322 lines
18 KiB
XML
322 lines
18 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
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"http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
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<refentry id="gluUnProject4">
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<refmeta>
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<refmetainfo>
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<copyright>
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<year>1991-2006</year>
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<holder>Silicon Graphics, Inc.</holder>
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</copyright>
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</refmetainfo>
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<refentrytitle>gluUnProject4</refentrytitle>
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<manvolnum>3G</manvolnum>
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</refmeta>
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<refnamediv>
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<refname>gluUnProject4</refname>
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<refpurpose>map window and clip coordinates to object coordinates</refpurpose>
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</refnamediv>
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<refsynopsisdiv><title>C Specification</title>
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<funcsynopsis>
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<funcprototype>
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<funcdef>GLint <function>gluUnProject4</function></funcdef>
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<paramdef>GLdouble <parameter>winX</parameter></paramdef>
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<paramdef>GLdouble <parameter>winY</parameter></paramdef>
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<paramdef>GLdouble <parameter>winZ</parameter></paramdef>
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<paramdef>GLdouble <parameter>clipW</parameter></paramdef>
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<paramdef>const GLdouble * <parameter>model</parameter></paramdef>
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<paramdef>const GLdouble * <parameter>proj</parameter></paramdef>
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<paramdef>const GLint * <parameter>view</parameter></paramdef>
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<paramdef>GLdouble <parameter>nearVal</parameter></paramdef>
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<paramdef>GLdouble <parameter>farVal</parameter></paramdef>
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<paramdef>GLdouble* <parameter>objX</parameter></paramdef>
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<paramdef>GLdouble* <parameter>objY</parameter></paramdef>
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<paramdef>GLdouble* <parameter>objZ</parameter></paramdef>
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<paramdef>GLdouble* <parameter>objW</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<!-- eqn: ignoring delim $$ -->
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<refsect1 id="parameters"><title>Parameters</title>
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<variablelist>
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<varlistentry>
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<term><parameter>winX</parameter></term>
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<term><parameter>winY</parameter></term>
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<term><parameter>winZ</parameter></term>
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<listitem>
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<para>
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Specify the window coordinates to be mapped.
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>clipW</parameter></term>
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<listitem>
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<para>
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Specify the clip w coordinate to be mapped.
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>model</parameter></term>
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<listitem>
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<para>
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Specifies the modelview matrix (as from a <citerefentry><refentrytitle>glGetDoublev</refentrytitle></citerefentry> call).
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>proj</parameter></term>
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<listitem>
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<para>
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Specifies the projection matrix (as from a <citerefentry><refentrytitle>glGetDoublev</refentrytitle></citerefentry> call).
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>view</parameter></term>
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<listitem>
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<para>
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Specifies the viewport (as from a <citerefentry><refentrytitle>glGetIntegerv</refentrytitle></citerefentry> call).
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>nearVal</parameter></term>
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<term><parameter>farVal</parameter></term>
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<listitem>
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<para>
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Specifies the near and far planes (as from a <citerefentry><refentrytitle>glGetDoublev</refentrytitle></citerefentry> call).
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>objX</parameter></term>
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<term><parameter>objY</parameter></term>
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<term><parameter>objZ</parameter></term>
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<term><parameter>objW</parameter></term>
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<listitem>
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<para>
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Returns the computed object coordinates.
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</para>
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</listitem>
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</varlistentry>
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</variablelist>
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</refsect1>
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<refsect1 id="description"><title>Description</title>
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<para>
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<function>gluUnProject4</function> maps the specified window coordinatesi: <parameter>winX</parameter>, <parameter>winY</parameter>, and <parameter>winZ</parameter>
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and its clip w coordinate <parameter>clipW</parameter>
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into object
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coordinates
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<inlineequation><mml:math>
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<!-- eqn: (objX, objY, objZ, objW):-->
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<mml:mfenced open="(" close=")">
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<mml:mi mathvariant="italic">objX</mml:mi>
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<mml:mi mathvariant="italic">objY</mml:mi>
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<mml:mi mathvariant="italic">objZ</mml:mi>
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<mml:mi mathvariant="italic">objW</mml:mi>
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</mml:mfenced>
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</mml:math></inlineequation>
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using <parameter>model</parameter>, <parameter>proj</parameter>, and <parameter>view</parameter>. <parameter>clipW</parameter> can be other than
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1 as for vertices in <citerefentry><refentrytitle>glFeedbackBuffer</refentrytitle></citerefentry> when data type
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<constant>GLU_4D_COLOR_TEXTURE</constant> is returned.
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This also handles the case
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where the <parameter>nearVal</parameter> and <parameter>farVal</parameter> planes are different from the default,
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0 and 1, respectively.
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A return
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value of <constant>GLU_TRUE</constant> indicates success; a return value of <constant>GLU_FALSE</constant>
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indicates failure.
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</para>
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<para>
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To compute the coordinates
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<inlineequation><mml:math>
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<!-- eqn: (objX, objY, objZ, objW):-->
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<mml:mfenced open="(" close=")">
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<mml:mi mathvariant="italic">objX</mml:mi>
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<mml:mi mathvariant="italic">objY</mml:mi>
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<mml:mi mathvariant="italic">objZ</mml:mi>
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<mml:mi mathvariant="italic">objW</mml:mi>
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</mml:mfenced>
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</mml:math></inlineequation>,
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<function>gluUnProject4</function> multiplies the normalized device coordinates by the inverse of
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<parameter>model</parameter> * <parameter>proj</parameter> as follows:
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: left ( cpile { objX above objY above objZ above objW} right ) = INV(P M) left ( cpile { {2(winX - view[0])} over {view[2]} - 1 above {2(winY - view[1])} over {view[3]} - 1 above {2(winZ - nearVal)} over {(farVal - nearVal)} - 1 above clipW} right ):-->
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<mml:mrow>
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<mml:mfenced open="(" close=")">
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<mml:mtable>
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<mml:mtr><mml:mtd>
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<mml:mi mathvariant="italic">objX</mml:mi>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mi mathvariant="italic">objY</mml:mi>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mi mathvariant="italic">objZ</mml:mi>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mi mathvariant="italic">objW</mml:mi>
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</mml:mtd></mml:mtr>
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</mml:mtable>
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</mml:mfenced>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">INV</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">P</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mi mathvariant="italic">M</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>⁢</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mtable>
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<mml:mtr><mml:mtd>
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<mml:mrow>
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<mml:mfrac>
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<mml:mfenced open="" close="">
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">winX</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">view</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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<mml:mfenced open="" close="">
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<mml:mrow>
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<mml:mi mathvariant="italic">view</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>2</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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</mml:mfrac>
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<mml:mo>-</mml:mo>
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<mml:mn>1</mml:mn>
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</mml:mrow>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mrow>
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<mml:mfrac>
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<mml:mfenced open="" close="">
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">winY</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">view</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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<mml:mfenced open="" close="">
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<mml:mrow>
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<mml:mi mathvariant="italic">view</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>3</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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</mml:mfrac>
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<mml:mo>-</mml:mo>
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<mml:mn>1</mml:mn>
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</mml:mrow>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mrow>
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<mml:mfrac>
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<mml:mfenced open="" close="">
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<mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">winZ</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">nearVal</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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<mml:mfenced open="" close="">
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">farVal</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">nearVal</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mfenced>
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</mml:mfrac>
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<mml:mo>-</mml:mo>
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<mml:mn>1</mml:mn>
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</mml:mrow>
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</mml:mtd></mml:mtr>
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<mml:mtr><mml:mtd>
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<mml:mi mathvariant="italic">clipW</mml:mi>
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</mml:mtd></mml:mtr>
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</mml:mtable>
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</mml:mfenced>
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</mml:mrow>
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</mml:mrow>
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</mml:math></informalequation>
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</para>
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<para>
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<inlineequation><mml:math><mml:mi mathvariant="italic">INV</mml:mi></mml:math></inlineequation>
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denotes matrix inversion.
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</para>
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<para>
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<function>gluUnProject4</function> is equivalent to <citerefentry><refentrytitle>gluUnProject</refentrytitle></citerefentry> when <parameter>clipW</parameter> is 1, <parameter>nearVal</parameter> is 0, and
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<parameter>farVal</parameter> is 1.
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</para>
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</refsect1>
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<refsect1 id="notes"><title>Notes</title>
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<para>
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<function>gluUnProject4</function> is available only if the GLU version is 1.3 or greater.
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</para>
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</refsect1>
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<refsect1 id="seealso"><title>See Also</title>
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<para>
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<citerefentry><refentrytitle>gluProject</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>gluUnProject</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glFeedbackBuffer</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry>
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</para>
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</refsect1>
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<refsect1 id="Copyright"><title>Copyright</title>
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<para>
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Copyright <trademark class="copyright"></trademark> 1991-2006
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Silicon Graphics, Inc. This document is licensed under the SGI
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Free Software B License. For details, see
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<ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
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</para>
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</refsect1>
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</refentry>
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