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	<id>http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=Z80%3ADirectives%3ADBSIN%2FDBCOS%2FDBTAN%2FDWSIN%2FDWCOS%2FDWTAN</id>
	<title>Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=Z80%3ADirectives%3ADBSIN%2FDBCOS%2FDBTAN%2FDWSIN%2FDWCOS%2FDWTAN"/>
	<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN&amp;action=history"/>
	<updated>2026-05-28T11:47:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.3</generator>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN&amp;diff=156&amp;oldid=prev</id>
		<title>KermMartian at 08:25, 5 February 2016</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN&amp;diff=156&amp;oldid=prev"/>
		<updated>2016-02-05T08:25:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:25, 5 February 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l30&quot;&gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Uses ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Uses ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[!-- Related directives --]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{lowercase}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{lowercase}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>KermMartian</name></author>
	</entry>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN&amp;diff=149&amp;oldid=prev</id>
		<title>Maintenance script: Initial automated import</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=Z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN&amp;diff=149&amp;oldid=prev"/>
		<updated>2016-02-05T08:18:15Z</updated>

		<summary type="html">&lt;p&gt;Initial automated import&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Use this directive to define trigonometric tables.&lt;br /&gt;
&lt;br /&gt;
== Syntax ==&lt;br /&gt;
&lt;br /&gt;
    .dbsin angles_in_circle, amplitude_of_wave, start_angle, end_angle, angle_step, DC_offset&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Allowed inputs ===&lt;br /&gt;
&lt;br /&gt;
First of all, you need to define the number of angles in a complete circle (cycle of the wave). For example, there are 360° in a circle, so to create a table which uses our degrees scale, use 360. A more sensible value to use would be 256, so a complete sinusoidal wave would fit into 256 angles.&lt;br /&gt;
&lt;br /&gt;
Next you need to specify the amplitude of the wave. To use the range of a byte, 127 seems sensible, for example.&lt;br /&gt;
&lt;br /&gt;
The next 3 arguments are used to denote which angles to generate the table from as a range. For example, to output the angles 0-179 for a half wave (when using a 360° table), you would specify 0, 179, 1. You could, for example, skip every other angle by using 0, 179, 2, or run backwards with 179, 0, -1 (note ordering of arguments!)&lt;br /&gt;
&lt;br /&gt;
Last of all is the DC offset applied to your wave. 0 centers it around 0, a positive value shifts the wave up and a negative value shifts the wave down.&lt;br /&gt;
&lt;br /&gt;
It might be clearer to see some pseudo-code for the way the table is generated:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
    for angle is start_angle to end_angle step angle_step&lt;br /&gt;
        output_value(DC_offset +&lt;br /&gt;
            amplitude_of_wave *&lt;br /&gt;
                sin((angle / angles_in_circle) * 2π)&lt;br /&gt;
        )&lt;br /&gt;
    next angle&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The .dbsin and .dwsin directives generate a sine table, .dbcos and .dwcos generate a cosine table, and .dbtan and .dwtan generate a tangent table. Needless to say, the .db* versions output bytes, the .dw* versions output words.&lt;br /&gt;
&lt;br /&gt;
== Uses ==&lt;br /&gt;
&lt;br /&gt;
[!-- Uses of this directive --]&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
&lt;br /&gt;
[!-- Related directives --]&lt;br /&gt;
&lt;br /&gt;
{{lowercase}}&lt;br /&gt;
[[Category:Z80 Assembly]]&lt;br /&gt;
[[Category:Z80 Heaven]]&lt;br /&gt;
[[Category:Z80 Directives]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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