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//
// MPWIntArray.m
// MPWFoundation
//
// Created by Marcel Weiher on Sat Dec 27 2003.
/*
Copyright (c) 2003-2017 by Marcel Weiher. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in
the documentation and/or other materials provided with the distribution.
Neither the name Marcel Weiher nor the names of contributors may
be used to endorse or promote products derived from this software
without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
THE POSSIBILITY OF SUCH DAMAGE.
*/
//
#import "MPWIntArray.h"
#import <Foundation/Foundation.h>
#import "DebugMacros.h"
#if !TARGET_OS_WATCH
#import <Accelerate/Accelerate.h>
#endif
@implementation MPWIntArray
+array
{
return [[[self alloc] init] autorelease];
}
-initWithCapacity:(unsigned long)newCapacity
{
if ( self = [super init] ) {
capacity=newCapacity;
count=0;
data=malloc( (capacity+3) * sizeof(int) );
}
return self;
}
-init
{
return [self initWithCapacity:10];
}
-(int)integerAtIndex:(unsigned)index
{
if ( index < count ) {
return data[index];
} else {
[NSException raise:@"MPWRangeException" format:@"%@ range exception: %d beyond count: %ld (capacity: %ld)",[self class],index,count,capacity];
return 0;
}
}
-(void)_growTo:(unsigned long)newCapacity
{
capacity=capacity*2+2;
capacity=MAX( capacity, newCapacity );
if ( data ) {
data=realloc( data, (capacity+3)*sizeof(int) );
} else {
data=calloc( (capacity+3), sizeof(int) );
}
}
-(void)addIntegers:(int*)intArray count:(unsigned long)numIntsToAdd
{
unsigned long newCount=count+numIntsToAdd;
if ( newCount >= capacity ) {
[self _growTo:newCount];
}
memcpy( data+count, intArray, numIntsToAdd * sizeof(int));
count=newCount;
}
-(instancetype)copy
{
MPWIntArray *copy=[[[self class] alloc] initWithCapacity:capacity];
[copy addIntegers:data count:count];
return copy;
}
-(void)addInteger:(int)anInt
{
unsigned long newCount=count+1;
if ( newCount >= capacity ) {
[self _growTo:newCount];
}
data[count]=anInt;
count=newCount;
}
-(void)addObject:anObject
{
[self addInteger:[anObject intValue]];
}
-(void)removeLastObject
{
if ( count) {
count--;
}
}
-(void)replaceIntegerAtIndex:(unsigned long)anIndex withInteger:(int)anInt
{
if ( anIndex < count ) {
data[anIndex]=anInt;
} else {
[NSException raise:@"MPWRangeException" format:@"%@ range exception: %ld beyond count: %ld (capacity: %ld)",[self class],anIndex,count,capacity];
}
}
-(void)replaceObjectAtIndex:(unsigned)anIndex withObject:anObject
{
[self replaceIntegerAtIndex:anIndex withInteger:[anObject intValue]];
}
-(void)dealloc
{
if ( data ) {
free(data);
}
[super dealloc];
}
-(NSUInteger)count
{
return count;
}
-(void)reset
{
count=0;
}
-(int*)integers
{
return data;
}
-(int)lastInteger
{
return data[count-1];
}
-description
{
if ( [self count] ) {
NSMutableString *description=[NSMutableString stringWithFormat:@"( %d",[self integerAtIndex:0]];
for (int i=1;i<[self count];i++) {
[description appendFormat:@", %d",[self integerAtIndex:i]];
}
[description appendString:@")"];
return description;
} else {
return @"( )";
}
}
static void doSort(int a[], int left, int right);
static void dualPivotQuicksort(int a[], int left, int right) {
// Compute indices of five evenly spaced elements
int sixth = (right - left + 1) / 6;
int e1 = left + sixth;
int e5 = right - sixth;
int e3 = (left + right) / 2; // The midpoint
int e4 = e3 + sixth;
int e2 = e3 - sixth;
// Sort these elements using a 5-element sorting network
int ae1 = a[e1], ae2 = a[e2], ae3 = a[e3], ae4 = a[e4], ae5 = a[e5];
if (ae1 > ae2) { int t = ae1; ae1 = ae2; ae2 = t; }
if (ae4 > ae5) { int t = ae4; ae4 = ae5; ae5 = t; }
if (ae1 > ae3) { int t = ae1; ae1 = ae3; ae3 = t; }
if (ae2 > ae3) { int t = ae2; ae2 = ae3; ae3 = t; }
if (ae1 > ae4) { int t = ae1; ae1 = ae4; ae4 = t; }
if (ae3 > ae4) { int t = ae3; ae3 = ae4; ae4 = t; }
if (ae2 > ae5) { int t = ae2; ae2 = ae5; ae5 = t; }
if (ae2 > ae3) { int t = ae2; ae2 = ae3; ae3 = t; }
if (ae4 > ae5) { int t = ae4; ae4 = ae5; ae5 = t; }
a[e1] = ae1; a[e3] = ae3; a[e5] = ae5;
/*
* Use the second and fourth of the five sorted elements as pivots.
* These values are inexpensive approximations of the first and
* second terciles of the array. Note that pivot1 <= pivot2.
*
* The pivots are stored in local variables, and the first and
* the last of the elements to be sorted are moved to the locations
* formerly occupied by the pivots. When partitioning is complete,
* the pivots are swapped back into their final positions, and
* excluded from subsequent sorting.
*/
int pivot1 = ae2; a[e2] = a[left];
int pivot2 = ae4; a[e4] = a[right];
// Pointers
int less = left + 1; // The index of first element of center part
int great = right - 1; // The index before first element of right part
BOOL pivotsDiffer = (pivot1 != pivot2);
if (pivotsDiffer) {
/*
* Partitioning:
*
* left part center part right part
* +------------------------------------------------------------+
* | < pivot1 | pivot1 <= && <= pivot2 | ? | > pivot2 |
* +------------------------------------------------------------+
* ^ ^ ^
* | | |
* less k great
*
* Invariants:
*
* all in (left, less) < pivot1
* pivot1 <= all in [less, k) <= pivot2
* all in (great, right) > pivot2
*
* Pointer k is the first index of ?-part
*/
outer:
for (int k = less; k <= great; k++) {
int ak = a[k];
if (ak < pivot1) { // Move a[k] to left part
if (k != less) {
a[k] = a[less];
a[less] = ak;
}
less++;
} else if (ak > pivot2) { // Move a[k] to right part
while (a[great] > pivot2) {
if (great-- == k) {
goto outer;
}
}
if (a[great] < pivot1) {
a[k] = a[less];
a[less++] = a[great];
a[great--] = ak;
} else { // pivot1 <= a[great] <= pivot2
a[k] = a[great];
a[great--] = ak;
}
}
}
} else { // Pivots are equal
/*
* Partition degenerates to the traditional 3-way,
* or "Dutch National Flag", partition:
*
* left part center part right part
* +----------------------------------------------+
* | < pivot | == pivot | ? | > pivot |
* +----------------------------------------------+
* ^ ^ ^
* | | |
* less k great
*
* Invariants:
*
* all in (left, less) < pivot
* all in [less, k) == pivot
* all in (great, right) > pivot
*
* Pointer k is the first index of ?-part
*/
for (int k = less; k <= great; k++) {
int ak = a[k];
if (ak == pivot1) {
continue;
}
if (ak < pivot1) { // Move a[k] to left part
if (k != less) {
a[k] = a[less];
a[less] = ak;
}
less++;
} else { // (a[k] > pivot1) - Move a[k] to right part
/*
* We know that pivot1 == a[e3] == pivot2. Thus, we know
* that great will still be >= k when the following loop
* terminates, even though we don't test for it explicitly.
* In other words, a[e3] acts as a sentinel for great.
*/
while (a[great] > pivot1) {
great--;
}
if (a[great] < pivot1) {
a[k] = a[less];
a[less++] = a[great];
a[great--] = ak;
} else { // a[great] == pivot1
a[k] = pivot1;
a[great--] = ak;
}
}
}
}
// Swap pivots into their final positions
a[left] = a[less - 1]; a[less - 1] = pivot1;
a[right] = a[great + 1]; a[great + 1] = pivot2;
// Sort left and right parts recursively, excluding known pivot values
doSort(a, left, less - 2);
doSort(a, great + 2, right);
/*
* If pivot1 == pivot2, all elements from center
* part are equal and, therefore, already sorted
*/
if (!pivotsDiffer) {
return;
}
/*
* If center part is too large (comprises > 2/3 of the array),
* swap internal pivot values to ends
*/
if (less < e1 && great > e5) {
while (a[less] == pivot1) {
less++;
}
while (a[great] == pivot2) {
great--;
}
/*
* Partitioning:
*
* left part center part right part
* +----------------------------------------------------------+
* | == pivot1 | pivot1 < && < pivot2 | ? | == pivot2 |
* +----------------------------------------------------------+
* ^ ^ ^
* | | |
* less k great
*
* Invariants:
*
* all in (*, less) == pivot1
* pivot1 < all in [less, k) < pivot2
* all in (great, *) == pivot2
*
* Pointer k is the first index of ?-part
*/
outer1:
for (int k = less; k <= great; k++) {
int ak = a[k];
if (ak == pivot2) { // Move a[k] to right part
while (a[great] == pivot2) {
if (great-- == k) {
goto outer1;
}
}
if (a[great] == pivot1) {
a[k] = a[less];
a[less++] = pivot1;
} else { // pivot1 < a[great] < pivot2
a[k] = a[great];
}
a[great--] = pivot2;
} else if (ak == pivot1) { // Move a[k] to left part
a[k] = a[less];
a[less++] = pivot1;
}
}
}
// Sort center part recursively, excluding known pivot values
doSort(a, less, great);
}
#define INSERTION_SORT_THRESHOLD 10
static void doSort(int a[], int left, int right) {
// Use insertion sort on tiny arrays
if (right - left + 1 < INSERTION_SORT_THRESHOLD) {
for (int i = left + 1; i <= right; i++) {
int ai = a[i];
int j;
for (j = i - 1; j >= left && ai < a[j]; j--) {
a[j + 1] = a[j];
}
a[j + 1] = ai;
}
} else { // Use Dual-Pivot Quicksort on large arrays
dualPivotQuicksort(a, left, right);
}
}
-(void)dualPivotQuicksort
{
doSort(data, 0, (int)(count -1));
}
-(void)systemQuicksortBlocks
{
qsort_b(data, count, sizeof(int), ^int(const void *va , const void *vb ) {
const int *a=va,*b=vb;
return *a - *b;
});
}
static int compareIntegerPointers(const void *va , const void *vb )
{
const int *a=va,*b=vb;
return *a - *b;
}
-(void)systemQuicksortFunction
{
qsort(data, count, sizeof(int), compareIntegerPointers);
}
-(void)sort
{
[self systemQuicksortBlocks];
}
-(MPWIntArray *)sorted
{
MPWIntArray *sorted=[[self copy] autorelease];
[sorted sort];
return sorted;
}
@end
@implementation MPWIntArray(testing)
+(void)testArrayAccess
{
id array=[self array];
INTEXPECT( [array count], 0 ,@"count of empty array");
[array addInteger:42];
INTEXPECT( [array count],1 ,@"count after adding 1 element");
INTEXPECT( [array integerAtIndex:0],42 ,@"value of element I put");
[array addObject:@"50"];
INTEXPECT( [array count],2 ,@"count after adding 2nd element");
INTEXPECT( [array integerAtIndex:1],50 ,@"value of 2nd element I put");
}
+testSelectors
{
return [NSArray arrayWithObjects:
@"testArrayAccess",
nil];
}
@end