With multiple processors, things of course change. The most important thing here is -DINTEL_SPECIFIC_CILKPLUS=1. Parallelizing Vector Addition } } C void vadd (real *A, real *B, int n){ int i; for (i=0; in; i++) A[i]+=B[i]; } if (n=BASE) { int i; for (i=0; in; i++) A[i]+=B[i]; } else { void vadd (real *A, real *B, int n){ cilk C ilk spawn vadd (A, B, n/2); sync; spawn vadd (A+n/2, B+n/2, n-n/2); Parallelization strategy: • Convert loops to recursion. Thus, the Cilk runtime system takes care of details like load balancing, paging, and communication protocols.
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Spawn! P P P PPerformance of Work-Stealing Theorem: Cilk’s work-stealing scheduler achieves an expected running time of TP T1/P+ O(T1) on P processors. [3]A showcase for Cilk’s capabilities was the Cilkchess parallel chess-playing program, which won several computer chess prizes in the 1990s, including the 1996 Open Dutch Computer Chess Championship. Maximize (T1/T1 )). cilk int fib (int n) { if (n2) return (n); else { int x,y; x = spawn fib(n-1); y = spawn fib(n-2); sync; return (x+y); } } The named child Cilk procedure can execute in parallel with the parent caller.
Cilk-5.
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Space BoundsTheorem. There is also an open source version available in the “cilkplus” branch of the GCC C/C++ compiler. FibonacciCilk is a faithful extension of C. Cilk is processor-oblivious. Complete step P threads ready.
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You can also run Cilk on uniprocessor machines, which is useful for development and debugging, although you won’t get any parallel speedup. In other words, Cilksan allows programmers to regression-test Cilk programs for deterministic behavior. This reducer is built into Cilk++ and Cilk Plus:
Other reducers can be used to construct linked lists or strings, and programmers can define custom reducers. Maximize (T1/T1 )).
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lcs. If you want to build from source, our welcome message and build instructions are here: OpenCilk README + Build InstructionsThe Tapir/LLVM compiler is the newest compiler that supports Cilk. Side benefit:DC is generally good for caches!Vector Addition cilkvoid vadd (real *A, real *B, int n){ if (n=BASE) { int i; for (i=0; in; i++) A[i]+=B[i]; } else { spawn vadd (A, B, n/2); spawn vadd (A+n/2, B+n/2, n-n/2); sync; } }Vector Addition Analysis To add two vectors of length n, where BASE = (1): Work:T1 = ? (n) Span:T1 = ? (lg n) Parallelism:T1/T1 = ? (n/lg n) BASEAnother Parallelization C void vadd1 (real *A, real *B, int n){ int i; for (i=0; in; i++) A[i]+=B[i]; } void vadd (real *A, real *B, int n){ int j; for (j=0; jn; j+=BASE) { vadd1(A+j, B+j, min(BASE, n-j)); } } Cilk cilk void vadd1 (real *A, real *B, int n){ int i; for (i=0; in; i++) my link } cilk void vadd (real *A, real *B, int n){ int j; for (j=0; jn; j+=BASE) { spawn vadd1(A+j, B+j, min(BASE, n-j)); } sync; }Analysis Work:T1 = ? Span:T1 = ? Parallelism:T1/T1 = ? PUNY! To add two vectors of length n, check BASE = (1): … … BASE (n) (n) (1)Optimal Choice of BASE To add two vectors of length n using an optimal choice of BASE to maximize parallelism: … … BASE Work: T1 = ? (n) Span:T1 = ? (BASE + n/BASE) Choosing BASE = √n)T1 = (√n) Parallelism: T1/T1 = useful reference ? (√n )Weird! Don’t we want to remove recursion? Parallel Programming = Sequential Program + Decomposition + Mapping + Communication and synchronizationScheduling … P P P $ $ $ Network Memory I/O • Cilk allows the click for info to express potential parallelism in an application. The current release of the Tapir/LLVM compiler is based on version 10.
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In the original MIT Cilk implementation, the first Cilk keyword is in fact cilk, which identifies a function which is written in Cilk. .