1 <?xml version=
"1.0" encoding=
"UTF-8"?>
2 <!DOCTYPE book PUBLIC
"-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
3 "http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
4 <refentry id=
"textureGrad">
9 <holder>Khronos Group
</holder>
12 <refentrytitle>textureGrad
</refentrytitle>
13 <manvolnum>3G
</manvolnum>
16 <refname>textureGrad
</refname>
17 <refpurpose>perform a texture lookup with explicit gradients
</refpurpose>
19 <refsynopsisdiv><title>Declaration
</title>
22 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
23 <paramdef>gsampler1D
<parameter>sampler
</parameter></paramdef>
24 <paramdef>float
<parameter>P
</parameter></paramdef>
25 <paramdef>float
<parameter>dPdx
</parameter></paramdef>
26 <paramdef>float
<parameter>dPdy
</parameter></paramdef>
29 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
30 <paramdef>gsampler2D
<parameter>sampler
</parameter></paramdef>
31 <paramdef>vec2
<parameter>P
</parameter></paramdef>
32 <paramdef>vec2
<parameter>dPdx
</parameter></paramdef>
33 <paramdef>vec2
<parameter>dPdy
</parameter></paramdef>
36 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
37 <paramdef>gsampler3D
<parameter>sampler
</parameter></paramdef>
38 <paramdef>vec3
<parameter>P
</parameter></paramdef>
39 <paramdef>vec3
<parameter>dPdx
</parameter></paramdef>
40 <paramdef>vec3
<parameter>dPdy
</parameter></paramdef>
43 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
44 <paramdef>gsamplerCube
<parameter>sampler
</parameter></paramdef>
45 <paramdef>vec3
<parameter>P
</parameter></paramdef>
46 <paramdef>vec3
<parameter>dPdx
</parameter></paramdef>
47 <paramdef>vec3
<parameter>dPdy
</parameter></paramdef>
50 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
51 <paramdef>gsampler2DRect
<parameter>sampler
</parameter></paramdef>
52 <paramdef>vec2
<parameter>P
</parameter></paramdef>
53 <paramdef>vec2
<parameter>dPdx
</parameter></paramdef>
54 <paramdef>vec2
<parameter>dPdy
</parameter></paramdef>
57 <funcdef>float
<function>textureGrad
</function></funcdef>
58 <paramdef>gsampler2DRectShadow
<parameter>sampler
</parameter></paramdef>
59 <paramdef>vec2
<parameter>P
</parameter></paramdef>
60 <paramdef>vec2
<parameter>dPdx
</parameter></paramdef>
61 <paramdef>vec2
<parameter>dPdy
</parameter></paramdef>
64 <funcdef>float
<function>textureGrad
</function></funcdef>
65 <paramdef>sampler1DShadow
<parameter>sampler
</parameter></paramdef>
66 <paramdef>vec3
<parameter>P
</parameter></paramdef>
67 <paramdef>float
<parameter>dPdx
</parameter></paramdef>
68 <paramdef>float
<parameter>dPdy
</parameter></paramdef>
71 <funcdef>float
<function>textureGrad
</function></funcdef>
72 <paramdef>sampler2DShadow
<parameter>sampler
</parameter></paramdef>
73 <paramdef>vec3
<parameter>P
</parameter></paramdef>
74 <paramdef>vec2
<parameter>dPdx
</parameter></paramdef>
75 <paramdef>vec2
<parameter>dPdy
</parameter></paramdef>
78 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
79 <paramdef>gsampler1DArray
<parameter>sampler
</parameter></paramdef>
80 <paramdef>vec2
<parameter>P
</parameter></paramdef>
81 <paramdef>float
<parameter>dPdx
</parameter></paramdef>
82 <paramdef>float
<parameter>dPdy
</parameter></paramdef>
85 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
86 <paramdef>gsampler2DArray
<parameter>sampler
</parameter></paramdef>
87 <paramdef>vec3
<parameter>P
</parameter></paramdef>
88 <paramdef>vec2
<parameter>dPdx
</parameter></paramdef>
89 <paramdef>vec2
<parameter>dPdy
</parameter></paramdef>
92 <funcdef>float
<function>textureGrad
</function></funcdef>
93 <paramdef>sampler1DArrayShadow
<parameter>sampler
</parameter></paramdef>
94 <paramdef>vec3
<parameter>P
</parameter></paramdef>
95 <paramdef>float
<parameter>dPdx
</parameter></paramdef>
96 <paramdef>float
<parameter>dPdy
</parameter></paramdef>
99 <funcdef>gvec4
<function>textureGrad
</function></funcdef>
100 <paramdef>gsamplerCubeArray
<parameter>sampler
</parameter></paramdef>
101 <paramdef>vec4
<parameter>P
</parameter></paramdef>
102 <paramdef>vec3
<parameter>dPdx
</parameter></paramdef>
103 <paramdef>vec3
<parameter>dPdy
</parameter></paramdef>
107 <refsect1 id=
"parameters"><title>Parameters
</title>
110 <term><parameter>sampler
</parameter></term>
113 Specifies the sampler to which the texture from which texels will be retrieved is bound.
118 <term><parameter>P
</parameter></term>
121 Specifies the texture coordinates at which texture will be sampled.
126 <term><parameter>dPdx
</parameter></term>
129 Specifies the partial derivative of
<parameter>P
</parameter> with respect to window x.
134 <term><parameter>dPdy
</parameter></term>
137 Specifies the partial derivative of
<parameter>P
</parameter> with respect to window y.
143 <refsect1 id=
"description"><title>Description
</title>
145 <function>textureGrad
</function> performs a texture lookup at coordinate
<parameter>P
</parameter> from the
146 texture bound to
<parameter>sampler
</parameter> with explicit texture coordinate gradiends as specified in
147 <parameter>dPdx
</parameter> and
<parameter>dPdy
</parameter>. Set:
150 <inlineequation><mml:math>
152 <mml:mi>δs
</mml:mi>
153 <mml:mi>δx
</mml:mi>
157 <mml:mi>δP
</mml:mi>
158 <mml:mi>δx
</mml:mi>
160 <mml:mi> for a
1D texture,
</mml:mi>
162 <mml:mi>δP.s
</mml:mi>
163 <mml:mi>δx
</mml:mi>
165 <mml:mi> otherwise
</mml:mi>
166 </mml:math></inlineequation>
169 <inlineequation><mml:math>
171 <mml:mi>δs
</mml:mi>
172 <mml:mi>δy
</mml:mi>
176 <mml:mi>δP
</mml:mi>
177 <mml:mi>δy
</mml:mi>
179 <mml:mi> for a
1D texture,
</mml:mi>
181 <mml:mi>δP.s
</mml:mi>
182 <mml:mi>δy
</mml:mi>
184 <mml:mi> otherwise
</mml:mi>
185 </mml:math></inlineequation>
188 <inlineequation><mml:math>
190 <mml:mi>δt
</mml:mi>
191 <mml:mi>δx
</mml:mi>
195 <mml:mi> for a
1D texture,
</mml:mi>
197 <mml:mi>δP.t
</mml:mi>
198 <mml:mi>δx
</mml:mi>
200 <mml:mi> otherwise
</mml:mi>
201 </mml:math></inlineequation>
204 <inlineequation><mml:math>
206 <mml:mi>δt
</mml:mi>
207 <mml:mi>δy
</mml:mi>
211 <mml:mi> for a
1D texture,
</mml:mi>
213 <mml:mi>δP.t
</mml:mi>
214 <mml:mi>δy
</mml:mi>
216 <mml:mi> otherwise
</mml:mi>
217 </mml:math></inlineequation>
220 <inlineequation><mml:math>
222 <mml:mi>δr
</mml:mi>
223 <mml:mi>δx
</mml:mi>
227 <mml:mi> for a
1D or
2D texture,
</mml:mi>
229 <mml:mi>δP.p
</mml:mi>
230 <mml:mi>δx
</mml:mi>
232 <mml:mi> otherwise
</mml:mi>
233 </mml:math></inlineequation>
236 <inlineequation><mml:math>
238 <mml:mi>δr
</mml:mi>
239 <mml:mi>δy
</mml:mi>
243 <mml:mi> for a
1D or
2D texture,
</mml:mi>
245 <mml:mi>δP.p
</mml:mi>
246 <mml:mi>δy
</mml:mi>
248 <mml:mi> otherwise
</mml:mi>
249 </mml:math></inlineequation>
252 For the cube version, the partial derivatives of
<parameter>P
</parameter> are assumed to be
253 in the coordinate system used before texture coordinates are projected onto the appropriate
257 <refsect1 id=
"versions"><title>Version Support
</title>
258 <informaltable frame=
"topbot">
263 <entry>textureGrad
</entry>#newin13#
266 <entry>textureGrad (gsampler2DRect{Shadow})
</entry>#newin14#
269 <entry>textureGrad (gsamplerCubeArray)
</entry>#newin40#
275 <refsect1 id=
"seealso"><title>See Also
</title>
277 <citerefentry><refentrytitle>texelFetch
</refentrytitle></citerefentry>,
278 <citerefentry><refentrytitle>texelFetchOffset
</refentrytitle></citerefentry>,
279 <citerefentry><refentrytitle>texture
</refentrytitle></citerefentry>,
280 <citerefentry><refentrytitle>textureGather
</refentrytitle></citerefentry>,
281 <citerefentry><refentrytitle>textureGatherOffset
</refentrytitle></citerefentry>,
282 <citerefentry><refentrytitle>textureGatherOffsets
</refentrytitle></citerefentry>,
283 <citerefentry><refentrytitle>textureGradOffset
</refentrytitle></citerefentry>,
284 <citerefentry><refentrytitle>textureLod
</refentrytitle></citerefentry>,
285 <citerefentry><refentrytitle>textureLodOffset
</refentrytitle></citerefentry>,
286 <citerefentry><refentrytitle>textureOffset
</refentrytitle></citerefentry>,
287 <citerefentry><refentrytitle>textureProj
</refentrytitle></citerefentry>,
288 <citerefentry><refentrytitle>textureProjGrad
</refentrytitle></citerefentry>,
289 <citerefentry><refentrytitle>textureProjGradOffset
</refentrytitle></citerefentry>,
290 <citerefentry><refentrytitle>textureProjLod
</refentrytitle></citerefentry>,
291 <citerefentry><refentrytitle>textureProjLodOffset
</refentrytitle></citerefentry>,
292 <citerefentry><refentrytitle>textureProjOffset
</refentrytitle></citerefentry>,
293 <citerefentry><refentrytitle>textureQueryLod
</refentrytitle></citerefentry>,
294 <citerefentry><refentrytitle>textureSize
</refentrytitle></citerefentry>
297 <refsect1 id=
"Copyright"><title>Copyright
</title>
299 Copyright
<trademark class=
"copyright"></trademark> 2011 Khronos Group.
300 This material may be distributed subject to the terms and conditions set forth in
301 the Open Publication License, v
1.0,
8 June
1999.
302 <ulink url=
"http://opencontent.org/openpub/">http://opencontent.org/openpub/
</ulink>.