OpenGL 4.2 (Compatibility Profile) - April 27, 2012

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2.1. OPENGL FUNDAMENTALS 10 ⎧ 0.0, E = 0, M = 0 ⎪⎨ 2 −14 × M 32 , E = 0, M ≠ 0 V = 2 E−15 × ( 1 + M ) 32 , 0 < E < 31 Inf , E = 31, M = 0 ⎪⎩ NaN , E = 31, M ≠ 0 If the floating-point number is interpreted as an unsigned 10-bit integer N, then ⌊ N E = 32⌋ M = N mod 32. When a floating-point value is converted to an unsigned 10-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 64512 (the maximum finite representable unsigned 10-bit floating-point value) are converted to 64512. 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 10-bit floating-point value is legal as input to a GL command that accepts 10-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. Fixed-Point Computation Vertex attributes may be specified using a 32-bit two’s-complement signed representation with 16 bits to the right of the binary point (fraction bits). General Requirements Some calculations require division. In such cases (including implied divisions required by vector normalizations), a division by zero produces an unspecified result but must not lead to GL interruption or termination. OpenGL 4.2 (Compatibility Profile) - April 27, 2012
2.1. OPENGL FUNDAMENTALS 11 2.1.2 Fixed-Point Data Conversions When generic vertex attributes and pixel color or depth components are represented as integers, they are often (but not always) considered to be normalized. Normalized integer values are treated specially when being converted to and from floating-point values, and are usually referred to as normalized fixed-point. Such values are always either signed or unsigned. In the remainder of this section, b denotes the bit width of the fixed-point integer representation. When the integer is one of the types defined in table 2.2, b is the minimum required bit width of that type. When the integer is a texture or renderbuffer color or depth component (see section 3.10.3), b is the number of bits allocated to that component in the internal format of the texture or renderbuffer. When the integer is a framebuffer color or depth component (see section 4), b is the number of bits allocated to that component in the framebuffer. For framebuffer and renderbuffer A components, b must be at least 2 if the buffer does not contain an A component, or if there is only 1 bit of A in the buffer. The signed and unsigned fixed-point representations are assumed to be b-bit binary twos-complement integers and binary unsigned integers, respectively. The signed fixed-point representation may be treated in one of two ways, as discussed below. All the conversions described below are performed as defined, even if the implemented range of an integer data type is greater than the minimum required range. Conversion from Normalized Fixed-Point to Floating-Point Unsigned normalized fixed-point integers represent numbers in the range [0, 1]. The conversion from an unsigned normalized fixed-point value c to the corresponding floating-point value f is defined as f = c 2 b − 1 . (2.1) Signed normalized fixed-point integers represent numbers in the range [−1, 1]. The conversion from a signed normalized fixed-point value c to the corresponding floating-point value f is performed using { } c f = max 2 b−1 − 1 , −1.0 . (2.2) Only the range [−2 b−1 + 1, 2 b−1 − 1] is used to represent signed fixed-point values in the range [−1, 1]. For example, if b = 8, then the integer value -127 corresponds to -1.0 and the value 127 corresponds to 1.0. Note that while zero can be 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 2.15 Tessellation . .
Page 7 and 8: CONTENTS v 3.12 Fog . . . . . . . .
Page 9 and 10: CONTENTS vii A Invariance 587 A.1 R
Page 11 and 12: CONTENTS ix L Version 4.2 658 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 available to the us
Page 25 and 26: Chapter 2 OpenGL Operation 2.1 Open
Page 27 and 28: 2.1. OPENGL FUNDAMENTALS 7 section
Page 29: 2.1. OPENGL FUNDAMENTALS 9 must not
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
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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
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2.9. BUFFER OBJECTS 61 void BufferS
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2.9. BUFFER OBJECTS 63 Name Value B
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2.9. BUFFER OBJECTS 65 Unmapping Bu
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2.9. BUFFER OBJECTS 67 binding corr
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2.11. RECTANGLES 69 The command voi
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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 • There
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2.14. VERTEX SHADERS 107 • A bool
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2.14. VERTEX SHADERS 109 2.14.6 Ver
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2.14. VERTEX SHADERS 111 convention
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2.14. VERTEX SHADERS 113 LinkProgra
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2.14. VERTEX SHADERS 115 Similarly,
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2.14. VERTEX SHADERS 117 uniformBlo
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2.14. VERTEX SHADERS 119 REFERENCED
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2.14. VERTEX SHADERS 121 of the val
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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 passed to
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2.14. VERTEX SHADERS 129 If the val
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2.14. VERTEX SHADERS 131 • Member
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2.14. VERTEX SHADERS 133 matrix is
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2.14. VERTEX SHADERS 135 Additional
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2.14. VERTEX SHADERS 137 for the sh
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2.14. VERTEX SHADERS 139 2.14.9 Sam
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2.14. VERTEX SHADERS 141 ponents. F
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2.14. VERTEX SHADERS 143 • any va
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2.14. VERTEX SHADERS 145 • Per ve
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2.14. VERTEX SHADERS 147 • the co
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2.14. VERTEX SHADERS 149 Texture lo
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2.14. VERTEX SHADERS 151 • the ve
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2.14. VERTEX SHADERS 153 The INVALI
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2.14. VERTEX SHADERS 155 fragment s
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2.14. VERTEX SHADERS 157 command th
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2.14. VERTEX SHADERS 159 accessed t
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2.15. TESSELLATION 161 • A boolea
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2.15. TESSELLATION 163 output varia
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2.15. TESSELLATION 165 Tessellation
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2.15. TESSELLATION 167 variables. U
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2.15. TESSELLATION 169 tive influen
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2.15. TESSELLATION 171 are typicall
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2.15. TESSELLATION 173 Figure 2.14.
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2.15. TESSELLATION 175 and horizont
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2.15. TESSELLATION 177 second outer
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2.15. TESSELLATION 179 Tessellation
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2.15. TESSELLATION 181 vertex being
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2.16. GEOMETRY SHADERS 183 2.16 Geo
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2.16. GEOMETRY SHADERS 185 Geometry
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2.16. GEOMETRY SHADERS 187 • Fron
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2.16. GEOMETRY SHADERS 189 • Stru
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2.16. GEOMETRY SHADERS 191 The buil
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2.17. COORDINATE TRANSFORMATIONS 19
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2.17. COORDINATE TRANSFORMATIONS 19
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2.18. ASYNCHRONOUS QUERIES 197 Each
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2.19. CONDITIONAL RENDERING 199 2.1
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2.20. TRANSFORM FEEDBACK 201 return
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2.20. TRANSFORM FEEDBACK 203 Transf
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2.20. TRANSFORM FEEDBACK 205 may be
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2.21. PRIMITIVE QUERIES 207 void Dr
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2.22. FLATSHADING 209 Primitive typ
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2.23. PRIMITIVE CLIPPING 211 the pl
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2.24. FINAL COLOR PROCESSING 213 2.
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2.25. CURRENT RASTER POSITION 215 f
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2.25. CURRENT RASTER POSITION 217 s
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219 Fixed function or fragment shad
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3.3. ANTIALIASING 221 In RGBA mode,
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3.3. ANTIALIASING 223 void GetMulti
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3.4. POINTS 225 size specifies the
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3.4. POINTS 227 with the vertex cor
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3.4. POINTS 229 6.0 5.0 4.0 3.0 2.0
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3.4. POINTS 231 where size is the p
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¦ ¦ ¦ ¦ ¦ ¦ ¦ ¦ ¦ ¦ ¦ ¦
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3.5. LINE SEGMENTS 235 Line Stipple
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3.5. LINE SEGMENTS 237 Figure 3.6.
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3.6. POLYGONS 239 3.6.1 Basic Polyg
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3.6. POLYGONS 241 For a polygon wit
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3.6. POLYGONS 243 3.6.5 Depth Offse
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3.7. PIXEL RECTANGLES 245 polygon r
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3.7. PIXEL RECTANGLES 247 3.7.2 The
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3.7. PIXEL RECTANGLES 249 Map Name
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3.7. PIXEL RECTANGLES 251 The color
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3.7. PIXEL RECTANGLES 253 In additi
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3.7. PIXEL RECTANGLES 255 Special f
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3.7. PIXEL RECTANGLES 257 Histogram
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¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡
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3.7. PIXEL RECTANGLES 261 type Para
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3.7. PIXEL RECTANGLES 263 Element S
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3.7. PIXEL RECTANGLES 265 type Para
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3.7. PIXEL RECTANGLES 267 UNSIGNED_
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3.7. PIXEL RECTANGLES 269 FLOAT_32_
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3.7. PIXEL RECTANGLES 271 Conversio
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3.7. PIXEL RECTANGLES 273 For integ
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3.7. PIXEL RECTANGLES 275 Arithmeti
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3.7. PIXEL RECTANGLES 277 The inter
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3.7. PIXEL RECTANGLES 279 Border Mo
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3.7. PIXEL RECTANGLES 281 where C[i
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3.7. PIXEL RECTANGLES 283 B i and A
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¡ ¡ ¡ ¡ ¡ ¡ 3.8. BITMAPS 285
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3.10. TEXTURING 287 not be performe
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3.10. TEXTURING 289 a texture matri
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3.10. TEXTURING 291 returns TRUE if
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3.10. TEXTURING 293 if TEXTURE_WRAP
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3.10. TEXTURING 295 parameter UNPAC
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3.10. TEXTURING 297 Generic compres
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3.10. TEXTURING 299 N is the number
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3.10. TEXTURING 301 Sized internal
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3.10. TEXTURING 303 Sized Base D S
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3.10. TEXTURING 305 Thus the last t
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3.10. TEXTURING 307 of TEXTURE_CUBE
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3.10. TEXTURING 309 1.0 5.0 4 3 t v
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3.10. TEXTURING 311 index values fr
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3.10. TEXTURING 313 counterparts. A
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3.10. TEXTURING 315 If the internal
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3.10. TEXTURING 317 by b s , b w ,
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3.10. TEXTURING 319 • data points
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3.10. TEXTURING 321 FORMAT, and TEX
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3.10. TEXTURING 323 If either width
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3.10. TEXTURING 325 Internal format
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3.10. TEXTURING 327 Name Type Legal
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3.10. TEXTURING 329 Major Axis Dire
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3.10. TEXTURING 331 Scale Factor an
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3.10. TEXTURING 333 where ∆x = x
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3.10. TEXTURING 335 If the selected
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3.10. TEXTURING 337 Figure 3.11. An
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3.10. TEXTURING 339 where max(1,
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3.10. TEXTURING 341 The internal fo
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3.10. TEXTURING 343 A cube map arra
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3.10. TEXTURING 345 and maximum lev
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3.10. TEXTURING 347 • If executin
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3.10. TEXTURING 349 • target is n
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3.10. TEXTURING 351 When target is
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3.10. TEXTURING 353 Texture Base RE
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3.10. TEXTURING 355 SRCn_RGB OPERAN
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3.10. TEXTURING 357 If the value of
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3.10. TEXTURING 359 bound texture i
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3.10. TEXTURING 361 state, all text
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3.10. TEXTURING 363 Texture target
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3.10. TEXTURING 365 unit, as enumer
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3.10. TEXTURING 367 • reading the
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3.12. FOG 369 Color sum is enabled
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3.13. FRAGMENT SHADERS 371 sections
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3.13. FRAGMENT SHADERS 373 A fragme
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3.13. FRAGMENT SHADERS 375 as follo
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3.13. FRAGMENT SHADERS 377 The buil
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3.13. FRAGMENT SHADERS 379 void Bin
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3.14. ANTIALIASING APPLICATION 381
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383 the GL context, the framebuffer
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4.1. PER-FRAGMENT OPERATIONS 385 th
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4.1. PER-FRAGMENT OPERATIONS 387 Al
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4.1. PER-FRAGMENT OPERATIONS 389 vo
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4.1. PER-FRAGMENT OPERATIONS 391 ba
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4.1. PER-FRAGMENT OPERATIONS 393 Bl
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4.1. PER-FRAGMENT OPERATIONS 395 Mo
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4.1. PER-FRAGMENT OPERATIONS 397 Fu
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4.1. PER-FRAGMENT OPERATIONS 399 is
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4.1. PER-FRAGMENT OPERATIONS 401 Ar
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4.2. WHOLE FRAMEBUFFER OPERATIONS 4
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4.3. DRAWING, READING, AND COPYING
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¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡
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4.4. FRAMEBUFFER OBJECTS 427 4.3.4
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4.4. FRAMEBUFFER OBJECTS 429 Frameb
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4.4. FRAMEBUFFER OBJECTS 431 • A
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4.4. FRAMEBUFFER OBJECTS 433 Sized
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4.4. FRAMEBUFFER OBJECTS 435 set to
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4.4. FRAMEBUFFER OBJECTS 437 TEXTUR
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4.4. FRAMEBUFFER OBJECTS 439 • If
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4.4. FRAMEBUFFER OBJECTS 441 For th
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4.4. FRAMEBUFFER OBJECTS 443 • im
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4.4. FRAMEBUFFER OBJECTS 445 • At
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4.4. FRAMEBUFFER OBJECTS 447 4.4.5
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4.4. FRAMEBUFFER OBJECTS 449 Layer
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Chapter 5 Special Functions This ch
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5.1. EVALUATORS 453 Integers Reals
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5.1. EVALUATORS 455 The second way
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5.2. SELECTION 457 EvalCoord2(p *
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5.3. FEEDBACK 459 of each primitive
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5.4. TIMER QUERIES 461 Type coordin
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5.5. DISPLAY LISTS 463 started or s
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5.5. DISPLAY LISTS 465 provides an
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5.5. DISPLAY LISTS 467 Framebuffer
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5.7. SYNC OBJECTS AND FENCES 469 Pr
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5.7. SYNC OBJECTS AND FENCES 471 If
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5.8. HINTS 473 Target PERSPECTIVE_C
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6.1. QUERYING GL STATE 475 void Get
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6.1. QUERYING GL STATE 477 6.1.3 En
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6.1. QUERYING GL STATE 479 target m
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6.1. QUERYING GL STATE 481 • form
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6.1. QUERYING GL STATE 483 When the
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6.1. QUERYING GL STATE 485 format N
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6.1. QUERYING GL STATE 487 target m
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6.1. QUERYING GL STATE 489 resets a
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6.1. QUERYING GL STATE 491 names, a
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6.1. QUERYING GL STATE 493 void Get
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6.1. QUERYING GL STATE 495 To query
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6.1. QUERYING GL STATE 497 returns
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6.1. QUERYING GL STATE 499 which ha
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6.1. QUERYING GL STATE 501 tion att
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6.1. QUERYING GL STATE 503 obtain t
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6.1. QUERYING GL STATE 505 returns
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6.1. QUERYING GL STATE 507 • If p
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6.1. QUERYING GL STATE 509 If pname
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6.1. QUERYING GL STATE 511 Stack At
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6.2. STATE TABLES 513 Type code Exp
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6.2. STATE TABLES 515 Get value Typ
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6.2. STATE TABLES 537 Get Command I
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6.2. STATE TABLES 553 Get Command I
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6.2. STATE TABLES 569 Get Command M
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Appendix A Invariance The OpenGL sp
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A.3. INVARIANCE RULES 589 • Sciss
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A.4. TESSELLATION INVARIANCE 591
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A.5. ATOMIC COUNTER INVARIANCE 593
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Appendix B Corollaries The followin
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597 16. ColorMaterial has no effect
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C.1. RGTC COMPRESSED TEXTURE IMAGE
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C.2. BPTC 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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Appendix E Profiles and the Depreca
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E.2. DEPRECATED AND REMOVED FEATURE
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F.2. DEPRECATION MODEL 627 • Fine
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F.4. CHANGE LOG 629 • Changed Cle
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F.5. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix G Version 3.1 OpenGL versi
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G.4. CREDITS AND ACKNOWLEDGEMENTS 6
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G.4. CREDITS AND ACKNOWLEDGEMENTS 6
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H.2. DEPRECATION MODEL 639 • BGRA
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H.4. CHANGE LOG 641 • Change flat
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H.5. CREDITS AND ACKNOWLEDGEMENTS 6
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Appendix I Version 3.3 OpenGL versi
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I.3. CHANGE LOG 647 I.3 Change Log
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Appendix J Version 4.0 OpenGL versi
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J.2. DEPRECATION MODEL 651 (GL_ARB_
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J.4. CREDITS AND ACKNOWLEDGEMENTS 6
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K.2. DEPRECATION MODEL 655 • Abil
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K.5. CREDITS AND ACKNOWLEDGEMENTS 6
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L.2. DEPRECATION MODEL 659 • Inst
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L.4. CHANGE LOG 661 • Change core
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L.4. CHANGE LOG 663 • Add error c
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L.4. CHANGE LOG 665 • Add multisa
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L.4. CHANGE LOG 667 • Remove clam
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L.5. CREDITS AND ACKNOWLEDGEMENTS 6
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M.3. ARB EXTENSIONS 671 combination
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M.3. ARB EXTENSIONS 673 M.3.6 Textu
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M.3. ARB EXTENSIONS 675 M.3.21 Low-
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M.3. ARB EXTENSIONS 677 The name st
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M.3. ARB EXTENSIONS 679 The name st
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M.3. ARB EXTENSIONS 681 M.3.53 Fast
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M.3. ARB EXTENSIONS 683 M.3.65 Cube
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M.3. ARB EXTENSIONS 685 M.3.76 RGB1
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M.3. ARB EXTENSIONS 687 M.3.90 Sepa
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M.3. ARB EXTENSIONS 689 introduced
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Index x, 549 x BIAS, 248, 545 x BIT
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INDEX 693 ATOMIC COUNTER BUFFER REF
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INDEX 695 ClearBuffer*, 199, 220, 4
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INDEX 697 CompressedTexSubImage, 66
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INDEX 699 DEPTH STENCIL ATTACHMENT,
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INDEX 701 558 equal spacing, 169 EQ
Page 723 and 724:
INDEX 703 LAYER TARGETS, 444 FRAMEB
Page 725 and 726:
INDEX 705 GetPixelMap, 477, 549 Get
Page 727 and 728:
INDEX 707 GL ARB shader bit encodin
Page 729 and 730:
INDEX 709 gl BackColor, 106 gl Back
Page 731 and 732:
INDEX 711 304, 327, 328, 352, 353,
Page 733 and 734:
INDEX 713 LIST BIT, 511 LIST INDEX,
Page 735 and 736:
INDEX 715 394, 396, 405, 407, 411,
Page 737 and 738:
INDEX 717 141, 577, 621, 628, 639 M
Page 739 and 740:
INDEX 719 OR, 401 OR INVERTED, 401
Page 741 and 742:
INDEX 721 SCALE, 281 PREVIOUS, 355,
Page 743 and 744:
INDEX 723 RENDER, 458, 459, 586 REN
Page 745 and 746:
INDEX 725 SampleCoverage, 388, 660
Page 747 and 748:
INDEX 727 STENCIL BACK PASS DEPTH -
Page 749 and 750:
INDEX 729 TEXTURE BINDING xD, 529 T
Page 751 and 752:
INDEX 731 157 TEXTURE WIDTH, 315, 3
Page 753 and 754:
INDEX 733 UNIFORM BUFFER START, 495
Page 755 and 756:
INDEX 735 uvec3, 110, 122 uvec4, 11
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OpenGL 4.2 (Compatibility Profile) - April 27, 2012

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