathbackground="blue"/> |
| 87 <mspace id="frac0den" width="15px" height="15px" mathbackground="green"/
> |
| 88 </mfrac> |
| 89 <mfrac id="frac1"> |
| 90 <mspace id="frac1num" width="30px" height="15px" mathbackground="blue"/> |
| 91 <mspace id="frac1den" width="15px" height="15px" mathbackground="green"/
> |
| 92 </mfrac> |
| 93 <mfrac id="frac2"> |
| 94 <mspace id="frac2num" width="15px" height="15px" mathbackground="blue"/> |
| 95 <mspace id="frac2den" width="30px" height="15px" mathbackground="green"/
> |
| 96 </mfrac> |
| 97 <mfrac id="frac3"> |
| 98 <mspace id="frac3num" width="15px" height="30px" mathbackground="blue"/> |
| 99 <mspace id="frac3den" width="15px" height="15px" mathbackground="green"/
> |
| 100 </mfrac> |
| 101 <mfrac id="frac4"> |
| 102 <mspace id="frac4num" width="15px" height="15px" mathbackground="blue"/> |
| 103 <mspace id="frac4den" width="15px" height="30px" mathbackground="green"/
> |
| 104 </mfrac> |
| 105 <mfrac id="frac5" linethickness="0px"> |
| 106 <mspace id="frac5num" width="15px" height="15px" mathbackground="blue"/> |
| 107 <mspace id="frac5den" width="15px" height="15px" mathbackground="green"/
> |
| 108 </mfrac> |
| 109 <mfrac id="frac6" linethickness="0px"> |
| 110 <mspace id="frac6num" width="30px" height="15px" mathbackground="blue"/> |
| 111 <mspace id="frac6den" width="15px" height="15px" mathbackground="green"/
> |
| 112 </mfrac> |
| 113 <mfrac id="frac7" linethickness="0px"> |
| 114 <mspace id="frac7num" width="15px" height="15px" mathbackground="blue"/> |
| 115 <mspace id="frac7den" width="30px" height="15px" mathbackground="green"/
> |
| 116 </mfrac> |
| 117 <mfrac id="frac8" linethickness="0px"> |
| 118 <mspace id="frac8num" width="15px" height="30px" mathbackground="blue"/> |
| 119 <mspace id="frac8den" width="15px" height="15px" mathbackground="green"/
> |
| 120 </mfrac> |
| 121 <mfrac id="frac9" linethickness="0px"> |
| 122 <mspace id="frac9num" width="15px" height="15px" mathbackground="blue"/> |
| 123 <mspace id="frac9den" width="15px" height="30px" mathbackground="green"/
> |
| 124 </mfrac> |
| 125 </math> |
| 126 </p> |
| 127 <hr/> |
| 128 </body> |
| 129 </html> |
OLD | NEW |