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Commite1bd684

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Add trigonometric functions that work in degrees.
The implementations go to some lengths to deliver exact results for valueswhere an exact result can be expected, such as sind(30) = 0.5 exactly.Dean Rasheed, reviewed by Michael Paquier
1 parentfd5200c commite1bd684

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10 files changed

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-9
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10 files changed

+860
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‎doc/src/sgml/func.sgml

Lines changed: 65 additions & 7 deletions
Original file line numberDiff line numberDiff line change
@@ -1006,20 +1006,19 @@
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Finally, <xref linkend="functions-math-trig-table"> shows the
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available trigonometric functions. All trigonometric functions
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take arguments and return values of type <type>double
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precision</type>. Trigonometric functions arguments are expressed
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in radians. Inverse functions return values are expressed in
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radians. See unit transformation functions
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<literal><function>radians()</function></literal> and
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<literal><function>degrees()</function></literal> above.
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precision</type>. Each of the trigonometric functions comes in
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two variants, one that measures angles in radians and one that
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measures angles in degrees.
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</para>
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<table id="functions-math-trig-table">
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<title>Trigonometric Functions</title>
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<tgroup cols="2">
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<tgroup cols="3">
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<thead>
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<row>
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<entry>Function</entry>
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<entry>Function (radians)</entry>
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<entry>Function (degrees)</entry>
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<entry>Description</entry>
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</row>
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</thead>
@@ -1031,6 +1030,11 @@
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<primary>acos</primary>
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</indexterm><literal><function>acos(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>acosd</primary>
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</indexterm><literal><function>acosd(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>inverse cosine</entry>
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</row>
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@@ -1041,6 +1045,12 @@
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</indexterm>
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<literal><function>asin(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>asind</primary>
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</indexterm>
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<literal><function>asind(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>inverse sine</entry>
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</row>
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@@ -1051,6 +1061,12 @@
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</indexterm>
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<literal><function>atan(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>atand</primary>
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</indexterm>
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<literal><function>atand(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>inverse tangent</entry>
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</row>
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@@ -1062,6 +1078,13 @@
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<literal><function>atan2(<replaceable>y</replaceable>,
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<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>atan2d</primary>
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</indexterm>
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<literal><function>atan2d(<replaceable>y</replaceable>,
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<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>inverse tangent of
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<literal><replaceable>y</replaceable>/<replaceable>x</replaceable></literal></entry>
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</row>
@@ -1073,6 +1096,12 @@
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</indexterm>
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<literal><function>cos(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>cosd</primary>
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</indexterm>
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<literal><function>cosd(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>cosine</entry>
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</row>
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@@ -1083,6 +1112,12 @@
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</indexterm>
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<literal><function>cot(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>cotd</primary>
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</indexterm>
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<literal><function>cotd(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>cotangent</entry>
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</row>
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@@ -1093,6 +1128,12 @@
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</indexterm>
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<literal><function>sin(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>sind</primary>
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</indexterm>
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<literal><function>sind(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>sine</entry>
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</row>
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@@ -1103,12 +1144,29 @@
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</indexterm>
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<literal><function>tan(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>
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<indexterm>
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<primary>tand</primary>
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</indexterm>
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<literal><function>tand(<replaceable>x</replaceable>)</function></literal>
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</entry>
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<entry>tangent</entry>
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</row>
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</tbody>
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</tgroup>
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</table>
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<note>
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<para>
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Another way to work with angles measured in degrees is to use the unit
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transformation functions <literal><function>radians()</function></literal>
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and <literal><function>degrees()</function></literal> shown earlier.
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However, using the degree-based trigonometric functions is preferred,
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as that way avoids roundoff error for special cases such
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as <literal>sind(30)</>.
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</para>
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</note>
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</sect1>
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