OpenGL 4.2 (Compatibility Profile) - April 27, 2012

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2.1. OPENGL FUNDAMENTALS 8 point operations are accurate to about 1 part in 10 5 . The maximum representable magnitude for all 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. 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 OpenGL 4.2 (Compatibility Profile) - April 27, 2012
2.1. OPENGL FUNDAMENTALS 9 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 An unsigned 10-bit floating-point number has no sign bit, a 5-bit exponent (E), and a 5-bit mantissa (M). The value V of an unsigned 10-bit floating-point number is determined by the following: OpenGL 4.2 (Compatibility Profile) - April 27, 2012
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 2.14.14 Required State
Page 7 and 8: CONTENTS v 3.11 Color Sum . . . . .
Page 9 and 10: CONTENTS vii A Invariance 588 A.1 R
Page 11 and 12: CONTENTS ix L Version 4.2 659 L.1 N
Page 13 and 14: CONTENTS xi M.3.70 BPTC texture com
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 6.29 Pixel Oper
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: 2.3. GL COMMAND SYNTAX 13 describe
Page 35 and 36: 2.3. GL COMMAND SYNTAX 15 indicates
Page 37 and 38: 2.4. BASIC GL OPERATION 17 Transfor
Page 39 and 40: 2.6. BEGIN/END PARADIGM 19 To allow
Page 41 and 42: 2.6. BEGIN/END PARADIGM 21 Vertex C
Page 43 and 44: 2.6. BEGIN/END PARADIGM 23 2.6.1 Be
Page 45 and 46: 2.6. BEGIN/END PARADIGM 25 vertex A
Page 47 and 48: 2.6. BEGIN/END PARADIGM 27 Figure 2
Page 49 and 50: 2.6. BEGIN/END PARADIGM 29 Primitiv
Page 51 and 52: 2.7. VERTEX SPECIFICATION 31 that i
Page 53 and 54: 2.7. VERTEX SPECIFICATION 33 The Te
Page 55 and 56: 2.7. VERTEX SPECIFICATION 35 The Co
Page 57 and 58: 2.7. VERTEX SPECIFICATION 37 When v
Page 59 and 60: 2.8. VERTEX ARRAYS 39 indicates the
Page 61 and 62: 2.8. VERTEX ARRAYS 41 integer value
Page 63 and 64: 2.8. VERTEX ARRAYS 43 does not exis
Page 65 and 66: 2.8. VERTEX ARRAYS 45 and void Enab
Page 67 and 68: 2.8. VERTEX ARRAYS 47 array is enab
Page 69 and 70: 2.8. VERTEX ARRAYS 49 if (mode or p
Page 71 and 72: 2.8. VERTEX ARRAYS 51 The command v
Page 73 and 74: 2.8. VERTEX ARRAYS 53 if (no elemen
Page 75 and 76: 2.8. VERTEX ARRAYS 55 format e t e
Page 77 and 78: 2.9. BUFFER OBJECTS 57 Target name
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2.9. BUFFER OBJECTS 59 Each target
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2.9. BUFFER OBJECTS 61 Name Value B
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2.9. BUFFER OBJECTS 63 Name Value B
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2.9. BUFFER OBJECTS 65 FlushMappedB
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2.9. BUFFER OBJECTS 67 that GL impl
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2.10. VERTEX ARRAY OBJECTS 69 2.10
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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 93 shader, its
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2.14. VERTEX SHADERS 95 If shader i
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2.14. VERTEX SHADERS 97 • One or
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2.14. VERTEX SHADERS 99 any stage.
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2.14. VERTEX SHADERS 101 2.14.4 Pro
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2.14. VERTEX SHADERS 103 been previ
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2.14. VERTEX SHADERS 105 • For ea
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2.14. VERTEX SHADERS 107 • Six un
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2.14. VERTEX SHADERS 109 gram execu
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2.14. VERTEX SHADERS 111 values are
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2.14. VERTEX SHADERS 113 Built-in a
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2.14. VERTEX SHADERS 115 When a pro
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2.14. VERTEX SHADERS 117 void GetAc
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2.14. VERTEX SHADERS 119 bufferInde
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2.14. VERTEX SHADERS 121 program is
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2.14. VERTEX SHADERS 123 OpenGL Sha
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2.14. VERTEX SHADERS 125 OpenGL Sha
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2.14. VERTEX SHADERS 127 ments in t
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2.14. VERTEX SHADERS 129 The Unifor
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2.14. VERTEX SHADERS 131 void Progr
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2.14. VERTEX SHADERS 133 • Arrays
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2.14. VERTEX SHADERS 135 with targe
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2.14. VERTEX SHADERS 137 Each of a
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2.14. VERTEX SHADERS 139 is returne
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2.14. VERTEX SHADERS 141 2.14.10 Im
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2.14. VERTEX SHADERS 143 void Trans
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2.14. VERTEX SHADERS 145 INVALID_OP
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2.14. VERTEX SHADERS 147 The follow
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2.14. VERTEX SHADERS 149 Texture Si
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2.14. VERTEX SHADERS 151 dent const
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2.14. VERTEX SHADERS 153 as describ
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2.14. VERTEX SHADERS 155 Separable
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2.14. VERTEX SHADERS 157 invocation
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2.14. VERTEX SHADERS 159 • COMMAN
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2.14. VERTEX SHADERS 161 • Data w
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2.15. TESSELLATION 163 2.15 Tessell
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2.15. TESSELLATION 165 Tessellation
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2.15. TESSELLATION 167 Similarly to
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2.15. TESSELLATION 169 nent count.
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2.15. TESSELLATION 171 Figure 2.13.
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2.15. TESSELLATION 173 along each t
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2.15. TESSELLATION 175 ermost inner
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2.15. TESSELLATION 181 variables th
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2.15. TESSELLATION 183 Additionally
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2.16. GEOMETRY SHADERS 185 executed
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2.16. GEOMETRY SHADERS 187 forms an
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2.16. GEOMETRY SHADERS 189 subseque
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2.16. GEOMETRY SHADERS 191 The Open
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2.16. GEOMETRY SHADERS 193 rays. Th
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2.17. COORDINATE TRANSFORMATIONS 19
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2.18. ASYNCHRONOUS QUERIES 197 The
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2.18. ASYNCHRONOUS QUERIES 199 the
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2.20. TRANSFORM FEEDBACK 201 the GL
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2.20. TRANSFORM FEEDBACK 203 object
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2.20. TRANSFORM FEEDBACK 205 the ge
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2.20. TRANSFORM FEEDBACK 207 and th
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2.22. FLATSHADING 209 stream index
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2.23. PRIMITIVE CLIPPING 211 void S
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2.23. PRIMITIVE CLIPPING 213 If the
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2.25. CURRENT RASTER POSITION 215 I
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2.25. CURRENT RASTER POSITION 217 R
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Chapter 3 Rasterization Rasterizati
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3.1. DISCARDING PRIMITIVES BEFORE R
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3.3. ANTIALIASING 223 3. The sum of
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3.4. POINTS 225 any other variables
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3.4. POINTS 227 and the fade factor
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¡ ¡ ¡ ¡ ¡ ¡ 3.4. POINTS 229 5
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3.4. POINTS 231 All fragments produ
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3.5. LINE SEGMENTS 233 3.5 Line Seg
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3.5. LINE SEGMENTS 235 top or both
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3.5. LINE SEGMENTS 237 width = 2 wi
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3.6. POLYGONS 239 In addition, duri
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3.6. POLYGONS 241 such a case we re
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3.6. POLYGONS 243 3.6.3 Antialiasin
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3.6. POLYGONS 245 The offset value
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3.7. PIXEL RECTANGLES 247 Parameter
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3.7. PIXEL RECTANGLES 249 Parameter
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3.7. PIXEL RECTANGLES 251 Table Nam
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3.7. PIXEL RECTANGLES 253 width are
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3.7. PIXEL RECTANGLES 255 The red,
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3.7. PIXEL RECTANGLES 257 meanings,
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3.7. PIXEL RECTANGLES 259 the flag.
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3.7. PIXEL RECTANGLES 261 width and
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3.7. PIXEL RECTANGLES 263 Format Na
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3.7. PIXEL RECTANGLES 265 ROW_LENGT
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3.7. PIXEL RECTANGLES 267 UNSIGNED_
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3.7. PIXEL RECTANGLES 269 UNSIGNED_
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3.7. PIXEL RECTANGLES 271 Format Fi
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3.7. PIXEL RECTANGLES 273 void Draw
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3.7. PIXEL RECTANGLES 275 A fragmen
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3.7. PIXEL RECTANGLES 277 Base Inte
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3.7. PIXEL RECTANGLES 279 Base Filt
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3.7. PIXEL RECTANGLES 281 and C c i
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3.7. PIXEL RECTANGLES 283 ALPHA_BIA
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3.8. BITMAPS 285 ignored.) If a par
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3.9. EARLY PER-FRAGMENT TESTS 287 B
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3.10. TEXTURING 289 cube map array
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3.10. TEXTURING 291 returns n previ
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3.10. TEXTURING 293 3.10.2 Sampler
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3.10. TEXTURING 295 An INVALID_ENUM
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3.10. TEXTURING 297 Base Internal F
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3.10. TEXTURING 299 RGB10_A2UI, RGB
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3.10. TEXTURING 301 Sized internal
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3.10. TEXTURING 303 Sized Base A L
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3.10. TEXTURING 305 Compressed Inte
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3.10. TEXTURING 307 for image array
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3.10. TEXTURING 309 When target is
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3.10. TEXTURING 311 3.10.4 Alternat
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3.10. TEXTURING 313 The target argu
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3.10. TEXTURING 315 Counting from z
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3.10. TEXTURING 317 define one-, tw
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3.10. TEXTURING 319 • a, the valu
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3.10. TEXTURING 321 If the target p
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3.10. TEXTURING 323 void TexImage2D
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3.10. TEXTURING 325 When a buffer t
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3.10. TEXTURING 327 void TexParamet
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3.10. TEXTURING 329 Texture paramet
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3.10. TEXTURING 331 When seamless c
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3.10. TEXTURING 333 for a two-dimen
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3.10. TEXTURING 335 and the value r
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3.10. TEXTURING 337 where τ ij is
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3.10. TEXTURING 339 -or- The value
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3.10. TEXTURING 341 The rules for N
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3.10. TEXTURING 343 definition of c
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3.10. TEXTURING 345 height (two- an
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3.10. TEXTURING 347 There is no ima
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3.10. TEXTURING 349 for (i = 0; i <
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3.10. TEXTURING 351 3.10.17 Texture
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3.10. TEXTURING 353 Texture Base Te
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3.10. TEXTURING 355 COMBINE_RGB Tex
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3.10. TEXTURING 357 is 0.0. 3.10.18
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3.10. TEXTURING 359 ferior to conve
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3.10. TEXTURING 361 C f CT 0 CT 1 T
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3.10. TEXTURING 363 ⌊ ⌋ layeror
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3.10. TEXTURING 365 • the type of
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3.10. TEXTURING 367 Supported image
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3.11. COLOR SUM 369 Texel sizes, co
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3.13. FRAGMENT SHADERS 371 f is use
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3.13. FRAGMENT SHADERS 373 The Open
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3.13. FRAGMENT SHADERS 375 • The
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3.13. FRAGMENT SHADERS 377 is defin
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3.13. FRAGMENT SHADERS 379 per-frag
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3.14. ANTIALIASING APPLICATION 381
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Chapter 4 Per-Fragment Operations a
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4.1. PER-FRAGMENT OPERATIONS 385 Fr
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4.1. PER-FRAGMENT OPERATIONS 387 st
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4.1. PER-FRAGMENT OPERATIONS 389 pr
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4.1. PER-FRAGMENT OPERATIONS 391 po
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4.1. PER-FRAGMENT OPERATIONS 393 4.
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4.1. PER-FRAGMENT OPERATIONS 395 th
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4.1. PER-FRAGMENT OPERATIONS 397 or
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4.1. PER-FRAGMENT OPERATIONS 399 Ge
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4.1. PER-FRAGMENT OPERATIONS 401 4.
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4.1. PER-FRAGMENT OPERATIONS 403 ab
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4.2. WHOLE FRAMEBUFFER OPERATIONS 4
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4.3. DRAWING, READING, AND COPYING
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4.4. FRAMEBUFFER OBJECTS 429 4.4.1
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4.4. FRAMEBUFFER OBJECTS 431 • If
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4.4. FRAMEBUFFER OBJECTS 433 with t
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4.4. FRAMEBUFFER OBJECTS 435 Sized
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4.4. FRAMEBUFFER OBJECTS 437 Attach
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4.4. FRAMEBUFFER OBJECTS 439 operat
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4.4. FRAMEBUFFER OBJECTS 441 Render
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4.4. FRAMEBUFFER OBJECTS 443 4.4.4
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4.4. FRAMEBUFFER OBJECTS 445 • Th
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4.4. FRAMEBUFFER OBJECTS 447 Otherw
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4.4. FRAMEBUFFER OBJECTS 449 corres
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4.4. FRAMEBUFFER OBJECTS 451 When c
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5.1. EVALUATORS 453 target k Values
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5.1. EVALUATORS 455 void EvalCoord{
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5.1. EVALUATORS 457 for i = q 1 to
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5.2. SELECTION 459 LoadName replace
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5.3. FEEDBACK 461 buffer is a point
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5.4. TIMER QUERIES 463 feedback-lis
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5.5. DISPLAY LISTS 465 pointers whi
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5.5. DISPLAY LISTS 467 the effect o
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5.6. FLUSH AND FINISH 469 setting;
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5.7. SYNC OBJECTS AND FENCES 471 vo
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5.8. HINTS 473 See appendix D.2 for
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Chapter 6 State and State Requests
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6.1. QUERYING GL STATE 477 that mas
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6.1. QUERYING GL STATE 479 data is
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6.1. QUERYING GL STATE 481 turned s
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6.1. QUERYING GL STATE 483 Base Int
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6.1. QUERYING GL STATE 485 INVALID_
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6.1. QUERYING GL STATE 487 type Nam
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6.1. QUERYING GL STATE 489 If reset
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6.1. QUERYING GL STATE 491 Value CO
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6.1. QUERYING GL STATE 493 For occl
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6.1. QUERYING GL STATE 495 returns
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6.1. QUERYING GL STATE 497 COUNTER_
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6.1. QUERYING GL STATE 499 If pname
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6.1. QUERYING GL STATE 503 of this
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6.1. QUERYING GL STATE 505 void Get
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6.1. QUERYING GL STATE 507 generate
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6.1. QUERYING GL STATE 511 take a b
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6.2. STATE TABLES 513 state variabl
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6.2. STATE TABLES 515 OLD NEW Get v
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6.2. STATE TABLES 517 Get value Typ
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6.2. STATE TABLES 525 Get Command I
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6.2. STATE TABLES 547 Get Command I
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6.2. STATE TABLES 573 Get Command M
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A.2. MULTI-PASS ALGORITHMS 589 A.2
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A.3. INVARIANCE RULES 591 Rule 3 Th
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A.4. TESSELLATION INVARIANCE 593 if
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A.6. WHAT ALL THIS MEANS 595 Becaus
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597 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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C.2. BPTC COMPRESSED TEXTURE IMAGE
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D.1. OBJECT DELETION BEHAVIOR 615 m
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D.3. PROPAGATING CHANGES TO OBJECTS
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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 629 New Token N
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F.5. CREDITS AND ACKNOWLEDGEMENTS 6
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F.5. CREDITS AND ACKNOWLEDGEMENTS 6
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G.2. DEPRECATION MODEL 635 state ha
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G.4. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix H Version 3.2 OpenGL versi
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H.4. CHANGE LOG 641 New Token Name
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H.5. CREDITS AND ACKNOWLEDGEMENTS 6
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H.5. CREDITS AND ACKNOWLEDGEMENTS 6
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I.2. DEPRECATION MODEL 647 ing fact
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I.4. CREDITS AND ACKNOWLEDGEMENTS 6
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J.1. NEW FEATURES 651 • Mechanism
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J.4. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix K Version 4.1 OpenGL versi
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K.5. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix L Version 4.2 OpenGL versi
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L.4. CHANGE LOG 661 New Token Name
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L.4. CHANGE LOG 663 GetActiveUnifor
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L.4. CHANGE LOG 665 • Clean up de
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L.4. CHANGE LOG 667 • Minor bugfi
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L.5. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix M Extension Registry, Head
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M.3. ARB EXTENSIONS 673 M.3.2 be am
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M.3. ARB EXTENSIONS 675 M.3.13 Text
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M.3. ARB EXTENSIONS 677 M.3.28 Open
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M.3. ARB EXTENSIONS 679 The name st
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M.3. ARB EXTENSIONS 681 equivalent
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M.3. ARB EXTENSIONS 683 M.3.59 Seam
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M.3. ARB EXTENSIONS 685 M.3.70 BPTC
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M.3. ARB EXTENSIONS 687 M.3.83 Shad
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M.3. ARB EXTENSIONS 689 M.3.96 Debu
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M.3. ARB EXTENSIONS 691 M.3.108 Sha
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INDEX 693 BUFFERS, 500 ActiveShader
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INDEX 695 BLEND, 351, 354, 394, 400
Page 717 and 718:
INDEX 697 COLOR MATERIAL, 87, 90, 5
Page 719 and 720:
INDEX 699 CopyConvolutionFilter*, 4
Page 721 and 722:
INDEX 701 DOUBLE VEC3, 123 DOUBLE V
Page 723 and 724:
INDEX 703 FLOAT, 39, 44, 54-56, 122
Page 725 and 726:
INDEX 705 GenSamplers, 293-295, 467
Page 727 and 728:
INDEX 707 GetTexLevelParameter, 479
Page 729 and 730:
INDEX 709 GL ARB texture swizzle, 6
Page 731 and 732:
INDEX 711 iimage2DArray, 126 iimage
Page 733 and 734:
INDEX 713 313-315, 317, 318, 321, 3
Page 735 and 736:
INDEX 715 MAP1 TEXTURE COORD 3, 453
Page 737 and 738:
INDEX 717 MAX GEOMETRY UNIFORM - BL
Page 739 and 740:
INDEX 719 GATHER OFFSET, 333, 577 M
Page 741 and 742:
INDEX 721 PIXEL MAP B TO B, 250, 27
Page 743 and 744:
INDEX 723 PROXY POST COLOR MATRIX -
Page 745 and 746:
INDEX 725 rg16 snorm, 366 RG16F, 29
Page 747 and 748:
INDEX 727 SamplerParameterI{i ui}v,
Page 749 and 750:
INDEX 729 T, 78, 478 T2F C3F V3F, 5
Page 751 and 752:
INDEX 731 TEXTURE COORD ARRAY - POI
Page 753 and 754:
INDEX 733 PAUSED, 565, 661, 662 TRA
Page 755 and 756:
INDEX 735 UNPACK SKIP PIXELS, 247,
Page 757 and 758:
INDEX 737 VERTEX ATTRIB ARRAY NOR-
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OpenGL 4.2 (Compatibility Profile) - April 27, 2012

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