/usr/share/calc/help/fopen is in apcalc-common 2.12.5.0-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 | NAME
    fopen - open a file
SYNOPSIS
    fopen(filename, mode)
TYPES
    filename	string
    mode	string
    return	file
DESCRIPTION
    This function opens the file named filename.  A file can be
    opened for either reading, writing, or appending.  The mode
    is controlled by the mode flag as follows:
		 allow	  allow    file is   positioned	  file(*)
       mode	reading	 writing  truncated      at	  mode
       ----	-------  -------  ---------  ---------	  ----
	r	   Y	    N	      N      beginning	  text
	rb	   Y	    N	      N      beginning	  binary
	r+	   Y	    N	      N      beginning	  text
	r+b	   Y	    N	      N      beginning	  binary
	rb+	   Y	    N	      N      beginning	  binary
	w	   N	    Y	      Y      beginning	  text
	wb	   N	    Y	      Y      beginning	  binary
	w+	   Y	    Y	      Y      beginning	  text
	w+b	   Y	    Y	      Y      beginning	  binary
	wb+	   Y	    Y	      Y      beginning	  binary
	a	   N	    Y	      Y         end	  text
	ab	   N	    Y	      Y         end	  binary
	a+	   Y	    Y	      Y         end	  text
	a+b	   Y	    Y	      Y         end	  binary
	ab+	   Y	    Y	      Y         end	  binary
    (*) NOTE on 'b' / binary/text mode:
    	The 'b' or fopen binary mode has no effect on POSIX / Linux
	/ Un*x-like systems.  On those systems a text file is the
	same as a binary file (as it should be for any modern-day
	operating system).  Adding 'b' to an fopen has no effect
	and is ignored.
	Some non-POSIX systems sucn as MS Windoz treat text files
	and binary files differently.  In text mode MS Windoz consider
	"\r\n" and end-of-line character.  On an Apple MAC, the
	text mode end-of-line character is "\r".
    Names of files are subject to ~ expansion just like the C or
    Korn shell.	 For example, the file name:
	~/lib/gleet
    refers to the file 'gleet' under the directory lib located
    in your home directory.  The file name:
	~chongo/was_here
    refers to the a file 'was_here' under the home directory of
    the user 'chongo'.
    If the open is successful, a value of type 'file' will be returned.
    You can use the 'isfile' function to test the return value to see
    if the open succeeded.  You should assign the return value of fopen
    to a variable for later use.  File values can be copied to more than
    one variable, and using any of the variables with the same file value
    will produce the same results.
    Standard input, standard output and standard error are always opened
    and cannot be closed.
    The truth value of an opened file is TRUE.
    If the open is unsuccessful, the numeric value of errno is returned.
    You can the strerror() builtin to determine what the errno number means.
EXAMPLE
    ; fd = fopen("/etc/motd", "r")
    ; print fd
    "/etc/motd"
    ; fd
	    FILE 3 "/etc/motd" (reading, pos 0)
    ; outfile = fopen("~/tmp/output", "w")
    ; print outfile
    "~/tmp/output"
    ; outfile
	    FILE 4 "~/tmp/output" (writing, pos 0)
    ; badfile = fopen("not_a_file", "r");
    ; if (!isfile(badfile)) {
    ;;     printf("error(%d): %s\n", errno(badfile), strerror(badfile));
    ;; }
    error(2): No such file or directory
LIMITS
    none
LINK LIBRARY
    none
SEE ALSO
    errno, fclose, feof, ferror, fflush, fgetc, fgetline, fgets, files, fopen,
    fprintf, fputc, fputs, fseek, fsize, ftell, isfile, printf, prompt,
    fpathopen, strerror
## Copyright (C) 1999-2006  Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc 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 Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL.  You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: fopen,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/bin/calc/help/RCS/fopen,v $
##
## Under source code control:	1994/10/27 03:04:17
## File existed as early as:	1994
##
## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
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