Lecture 12: Spiral: Domain Specific HLS. Housekeeping
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1 8 643 ectue : Spal: Doma Specfc HS James C. Hoe Depatmet of ECE Caege Mello Uvesty F7 S, James C. Hoe, CMU/ECE/CACM, 7 Houseeepg You goal today: see a eample of eally hghlevel sythess (ths lectue ot o Mdtem) Notces Hadout #4: lab, due oo, /6 Hadout #5: lab 3, due oo, /.5 wees to poject poposal.5 wee to mdtem Readgs sm Mlde, et al., Compute Geeato of Hadwae fo ea Dgtal Sgal Pocessg Tasfoms, TODAES, Apl F7 S, James C. Hoe, CMU/ECE/CACM, 7
2 Coflct btw Hgh evel ad Geealty F7 S3, James C. Hoe, CMU/ECE/CACM, 7 hgh level: tool ows bette tha you HS: tool decdes what you ca say ad what you mea RT sythess: geeal pupose but specal hadlg of stuctues le FSM, ath, etc. place ad oute: wos the same o matte what desg Spal ge: how hgh ca you go? F7 S4, James C. Hoe, CMU/ECE/CACM, 7
![, ] SPRA Famewo wat a of sze 4 SPRA automato stats hee whee most tools beg](/docs-images/79/79222267/images/3-1.jpg "automatg the poblem 8 643 F7 S6, James C.")
3 Desg Space ad Qualty of Result 49 slces 3 thoughput F7 S5, James C. Hoe, CMU/ECE/CACM, 7 [Mlde, et al., ] SPRA Famewo wat a of sze 4 SPRA automato stats hee whee most tools beg automatg the poblem F7 S6, James C. Hoe, CMU/ECE/CACM, 7 Pcple : Doma owledge the system Pcple : Optmzato at a hgh level of abstacto
4 Vey Hgh evel Descpto F7 S7, James C. Hoe, CMU/ECE/CACM, 7 ea Tasfoms ea tasfom s a mat vecto multplcato computg by defto taes O(N ) opeatos the mat has stuctue E.g. dscete Foue tasfom: y = N y y. y j.. y N- = j.. N- e.. N- j N.... N- e -/ F7 S8, James C. Hoe, CMU/ECE/CACM, 7 e.g., 8 th oots of ut
5 8 643 F7 S9, James C. Hoe, CMU/ECE/CACM, 7 Fast Algothms Fast algothm factos the mat to a sequece of stuctued, spase matces cheape spase multples O(N log(n)) opeatos E.g. Cooley Tuey Factozato of 4 Mat fomula epesetato D F7 S, James C. Hoe, CMU/ECE/CACM, 7 Factozato Rules E.g. Cooley Tuey s D s a dagoal mat of twddle factos s a stde pemutato mat AB=[a j, B] s the teso (o oece) poduct m m m m m D A a,a,a, a, a,a, a,a,a, a,a,a, B BB B e.g., B
6 Fast Foue Tasfom Algothms Recusvely factoze by Cooley Tuey ule utl oly leaf cases ema (e.g. fo ad ) D D D Epoetal umbe of alteatves Each uletee coespods a dffeet algothm All cost O(N log(n)) F7 S, James C. Hoe, CMU/ECE/CACM, Descbg a Desg Space vs a Pot ( ) DCT dag, / F ( ) DCT P / / / F7 S, James C. Hoe, CMU/ECE/CACM, 7 ( ) ( V ) DCT DCT F Q ( V ) ( ) DCT S DCT D ( V ) DCT M M ( ) ( ) B ( DCT DST ) C F ( h) ( / d d ) ( / d Fd ( h)) ( h) Cc ( h ) E F DWT m D P / m / ( W ) ( DWT / ( W ) / ) P ( / W ) E t WHT ( WHT ) m Doe oce pe tasfom by a epet ad the tool becomes the epet
7 Vey Hgh evel Sythess F7 S3, James C. Hoe, CMU/ECE/CACM, 7 Fomula to HW Gve whee s: apply, the apply, tmes paallel s a pemutato pemute s a dagoal scale B A A A F7 S4, James C. Hoe, CMU/ECE/CACM, 7
8 8 Eample F7 S5, James C. Hoe, CMU/ECE/CACM, D D (fomula s appled fom ght to left) Pease 8 Eample stage stage stage F7 S6, James C. Hoe, CMU/ECE/CACM, 7
9 How about good HW? Fomulas map atually to combatoal dataflow, but ths s ethe good o ealstc What f wat 6K? Sequetal datapath to euse avalable HW detfy epeated eels statate eels ude esouce costats schedule computato to euse statated eels Do ths at fomula level wth math level owledge F7 S7, James C. Hoe, CMU/ECE/CACM, 7 Teso as Steamg Ppele fully paallel F7 S8, James C. Hoe, CMU/ECE/CACM, 7 fully steamed patally steamed e data paallel loops we see egula HS
10 Pease 8 stage stage stage F7 S9, James C. Hoe, CMU/ECE/CACM, 7 Steamg Pease 8 f( 8 4) ) f( 8 4) ) f( 8 4) ) f(r f( 8 ) ) f( 8 4) ) f( 8 4) ) f( 8 4) ) f(r f( 8 ) ) stage stage stage F7 S, James C. Hoe, CMU/ECE/CACM, 7
11 teatve Reuse h h o euse F7 S, James C. Hoe, CMU/ECE/CACM, 7 teatvely euse patally teatve euse e data depedet loops we see egula HS teatve Pease 8,4,..., cost ; latecy Fe-gaed cotol ove cost/latecy tadeoff F7 S, James C. Hoe, CMU/ECE/CACM, 7
12 8 643 F7 S3, James C. Hoe, CMU/ECE/CACM, 7 pagmas Rewte Rules fo Steamg ad Reuse F7 S4, James C. Hoe, CMU/ECE/CACM, 7 Applcablty to othe tasfoms ad ad D WHT DCT (type ) H P A DP T R / T R / WHT
13 Towad Vey Hgh evel Ps F7 S5, James C. Hoe, CMU/ECE/CACM, 7 s ge Easy to Use? F7 S6, James C. Hoe, CMU/ECE/CACM, 7
14 Easy to Use fo Whom? Poweful? Vey! Easy to use? Not Really.... low level cyptc doma specfc paametes complety of tegatg, usg, tug ad valdatg a statated P wth a eclosg cotet f you wet to ge ght ow whch cofguato would you as fo fst? f ot good eough, how to get a bette oe..... do you ow what good eough s F7 S7, James C. Hoe, CMU/ECE/CACM, 7 Dffeet Kds of Epets P Authos P Uses Applcato Developes Assemble, cofgue ad tegate multple Ps to buld lage chps Doma Epets Kow the udelyg algothms ad theoy specfc to the doma Hadwae Epets Ca buld HW based o a set of specs o SW mplemetato F7 S8, James C. Hoe, CMU/ECE/CACM, 7
15 Mae geeato the P Why lmt to stuctual vew of desg Why ot offe also.... pe owledge about outcome & tadeoff of paamete combatos P specfc meagful paametezatos, that s, as how fast? stead of how may? pefomace self moto, teface potocol chece ay X whee P authos ca do bette tha P uses Shft budes fom P uses to P authos mae owledge ad epetse eusable F7 S9, James C. Hoe, CMU/ECE/CACM, 7 Patg Thoughts Ecapsulatg doma owledge a doma specfc tool fo tuly hgh level desg automato Why s Spal DSP so good? As: t oly does lea DSP tasfoms (fotuately FFT s petty mpotat) vey well udestood mathematcs hghly stuctued, hghly egula computato eumeable desg space Udelyg appoach/famewo s geealzable!! F7 S3, James C. Hoe, CMU/ECE/CACM, 7
Lecture 12: Spiral: Domain Specific HLS. James C. Hoe Department of ECE Carnegie Mellon University
8 643 Lecture : Spiral: Domai Specific HLS James C. Hoe Departmet of ECE Caregie Mello Uiversity 8 643 F7 L S, James C. Hoe, CMU/ECE/CALCM, 07 Houseeepig Your goal today: see a eample of really highlevel
( m is the length of columns of A ) spanned by the columns of A : . Select those columns of B that contain a pivot; say those are Bi
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