public Cost computeRefCost(LoopHeaderChord loop, SubscriptExpr se) { Cost tripL = loop.getTripCount(); InductionVar ivar = loop.getPrimaryInductionVar(); if (ivar == null) return tripL; // Compute // tripL = (ubL - lbL + stepL) / stepL int nsubs = se.numSubscripts(); // number of subscripts in the subscript LoopHeaderChord tloop = loop.getTopLoop(); VariableDecl iv = ivar.getVar(); for (int i = 0; i < nsubs - 1; i++) { // for c code // If the loop index variable of this loop appears in any of the // subscripts other then the last, then return tripL. Expr sI = se.getSubscript(i); AffineExpr ae = tloop.isAffine(sI); if (ae == null) return null; if (ae.hasTerm(iv)) return tripL; } int fs = nsubs - 1; Expr s0 = se.getSubscript(fs); AffineExpr ae = tloop.isAffine(s0); if (ae == null) return null; int at = ae.getTermIndexOrig(iv); long coeff = 0; if (at >= 0) coeff = ae.getCoefficient(at); if (coeff == 0) // Invariant Reuse. return new Cost(1.0, 0); long stepL = loop.getStepValue(); long stride = stepL * coeff; if (stride < 0) stride = -stride; // Unit Reuse. Type et = se.getCoreType().getPointedTo(); int bs = et.memorySizeAsInt(Machine.currentMachine); int cs = Machine.currentMachine.getCacheSize(bs); if (stride <= cs) { // cache line or block size tripL.multiply(stride); tripL.divide(cs); return tripL; } // No Reuse. return tripL; }
/** * Compute the reference groups for this loop. Two array references are in the same group with * respect to this loop if - there is a loop-independent dependence between them, or - the * dependence distance(dependence vector entry dl) for this loop is less than some constant * *dist*, and all other dependence vector entries are 0. - the two array refer to the same array * and differ by at most *dist2* in the first subscript dimension, where d is less than or equal * to the cache line size in terms of array elements. All other subscripts must be identical. * Notes: Here we assume dist1 = dist2 = 2 */ private void computeRefGroups( int level, int dist1, int dist2, Table<Declaration, SubscriptExpr> arrayRefs, Vector<RefGroup> refGroups) { if (arrayRefs == null) return; Enumeration<Declaration> ek = arrayRefs.keys(); while (ek.hasMoreElements()) { VariableDecl vd = (VariableDecl) ek.nextElement(); String s = vd.getName(); // array name Object[] v = arrayRefs.getRowArray(vd); // vector of SubscriptExpr's int vi = v.length; for (int j = vi - 1; j >= 0; j--) { SubscriptExpr sr = (SubscriptExpr) v[j]; Vector<LoopHeaderChord> allRelatedLoops = sr.allRelatedLoops(); // ** Incorrect when something like a[(j+i][j] int arls = allRelatedLoops.size(); int firstsub = arls - 1; // ** Making an invalid assumption here // Process the list of references r' with which r has a data // dependence, and r is the source(data flows from r to r'). RefGroup rg = new RefGroup(s, sr); Object[] edges = graph.getEdges(sr); int len = edges.length; for (int i = 0; i < len; i++) { DDEdge edge = (DDEdge) edges[i]; if (edge.isSpatial()) continue; // Condition(1)-(a) in McKinley's paper if (edge.isLoopIndependentDependency()) { // add rP to the RefGroup of r: rg.add(edge); continue; } // Condition(1)-(b) in McKinley's paper computeEdgeRefs(edge, rg, level, dist1); if (arls <= 0) continue; // Condition(2) in McKinley's paper // rlevel is the level of the loop related to the first subscript. int rlevel = allRelatedLoops.elementAt(firstsub).getNestedLevel(); computeEdgeRefs(edge, rg, rlevel, dist2); } boolean isInExistingRefGroups = false; int rgl = refGroups.size(); for (int i = 0; i < rgl; i++) { RefGroup rg2 = refGroups.elementAt(i); if (!rg2.getName().equals(s)) continue; isInExistingRefGroups = rg2.contains(rg); if (isInExistingRefGroups) { rg2.add(rg); break; } } if (!isInExistingRefGroups) refGroups.addElement(rg); } } }