❆ ❘❡♣r♦❞✉❝✐❜❧❡ ❘❡s❡❛r❝❤ ▼❡t❤♦❞♦❧♦❣② ❢♦r ❉❡s✐❣♥✐♥❣ ❛♥❞ ❈♦♥❞✉❝t✐♥❣ ❋❛✐t❤❢✉❧ ❙✐♠✉❧❛t✐♦♥s ♦❢ ❉②♥❛♠✐❝ ❚❛s❦✲❜❛s❡❞ ❙❝✐❡♥t✐✜❝ ❆♣♣❧✐❝❛t✐♦♥ ▲✉❦❛ ❙t❛♥✐s✐❝ ■♥r✐❛✱ ❇♦r❞❡❛✉① ❙✉❞✲❖✉❡st✱ ❋r❛♥❝❡ ▼P❈❉❋ s❡♠✐♥❛r ●❛r❝❤✐♥❣ ❋❡❜r✉❛r② ✷✹✱ ✷✵✶✼
❇❛❝❦❣r♦✉♥❞ Phd (supervisors A. Legrand & J.F . Mehaut) Grenoble, France Bachelor Modeling and simulation of dynamic (CS specialty) task-based applications EE faculty Methodology for reproducible research Belgrade, Serbia Statistical analysis, trace visualizations 2011 2012 2013 2014 2015 2016 2017 PostDoc Research Master (parallelism specialty) Bordeaux, France Performance optimization Grenoble, France Benchmarking Large scale simulations CPU cache modeling Modeling complex kernels ARM vs Intel Simulating openQCD ✷ ✴ ✷✾
❇❛❝❦❣r♦✉♥❞ Phd (supervisors A. Legrand & J.F . Mehaut) Grenoble, France Bachelor Modeling and simulation of dynamic (CS specialty) task-based applications EE faculty Methodology for reproducible research Belgrade, Serbia Statistical analysis, trace visualizations 2011 2012 2013 2014 2015 2016 2017 PostDoc Research Master (parallelism specialty) Bordeaux, France Performance optimization Grenoble, France Benchmarking Large scale simulations CPU cache modeling Modeling complex kernels ARM vs Intel Simulating openQCD ✷ ✴ ✷✾
P❛r❛❧❧❡❧ Pr♦❣r❛♠♠✐♥❣ ❈❤❛❧❧❡♥❣❡s ❈♦♠♠✉♥✐❝❛t✐♦♥s ❛♥❞ ❞❛t❛ ♣❧❛❝❡♠❡♥t ❙②♥❝❤r♦♥✐③❛t✐♦♥ ♦❢ t❤❡ ✇♦r❦❡rs Theory ❈♦♠♣✉t❛t✐♦♥ ❞✉r❛t✐♦♥ ✈❛r✐❛❜✐❧✐t② � s❝❛❧❛❜✐❧✐t② ❊①♣❧♦✐t✐♥❣ ❤②❜r✐❞ ♠❛❝❤✐♥❡s ❈❤♦♦s✐♥❣ ❣r❛♥✉❧❛r✐t② � ♣♦rt❛❜✐❧✐t② ♦❢ ❝♦❞❡ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ Practice ✸ ✴ ✷✾
▼♦♥♦❧✐t❤✐❝ ❝♦❞❡s ❤❛r❞ t♦ ❞❡✈❡❧♦♣ ❛♥❞ ♠❛✐♥t❛✐♥ ❋✐①❡❞ s❝❤❡❞✉❧✐♥❣ s❡♥s✐t✐✈❡ t♦ ✈❛r✐❛❜✐❧✐t② ❍❛r❞ ❛♥❞ ❧♦♥❣ t♦ ♦♣t✐♠✐③❡ ♣❡r❢♦r♠❛♥❝❡ ♣♦rt❛❜✐❧✐t② ❘❡❝❡♥t t❛s❦✲❜❛s❡❞ ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭P❛❘❙❊❈✱ ❖♠♣❙s✱ ❈❤❛r♠✰✰✱ ❙t❛rP❯✱ ✳ ✳ ✳ ✮ ❙✐♥❣❧❡✱ ❛❜str❛❝t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧ ❜❛s❡❞ ♦♥ ❉❆● ❘✉♥t✐♠❡ s②st❡♠ r❡s♣♦♥s✐❜❧❡ ❢♦r ❞②♥❛♠✐❝ s❝❤❡❞✉❧✐♥❣ P♦rt❛❜✐❧✐t② ♦❢ ❝♦❞❡ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ ■♥tr♦❞✉❝✐♥❣ r✉♥t✐♠❡ s②st❡♠ ♦✈❡r❤❡❛❞ ❉❡✈❡❧♦♣✐♥❣ ♦♠♥✐♣♦t❡♥t r✉♥t✐♠❡ ♥❡✇ ❝❤❛❧❧❡♥❣❡s ❉✐✛❡r❡♥t Pr♦❣r❛♠♠✐♥❣ ❆♣♣r♦❛❝❤❡s ❚r❛❞✐t✐♦♥❛❧✱ ❡①♣❧✐❝✐t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭▼P■✱ ❈❯❉❆✱ ❖♣❡♥▼P✱ ♣t❤r❡❛❞s✱ ✳ ✳ ✳ ✮ P❡r❢❡❝t ❝♦♥tr♦❧ � ♠❛①✐♠❛❧ ❛❝❤✐❡✈❛❜❧❡ ♣❡r❢♦r♠❛♥❝❡ ❊✣❝✐❡♥t ❣r❛♥✉❧❛r✐t② � ❛❞✈❛♥❝❡❞ ♥✉♠❡r✐❝❛❧ ❢❡❛t✉r❡s ✹ ✴ ✷✾
❘❡❝❡♥t t❛s❦✲❜❛s❡❞ ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭P❛❘❙❊❈✱ ❖♠♣❙s✱ ❈❤❛r♠✰✰✱ ❙t❛rP❯✱ ✳ ✳ ✳ ✮ ❙✐♥❣❧❡✱ ❛❜str❛❝t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧ ❜❛s❡❞ ♦♥ ❉❆● ❘✉♥t✐♠❡ s②st❡♠ r❡s♣♦♥s✐❜❧❡ ❢♦r ❞②♥❛♠✐❝ s❝❤❡❞✉❧✐♥❣ P♦rt❛❜✐❧✐t② ♦❢ ❝♦❞❡ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ ■♥tr♦❞✉❝✐♥❣ r✉♥t✐♠❡ s②st❡♠ ♦✈❡r❤❡❛❞ ❉❡✈❡❧♦♣✐♥❣ ♦♠♥✐♣♦t❡♥t r✉♥t✐♠❡ ♥❡✇ ❝❤❛❧❧❡♥❣❡s ❉✐✛❡r❡♥t Pr♦❣r❛♠♠✐♥❣ ❆♣♣r♦❛❝❤❡s ❚r❛❞✐t✐♦♥❛❧✱ ❡①♣❧✐❝✐t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭▼P■✱ ❈❯❉❆✱ ❖♣❡♥▼P✱ ♣t❤r❡❛❞s✱ ✳ ✳ ✳ ✮ P❡r❢❡❝t ❝♦♥tr♦❧ � ♠❛①✐♠❛❧ ❛❝❤✐❡✈❛❜❧❡ ♣❡r❢♦r♠❛♥❝❡ ❊✣❝✐❡♥t ❣r❛♥✉❧❛r✐t② � ❛❞✈❛♥❝❡❞ ♥✉♠❡r✐❝❛❧ ❢❡❛t✉r❡s ▼♦♥♦❧✐t❤✐❝ ❝♦❞❡s � ❤❛r❞ t♦ ❞❡✈❡❧♦♣ ❛♥❞ ♠❛✐♥t❛✐♥ ❋✐①❡❞ s❝❤❡❞✉❧✐♥❣ � s❡♥s✐t✐✈❡ t♦ ✈❛r✐❛❜✐❧✐t② ❍❛r❞ ❛♥❞ ❧♦♥❣ t♦ ♦♣t✐♠✐③❡ � ♣❡r❢♦r♠❛♥❝❡ ♣♦rt❛❜✐❧✐t② ✹ ✴ ✷✾
■♥tr♦❞✉❝✐♥❣ r✉♥t✐♠❡ s②st❡♠ ♦✈❡r❤❡❛❞ ❉❡✈❡❧♦♣✐♥❣ ♦♠♥✐♣♦t❡♥t r✉♥t✐♠❡ ♥❡✇ ❝❤❛❧❧❡♥❣❡s ❉✐✛❡r❡♥t Pr♦❣r❛♠♠✐♥❣ ❆♣♣r♦❛❝❤❡s ❚r❛❞✐t✐♦♥❛❧✱ ❡①♣❧✐❝✐t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭▼P■✱ ❈❯❉❆✱ ❖♣❡♥▼P✱ ♣t❤r❡❛❞s✱ ✳ ✳ ✳ ✮ P❡r❢❡❝t ❝♦♥tr♦❧ � ♠❛①✐♠❛❧ ❛❝❤✐❡✈❛❜❧❡ ♣❡r❢♦r♠❛♥❝❡ ❊✣❝✐❡♥t ❣r❛♥✉❧❛r✐t② � ❛❞✈❛♥❝❡❞ ♥✉♠❡r✐❝❛❧ ❢❡❛t✉r❡s ▼♦♥♦❧✐t❤✐❝ ❝♦❞❡s � ❤❛r❞ t♦ ❞❡✈❡❧♦♣ ❛♥❞ ♠❛✐♥t❛✐♥ ❋✐①❡❞ s❝❤❡❞✉❧✐♥❣ � s❡♥s✐t✐✈❡ t♦ ✈❛r✐❛❜✐❧✐t② ❍❛r❞ ❛♥❞ ❧♦♥❣ t♦ ♦♣t✐♠✐③❡ � ♣❡r❢♦r♠❛♥❝❡ ♣♦rt❛❜✐❧✐t② ❘❡❝❡♥t t❛s❦✲❜❛s❡❞ ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s POTRF TRSM ✭P❛❘❙❊❈✱ ❖♠♣❙s✱ ❈❤❛r♠✰✰✱ ❙t❛rP❯✱ ✳ ✳ ✳ ✮ TRSM TRSM GEMM TRSM GEMM GEMM GEMM GEMM POTRF GEMM GEMM ❙✐♥❣❧❡✱ ❛❜str❛❝t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧ ❜❛s❡❞ ♦♥ ❉❆● GEMM TRSM TRSM TRSM GEMM GEMM GEMM GEMM ❘✉♥t✐♠❡ s②st❡♠ r❡s♣♦♥s✐❜❧❡ ❢♦r ❞②♥❛♠✐❝ s❝❤❡❞✉❧✐♥❣ POTRF GEMM GEMM GEMM TRSM TRSM P♦rt❛❜✐❧✐t② ♦❢ ❝♦❞❡ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ GEMM GEMM POTRF GEMM TRSM GEMM GEMM POTRF ✹ ✴ ✷✾
❉✐✛❡r❡♥t Pr♦❣r❛♠♠✐♥❣ ❆♣♣r♦❛❝❤❡s ❚r❛❞✐t✐♦♥❛❧✱ ❡①♣❧✐❝✐t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭▼P■✱ ❈❯❉❆✱ ❖♣❡♥▼P✱ ♣t❤r❡❛❞s✱ ✳ ✳ ✳ ✮ P❡r❢❡❝t ❝♦♥tr♦❧ � ♠❛①✐♠❛❧ ❛❝❤✐❡✈❛❜❧❡ ♣❡r❢♦r♠❛♥❝❡ ❊✣❝✐❡♥t ❣r❛♥✉❧❛r✐t② � ❛❞✈❛♥❝❡❞ ♥✉♠❡r✐❝❛❧ ❢❡❛t✉r❡s ▼♦♥♦❧✐t❤✐❝ ❝♦❞❡s � ❤❛r❞ t♦ ❞❡✈❡❧♦♣ ❛♥❞ ♠❛✐♥t❛✐♥ ❋✐①❡❞ s❝❤❡❞✉❧✐♥❣ � s❡♥s✐t✐✈❡ t♦ ✈❛r✐❛❜✐❧✐t② ❍❛r❞ ❛♥❞ ❧♦♥❣ t♦ ♦♣t✐♠✐③❡ � ♣❡r❢♦r♠❛♥❝❡ ♣♦rt❛❜✐❧✐t② ❘❡❝❡♥t t❛s❦✲❜❛s❡❞ ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧s ✭P❛❘❙❊❈✱ ❖♠♣❙s✱ ❈❤❛r♠✰✰✱ ❙t❛rP❯✱ ✳ ✳ ✳ ✮ ❙✐♥❣❧❡✱ ❛❜str❛❝t ♣r♦❣r❛♠♠✐♥❣ ♠♦❞❡❧ ❜❛s❡❞ ♦♥ ❉❆● ❘✉♥t✐♠❡ s②st❡♠ r❡s♣♦♥s✐❜❧❡ ❢♦r ❞②♥❛♠✐❝ s❝❤❡❞✉❧✐♥❣ P♦rt❛❜✐❧✐t② ♦❢ ❝♦❞❡ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ ■♥tr♦❞✉❝✐♥❣ r✉♥t✐♠❡ s②st❡♠ ♦✈❡r❤❡❛❞ ❉❡✈❡❧♦♣✐♥❣ ♦♠♥✐♣♦t❡♥t r✉♥t✐♠❡ � ♥❡✇ ❝❤❛❧❧❡♥❣❡s ✹ ✴ ✷✾
❚❛s❦✲❜❛s❡❞ Pr♦❣r❛♠♠✐♥❣ P❛r❛❞✐❣♠ ❚✐❧❡❞ ❈❤♦❧❡s❦② ❆❧❣♦r✐t❤♠ ✉s✐♥❣ ❙❡q✉❡♥t✐❛❧ ❚❛s❦ ❋❧♦✇ ✭❙❚❋✮ for (j = 0; j < N; j++) { POTRF (RW,A[j][j]); for (i = j+1; i < N; i++) TRSM (RW,A[i][j], R,A[j][j]); for (i = j+1; i < N; i++) { SYRK (RW,A[i][i], R,A[i][j]); POTRF for (k = j+1; k < i; k++) TRSM GEMM (RW,A[i][k], R,A[i][j], R,A[k][j]); SYRK } } GEMM wait(); ✺ ✴ ✷✾
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