1. Object - Oriented Programming Language
Programmability
C++
Object - Oriented Programming Language

4. Expression Template Engine
Mechanization
<PETE> C + A B
Portable
Expression Template Engine

5. Generalized Array Indexing
Reduction Semantics
Psi - Calculus
Generalized Array Indexing

6. Memory Mapping
Loop Unrolling
Processor Mapping

7. Compile Time Loop Translation
Performance
Efficient Loops
Compile Time Loop Translation

8. Processor & Memory Mapping Σ I=0 processor 0 X processor 1
CACHE
(T H ) -1 …
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processor 1
Processor & Memory
Mapping

9. Operations
shift
take
rotate

10. Array.h template <class T = int> class Array { . . .
template<class RHS>
Array &operator=(const Expression<RHS> &rhs)
for(long i=0; i<this->size; i++)
d[i] = forEach(rhs, EvalLeaf1(i), OpCombine());
return *this; //equivalent to: a.d[i] = b.d[i]+c.d[i]+d.d[i] }
private:
T * d;
vector <int> shape;
long size;

11. Array.h integrates with <PETE> Psi-Calculus platform
N – dimensional capability
( required for processor / memory mapping )

12. Array.h
Results : Comparable to Hand Coded C