379 lines
8.5 KiB
Plaintext
379 lines
8.5 KiB
Plaintext
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.\" $Id: heap.mdoc,v 1.1.2.1.10.1 2004/03/09 08:33:43 marka Exp $
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.\"
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.\" Copyright (c) 2004 by Internet Systems Consortium, Inc. ("ISC")
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.\" Copyright (c) 1997,1999 by Internet Software Consortium.
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.\"
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.\" Permission to use, copy, modify, and distribute this software for any
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.\" purpose with or without fee is hereby granted, provided that the above
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.\" copyright notice and this permission notice appear in all copies.
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.\"
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.\" THE SOFTWARE IS PROVIDED "AS IS" AND ISC DISCLAIMS ALL WARRANTIES
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.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL ISC BE LIABLE FOR
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.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT
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.\" OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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.\"
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.Dd January 1, 1997
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.\"Os OPERATING_SYSTEM [version/release]
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.Os BSD 4
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.Dt HEAP @SYSCALL_EXT@
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.Sh NAME
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.Nm heap_new ,
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.Nm heap_free ,
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.Nm heap_insert ,
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.Nm heap_delete ,
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.Nm heap_increased ,
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.Nm heap_decreased ,
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.Nm heap_element ,
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.Nm heap_for_each
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.Nd heap implementation of priority queues
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.Sh SYNOPSIS
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.Fd #include \&"heap.h\&"
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.Ft heap_context
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.Fn heap_new "heap_higher_priority_func higher_priority" \
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"heap_index_func index" "int array_size_increment"
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.Ft int
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.Fn heap_free "heap_context ctx"
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.Ft int
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.Fn heap_insert "heap_context ctx" "void *elt"
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.Ft int
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.Fn heap_delete "heap_context ctx" "int i"
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.Ft int
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.Fn heap_increased "heap_context ctx" "int i"
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.Ft int
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.Fn heap_decreased "heap_context ctx" "int i"
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.Ft void *
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.Fn heap_element "heap_context ctx" "int i"
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.Ft int
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.Fn heap_for_each "heap_context ctx" "heap_for_each_func action" "void *uap"
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.Sh DESCRIPTION
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These functions implement heap\-based priority queues. The user defines a
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priority scheme, and provides a function for comparison of the priority
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of heap elements
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(see the description of the
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.Ft heap_higher_priority_func
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function pointer, below).
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.Pp
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Each of the functions depends upon the
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.Ft heap_context
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type, which is a pointer to a
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.Ft struct heap_context
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.Pq see Pa heap.h No for more information .
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.Pp
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The
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.Pa heap.h
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header file also defines the following set of function
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function pointers:
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.Bd -literal -offset indent
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typedef int (*heap_higher_priority_func)(void *, void *);
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typedef void (*heap_index_func)(void *, int);
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typedef void (*heap_for_each_func)(void *, void *);
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.Ed
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.Pp
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These are pointers to user-defined functions.
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The
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.Ft heap_higher_priority_func
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type is a pointer to a function which compares two
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different heap (queue) elements and returns an
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.Ft int
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which answers the question, "Does the first queue element
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have a higher priority than the second?" In other words,
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a function pointer of this type
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.Em must
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return a number greater than zero
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if the element indicated by the first argument is of a higher priority than
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that indicated by the second element, and zero otherwise.
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.Pp
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The other two function pointers are documented in the descriptions
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of
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.Fn heap_new
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.Pq Va heap_index_func
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and
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.Fn heap_for_each
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.Pq Va heap_for_each_func ,
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below.
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.Pp
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The function
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.Fn heap_new
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initializes a
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.Ft struct heap_context
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and returns a pointer to it. The
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.Fa higher_priority
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function pointer
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.Em must
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be
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.No non\- Ns Dv NULL .
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As explained above, this refers to a
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function supplied by the user which compares the priority of two different
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queue or heap elements; see above for more information.
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The second argument,
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.Fa index ,
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is a pointer to a user-defined function whose arguments are
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a heap element and its index in the heap.
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.Fa Index
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is intended to provide the user a means of knowing the internal index
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of an element in the heap while maintaining the opacity of the implementation;
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since the user has to know the actual indexes of heap elements in order to use,
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e.g.,
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.Fn heap_delete
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or
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.Fn heap_element ,
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the user
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.Fa index
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function could store the index in the heap element, itself. If
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.Fa index
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is
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.No non\- Ns Dv NULL ,
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then it is called
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.Em whenever
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the index of an element changes, allowing the user to stay up\-to\-date
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with index changes.
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The last argument,
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.Fa array_size_increment
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will be used, as its name suggests, by
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.Xr malloc 3
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or
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.Xr realloc 3
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to increment the array which implements the heap; if zero, a default value
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will be used.
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.Pp
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The
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.Fn heap_free
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function frees the given
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.Ft heap_context
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argument
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.Pq Fa ctx ,
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which also frees the entire
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.Nm heap ,
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if it is
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.No non\- Ns Dv NULL .
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The argument
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.Fa ctx
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should be
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.No non\- Ns Dv NULL .
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.Pp
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The
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.Fn heap_insert
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function is used to insert the new heap element
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.Fa elt
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into the appropriate place (priority\-wise) in the
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.Ft heap
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indicated by
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.Fa ctx
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(a pointer to a
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.Ft heap_context ) .
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If
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.No non\- Ns Dv NULL ,
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the user-defined
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.Ft higher_priority
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function pointer associated with the indicated
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.Nm heap
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is used to determine that
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.Dq appropriate place ;
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the highest\-priority elements are at the front of the queue (top of
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the heap).
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(See the description of
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.Fn heap_new ,
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above, for more information.)
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.Pp
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The function
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.Fn heap_delete
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is used to delete the
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.Fa i\- Ns th
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element of the queue (heap), and fixing up the queue (heap) from that
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element onward via the priority as determined by the user function
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pointed to by
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.Ft higher_priority
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function pointer
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(see description of
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.Fn heap_new ,
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above).
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.Pp
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.Fn heap_increased
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.Pp
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.Fn heap_decreased
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.Pp
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The
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.Fn heap_element
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function returns the
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.Fa i\- Ns th
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element of the queue/heap indicated by
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.Fa ctx ,
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if possible.
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.Pp
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The
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.Fn heap_for_each
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function provides a mechanism for the user to increment through the entire
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queue (heap) and perform some
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.Fa action
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upon each of the queue elements. This
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.Fa action
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is pointer to a user\-defined function with two arguments, the first of
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which should be interpreted by the user's function as a heap element. The
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second value passed to the user function is just the
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.Fa uap
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argument to
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.Fn heap_for_each ;
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this allows the user to specify additional arguments, if necessary, to
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the function pointed to by
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.Fa action .
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.\" The following requests should be uncommented and
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.\" used where appropriate. This next request is
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.\" for sections 2 and 3 function return values only.
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.Sh RETURN VALUES
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.Bl -tag -width "heap_decreased()"
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.It Fn heap_new
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.Dv NULL
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if unable to
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.Xr malloc 3
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a
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.Ft struct heap_context
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or if the
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.Fa higher_priority
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function pointer is
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.Dv NULL ;
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otherwise, a valid
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.Ft heap_context
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.Ns .
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.It Fn heap_free
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-1 if
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.Fa ctx
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is
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.Dv NULL
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(with
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.Va errno
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set to
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.Dv EINVAL ) ;
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otherwise, 0.
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.It Fn heap_insert
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-1
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if either
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.Fa ctx
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or
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.Fa elt
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is
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.Dv NULL ,
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or if an attempt to
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.Xr malloc 3
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or
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.Xr realloc 3
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the heap array fails (with
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.Va errno
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set to
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.Dv EINVAL
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or
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.Dv ENOMEM ,
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respectively).
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Otherwise, 0.
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.It Fn heap_delete
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-1 if
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.Fa ctx
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is
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.Dv NULL
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or
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.Fa i
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is out\-of\-range (with
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.Va errno
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set to
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.Dv EINVAL ) ;
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0 otherwise.
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.It Fn heap_increased
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As for
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.Fn heap_delete .
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.It Fn heap_decreased
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As for
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.Fn heap_delete .
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.It Fn heap_element
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NULL if
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.Fa ctx
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is
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.Dv NULL
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or
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.Fa i
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out\-of-bounds (with
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.Va errno
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set to
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.Dv EINVAL ) ;
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otherwise, a pointer to the
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.Fa i\- Ns th
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queue element.
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.It Fn heap_for_each
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-1 if either
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.Fa ctx
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or
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.Fa action
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is
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.Dv NULL
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(with
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.Va errno
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set to
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.Dv EINVAL ) ;
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0 otherwise.
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.El
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.\" This next request is for sections 1, 6, 7 & 8 only
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.\" .Sh ENVIRONMENT
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.Sh FILES
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.Bl -tag -width "heap.h000"
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.It Pa heap.h
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heap library header file
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.El
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.\" .Sh EXAMPLES
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.\" This next request is for sections 1, 6, 7 & 8 only
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.\" (command return values (to shell) and
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.\" fprintf/stderr type diagnostics)
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.Sh DIAGNOSTICS
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Please refer to
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.Sx RETURN VALUES .
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.\" The next request is for sections 2 and 3 error
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.\" and signal handling only.
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.Sh ERRORS
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The variable
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.Va errno
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is set by
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.Fn heap_free ,
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.Fn heap_insert ,
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.Fn heap_delete ,
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.Fn heap_increased ,
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and
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.Fn heap_decreased
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under the conditions of invalid input
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.Pq Dv EINVAL
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or lack of memory
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.Pq Dv ENOMEM ;
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please refer to
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.Sx RETURN VALUES .
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.Sh SEE ALSO
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.Xr malloc 3 ,
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.Xr realloc 3 .
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.Rs
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.%A Cormen
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.%A Leiserson
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.%A Rivest
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.%B Introduction to Algorithms
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.%Q "MIT Press / McGraw Hill"
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.%D 1990
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.%O ISBN 0\-262\-03141\-8
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.%P chapter 7
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.Re
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.Rs
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.%A Sedgewick
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.%B Algorithms, 2nd ed'n
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.%Q Addison\-Wesley
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.%D 1988
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.%O ISBN 0\-201\-06673\-4
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.%P chapter 11
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.Re
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.\" .Sh STANDARDS
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.\" .Sh HISTORY
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.Sh AUTHORS
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The
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.Nm heap
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library was implemented by Bob Halley (halley@vix.com) of Vixie Enterprises,
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Inc., for the Internet Software consortium, and was adapted from
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the two books listed in the
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.Sx SEE ALSO
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section, above.
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.\" .Sh BUGS
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