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Diffstat (limited to 'x/binutils/libiberty/hashtab.c')
-rw-r--r-- | x/binutils/libiberty/hashtab.c | 853 |
1 files changed, 853 insertions, 0 deletions
diff --git a/x/binutils/libiberty/hashtab.c b/x/binutils/libiberty/hashtab.c new file mode 100644 index 0000000..231fbc0 --- /dev/null +++ b/x/binutils/libiberty/hashtab.c @@ -0,0 +1,853 @@ +/* An expandable hash tables datatype. + Copyright (C) 1999, 2000, 2001, 2002, 2003 Free Software Foundation, Inc. + Contributed by Vladimir Makarov (vmakarov@cygnus.com). + +This file is part of the libiberty library. +Libiberty is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libiberty 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 +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libiberty; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, +Boston, MA 02111-1307, USA. */ + +/* This package implements basic hash table functionality. It is possible + to search for an entry, create an entry and destroy an entry. + + Elements in the table are generic pointers. + + The size of the table is not fixed; if the occupancy of the table + grows too high the hash table will be expanded. + + The abstract data implementation is based on generalized Algorithm D + from Knuth's book "The art of computer programming". Hash table is + expanded by creation of new hash table and transferring elements from + the old table to the new table. */ + +#ifdef HAVE_CONFIG_H +#include "config.h" +#endif + +#include <sys/types.h> + +#ifdef HAVE_STDLIB_H +#include <stdlib.h> +#endif + +#ifdef HAVE_STRING_H +#include <string.h> +#endif + +#ifdef HAVE_MALLOC_H +#include <malloc.h> +#endif + +#include <stdio.h> + +#include "libiberty.h" +#include "hashtab.h" + +/* This macro defines reserved value for empty table entry. */ + +#define EMPTY_ENTRY ((PTR) 0) + +/* This macro defines reserved value for table entry which contained + a deleted element. */ + +#define DELETED_ENTRY ((PTR) 1) + +static unsigned long higher_prime_number PARAMS ((unsigned long)); +static hashval_t hash_pointer PARAMS ((const void *)); +static int eq_pointer PARAMS ((const void *, const void *)); +static int htab_expand PARAMS ((htab_t)); +static PTR *find_empty_slot_for_expand PARAMS ((htab_t, hashval_t)); + +/* At some point, we could make these be NULL, and modify the + hash-table routines to handle NULL specially; that would avoid + function-call overhead for the common case of hashing pointers. */ +htab_hash htab_hash_pointer = hash_pointer; +htab_eq htab_eq_pointer = eq_pointer; + +/* The following function returns a nearest prime number which is + greater than N, and near a power of two. */ + +static unsigned long +higher_prime_number (n) + unsigned long n; +{ + /* These are primes that are near, but slightly smaller than, a + power of two. */ + static const unsigned long primes[] = { + (unsigned long) 7, + (unsigned long) 13, + (unsigned long) 31, + (unsigned long) 61, + (unsigned long) 127, + (unsigned long) 251, + (unsigned long) 509, + (unsigned long) 1021, + (unsigned long) 2039, + (unsigned long) 4093, + (unsigned long) 8191, + (unsigned long) 16381, + (unsigned long) 32749, + (unsigned long) 65521, + (unsigned long) 131071, + (unsigned long) 262139, + (unsigned long) 524287, + (unsigned long) 1048573, + (unsigned long) 2097143, + (unsigned long) 4194301, + (unsigned long) 8388593, + (unsigned long) 16777213, + (unsigned long) 33554393, + (unsigned long) 67108859, + (unsigned long) 134217689, + (unsigned long) 268435399, + (unsigned long) 536870909, + (unsigned long) 1073741789, + (unsigned long) 2147483647, + /* 4294967291L */ + ((unsigned long) 2147483647) + ((unsigned long) 2147483644), + }; + + const unsigned long *low = &primes[0]; + const unsigned long *high = &primes[sizeof(primes) / sizeof(primes[0])]; + + while (low != high) + { + const unsigned long *mid = low + (high - low) / 2; + if (n > *mid) + low = mid + 1; + else + high = mid; + } + + /* If we've run out of primes, abort. */ + if (n > *low) + { + fprintf (stderr, "Cannot find prime bigger than %lu\n", n); + abort (); + } + + return *low; +} + +/* Returns a hash code for P. */ + +static hashval_t +hash_pointer (p) + const PTR p; +{ + return (hashval_t) ((long)p >> 3); +} + +/* Returns non-zero if P1 and P2 are equal. */ + +static int +eq_pointer (p1, p2) + const PTR p1; + const PTR p2; +{ + return p1 == p2; +} + +/* This function creates table with length slightly longer than given + source length. Created hash table is initiated as empty (all the + hash table entries are EMPTY_ENTRY). The function returns the + created hash table, or NULL if memory allocation fails. */ + +htab_t +htab_create_alloc (size, hash_f, eq_f, del_f, alloc_f, free_f) + size_t size; + htab_hash hash_f; + htab_eq eq_f; + htab_del del_f; + htab_alloc alloc_f; + htab_free free_f; +{ + htab_t result; + + size = higher_prime_number (size); + result = (htab_t) (*alloc_f) (1, sizeof (struct htab)); + if (result == NULL) + return NULL; + result->entries = (PTR *) (*alloc_f) (size, sizeof (PTR)); + if (result->entries == NULL) + { + if (free_f != NULL) + (*free_f) (result); + return NULL; + } + result->size = size; + result->hash_f = hash_f; + result->eq_f = eq_f; + result->del_f = del_f; + result->alloc_f = alloc_f; + result->free_f = free_f; + return result; +} + +/* As above, but use the variants of alloc_f and free_f which accept + an extra argument. */ + +htab_t +htab_create_alloc_ex (size, hash_f, eq_f, del_f, alloc_arg, alloc_f, + free_f) + size_t size; + htab_hash hash_f; + htab_eq eq_f; + htab_del del_f; + PTR alloc_arg; + htab_alloc_with_arg alloc_f; + htab_free_with_arg free_f; +{ + htab_t result; + + size = higher_prime_number (size); + result = (htab_t) (*alloc_f) (alloc_arg, 1, sizeof (struct htab)); + if (result == NULL) + return NULL; + result->entries = (PTR *) (*alloc_f) (alloc_arg, size, sizeof (PTR)); + if (result->entries == NULL) + { + if (free_f != NULL) + (*free_f) (alloc_arg, result); + return NULL; + } + result->size = size; + result->hash_f = hash_f; + result->eq_f = eq_f; + result->del_f = del_f; + result->alloc_arg = alloc_arg; + result->alloc_with_arg_f = alloc_f; + result->free_with_arg_f = free_f; + return result; +} + +/* Update the function pointers and allocation parameter in the htab_t. */ + +void +htab_set_functions_ex (htab, hash_f, eq_f, del_f, alloc_arg, alloc_f, free_f) + htab_t htab; + htab_hash hash_f; + htab_eq eq_f; + htab_del del_f; + PTR alloc_arg; + htab_alloc_with_arg alloc_f; + htab_free_with_arg free_f; +{ + htab->hash_f = hash_f; + htab->eq_f = eq_f; + htab->del_f = del_f; + htab->alloc_arg = alloc_arg; + htab->alloc_with_arg_f = alloc_f; + htab->free_with_arg_f = free_f; +} + +/* These functions exist solely for backward compatibility. */ + +#undef htab_create +htab_t +htab_create (size, hash_f, eq_f, del_f) + size_t size; + htab_hash hash_f; + htab_eq eq_f; + htab_del del_f; +{ + return htab_create_alloc (size, hash_f, eq_f, del_f, xcalloc, free); +} + +htab_t +htab_try_create (size, hash_f, eq_f, del_f) + size_t size; + htab_hash hash_f; + htab_eq eq_f; + htab_del del_f; +{ + return htab_create_alloc (size, hash_f, eq_f, del_f, calloc, free); +} + +/* This function frees all memory allocated for given hash table. + Naturally the hash table must already exist. */ + +void +htab_delete (htab) + htab_t htab; +{ + int i; + + if (htab->del_f) + for (i = htab->size - 1; i >= 0; i--) + if (htab->entries[i] != EMPTY_ENTRY + && htab->entries[i] != DELETED_ENTRY) + (*htab->del_f) (htab->entries[i]); + + if (htab->free_f != NULL) + { + (*htab->free_f) (htab->entries); + (*htab->free_f) (htab); + } + else if (htab->free_with_arg_f != NULL) + { + (*htab->free_with_arg_f) (htab->alloc_arg, htab->entries); + (*htab->free_with_arg_f) (htab->alloc_arg, htab); + } +} + +/* This function clears all entries in the given hash table. */ + +void +htab_empty (htab) + htab_t htab; +{ + int i; + + if (htab->del_f) + for (i = htab->size - 1; i >= 0; i--) + if (htab->entries[i] != EMPTY_ENTRY + && htab->entries[i] != DELETED_ENTRY) + (*htab->del_f) (htab->entries[i]); + + memset (htab->entries, 0, htab->size * sizeof (PTR)); +} + +/* Similar to htab_find_slot, but without several unwanted side effects: + - Does not call htab->eq_f when it finds an existing entry. + - Does not change the count of elements/searches/collisions in the + hash table. + This function also assumes there are no deleted entries in the table. + HASH is the hash value for the element to be inserted. */ + +static PTR * +find_empty_slot_for_expand (htab, hash) + htab_t htab; + hashval_t hash; +{ + size_t size = htab->size; + unsigned int index = hash % size; + PTR *slot = htab->entries + index; + hashval_t hash2; + + if (*slot == EMPTY_ENTRY) + return slot; + else if (*slot == DELETED_ENTRY) + abort (); + + hash2 = 1 + hash % (size - 2); + for (;;) + { + index += hash2; + if (index >= size) + index -= size; + + slot = htab->entries + index; + if (*slot == EMPTY_ENTRY) + return slot; + else if (*slot == DELETED_ENTRY) + abort (); + } +} + +/* The following function changes size of memory allocated for the + entries and repeatedly inserts the table elements. The occupancy + of the table after the call will be about 50%. Naturally the hash + table must already exist. Remember also that the place of the + table entries is changed. If memory allocation failures are allowed, + this function will return zero, indicating that the table could not be + expanded. If all goes well, it will return a non-zero value. */ + +static int +htab_expand (htab) + htab_t htab; +{ + PTR *oentries; + PTR *olimit; + PTR *p; + PTR *nentries; + size_t nsize; + + oentries = htab->entries; + olimit = oentries + htab->size; + + /* Resize only when table after removal of unused elements is either + too full or too empty. */ + if ((htab->n_elements - htab->n_deleted) * 2 > htab->size + || ((htab->n_elements - htab->n_deleted) * 8 < htab->size + && htab->size > 32)) + nsize = higher_prime_number ((htab->n_elements - htab->n_deleted) * 2); + else + nsize = htab->size; + + if (htab->alloc_with_arg_f != NULL) + nentries = (PTR *) (*htab->alloc_with_arg_f) (htab->alloc_arg, nsize, + sizeof (PTR *)); + else + nentries = (PTR *) (*htab->alloc_f) (nsize, sizeof (PTR *)); + if (nentries == NULL) + return 0; + htab->entries = nentries; + htab->size = nsize; + + htab->n_elements -= htab->n_deleted; + htab->n_deleted = 0; + + p = oentries; + do + { + PTR x = *p; + + if (x != EMPTY_ENTRY && x != DELETED_ENTRY) + { + PTR *q = find_empty_slot_for_expand (htab, (*htab->hash_f) (x)); + + *q = x; + } + + p++; + } + while (p < olimit); + + if (htab->free_f != NULL) + (*htab->free_f) (oentries); + else if (htab->free_with_arg_f != NULL) + (*htab->free_with_arg_f) (htab->alloc_arg, oentries); + return 1; +} + +/* This function searches for a hash table entry equal to the given + element. It cannot be used to insert or delete an element. */ + +PTR +htab_find_with_hash (htab, element, hash) + htab_t htab; + const PTR element; + hashval_t hash; +{ + unsigned int index; + hashval_t hash2; + size_t size; + PTR entry; + + htab->searches++; + size = htab->size; + index = hash % size; + + entry = htab->entries[index]; + if (entry == EMPTY_ENTRY + || (entry != DELETED_ENTRY && (*htab->eq_f) (entry, element))) + return entry; + + hash2 = 1 + hash % (size - 2); + + for (;;) + { + htab->collisions++; + index += hash2; + if (index >= size) + index -= size; + + entry = htab->entries[index]; + if (entry == EMPTY_ENTRY + || (entry != DELETED_ENTRY && (*htab->eq_f) (entry, element))) + return entry; + } +} + +/* Like htab_find_slot_with_hash, but compute the hash value from the + element. */ + +PTR +htab_find (htab, element) + htab_t htab; + const PTR element; +{ + return htab_find_with_hash (htab, element, (*htab->hash_f) (element)); +} + +/* This function searches for a hash table slot containing an entry + equal to the given element. To delete an entry, call this with + INSERT = 0, then call htab_clear_slot on the slot returned (possibly + after doing some checks). To insert an entry, call this with + INSERT = 1, then write the value you want into the returned slot. + When inserting an entry, NULL may be returned if memory allocation + fails. */ + +PTR * +htab_find_slot_with_hash (htab, element, hash, insert) + htab_t htab; + const PTR element; + hashval_t hash; + enum insert_option insert; +{ + PTR *first_deleted_slot; + unsigned int index; + hashval_t hash2; + size_t size; + PTR entry; + + if (insert == INSERT && htab->size * 3 <= htab->n_elements * 4 + && htab_expand (htab) == 0) + return NULL; + + size = htab->size; + index = hash % size; + + htab->searches++; + first_deleted_slot = NULL; + + entry = htab->entries[index]; + if (entry == EMPTY_ENTRY) + goto empty_entry; + else if (entry == DELETED_ENTRY) + first_deleted_slot = &htab->entries[index]; + else if ((*htab->eq_f) (entry, element)) + return &htab->entries[index]; + + hash2 = 1 + hash % (size - 2); + for (;;) + { + htab->collisions++; + index += hash2; + if (index >= size) + index -= size; + + entry = htab->entries[index]; + if (entry == EMPTY_ENTRY) + goto empty_entry; + else if (entry == DELETED_ENTRY) + { + if (!first_deleted_slot) + first_deleted_slot = &htab->entries[index]; + } + else if ((*htab->eq_f) (entry, element)) + return &htab->entries[index]; + } + + empty_entry: + if (insert == NO_INSERT) + return NULL; + + if (first_deleted_slot) + { + htab->n_deleted--; + *first_deleted_slot = EMPTY_ENTRY; + return first_deleted_slot; + } + + htab->n_elements++; + return &htab->entries[index]; +} + +/* Like htab_find_slot_with_hash, but compute the hash value from the + element. */ + +PTR * +htab_find_slot (htab, element, insert) + htab_t htab; + const PTR element; + enum insert_option insert; +{ + return htab_find_slot_with_hash (htab, element, (*htab->hash_f) (element), + insert); +} + +/* This function deletes an element with the given value from hash + table. If there is no matching element in the hash table, this + function does nothing. */ + +void +htab_remove_elt (htab, element) + htab_t htab; + PTR element; +{ + PTR *slot; + + slot = htab_find_slot (htab, element, NO_INSERT); + if (*slot == EMPTY_ENTRY) + return; + + if (htab->del_f) + (*htab->del_f) (*slot); + + *slot = DELETED_ENTRY; + htab->n_deleted++; +} + +/* This function clears a specified slot in a hash table. It is + useful when you've already done the lookup and don't want to do it + again. */ + +void +htab_clear_slot (htab, slot) + htab_t htab; + PTR *slot; +{ + if (slot < htab->entries || slot >= htab->entries + htab->size + || *slot == EMPTY_ENTRY || *slot == DELETED_ENTRY) + abort (); + + if (htab->del_f) + (*htab->del_f) (*slot); + + *slot = DELETED_ENTRY; + htab->n_deleted++; +} + +/* This function scans over the entire hash table calling + CALLBACK for each live entry. If CALLBACK returns false, + the iteration stops. INFO is passed as CALLBACK's second + argument. */ + +void +htab_traverse_noresize (htab, callback, info) + htab_t htab; + htab_trav callback; + PTR info; +{ + PTR *slot; + PTR *limit; + + slot = htab->entries; + limit = slot + htab->size; + + do + { + PTR x = *slot; + + if (x != EMPTY_ENTRY && x != DELETED_ENTRY) + if (!(*callback) (slot, info)) + break; + } + while (++slot < limit); +} + +/* Like htab_traverse_noresize, but does resize the table when it is + too empty to improve effectivity of subsequent calls. */ + +void +htab_traverse (htab, callback, info) + htab_t htab; + htab_trav callback; + PTR info; +{ + if ((htab->n_elements - htab->n_deleted) * 8 < htab->size) + htab_expand (htab); + + htab_traverse_noresize (htab, callback, info); +} + +/* Return the current size of given hash table. */ + +size_t +htab_size (htab) + htab_t htab; +{ + return htab->size; +} + +/* Return the current number of elements in given hash table. */ + +size_t +htab_elements (htab) + htab_t htab; +{ + return htab->n_elements - htab->n_deleted; +} + +/* Return the fraction of fixed collisions during all work with given + hash table. */ + +double +htab_collisions (htab) + htab_t htab; +{ + if (htab->searches == 0) + return 0.0; + + return (double) htab->collisions / (double) htab->searches; +} + +/* Hash P as a null-terminated string. + + Copied from gcc/hashtable.c. Zack had the following to say with respect + to applicability, though note that unlike hashtable.c, this hash table + implementation re-hashes rather than chain buckets. + + http://gcc.gnu.org/ml/gcc-patches/2001-08/msg01021.html + From: Zack Weinberg <zackw@panix.com> + Date: Fri, 17 Aug 2001 02:15:56 -0400 + + I got it by extracting all the identifiers from all the source code + I had lying around in mid-1999, and testing many recurrences of + the form "H_n = H_{n-1} * K + c_n * L + M" where K, L, M were either + prime numbers or the appropriate identity. This was the best one. + I don't remember exactly what constituted "best", except I was + looking at bucket-length distributions mostly. + + So it should be very good at hashing identifiers, but might not be + as good at arbitrary strings. + + I'll add that it thoroughly trounces the hash functions recommended + for this use at http://burtleburtle.net/bob/hash/index.html, both + on speed and bucket distribution. I haven't tried it against the + function they just started using for Perl's hashes. */ + +hashval_t +htab_hash_string (p) + const PTR p; +{ + const unsigned char *str = (const unsigned char *) p; + hashval_t r = 0; + unsigned char c; + + while ((c = *str++) != 0) + r = r * 67 + c - 113; + + return r; +} + +/* DERIVED FROM: +-------------------------------------------------------------------- +lookup2.c, by Bob Jenkins, December 1996, Public Domain. +hash(), hash2(), hash3, and mix() are externally useful functions. +Routines to test the hash are included if SELF_TEST is defined. +You can use this free for any purpose. It has no warranty. +-------------------------------------------------------------------- +*/ + +/* +-------------------------------------------------------------------- +mix -- mix 3 32-bit values reversibly. +For every delta with one or two bit set, and the deltas of all three + high bits or all three low bits, whether the original value of a,b,c + is almost all zero or is uniformly distributed, +* If mix() is run forward or backward, at least 32 bits in a,b,c + have at least 1/4 probability of changing. +* If mix() is run forward, every bit of c will change between 1/3 and + 2/3 of the time. (Well, 22/100 and 78/100 for some 2-bit deltas.) +mix() was built out of 36 single-cycle latency instructions in a + structure that could supported 2x parallelism, like so: + a -= b; + a -= c; x = (c>>13); + b -= c; a ^= x; + b -= a; x = (a<<8); + c -= a; b ^= x; + c -= b; x = (b>>13); + ... + Unfortunately, superscalar Pentiums and Sparcs can't take advantage + of that parallelism. They've also turned some of those single-cycle + latency instructions into multi-cycle latency instructions. Still, + this is the fastest good hash I could find. There were about 2^^68 + to choose from. I only looked at a billion or so. +-------------------------------------------------------------------- +*/ +/* same, but slower, works on systems that might have 8 byte hashval_t's */ +#define mix(a,b,c) \ +{ \ + a -= b; a -= c; a ^= (c>>13); \ + b -= c; b -= a; b ^= (a<< 8); \ + c -= a; c -= b; c ^= ((b&0xffffffff)>>13); \ + a -= b; a -= c; a ^= ((c&0xffffffff)>>12); \ + b -= c; b -= a; b = (b ^ (a<<16)) & 0xffffffff; \ + c -= a; c -= b; c = (c ^ (b>> 5)) & 0xffffffff; \ + a -= b; a -= c; a = (a ^ (c>> 3)) & 0xffffffff; \ + b -= c; b -= a; b = (b ^ (a<<10)) & 0xffffffff; \ + c -= a; c -= b; c = (c ^ (b>>15)) & 0xffffffff; \ +} + +/* +-------------------------------------------------------------------- +hash() -- hash a variable-length key into a 32-bit value + k : the key (the unaligned variable-length array of bytes) + len : the length of the key, counting by bytes + level : can be any 4-byte value +Returns a 32-bit value. Every bit of the key affects every bit of +the return value. Every 1-bit and 2-bit delta achieves avalanche. +About 36+6len instructions. + +The best hash table sizes are powers of 2. There is no need to do +mod a prime (mod is sooo slow!). If you need less than 32 bits, +use a bitmask. For example, if you need only 10 bits, do + h = (h & hashmask(10)); +In which case, the hash table should have hashsize(10) elements. + +If you are hashing n strings (ub1 **)k, do it like this: + for (i=0, h=0; i<n; ++i) h = hash( k[i], len[i], h); + +By Bob Jenkins, 1996. bob_jenkins@burtleburtle.net. You may use this +code any way you wish, private, educational, or commercial. It's free. + +See http://burtleburtle.net/bob/hash/evahash.html +Use for hash table lookup, or anything where one collision in 2^32 is +acceptable. Do NOT use for cryptographic purposes. +-------------------------------------------------------------------- +*/ + +hashval_t iterative_hash (k_in, length, initval) + const PTR k_in; /* the key */ + register size_t length; /* the length of the key */ + register hashval_t initval; /* the previous hash, or an arbitrary value */ +{ + register const unsigned char *k = (const unsigned char *)k_in; + register hashval_t a,b,c,len; + + /* Set up the internal state */ + len = length; + a = b = 0x9e3779b9; /* the golden ratio; an arbitrary value */ + c = initval; /* the previous hash value */ + + /*---------------------------------------- handle most of the key */ +#ifndef WORDS_BIGENDIAN + /* On a little-endian machine, if the data is 4-byte aligned we can hash + by word for better speed. This gives nondeterministic results on + big-endian machines. */ + if (sizeof (hashval_t) == 4 && (((size_t)k)&3) == 0) + while (len >= 12) /* aligned */ + { + a += *(hashval_t *)(k+0); + b += *(hashval_t *)(k+4); + c += *(hashval_t *)(k+8); + mix(a,b,c); + k += 12; len -= 12; + } + else /* unaligned */ +#endif + while (len >= 12) + { + a += (k[0] +((hashval_t)k[1]<<8) +((hashval_t)k[2]<<16) +((hashval_t)k[3]<<24)); + b += (k[4] +((hashval_t)k[5]<<8) +((hashval_t)k[6]<<16) +((hashval_t)k[7]<<24)); + c += (k[8] +((hashval_t)k[9]<<8) +((hashval_t)k[10]<<16)+((hashval_t)k[11]<<24)); + mix(a,b,c); + k += 12; len -= 12; + } + + /*------------------------------------- handle the last 11 bytes */ + c += length; + switch(len) /* all the case statements fall through */ + { + case 11: c+=((hashval_t)k[10]<<24); + case 10: c+=((hashval_t)k[9]<<16); + case 9 : c+=((hashval_t)k[8]<<8); + /* the first byte of c is reserved for the length */ + case 8 : b+=((hashval_t)k[7]<<24); + case 7 : b+=((hashval_t)k[6]<<16); + case 6 : b+=((hashval_t)k[5]<<8); + case 5 : b+=k[4]; + case 4 : a+=((hashval_t)k[3]<<24); + case 3 : a+=((hashval_t)k[2]<<16); + case 2 : a+=((hashval_t)k[1]<<8); + case 1 : a+=k[0]; + /* case 0: nothing left to add */ + } + mix(a,b,c); + /*-------------------------------------------- report the result */ + return c; +} |