glsl shader slides
Post on 12-Feb-2022
16 Views
Preview:
TRANSCRIPT
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
Announcements
• Homework 2 Due
• Project 3 Released
• Project 3 Vote
• Midterm Exam Next Week!
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
OpenGL Pipeline! !"#$"%&&%'()*!+,)(+-)
! .)"/)0*,"#1)22#"2
! 3"%$&)-/*,"#1)22#"2
Simplified OpenGL Pipeline
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Vertex Data
Framebuffer
More Detail
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
s
Eye Positions
Eye Normals
Colors
Position
Normal
Color
(Interpolated)
Programmability
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
s
Eye Positions
Eye Normals
Colors
Position
Normal
Color
(Interpolated)Programmable Programmable
Variable Types• const - The declaration is of a compile time constant
• attribute - Global variables that may change per vertex, that are passed from the OpenGL application to vertex shaders. This qualifier can only be used in vertex shaders. For the shader this is a read-only variable.
• varying - used for interpolated data between a vertex shader and a fragment shader. Available for writing in the vertex shader, and read-only in a fragment shader.
• uniform - Global variables that may change per primitive (may not be set inside glBegin,/glEnd), that are passed from the OpenGL application to the shaders. This qualifier can be used in both vertex and fragment shaders. For the shaders this is a read-only variable.
Attribute Variables
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
sAttr
ibute
sEye Positions
Eye Normals
Colors
Position
Normal
Color
(Interpolated)Programmable Programmable
Varying Variables
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
sAttr
ibute
sEye Positions
Eye Normals
Colors
Varying
Position
Normal
Color
Varying
(Interpolated)Programmable Programmable
Uniform Variables
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
sAttr
ibute
s
Eye Normals
Colors
Varying
Position
Normal
Color
Varying
(Interpolated)Programmable Programmable
Uniform
Eye Positions
Why So Fast?
VertexOperation
Rasterization(Interpolation)
FragmentOperation
Posit
ions
Framebuffer
Nor
mals
Color
sAttr
ibute
s
Eye Normals
Colors
Varying
Position
Normal
Color
Varying
(Interpolated)Programmable Programmable
Uniform
Eye Positions
~4 Vertex Shaders
~16 Fragment Shaders
Types and Functions!"#$%&#'()"'*%#+',(
-./012()345/1647(89:;(<;;=(!"#$$!"#%&'()!*+,-#.$!"#/$!"#$0$(>?5/60(@?A./164.A()345/1647(89:B(<;;=(1))-$$"--.$1234$0$1))-$$"56.$1234$0$1234$$37,"-.$234/$234$0$1234$$37,"-.$&234/$&234$0$1234$$37,"-.$1234/$1234$0$1234$$8%3"#3%9:"5.$234/$234$0$1234$$8%3"#3%9:"5.$&234/$&234$0$1234$$8%3"#3%9:"5;7,"-.$234/$234$0$1234$$8%3"#3%9:"5;7,"-.$&234/$&234$0$1234$$-3<<9:"5.$234/$234$0$1234$$-3<<9:"5.$&234/$&234$0$1234$$-3<<9:"5;7,"-.$234/$234$0$1234$$-3<<9:"5;7,"-.$&234/$&234$0$1234$$5)#.$1234$0$1234$$5)#;7,"-.$234/$234$0$1234$$5)#;7,"-.$&234/$&234$0$1234$$5)#;7,"-.$1234/$1234$0$$
C?DE(234$=$234>$?$234@$?$234A$!"#$=$!"#>$?$!"#@$?$!"#A$&234$=$&234>$?$&234@$?$&234A$1234$=$1234>$?$1234@$?$1234A$83596*3$=$B-)"#$?$234>$?$234@$?$234A$
F?6G?/015()345/1647(89:H(<;H=(234A$$ B#%"5<B)%!.0$$$$$$$$$$$!"#$"%&'()*$234@$$ 4%)<<.$234@/$234@$0$B-)"#$$ C&<#"543.$83596*3/$83596*3$0$B-)"#$$$ C)#.$83596*3/$83596*3$0$83596*3$$ B"43B)%D"%C.$83596*3$!/$83596*3&+/$83596*3$($0$B-)"#$$$ -358#:.$83596*3$0$83596*3$$ 5)%!"-&E3.$83596*3$0$83596*3$$ %3B-34#.$83596*3&+/$83596*3$($0$83596*3$$ %3B%"4#.$83596*3&+/$83596*3$(/$B-)"#$"$,$0$
I4JA?(.4K(%01J646G?/0D()345/1647(89:L(<;L=(83596*3$$<&5.$83596*3$0$83596*3$$4)<.$83596*3$0$83596*3$$#"5.$83596*3$0$$83596*3$$"<&5.$83596*3$0$83596*3$$"4)<.$83596*3$0$83596*3$$"#"5.$83596*3/$83596*3$0$83596*3$$"#"5.$83596*3$0$$83596*3$$%"C&"5<.$83596*3$0 83596*3$$C38%33<.$83596*3$0$$
*6GG64()345/1647(89:M(<;N=(83596*3$$"1<.$83596*3$0$83596*3$$43&-.$83596*3$0$83596*3$$4-"!*.$83596*3/$83596*3/$83596*3$0$83596*3$$4-"!*.$83596*3/$B-)"#/$B-)"#$0$83596*3$$B-))%.$83596*3$0$83596*3$$B%"4#.$83596*3$0$83596*3$$!"'.$83596*3/$83596*3$0$83596*3$$!"'.$83596*3/$B-)"#$0$83596*3$$!&5.$83596*3/$83596*3$0$83596*3$$!&5.$83596*3/$B-)"#$0$83596*3$$!&'.$83596*3/$83596*3/$83596*3$0$83596*3$$!&'.$83596*3/$83596*3/$B-)"#$0$83596*3$$!)C.$83596*3/$83596*3$0$83596*3$$!)C.$83596*3/$B-)"#$0$83596*3$$<&85.$83596*3$0$83596*3$$<!))#:<#3*.$83596*3/$83596*3/$83596*3$0$83596*3$$<!))#:<#3*.$B-)"#/$B-)"#/$83596*3$0$83596*3$$<#3*.$83596*3/$83596*3$0$83596*3$$<#3*.$B-)"#/$83596*3$0$$
O2<64?4/1.A()345/1647(89:N(<;N=(83596*3$$*)D.$83596*3/$83596*3$0$83596*3$$3'*.$83596*3$0$83596*3$$-)8.$83596*3$0$83596*3$$3'*>.$83596*3$0$83596*3$$-)8>.$83596*3$0$83596*3$$<7%#.$83596*3$0$83596*3$$&523%<3<7%#.$83596*3$0$
)0.JG?4/(P065?7714J()345/1647(89:9(<;9=($&-#,./"0$&'()*$83596*3$$CFC'.$83596*3$0$83596*3$$CFC6.$83596*3$0$83596*3$$BD&C#:.$83596*3$0
%?2/30?($66Q3<()345/1647(89:R(<;B=$$$'1$230,4&52,6&$"#/&26&-#,./"0$&'()*&234A$$#3'#,%3GH.$<"!*-3%GH/$B-)"#$I/B-)"#$52,6J$0$234A$$#3'#,%3GHK%)L.$<"!*-3%GH/$234>$I/B-)"#$52,6J$0$234A$$#3'#,%3GHK%)L.$<"!*-3%GH/$234A$I/B-)"#$52,6J$0$$234A$$#3'#,%3>H.$<"!*-3%>H/$234>$I/B-)"#$52,6J$0$234A$$#3'#,%3>HK%)L.$<"!*-3%>H/$234@$I/B-)"#$52,6J$0$234A$$#3'#,%3>HK%)L.$<"!*-3%>H/$234A$I/B-)"#$52,6J$0$$234A$$#3'#,%3@H.$<"!*-3%@H/$234@$I/B-)"#$52,6J$0$234A$$#3'#,%3@HK%)L.$<"!*-3%@H/$234A$I/B-)"#$52,6J$0$$234A$$#3'#,%3(,13.$<"!*-3%(,13/$234@$I/B-)"#$52,6J$0$$234A$$<:"C)DGH.$<"!*-3%GHM:"C)D/$234@$I/B-)"#$52,6J$0$234A$$<:"C)D>H.$<"!*-3%>HM:"C)D/$234@$I/B-)"#$52,6J$0$234A$$<:"C)DGHK%)L.$<"!*-3%GHM:"C)D/$234A$I/B-)"#$52,6J$0$234A$$<:"C)D>HK%)L.$<"!*-3%>HM:"C)D/$234A$I/B-)"#$52,6J$0$
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
'617?()345/1647(89:V(<BW=(B-)"#$$5)&<3G.$83596*3$0$234>$$5)&<3>.$83596*3$0$234@$$5)&<3@.$83596*3$0$234A$$5)&<3A.$83596*3$0$
+<?4F$X(,T.K14J($.4J3.J?(8F$,$=(Y315Q(@?Z?0?45?(F31K?$
$H3<4%&13<$ONMN$23%<&)5$GPGQ/$"<$&54-,C3C$&5$R*35ON$2>PQ/$"5C$<*34&B&3C$16$S9:3$R*35ONT$M:"C&58$N"58,"83S/$23%<&)5$GPGQPUVP$$M34#&)5$"5C$*"83$5,!13%<$%3B3%$#)$#:"#$23%<&)5$)B$#:3$<*34P$
P@OP@+*O,,+@(8M:M(<V=$W$WC3B&53$W,5C3B$W&B$W&BC3B$W&B5C3B$W3-<3$W3-&B$W35C&B$W3%%)%$W*%"8!"$W-&53$
$XXNYZ;XX$XXFYN;XX$XX[;\MYRZXX$
(F$,$([?07164(K?5A.0./164(.4K(?2/?471647(<06/656AE(W23%<&)5$$$$$$$$$C3B",-#$&<$SW23%<&)5$GGQS$.@P@$*GG0$W3'#35<&)5$]0,/"$?$"--^$_$]%37,&%3$?$35"1-3$?$D"%5$?$C&<"1-3^$$$$$$$$$C3B",-#$&<$SW3'#35<&)5$"--$_$C&<"1-3S$.@P@$*GG0$
UI%I(%\PO,(8H:L(<LB=$$
B-)"#/$234>/$234@/$234A$$&5#/$&234>/$&234@/$&234A$$1))-/$1234>/$1234@/$1234A$$!"#>/$!"#@/$!"#A$$2)&C$$<"!*-3%GH/$<"!*-3%>H/$<"!*-3%@H$$<"!*-3%(,13$$<"!*-3%GHM:"C)D/$<"!*-3%>HM:"C)D$
UI%I(%\PO(Y"I$#)#O@,(8H:M(<NN=(($
JA6].A([.01.]A?(K?5A.0./1647E(,5&B)%!$ &5*,#$#)$[3%#3'$"5C$F%"8!35#$<:"C3%$B%)!$R*35ON$)%$
"**-&4"#&)5$.\;`HaRZNb0$"##%&1,#3$ &5*,#$*3%a23%#3'$#)$[3%#3'$<:"C3%$B%)!$R*35ON$)%$
"**-&4"#&)5$.\;`HaRZNb0$2"%6&58$ ),#*,#$B%)!$[3%#3'$<:"C3%$.\;`Hcd\Y9;0/$&5#3%*)-"#3C/$
#:35$&5*,#$#)$F%"8!35#$<:"C3%$.\;`HaRZNb0$4)5<#$ 4)!*&-3a#&!3$4)5<#"5#$.\;`HaRZNb0$$Z345/164(<.0.G?/?07E(&5$$ 2"-,3$&5&#&"-&E3C$)5$35#%6/$5)#$4)*&3C$)5$%3#,%5$.C3B",-#0$),#$$ 4)*&3C$),#$)5$%3#,%5/$1,#$5)#$&5&#&"-&E3C$&5),#$$ 2"-,3$&5&#&"-&E3C$)5$35#%6/$"5C$4)*&3C$),#$)5$%3#,%5$4)5<#$$ 4)5<#"5#$B,54#&)5$&5*,#$
>O*%+@(*+-P+'O'%,(8;:;(<(MW=$$
F3/130"0$&0,/"6&/,G&03$&5"&/2%"E&,F#366&6"$6&&$$$$$$$$'/$6/$E/$D$$$$$$$$$%/$8/$1/$"$$$$$$$$$</$#/$*/$7$
Type Properties
• Matrix / vector / integer / floating point types.
• Strict casting requirements.
• Const / attribute / varying / uniform variables.
Control Loops in GLSL
for (int i=0 ; i<10 ; i++) {statements;
}
if (condition) {statements;
} else {statements;
}
while (condition) {statements;
}
Beware:If Statement
Implementation
Builtins!"#$"%&'()*"#&!)#+),-"'&
.#)/0"1$&'()*"#&!)#+),-"'&!
!'234567&89:29:&!6;56<73=&>?@A&2BCD&!"##$%%&'(!"#$%!!&'()*+&,-'-*.!"#$%!!&'()*+&/+0+1&'(2+3/*+45677#*89.!7'-+0!!&'()*+&/#:0;.!!!!!!!!)*+,-./&01+2"03442567!
'234567&+E29:&!6;56<73=&>?@A&2BCD&!"##$%%&'8!"#$%!!&'()*+&,--*<.!!!!!!!!!!!!!!!!9:;$1!#4425:<"=$%!=--'!!&'()*->0)+$?>&.!
,F+-$G+1&F1+.8#0=&>?@H&2BHD&&"##$%%&'8!!6>?7-*@!@+0%!!&'(2-<#'A?#42+0*?3.!6>?7-*@!@+0%!!&'(2-<#'A?#4B*-C#$0?->2+0*?3.!6>?7-*@!@+0%!!&'(B*-C#$0?->2+0*?3.!6>?7-*@!@+0%!!&'(D#306*#2+0*?31&'(2+3D#306*#,--*<89.!!6>?7-*@!@+0%!!&'(2-<#'A?#42+0*?3E>"#*8#.!6>?7-*@!@+0%!!&'(2-<#'A?#4B*-C#$0?->2+0*?3E>"#*8#.!6>?7-*@!@+0%!!&'(B*-C#$0?->2+0*?3E>"#*8#.!6>?7-*@!@+0%!!&'(D#306*#2+0*?3E>"#*8#1&'(2+3D#306*#,--*<89.!!6>?7-*@!@+0%!!&'(2-<#'A?#42+0*?3D*+>8:-8#.!6>?7-*@!@+0%!!&'(2-<#'A?#4B*-C#$0?->2+0*?3D*+>8:-8#.!6>?7-*@!@+0%!!&'(B*-C#$0?->2+0*?3D*+>8:-8#.!6>?7-*@!@+0%!!&'(D#306*#2+0*?3D*+>8:-8#1&'(2+3D#306*#,--*<89.!!6>?7-*@!@+0%!!&'(2-<#'A?#42+0*?3E>"#*8#D*+>8:-8#.!6>?7-*@!@+0%!!&'(2-<#'A?#4B*-C#$0?->2+0*?3E>"#*8#D*+>8:-8#.!6>?7-*@!@+0%!!&'(B*-C#$0?->2+0*?3E>"#*8#D*+>8:-8#.!6>?7-*@!@+0%!!&'(D#306*#2+0*?3E>"#*8#D*+>8:-8#1&'(2+3D#306*#,--*<89.!!6>?7-*@!@+0F!!&'(G-*@+'2+0*?3.!6>?7-*@!7'-+0!!!&'(G-*@+'H$+'#.!!80*6$0!&'(/#:0;I+>&#B+*+@#0#*8!J!!!!!7'-+0!>#+*.!!!!!7'-+0!7+*.!!!!!7'-+0!<?77.!K.!6>?7-*@!&'(/#:0;I+>&#B+*+@#0#*8!&'(/#:0;I+>&#.!!80*6$0!!&'()-&B+*+@#0#*8!J!!!!!"#$%!!$-'-*.!!!!!7'-+0!!<#>8?0L.!!!!!7'-+0!!80+*0.!!!!!7'-+0!!#><.!!!!!7'-+0!!8$+'#.!K.!6>?7-*@!&'()-&B+*+@#0#*8!&'()-&.!!80*6$0!&'(M?&;0H-6*$#B+*+@#0#*8!J!!!!!"#$%!!+@=?#>0.!!!!!"#$%!!<?7768#.!!!!!"#$%!!8:#$6'+*.!!!!!"#$%!!:-8?0?->.!!!!!"#$%!!;+'7A#$0-*.!!!!!"#$F!!8:-0/?*#$0?->.!!!!!7'-+0!!8:-0N3:->#>0.!!!!!7'-+0!!8:-0,60-77.!!!!!7'-+0!!8:-0,-8,60-77.!!!!!7'-+0!!$->80+>0O00#>6+0?->.!!!!!7'-+0!!'?>#+*O00#>6+0?->.!!!!!7'-+0!!P6+<*+0?$O00#>6+0?->.!K.!6>?7-*@!&'(M?&;0H-6*$#B+*+@#0#*8!&'(M?&;0H-6*$#1&'(2+3M?&;089.
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
!
'234567&89:29:&!6;56<73=&>?@I&2BAD&&"##$%%&'(!"#$%!!&'(B-8?0?->.!!!!!!!!!%>"5$2!?@%=!A2:=$!
7'-+0!!&'(B-?>0H?R#.!!!!!!!$<"B1$!C.DE*'/*FDG'8C',HDG8IJ/DKIL*!"#$%!!&'(,'?:A#*0#3. !6;J5EK&89:29:=&>?@L&2BMD&!"##$%%&'(!"+*L?>&!"#$%!!&'()*->0,-'-*.!"+*L?>&!"#$%!!&'(5+$Q,-'-*.!!$<"B1$!C.DE*'/*FDG'8C',HD/(8DKI)*!"+*L?>&!"#$%!!&'()*->0H#$-><+*L,-'-*.!"+*L?>&!"#$%!!&'(5+$QH#$-><+*L,-'-*.!"+*L?>&!"#$%!!&'(D#3,--*<1!9.!!!!!!!!H,F&01DH";/$;=@2$34425%!"+*L?>&!7'-+0!!&'()-&)*+&,--*<.
)::;5<9:3&+E29:=&>?@C&2BBD&!"##$%%&'8!+00*?=60#!"#$%!!&'(A#*0#3.!+00*?=60#!"#$F!!&'(G-*@+'.!+00*?=60#!"#$%!!&'(,-'-*.!+00*?=60#!"#$%!!&'(H#$-><+*L,-'-*.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<Y.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<V.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<Z.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<F.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<%.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<[.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<\.!+00*?=60#!"#$%!!&'(26'0?D#3,--*<].!+00*?=60#!7'-+0!!&'()-&,--*<.!
!6;J5EK&+E29:=&>?@L&2BMD&!"##$%%&'8!"+*L?>&!"#$%!!&'(,-'-*.!"+*L?>&!"#$%!!&'(H#$-><+*L,-'-*.!"+*L?>&!"#$%!!&'(D#3,--*<1!9.!!!!!!!!H,F&01DH";/$;=@2$34425%!"+*L?>&!7'-+0!!&'()-&)*+&,--*<.
823E'43E3/;62N&O;3=3:&FE5PQ;R=&&!"#$%#&'(#)*+#?>0!!!! -8&()*+@#G6@=#*.!7'-+0!! -8&()*+@#D?@#.!7'-+0!! -8&(/#'0+)*+@#D?@#.!@+0%!!! -8&(A?#42+0*?3.!@+0%!!! -8&(A?#42+0*?3E>"#*8#.!!
,F+-$G+1&S81'$)1$'&>?@B&2BBD&&$->80!?>0!&'(2+3A#*0#3T>?7-*@,-@:->#>08.!!$->80!?>0!&'(2+3)*+&@#>0T>?7-*@,-@:->#>08.!$->80!?>0!&'(2+3A#*0#3O00*?=8.!!$->80!?>0!&'(2+3A+*L?>&)'-+08.!!$->80!?>0!&'(2+3/*+45677#*8.!!$->80!?>0!&'(2+3D#306*#,--*<8.!!$->80!?>0!&'(2+3D#306*#T>?08.!$->80!?>0!&'(2+3D#306*#E@+&#T>?08.!!$->80!?>0!&'(2+3A#*0#3D#306*#E@+&#T>?08.!$->80!?>0!&'(2+3,-@=?>#<D#306*#E@+&#T>?08.!$->80!?>0!&'(2+3M?&;08.!$->80!?>0!&'(2+3,'?:B'+>#8.!!
.5E3&2;5E:&T&U5=4765R3;&,-:L*?&;0!ZYY[!2?Q#!^#?='#>!!;00:_``@#4a$3`!B'#+8#!8#><!7##<=+$Q`$-**#$0?->8`$-@@#>08!0-!&'8'b@#4a$3!X:#>cM!?8!+!*#&?80#*#<!0*+<#@+*Q!-7!H?'?$->!c*+:;?$8!E>$a!N3$#:0!+8!>-0#<!=#'-4d!?7!<?8$*#:+>$?#8!=#04##>!0;?8!&6?<#!+><!0;#!cMHM!8:#$?7?$+0?->d!=#'?#"#!0;#!8:#$e!I#"?8#<!ZYY[fVVfZ\!!1Q:3=!Va!,-**#$08!+!0L:-!?>!0;#!X:#>cM!ZaY!8:#$?7?$+0?->a!
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
Soft Shadows
• Why? How?
Hard Shadows
43Computer Graphics 15-462
!"#$%&'!"#$%&'(%))*+(&",+,(%-.,)/'(#+,("0$$,1(2+%3(#(405"/('%*+),
%30/(#16(01/,1'0/6()%1/+0-*/0%1(2+%3("0$$,1(405"/('%*+),'
7%+8015(%*/(&"#/(0/("0$$,1(0'('03946(#(:0'0-040/6(9+%-4,3
)#1(/",(405"/('%*+),(',,(/",(%-.,)/;
*',(/",(<=-*22,+('"#$%&(#45%+0/"3>
+*1(/",(#45%+0/"3(2+%3(/",(405"/('%*+),?'(:0,&9%01/
'#:,(/",(<=-*22,+(#'(/",('"#$%&(-*22,+
+*1(/",(+,#4(<=-*22,+(#45%+0/"3@(/+#1'2%+3015(,#)"(9%01/(01/%(/",(405"/('%*+),?'()%%+$01#/,'(#1$()%39#+015(/",(<(:#4*,(#5#01'/(/",('"#$%&(-*22,+
How does the z-buffer work?How can we use the z-buffer to compute shadows?
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
GPU Shading
• Announcements
• GPU Shading Overview
• Example 1: Shadow Maps
• Example 2: Algebraic Surfaces
Happy GPU Coding!
top related