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author: David Thompson <dthompson2@worcester.edu> 2023-12-28 11:23:49 -0500
committer: David Thompson <dthompson2@worcester.edu> 2023-12-28 11:23:49 -0500
commit: 25c5eac5e6ca1035db1eddd7bea9ac78531da57e (patch)
tree: 96377006bbfee75bcf0ce208c1ef89cbdfa5b803 /manuals/chickadee/Rectangles.html
parent: 5b2e467a7e5e2ffbb0cbbf2557283be891d8206b (diff)
1 files changed, 0 insertions, 330 deletions
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-<title>Rectangles (The Chickadee Game Toolkit)</title>
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-<link href="Math.html" rel="up" title="Math" />
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-</head>
-
-<body lang="en">
-<span id="Rectangles"></span><div class="header">
-<p>
-Next: <a href="Matrices.html" accesskey="n" rel="next">Matrices</a>, Previous: <a href="Vectors.html" accesskey="p" rel="prev">Vectors</a>, Up: <a href="Math.html" accesskey="u" rel="up">Math</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Index.html" title="Index" rel="index">Index</a>]</p>
-</div>
-<hr />
-<span id="Rectangles-1"></span><h4 class="subsection">5.2.3 Rectangles</h4>
-
-<p>The <code>(chickadee math rect)</code> module provides an API for
-manipulating axis-aligned bounding boxes (AABBs).  AABBs are often
-used for collision detection in games.  Common use-cases are defining
-&ldquo;hitboxes&rdquo; in platformers or using them for the &ldquo;broad phase&rdquo; of a
-collision detection algorithm that uses a more complex (and thus
-slower) method of determining the actual collisions.
-</p>
-<p>Like some of the other math modules, there exists a collection of
-functions that do in-place modification of rectangles for use in
-performance critical code paths.
-</p>
-<dl>
-<dt id="index-rect">Procedure: <strong>rect</strong> <em>x y width height</em></dt>
-<dt id="index-make_002drect">Procedure: <strong>make-rect</strong> <em><var>x</var> <var>y</var> <var>width</var> <var>height</var></em></dt>
-<dd><p>Create a new rectangle that is <var>width</var> by <var>height</var> in size and
-whose bottom-left corner is located at (<var>x</var>, <var>y</var>).
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_003f">Procedure: <strong>rect?</strong> <em>obj</em></dt>
-<dd><p>Return <code>#t</code> if <var>obj</var> is a rectangle.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dwithin_003f">Procedure: <strong>rect-within?</strong> <em>rect1 rect2</em></dt>
-<dd><p>Return <code>#t</code> if <var>rect2</var> is completely within <var>rect1</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dintersects_003f">Procedure: <strong>rect-intersects?</strong> <em>rect1 rect2</em></dt>
-<dd><p>Return <code>#t</code> if <var>rect2</var> overlaps <var>rect1</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dcontains_003f">Procedure: <strong>rect-contains?</strong> <em>rect x y</em></dt>
-<dd><p>Return <code>#t</code> if the coordinates (<var>x</var>, <var>y</var>) are within
-<var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dcontains_002dvec2_003f">Procedure: <strong>rect-contains-vec2?</strong> <em>rect v</em></dt>
-<dd><p>Return <code>#t</code> if the 2D vector <var>v</var> is within the bounds of
-<var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dx">Procedure: <strong>rect-x</strong> <em>rect</em></dt>
-<dd><p>Return the X coordinate of the lower-left corner of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dy">Procedure: <strong>rect-y</strong> <em>rect</em></dt>
-<dd><p>Return the Y coordinate of the lower-left corner of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dleft">Procedure: <strong>rect-left</strong> <em>rect</em></dt>
-<dd><p>Return the left-most X coordinate of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dright">Procedure: <strong>rect-right</strong> <em>rect</em></dt>
-<dd><p>Return the right-most X coordinate of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dbottom">Procedure: <strong>rect-bottom</strong> <em>rect</em></dt>
-<dd><p>Return the bottom-most Y coordinate of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dtop">Procedure: <strong>rect-top</strong> <em>rect</em></dt>
-<dd><p>Return the top-most Y coordinate of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dcenter_002dx">Procedure: <strong>rect-center-x</strong> <em>rect</em></dt>
-<dd><p>Return the X coordinate of the center of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dcenter_002dy">Procedure: <strong>rect-center-y</strong> <em>rect</em></dt>
-<dd><p>Return the Y coordinate of the center of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dwidth">Procedure: <strong>rect-width</strong> <em>rect</em></dt>
-<dd><p>Return the width of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dheight">Procedure: <strong>rect-height</strong> <em>rect</em></dt>
-<dd><p>Return the height of <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002darea">Procedure: <strong>rect-area</strong> <em>rect</em></dt>
-<dd><p>Return the surface area covered by <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclamp_002dx">Procedure: <strong>rect-clamp-x</strong> <em>rect x</em></dt>
-<dd><p>Restrict <var>x</var> to the portion of the X axis covered by <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclamp_002dy">Procedure: <strong>rect-clamp-y</strong> <em>rect y</em></dt>
-<dd><p>Restrict <var>y</var> to the portion of the Y axis covered by <var>rect</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclamp">Procedure: <strong>rect-clamp</strong> <em>rect1 rect2</em></dt>
-<dd><p>Return a new rect that adjusts the location of <var>rect1</var> so that it
-is completely within <var>rect2</var>.  An exception is thrown in the case
-that <var>rect1</var> cannot fit completely within <var>rect2</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove">Procedure: <strong>rect-move</strong> <em>rect x y</em></dt>
-<dd><p>Return a new rectangle based on <var>rect</var> but moved to the
-coordinates (<var>x</var>, <var>y</var>).
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dvec2">Procedure: <strong>rect-move-vec2</strong> <em>rect v</em></dt>
-<dd><p>Return a new rectangle based on <var>rect</var> but moved to the
-coordinates in the 2D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dby">Procedure: <strong>rect-move-by</strong> <em>rect x y</em></dt>
-<dd><p>Return a new rectangle based on <var>rect</var> but moved by (<var>x</var>,
-<var>y</var>) units relative to its current location.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dby_002dvec2">Procedure: <strong>rect-move-by-vec2</strong> <em>rect v</em></dt>
-<dd><p>Return a new rectangle based on <var>rect</var> but moved by the 2D vector
-<var>v</var> relative to its current location.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dinflate">Procedure: <strong>rect-inflate</strong> <em>rect width height</em></dt>
-<dd><p>Return a new rectangle based on <var>rect</var>, but expanded by
-<var>width</var> units on the X axis and <var>height</var> units on the Y axis,
-while keeping the rectangle centered on the same point.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dunion">Procedure: <strong>rect-union</strong> <em>rect1 rect2</em></dt>
-<dd><p>Return a new rectangle that completely covers the area of <var>rect1</var>
-and <var>rect2</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclip">Procedure: <strong>rect-clip</strong> <em>rect1 rect2</em></dt>
-<dd><p>Return a new rectangle that is the overlapping region of <var>rect1</var>
-and <var>rect2</var>.  If the two rectangles do not overlap, a rectangle of
-0 width and 0 height is returned.
-</p></dd></dl>
-
-<dl>
-<dt id="index-set_002drect_002dx_0021">Procedure: <strong>set-rect-x!</strong> <em>rect x</em></dt>
-<dd><p>Set the left X coordinate of <var>rect</var> to <var>x</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-set_002drect_002dy_0021">Procedure: <strong>set-rect-y!</strong> <em>rect y</em></dt>
-<dd><p>Set the bottom Y coordinate of <var>rect</var> to <var>y</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-set_002drect_002dwidth_0021">Procedure: <strong>set-rect-width!</strong> <em>rect width</em></dt>
-<dd><p>Set the width of <var>rect</var> to <var>width</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-set_002drect_002dheight_0021">Procedure: <strong>set-rect-height!</strong> <em>rect height</em></dt>
-<dd><p>Set the height of <var>rect</var> to <var>height</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_0021">Procedure: <strong>rect-move!</strong> <em>rect x y</em></dt>
-<dd><p>Move <var>rect</var> to (<var>x</var>, <var>y</var>) in-place.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dvec2_0021">Procedure: <strong>rect-move-vec2!</strong> <em>rect v</em></dt>
-<dd><p>Move <var>rect</var> to the 2D vector <var>v</var> in-place.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dby_0021">Procedure: <strong>rect-move-by!</strong> <em>rect x y</em></dt>
-<dd><p>Move <var>rect</var> by (<var>x</var>, <var>y</var>) in-place.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dmove_002dby_002dvec2_0021">Procedure: <strong>rect-move-by-vec2!</strong> <em>rect v</em></dt>
-<dd><p>Move <var>rect</var> by the 2D vector <var>v</var> in-place.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dinflate_0021">Procedure: <strong>rect-inflate!</strong> <em>rect width height</em></dt>
-<dd><p>Expand <var>rect</var> by <var>width</var> and <var>height</var> in-place.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dunion_0021">Procedure: <strong>rect-union!</strong> <em>rect1 rect2</em></dt>
-<dd><p>Modify <var>rect1</var> in-place to completely cover the area of both
-<var>rect1</var> and <var>rect2</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclip_0021">Procedure: <strong>rect-clip!</strong> <em>rect1 rect2</em></dt>
-<dd><p>Modify <var>rect1</var> in-place to be the overlapping region of
-<var>rect1</var> and <var>rect2</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-rect_002dclamp_0021">Procedure: <strong>rect-clamp!</strong> <em>rect1 rect2</em></dt>
-<dd><p>Adjust the location of <var>rect1</var> in-place so that its bounds are
-completely within <var>rect2</var>.  An exception is thrown in the case
-that <var>rect1</var> cannot fit completely within <var>rect2</var>.
-</p></dd></dl>
-
-<dl>
-<dt id="index-vec2_002dclamp_002dto_002drect_0021">Procedure: <strong>vec2-clamp-to-rect!</strong> <em>v rect</em></dt>
-<dd><p>Restrict the coordinates of the 2D vector <var>v</var> so that they are
-within the bounds of <var>rect</var>.  <var>v</var> is modified in-place.
-</p></dd></dl>
-
-<hr />
-<div class="header">
-<p>
-Next: <a href="Matrices.html" accesskey="n" rel="next">Matrices</a>, Previous: <a href="Vectors.html" accesskey="p" rel="prev">Vectors</a>, Up: <a href="Math.html" accesskey="u" rel="up">Math</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Index.html" title="Index" rel="index">Index</a>]</p>
-</div>
-
-
-
-</body>
-</html>
author	David Thompson <dthompson2@worcester.edu>	2023-12-28 11:23:49 -0500
committer	David Thompson <dthompson2@worcester.edu>	2023-12-28 11:23:49 -0500
commit	25c5eac5e6ca1035db1eddd7bea9ac78531da57e (patch)
tree	96377006bbfee75bcf0ce208c1ef89cbdfa5b803 /manuals/chickadee/Rectangles.html
parent	5b2e467a7e5e2ffbb0cbbf2557283be891d8206b (diff)