:"=&./%$#()0+&23$3**+.,'O& !"#$%&'#()+,&-#$&./%$#()0./1& 23$3**+&0#/0+2%,& T"+&'#()+,& S#()*+C>3,+(&322$#30"& S=&0#/%+8%& ?#%+&#/&Z%)%#$.

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Download ":"=&./%$#()0+&23$3**+*.,'O& !"#$%&'#()*+,&-#$&./%$#()0./1& 23$3**+*&0#/0+2%,& T"+&'#()*+,& S#()*+C>3,+(&322$#30"& S=&0#/%+8%& ?#%+&#/&Z%)%#$."

Aileen Bailey
5 years ago
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`D&,+'+,%+$&#-&'3%+$.3*&./%#&DE&N++;,& 9*3,,+,&N.%"&DECGE& S30&*3>,K&b./)8&,+$5+$,&

2 U5+$5.+N& S#()*+&D& S3/(+*>$#%&,+%&N.%"&U2+/SV& 6).*%&3$#)/(&2$#1$3'&%"3%& &&1+/+$3%+,&S3/(+*>$#%&,+%& &&3,&I>'2&L*+& U2+/SV& %"$+3(./1&*.>$3$=&>).*%&./%#&'#,%&9&0#'2.*+$,& A,+(&,+5+$3*&N3=,&3,&23$%&#-&(.,0),,.#/&#-& %"$+3(,&3/(&0#/0)$$+/0=&./&U!&0#)$,+&!+c/1&3**&%"+&2.8+*,& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && &8&d&^^(#)>*+_.&Y&/)'9#*,&CEIi_&j&Ga& && &=&d&^^(#)>*+_]&y&/)'h#n,&ceii_&j&ga& && &0#*#$&d&'3/(+*>$#%^8K=_a& && &2.8+*,k.lk]lI$1>%6*)+&d&2.8+*,k.lk]lI$1>%m$++/&d&& && & &2.8+*,k.lk]lI$1>%h+(&d&0#*#$a& & U2+/SV& U*(&,%3/(3$(&^D,% &./&DHH\_K&>)%&,<**&N.(+*=&),+(& :.(+*=&,)22#$%+(&^100K&o.,)3*&!%)(.#K&P/%+*K&III_& $+p).$+,&q-#2+/'2&m31&./&100& V3$3**+*&-#$&*##2& r2$31'3&#'2&23$3**+*&-#$& -#$^./%&.dda&.eddeea&.ff_&iii& Prior code J22*=./1&23$3**+*&-#$& r2$31'3&#'2&23$3**+*&-#$& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && &8&d&^^(#)>*+_.&Y&/)'9#*,&CEIi_&j&Ga& && &=&d&^^(#)>*+_]&y&/)'h#n,&ceii_&j&ga& && &0#*#$&d&'3/(+*>$#%^8K=_a& Iterations 1 25 Iterations Iterations Subsequent code Iterations && &2.8+*,k.lk]lI$1>%6*)+&d&2.8+*,k.lk]lI$1>%m$++/&d&& && & &2.8+*,k.lk]lI$1>%h+(&d&0#*#$a& &

$%&23$3**+*.s+o& U$.1./3*&^,+$.3*_&$)//./1&<'+W&GIRH&,+0#/(,& V3$3**+*&$)//./1&<'+W&&&&&&&&&&&&&&&DIFR&,+0#/(,& &&&&!2++()2&d&&&&&&&&&&&&&&&&&&&&&&&&&d&DIu\&!+$.3*&<'+&& V3$3**+*&<'+& ^U/&'=&S30>##;&V$#K&N.$

3 h+,)*</1&#)%2)%&^0*#,+)2_& V$.53<s./1&*#03*&53$.3>*+,& r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && &8&d&^^(#)>*+_.&Y&/)'9#*,&CEIi_&j&Ga& && &=&d&^^(#)>*+_]&y&/)'h#n,&ceii_&j&ga& && &0#*#$&d&'3/(+*>$#%^8K=_a& && &2.8+*,k.lk]lI$1>%6*)+&d&2.8+*,k.lk]lI$1>%m$++/&d&& && & &2.8+*,k.lk]lI$1>%h+(&d&0#*#$a& & t#n&n+**&(#+,&.%&23$3**+*.s+o& U$.1./3*&^,+$.3*_&$)//./1&<'+W&GIRH&,+0#/(,& V3$3**+*&$)//./1&<'+W&&&&&&&&&&&&&&&DIFR&,+0#/(,& &&&&!2++()2&d&&&&&&&&&&&&&&&&&&&&&&&&&d&DIu\&!+$.3*&<'+&& V3$3**+*&<'+& ^U/&'=&S30>##;&V$#K&N.%"&P/%+*&9#$+&.i&2$#0+,,#$_& V3$3**+*.s./1&.//+$&*##2& r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && & & &III& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &&&&r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && & & &III& V3$3**+*.s./1&.//+$&*##2& r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && & & &III& T.'+W&DIFR&,+0& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &&&&r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && & & &III& T.'+W&DIRi&,+0& P/,.(+&'3/(+*>$#%&-)/0<#/& (#)>*+&'3/(+*>$#%^(#)>*+&8K&(#)>*+&=_&g& &./%&'38P%+$3<#/&d&DEEEa&&./%&.%+$3<#/&d&Ea& &(#)>*+&$+&d&ek&.'&d&ea& &N".*+^^$+j$+&f&.'j.'&ed&F_&vv&^.%+$3<#/&e&'38P%+$3<#/ &g& & & &(#)>*+&%+'2&d&$+j$+&C&.'j.'&f&8a& & & &.'&d&gj$+j.'&f&=a& & & &$+&d&%+'2a& & & &.%+$3<#/ffa& & &.-^.%+$3<#/&wd&'38P%+$3<#/_&$+%)$/&Giia&+*,+&$+%)$/&Ea&

4 P/,.(+&'3/(+*>$#%&-)/0<#/& (#)>*+&'3/(+*>$#%^(#)>*+&8K&(#)>*+&=_&g& &./%&'38P%+$3<#/&d&DEEEa&&./%&.%+$3<#/&d&Ea& &(#)>*+&$+&d&ek&.'&d&ea& &N".*+^^$+j$+&f&.'j.'&ed&F_&vv&^.%+$3<#/&e&'38P%+$3<#/ &g& & & &(#)>*+&%+'2&d&$+j$+&C&.'j.'&f&8a& & & &.'&d&gj$+j.'&f&=a& & & &$+&d&%+'2a& & & &.%+$3<#/ffa& & T3;+,&*#/1+$&-#$&& 2#./%,&./&%"+&,+%&!N322./1&*##2&#$(+$& r2$31'3&#'2&23$3**+*&-#$&2$.53%+^8k=k0#*#$_& -#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& &-#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& T.'+W&DIRi&,+0& &.-^.%+$3<#/&wd&'38P%+$3<#/_&$+%)$/&Giia&+*,+&$+%)$/&Ea& 4=/3'.0&,0"+()*./1& r2$31'3&#'2&23$3**+*&-#$&iii&&,0"+()*+^(=/3'.0_& -#$&^./%&.&d&ea&.&e&/)'9#*,a&.ff_&g& &-#$&^./%&]&d&ea&]&e&/)'h#n,a&]ff_&g& && & & &III& T.'+W&EIHx&,+0&!)''3$=&#-&5+$,.#/,&!+$.3*&5+$,.#/&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&GIRH&,+0& P/0#$$+0%&23$3**+*&5+$,.#/&^$30+_& V3$3**+*&#)%+$&*##2&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&DIFR&,+0& V3$3**+*&.//+$&*##2&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&DIRi&,+0&!N32&*##2&#$(+$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&DIGu&,+0& 4=/3'.0&,0"+()*./1&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&EIHx&,+0& J*%+$/3<5+W&V%"$+3(&*.>$3$=& 93/&(#&^'#,%&#-_&*+,,#/&),./1&VU!PyC,%3/(3$(& %"$+3(,&^2%"$+3(,_& 9*3,,$##'&"./%,& 93/Q%&"35+&%##&'3/=&,%)(+/%,&,"3$./1&,3'+& '30"./+& Prior code Same Thread Subsequent code Child Thread pthread_create(..., func_ptr, arg) pthread_join(..., &retval) void* func(void* arg) {... } m#&#5+$&0#/0+2%,&>+-#$+&3/(y#$&3z+$&,"#n./1& 0#(+&?#%&+3,=&%#&(#&(=/3'.0&,0"+()*./1&

5 t#n&pq5+&),+(&.%& V$+5.#),&*+0%)$+&./%$#()0./1&%"$+3(,& b3>&),./1&2%"$+3(,&^s3/(+*>$#%&#$&#%"+$& +83'2*+_& b+0%)$+&#/&*3>&3/(&),./1&s3/(+*>$#%& ^U2+/SV_&%#&.**),%$3%+&0#/0+2%,& 4+L/.%+&.'2$#5+'+/%&#5+$&(#./1&,3'+&'3%+$.3*& N.%"&V%"$+3(,&./&*+0%)$+& U2+/SV&#$&V%"$+3(,&L$,%O& U2+/SV&L$,%& m.5+&".1"c*+5+*&0#/0+2%,&>+-#$+&*#%,&#-&,=/%38& :3/%&%#&,2+/(&'#,%&#-&<'+&#/&0#/0+2%,&,#&(#&.%& L$,%& V%"$+3(,&L$,%& 4+'#/,%$3%+&+8+0)<#/&'#(+*&>+-#$+&,"#N./1& Z'31.0[& 9#)*(&),+&#%"+$&+83'2*+,&-#$&,.'2*.0.%=& ZTU4U[&*.,%& :".0"&#$(+$&-#$&V%"$+3(,&5,I&U2+/SVO& {#./&'=&+82+$.'+/%w& S#$+&0#*#$-)*&5+$,.#/,&#-&S3/(+*>$#%& P/%+$30<5+&.'31+&1+/+$3<#/& U%"+$&+83'2*+,& V*+3,+&,"3$+w& S#()*+&G&!"#$%&+8+$0.,+,&N.%"&9A4J& V3$%&#-&6)/(+K&73$353/.0K&S30"+K& S.%0"+**K&ZJ((./1&mVA&0#'2)</1&%#& 9#'2)%+$&U$13/.s3<#/&0#)$,+,[K& B()V3$&GEDR&& :"3%&.,&9A4JO& Z9#'2)%+&A/.L+(&4+5.0+&J$0".%+0%)$+[&?oP4PJQ,&3$0".%+0%)$+&3/(&*3/1)31+&-#$& 1+/+$3*C2)$2#,+&2$#1$3''./1&#/&1$32".0,& 03$(,& h+3**=&3&*.>$3$=&3/(&+8%+/,.#/&#-&9&^3/(&#%"+$& *3/1)31+,_& :"=&9A4JO& B3,=&%#&1+%&%"+&"3$(N3$+& S=&*32%#2&03'+&N.%"&3&FxC0#$+&03$(& 4+23$%'+/%&"3,&FFxC0#$+&03$(&^e& uee_&?op4pj&n.**./1&%#&(#/3%+&+p).2'+/%& B80.</1&-#$&,%)(+/%,& T"+=&"35+&03$(,&3/(&N3/%&%#&),+&%"+'& B3,=&%#&,++&2+$-#$'3/0+&>+/+L%,&

6 m3'+&#-&b.-+&^m#b_&!.')*3<#/&n.%"&0+**,&)2(3</1&./&*#0;&,%+2& B30"&%)$/K&0#)/%&*.5./1&/+.1">#$,& 9+**&3*.5+&/+8%&%)$/&.-& 3*.5+&%".,&<'+&3/(&"35+&G&*.5./1&/+.1">#$,K&#$& "35+&R&*.5./1&/+.1">#$,& S#()*+&0#/,%$3./%,& 6$.+-&<'+W&9#)$,+&"3,&*#%,&#-&#%"+$&1#3*,& U/+&\EC'./)%+&*3>&3/(&23$%,&#-&G&*+0%)$+,& h+*3<5+*=&./+82+$.+/0+(&,%)(+/%,&!#'+&]),%&#)%&#-&9!&g& S3/=&(.(/Q%&;/#N&9&#$&A/.8&2$#1$3''./1& P(+3&#-&23$3**+*.,'& A/.%&1#3*,& 6+/+L%,&3/(&0#,%,&#-&,=,%+'&"+%+$#1+/+.%=& 43%3&'#5+'+/%&3/(&?ASJ& m+/+$3**=k&%"+&+}+0%&#-&3$0".%+0%)$+&#/& 2$#1$3'&2+$-#$'3/0+& J22$#30"&%3;+/& P/%$#()0%#$=&*+0%)$+& mva,w&'3,,.5+*=&23$3**+*k&#)%,.(+&9vak&;+$/+*,k&!ps4& b3>&.**),%$3</1&-+3%)$+,&#-&9a4j&3$0".%+0%)$+& 43%3&%$3/,-+$&<'+& T"$+3(&(.5+$1+/0+& S+'#$=&%=2+,&^/+8%&<'+_& Zb+,,#/,&*+3$/+([&*+0%)$+& h+.%+$3%+&3$0".%+0%)$+& 4+'#/,%$3%+&,2++()2&N.%"&m3'+&#-&b.-+& T3*;&3>#)%&),+&./&T#2&iEE&,=,%+',& 9A4J&2$#1$3''./1&'#(+*& CPU "host" data GPU "device" code ("kernel") data kernel invocations &"3,&'3/=&0#$+,K&#$13/.s+(&./%#&1$#)2,& RGC%"$+3(&N3$2,&+8+0)%+&%"+&,3'+&./,%$)0<#/& 43%3&%$3/,-+$& //allocate memory on the device: cudamalloc((void**) &a_dev, N*sizeof(int));... //transfer array a to GPU cudamemcpy(a_dev, a, N*sizeof(int), cudamemcpyhosttodevice);... direction indicator //transfer array res back from GPU: cudamemcpy(res, res_dev, N*sizeof(int), cudamemcpydevicetohost);

7 P/5#;./1&%"+&;+$/+*& 7+$/+*&.%,+*-& int threads = 512; //# threads per block int blocks = (N+threads 1)/threads; //# blocks (N/threads rounded up) kernel<<<blocks,threads>>>(res_dev, a_dev, b_dev); 6*#0;,&3$+&3/&#$13/.s3<#/3*&)/.%&-#$&%"$+3(,& V+$-#$'3/0+&.,&5+$=&(+2+/(+/%&#/&r>*#0;,& 3/(&r%"$+3(,& U/+&$)*+W&r%"$+3(,&,"#)*(&>+&')*<2*+&#-&RG& global void kernel(int* res, int* a, int* b) { //function that runs on GPU to do the addition //sets res[i] = a[i] + b[i]; each thread is responsible for one value of i int thread_id = threadidx.x + blockidx.x*blockdim.x; if(thread_id < N) { res[thread_id] = a[thread_id] + b[thread_id]; } } since #threads potentially > array size b3>&30<5.%=&dw&43%3&%$3/,-+$&<'+&!%)(+/%,&0#'23$+&$)//./1&<'+&#-& N#$;./1&9A4J&2$#1$3'&%#&3((&23.$&#-&5+0%#$,& 2$#1$3'&N.%"&(3%3&%$3/,-+$K&>)%&/#&3$.%"'+<0& 2$#1$3'&%"3%&(#+,&3$.%"'+<0&3/(&#/*=&D&(.$+0<#/& #-&(3%3&%$3/,-+$& U>,+$5+&%"3%&(3%3&%$3/,-+$&.,&>)*;&#-&%"+&<'+& b3>&30<5.%=&dw&43%3&%$3/,-+$&<'+&!%)(+/%,&0#'23$+&$)//./1&<'+&#-& N#$;./1&9A4J&2$#1$3'&%#&3((&23.$&#-&5+0%#$,& 2$#1$3'&N.%"&(3%3&%$3/,-+$K&>)%&/#&3$.%"'+<0& 2$#1$3'&%"3%&(#+,&3$.%"'+<0&3/(&#/*=&D&(.$+0<#/& #-&(3%3&%$3/,-+$& U>,+$5+&%"3%&(3%3&%$3/,-+$&.,&>)*;&#-&%"+&<'+& b3>&30<5.%=&gw&t"$+3(&(.5+$1+/0+&& 9#'23$+&%N#&3223$+/%*=&+p).53*+/%&;+$/+*,W& ~~1*#>3*~~&5#.(&;+$/+*~D^./%&j3_&g& &&&&./%&<(&d&%"$+3(p(8i8a& &&&&./%&0+**&d&<(&&RGa& &&&&3k0+**lffa& ~~1*#>3*~~&5#.(&;+$/+*~G^./%&j3_&g& &&&&./%&0+**&d&%"$+3(P(8I8&&RGa& &&&&,N.%0"^0+**_&g& &&&&03,+&EW&3kElffa&>$+3;a& &&&&03,+&DW&3kDlffa&>$+3;a& &&&&III&&&YY0#/</)+,&%#&03,+&\& &&&&(+-3)*%W&3k0+**lffa& && U>,+$5+&53,%*=&(.}+$+/%&$)//./1&<'+,& T"$+3(,&./&3&N3$2&(+5#%+&<'+&%#&D&./,%$)0<#/&2+$& 0*#0;&0=0*+&!"!#$%&$#'($)**$+,#$%($^#%"+$,&/#2_& b3>&30<5.%=&gw&t"$+3(&(.5+$1+/0+&& 9#'23$+&%N#&3223$+/%*=&+p).53*+/%&;+$/+*,W& ~~1*#>3*~~&5#.(&;+$/+*~D^./%&j3_&g& &&&&./%&<(&d&%"$+3(p(8i8a& &&&&./%&0+**&d&<(&&RGa& &&&&3k0+**lffa& ~~1*#>3*~~&5#.(&;+$/+*~G^./%&j3_&g& &&&&./%&0+**&d&%"$+3(P(8I8&&RGa& &&&&,N.%0"^0+**_&g& &&&&03,+&EW&3kElffa&>$+3;a& &&&&03,+&DW&3kDlffa&>$+3;a& &&&&III&&&YY0#/</)+,&%#&03,+&\& &&&&(+-3)*%W&3k0+**lffa& && U>,+$5+&53,%*=&(.}+$+/%&$)//./1&<'+,& T"$+3(,&./&3&N3$2&(+5#%+&<'+&%#&D&./,%$)0<#/&2+$& 0*#0;&0=0*+&!"!#$%&$#'($)**$+,#$%($^#%"+$,&/#2_&

8 b3>&30<5.%=&rw&s+'#$=&%=2+,&& 63,+(&#/&9"32&u&#-&k!3/(+$,&3/(&73/($#%K&Z9A4J&>=&+83'2*+[K&GEDDl& Zh3=&%$30./1[&%"3%&%+,%,&./%+$,+0<#/,&N.%"& 3$$3=&#-&#>]+0%,&./&%"+&,3'+&#$(+$&!2++(,&)2&N.%"&,N.%0"&%#&0#/,%3/%&'+'#$=& &53*)+,&3$+&%$3/,'.X+(&%#&+/<$+&"3*-&N3$2& &3**#N,&030"./1& V+$-#$'3/0+&.,&N#$,+&.-&%"$+3(,&300+,,& #>]+0%,&./&(.}+$+/%&#$(+$,& b3>&30<5.%=&rw&s+'#$=&%=2+,&& 63,+(&#/&9"32&u&#-&k!3/(+$,&3/(&73/($#%K&Z9A4J&>=&+83'2*+[K&GEDDl& Zh3=&%$30./1[&%"3%&%+,%,&./%+$,+0<#/,&N.%"& 3$$3=&#-&#>]+0%,&./&%"+&,3'+&#$(+$&!2++(,&)2&N.%"&,N.%0"&%#&0#/,%3/%&'+'#$=& &53*)+,&3$+&%$3/,'.X+(&%#&+/<$+&"3*-&N3$2& &3**#N,&030"./1& V+$-#$'3/0+&.,&N#$,+&.-&%"$+3(,&300+,,& #>]+0%,&./&(.}+$+/%&#$(+$,&!)$5+=&$+,)*%,W&m##(&/+N,& J,;+(&%#&(+,0$.>+&9VAYmVA&./%+$30<#/W& H&#-&DD&'+/<#/&>#%"&(3%3&'#5+'+/%&3/(&./5#;./1&;+$/+*& J/#%"+$&]),%&'+/<#/,&./5#;./1&%"+&;+$/+*& J,;+(&%#&+82*3./&+82+$.'+/%&.**),%$3</1&(3%3& '#5+'+/%&0#,%W& H&#-&DG&,3=&0#'23$./1&0#'2)%3<#/&3/(& 0#'')/.03<#/&0#,%& G&'#$+&%3*;&3>#)%&0#'23$./1&(.}+$+/%&#2+$3<#/,&!)$5+=&$+,)*%,W&m##(&/+N,& J,;+(&%#&(+,0$.>+&9VAYmVA&./%+$30<#/W& H&#-&DD&'+/<#/&>#%"&(3%3&'#5+'+/%&3/(&./5#;./1&;+$/+*& J/#%"+$&]),%&'+/<#/,&./5#;./1&%"+&;+$/+*& J,;+(&%#&+82*3./&+82+$.'+/%&.**),%$3</1&(3%3& '#5+'+/%&0#,%W& H&#-&DG&,3=&0#'23$./1&0#'2)%3<#/&3/(& 0#'')/.03<#/&0#,%& G&'#$+&%3*;&3>#)%&0#'23$./1&(.}+$+/%&#2+$3<#/,&!)$5+=&$+,)*%,W&?#%&,#&1##(&/+N,& J,;+(&%#&+82*3./&+82+$.'+/%&.**),%$3</1&%"$+3(& (.5+$1+/0+W& G&#-&H&N+$+&0#$$+0%& G&'#$+&,++'+(&%#&)/(+$,%3/(K&>)%&'.,),+(& %+$'./#*#1=& R&'#$+&$+'+'>+$+(&2+$-#$'3/0+&+}+0%K&>)%&,3.(& /#%"./1&3>#)%&%"+&03),+&&&& 9#/0*),.#/,& A/.%&N3,&'#,%*=&,)00+,,-)*K&>)%&%"$+3(& (.5+$1+/0+&.,&3&"3$(+$&0#/0+2%&!%)(+/%,&./%+$+,%+(&./&9A4J&3/(&3>#)%&"3*-& %"+&0*3,,&$+p)+,%+(&'#$+&#-&.%& 6#X#'&*./+W&J&>$.+-&./%$#()0<#/&.,&2#,,.>*+& +5+/&%#&,%)(+/%,&N.%"&*.'.%+(&>30;1$#)/(&

9 9*3,,$##'&"./%,&?++(&1$32".0,&03$(&#/&*#03*&'30"./+&^3%&*+3,%& J*%+$/3%+&'#(+*,& b+n.,&3/(&9*3$;k&v#$%*3/(&!%3%+& b+0%)$+&./%$#()0./1&9a4j& b3>yt:&),./1&.%&%#&,2++(&)2&m3'+&#-&b.-+& 43/.+*&B$/,%& b#/1+$&)/.%&n.%"&>#%"&u2+/sv&3/(&9a4j& m+/+$3*&+'2"3,.,&#/&%)/./1&(3%3&*3=#)%&3/(& 300+,,&23X+$/& ZTU4U[&*.,%&?+N&+83'2*+&-#$&%=2+,&#-&'+'#$=& B82*3./&%"$+3(&(.5+$1+/0+&>+X+$& S.((*+&1$#)/(W&3((./1&2$#1$3''./1&%#&'./+& #$&0#/0+2%)3*&'3%+$.3*&%#&bv9&5+$,.#/& V#$</1&0#(+&%#&#%"+$&>3,+&*3/1)31+,&^{353_& U%"+$&2$#1$3''./1&+83'2*+&^O_& V*+3,+&,"3$+w& S#()*+&R3& 9"32+*&./&J*1#$.%"',& ^63,+(&#/&+82+$.+/0+,&#-&7=*+&6)$;+& 3/(&#)$&]#./%&%)%#$.3*&3%&!9&B(& V$#1$3'K&GEDG_& :"3%&.,&9"32+*O& V3$3**+*&2$#1$3''./1&*3/1)31+&(+5+*#2+(& N.%"&2$#1$3''+$&2$#()0<5.%=&./&'./(& U$.1./3**=&9$3=Q,&2$#]+0%&)/(+$&4JhVJQ,&t.1"& V$#()0<5.%=&9#'2)</1&!=,%+',&2$#1$3'&!).%3>*+&-#$&,"3$+(C&#$&(.,%$.>)%+(&'+'#$=&,=,%+',& P/,%3**,&+3,.*=&#/&b./)8&3/(&S30&U!a&),+& 9=1N./&%#&./,%3**&#/&:./(#N,& %"3%&=#)&/++(& V$#5.(+,&".1"C*+5+*&#2+$3<#/,& 4+,.1/+(&N.%"&23$3**+*.,'&./&'./(&

10 @*+8.>*+&,=/%38&!)22#$%,&,0$.2</1C*.;+&2$#1$3',W& N$.%+*/^Zt+**#&:#$*(w[_a& J*,#&2$#5.(+,&#>]+0%,&3/(&'#()*+,& V$#5.(+,&".1"C*+5+*&#2+$3<#/,& &6&d&-^J_a&&YY322*.+,&-&+*+'+/%N.,+&-#$&3/=&-)/0<#/&-& P/0*)(+,&>).*%C./&#2+$3%#$,W& &9&d&J&f&Da& &4&d&J&f&6a& &B&d&J&j&6a& &III& 4+,.1/+(&N.%"&23$3**+*.,'&./&'./(& U2+$3<#/,&#/&2$+5.#),&,*.(+,&23$3**+*.s+(& 3)%#'3<03**=& 9$+3%+&3,=/0"$#/#),&%3,;&NY&,./1*+&;+=N#$(& 6).*%C./&,=/0"$#/.s3<#/&-#$&%3,;,&3/(&53$.3>*+,& Zt+**#&:#$*([&./&9"32+*& 9$+3%+&L*+&"+**#I0"2*&0#/%3././1& &N$.%+*/^Zt+**#&:#$*(w[_a& 9#'2.*+&N.%"& &0"2*&q#&"+**#&"+**#I0"2*& h)/&n.%"& &IY"+**#& o3$.3>*+,&3/(&9#/,%3/%,& o3$.3>*+&(+0*3$3<#/&-#$'3%w& k0#/l1l&53$y0#/,%&.(+/<l+$&w&%=2+a& 53$&8&W&./%a& 0#/,%&2.&W&$+3*&d&RIDFa&& 0#/L1&0#/,%&/)'!.(+,&W&./%&d&Fa&&!+$.3*&9#/%$#*&!%$)0%)$+,&.-&,%3%+'+/%,K&N".*+&*##2,K&3/(&(#CN".*+&*##2,& 3$+&3**&2$+X=&,%3/(3$(& 4.}+$+/0+W&!%3%+'+/%&>#(.+,&'),%&+.%"+$&),+& >$30+,&#$&3/&+8%$3&;+=N#$(W& &.-^8&dd&i_&!"#$&=&d&Ra&+*,+&=&d&Da& &N".*+^8&e&i_&%&&8ffa&&

11 B83'2*+W&h+3(./1&)/<*&+#-& 53$&8&W&./%a& N".*+&,%(./I$+3(^8_&g& & &N$.%+*/^Zh+3(&53*)+&ZK&8_a& n && arg_type V$#0+()$+,Y@)/0<#/,& argument omit for generic function proc addone(in val : int, inout val2 : int) : int { val2 = val + 1; return val + 1; } return type (omit if none or if can be inferred) J$$3=,& P/(.0+,&(+%+$'./+(&>=&3&$3/1+W& &53$&J&W&kDIIil&./%a &&&&&&&&&&&&YY(+0*3$+,&J&3,&3$$3=&#-&i&./%,& &53$&6&W&kCRIIRl&./%a &&&&&&&&&&&&YY"3,&./(.0+,&CR&%"$)&R& &53$&9&W&kDIIDEK&DIIDEl&./%a&&YY')*<C(.'+/,.#/3*&3$$3=& J00+,,./1&./(.5.()3*&0+**,W& &JkDl&d&JkGl&f&GRa& h3/1+,&3*,#&),+(&./&-#$&*##2,w& &-#$&.&./&DIIDE&(#&,%3%+'+/%a& &-#$&.&./&DIIDE&g& & &*##2&>#(=& & 93/&3*,#&),+&3$$3=&#$&3/=%"./1&.%+$3>*+& V3$3**+*&b##2,& TN#&;./(,&#-&23$3**+*&*##2,W& &-#$3**&.&./&DIIDE&(#&,%3%+'+/%a&&YY#'.%&(#&NY&>$30+,& &0#-#$3**&.&./&DIIDE&(#&,%3%+'+/%a& -#$3**&0$+3%+,&D&%3,;&2+$&2$#0+,,./1&)/.%& 0#-#$3**&0$+3%+,&D&2+$&*##2&.%+$3<#/& A,+(&N"+/&+30"&.%+$3<#/&$+p).$+,&*#%,&#-&N#$;&3/(Y#$& %"+=&'),%&>+&(#/+&./&23$3**+*& J,=/0"$#/#),&T3,;,& B3,=&3,=/0"$#/#),&%3,;&0$+3<#/W& &>+1./&,%3%+'+/%a&& B3,=&-#$;C]#./&23$3**+*.,'W& &0#>+1./&g& & &,%3%+'+/%Da& & &,%3%+'+/%Ga& & &III& & &YY0$+3%+,&%3,;&2+$&,%3%+'+/%&3/(&N3.%,&"+$+&&

12 !=/0&>*#0;,&,=/0&>*#0;,&N3.%&-#$&%3,;,&0$+3%+(&./,.(+&.%& T"+,+&3$+&+p).53*+/%W& &&,=/0&g & & & & & &&&&&0#>+1./&g& &>+1./&,%3%+'+/%Da & & &&&&&,%3%+'+/%Da& &>+1./&,%3%+'+/%Ga & & &&&&&,%3%+'+/%Ga& &III & & & & & & & &&&&&III& n & & & & & & & & &&&&&!=/0&53$.3>*+,&,=/0&53$.3>*+,&"35+&53*)+&3/(&+'2%=Y-)**&,%3%+&,%#$+&Ä&D&53*)+&3/(&>*#0;&#2+$3<#/,&03/Q%&2$#0++(& 93/&>+&),+(&3,&*#0;W& &53$&*#0;&W&,=/0&./%a& &*#0;&d&Da & & & &YY30p).$+,&*#0;& &III& &53$&%+'2&d&*#0;a & &YY$+*+3,+,&%"+&*#0;& J/3*=,.,&#-&J*1#$.%"',& 9"32+*&'3%+$.3*& J,,.1/&>3,.0&%)%#$.3*& T+30"&-#$3**&v&0#>+1./&^3*,#&3*1#$.%"'.0&/#%3<#/_& V$#]+0%,& V3$<<#/&./%+1+$,& 6)>>*+!#$%& S+$1+!#$%&?+3$+,%&?+.1">#$,& J*1#$.%"',&V$#]+0%W&b.,%&V3$<<#/& V3$<<#/&3&*.,%&%#&%N#&+p)3*C,)''./1&"3*5+,I& 6$)%+C-#$0+&3*1#$.%"'&^(#/Å%&;/#N&V&5,&?V&=+%_& Ç)+,<#/,W& :"3%&3$+&*#/1+,%&*.,%,&=#)&03/&%+,%O& :"3%&3>#)%&./&23$3**+*O& T$.0;W&+/)'+$3%+&2#,,.>.*.<+,&3/(&),+&-#$3**& J*1#$.%"',&V$#]+0%W&6)>>*+!#$%&! P/,%+3(&#-&*+zC%#C$.1"%K&%+,%&3**&23.$,&./&%N#&,%+2,w& J*1#$.%"',&V$#]+0%W&S+$1+!#$%& V3$3**+*&(.5.(+C3/(C0#/p)+$W&),+&0#>+1./& B*+13/%&(.5.,.#/W&,2*.%&%"+&4#'3./&!2++()2&/#%&3,&/#<0+3>*+& B83'2*+&#-&+82+/,.5+&23$3**+*&#5+$"+3(&!&TN#&/+,%+(&-#$3**&*##2,&^./&,+p)+/0+_&./,.(+&3&-#$&*##2&

13 TN#&3*1#$.%"',W& ^),+&3&-#$3**&*.;+&>)>>*+!#$%_& 4.5.(+C3/(C9#/p)+$& ^),+&0#>+1./_& J&>.%&%$.0;=& o3*)+&#-&23$3**+*.,'w&')0"&+3,.+$&%#&2$#1$3'& %"+&>$)%+C-#$0+&'+%"#(& J*1#$.%"',&T3;+3N3=& b+3$/./1&0)$5+&#-&9"32+*&.,&,#&*#nk&,%)(+/%,& 03/&,%3$%&),./1&23$3**+*.,'&5+$=&p).0;*=&!)''./1&53*)+,&./&3/&3$$3=& S#()*+&R>& h+()0<#/,& ^h+()0<#/&-$3'+n#$;&-$#'&b./&3/(&!/=(+$k&-+%#.%/*!0$'&$/)+)**!*$ /+'1+)22%#1K&GEEHI_& !)''./1&53*)+,&./&3/&3$$3=& 16!)''./1&53*)+,&./&3/&3$$3=&

14 !)''./1&53*)+,&./&3/&3$$3=& 16!)''./1&53*)+,&./&3/&3$$3=& ,2 4,2 3, ,0 4,2 3,5 2, ,0 1,1 4,2 3,3 1,4 3,5 0,6 4,2 2 4,2 3,5 V3$%,&#-&3&$+()0<#/& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& 2,0 4,2 3,5 2,7 h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& 2,0 1,1 4,2 3,3 1,4 3,5 0,6 2,7 P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&

15 V3$%,&#-&3&$+()0<#/& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& & && & & & &^53*)+K&./(+8_& 9#'>./+W&9#'>./+&G&%3**.+,& & && & & & &%3;+&N".0"+5+$&23.$&"3,&*3$1+$&53*)+& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& & & & & &$+%)$/&%"+&./(+8& P/.%W&9$+3%+&Z+'2%=[&%3**=& TN#&.,,)+,&?++(&%#&0#/5+$%&./.<3*&53*)+,&./%#&%3**.+,& S3=&N3/%&,+23$3%+&#2+$3<#/&-#$&53*)+,&*#03*& %#&3&,./1*+&2$#0+,,#$& "Empty" tally Tally of these values J00)')*3%+W&J((&D&53*)+&%#&%3**=& TN#&.,,)+,&?++(&%#&0#/5+$%&./.<3*&53*)+,&./%#&%3**.+,& S3=&N3/%&,+23$3%+&#2+$3<#/&-#$&53*)+,&*#03*& %#&3&,./1*+&2$#0+,,#$& "Empty" tally Tally of these values V3$%,&#-&3&$+()0<#/& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=& 0 i V3$3**+*&$+()0<#/&-$3'+N#$;& 7 c rg 36 c Tally: Intermediate state of computation i = Init: Create "empty" tally a = Accumulate: Add 1 value to tally c = Combine: Combine 2 tallies rg = Reduce gen: Generate result from tally a a a a a a a a i 3 2 i 8 4 i c 12 4+L/./1&$+()0<#/,& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&!3'2*+&2$#>*+',W&f&

16 4+L/./1&$+()0<#/,& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&!3'2*+&2$#>*+',W&fK&".,%#1$3'& 4+L/./1&$+()0<#/,& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&!3'2*+&2$#>*+',W&fK&".,%#1$3'K&'38& 4+L/./1&$+()0<#/,& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&!3'2*+&2$#>*+',W&fK&".,%#1$3'K&'38K&G /( &*3$1+,%&& 4+L/./1&$+()0<#/,& T3**=W&P/%+$'+(.3%+&,%3%+&#-&0#'2)%3<#/& 9#'>./+W&9#'>./+&G&%3**.+,& h+()0+c1+/w&m+/+$3%+&$+,)*%&-$#'&%3**=& P/.%W&9$+3%+&Z+'2%=[&%3**=& J00)')*3%+W&J((&D&53*)+&%#&%3**=&!3'2*+&2$#>*+',W&fK&".,%#1$3'K&'38K&G /( &*3$1+,%K&&&&& &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&*+/1%"&#-&*#/1+,%&$)/&& 93/&1#&>+=#/(&%"+,+III&./(+8U-&^L/(&./(+8&#-&L$,%&#00)$$+/0+_&,+p)+/0+&3*.1/'+/%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&k!$./.53,&J*)$)l& /C>#(=&2$#>*+'&&& & & & & &&&&&&&k!$./.53,&j*)$)l& h+*3<#/,".2&%#&(=/3'.0&2$#1$3''./1& 9"3**+/1+,&./&(=/3'.0&2$#1$3''./1W& :"3%&3$+&%"+&%3>*+&+/%$.+,O& t#n&%#&0#'2)%+&3&%3>*+&+/%$=&-$#'&2$+5.#),&+/%$.+,o& 9"3**+/1+,&./&$+()0<#/&-$3'+N#$;W& :"3%&.,&%"+&%3**=O& t#n&%#&0#'2)%+&3&/+n&%3**.+,&-$#'&2$+5.#),&#/+,o&

17 h+()0<#/,&./&9"32+*& B82$+,,&$+()0<#/&#2+$3<#/&./&,./1*+&*./+W& &53$&,&d&f&$+()0+&Ja &YYJ&.,&3$$3=K&,&1+%,&,)'&!)22#$%,&fK&jK&É&^8#$_K&vvK&ÑÑK&'38K&'./K&III& './*#0&3/(&'38*#0&$+%)$/&3&%)2*+&N.%"&53*)+& 3/(&.%,&./(+8W& &53$&^53*K&*#0_&d&'./*#0&$+()0+&Ja& h+()0<#/&+83'2*+& 93/&3*,#&),+&$+()0+&#/&-)/0<#/&2*),&3&$3/1+& 1 1 " x B8W&J22$#8.'3%+&ÖYG&),./1&&&&&&&&&&&&&&&&&W& # 2 dx "1 &0#/L1&0#/,%&/)'h+0%&d&DEEEEEEEa& &0#/,%&N.(%"&d&GIE&Y&/)'h+0%a&&&&&&&&&&&&YY$+0%3/1*+&N.(%"& &0#/,%&>3,+y&d&CD&C&N.(%"YGa& &0#/,%&"3*-VP&d&f&$+()0+&k.&./&DII/)'h+0%l& && &^N.(%"&j&,p$%^DIE&q&^>3,+y&f&.jN.(%"_jjG a& 4+L/./1&3&0),%#'&$+()0<#/& 9$+3%+&#>]+0%&%#&$+2$+,+/%&./%+$'+(.3%+&,%3%+& S),%&,)22#$%& 300)')*3%+W&3((,&3&,./1*+&+*+'+/%&%#&%"+&,%3%+& 0#'>./+W&3((,&3/#%"+$&./%+$'+(.3%+&,%3%+& 1+/+$3%+W&0#/5+$%,&,%3%+&#>]+0%&./%#&L/3*&#)%2)%& 0*3,,&9.$0*+&g& 53$&$3(.),&W&$+3*a& 2$#0&3$+3^_&W&$+3*&g& $+%)$/&RIDF&j&$3(.),&j&$3(.),a& 9*3,,+,&./&9"32+*& 53$&0DK&0G&W&9.$0*+a & & &YY0$+3%+,&G&9.$0*+&$+-+$+/0+,& 0D&d&/+N&9.$0*+^DE_a& &Yj&),+,&,=,%+'C,)22*.+(&0#/,%$)0%#$& & & & & & & & & & &%#&0$+3%+&3&9.$0*+&#>]+0%& & & & & & & & & & &3/(&'3;+,&0D&$+-+$&%#&.%&jY& 0G&d&0Da& & & & &YY'3;+,&0G&$+-+$&%#&%"+&,3'+&#>]+0%& (+*+%+&0Da & & & &YY'+'#$=&'),%&>+&'3/)3**=&-$++(&& 0*3,,&9.$0*+&W&!"32+&g& &&III& P/"+$.%3/0+& &YY9.$0*+&./"+$.%,&-$#'&!"32+& 53$&,&W&!"32+a&,&d&/+N&9.$0*+^DEIE_a&&&YY3)%#'3<0&03,%&%#&>3,+&0*3,,& 53$&3$+3&d&,I3$+3^_a &&&Yj&03**&$+0.2.+/%&(+%+$'./+(&& && & & & & & & &&>=&#>]+0%Q,&(=/3'.0&%=2+&jY& B83'2*+&Z0),%#'[&$+()0<#/& 0*3,,&S=S./&W&h+()0+!03/U2&g&YYL/(,&'./&+*+'+/%&^+p).5I&%#&>).*%C./&Z'./[_& &%=2+&+*%T=2+a & & & & & &YY%=2+&#-&+*+'+/%,& &53$&,#@3$&W&+*%T=2+&d&'38^+*%T=2+_a &YY'./.')'&,#&-3$& &2$#0&300)')*3%+^53*&W&+*%T=2+_&g& & & &.-^53*&e&,#@3$_&g&,#@3$&d&53*a& & &2$#0&0#'>./+^#%"+$&W&S=S./_&g& & & &.-^#%"+$I,#@3$&e&,#@3$_&g&,#@3$&d&#%"+$I,#@3$a& & &2$#0&1+/+$3%+^_&g&$+%)$/&,#@3$a& &

18 J/(&%"3%Q,&/#%&3**III&&&^,03/,_& P/,%+3(&#-&]),%&1+c/1&#5+$3**&53*)+K&3*,#&0#'2)%+& 53*)+&-#$&+5+$=&2$+L8& J/(&%"3%Q,&/#%&3**III&&&^,03/,_& P/,%+3(&#-&]),%&1+c/1&#5+$3**&53*)+K&3*,#&0#'2)%+& 53*)+&-#$&+5+$=&2$+L8& A A sum sum A,+-)*&3/,N+$./1&p)+$.+,&*.;+&& &&&&Z:"3%&.,&%"+&,)'&#-&+*+'+/%,&G&%"$)&\O[& && & & & & &d&,)'k\l&q&,)'kdl& A,+-)*&3/,N+$./1&p)+$.+,&*.;+&& &&&&Z:"3%&.,&%"+&,)'&#-&+*+'+/%,&G&%"$)&\O[& && & & & & &d&,)'k\l&q&,)'kdl& 9#'2)</1&%"+&,03/&./&23$3**+*& 9#'2)</1&%"+&,03/&./&23$3**+*& Upward pass to compute reduction. Downward pass to also compute scan Upward pass to compute reduction. Downward pass to also compute scan #N/N3$(&23,,&N.%"&-)/0<#/&*3>+*,& S3/=&#2<#/,&-#$&'#()*+&R& 0 i 0 19 i = init a = accumulate A,./1&9"32+*&-#$&+3,+&#-&23$3**+*.s3<#/& h+()0<#/,&#/&232+$&^(+l/./1&3/(y#$&),./1_& input: a a a a a a a a J*,#&.'2*+'+/</1&$+()0<#/,&./&9"32+*& output: !.(+&p)+,<#/W&:"+$+&%#&2)%&.%O&

19 935+3%,&!<**&./&(+5+*#2'+/%& h+()0<#/,&,+$.3*.s+(&#/&')*<0#$+&^3,&#-&diu_& B$$#$&'+,,31+,&%"./&?+N&5+$,.#/,&+5+$=&u&'#/%",&q&,#'+&>.1&0"3/1+,&?#%&'3/=&*.>$3$.+,& ZTU4U[&*.,%&?#%+,K&,*.(+,K&3,,.1/'+/%,K&+%0& B5.(+/0+&#/&<+&%#&(=/3'.0&2$#1$3''./1&!3'2*+&3(#2<#/&,%$3%+1.+,& S#$+&322*.03<#/,&#-&$+()0<#/,&3/(&,03/,&?#&(+5+*#2'+/%&+/5.$#/'+/%& 9#''3/(C*./+&0#'2.*3<#/&./&b./)8& V*+3,+&,"3$+w& U%"+$&$+,#)$0+,& 9!&./&V3$3**+*& "X2WYY0,./23$3**+*I#$1& 43/&m$#,,'3/Q,&9!&G&/#%+,& "X2WYYNNNI0,I1,)I+()Y`%022Y0)$$.0)*)'Y& T"3/;,&-#$&=#)$&<'+& (>)/(+Ü;/#8I+()& "X2WYY-30)*%=I;/#8I+()Y(>)/(+Y%+30"./1Y99!9CS:DR&

Introduction to CUDA CIRC Summer School 2014

Introduction to CUDA CIRC Summer School 2014 Baowei Liu Center of Integrated Research Computing University of Rochester October 20, 2014 Introduction Overview What will you learn on this class? Start from