OpenGL 4.1 (Compatibility Profile) - July 25, 2010

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2.1. OPENGL FUNDAMENTALS 8 point operations are accurate to about 1 part in 10 5 . The maximum representable magnitude of a floating-point number used to represent positional, normal, or texture coordinates must be at least 2 32 ; the maximum representable magnitude for colors must be at least 2 10 . The maximum representable magnitude for all other floating-point values must be at least 2 32 . x · 0 = 0 · x = 0 for any non-infinite and non-NaN x. 1 · x = x · 1 = x. x + 0 = 0 + x = x. 0 0 = 1. (Occasionally further requirements will be specified.) Most single-precision floating-point formats meet these requirements. The special values Inf and −Inf encode values with magnitudes too large to be represented; the special value NaN encodes “Not A Number” values resulting from undefined arithmetic operations such as 0 0 . Implementations are permitted, but not required, to support Inf s and NaN s in their floating-point computations. Any representable floating-point value is legal as input to a GL command that requires floating-point data. The result of providing a value that is not a floatingpoint number to such a command is unspecified, but must not lead to GL interruption or termination. In IEEE arithmetic, for example, providing a negative zero or a denormalized number to a GL command yields predictable results, while providing a NaN or an infinity yields unspecified results. 16-Bit Floating-Point Numbers A 16-bit floating-point number has a 1-bit sign (S), a 5-bit exponent (E), and a 10-bit mantissa (M). The value V of a 16-bit floating-point number is determined by the following: ⎧ (−1) S × 0.0, E = 0, M = 0 ⎪⎨ (−1) S × 2 −14 × M , E = 0, M ≠ 0 2 10 V = (−1) S × 2 E−15 × ( 1 + M ) 2 , 0 < E < 31 10 (−1) ⎪⎩ S × Inf , E = 31, M = 0 NaN , E = 31, M ≠ 0 If the floating-point number is interpreted as an unsigned 16-bit integer N, then ⌊ ⌋ N mod 65536 S = 32768 ⌊ ⌋ N mod 32768 E = 1024 M = N mod 1024. OpenGL 4.1 (Compatibility Profile) - July 25, 2010
2.1. OPENGL FUNDAMENTALS 9 Any representable 16-bit floating-point value is legal as input to a GL command that accepts 16-bit floating-point data. The result of providing a value that is not a floating-point number (such as Inf or NaN ) to such a command is unspecified, but must not lead to GL interruption or termination. Providing a denormalized number or negative zero to GL must yield predictable results. Unsigned 11-Bit Floating-Point Numbers An unsigned 11-bit floating-point number has no sign bit, a 5-bit exponent (E), and a 6-bit mantissa (M). The value V of an unsigned 11-bit floating-point number is determined by the following: ⎧ 0.0, E = 0, M = 0 ⎪⎨ 2 −14 × M 64 , E = 0, M ≠ 0 V = 2 E−15 × ( 1 + M ) 64 , 0 < E < 31 Inf , E = 31, M = 0 ⎪⎩ NaN , E = 31, M ≠ 0 If the floating-point number is interpreted as an unsigned 11-bit integer N, then ⌊ N E = 64⌋ M = N mod 64. When a floating-point value is converted to an unsigned 11-bit floating-point representation, finite values are rounded to the closest representable finite value. While less accurate, implementations are allowed to always round in the direction of zero. This means negative values are converted to zero. Likewise, finite positive values greater than 65024 (the maximum finite representable unsigned 11-bit floating-point value) are converted to 65024. Additionally: negative infinity is converted to zero; positive infinity is converted to positive infinity; and both positive and negative NaN are converted to positive NaN . Any representable unsigned 11-bit floating-point value is legal as input to a GL command that accepts 11-bit floating-point data. The result of providing a value that is not a floating-point number (such as Inf or NaN ) to such a command is unspecified, but must not lead to GL interruption or termination. Providing a denormalized number to GL must yield predictable results. Unsigned 10-Bit Floating-Point Numbers OpenGL 4.1 (Compatibility Profile) - July 25, 2010
Page 1 and 2: The OpenGL R○ Graphics System: A
Page 3 and 4: Contents 1 Introduction 1 1.1 Forma
Page 5 and 6: CONTENTS iii 2.15.2 Tessellation Pr
Page 7 and 8: CONTENTS v 3.14 Multisample Point F
Page 9 and 10: CONTENTS vii B Corollaries 548 C Co
Page 11 and 12: CONTENTS ix L.3.11 Vertex Blend . .
Page 13 and 14: CONTENTS xi L.3.91 Shader Precision
Page 15 and 16: LIST OF FIGURES xiii 3.11 Example o
Page 17 and 18: LIST OF TABLES xv 3.10 UNSIGNED_SHO
Page 19 and 20: LIST OF TABLES xvii 6.36 Renderbuff
Page 21 and 22: Chapter 1 Introduction This documen
Page 23 and 24: 1.5. OUR VIEW 3 the CPU and the gra
Page 25 and 26: Chapter 2 OpenGL Operation 2.1 Open
Page 27: 2.1. OPENGL FUNDAMENTALS 7 section
Page 31 and 32: 2.1. OPENGL FUNDAMENTALS 11 2.1.2 F
Page 33 and 34: 2.2. GL STATE 13 After conversion,
Page 35 and 36: 2.4. BASIC GL OPERATION 15 Type Des
Page 37 and 38: 2.4. BASIC GL OPERATION 17 Display
Page 39 and 40: 2.6. BEGIN/END PARADIGM 19 Error De
Page 41 and 42: 2.6. BEGIN/END PARADIGM 21 Vertex C
Page 43 and 44: 2.6. BEGIN/END PARADIGM 23 first ve
Page 45 and 46: 2.6. BEGIN/END PARADIGM 25 2 4 6 2
Page 47 and 48: 2.6. BEGIN/END PARADIGM 27 Figure 2
Page 49 and 50: 2.6. BEGIN/END PARADIGM 29 Primitiv
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Page 55 and 56: 2.7. VERTEX SPECIFICATION 35 void C
Page 57 and 58: 2.7. VERTEX SPECIFICATION 37 • si
Page 59 and 60: 2.8. VERTEX ARRAYS 39 void VertexAt
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2.9. BUFFER OBJECTS 59 Name Value B
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2.9. BUFFER OBJECTS 61 pointers, or
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2.9. BUFFER OBJECTS 63 void *MapBuf
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2.9. BUFFER OBJECTS 65 sizeiptr siz
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2.10. VERTEX ARRAY OBJECTS 67 ing t
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2.12. FIXED-FUNCTION VERTEX TRANSFO
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2.13. FIXED-FUNCTION VERTEX LIGHTIN
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2.14. VERTEX SHADERS 91 2.14 Vertex
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2.14. VERTEX SHADERS 93 the text st
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2.14. VERTEX SHADERS 95 compiled to
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2.14. VERTEX SHADERS 97 obtain more
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2.14. VERTEX SHADERS 99 if (program
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2.14. VERTEX SHADERS 101 where pipe
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2.14. VERTEX SHADERS 103 or outputs
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2.14. VERTEX SHADERS 105 in length
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2.14. VERTEX SHADERS 107 Data type
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2.14. VERTEX SHADERS 109 After a pr
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2.14. VERTEX SHADERS 111 uniform bl
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2.14. VERTEX SHADERS 113 void GetAc
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2.14. VERTEX SHADERS 115 successful
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2.14. VERTEX SHADERS 117 If one or
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2.14. VERTEX SHADERS 119 OpenGL Sha
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2.14. VERTEX SHADERS 121 of the uni
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2.14. VERTEX SHADERS 123 If any of
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2.14. VERTEX SHADERS 125 • Member
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2.14. VERTEX SHADERS 127 matrix is
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2.14. VERTEX SHADERS 129 limit on t
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2.14. VERTEX SHADERS 131 will load
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2.14. VERTEX SHADERS 133 able writt
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2.14. VERTEX SHADERS 135 • the to
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2.14. VERTEX SHADERS 137 Instead, t
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2.14. VERTEX SHADERS 139 • the te
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2.14. VERTEX SHADERS 141 • The sa
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2.14. VERTEX SHADERS 143 This error
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2.14. VERTEX SHADERS 145 variable.
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2.15. TESSELLATION 147 of the outpu
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2.15. TESSELLATION 149 Tessellation
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2.15. TESSELLATION 151 whose tessel
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2.15. TESSELLATION 153 called the s
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2.15. TESSELLATION 155 float *value
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2.15. TESSELLATION 157 Figure 2.14.
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2.15. TESSELLATION 159 control the
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2.15. TESSELLATION 161 to subsequen
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2.15. TESSELLATION 163 the provided
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2.15. TESSELLATION 165 • The vari
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2.16. GEOMETRY SHADERS 167 the valu
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2.16. GEOMETRY SHADERS 169 vertices
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2.16. GEOMETRY SHADERS 171 • Flat
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2.16. GEOMETRY SHADERS 173 • Stru
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2.16. GEOMETRY SHADERS 175 The buil
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2.17. COORDINATE TRANSFORMATIONS 17
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2.17. COORDINATE TRANSFORMATIONS 17
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2.18. ASYNCHRONOUS QUERIES 181 retu
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2.19. CONDITIONAL RENDERING 183 2.1
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2.20. TRANSFORM FEEDBACK 185 return
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2.20. TRANSFORM FEEDBACK 187 Transf
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2.20. TRANSFORM FEEDBACK 189 itive
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2.21. PRIMITIVE QUERIES 191 is gene
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2.22. FLATSHADING 193 Primitive typ
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2.23. PRIMITIVE CLIPPING 195 lie in
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2.24. FINAL COLOR PROCESSING 197 ar
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2.25. CURRENT RASTER POSITION 199 c
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2.25. CURRENT RASTER POSITION 201 i
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203 Fixed function or fragment shad
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3.3. ANTIALIASING 205 these b bits
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3.3. ANTIALIASING 207 have fixed sa
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3.4. POINTS 209 derived size = clam
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¡ ¡ ¡ ¡ ¡ ¡ 3.4. POINTS 211 5
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3.4. POINTS 213 All fragments produ
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3.5. LINE SEGMENTS 215 ported is eq
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3.5. LINE SEGMENTS 217 window-coord
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3.5. LINE SEGMENTS 219 width = 2 wi
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3.6. POLYGONS 221 is rasterized as
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3.6. POLYGONS 223 is disabled or th
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3.6. POLYGONS 225 If x w and y w ar
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3.6. POLYGONS 227 given polygon is
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3.7. PIXEL RECTANGLES 229 Parameter
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3.7. PIXEL RECTANGLES 231 Parameter
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3.7. PIXEL RECTANGLES 233 pack buff
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3.7. PIXEL RECTANGLES 235 defines a
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3.7. PIXEL RECTANGLES 237 R, G, B,
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3.7. PIXEL RECTANGLES 239 precisely
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3.7. PIXEL RECTANGLES 241 Histogram
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¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡
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3.7. PIXEL RECTANGLES 245 Format Na
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3.7. PIXEL RECTANGLES 247 ROW_LENGT
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3.7. PIXEL RECTANGLES 249 an unsign
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3.7. PIXEL RECTANGLES 251 UNSIGNED_
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3.7. PIXEL RECTANGLES 253 Format Fi
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3.7. PIXEL RECTANGLES 255 3.7.5 Ras
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3.7. PIXEL RECTANGLES 257 (either z
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3.7. PIXEL RECTANGLES 259 must have
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3.7. PIXEL RECTANGLES 261 Base Filt
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3.7. PIXEL RECTANGLES 263 and C c i
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3.7. PIXEL RECTANGLES 265 ALPHA_BIA
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3.8. BITMAPS 267 ignored.) If a par
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3.9. TEXTURING 269 Bitmap Multisamp
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3.9. TEXTURING 271 specifies the ac
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3.9. TEXTURING 273 returns TRUE if
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3.9. TEXTURING 275 MIRRORED_REPEAT
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3.9. TEXTURING 277 elements in one
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3.9. TEXTURING 279 to a specific co
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3.9. TEXTURING 281 A preliminary sh
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3.9. TEXTURING 283 Sized internal c
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3.9. TEXTURING 285 Sized Base D S I
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3.9. TEXTURING 287 level of detail
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3.9. TEXTURING 289 • UNPACK_SKIP_
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3.9. TEXTURING 291 1.0 5.0 4 3 t v
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3.9. TEXTURING 293 defines a one-di
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3.9. TEXTURING 295 generates the er
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3.9. TEXTURING 297 • xoffset or y
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3.9. TEXTURING 299 of TEXTURE_WIDTH
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3.9. TEXTURING 301 This guarantee a
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3.9. TEXTURING 303 3.9.7 Buffer Tex
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3.9. TEXTURING 305 Internal formats
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3.9. TEXTURING 307 Texture paramete
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3.9. TEXTURING 309 Major Axis Direc
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3.9. TEXTURING 311 If λ(x, y) is l
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3.9. TEXTURING 313 Coordinate Wrapp
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3.9. TEXTURING 315 i 0 = wrap(⌊u
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3.9. TEXTURING 317 Figure 3.11. An
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3.9. TEXTURING 319 The values of le
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3.9. TEXTURING 321 3.9.12 Texture M
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3.9. TEXTURING 323 means that a tex
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3.9. TEXTURING 325 pixel data are t
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3.9. TEXTURING 327 Texture Base Tex
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3.9. TEXTURING 329 COMBINE_RGB Text
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3.9. TEXTURING 331 The state requir
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3.9. TEXTURING 333 reference value.
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3.9. TEXTURING 335 C f CT 0 CT 1 TE
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3.11. FOG 337 void Fog{if}( enum pn
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3.12. FRAGMENT SHADERS 339 MAX_FRAG
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3.12. FRAGMENT SHADERS 341 The resu
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3.12. FRAGMENT SHADERS 343 geometry
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3.12. FRAGMENT SHADERS 345 range co
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3.13. ANTIALIASING APPLICATION 347
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Chapter 4 Per-Fragment Operations a
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4.1. PER-FRAGMENT OPERATIONS 351 Fr
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4.1. PER-FRAGMENT OPERATIONS 353 st
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4.1. PER-FRAGMENT OPERATIONS 355 ma
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4.1. PER-FRAGMENT OPERATIONS 357 a
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4.1. PER-FRAGMENT OPERATIONS 359 4.
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4.1. PER-FRAGMENT OPERATIONS 361 Bl
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4.1. PER-FRAGMENT OPERATIONS 363 vo
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4.1. PER-FRAGMENT OPERATIONS 365 Th
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4.1. PER-FRAGMENT OPERATIONS 367 co
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4.2. WHOLE FRAMEBUFFER OPERATIONS 3
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¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡
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4.3. DRAWING, READING, AND COPYING
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4.4. FRAMEBUFFER OBJECTS 393 If SAM
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4.4. FRAMEBUFFER OBJECTS 395 If a f
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4.4. FRAMEBUFFER OBJECTS 397 4.4.2
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4.4. FRAMEBUFFER OBJECTS 399 The co
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4.4. FRAMEBUFFER OBJECTS 401 error
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4.4. FRAMEBUFFER OBJECTS 403 void F
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4.4. FRAMEBUFFER OBJECTS 405 • Th
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4.4. FRAMEBUFFER OBJECTS 407 FRAMEB
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4.4. FRAMEBUFFER OBJECTS 409 • im
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4.4. FRAMEBUFFER OBJECTS 411 • At
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4.4. FRAMEBUFFER OBJECTS 413 4.4.5
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4.4. FRAMEBUFFER OBJECTS 415 Layer
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Chapter 5 Special Functions This ch
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5.1. EVALUATORS 419 Integers Reals
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5.1. EVALUATORS 421 The second way
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5.2. SELECTION 423 EvalCoord2(p *
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5.3. FEEDBACK 425 of each primitive
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5.4. TIMER QUERIES 427 Type coordin
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5.5. DISPLAY LISTS 429 started or s
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5.5. DISPLAY LISTS 431 provides an
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5.5. DISPLAY LISTS 433 Framebuffer
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5.7. SYNC OBJECTS AND FENCES 435 Pr
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5.7. SYNC OBJECTS AND FENCES 437 If
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5.8. HINTS 439 Target PERSPECTIVE_C
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6.1. QUERYING GL STATE 441 void Get
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6.1. QUERYING GL STATE 443 6.1.3 En
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6.1. QUERYING GL STATE 445 TEXTURE_
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6.1. QUERYING GL STATE 447 • form
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6.1. QUERYING GL STATE 449 6.1.5 Sa
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6.1. QUERYING GL STATE 451 format N
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6.1. QUERYING GL STATE 453 are used
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6.1. QUERYING GL STATE 455 the corr
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6.1. QUERYING GL STATE 457 target i
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6.1. QUERYING GL STATE 459 If sync
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6.1. QUERYING GL STATE 461 or size)
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6.1. QUERYING GL STATE 463 If pname
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6.1. QUERYING GL STATE 465 If pname
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6.1. QUERYING GL STATE 467 range[0]
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6.1. QUERYING GL STATE 469 return t
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6.1. QUERYING GL STATE 471 • If p
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6.1. QUERYING GL STATE 473 6.1.21 S
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6.2. STATE TABLES 475 Operations on
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6.2. STATE TABLES 477 when not usin
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6.2. STATE TABLES 479 Get value Typ
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6.2. STATE TABLES 529 Get Command M
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6.2. STATE TABLES 531 Get Command M
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A.2. MULTI-PASS ALGORITHMS 543 A.2
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A.4. TESSELLATION INVARIANCE 545 Ru
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A.5. WHAT ALL THIS MEANS 547 Rule 7
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549 stencil comparison function; it
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Appendix C Compressed Texture Image
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C.1. RGTC COMPRESSED TEXTURE IMAGE
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Appendix D Shared Objects and Multi
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D.2. SYNC OBJECTS AND MULTIPLE CONT
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D.3. PROPAGATING CHANGES TO OBJECTS
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E.1. CORE AND COMPATIBILITY PROFILE
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E.2. DEPRECATED AND REMOVED FEATURE
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E.2. DEPRECATED AND REMOVED FEATURE
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Appendix F Version 3.0 and Before O
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F.3. CHANGED TOKENS 569 New Token N
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F.5. CREDITS AND ACKNOWLEDGEMENTS 5
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F.5. CREDITS AND ACKNOWLEDGEMENTS 5
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G.2. DEPRECATION MODEL 575 state ha
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G.4. CREDITS AND ACKNOWLEDGEMENTS 5
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Appendix H Version 3.2 OpenGL versi
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H.4. CHANGE LOG 581 New Token Name
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H.5. CREDITS AND ACKNOWLEDGEMENTS 5
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H.5. CREDITS AND ACKNOWLEDGEMENTS 5
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I.2. DEPRECATION MODEL 587 ing fact
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I.4. CREDITS AND ACKNOWLEDGEMENTS 5
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J.1. NEW FEATURES 591 • Mechanism
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J.4. CREDITS AND ACKNOWLEDGEMENTS 5
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Appendix K Version 4.1 OpenGL versi
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K.5. CREDITS AND ACKNOWLEDGEMENTS 5
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Appendix L Extension Registry, Head
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L.3. ARB EXTENSIONS 601 L.3.2 be am
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L.3. ARB EXTENSIONS 603 L.3.13 Text
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L.3. ARB EXTENSIONS 605 L.3.28 Open
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L.3. ARB EXTENSIONS 607 The name st
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L.3. ARB EXTENSIONS 609 equivalent
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L.3. ARB EXTENSIONS 611 L.3.59 Seam
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L.3. ARB EXTENSIONS 613 The name st
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L.3. ARB EXTENSIONS 615 L.3.84 Tess
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L.3. ARB EXTENSIONS 617 L.3.97 Cont
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INDEX 619 519 ACTIVE UNIFORM BLOCKS
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INDEX 621 CallList, 31, 430, 431, 5
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INDEX 623 RGTC2, 280, 285, 554 COMP
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INDEX 625 DEPTH FUNC, 500 DEPTH RAN
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INDEX 627 EvalCoord1f, 421 EvalCoor
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INDEX 629 FramebufferRenderbuffer,
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INDEX 631 GetQueryObjectiv, 457, 52
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INDEX 633 GL ARB texture cube map a
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INDEX 635 HISTOGRAM ALPHA SIZE, 453
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INDEX 637 layout, 126 LEFT, 360, 37
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INDEX 639 MAX CLIP DISTANCES, 528,
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INDEX 641 MAX TRANSFORM FEEDBACK -
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INDEX 643 PACK IMAGE HEIGHT, 382, 4
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INDEX 645 101, 143, 464 PROGRAM BIN
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INDEX 647 189, 190 RETURN, 379 RG,
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INDEX 649 SECONDARY COLOR ARRAY - P
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INDEX 651 TESS GEN VERTEX ORDER, 46
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INDEX 653 TEXTURE CUBE MAP POS- ITI
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INDEX 655 Uniform*i{v}, 121, 122 Un
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INDEX 657 UNSIGNED SHORT 5 6 5 REV,
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OpenGL 4.1 (Compatibility Profile) - July 25, 2010

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