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1453 lines
78 KiB
XML
1453 lines
78 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="glBlendFunc">
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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>glBlendFunc</refentrytitle>
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<manvolnum>3G</manvolnum>
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</refmeta>
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<refnamediv>
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<refname>glBlendFunc</refname>
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<refpurpose>specify pixel arithmetic</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>void <function>glBlendFunc</function></funcdef>
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<paramdef>GLenum <parameter>sfactor</parameter></paramdef>
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<paramdef>GLenum <parameter>dfactor</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>sfactor</parameter></term>
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<listitem>
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<para>
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Specifies how the red, green, blue,
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and alpha source blending factors are computed.
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The initial value is <constant>GL_ONE</constant>.
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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>dfactor</parameter></term>
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<listitem>
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<para>
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Specifies how the red, green, blue,
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and alpha destination blending factors are computed.
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The following symbolic constants are accepted:
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<constant>GL_ZERO</constant>,
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<constant>GL_ONE</constant>,
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<constant>GL_SRC_COLOR</constant>,
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<constant>GL_ONE_MINUS_SRC_COLOR</constant>,
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<constant>GL_DST_COLOR</constant>,
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<constant>GL_ONE_MINUS_DST_COLOR</constant>,
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<constant>GL_SRC_ALPHA</constant>,
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<constant>GL_ONE_MINUS_SRC_ALPHA</constant>,
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<constant>GL_DST_ALPHA</constant>,
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<constant>GL_ONE_MINUS_DST_ALPHA</constant>.
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<constant>GL_CONSTANT_COLOR</constant>,
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<constant>GL_ONE_MINUS_CONSTANT_COLOR</constant>,
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<constant>GL_CONSTANT_ALPHA</constant>, and
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<constant>GL_ONE_MINUS_CONSTANT_ALPHA</constant>.
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The initial value is <constant>GL_ZERO</constant>.
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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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Pixels can be drawn using a function that blends
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the incoming (source) RGBA values with the RGBA values
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that are already in the frame buffer (the destination values).
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Blending is initially disabled.
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Use <citerefentry><refentrytitle>glEnable</refentrytitle></citerefentry> and <citerefentry><refentrytitle>glDisable</refentrytitle></citerefentry> with argument <constant>GL_BLEND</constant>
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to enable and disable blending.
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</para>
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<para>
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<function>glBlendFunc</function> defines the operation of blending when it is enabled.
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<parameter>sfactor</parameter> specifies which method is used to scale the
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source color components.
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<parameter>dfactor</parameter> specifies which method is used to scale the
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destination color components.
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Both parameters must be one of the following symbolic constants:
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<constant>GL_ZERO</constant>,
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<constant>GL_ONE</constant>,
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<constant>GL_SRC_COLOR</constant>,
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<constant>GL_ONE_MINUS_SRC_COLOR</constant>,
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<constant>GL_DST_COLOR</constant>,
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<constant>GL_ONE_MINUS_DST_COLOR</constant>,
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<constant>GL_SRC_ALPHA</constant>,
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<constant>GL_ONE_MINUS_SRC_ALPHA</constant>,
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<constant>GL_DST_ALPHA</constant>,
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<constant>GL_ONE_MINUS_DST_ALPHA</constant>,
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<constant>GL_CONSTANT_COLOR</constant>,
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<constant>GL_ONE_MINUS_CONSTANT_COLOR</constant>,
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<constant>GL_CONSTANT_ALPHA</constant>,
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<constant>GL_ONE_MINUS_CONSTANT_ALPHA</constant>,
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<constant>GL_SRC_ALPHA_SATURATE</constant>,
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<constant>GL_SRC1_COLOR</constant>,
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<constant>GL_ONE_MINUS_SRC1_COLOR</constant>,
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<constant>GL_SRC1_ALPHA</constant>, and
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<constant>GL_ONE_MINUS_SRC1_ALPHA</constant>.
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The possible methods are described in the following table.
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Each method defines four scale factors,
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one each for red, green, blue, and alpha.
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In the table and in subsequent equations, first source, second source
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and destination color components are referred to as
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<inlineequation><mml:math>
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<!-- eqn: ( R sub s0 , G sub s0 , B sub s0 , A sub s0 ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
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<mml:mi mathvariant="italic">s0</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
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<mml:mi mathvariant="italic">s0</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
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<mml:mi mathvariant="italic">s0</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
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<mml:mi mathvariant="italic">s0</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>,
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<inlineequation><mml:math>
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<!-- eqn: ( R sub s1 , G sub s1 , B sub s1 , A sub s1 ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
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<mml:mi mathvariant="italic">s1</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
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<mml:mi mathvariant="italic">s1</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
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<mml:mi mathvariant="italic">s1</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
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<mml:mi mathvariant="italic">s1</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>
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and
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<inlineequation><mml:math>
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<!-- eqn: ( R sub d , G sub d , B sub d , A sub d ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
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<mml:mi mathvariant="italic">d</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
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<mml:mi mathvariant="italic">d</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
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<mml:mi mathvariant="italic">d</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
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<mml:mi mathvariant="italic">d</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>, respectively.
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The color specified by <citerefentry><refentrytitle>glBlendColor</refentrytitle></citerefentry> is referred to as
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<inlineequation><mml:math>
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<!-- eqn: ( R sub c , G sub c , B sub c , A sub c ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>.
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They are understood to have integer values between 0 and
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<inlineequation><mml:math>
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<!-- eqn: ( k sub R , k sub G , k sub B , k sub A ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>,
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where
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</para>
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<para>
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<para>
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<inlineequation><mml:math>
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<!-- eqn: k sub c = 2 sup {m sub c} - 1: -->
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<mml:mrow>
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<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:msup><mml:mn>2</mml:mn>
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<mml:mfenced open="" close="">
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<mml:msub><mml:mi mathvariant="italic">m</mml:mi>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:msup>
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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:mrow>
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</mml:math></inlineequation>
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</para>
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</para>
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<para>
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and
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<inlineequation><mml:math>
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<!-- eqn: ( m sub R , m sub G , m sub B , m sub A ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">m</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">m</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">m</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">m</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>
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is the number of red,
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green,
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blue,
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and alpha bitplanes.
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</para>
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<para>
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Source and destination scale factors are referred to as
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<inlineequation><mml:math>
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<!-- eqn: ( s sub R , s sub G , s sub B , s sub A ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>
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and
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<inlineequation><mml:math>
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<!-- eqn: ( d sub R , d sub G , d sub B , d sub A ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>.
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The scale factors described in the table,
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denoted
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<inlineequation><mml:math>
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<!-- eqn: ( f sub R , f sub G , f sub B , f sub A ): -->
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
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</mml:mfenced>
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</mml:math></inlineequation>,
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represent either source or destination factors.
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All scale factors have range
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<inlineequation><mml:math>
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<!-- eqn: [0,1]: -->
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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</mml:math></inlineequation>.
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</para>
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<para>
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</para>
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<informaltable frame="topbot">
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<tgroup cols="2" align="left">
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<colspec/>
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<colspec/>
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<thead>
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<row>
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<entry rowsep="1" align="left"><emphasis role="bold">
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Parameter
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</emphasis></entry>
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<entry rowsep="1" align="left"><emphasis role="bold">
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<inlineequation><mml:math>
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<!-- eqn: ( f sub R , f sub G , f sub B , f sub A ): -->
|
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<mml:mfenced open="(" close=")">
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<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">R</mml:mi>
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</mml:msub>
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|
<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">G</mml:mi>
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</mml:msub>
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|
<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">B</mml:mi>
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</mml:msub>
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|
<mml:msub><mml:mi mathvariant="italic">f</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
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</mml:msub>
|
|
</mml:mfenced>
|
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</mml:math></inlineequation>
|
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</emphasis></entry>
|
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</row>
|
|
</thead>
|
|
<tbody>
|
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<row>
|
|
<entry align="left">
|
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<constant>GL_ZERO</constant>
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</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 0, 0, 0, 0 ): -->
|
|
<mml:mfenced open="(" close=")">
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<mml:mn>0</mml:mn>
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<mml:mn>0</mml:mn>
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<mml:mn>0</mml:mn>
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|
<mml:mn>0</mml:mn>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
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|
</row>
|
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<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE</constant>
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</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_SRC_COLOR</constant>
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|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( R sub s0 / k sub R , G sub s0 / k sub G , B sub s0 / k sub B , A sub s0 / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
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|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
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|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
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|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_SRC_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - (R sub s0 / k sub R , G sub s0 / k sub G , B sub s0 / k sub B , A sub s0 / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_DST_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( R sub d / k sub R , G sub d / k sub G , B sub d / k sub B , A sub d / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_DST_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - (R sub d / k sub R , G sub d / k sub G , B sub d / k sub B , A sub d / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_SRC_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( A sub s0 / k sub A , A sub s0 / k sub A , A sub s0 / k sub A , A sub s0 / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_SRC_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - (A sub s0 / k sub A , A sub s0 / k sub A , A sub s0 / k sub A , A sub s0 / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s0</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_DST_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( A sub d / k sub A , A sub d / k sub A , A sub d / k sub A , A sub d / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_DST_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - ( A sub d / k sub A , A sub d / k sub A , A sub d / k sub A , A sub d / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_CONSTANT_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( R sub c, G sub c, B sub c, A sub c ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_CONSTANT_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - ( R sub c, G sub c, B sub c, A sub c ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_CONSTANT_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( A sub c, A sub c, A sub c, A sub c ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_CONSTANT_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - ( A sub c, A sub c, A sub c, A sub c ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">c</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_SRC_ALPHA_SATURATE</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( i, i, i, 1 ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mi mathvariant="italic">i</mml:mi>
|
|
<mml:mi mathvariant="italic">i</mml:mi>
|
|
<mml:mi mathvariant="italic">i</mml:mi>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_SRC1_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( R sub s1 / k sub R , G sub s1 / k sub G , B sub s1 / k sub B , A sub s1 / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_SRC1_COLOR</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - (R sub s1 / k sub R , G sub s1 / k sub G , B sub s1 / k sub B , A sub s1 / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_SRC1_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( A sub s1 / k sub A , A sub s1 / k sub A , A sub s1 / k sub A , A sub s1 / k sub A ): -->
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
<row>
|
|
<entry align="left">
|
|
<constant>GL_ONE_MINUS_SRC1_ALPHA</constant>
|
|
</entry>
|
|
<entry align="left">
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: ( 1, 1, 1, 1 ) - (A sub s1 / k sub A , A sub s1 / k sub A , A sub s1 / k sub A , A sub s1 / k sub A ): -->
|
|
<mml:mrow>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
<mml:mn>1</mml:mn>
|
|
</mml:mfenced>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
<mml:mfrac>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s1</mml:mi>
|
|
</mml:msub>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</entry>
|
|
</row>
|
|
</tbody>
|
|
</tgroup>
|
|
</informaltable>
|
|
<para>
|
|
In the table,
|
|
</para>
|
|
<para>
|
|
<para>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: i = min (A sub s , k sub A - A sub d ) / k sub A: -->
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">i</mml:mi>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:mfrac>
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">min</mml:mi>
|
|
<mml:mo>⁡</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>-</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mfrac>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</para>
|
|
</para>
|
|
<para>
|
|
To determine the blended RGBA values of a pixel,
|
|
the system uses the following equations:
|
|
</para>
|
|
<para>
|
|
<para>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: R sub d = min ( k sub R, R sub s s sub R + R sub d d sub R ): -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">min</mml:mi>
|
|
<mml:mo>⁡</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>+</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
|
|
<mml:mi mathvariant="italic">R</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: G sub d = min ( k sub G, G sub s s sub G + G sub d d sub G ): -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">min</mml:mi>
|
|
<mml:mo>⁡</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>+</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
|
|
<mml:mi mathvariant="italic">G</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: B sub d = min ( k sub B, B sub s s sub B + B sub d d sub B ): -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">min</mml:mi>
|
|
<mml:mo>⁡</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>+</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
|
|
<mml:mi mathvariant="italic">B</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: A sub d = min ( k sub A, A sub s s sub A + A sub d d sub A ): -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:mrow>
|
|
<mml:mi mathvariant="italic">min</mml:mi>
|
|
<mml:mo>⁡</mml:mo>
|
|
<mml:mfenced open="(" close=")">
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">s</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>+</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>⁢</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">d</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:mfenced>
|
|
</mml:mrow>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</para>
|
|
</para>
|
|
<para>
|
|
Despite the apparent precision of the above equations,
|
|
blending arithmetic is not exactly specified,
|
|
because blending operates with imprecise integer color values.
|
|
However,
|
|
a blend factor that should be equal to 1
|
|
is guaranteed not to modify its multiplicand,
|
|
and a blend factor equal to 0 reduces its multiplicand to 0.
|
|
For example,
|
|
when <parameter>sfactor</parameter> is <constant>GL_SRC_ALPHA</constant>,
|
|
<parameter>dfactor</parameter> is <constant>GL_ONE_MINUS_SRC_ALPHA</constant>,
|
|
and
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: A sub s: -->
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
</mml:math></inlineequation>
|
|
is equal to
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: k sub A: -->
|
|
<mml:msub><mml:mi mathvariant="italic">k</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:math></inlineequation>,
|
|
the equations reduce to simple replacement:
|
|
</para>
|
|
<para>
|
|
<para>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: R sub d = R sub s: -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">R</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: G sub d = G sub s: -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">G</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: B sub d = B sub s: -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">B</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
<inlineequation><mml:math>
|
|
<!-- eqn: A sub d = A sub s: -->
|
|
<mml:mrow>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">d</mml:mi>
|
|
</mml:msub>
|
|
<mml:mo>=</mml:mo>
|
|
<mml:msub><mml:mi mathvariant="italic">A</mml:mi>
|
|
<mml:mi mathvariant="italic">s</mml:mi>
|
|
</mml:msub>
|
|
</mml:mrow>
|
|
</mml:math></inlineequation>
|
|
</para>
|
|
</para>
|
|
<para>
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="examples"><title>Examples</title>
|
|
<para>
|
|
</para>
|
|
<para>
|
|
Transparency is best implemented using blend function
|
|
(<constant>GL_SRC_ALPHA</constant>, <constant>GL_ONE_MINUS_SRC_ALPHA</constant>)
|
|
with primitives sorted from farthest to nearest.
|
|
Note that this transparency calculation does not require
|
|
the presence of alpha bitplanes in the frame buffer.
|
|
</para>
|
|
<para>
|
|
Blend function
|
|
(<constant>GL_SRC_ALPHA</constant>, <constant>GL_ONE_MINUS_SRC_ALPHA</constant>)
|
|
is also useful for rendering antialiased points and lines
|
|
in arbitrary order.
|
|
</para>
|
|
<para>
|
|
Polygon antialiasing is optimized using blend function
|
|
(<constant>GL_SRC_ALPHA_SATURATE</constant>, <constant>GL_ONE</constant>)
|
|
with polygons sorted from nearest to farthest.
|
|
(See the <citerefentry><refentrytitle>glEnable</refentrytitle></citerefentry>, <citerefentry><refentrytitle>glDisable</refentrytitle></citerefentry> reference page and the
|
|
<constant>GL_POLYGON_SMOOTH</constant> argument for information on polygon antialiasing.)
|
|
Destination alpha bitplanes,
|
|
which must be present for this blend function to operate correctly,
|
|
store the accumulated coverage.
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="notes"><title>Notes</title>
|
|
<para>
|
|
Incoming (source) alpha is correctly thought of as a material opacity,
|
|
ranging from 1.0
|
|
(<inlineequation><mml:math>
|
|
<!-- eqn: K sub A: -->
|
|
<mml:msub><mml:mi mathvariant="italic">K</mml:mi>
|
|
<mml:mi mathvariant="italic">A</mml:mi>
|
|
</mml:msub>
|
|
</mml:math></inlineequation>),
|
|
representing complete opacity,
|
|
to 0.0 (0), representing complete
|
|
transparency.
|
|
</para>
|
|
<para>
|
|
When more than one color buffer is enabled for drawing,
|
|
the GL performs blending separately for each enabled buffer,
|
|
using the contents of that buffer for destination color.
|
|
(See <citerefentry><refentrytitle>glDrawBuffer</refentrytitle></citerefentry>.)
|
|
</para>
|
|
<para>
|
|
When dual source blending is enabled (i.e., one of the blend factors requiring
|
|
the second color input is used), the maximum number of enabled draw buffers
|
|
is given by <constant>GL_MAX_DUAL_SOURCE_DRAW_BUFFERS</constant>, which may
|
|
be lower than <constant>GL_MAX_DRAW_BUFFERS</constant>.
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="errors"><title>Errors</title>
|
|
<para>
|
|
<constant>GL_INVALID_ENUM</constant> is generated if either <parameter>sfactor</parameter>
|
|
or <parameter>dfactor</parameter> is not an accepted value.
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="associatedgets"><title>Associated Gets</title>
|
|
<para>
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_BLEND_SRC</constant>
|
|
</para>
|
|
<para>
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_BLEND_DST</constant>
|
|
</para>
|
|
<para>
|
|
<citerefentry><refentrytitle>glIsEnabled</refentrytitle></citerefentry> with argument <constant>GL_BLEND</constant>
|
|
</para>
|
|
<para>
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="seealso"><title>See Also</title>
|
|
<para>
|
|
<citerefentry><refentrytitle>glBlendColor</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glBlendEquation</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glBlendFuncSeparate</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glClear</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glDrawBuffer</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glEnable</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glLogicOp</refentrytitle></citerefentry>,
|
|
<citerefentry><refentrytitle>glStencilFunc</refentrytitle></citerefentry>
|
|
</para>
|
|
</refsect1>
|
|
<refsect1 id="Copyright"><title>Copyright</title>
|
|
<para>
|
|
Copyright <trademark class="copyright"></trademark> 1991-2006
|
|
Silicon Graphics, Inc. This document is licensed under the SGI
|
|
Free Software B License. For details, see
|
|
<ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
|
|
</para>
|
|
</refsect1>
|
|
</refentry>
|