add intersection and difference operations for ArrayDimension

sapfor/experts/Sapfor_2017/_src/PrivateAnalyzer/private_arrays_search.cpp

@@ -3,6 +3,7 @@
 #include <unordered_map>
 #include <vector>
 #include <queue>
+#include <numeric>
 #include <iostream>
 
 #include "private_arrays_search.h"
@@ -181,7 +182,7 @@ int GetDefUseArray(SAPFOR::BasicBlock* block, LoopGraph* loop, ArrayAccessingInd
                 pair currentCoefs = coefsForDims.back();
                 ArrayDimension current_dim;
                 if (var->getType() == SAPFOR::CFG_ARG_TYPE::CONST) {
-                    current_dim = { stoul(var->getValue()), 0, 1 };
+                    current_dim = { stoul(var->getValue()), 1, 1 };
                 }
                 else
                 {
@@ -231,10 +232,97 @@ int GetDefUseArray(SAPFOR::BasicBlock* block, LoopGraph* loop, ArrayAccessingInd
 
 }
 
+vector<uint64_t> FindParticularSolution(const ArrayDimension& dim1, const ArrayDimension& dim2) 
+{
+    for (uint64_t i = 0; i < dim1.tripCount; i++) 
+    {
+        uint64_t leftPart = dim1.start + i * dim1.step;
+        for (uint64_t j = 0; j < dim2.tripCount; j++) 
+        {
+            uint64_t rightPart = dim2.start + j * dim2.step;
+            if (leftPart == rightPart) 
+            {
+                return {i, j};
+            }
+        }
+    }
+    return {};
+}
+/* dim1 /\ dim2 */
+ArrayDimension* IntersectDimension(const ArrayDimension& dim1, const ArrayDimension& dim2) 
+{
+    vector<uint64_t> partSolution =  FindParticularSolution(dim1, dim2);
+    if (partSolution.empty()) 
+    {
+        return NULL;
+    }
+    int64_t x0 = partSolution[0], y0 = partSolution[1];
+    /* x = x_0 + c * t */
+    /* y = y_0 + d * t */
+    int64_t c = dim2.step / gcd(dim1.step, dim2.step);
+    int64_t d = dim1.step / gcd(dim1.step, dim2.step);
+    int64_t tXMin, tXMax, tYMin, tYMax;
+    tXMin = -x0 / c;
+    tXMax = (dim1.tripCount - 1 - x0) / c;
+    tYMin = -y0 / d;
+    tYMax = (dim2.tripCount - 1 - y0) / d;
+    int64_t tMin = max(tXMin, tYMin);
+    uint64_t tMax = min(tXMax, tYMax);
+    if (tMin > tMax) 
+    {
+        return NULL;
+    }
+    uint64_t start3 = dim1.start + x0 * dim1.step;
+    uint64_t step3 = c * dim1.step;
+    ArrayDimension* result = new(ArrayDimension){ start3, step3, tMax + 1 };
+    return result;
+}
+
+/* dim1 / dim2 */
+vector<ArrayDimension> DimensionDifference(const ArrayDimension& dim1, const ArrayDimension& dim2)
+{
+    ArrayDimension* intersection = IntersectDimension(dim1, dim2);
+    if (!intersection) 
+    {
+        return {dim1, dim2};
+    }
+    vector<ArrayDimension> result;
+    /* add the part before intersection */
+    if (dim1.start < intersection->start)
+    {
+        result.push_back({ dim1.start, dim1.step, (intersection->start - dim1.start) / dim1.step });
+    }
+    /* add the parts between intersection steps */
+    uint64_t start = (intersection->start - dim1.start) / dim1.step;
+    uint64_t interValue = intersection->start;
+    for (int64_t i = start; dim1.start + i * dim1.step <= intersection->start + intersection->step * (intersection->tripCount - 1); i++)
+    {
+        uint64_t centerValue = dim1.start + i * dim1.step;
+        if (centerValue == interValue)
+        {
+            if (i - start  > 1)
+            {
+                result.push_back({ dim1.start + (start + 1) * dim1.step, dim1.step, i - start - 1 });
+                start = i;
+            }
+            interValue += intersection->step;
+        }
+    }
+    /* add the part after intersection */
+    if (intersection->start + intersection->step * (intersection->tripCount - 1) < dim1.start + dim1.step * (dim1.tripCount - 1))
+    {
+        /* first value after intersection */
+        uint64_t right_start = intersection->start + intersection->step * (intersection->tripCount - 1) + dim1.step;
+        uint64_t tripCount = (dim1.start + dim1.step * dim1.tripCount - right_start) / dim1.step;
+        result.push_back({right_start, dim1.step, tripCount});
+    }
+    delete(intersection);
+    return result;
+}
+
 
 void FindPrivateArrays(map<string, vector<LoopGraph*>> &loopGraph, map<FuncInfo*, vector<SAPFOR::BasicBlock*>>& FullIR)
-{   
+{  
-    cout << "FindPrivateArrays\n";
     for (const auto& curr_graph_pair: loopGraph)
     {
         for (const auto& curr_loop : curr_graph_pair.second)