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ExpressionsSetRandom_Tests.cpp
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ExpressionsSetRandom_Tests.cpp
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/*
* #%~
* The VDM to C Code Generator
* %%
* Copyright (C) 2015 - 2016 Overture
* %%
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public
* License along with this program. If not, see
* <http://www.gnu.org/licenses/gpl-3.0.html>.
* #~%
*/
#include "gtest/gtest.h"
extern "C"
{
#include "Vdm.h"
#include <stdio.h>
#include <math.h>
//Maximum values have more recognizable hex representations.
#include <limits.h>
}
//Utility functions
//------------------------------------------------
//TODO use correct set construction
static TVP newSet(int size, int* arr)
{
struct TypedValue** value = (struct TypedValue**) calloc(size, sizeof(struct TypedValue*));
for (int i = 0; i < size; i++)
{
value[i] = newInt(arr[i]);
}
return newSetWithValues(size, value);
}
//End utility functions
//------------------------------------------------
//#define COMPREHENSION(exp,var,S,P)
#define DEFAULT_SET_COMP_BUFFER 1
#define DEFAULT_SET_COMP_BUFFER_STEPSIZE 10
TEST(Expression_SetRandom, setComprehension)
{
int arr[] = { 1, 1, 2, 8, 15 };
TVP S = newSet(5, arr); //Technically this isn't a set but we need this for testing
TVP t = newInt(10);
//{ exp | v in set S . P}
TVP comp = NULL;
{
//S, check and unwrap
assert(S->type == VDM_SET && "Value is not a set");
UNWRAP_COLLECTION(col, S);
int count = 0;
int size = DEFAULT_SET_COMP_BUFFER;
struct TypedValue** buf = (struct TypedValue**) calloc(size, sizeof(struct TypedValue*));
for (int i = 0; i < col->size; i++)
{
TVP v= col->value[i]; // set binding
TVP cond =vdmLessOrEqual(v,t);//P or NULL if none
if(cond==NULL || cond->value.boolVal)
{
if(count>=size)
{
//buffer too small add memory chunk
size+=(DEFAULT_SET_COMP_BUFFER_STEPSIZE*sizeof(struct TypedValue*));
buf = (struct TypedValue**)realloc(buf,size);
}
TVP element = vdmClone(v); // exp, the vdmClone here will be inside any expression
buf[count++]=element;
}
if(cond!=NULL)
{
vdmFree(cond);
}
}
EXPECT_EQ(1, buf[0]->value.intVal);
EXPECT_EQ(2, buf[1]->value.intVal);
EXPECT_EQ(8, buf[2]->value.intVal);
comp = newSetWithValues(count, buf);
for (int i = 0; i < count; i++)
{
vdmFree(buf[i]);
}
free(buf);
}
// COMPREHENSION(exp,var,S,vdmLessThan(var,t));
EXPECT_EQ(VDM_SET, comp->type);
UNWRAP_COLLECTION(col, comp);
EXPECT_EQ(3, col->size);
//Wrap up.
vdmFree(S);
vdmFree(t);
}
TEST(Expression_SetRandom, setInSet)
{
const int numelems = 10;
TVP elem = newInt(INT_MAX);
TVP set = newSetVar(1, elem);
struct TypedValue *randelems[100], *randelemscpy[100];
//Make sure that we're checking for the value itself and not the newInt structure.
vdmFree(elem);
elem = newInt(INT_MAX);
TVP res = vdmSetMemberOf(set, elem);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(elem);
for(int i = 0; i < numelems; i++)
{
randelems[i] = newInt(rand());
}
vdmFree(set);
set = newSetWithValues(numelems, randelems);
for(int i = 0; i < numelems; i++)
{
randelemscpy[i] = vdmClone(randelems[i]);
}
for(int i = 0; i < numelems; i++)
{
vdmFree(res);
res = vdmSetMemberOf(set, randelemscpy[i]);
EXPECT_EQ(true, res->value.boolVal);
}
//Wrap up.
vdmFree(res);
vdmFree(set);
for(int i = 0; i < numelems; i++)
{
vdmFree(randelems[i]);
vdmFree(randelemscpy[i]);
}
}
TEST(Expression_SetRandom, setNotInSet)
{
const int numelems = 10;
TVP elem = newInt(INT_MAX);
TVP set = newSetVar(1, elem);
struct TypedValue *randelems[100], *randelemscpy[100];
//Make sure that we're checking for the value itself and not the newInt structure.
vdmFree(elem);
elem = newInt(INT_MAX);
TVP res = vdmSetNotMemberOf(set, elem);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(elem);
vdmFree(res);
elem = newInt(INT_MAX - 1);
res = vdmSetNotMemberOf(set, elem);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(elem);
for(int i = 0; i < numelems; i++)
{
randelems[i] = newInt(rand());
}
vdmFree(set);
set = newSetWithValues(numelems, randelems);
for(int i = 0; i < numelems; i++)
{
randelemscpy[i] = vdmClone(randelems[i]);
}
for(int i = 0; i < numelems; i++)
{
vdmFree(res);
res = vdmSetNotMemberOf(set, randelemscpy[i]);
EXPECT_EQ(false, res->value.boolVal);
}
//Wrap up.
vdmFree(res);
vdmFree(set);
for(int i = 0; i < numelems; i++)
{
free(randelems[i]);
free(randelemscpy[i]);
}
}
TEST(Expression_SetRandom, setUnion)
{
const int numelems1 = 101;
const int numelems2 = 97;
TVP randelems1[numelems1];
TVP randelems2[numelems2];
TVP set1;
TVP set2;
TVP unionset;
TVP res;
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
for(int i = 0; i < numelems2; i++)
{
randelems2[i] = newInt(rand());
}
//Create the random test sets.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems2, randelems2);
unionset = vdmSetUnion(set1, set2);
//Check membership of each test element in union.
for(int i = 0; i < numelems1; i++)
{
res = vdmSetMemberOf(unionset, randelems1[i]);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
}
for(int i = 0; i < numelems2; i++)
{
res = vdmSetMemberOf(unionset, randelems2[i]);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
}
//Ensure that there are no other elements.
EXPECT_EQ(true, ((struct Collection*)(unionset->value.ptr))->size <= \
((struct Collection*)(set1->value.ptr))->size + \
((struct Collection*)(set2->value.ptr))->size);
//Wrap up.
vdmFree(set1);
vdmFree(set2);
vdmFree(unionset);
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
for(int i = 0; i < numelems2; i++)
{
vdmFree(randelems2[i]);
}
}
TEST(Expression_SetRandom, setIntersection)
{
const int numelems1 = 101;
const int numelems2 = 97;
TVP randelems1[numelems1];
TVP randelems2[numelems2];
TVP set1;
TVP set2;
TVP interset;
TVP res;
//Generate the random test value collections. Get random values modulo 100
//to overcome the stellar performance of the random number generator.
srand(time(0));
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand() % 100);
}
for(int i = 0; i < numelems2; i++)
{
randelems2[i] = newInt(rand() % 100);
}
//Create the random test sets.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems2, randelems2);
interset = vdmSetInter(set1, set2);
UNWRAP_COLLECTION(intercol, interset);
//Check that intersection is a subset of both sets.
res = vdmSetSubset(interset, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
res = vdmSetSubset(interset, set2);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//Ensure that intersection has at most as many elements as the smallest of the two sets.
UNWRAP_COLLECTION(col1, set1);
UNWRAP_COLLECTION(col2, set2);
EXPECT_EQ(true, (intercol->size <= col1->size) && (intercol->size <= col2->size));
//Wrap up.
vdmFree(set1);
vdmFree(set2);
vdmFree(interset);
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
for(int i = 0; i < numelems2; i++)
{
vdmFree(randelems2[i]);
}
}
TEST(Expression_SetRandom, setDifference)
{
const int numelems1 = 101;
const int numelems2 = 97;
TVP randelems1[numelems1];
TVP randelems2[numelems2];
TVP set1;
TVP set2;
TVP diffset;
TVP interset;
TVP res;
//Generate the random test value collections. Get random values modulo 100
//to overcome the stellar performance of the random number generator.
srand(time(0));
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand() % 100);
}
for(int i = 0; i < numelems2; i++)
{
randelems2[i] = newInt(rand() % 100);
}
//Create the random test sets.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems2, randelems2);
diffset = vdmSetDifference(set1, set2);
UNWRAP_COLLECTION(diffcol, diffset);
//Check that the difference is a subset of the original set.
res = vdmSetSubset(diffset, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//Check that none of the elements in set2 is in the difference set.
interset = vdmSetInter(diffset, set2);
UNWRAP_COLLECTION(intercol, interset);
EXPECT_EQ(true, intercol->size == 0);
//Wrap up.
vdmFree(set1);
vdmFree(set2);
vdmFree(diffset);
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
for(int i = 0; i < numelems2; i++)
{
vdmFree(randelems2[i]);
}
}
TEST(Expression_SetRandom, setSubset)
{
const int numelems1 = 101;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP res;
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
//Create test set.
set1 = newSetWithValues(numelems1, randelems1);
//Set must be a subset of itself.
res = vdmSetSubset(set1, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//Get corresponding collection of test set without duplicates.
UNWRAP_COLLECTION(setnodupscol, set1);
//Make this into a new but smaller set.
set2 = newSetWithValues(setnodupscol->size - 1, setnodupscol->value);
res = vdmSetSubset(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//And a silly non-subset test.
vdmFree(set1);
vdmFree(set2);
set1 = newSetVar(1, newInt(1));
set2 = newSetVar(1, newInt(2));
res = vdmSetSubset(set1, set2);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(res);
//Wrap up.
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
vdmFree(set1);
vdmFree(set2);
}
TEST(Expression_SetRandom, setProperSubset)
{
const int numelems1 = 101;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP res;
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
//Create test set.
set1 = newSetWithValues(numelems1, randelems1);
//Set must not be a proper subset of itself.
res = vdmSetProperSubset(set1, set1);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(res);
//Get corresponding collection of test set without duplicates.
UNWRAP_COLLECTION(setnodupscol, set1);
//Make this into a new but smaller set.
set2 = newSetWithValues(setnodupscol->size - 1, setnodupscol->value);
res = vdmSetProperSubset(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//And a silly non-subset test.
vdmFree(set1);
vdmFree(set2);
set1 = newSetVar(1, newInt(1));
set2 = newSetVar(1, newInt(2), newInt(3));
res = vdmSetProperSubset(set1, set2);
EXPECT_EQ(false, res->value.boolVal);
//Wrap up.
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
vdmFree(set1);
vdmFree(set2);
vdmFree(res);
}
TEST(Expression_SetRandom, setEquality)
{
const int numelems1 = 101;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP res;
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
//Create test set.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems1, randelems1);
//Sets must be equal.
res = vdmSetEquals(set1, set2);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//And a silly inequality test.
vdmFree(set1);
vdmFree(set2);
set1 = newSetVar(1, newInt(1));
set2 = newSetVar(1, newInt(2));
res = vdmSetEquals(set1, set2);
EXPECT_EQ(false, res->value.boolVal);
//Wrap up.
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
vdmFree(set1);
vdmFree(set2);
vdmFree(res);
}
TEST(Expression_SetRandom, setInequality)
{
const int numelems1 = 101;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP res;
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
//Create test set.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems1, randelems1);
//Sets must be equal.
res = vdmSetNotEquals(set1, set2);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(res);
//And a silly inequality test.
vdmFree(set1);
vdmFree(set2);
set1 = newSetVar(1, newInt(1));
set2 = newSetVar(1, newInt(2));
res = vdmSetNotEquals(set1, set2);
EXPECT_EQ(true, res->value.boolVal);
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
vdmFree(set1);
vdmFree(set2);
vdmFree(res);
}
TEST(Expression_SetRandom, setCard)
{
const int numelems = 5;
TVP elems[numelems] = {newInt(1), newInt(2), newInt(2), newInt(3), newInt(INT_MAX)};
TVP theset;
//Cardinality of empty set.
theset = newSetWithValues(0, NULL);
EXPECT_EQ(0, (vdmSetCard(theset))->value.intVal);
vdmFree(theset);
//Cardinality of non-empty set.
theset = newSetWithValues(numelems, elems);
EXPECT_EQ(numelems - 1, (vdmSetCard(theset))->value.intVal);
//Wrap up.
for(int i = 0; i < numelems; i++)
{
vdmFree(elems[i]);
}
vdmFree(theset);
}
TEST(Expression_SetRandom, setDunion)
{
const int numelems1 = 101;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP set3;
TVP set4;
TVP set5;
TVP res;
//Initialize main set of sets.
set3 = newSetVar(0, NULL);
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
//A set containing one singleton set.
set1 = newSetVar(1, newSetVar(1, randelems1[i]));
set2 = vdmSetUnion(set3, set1);
vdmFree(set3);
set3 = set2;
vdmFree(set1);
}
set1 = vdmSetDunion(set3);
vdmFree(set3);
//Check that every element of the original singletons are in the union set.
for(int i = 0; i < numelems1; i++)
{
res = vdmSetMemberOf(set1, randelems1[i]);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
}
//Similar check but with non-singleton initial sets.
vdmFree(set1);
set1 = newSetVar(2, newInt(1), newInt(2));
set2 = newSetVar(3, newInt(3), newInt(4), newInt(5));
set3 = newSetVar(1, set1);
set4 = newSetVar(1, set2);
set5 = vdmSetUnion(set3, set4);
vdmFree(set1);
vdmFree(set2);
vdmFree(set3);
vdmFree(set4);
set1 = vdmSetDunion(set5);
vdmFree(set5);
//Check that the original sets are subsets of the distributed union set.
set2 = newSetVar(2, newInt(1), newInt(2));
set3 = newSetVar(3, newInt(3), newInt(4), newInt(5));
res = vdmSetSubset(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
res = vdmSetSubset(set3, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
//Wrap up.
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
vdmFree(set1);
vdmFree(set2);
vdmFree(set3);
}
TEST(Expression_SetRandom, setDinter)
{
TVP set1;
TVP set2;
TVP set3;
TVP set4;
TVP set5;
TVP res;
set1 = newSetVar(3, newInt(1), newInt(2), newInt(3));
set2 = newSetVar(3, newInt(2), newInt(3), newInt(4));
set3 = newSetVar(1, set1);
set4 = newSetVar(1, set2);
set5 = vdmSetUnion(set3, set4);
vdmFree(set1);
vdmFree(set2);
vdmFree(set3);
vdmFree(set4);
set1 = vdmSetDinter(set5);
vdmFree(set5);
//Check that intersecting the distributed intersection with each of the original sets results in the distributed intersection itself.
set2 = newSetVar(3, newInt(1), newInt(2), newInt(3));
set3 = newSetVar(3, newInt(2), newInt(3), newInt(4));
set4 = vdmSetInter(set1, set2);
set5 = vdmSetInter(set1, set2);
res = vdmSetEquals(set1, set4);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
res = vdmSetEquals(set1, set5);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(res);
vdmFree(set2);
vdmFree(set3);
vdmFree(set4);
vdmFree(set5);
//A negative check by modifying one of the original sets.
set2 = newSetVar(3, newInt(1), newInt(6), newInt(3));
set3 = newSetVar(3, newInt(2), newInt(3), newInt(4));
set4 = vdmSetInter(set1, set2);
set5 = vdmSetInter(set1, set2);
res = vdmSetEquals(set1, set4);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(res);
res = vdmSetEquals(set1, set5);
EXPECT_EQ(false, res->value.boolVal);
vdmFree(res);
//Wrap up.
vdmFree(set1);
vdmFree(set2);
vdmFree(set3);
vdmFree(set4);
vdmFree(set5);
}
TEST(Expression_SetRandom, setPower)
{
TVP set1;
TVP set2;
TVP res;
set1 = newSetVar(4, newInt(1), newInt(2), newInt(3), newInt(4));
set2 = vdmSetPower(set1);
UNWRAP_COLLECTION(col, set2);
//Set should have the right size.
EXPECT_EQ(true, col->size == pow(2, 4));
EXPECT_EQ(false, col->size == pow(2, 5));
//Power set should contain the subsets. Only testing a few here.
vdmFree(set1);
//Should definitely contain the empty set and the original.
set1 = newSetVar(0, NULL);
res = vdmSetMemberOf(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(set1);
vdmFree(res);
set1 = newSetVar(4, newInt(1), newInt(2), newInt(3), newInt(4));
res = vdmSetMemberOf(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(set1);
vdmFree(res);
//And some others.
set1 = newSetVar(1, newInt(3));
res = vdmSetMemberOf(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(set1);
vdmFree(res);
set1 = newSetVar(2, newInt(2), newInt(3));
res = vdmSetMemberOf(set2, set1);
EXPECT_EQ(true, res->value.boolVal);
vdmFree(set1);
vdmFree(res);
set1 = newSetVar(2, newInt(2), newInt(5));
res = vdmSetMemberOf(set2, set1);
EXPECT_EQ(false, res->value.boolVal);
//Wrap up.
vdmFree(set1);
vdmFree(set2);
vdmFree(res);
}
/*
//A crude way of testing how long it takes to generate a power set.
TEST(Expression_SetRandom, setPowerExperiment)
{
const int numelems1 = 11;
TVP randelems1[numelems1];
TVP set1;
TVP set2;
TVP set3;
TVP res;
//Initialize main set of sets.
set3 = newSetVar(0, NULL);
//Generate the random test value collections.
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
//A set containing one element.
set1 = newSetVar(1, randelems1[i]);
set2 = vdmSetUnion(set3, set1);
vdmFree(set3);
set3 = set2;
vdmFree(set1);
}
//Wrap up.
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
set2 = vdmSetPower(set3);
//Wrap up.
vdmFree(set2);
vdmFree(set3);
}
//A crude way to look for memory leaks using the OS resource monitor.
TEST(Expression_SetRandom, setMemTest)
{
const int numelems1 = 1000;
const int numelems2 = 1000;
TVP randelems1[numelems1];
TVP randelems2[numelems2];
TVP set1;
TVP set2;
TVP interset;
//Generate the random test value collections.
srand(time(0));
for(int numiter = 0; numiter < 5000; numiter++)
{
for(int i = 0; i < numelems1; i++)
{
randelems1[i] = newInt(rand());
}
for(int i = 0; i < numelems2; i++)
{
randelems2[i] = newInt(rand());
}
//Create the random test sets.
set1 = newSetWithValues(numelems1, randelems1);
set2 = newSetWithValues(numelems2, randelems2);
interset = vdmSetInter(set1, set2);
vdmFree(set1);
vdmFree(set2);
vdmFree(interset);
for(int i = 0; i < numelems1; i++)
{
vdmFree(randelems1[i]);
}
for(int i = 0; i < numelems2; i++)
{
vdmFree(randelems2[i]);
}
}
}
*/