/**
* Merge Sort using O(1) temporary storage.
* @see http://e...content-available-to-author-only...a.org/wiki/Merge_sort#Analysis
*
* Author: Erel Segal
* Created: 2010-10-17
*/
#include <vector>
#include <iostream>
#include <stdlib.h>
using namespace std;
/*
FUNCTIONS FOR DEBUGGING
*/
template <class Iterator> ostream& print (ostream& out, Iterator iFrom, Iterator iTo) {
for (; iFrom!=iTo; ++iFrom) out << *iFrom << " ";
return (out << endl);
}
template <class Iterator> bool assertSorted(Iterator iFrom, Iterator iTo) {
for (; iFrom<iTo-1; ++iFrom) {
if (*iFrom > *(iFrom+1)) {
cerr << "array is out of order: " << *iFrom << " > " << *(iFrom+1) << endl;
return false;
}
}
return true;
}
int* randomArray(size_t size) {
int* a = new int[size];
for (size_t i=0; i<size; ++i)
a[i] = rand()%100;
return a;
}
template <class T> void swap ( T& a, T& b ) { T c(a); a=b; b=c; }
size_t gcd(size_t n, size_t m) {return m==0?n:gcd(m,n%m);}
/**
* Rotate the combined range [iFrom1, iTo1)[iFrom2, iTo2) such that the elements [iFrom1,iTo1) will be at the end.
*/
template <class Iterator> void rotateRanges (Iterator iFrom1, Iterator iTo1, Iterator iFrom2, Iterator iTo2) {
size_t size1 = iTo1-iFrom1, size2 = iTo2-iFrom2, totalSize = size1+size2;
size_t gcd12 = gcd(size1,size2);
size_t offset1start, offset1, offset2;
Iterator iter1, iter2;
typename std::iterator_traits<Iterator>::value_type temp; // the O(1) temporary storage
for (offset1start=0; offset1start<gcd12; ++offset1start) {
temp = *(iFrom1+offset1start);
for (offset1=offset1start;;) {
iter1 = (offset1<size1? iFrom1+offset1: iFrom2+(offset1-size1));
offset2 = (offset1+size1)%totalSize;
iter2 = (offset2<size1? iFrom1+offset2: iFrom2+(offset2-size1));
if (offset2==offset1start) break; // completed a cycle
*iter1 = *iter2;
offset1 = offset2;
}
*iter1 = temp;
}
}
/**
* Merge the two sorted ranges using the given temporary storage (O(1) storage).
* PRECONDITION: [iFrom1, iTo1) are in ascending order, [iFrom2, iTo2) are in ascending order
* POSTCONDITION: [iFrom1, iTo1) are in ascending order AND <= [iFrom2, iTo2), who are also in ascending order
*/
template <class Iterator> void mergeRanges (Iterator iFrom1, Iterator iTo1, Iterator iFrom2, Iterator iTo2) {
// HERE: [iFrom1, iTo1) are in ascending order
// HERE: [iFrom2, iTo2) are in ascending order
Iterator i1 = iFrom1;
// HERE: [iFrom1, i1) are in ascending order and < [iFrom2, iTo2) [empty range]
for (;;) {
while (*i1 < *iFrom2 && i1 < iTo1) {
++i1;
}
// HERE: [iFrom1,i1) are in ascending order and < [iFrom2,iTo2)
if (i1 == iTo1) {
// HERE: [iFrom1, iTo1) are in ascending order and < [iFrom2, iTo2)
return; // POSTCONDITION satisfied.
}
// HERE: [i1] >= [iFrom2]
Iterator j2 = iFrom2;
// HERE: [iFrom2,j2) are in ascending order and <= [i1,iTo1) [empty range]
while (*j2 <= *i1 && j2 < iTo2) {
++j2;
}
// HERE: [iFrom2,j2) are in ascending order and <= [i1,iTo1)
if (j2 == iTo2) {
// HERE: [iFrom2,iTo2) <= [i1,iTo1)
rotateRanges(i1, iTo1, iFrom2, iTo2);
// HERE: [i1,iTo1) <= [iFrom2,iTo2) and in ascending order.
// Since [iFrom1,i1) are also in ascending order, it follows that:
// [iFrom1,iTo1) <= [iFrom2,iTo2) and in ascending order.
return; // POSTCONDITION satisfied.
}
// HERE: [j2] > [i1]
Iterator j1 = i1;
// HERE: [iFrom2,j2) <= [i1,j1) < [j2] [empty range]
while (*j1 < *j2 && j1 < iTo1) {
++j1;
}
// HERE: [iFrom2,j2) <= [i1,j1) < [j2]
rotateRanges(i1, j1, iFrom2, j2);
// HERE: [i1,j1) <= [iFrom2,j2) < [j2]
// HERE: [iFrom1,j1) are in ascending order and <= [iFrom2,iTo2)
i1 = j1;
// HERE: [iFrom1,i1) are in ascending order and <= [iFrom2,iTo2)
}
}
/* Sort the given array in the range [iFrom,iTo), using O(1) temporary storage */
template <class Iterator> void merge_sort(Iterator iFrom, Iterator iTo, string prefix="") {
if (iTo <= iFrom+1)
return;
// recursively sort each half seperately:
size_t diff = (iTo-iFrom);
cout << prefix << "merge_sort " << diff << " elements: "; print(cout, iFrom, iTo);
Iterator iMiddle = iFrom+diff/2;
merge_sort(iFrom, iMiddle, prefix+" ");
merge_sort(iMiddle, iTo, prefix+" ");
mergeRanges(iFrom, iMiddle, iMiddle, iTo);
cout << prefix << "sorted " << diff << " elements: "; print(cout, iFrom, iTo);
if (!assertSorted(iFrom, iTo))
exit(1);
}
#include <stdlib.h>
#include <time.h>
int main() {
{
cout << "Demonstrating rotateRanges: " << endl;
int a[] = {1,2, 101,102,103,104};
int b[] = {3,4,5,5,6,7,8,9};
cout << "before rotate: " << endl;
print (cout, a, a+6);
print (cout, b, b+8);
rotateRanges(a+2, a+6, b+0, b+8);
cout << "after rotate of a[2,6) with b[0,8) : " << endl;
print (cout, a, a+6);
print (cout, b, b+8);
cout << endl;
int c[] = {1,2, 101,102,103,104};
int d[] = {3,4};
cout << "before rotate: " << endl;
print (cout, c, c+6);
print (cout, d, d+2);
rotateRanges(c+2, c+6, d+0, d+2);
cout << "after rotate of c[2,6) with d[0,2): " << endl;
print (cout, c, c+6);
print (cout, d, d+2);
cout << endl << endl;
}
{
cout << "Demonstrating mergeRanges: " << endl;
int a[] = {3,8};
int b[] = {2,4,9};
cout << "before merge: " << endl;
print (cout, a, a+2);
print (cout, b, b+3);
mergeRanges(a, a+2, b, b+3);
cout << "after merge: " << endl;
print (cout, a, a+2);
print (cout, b, b+3);
cout << endl;
}
{
int c[] = {15,77,83,86,93};
int d[] = {21,35,86,86,92};
cout << "before merge: " << endl;
print (cout, c, c+5);
print (cout, d, d+5);
mergeRanges(c, c+5, d, d+5);
cout << "after merge: " << endl;
print (cout, c, c+5);
print (cout, d, d+5);
cout << endl << endl;
}
{
int c[] = {6,7,8,9,10};
int d[] = {1,2,3,4,5};
cout << "before merge: " << endl;
print (cout, c, c+5);
print (cout, d, d+5);
mergeRanges(c, c+5, d, d+5);
cout << "after merge: " << endl;
print (cout, c, c+5);
print (cout, d, d+5);
cout << endl << endl;
}
cout << "Demonstrating merge_sort: " << endl;
size_t size=30;
int* numbers = randomArray(size);
merge_sort(numbers, numbers+size);
assertSorted(numbers, numbers+size);
}
/**
* Merge Sort using O(1) temporary storage.
* @see http://e...content-available-to-author-only...a.org/wiki/Merge_sort#Analysis
*
* Author: Erel Segal
* Created: 2010-10-17
*/

#include <vector>
#include <iostream>
#include <stdlib.h>
using namespace std;


/*
          FUNCTIONS FOR DEBUGGING 
*/

template <class Iterator> ostream& print (ostream& out, Iterator iFrom, Iterator iTo) {
	for (; iFrom!=iTo; ++iFrom) out << *iFrom << " ";
	return (out << endl);
}

template <class Iterator> bool assertSorted(Iterator iFrom, Iterator iTo) {
	for (; iFrom<iTo-1; ++iFrom) {
		if (*iFrom > *(iFrom+1)) {
			cerr << "array is out of order: " << *iFrom << " > " << *(iFrom+1) << endl;
			return false;
		}
	}
	return true;
}
 
int* randomArray(size_t size) {
	int* a = new int[size];
	for (size_t i=0; i<size; ++i)
		a[i] = rand()%100;
	return a;
}


template <class T> void swap ( T& a, T& b ) { T c(a); a=b; b=c; }

size_t gcd(size_t n, size_t m) {return m==0?n:gcd(m,n%m);}



/**
 * Rotate the combined range [iFrom1, iTo1)[iFrom2, iTo2) such that the elements [iFrom1,iTo1) will be at the end.
 */ 
template <class Iterator> void rotateRanges (Iterator iFrom1, Iterator iTo1, Iterator iFrom2, Iterator iTo2) {
	size_t size1 = iTo1-iFrom1, size2 = iTo2-iFrom2, totalSize = size1+size2;
	size_t gcd12 = gcd(size1,size2);
	size_t offset1start, offset1, offset2;
	Iterator iter1, iter2;
	typename std::iterator_traits<Iterator>::value_type temp; // the O(1) temporary storage
	for (offset1start=0; offset1start<gcd12; ++offset1start) {
		temp = *(iFrom1+offset1start);
		for (offset1=offset1start;;) {
			iter1 = (offset1<size1? iFrom1+offset1: iFrom2+(offset1-size1));
			offset2 = (offset1+size1)%totalSize;
			iter2 = (offset2<size1? iFrom1+offset2: iFrom2+(offset2-size1));
			if (offset2==offset1start) break;  // completed a cycle
			*iter1 = *iter2;
			offset1 = offset2;
		}
		*iter1 = temp;
	}
}

/**
 * Merge the two sorted ranges using the given temporary storage (O(1) storage).
 * PRECONDITION:  [iFrom1, iTo1) are in ascending order, [iFrom2, iTo2) are in ascending order
 * POSTCONDITION: [iFrom1, iTo1) are in ascending order AND <= [iFrom2, iTo2), who are also in ascending order
 */ 
template <class Iterator> void mergeRanges (Iterator iFrom1, Iterator iTo1, Iterator iFrom2, Iterator iTo2) {
// HERE: [iFrom1, iTo1) are in ascending order
// HERE: [iFrom2, iTo2) are in ascending order

	Iterator i1 = iFrom1;
	// HERE: [iFrom1, i1) are in ascending order and < [iFrom2, iTo2) [empty range]

	for (;;) {
		while (*i1 < *iFrom2 && i1 < iTo1) {
			++i1;
		}
		// HERE: [iFrom1,i1) are in ascending order and < [iFrom2,iTo2)

		if (i1 == iTo1) {
			// HERE: [iFrom1, iTo1) are in ascending order and < [iFrom2, iTo2)
			return;  // POSTCONDITION satisfied.
		}

		// HERE: [i1] >= [iFrom2]

		Iterator j2 = iFrom2;
		// HERE: [iFrom2,j2) are in ascending order and <= [i1,iTo1) [empty range]
		while (*j2 <= *i1 && j2 < iTo2) {
			++j2;
		}
		// HERE: [iFrom2,j2) are in ascending order and <= [i1,iTo1)

		if (j2 == iTo2) {
		// HERE: [iFrom2,iTo2) <= [i1,iTo1)
			rotateRanges(i1, iTo1, iFrom2, iTo2);
			// HERE: [i1,iTo1) <= [iFrom2,iTo2) and in ascending order.
			// Since [iFrom1,i1) are also in ascending order, it follows that:
			//    [iFrom1,iTo1) <= [iFrom2,iTo2) and in ascending order.
			return;  // POSTCONDITION satisfied.
		}

		// HERE: [j2] > [i1]

		Iterator j1 = i1;
		// HERE: [iFrom2,j2) <= [i1,j1) < [j2]   [empty range]

		while (*j1 < *j2 && j1 < iTo1) {
			++j1;
		}
		// HERE: [iFrom2,j2) <= [i1,j1) < [j2]

		rotateRanges(i1, j1, iFrom2, j2);
		// HERE: [i1,j1) <= [iFrom2,j2) < [j2]
		// HERE: [iFrom1,j1) are in ascending order and <= [iFrom2,iTo2)

		i1 = j1;
		// HERE: [iFrom1,i1) are in ascending order and <= [iFrom2,iTo2)
	}
}


/* Sort the given array in the range [iFrom,iTo), using O(1) temporary storage  */
template <class Iterator> void merge_sort(Iterator iFrom, Iterator iTo, string prefix="") {
	if (iTo <= iFrom+1)
		return;

	// recursively sort each half seperately:
	size_t diff = (iTo-iFrom);
	cout << prefix << "merge_sort " << diff << " elements: "; print(cout, iFrom, iTo);
	Iterator iMiddle = iFrom+diff/2;

	merge_sort(iFrom, iMiddle, prefix+" ");
	merge_sort(iMiddle, iTo, prefix+" ");

	mergeRanges(iFrom, iMiddle, iMiddle, iTo);

	cout << prefix << "sorted " << diff << " elements: "; print(cout, iFrom, iTo);
	if (!assertSorted(iFrom, iTo))
		exit(1);
}


#include <stdlib.h>
#include <time.h>
int main() {
	{
	cout << "Demonstrating rotateRanges: " << endl;
	int a[] = {1,2, 101,102,103,104};
	int b[] = {3,4,5,5,6,7,8,9};
	cout << "before rotate: " << endl;
	print (cout, a, a+6); 
	print (cout, b, b+8); 
	rotateRanges(a+2, a+6, b+0, b+8);
	cout << "after rotate of a[2,6) with b[0,8) : " << endl;
	print (cout, a, a+6); 
	print (cout, b, b+8); 
	cout << endl;

	int c[] = {1,2, 101,102,103,104};
	int d[] = {3,4};
	cout << "before rotate: " << endl;
	print (cout, c, c+6); 
	print (cout, d, d+2); 
	rotateRanges(c+2, c+6, d+0, d+2);
	cout << "after rotate of c[2,6) with d[0,2): " << endl;
	print (cout, c, c+6); 
	print (cout, d, d+2);   
	cout << endl << endl;
	}
	
	{
	cout << "Demonstrating mergeRanges: " << endl;
	int a[] = {3,8};
	int b[] = {2,4,9};
	cout << "before merge: " << endl;
	print (cout, a, a+2); 
	print (cout, b, b+3); 
	mergeRanges(a, a+2, b, b+3);
	cout << "after merge: " << endl;
	print (cout, a, a+2); 
	print (cout, b, b+3); 
	cout << endl;
	}
	{
	int c[] = {15,77,83,86,93};
	int d[] = {21,35,86,86,92};
	cout << "before merge: " << endl;
	print (cout, c, c+5); 
	print (cout, d, d+5); 
	mergeRanges(c, c+5, d, d+5);
	cout << "after merge: " << endl;
	print (cout, c, c+5); 
	print (cout, d, d+5); 
	cout << endl << endl;
	}
	{
	int c[] = {6,7,8,9,10};
	int d[] = {1,2,3,4,5};
	cout << "before merge: " << endl;
	print (cout, c, c+5); 
	print (cout, d, d+5); 
	mergeRanges(c, c+5, d, d+5);
	cout << "after merge: " << endl;
	print (cout, c, c+5); 
	print (cout, d, d+5); 
	cout << endl << endl;
	}

	cout << "Demonstrating merge_sort: " << endl;
	size_t size=30;
	int* numbers = randomArray(size);
	merge_sort(numbers, numbers+size);
	assertSorted(numbers, numbers+size);
}
