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# Eq3then d2 2 else d2 1 endif ifm3keq3then d3 2 else d3

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Unformatted text preview: i3-1) + r(i1+1,i2+1,i3+1)) enddo enddo enddo Stencil Optimization (2D) •  Adjacent stencils use common subexpressions: •  Observation: Cache partial sums for reuse… +++++ +++++ •  Benefits are greater for 3D stencils… +++++ MG Stencil Optimization + + + + + + = + MG Stencil Optimization + + + + rprj3 in Fortran with stencil opt. > > > > > > > > do j3=2,m3j-1 i3 = 2*j3-d3 do j2=2,m2j-1 i2 = 2*j2-d2 do j1=2,m1j i1 = 2*j1-d1 x1(i1-1) = r(i1-1,i2-1,i3 ) + r(i1-1,i2+1,i3 ) + r(i1-1,i2, i3-1) + r(i1-1,i2, i3+1) y1(i1-1) = r(i1-1,i2-1,i3-1) + r(i1-1,i2-1,i3+1) + r(i1-1,i2+1,i3-1) + r(i1-1,i2+1,i3+1) enddo do j1=2,m1j-1 i1 = 2*j1-d1 y2 = r(i1, i2-1,i3-1) + r(i1, i2-1,i3+1) + r(i1, i2+1,i3-1) + r(i1, i2+1,i3+1) x2 = r(i1, i2-1,i3 ) + r(i1, i2+1,i3 ) + r(i1, i2, i3-1) + r(i1, i2, i3+1) s(j1,j2,j3) = 0.5D0 * r(i1,i2,i3) + 0.25D0 * (r(i1-1,i2,i3) + r(i1+1,i2,i3) + x2) + 0.125D0 * ( x1(i1-1) + x1(i1+1) + y2) + 0.0625D0 * ( y1(i1-1) + y1(i1+1) ) enddo enddo enddo Parallel D...
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