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small_sorts.h
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#define INLINE_DEF static __inline
#define STABLE_PRESORT SORT_MAKE_STR(stable_presort)
#define MERGE_SORT_SMALL SORT_MAKE_STR(merge_sort_small)
#define MERGE_SORT_SMALL_BALANCED SORT_MAKE_STR(merge_sort_small_balanced)
/*********************\
* Merging functions *
\*********************/
// improved standard merge arrays
// merges two adjacent parts of the array
// params MUST be: 0 < sizeLeft < size
#define MERGE_ARRAY_STD SORT_MAKE_STR(merge_array_std)
INLINE_DEF void MERGE_ARRAY_STD(SORT_TYPE *dest, SORT_TYPE *source, size_t sizeLeft, size_t size) {
size_t i = 0;
size_t j = sizeLeft;
size_t out = 0;
SORT_TYPE leftItem = source[i];
SORT_TYPE rightItem = source[j];
while (1) {
if (SORT_CMP(leftItem, rightItem) > 0) {
dest[out++] = rightItem;
++j;
if (j >= size)
break;
rightItem = source[j];
} else {
dest[out++] = leftItem;
++i;
if (i >= sizeLeft)
break;
leftItem = source[i];
}
}
while (i < sizeLeft) {
dest[out++] = source[i++];
}
while (j < size) {
dest[out++] = source[j++];
}
}
#define MERGE_CHUNK_INPLACE SORT_MAKE_STR(merge_chunk_inplace)
// merges two adjacent chunks into one
// i - left start
// j - right start
// end - start of the next chunk that should not be processed here
// O(N*N) item moves
INLINE_DEF void MERGE_CHUNK_INPLACE(SORT_TYPE *data, size_t i, size_t j, size_t end) {
while ((i < j) && (j < end)) {
SORT_TYPE item = data[j];
if (SORT_CMP(data[i], item) > 0) {
for (int k = j; k > i; k--) {
data[k] = data[k - 1];
}
data[i] = item;
++j;
}
++i;
}
}
// merges (1 item) + (1 item) - > 2
#define MERGE_ITEMS_1_1 SORT_MAKE_STR(merge_items_1_1)
INLINE_DEF void MERGE_ITEMS_1_1(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE right_0) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
dest[1] = left_0;
} else {
dest[0] = left_0;
dest[1] = right_0;
}
}
// merges (1 item) + (2 items) - > 3
#define MERGE_ITEMS_1_2 SORT_MAKE_STR(merge_items_1_2)
INLINE_DEF void MERGE_ITEMS_1_2(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE right_0, SORT_TYPE right_1) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_1_1(&dest[1], left_0, right_1);
} else {
dest[0] = left_0;
dest[1] = right_0;
dest[2] = right_1;
}
}
// merges (2 items) + (1 item) - > 3
#define MERGE_ITEMS_2_1 SORT_MAKE_STR(merge_items_2_1)
INLINE_DEF void MERGE_ITEMS_2_1(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE left_1, SORT_TYPE right_0) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
dest[1] = left_0;
dest[2] = left_1;
} else {
dest[0] = left_0;
MERGE_ITEMS_1_1(&dest[1], left_1, right_0);
}
}
// merges (1 item) + (3 items) - > 4
#define MERGE_ITEMS_1_3 SORT_MAKE_STR(merge_items_1_3)
INLINE_DEF void MERGE_ITEMS_1_3(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE right_0, SORT_TYPE right_1, SORT_TYPE right_2) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_1_2(&dest[1], left_0, right_1, right_2);
} else {
dest[0] = left_0;
dest[1] = right_0;
dest[2] = right_1;
dest[3] = right_2;
}
}
// merges (2 items) + (2 items) - > 4
#define MERGE_ITEMS_2_2 SORT_MAKE_STR(merge_items_2_2)
INLINE_DEF void MERGE_ITEMS_2_2(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE left_1, SORT_TYPE right_0, SORT_TYPE right_1) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_2_1(&dest[1], left_0, left_1, right_1);
} else {
dest[0] = left_0;
MERGE_ITEMS_1_2(&dest[1], left_1, right_0, right_1);
}
}
// merges (3 items) + (1 item) - > 4
#define MERGE_ITEMS_3_1 SORT_MAKE_STR(merge_items_3_1)
INLINE_DEF void MERGE_ITEMS_3_1(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE left_1, SORT_TYPE left_2, SORT_TYPE right_0) {
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
dest[1] = left_0;
dest[2] = left_1;
dest[3] = left_2;
} else {
dest[0] = left_0;
MERGE_ITEMS_2_1(&dest[1], left_1, left_2, right_0);
}
}
// merges 4 + (1 item) -> 5
#define MERGE_4_ITEM SORT_MAKE_STR(merge_4_item)
INLINE_DEF void MERGE_4_ITEM(SORT_TYPE *dest, SORT_TYPE *left, SORT_TYPE right_0) {
SORT_TYPE left_0 = left[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
dest[1] = left_0;
dest[2] = left[1];
dest[3] = left[2];
dest[4] = left[3];
} else {
dest[0] = left_0;
MERGE_ITEMS_3_1(&dest[1], left[1], left[2], left[3], right_0);
}
}
// merges (1 item) + [4] -> [5]
#define MERGE_ITEM_4 SORT_MAKE_STR(merge_item_4)
INLINE_DEF void MERGE_ITEM_4(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE *right) {
SORT_TYPE right_0 = right[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_1_3(&dest[1], left_0, right[1], right[2], right[3]);
} else {
dest[0] = left_0;
dest[1] = right_0;
dest[2] = right[1];
dest[3] = right[2];
dest[4] = right[3];
}
}
// merges [3] + (2 items) -> [5]
#define MERGE_3_2ITEMS SORT_MAKE_STR(merge_3_2items)
INLINE_DEF void MERGE_3_2ITEMS(SORT_TYPE *dest, SORT_TYPE *left, SORT_TYPE right_0, SORT_TYPE right_1) {
SORT_TYPE left_0 = left[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_3_1(&dest[1], left_0, left[1], left[2], right_1);
} else {
dest[0] = left_0;
MERGE_ITEMS_2_2(&dest[1], left[1], left[2], right_0, right_1);
}
}
// merges [4] + (2 items) -> [6]
#define MERGE_4_2ITEMS SORT_MAKE_STR(merge_4_2items)
INLINE_DEF void MERGE_4_2ITEMS(SORT_TYPE *dest, SORT_TYPE *left, SORT_TYPE right_0, SORT_TYPE right_1) {
SORT_TYPE left_0 = left[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_4_ITEM(&dest[1], left, right_1);
} else {
dest[0] = left_0;
MERGE_3_2ITEMS(&dest[1], &left[1], right_0, right_1);
}
}
// merges (2 items) + [3] -> [5]
#define MERGE_2ITEMS_3 SORT_MAKE_STR(merge_2items_3)
INLINE_DEF void MERGE_2ITEMS_3(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE left_1, SORT_TYPE *right) {
SORT_TYPE right_0 = right[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_ITEMS_2_2(&dest[1], left_0, left_1, right[1], right[2]);
} else {
dest[0] = left_0;
MERGE_ITEMS_1_3(&dest[1], left_1, right_0, right[1], right[2]);
}
}
// merges (2 items) + [4] -> [6]
#define MERGE_2ITEMS_4 SORT_MAKE_STR(merge_2items_4)
INLINE_DEF void MERGE_2ITEMS_4(SORT_TYPE *dest, SORT_TYPE left_0, SORT_TYPE left_1, SORT_TYPE *right) {
SORT_TYPE right_0 = right[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_2ITEMS_3(&dest[1], left_0, left_1, &right[1]);
} else {
dest[0] = left_0;
MERGE_ITEM_4(&dest[1], left_1, right);
}
}
// merges not adjacent [3] + [3]-> [6]
#define MERGE_NA_3_3 SORT_MAKE_STR(merge_na_3_3)
INLINE_DEF void MERGE_NA_3_3(SORT_TYPE *dest, SORT_TYPE *left, SORT_TYPE *right) {
SORT_TYPE left_0 = left[0];
SORT_TYPE right_0 = right[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_3_2ITEMS(&dest[1], left, right[1], right[2]);
} else {
dest[0] = left_0;
MERGE_2ITEMS_3(&dest[1], left[1], left[2], right);
}
}
// merges not adjacent [4] + [3]-> [7]
#define MERGE_NA_4_3 SORT_MAKE_STR(merge_na_4_3)
INLINE_DEF void MERGE_NA_4_3(SORT_TYPE *dest, SORT_TYPE *left, SORT_TYPE *right) {
SORT_TYPE left_0 = left[0];
SORT_TYPE right_0 = right[0];
if (SORT_CMP(left_0, right_0) > 0) {
dest[0] = right_0;
MERGE_4_2ITEMS(&dest[1], left, right[1], right[2]);
} else {
dest[0] = left_0;
MERGE_NA_3_3(&dest[1], &left[1], right);
}
}
// merges adjacent 3 + 3 -> 6
#define MERGE_3_3 SORT_MAKE_STR(merge_3_3)
INLINE_DEF void MERGE_3_3(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_3 = source[3];
if (SORT_CMP(item_0, item_3) > 0) {
dest[0] = item_3;
MERGE_3_2ITEMS(&dest[1], source, source[4], source[5]);
} else {
dest[0] = item_0;
MERGE_2ITEMS_3(&dest[1], source[1], source[2], &source[3]);
}
}
// merges adjacent [3] + [4] -> [7]
#define MERGE_3_4 SORT_MAKE_STR(merge_3_4)
INLINE_DEF void MERGE_3_4(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_3 = source[3];
if (SORT_CMP(item_0, item_3) > 0) {
dest[0] = item_3;
MERGE_NA_3_3(&dest[1], source, &source[4]);
} else {
dest[0] = item_0;
MERGE_2ITEMS_4(&dest[1], source[1], source[2], &source[3]);
}
}
// merges adjacent 4 + 3 -> 7
#define MERGE_4_3 SORT_MAKE_STR(merge_4_3)
INLINE_DEF void MERGE_4_3(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_4 = source[4];
if (SORT_CMP(item_0, item_4) > 0) {
dest[0] = item_4;
MERGE_4_2ITEMS(&dest[1], source, source[5], source[6]);
} else {
dest[0] = item_0;
MERGE_3_3(&dest[1], &source[1]);
}
}
// merges adjacent [4] + [4] -> [8]
#define MERGE_4_4 SORT_MAKE_STR(merge_4_4)
INLINE_DEF void MERGE_4_4(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_4 = source[4];
if (SORT_CMP(item_0, item_4) > 0) {
dest[0] = item_4;
MERGE_NA_4_3(&dest[1], source, &source[5]);
} else {
dest[0] = item_0;
MERGE_3_4(&dest[1], &source[1]);
}
}
// sorted size is 0 before call and 1 after
// data[0] has no data before call
#define INSERT_INTO_SORTED_1 SORT_MAKE_STR(insert_into_sorted_1)
INLINE_DEF void INSERT_INTO_SORTED_1(SORT_TYPE *data, SORT_TYPE newItem) {
data[0] = newItem;
}
// sorted size is 1 before call and 2 after
// data[1] has no data before call
#define INSERT_INTO_SORTED_2 SORT_MAKE_STR(insert_into_sorted_2)
INLINE_DEF void INSERT_INTO_SORTED_2(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_0 = data[0];
if (SORT_CMP(item_0, newItem) > 0) {
data[1] = item_0;
data[0] = newItem; // INSERT_INTO_SORTED_1(data, newItem);
} else {
data[1] = newItem; // INSERT_INTO_SORTED_1(&data[1], newItem);
}
}
// sorted size is 2 before call and 3 after
// data[2] has no data before call
#define INSERT_INTO_SORTED_3 SORT_MAKE_STR(insert_into_sorted_3)
INLINE_DEF void INSERT_INTO_SORTED_3(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_1 = data[1];
if (SORT_CMP(item_1, newItem) > 0) {
data[2] = item_1;
INSERT_INTO_SORTED_2(data, newItem);
} else {
data[2] = newItem; // INSERT_INTO_SORTED_1(&data[2], newItem);
}
}
// sorted size is 3 before call and 4 after
// data[3] has no data before call
#define INSERT_INTO_SORTED_4 SORT_MAKE_STR(insert_into_sorted_4)
INLINE_DEF void INSERT_INTO_SORTED_4(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_1 = data[1];
if (SORT_CMP(item_1, newItem) > 0) {
data[3] = data[2];
data[2] = item_1;
INSERT_INTO_SORTED_2(data, newItem);
} else {
INSERT_INTO_SORTED_2(&data[2], newItem);
}
}
// sorted size is 4 before call and 5 after
// data[4] has no data before call
#define INSERT_INTO_SORTED_5 SORT_MAKE_STR(insert_into_sorted_5)
INLINE_DEF void INSERT_INTO_SORTED_5(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_2 = data[2];
if (SORT_CMP(item_2, newItem) > 0) {
data[4] = data[3];
data[3] = item_2;
INSERT_INTO_SORTED_3(data, newItem);
} else {
INSERT_INTO_SORTED_2(&data[3], newItem);
}
}
// sorted size is 5 before call and 6 after
// data[5] has no data before call
#define INSERT_INTO_SORTED_6 SORT_MAKE_STR(insert_into_sorted_6)
INLINE_DEF void INSERT_INTO_SORTED_6(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_2 = data[2];
if (SORT_CMP(item_2, newItem) > 0) {
data[5] = data[4];
data[4] = data[3];
data[3] = item_2;
INSERT_INTO_SORTED_3(data, newItem);
} else {
INSERT_INTO_SORTED_3(&data[3], newItem);
}
}
// sorted size is 6 before call and 7 after
// data[6] has no data before call
#define INSERT_INTO_SORTED_7 SORT_MAKE_STR(insert_into_sorted_7)
INLINE_DEF void INSERT_INTO_SORTED_7(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_3 = data[3];
if (SORT_CMP(item_3, newItem) > 0) {
data[6] = data[5];
data[5] = data[4];
data[4] = item_3;
INSERT_INTO_SORTED_4(data, newItem);
} else {
INSERT_INTO_SORTED_3(&data[4], newItem);
}
}
// sorted size is 7 before call and 8 after
// data[7] has no data before call
#define INSERT_INTO_SORTED_8 SORT_MAKE_STR(insert_into_sorted_8)
INLINE_DEF void INSERT_INTO_SORTED_8(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_3 = data[3];
if (SORT_CMP(item_3, newItem) > 0) {
data[7] = data[6];
data[6] = data[5];
data[5] = data[4];
data[4] = item_3;
INSERT_INTO_SORTED_4(data, newItem);
} else {
INSERT_INTO_SORTED_4(&data[4], newItem);
}
}
// sorted size is 8 before call and 9 after
// data[8] has no data before call
#define INSERT_INTO_SORTED_9 SORT_MAKE_STR(insert_into_sorted_9)
INLINE_DEF void INSERT_INTO_SORTED_9(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_4 = data[4];
if (SORT_CMP(item_4, newItem) > 0) {
data[8] = data[7];
data[7] = data[6];
data[6] = data[5];
data[5] = item_4;
INSERT_INTO_SORTED_5(data, newItem);
} else {
INSERT_INTO_SORTED_4(&data[5], newItem);
}
}
// sorted size is 9 before call and 10 after
// data[9] has no data before call
#define INSERT_INTO_SORTED_10 SORT_MAKE_STR(insert_into_sorted_10)
INLINE_DEF void INSERT_INTO_SORTED_10(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_4 = data[4];
if (SORT_CMP(item_4, newItem) > 0) {
data[9] = data[8];
data[8] = data[7];
data[7] = data[6];
data[6] = data[5];
data[5] = item_4;
INSERT_INTO_SORTED_5(data, newItem);
} else {
INSERT_INTO_SORTED_5(&data[5], newItem);
}
}
// sorted size is 10 before call and 11 after
// data[10] has no data before call
#define INSERT_INTO_SORTED_11 SORT_MAKE_STR(insert_into_sorted_11)
INLINE_DEF void INSERT_INTO_SORTED_11(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_5 = data[5];
if (SORT_CMP(item_5, newItem) > 0) {
data[10] = data[9];
data[9] = data[8];
data[8] = data[7];
data[7] = data[6];
data[6] = item_5;
INSERT_INTO_SORTED_6(data, newItem);
} else {
INSERT_INTO_SORTED_5(&data[6], newItem);
}
}
// sorted size is 11 before call and 12 after
// data[11] has no data before call
#define INSERT_INTO_SORTED_12 SORT_MAKE_STR(insert_into_sorted_12)
INLINE_DEF void INSERT_INTO_SORTED_12(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_5 = data[5];
if (SORT_CMP(item_5, newItem) > 0) {
data[11] = data[10];
data[10] = data[9];
data[9] = data[8];
data[8] = data[7];
data[7] = data[6];
data[6] = item_5;
INSERT_INTO_SORTED_6(data, newItem);
} else {
INSERT_INTO_SORTED_6(&data[6], newItem);
}
}
// sorted size is 12 before call and 13 after
// data[12] has no data before call
#define INSERT_INTO_SORTED_13 SORT_MAKE_STR(insert_into_sorted_13)
INLINE_DEF void INSERT_INTO_SORTED_13(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_6 = data[6];
if (SORT_CMP(item_6, newItem) > 0) {
data[12] = data[11];
data[11] = data[10];
data[10] = data[9];
data[9] = data[8];
data[8] = data[7];
data[7] = item_6;
INSERT_INTO_SORTED_7(data, newItem);
} else {
INSERT_INTO_SORTED_6(&data[7], newItem);
}
}
// sorted size is 13 before call and 14 after
// data[13] has no data before call
#define INSERT_INTO_SORTED_14 SORT_MAKE_STR(insert_into_sorted_14)
INLINE_DEF void INSERT_INTO_SORTED_14(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_6 = data[6];
if (SORT_CMP(item_6, newItem) > 0) {
data[13] = data[12];
data[12] = data[11];
data[11] = data[10];
data[10] = data[9];
data[9] = data[8];
data[8] = data[7];
data[7] = item_6;
INSERT_INTO_SORTED_7(data, newItem);
} else {
INSERT_INTO_SORTED_7(&data[7], newItem);
}
}
// sorted size is 14 before call and 15 after
// data[14] has no data before call
#define INSERT_INTO_SORTED_15 SORT_MAKE_STR(insert_into_sorted_15)
INLINE_DEF void INSERT_INTO_SORTED_15(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_7 = data[7];
if (SORT_CMP(item_7, newItem) > 0) {
data[14] = data[13];
data[13] = data[12];
data[12] = data[11];
data[11] = data[10];
data[10] = data[9];
data[9] = data[8];
data[8] = item_7;
INSERT_INTO_SORTED_8(data, newItem);
} else {
INSERT_INTO_SORTED_7(&data[8], newItem);
}
}
// sorted size is 15 before call and 16 after
// data[15] has no data before call
#define INSERT_INTO_SORTED_16 SORT_MAKE_STR(insert_into_sorted_16)
INLINE_DEF void INSERT_INTO_SORTED_16(SORT_TYPE *data, SORT_TYPE newItem) {
SORT_TYPE item_7 = data[7];
if (SORT_CMP(item_7, newItem) > 0) {
data[15] = data[14];
data[14] = data[13];
data[13] = data[12];
data[12] = data[11];
data[11] = data[10];
data[10] = data[9];
data[9] = data[8];
data[8] = item_7;
INSERT_INTO_SORTED_8(data, newItem);
} else {
INSERT_INTO_SORTED_8(&data[8], newItem);
}
}
#define INSERT_SORT_1 SORT_MAKE_STR(insert_sort_1)
INLINE_DEF void INSERT_SORT_1(SORT_TYPE *data) {
return;
}
#define INSERT_SORT_2 SORT_MAKE_STR(insert_sort_2)
INLINE_DEF void INSERT_SORT_2(SORT_TYPE *data) {
// INSERT_SORT_1(data);
INSERT_INTO_SORTED_2(data, data[1]);
}
#define INSERT_SORT_3 SORT_MAKE_STR(insert_sort_3)
INLINE_DEF void INSERT_SORT_3(SORT_TYPE *data) {
INSERT_SORT_2(data);
INSERT_INTO_SORTED_3(data, data[2]);
}
#define INSERT_SORT_4 SORT_MAKE_STR(insert_sort_4)
INLINE_DEF void INSERT_SORT_4(SORT_TYPE *data) {
INSERT_SORT_3(data);
INSERT_INTO_SORTED_4(data, data[3]);
}
#define INSERT_SORT_5 SORT_MAKE_STR(insert_sort_5)
INLINE_DEF void INSERT_SORT_5(SORT_TYPE *data) {
INSERT_SORT_4(data);
INSERT_INTO_SORTED_5(data, data[4]);
}
#define INSERT_SORT_6 SORT_MAKE_STR(insert_sort_6)
INLINE_DEF void INSERT_SORT_6(SORT_TYPE *data) {
INSERT_SORT_5(data);
INSERT_INTO_SORTED_6(data, data[5]);
}
#define INSERT_SORT_7 SORT_MAKE_STR(insert_sort_7)
INLINE_DEF void INSERT_SORT_7(SORT_TYPE *data) {
INSERT_SORT_6(data);
INSERT_INTO_SORTED_7(data, data[6]);
}
#define INSERT_SORT_8 SORT_MAKE_STR(insert_sort_8)
INLINE_DEF void INSERT_SORT_8(SORT_TYPE *data) {
INSERT_SORT_7(data);
INSERT_INTO_SORTED_8(data, data[7]);
}
#define INSERT_SORT_9 SORT_MAKE_STR(insert_sort_9)
INLINE_DEF void INSERT_SORT_9(SORT_TYPE *data) {
INSERT_SORT_8(data);
INSERT_INTO_SORTED_9(data, data[8]);
}
#define INSERT_SORT_10 SORT_MAKE_STR(insert_sort_10)
INLINE_DEF void INSERT_SORT_10(SORT_TYPE *data) {
INSERT_SORT_9(data);
INSERT_INTO_SORTED_10(data, data[9]);
}
#define INSERT_SORT_11 SORT_MAKE_STR(insert_sort_11)
INLINE_DEF void INSERT_SORT_11(SORT_TYPE *data) {
INSERT_SORT_10(data);
INSERT_INTO_SORTED_11(data, data[10]);
}
#define INSERT_SORT_12 SORT_MAKE_STR(insert_sort_12)
INLINE_DEF void INSERT_SORT_12(SORT_TYPE *data) {
INSERT_SORT_11(data);
INSERT_INTO_SORTED_12(data, data[11]);
}
#define INSERT_SORT_13 SORT_MAKE_STR(insert_sort_13)
INLINE_DEF void INSERT_SORT_13(SORT_TYPE *data) {
INSERT_SORT_12(data);
INSERT_INTO_SORTED_13(data, data[12]);
}
#define INSERT_SORT_14 SORT_MAKE_STR(insert_sort_14)
INLINE_DEF void INSERT_SORT_14(SORT_TYPE *data) {
INSERT_SORT_13(data);
INSERT_INTO_SORTED_14(data, data[13]);
}
#define INSERT_SORT_15 SORT_MAKE_STR(insert_sort_15)
INLINE_DEF void INSERT_SORT_15(SORT_TYPE *data) {
INSERT_SORT_14(data);
INSERT_INTO_SORTED_15(data, data[14]);
}
#define INSERT_SORT_16 SORT_MAKE_STR(insert_sort_16)
INLINE_DEF void INSERT_SORT_16(SORT_TYPE *data) {
INSERT_SORT_15(data);
INSERT_INTO_SORTED_16(data, data[15]);
}
#define INSERT_SORT SORT_MAKE_STR(insert_sort)
// it is if-else only (no loops) binary insertion sort for size <= 16
SORT_DEF void INSERT_SORT(SORT_TYPE *data, const size_t size) {
switch (size) {
case 0:
case 1:
break;
case 2:
INSERT_SORT_2(data);
break;
case 3:
INSERT_SORT_3(data);
break;
case 4:
INSERT_SORT_4(data);
break;
case 5:
INSERT_SORT_5(data);
break;
case 6:
INSERT_SORT_6(data);
break;
case 7:
INSERT_SORT_7(data);
break;
case 8:
INSERT_SORT_8(data);
break;
case 9:
INSERT_SORT_9(data);
break;
case 10:
INSERT_SORT_10(data);
break;
case 11:
INSERT_SORT_11(data);
break;
case 12:
INSERT_SORT_12(data);
break;
case 13:
INSERT_SORT_13(data);
break;
case 14:
INSERT_SORT_14(data);
break;
case 15:
INSERT_SORT_15(data);
break;
case 16:
INSERT_SORT_16(data);
break;
default: {
INSERT_SORT_16(data);
BINARY_INSERTION_SORT_START(data, 16, size);
}
}
}
/**********************************************************************\
* Nano sorts *
* "Nano" means the functions do not access the array while sorting *
* Do not contain loops *
* e.g. NANO_SORT_4 makes only 4 reads and 4 writes from/to the array *
\**********************************************************************/
// "dest" and "source" can be the same
#define NANO_SORT_MOVE_2 SORT_MAKE_STR(nano_sort_move_2)
INLINE_DEF void NANO_SORT_MOVE_2(SORT_TYPE *dest, SORT_TYPE *source) {
MERGE_ITEMS_1_1(dest, source[0], source[1]);
}
// "dest" and "source" can be the same
#define NANO_SORT_MOVE_3 SORT_MAKE_STR(nano_sort_move_3)
INLINE_DEF void NANO_SORT_MOVE_3(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_1 = source[1];
SORT_TYPE item_2 = source[2];
if (SORT_CMP(item_0, item_1) > 0) {
MERGE_ITEMS_2_1(dest, item_1, item_0, item_2);
} else {
MERGE_ITEMS_2_1(dest, item_0, item_1, item_2);
}
}
// "dest" and "source" can be the same
#define NANO_SORT_MOVE_4 SORT_MAKE_STR(nano_sort_move_4)
INLINE_DEF void NANO_SORT_MOVE_4(SORT_TYPE *dest, SORT_TYPE *source) {
SORT_TYPE item_0 = source[0];
SORT_TYPE item_1 = source[1];
SORT_TYPE item_2 = source[2];
SORT_TYPE item_3 = source[3];
if (SORT_CMP(item_0, item_1) > 0) {
if (SORT_CMP(item_2, item_3) > 0) {
MERGE_ITEMS_2_2(dest, item_1, item_0, item_3, item_2);
} else {
MERGE_ITEMS_2_2(dest, item_1, item_0, item_2, item_3);
}
} else {
if (SORT_CMP(item_2, item_3) > 0) {
MERGE_ITEMS_2_2(dest, item_0, item_1, item_3, item_2);
} else {
MERGE_ITEMS_2_2(dest, item_0, item_1, item_2, item_3);
}
}
}
#define NANO_SORT_2 SORT_MAKE_STR(nano_sort_2)
INLINE_DEF void NANO_SORT_2(SORT_TYPE *data) {
SORT_TYPE item_0 = data[0];
SORT_TYPE item_1 = data[1];
if (SORT_CMP(item_0, item_1) > 0) {
data[0] = item_1;
data[1] = item_0;
}
}
// too complex, for demo only
#define NANO_SORT_3_DEMO SORT_MAKE_STR(nano_sort_3_demo)
INLINE_DEF void NANO_SORT_3_DEMO(SORT_TYPE *data) {
SORT_TYPE item_0 = data[0];
SORT_TYPE item_1 = data[1];
SORT_TYPE item_2 = data[2];
if (SORT_CMP(item_0, item_1) > 0) {
// item_0 > item_1 here
if (SORT_CMP(item_0, item_2) > 0) {
// item_0 > item_1, item_2 here
data[2] = item_0;
if (SORT_CMP(item_1, item_2) > 0) {
data[0] = item_2;
//data[1] = item_1;
} else {
data[0] = item_1;
data[1] = item_2;
}
} else {
// item_2 >= item_0 > item_1 here
data[0] = item_1;
data[1] = item_0;
//data[2] = item_2;
}
} else {
// item_0 <= item_1 here
if (SORT_CMP(item_0, item_2) > 0) {
// item_2 < item_0 <= item_1 here
data[0] = item_2;
data[1] = item_0;
data[2] = item_1;
} else {
// item_0 <= item_1, item_2 here
//data[0] = item_0;
if (SORT_CMP(item_1, item_2) > 0) {
data[1] = item_2;
data[2] = item_1;
} else {
//data[1] = item_1;
//data[2] = item_2;
}
}
}
}
#define NANO_SORT_3 SORT_MAKE_STR(nano_sort_3)
INLINE_DEF void NANO_SORT_3(SORT_TYPE *data) {
NANO_SORT_MOVE_3(data, data);
}
#define NANO_SORT_4 SORT_MAKE_STR(nano_sort_4)
INLINE_DEF void NANO_SORT_4(SORT_TYPE *data) {
NANO_SORT_MOVE_4(data, data);
}
/****************************************************\
* Micro sorts *
* "Micro" means the functions do not contain loops *
\****************************************************/
#define MICRO_MERGE_SORT_5 SORT_MAKE_STR(micro_merge_sort_5)
INLINE_DEF void MICRO_MERGE_SORT_5(SORT_TYPE *data, SORT_TYPE *temp) {
SORT_TYPE item_0 = data[0];
SORT_TYPE item_1 = data[1];
NANO_SORT_MOVE_3(&temp[2], &data[2]);
if (SORT_CMP(item_0, item_1) > 0) {
MERGE_2ITEMS_3(data, item_1, item_0, &temp[2]);
} else {
MERGE_2ITEMS_3(data, item_0, item_1, &temp[2]);
}
}
#define MICRO_MERGE_SORT_6 SORT_MAKE_STR(micro_merge_sort_6)
INLINE_DEF void MICRO_MERGE_SORT_6(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_3(temp, data);
NANO_SORT_MOVE_3(&temp[3], &data[3]);
MERGE_3_3(data, temp);
}
#define MICRO_MERGE_SORT_7 SORT_MAKE_STR(micro_merge_sort_7)
INLINE_DEF void MICRO_MERGE_SORT_7(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_4(temp, data);
NANO_SORT_MOVE_3(&temp[4], &data[4]);
MERGE_4_3(data, temp);
}
#define MICRO_MERGE_SORT_8 SORT_MAKE_STR(micro_merge_sort_8)
INLINE_DEF void MICRO_MERGE_SORT_8(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_4(temp, data);
NANO_SORT_MOVE_4(&temp[4], &data[4]);
MERGE_4_4(data, temp);
}
/**********************************************************************\
* Small sorts *
* "Small" means the functions are designed for a specific array size *
* Contain loops *
\**********************************************************************/
#define SMALL_MERGE_SORT_4 SORT_MAKE_STR(small_merge_sort_4)
INLINE_DEF void SMALL_MERGE_SORT_4(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_2(temp, data);
NANO_SORT_MOVE_2(&temp[2], &data[2]);
MERGE_ARRAY_STD(data, temp, 2, 4);
}
#define SMALL_MERGE_SORT_5 SORT_MAKE_STR(small_merge_sort_5)
INLINE_DEF void SMALL_MERGE_SORT_5(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_2(temp, data);
NANO_SORT_MOVE_3(&temp[2], &data[2]);
MERGE_ARRAY_STD(data, temp, 2, 5);
}
#define SMALL_MERGE_SORT_6 SORT_MAKE_STR(small_merge_sort_6)
INLINE_DEF void SMALL_MERGE_SORT_6(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_3(temp, data);
NANO_SORT_MOVE_3(&temp[3], &data[3]);
MERGE_ARRAY_STD(data, temp, 3, 6);
}
#define SMALL_MERGE_SORT_7 SORT_MAKE_STR(small_merge_sort_7)
INLINE_DEF void SMALL_MERGE_SORT_7(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_3(temp, data);
NANO_SORT_MOVE_4(&temp[3], &data[3]);
MERGE_ARRAY_STD(data, temp, 3, 7);
}
#define SMALL_MERGE_SORT_8 SORT_MAKE_STR(small_merge_sort_8)
INLINE_DEF void SMALL_MERGE_SORT_8(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_4(temp, data);
NANO_SORT_MOVE_4(&temp[4], &data[4]);
MERGE_ARRAY_STD(data, temp, 4, 8);
}
#define SMALL_MERGE_SORT_9 SORT_MAKE_STR(small_merge_sort_9)
INLINE_DEF void SMALL_MERGE_SORT_9(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_MOVE_4(temp, data);
NANO_SORT_2(&data[4]);
NANO_SORT_3(&data[6]);
MERGE_2ITEMS_3(&temp[4], data[4], data[5], &data[6]);
MERGE_ARRAY_STD(data, temp, 4, 9);
}
#define SMALL_MERGE_SORT_10 SORT_MAKE_STR(small_merge_sort_10)
INLINE_DEF void SMALL_MERGE_SORT_10(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_2(data);
NANO_SORT_3(&data[2]);
MERGE_2ITEMS_3(temp, data[0], data[1], &data[2]);
NANO_SORT_2(&data[5]);
NANO_SORT_3(&data[7]);
MERGE_2ITEMS_3(&temp[5], data[5], data[6], &data[7]);
MERGE_ARRAY_STD(data, temp, 5, 10);
}
#define SMALL_MERGE_SORT_11 SORT_MAKE_STR(small_merge_sort_11)
INLINE_DEF void SMALL_MERGE_SORT_11(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_2(data);
NANO_SORT_3(&data[2]);
MERGE_2ITEMS_3(temp, data[0], data[1], &data[2]);
NANO_SORT_3(&data[5]);
NANO_SORT_3(&data[8]);
MERGE_3_3(&temp[5], &data[5]);
MERGE_ARRAY_STD(data, temp, 5, 11);
}
#define SMALL_MERGE_SORT_12 SORT_MAKE_STR(small_merge_sort_12)
INLINE_DEF void SMALL_MERGE_SORT_12(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_3(data);
NANO_SORT_3(&data[3]);
MERGE_3_3(temp, data);
NANO_SORT_3(&data[6]);
NANO_SORT_3(&data[9]);
MERGE_3_3(&temp[6], &data[6]);
MERGE_ARRAY_STD(data, temp, 6, 12);
}
#define SMALL_MERGE_SORT_13 SORT_MAKE_STR(small_merge_sort_13)
INLINE_DEF void SMALL_MERGE_SORT_13(SORT_TYPE *data, SORT_TYPE *temp) {
NANO_SORT_3(data);
NANO_SORT_3(&data[3]);
MERGE_3_3(temp, data);
NANO_SORT_3(&data[6]);
NANO_SORT_4(&data[9]);
MERGE_3_4(&temp[6], &data[6]);
MERGE_ARRAY_STD(data, temp, 6, 13);
}
#define SMALL_MERGE_SORT_14 SORT_MAKE_STR(small_merge_sort_14)
INLINE_DEF void SMALL_MERGE_SORT_14(SORT_TYPE *data, SORT_TYPE *temp) {