Document MPFR/GMP additions to the extension API.

4 files changed, 992 insertions, 623 deletions

diff --git a/doc/ChangeLog b/doc/ChangeLog
index b7d06538..971d0027 100644
--- a/doc/ChangeLog
+++ b/doc/ChangeLog
@@ -1,3 +1,8 @@
+2017-08-13         Arnold D. Robbins     <arnold@skeeve.com>
+
+	* gawktexi.in: Update API chapter with info about additions
+	for accessing and/or creating MPZ and MPFR values.
+
 2017-08-04         Arnold D. Robbins     <arnold@skeeve.com>
 
 	* texinfo.tex: Updated.
diff --git a/doc/gawk.info b/doc/gawk.info
index 2c0f9493..4faa99c6 100644
--- a/doc/gawk.info
+++ b/doc/gawk.info
@@ -573,6 +573,8 @@ in (a) below.  A copy of the license is included in the section entitled
                                         redirections.
 * Extension API Variables::             Variables provided by the API.
 * Extension Versioning::                API Version information.
+* Extension GMP/MPFR Versioning::       Version information about GMP and
+                                        MPFR.
 * Extension API Informational Variables:: Variables providing information about
                                         'gawk''s invocation.
 * Extension API Boilerplate::           Boilerplate code for using the API.
@@ -23689,6 +23691,10 @@ operations:
      order to keep 'gawkapi.h' clean, instead of becoming a portability
      hodge-podge as can be seen in some parts of the 'gawk' source code.
 
+   * If your extension uses MPFR facilities, and you wish to receive
+     such values from 'gawk' and/or pass such values to it, you must
+     include the '<mpfr.h>' header before including '<gawkapi.h>'.
+
    * The 'gawkapi.h' file may be included more than once without ill
      effect.  Doing so, however, is poor coding practice.
 
@@ -23808,7 +23814,7 @@ use them.
 '    awk_valtype_t val_type;'
 '    union {'
 '        awk_string_t       s;'
-'        double             d;'
+'        awknum_t           n;'
 '        awk_array_t        a;'
 '        awk_scalar_t       scl;'
 '        awk_value_cookie_t vc;'
@@ -23821,13 +23827,36 @@ use them.
 '#define str_value      u.s'
 '#define strnum_value   str_value'
 '#define regex_value    str_value'
-'#define num_value      u.d'
+'#define num_value      u.n.d'
+'#define num_type       u.n.type'
+'#define num_ptr        u.n.ptr'
 '#define array_cookie   u.a'
 '#define scalar_cookie  u.scl'
 '#define value_cookie   u.vc'
      Using these macros makes accessing the fields of the 'awk_value_t'
      more readable.
 
+'typedef struct awk_number {'
+'    double d;'
+'    enum AWK_NUMBER_TYPE {'
+'        AWK_NUMBER_TYPE_DOUBLE,'
+'        AWK_NUMBER_TYPE_MPFR,'
+'        AWK_NUMBER_TYPE_MPZ'
+'    } type;'
+'    void *ptr;'
+'} awk_number_t;'
+     This represents a numeric value.  Internally, 'gawk' stores every
+     number as either a C 'double', a GMP integer, or an MPFR
+     arbitrary-precision floating-point value.  In order to allow
+     extensions to also support GMP and MPFR values, numeric values are
+     passed in this structure.
+
+     The double-precision 'd' element is always populated in data
+     received from 'gawk'.  In addition, by examining the 'type' member,
+     an extension can determine if the 'ptr' member is either a GMP
+     integer (type 'mpz_ptr'), or an MPFR floating-point value (type
+     'mpfr_ptr_t'), and cast it appropriately.
+
 'typedef void *awk_scalar_t;'
      Scalars can be represented as an opaque type.  These values are
      obtained from 'gawk' and then passed back into it.  This is
@@ -23991,6 +24020,28 @@ value:
      'gawk_malloc()'.  The arguments are the same as for the 'emalloc()'
      macro.
 
+   Two additional functions allocate MPFR and GMP objects for use by
+extension functions that need to create and then return such values:
+
+'void *get_mpfr_ptr();'
+     Allocate and initialize an MPFR object and return a pointer to it.
+     If the allocation fails, 'gawk' exits with a fatal "out of memory"
+     error.  If 'gawk' was compiled without MPFR support, calling this
+     function causes a fatal error.
+
+'void *get_mpz_ptr();'
+     Allocate and initialize a GMP object and return a pointer to it.
+     If the allocation fails, 'gawk' exits with a fatal "out of memory"
+     error.  If 'gawk' was compiled without MPFR support, calling this
+     function causes a fatal error.
+
+   Both of these functions return 'void *', since the 'gawkapi.h' header
+file should not have dependency upon '<mpfr.h>' (and '<gmp.h>', which is
+included from '<mpfr.h>').  The actual return values are of types
+'mpfr_ptr' and 'mpz_ptr' respectively, and you should cast the return
+values appropriately before assigning the results to variables of the
+correct types.
+
    ---------- Footnotes ----------
 
    (1) This is more common on MS-Windows systems, but it can happen on
@@ -24035,6 +24086,18 @@ code would use them:
      variable pointed to by 'result'.
 
 'static inline awk_value_t *'
+'make_number_mpz(void *mpz, awk_value_t *result);'
+     This function creates a GMP number value in 'result'.  The 'mpz'
+     must be from a call to 'get_mpz_ptr()' (and thus be or real
+     underlying type 'mpz_ptr').  'gawk' takes ownership of this memory.
+
+'static inline awk_value_t *'
+'make_number_mpfr(void *mpfr, awk_value_t *result);'
+     This function creates an MPFR number value in 'result'.  The 'mpfr'
+     must be from a call to 'get_mpfr_ptr()'.  (and thus be or real
+     underlying type 'mpfr_ptr') 'gawk' takes ownership of this memory.
+
+'static inline awk_value_t *'
 'make_const_user_input(const char *string, size_t length, awk_value_t *result);'
      This function is identical to 'make_const_string()', but the string
      is flagged as user input that should be treated as a strnum value
@@ -24508,10 +24571,10 @@ structure, which looks like this:
      provide the information for '$1', and so on through the
      'fields[nf-1]' element containing the information for '$NF'.
 
-   A convenience macro 'awk_fieldwidth_info_size(NF)' is provided to
-calculate the appropriate size of a variable-length
-'awk_fieldwidth_info_t' structure containing 'NF' fields.  This can be
-used as an argument to 'malloc()' or in a union to allocate space
+   A convenience macro 'awk_fieldwidth_info_size(numfields)' is provided
+to calculate the appropriate size of a variable-length
+'awk_fieldwidth_info_t' structure containing 'numfields' fields.  This
+can be used as an argument to 'malloc()' or in a union to allocate space
 statically.  Please refer to the 'readdir_test' sample extension for an
 example.
 
@@ -25047,7 +25110,8 @@ using 'release_value()'.
    ---------- Footnotes ----------
 
    (1) Numeric values are clearly less problematic, requiring only a C
-'double' to store.
+'double' to store.  But of course, GMP and MPFR values _do_ take up more
+memory.
 
 
 File: gawk.info,  Node: Array Manipulation,  Next: Redirection API,  Prev: Symbol Table Access,  Up: Extension API Description
@@ -25207,7 +25271,10 @@ The following functions relate to individual array elements:
      array, but after calling this function, it has no elements.  This
      is equivalent to using the 'delete' statement (*note Delete::).
 
-'awk_bool_t flatten_array_typed(awk_array_t a_cookie, awk_flat_array_t **data, awk_valtype_t index_type, awk_valtype_t value_type);'
+'awk_bool_t flatten_array_typed(awk_array_t a_cookie,'
+'                               awk_flat_array_t **data,'
+'                               awk_valtype_t index_type,'
+'                               awk_valtype_t value_type);'
      For the array represented by 'a_cookie', create an
      'awk_flat_array_t' structure and fill it in with indices and values
      of the requested types.  Set the pointer whose address is passed as
@@ -25323,7 +25390,8 @@ count of elements in the array and print it:
 double-check that the count in the 'awk_flat_array_t' is the same as the
 count just retrieved:
 
-         if (! flatten_array_typed(value2.array_cookie, & flat_array, AWK_STRING, AWK_UNDEFINED)) {
+         if (! flatten_array_typed(value2.array_cookie, & flat_array,
+                                   AWK_STRING, AWK_UNDEFINED)) {
              printf("dump_array_and_delete: could not flatten array\n");
              goto out;
          }
@@ -25582,13 +25650,14 @@ redirections.
      '"|&"'
           A two-way coprocess.
 
-     On error, return an 'awk_false' value.  Otherwise, return
-     'awk_true', and return additional information about the redirection
-     in the 'ibufp' and 'obufp' pointers.  For input redirections, the
-     '*ibufp' value should be non-'NULL', and '*obufp' should be 'NULL'.
-     For output redirections, the '*obufp' value should be non-'NULL',
-     and '*ibufp' should be 'NULL'.  For two-way coprocesses, both
-     values should be non-'NULL'.
+     On error, return 'awk_false'.  Otherwise, return 'awk_true', and
+     return additional information about the redirection in the 'ibufp'
+     and 'obufp' pointers.
+
+     For input redirections, the '*ibufp' value should be non-'NULL',
+     and '*obufp' should be 'NULL'.  For output redirections, the
+     '*obufp' value should be non-'NULL', and '*ibufp' should be 'NULL'.
+     For two-way coprocesses, both values should be non-'NULL'.
 
      In the usual case, the extension is interested in '(*ibufp)->fd'
      and/or 'fileno((*obufp)->fp)'.  If the file is not already open,
@@ -25624,12 +25693,13 @@ information about how 'gawk' was invoked.
 
 * Menu:
 
-* Extension Versioning::        API Version information.
+* Extension Versioning::          API Version information.
+* Extension GMP/MPFR Versioning:: Version information about GMP and MPFR.
 * Extension API Informational Variables:: Variables providing information about
-                                'gawk''s invocation.
+                                  'gawk''s invocation.
 
 
-File: gawk.info,  Node: Extension Versioning,  Next: Extension API Informational Variables,  Up: Extension API Variables
+File: gawk.info,  Node: Extension Versioning,  Next: Extension GMP/MPFR Versioning,  Up: Extension API Variables
 
 16.4.13.1 API Version Constants and Variables
 .............................................
@@ -25681,9 +25751,51 @@ provided in 'gawkapi.h' (discussed in *note Extension API
 Boilerplate::).
 
 
-File: gawk.info,  Node: Extension API Informational Variables,  Prev: Extension Versioning,  Up: Extension API Variables
+File: gawk.info,  Node: Extension GMP/MPFR Versioning,  Next: Extension API Informational Variables,  Prev: Extension Versioning,  Up: Extension API Variables
+
+16.4.13.2 GMP and MPFR Version Information
+..........................................
+
+The API also includes information about the versions of GMP and MPFR
+with which the running 'gawk' was compiled (if any).  They are included
+in the API 'struct' as read-only constant integers:
+
+'api->gmp_major_version'
+     The major version of the GMP library used to compile 'gawk'.
+
+'api->gmp_minor_version'
+     The minor version of the GMP library used to compile 'gawk'.
+
+'api->mpfr_major_version'
+     The major version of the MPFR library used to compile 'gawk'.
+
+'api->mpfr_minor_version'
+     The minor version of the MPFR library used to compile 'gawk'.
+
+   These fields are set to zero if 'gawk' was compiled without MPFR
+support.
+
+   You can check if the versions of MPFR and GMP that you are using
+match those of 'gawk' with the following macro:
+
+'check_mpfr_version(extension)'
+     The 'extension' is the extension id passed to all the other macros
+     and functions defined in 'gawkapi.h'.  If you have not included the
+     '<mpfr.h>' header file, then this macro will be defined to do
+     nothing.
+
+     If you have included that file, then this macro compares the MPFR
+     and GMP major and minor versions against those of the library you
+     are compiling against.  If your libraries are newer than 'gawk''s,
+     it produces a fatal error message.
+
+     The 'dl_load_func()' macro (*note Extension API Boilerplate::)
+     calls 'check_mpfr_version()'.
+
+
+File: gawk.info,  Node: Extension API Informational Variables,  Prev: Extension GMP/MPFR Versioning,  Up: Extension API Variables
 
-16.4.13.2 Informational Variables
+16.4.13.3 Informational Variables
 .................................
 
 The API provides access to several variables that describe whether the
@@ -25807,13 +25919,16 @@ does the following:
      match 'gawk''s, or if the extension minor version is greater than
      'gawk''s, it prints a fatal error message and exits.
 
-  2. Load the functions defined in 'func_table'.  If any of them fails
+  2. Check the MPFR and GMP versions.  If there is a mismatch, it prints
+     a fatal error message and exits.
+
+  3. Load the functions defined in 'func_table'.  If any of them fails
      to load, it prints a warning message but continues on.
 
-  3. If the 'init_func' pointer is not 'NULL', call the function it
+  4. If the 'init_func' pointer is not 'NULL', call the function it
      points to.  If it returns 'awk_false', print a warning message.
 
-  4. If 'ext_version' is not 'NULL', register the version string with
+  5. If 'ext_version' is not 'NULL', register the version string with
      'gawk'.
 
 
@@ -35682,580 +35797,581 @@ Index
 
 Tag Table:
 Node: Top1200
-Node: Foreword343279
-Node: Foreword447721
-Node: Preface49253
-Ref: Preface-Footnote-152112
-Ref: Preface-Footnote-252219
-Ref: Preface-Footnote-352453
-Node: History52595
-Node: Names54947
-Ref: Names-Footnote-156041
-Node: This Manual56188
-Ref: This Manual-Footnote-162673
-Node: Conventions62773
-Node: Manual History65127
-Ref: Manual History-Footnote-168122
-Ref: Manual History-Footnote-268163
-Node: How To Contribute68237
-Node: Acknowledgments68888
-Node: Getting Started73774
-Node: Running gawk76213
-Node: One-shot77403
-Node: Read Terminal78666
-Node: Long80659
-Node: Executable Scripts82172
-Ref: Executable Scripts-Footnote-184967
-Node: Comments85070
-Node: Quoting87554
-Node: DOS Quoting93071
-Node: Sample Data Files95127
-Node: Very Simple97722
-Node: Two Rules102624
-Node: More Complex104509
-Node: Statements/Lines107375
-Ref: Statements/Lines-Footnote-1111834
-Node: Other Features112099
-Node: When113035
-Ref: When-Footnote-1114789
-Node: Intro Summary114854
-Node: Invoking Gawk115738
-Node: Command Line117252
-Node: Options118050
-Ref: Options-Footnote-1134669
-Ref: Options-Footnote-2134899
-Node: Other Arguments134924
-Node: Naming Standard Input137871
-Node: Environment Variables138964
-Node: AWKPATH Variable139522
-Ref: AWKPATH Variable-Footnote-1142933
-Ref: AWKPATH Variable-Footnote-2142967
-Node: AWKLIBPATH Variable143228
-Node: Other Environment Variables144485
-Node: Exit Status148306
-Node: Include Files148983
-Node: Loading Shared Libraries152578
-Node: Obsolete154006
-Node: Undocumented154698
-Node: Invoking Summary154995
-Node: Regexp156655
-Node: Regexp Usage158109
-Node: Escape Sequences160146
-Node: Regexp Operators166378
-Ref: Regexp Operators-Footnote-1173794
-Ref: Regexp Operators-Footnote-2173941
-Node: Bracket Expressions174039
-Ref: table-char-classes176515
-Node: Leftmost Longest179652
-Node: Computed Regexps180955
-Node: GNU Regexp Operators184382
-Node: Case-sensitivity188061
-Ref: Case-sensitivity-Footnote-1190948
-Ref: Case-sensitivity-Footnote-2191183
-Node: Regexp Summary191291
-Node: Reading Files192757
-Node: Records195026
-Node: awk split records195759
-Node: gawk split records200690
-Ref: gawk split records-Footnote-1205230
-Node: Fields205267
-Node: Nonconstant Fields208008
-Ref: Nonconstant Fields-Footnote-1210244
-Node: Changing Fields210448
-Node: Field Separators216376
-Node: Default Field Splitting219074
-Node: Regexp Field Splitting220192
-Node: Single Character Fields223545
-Node: Command Line Field Separator224605
-Node: Full Line Fields227823
-Ref: Full Line Fields-Footnote-1229345
-Ref: Full Line Fields-Footnote-2229391
-Node: Field Splitting Summary229492
-Node: Constant Size231566
-Node: Fixed width data232298
-Node: Skipping intervening235765
-Node: Allowing trailing data236563
-Node: Fields with fixed data237600
-Node: Splitting By Content239118
-Ref: Splitting By Content-Footnote-1242768
-Node: Testing field creation242931
-Node: Multiple Line244552
-Ref: Multiple Line-Footnote-1250436
-Node: Getline250615
-Node: Plain Getline253084
-Node: Getline/Variable255725
-Node: Getline/File256876
-Node: Getline/Variable/File258264
-Ref: Getline/Variable/File-Footnote-1259869
-Node: Getline/Pipe259957
-Node: Getline/Variable/Pipe262664
-Node: Getline/Coprocess263799
-Node: Getline/Variable/Coprocess265066
-Node: Getline Notes265808
-Node: Getline Summary268605
-Ref: table-getline-variants269029
-Node: Read Timeout269777
-Ref: Read Timeout-Footnote-1273683
-Node: Retrying Input273741
-Node: Command-line directories274940
-Node: Input Summary275846
-Node: Input Exercises279018
-Node: Printing279746
-Node: Print281580
-Node: Print Examples283037
-Node: Output Separators285817
-Node: OFMT287834
-Node: Printf289190
-Node: Basic Printf289975
-Node: Control Letters291549
-Node: Format Modifiers295537
-Node: Printf Examples301552
-Node: Redirection304038
-Node: Special FD310879
-Ref: Special FD-Footnote-1314047
-Node: Special Files314121
-Node: Other Inherited Files314738
-Node: Special Network315739
-Node: Special Caveats316599
-Node: Close Files And Pipes317548
-Ref: table-close-pipe-return-values324455
-Ref: Close Files And Pipes-Footnote-1325238
-Ref: Close Files And Pipes-Footnote-2325386
-Node: Nonfatal325538
-Node: Output Summary327863
-Node: Output Exercises329085
-Node: Expressions329764
-Node: Values330952
-Node: Constants331630
-Node: Scalar Constants332321
-Ref: Scalar Constants-Footnote-1333185
-Node: Nondecimal-numbers333435
-Node: Regexp Constants336436
-Node: Using Constant Regexps336962
-Node: Standard Regexp Constants337584
-Node: Strong Regexp Constants340772
-Node: Variables343730
-Node: Using Variables344387
-Node: Assignment Options346297
-Node: Conversion348170
-Node: Strings And Numbers348694
-Ref: Strings And Numbers-Footnote-1351757
-Node: Locale influences conversions351866
-Ref: table-locale-affects354624
-Node: All Operators355242
-Node: Arithmetic Ops355871
-Node: Concatenation358377
-Ref: Concatenation-Footnote-1361224
-Node: Assignment Ops361331
-Ref: table-assign-ops366322
-Node: Increment Ops367635
-Node: Truth Values and Conditions371095
-Node: Truth Values372169
-Node: Typing and Comparison373217
-Node: Variable Typing374037
-Ref: Variable Typing-Footnote-1380500
-Ref: Variable Typing-Footnote-2380572
-Node: Comparison Operators380649
-Ref: table-relational-ops381068
-Node: POSIX String Comparison384563
-Ref: POSIX String Comparison-Footnote-1386258
-Ref: POSIX String Comparison-Footnote-2386397
-Node: Boolean Ops386481
-Ref: Boolean Ops-Footnote-1390963
-Node: Conditional Exp391055
-Node: Function Calls392791
-Node: Precedence396668
-Node: Locales400327
-Node: Expressions Summary401959
-Node: Patterns and Actions404532
-Node: Pattern Overview405652
-Node: Regexp Patterns407329
-Node: Expression Patterns407871
-Node: Ranges411652
-Node: BEGIN/END414760
-Node: Using BEGIN/END415521
-Ref: Using BEGIN/END-Footnote-1418257
-Node: I/O And BEGIN/END418363
-Node: BEGINFILE/ENDFILE420677
-Node: Empty423584
-Node: Using Shell Variables423901
-Node: Action Overview426175
-Node: Statements428500
-Node: If Statement430348
-Node: While Statement431843
-Node: Do Statement433871
-Node: For Statement435019
-Node: Switch Statement438177
-Node: Break Statement440563
-Node: Continue Statement442655
-Node: Next Statement444482
-Node: Nextfile Statement446865
-Node: Exit Statement449517
-Node: Built-in Variables451920
-Node: User-modified453053
-Node: Auto-set460820
-Ref: Auto-set-Footnote-1476417
-Ref: Auto-set-Footnote-2476623
-Node: ARGC and ARGV476679
-Node: Pattern Action Summary480892
-Node: Arrays483322
-Node: Array Basics484651
-Node: Array Intro485495
-Ref: figure-array-elements487470
-Ref: Array Intro-Footnote-1490174
-Node: Reference to Elements490302
-Node: Assigning Elements492766
-Node: Array Example493257
-Node: Scanning an Array495016
-Node: Controlling Scanning498038
-Ref: Controlling Scanning-Footnote-1503437
-Node: Numeric Array Subscripts503753
-Node: Uninitialized Subscripts505937
-Node: Delete507556
-Ref: Delete-Footnote-1510308
-Node: Multidimensional510365
-Node: Multiscanning513460
-Node: Arrays of Arrays515051
-Node: Arrays Summary519818
-Node: Functions521911
-Node: Built-in522949
-Node: Calling Built-in524030
-Node: Numeric Functions526026
-Ref: Numeric Functions-Footnote-1530054
-Ref: Numeric Functions-Footnote-2530411
-Ref: Numeric Functions-Footnote-3530459
-Node: String Functions530731
-Ref: String Functions-Footnote-1554389
-Ref: String Functions-Footnote-2554517
-Ref: String Functions-Footnote-3554765
-Node: Gory Details554852
-Ref: table-sub-escapes556643
-Ref: table-sub-proposed558162
-Ref: table-posix-sub559525
-Ref: table-gensub-escapes561066
-Ref: Gory Details-Footnote-1561889
-Node: I/O Functions562043
-Ref: table-system-return-values568625
-Ref: I/O Functions-Footnote-1570605
-Ref: I/O Functions-Footnote-2570753
-Node: Time Functions570873
-Ref: Time Functions-Footnote-1581540
-Ref: Time Functions-Footnote-2581608
-Ref: Time Functions-Footnote-3581766
-Ref: Time Functions-Footnote-4581877
-Ref: Time Functions-Footnote-5581989
-Ref: Time Functions-Footnote-6582216
-Node: Bitwise Functions582482
-Ref: table-bitwise-ops583076
-Ref: Bitwise Functions-Footnote-1589109
-Ref: Bitwise Functions-Footnote-2589282
-Node: Type Functions589473
-Node: I18N Functions592390
-Node: User-defined594041
-Node: Definition Syntax594846
-Ref: Definition Syntax-Footnote-1600533
-Node: Function Example600604
-Ref: Function Example-Footnote-1603526
-Node: Function Caveats603548
-Node: Calling A Function604066
-Node: Variable Scope605024
-Node: Pass By Value/Reference608018
-Node: Return Statement611517
-Node: Dynamic Typing614496
-Node: Indirect Calls615426
-Ref: Indirect Calls-Footnote-1625677
-Node: Functions Summary625805
-Node: Library Functions628510
-Ref: Library Functions-Footnote-1632117
-Ref: Library Functions-Footnote-2632260
-Node: Library Names632431
-Ref: Library Names-Footnote-1635891
-Ref: Library Names-Footnote-2636114
-Node: General Functions636200
-Node: Strtonum Function637303
-Node: Assert Function640325
-Node: Round Function643651
-Node: Cliff Random Function645192
-Node: Ordinal Functions646208
-Ref: Ordinal Functions-Footnote-1649271
-Ref: Ordinal Functions-Footnote-2649523
-Node: Join Function649733
-Ref: Join Function-Footnote-1651503
-Node: Getlocaltime Function651703
-Node: Readfile Function655445
-Node: Shell Quoting657417
-Node: Data File Management658818
-Node: Filetrans Function659450
-Node: Rewind Function663546
-Node: File Checking665456
-Ref: File Checking-Footnote-1666790
-Node: Empty Files666991
-Node: Ignoring Assigns668970
-Node: Getopt Function670520
-Ref: Getopt Function-Footnote-1681989
-Node: Passwd Functions682189
-Ref: Passwd Functions-Footnote-1691028
-Node: Group Functions691116
-Ref: Group Functions-Footnote-1699014
-Node: Walking Arrays699221
-Node: Library Functions Summary702229
-Node: Library Exercises703635
-Node: Sample Programs704100
-Node: Running Examples704870
-Node: Clones705598
-Node: Cut Program706822
-Node: Egrep Program716751
-Ref: Egrep Program-Footnote-1724263
-Node: Id Program724373
-Node: Split Program728053
-Ref: Split Program-Footnote-1731512
-Node: Tee Program731641
-Node: Uniq Program734431
-Node: Wc Program741857
-Ref: Wc Program-Footnote-1746112
-Node: Miscellaneous Programs746206
-Node: Dupword Program747419
-Node: Alarm Program749449
-Node: Translate Program754304
-Ref: Translate Program-Footnote-1758869
-Node: Labels Program759139
-Ref: Labels Program-Footnote-1762490
-Node: Word Sorting762574
-Node: History Sorting766646
-Node: Extract Program768481
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+Node: Requesting Values1010522
+Ref: table-value-types-returned1011259
+Node: Accessing Parameters1012195
+Node: Symbol Table Access1013430
+Node: Symbol table by name1013942
+Node: Symbol table by cookie1015731
+Ref: Symbol table by cookie-Footnote-11019916
+Node: Cached values1019980
+Ref: Cached values-Footnote-11023516
+Node: Array Manipulation1023669
+Ref: Array Manipulation-Footnote-11024760
+Node: Array Data Types1024797
+Ref: Array Data Types-Footnote-11027455
+Node: Array Functions1027547
+Node: Flattening Arrays1032045
+Node: Creating Arrays1039021
+Node: Redirection API1043790
+Node: Extension API Variables1046623
+Node: Extension Versioning1047334
+Ref: gawk-api-version1047763
+Node: Extension GMP/MPFR Versioning1049491
+Node: Extension API Informational Variables1051119
+Node: Extension API Boilerplate1052192
+Node: Changes from API V11056166
+Node: Finding Extensions1056826
+Node: Extension Example1057385
+Node: Internal File Description1058183
+Node: Internal File Ops1062263
+Ref: Internal File Ops-Footnote-11073663
+Node: Using Internal File Ops1073803
+Ref: Using Internal File Ops-Footnote-11076186
+Node: Extension Samples1076460
+Node: Extension Sample File Functions1077989
+Node: Extension Sample Fnmatch1085638
+Node: Extension Sample Fork1087125
+Node: Extension Sample Inplace1088343
+Node: Extension Sample Ord1091560
+Node: Extension Sample Readdir1092396
+Ref: table-readdir-file-types1093285
+Node: Extension Sample Revout1094090
+Node: Extension Sample Rev2way1094679
+Node: Extension Sample Read write array1095419
+Node: Extension Sample Readfile1097361
+Node: Extension Sample Time1098456
+Node: Extension Sample API Tests1099804
+Node: gawkextlib1100296
+Node: Extension summary1102743
+Node: Extension Exercises1106445
+Node: Language History1107943
+Node: V7/SVR3.11109599
+Node: SVR41111751
+Node: POSIX1113185
+Node: BTL1114564
+Node: POSIX/GNU1115293
+Node: Feature History1121071
+Node: Common Extensions1135436
+Node: Ranges and Locales1136719
+Ref: Ranges and Locales-Footnote-11141335
+Ref: Ranges and Locales-Footnote-21141362
+Ref: Ranges and Locales-Footnote-31141597
+Node: Contributors1141818
+Node: History summary1147446
+Node: Installation1148826
+Node: Gawk Distribution1149770
+Node: Getting1150254
+Node: Extracting1151215
+Node: Distribution contents1152853
+Node: Unix Installation1159195
+Node: Quick Installation1159877
+Node: Shell Startup Files1162291
+Node: Additional Configuration Options1163380
+Node: Configuration Philosophy1165369
+Node: Non-Unix Installation1167738
+Node: PC Installation1168198
+Node: PC Binary Installation1169036
+Node: PC Compiling1169471
+Node: PC Using1170588
+Node: Cygwin1173633
+Node: MSYS1174403
+Node: VMS Installation1174904
+Node: VMS Compilation1175695
+Ref: VMS Compilation-Footnote-11176924
+Node: VMS Dynamic Extensions1176982
+Node: VMS Installation Details1178667
+Node: VMS Running1180920
+Node: VMS GNV1185199
+Node: VMS Old Gawk1185934
+Node: Bugs1186405
+Node: Bug address1187068
+Node: Usenet1189465
+Node: Maintainers1190242
+Node: Other Versions1191503
+Node: Installation summary1198087
+Node: Notes1199122
+Node: Compatibility Mode1199987
+Node: Additions1200769
+Node: Accessing The Source1201694
+Node: Adding Code1203129
+Node: New Ports1209347
+Node: Derived Files1213835
+Ref: Derived Files-Footnote-11219320
+Ref: Derived Files-Footnote-21219355
+Ref: Derived Files-Footnote-31219953
+Node: Future Extensions1220067
+Node: Implementation Limitations1220725
+Node: Extension Design1221908
+Node: Old Extension Problems1223062
+Ref: Old Extension Problems-Footnote-11224580
+Node: Extension New Mechanism Goals1224637
+Ref: Extension New Mechanism Goals-Footnote-11228001
+Node: Extension Other Design Decisions1228190
+Node: Extension Future Growth1230303
+Node: Old Extension Mechanism1231139
+Node: Notes summary1232902
+Node: Basic Concepts1234084
+Node: Basic High Level1234765
+Ref: figure-general-flow1235047
+Ref: figure-process-flow1235732
+Ref: Basic High Level-Footnote-11239033
+Node: Basic Data Typing1239218
+Node: Glossary1242546
+Node: Copying1274493
+Node: GNU Free Documentation License1312032
+Node: Index1337150
 
 End Tag Table
diff --git a/doc/gawk.texi b/doc/gawk.texi
index 3fa98afd..e44abad5 100644
--- a/doc/gawk.texi
+++ b/doc/gawk.texi
@@ -945,6 +945,8 @@ particular records in a file and perform operations upon them.
                                         redirections.
 * Extension API Variables::             Variables provided by the API.
 * Extension Versioning::                API Version information.
+* Extension GMP/MPFR Versioning::       Version information about GMP and
+                                        MPFR.
 * Extension API Informational Variables:: Variables providing information about
                                         @command{gawk}'s invocation.
 * Extension API Boilerplate::           Boilerplate code for using the API.
@@ -32708,6 +32710,11 @@ a portability hodge-podge as can be seen in some parts of
 the @command{gawk} source code.
 
 @item
+If your extension uses MPFR facilities, and you wish to receive such
+values from @command{gawk} and/or pass such values to it, you must include the
+@code{<mpfr.h>} header before including @code{<gawkapi.h>}.
+
+@item
 The @file{gawkapi.h} file may be included more than once without ill effect.
 Doing so, however, is poor coding practice.
 
@@ -32845,7 +32852,7 @@ It is used in the following @code{struct}.
 @itemx @ @ @ @ awk_valtype_t   val_type;
 @itemx @ @ @ @ union @{
 @itemx @ @ @ @ @ @ @ @ awk_string_t@ @ @ @ @ @ @ s;
-@itemx @ @ @ @ @ @ @ @ double@ @ @ @ @ @ @ @ @ @ @ @ @ d;
+@itemx @ @ @ @ @ @ @ @ awknum_t@ @ @ @ @ @ @ @ @ @ @ n;
 @itemx @ @ @ @ @ @ @ @ awk_array_t@ @ @ @ @ @ @ @ a;
 @itemx @ @ @ @ @ @ @ @ awk_scalar_t@ @ @ @ @ @ @ scl;
 @itemx @ @ @ @ @ @ @ @ awk_value_cookie_t@ vc;
@@ -32858,13 +32865,37 @@ The @code{val_type} member indicates what kind of value the
 @item #define str_value@ @ @ @ @ @ u.s
 @itemx #define strnum_value@ @ @ str_value
 @itemx #define regex_value@ @ @ @ str_value
-@itemx #define num_value@ @ @ @ @ @ u.d
+@itemx #define num_value@ @ @ @ @ @ u.n.d
+@itemx #define num_type@ @ @ @ @ @ @ u.n.type
+@itemx #define num_ptr@ @ @ @ @ @ @ @ u.n.ptr
 @itemx #define array_cookie@ @ @ u.a
 @itemx #define scalar_cookie@ @ u.scl
 @itemx #define value_cookie@ @ @ u.vc
 Using these macros makes accessing the fields of the @code{awk_value_t} more
 readable.
 
+@item typedef struct awk_number @{
+@itemx @ @ @ @ double d;
+@itemx @ @ @ @ enum AWK_NUMBER_TYPE @{
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_DOUBLE,
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_MPFR,
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_MPZ
+@itemx @ @ @ @ @} type;
+@itemx @ @ @ @ void *ptr;
+@itemx @} awk_number_t;
+This represents a numeric value.  Internally, @command{gawk} stores
+every number as either a C @code{double}, a GMP integer, or an MPFR
+arbitrary-precision floating-point value.  In order to allow extensions
+to also support GMP and MPFR values, numeric values are passed in this
+structure.
+
+The double-precision @code{d} element is always populated
+in data received from @command{gawk}. In addition, by examining the
+@code{type} member, an extension can determine if the @code{ptr}
+member is either a GMP integer (type @code{mpz_ptr}), or an MPFR
+floating-point value (type @code{mpfr_ptr_t}), and cast it appropriately.
+
+
 @item typedef void *awk_scalar_t;
 Scalars can be represented as an opaque type. These values are obtained
 from @command{gawk} and then passed back into it. This is discussed
@@ -33045,6 +33076,31 @@ instead of @code{gawk_malloc()}.
 The arguments are the same as for the @code{emalloc()} macro.
 @end table
 
+Two additional functions allocate MPFR and GMP objects for use
+by extension functions that need to create and then return such
+values:
+
+@table @code
+@item void *get_mpfr_ptr();
+Allocate and initialize an MPFR object and return a pointer to it.
+If the allocation fails, @command{gawk} exits with a fatal
+``out of memory'' error.  If @command{gawk} was compiled without
+MPFR support, calling this function causes a fatal error.
+
+@item void *get_mpz_ptr();
+Allocate and initialize a GMP object and return a pointer to it.
+If the allocation fails, @command{gawk} exits with a fatal
+``out of memory'' error.  If @command{gawk} was compiled without
+MPFR support, calling this function causes a fatal error.
+@end table
+
+Both of these functions return @samp{void *}, since the @file{gawkapi.h}
+header file should not have dependency upon @code{<mpfr.h>} (and @code{<gmp.h>},
+which is included from @code{<mpfr.h>}).  The actual return values are of
+types @code{mpfr_ptr} and @code{mpz_ptr} respectively, and you should cast
+the return values appropriately before assigning the results to variables
+of the correct types.
+
 @node Constructor Functions
 @subsection Constructor Functions
 
@@ -33081,6 +33137,20 @@ This function simply creates a numeric value in the @code{awk_value_t} variable
 pointed to by @code{result}.
 
 @item static inline awk_value_t *
+@itemx make_number_mpz(void *mpz, awk_value_t *result);
+This function creates a GMP number value in @code{result}.
+The @code{mpz} must be from a call to @code{get_mpz_ptr()}
+(and thus be or real underlying type @code{mpz_ptr}).
+@command{gawk} takes ownership of this memory.
+
+@item static inline awk_value_t *
+@itemx make_number_mpfr(void *mpfr, awk_value_t *result);
+This function creates an MPFR number value in @code{result}.
+The @code{mpfr} must be from a call to @code{get_mpfr_ptr()}.
+(and thus be or real underlying type @code{mpfr_ptr})
+@command{gawk} takes ownership of this memory.
+
+@item static inline awk_value_t *
 @itemx make_const_user_input(const char *string, size_t length, awk_value_t *result);
 This function is identical to @code{make_const_string()}, but the string is
 flagged as user input that should be treated as a strnum value if the contents
@@ -33598,9 +33668,9 @@ the length of the field. The values in @code{fields[0]} provide the information
 for @code{$1}, and so on through the @code{fields[nf-1]} element containing the information for @code{$NF}.
 @end table
 
-A convenience macro @code{awk_fieldwidth_info_size(NF)} is provided to
+A convenience macro @code{awk_fieldwidth_info_size(numfields)} is provided to
 calculate the appropriate size of a variable-length 
-@code{awk_fieldwidth_info_t} structure containing @code{NF} fields. This can
+@code{awk_fieldwidth_info_t} structure containing @code{numfields} fields. This can
 be used as an argument to @code{malloc()} or in a union to allocate space
 statically. Please refer to the @code{readdir_test} sample extension for an
 example.
@@ -34217,7 +34287,8 @@ However, you can understand the point of cached values if you remember that
 @code{gawk_calloc()}, or @code{gawk_realloc()}.
 If you have 20 variables, all of which have the same string value, you
 must create 20 identical copies of the string.@footnote{Numeric values
-are clearly less problematic, requiring only a C @code{double} to store.}
+are clearly less problematic, requiring only a C @code{double} to store.
+But of course, GMP and MPFR values @emph{do} take up more memory.}
 
 It is clearly more efficient, if possible, to create a value once, and
 then tell @command{gawk} to reuse the value for multiple variables. That
@@ -34452,7 +34523,10 @@ The array remains an array, but after calling this function, it
 has no elements. This is equivalent to using the @code{delete}
 statement (@pxref{Delete}).
 
-@item awk_bool_t flatten_array_typed(awk_array_t a_cookie, awk_flat_array_t **data, awk_valtype_t index_type, awk_valtype_t value_type);
+@item awk_bool_t flatten_array_typed(awk_array_t a_cookie,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_flat_array_t **data,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_valtype_t index_type,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_valtype_t value_type);
 For the array represented by @code{a_cookie}, create an @code{awk_flat_array_t}
 structure and fill it in with indices and values of the requested types.
 Set the pointer whose address is passed as @code{data}
@@ -34587,7 +34661,8 @@ to double-check that the count in the @code{awk_flat_array_t}
 is the same as the count just retrieved:
 
 @example
-    if (! flatten_array_typed(value2.array_cookie, & flat_array, AWK_STRING, AWK_UNDEFINED)) @{
+    if (! flatten_array_typed(value2.array_cookie, & flat_array,
+                              AWK_STRING, AWK_UNDEFINED)) @{
         printf("dump_array_and_delete: could not flatten array\n");
         goto out;
     @}
@@ -34922,10 +34997,11 @@ A pipe opened for input.
 A two-way coprocess.
 @end table
 
-On error, return an @code{awk_false} value.  Otherwise, return
+On error, return @code{awk_false}.  Otherwise, return
 @code{awk_true}, and return additional information about the redirection
-in the @code{ibufp} and @code{obufp} pointers.  For input
-redirections, the @code{*ibufp} value should be non-@code{NULL},
+in the @code{ibufp} and @code{obufp} pointers.
+
+For input redirections, the @code{*ibufp} value should be non-@code{NULL},
 and @code{*obufp} should be @code{NULL}.  For output redirections,
 the @code{*obufp} value should be non-@code{NULL}, and @code{*ibufp}
 should be @code{NULL}.  For two-way coprocesses, both values should
@@ -34961,9 +35037,10 @@ and with which @command{gawk} was compiled).  The second provides
 information about how @command{gawk} was invoked.
 
 @menu
-* Extension Versioning::        API Version information.
+* Extension Versioning::          API Version information.
+* Extension GMP/MPFR Versioning:: Version information about GMP and MPFR.
 * Extension API Informational Variables:: Variables providing information about
-                                @command{gawk}'s invocation.
+                                  @command{gawk}'s invocation.
 @end menu
 
 @node Extension Versioning
@@ -35024,6 +35101,49 @@ Such code is included in the boilerplate @code{dl_load_func()} macro
 provided in @file{gawkapi.h} (discussed in
 @ref{Extension API Boilerplate}).
 
+@node Extension GMP/MPFR Versioning
+@subsubsection GMP and MPFR Version Information
+
+The API also includes information about the versions of GMP and MPFR
+with which the running @command{gawk} was compiled (if any).
+They are included in the API @code{struct} as read-only
+constant integers:
+
+@table @code
+@item api->gmp_major_version
+The major version of the GMP library used to compile @command{gawk}.
+
+@item api->gmp_minor_version
+The minor version of the GMP library used to compile @command{gawk}.
+
+@item api->mpfr_major_version
+The major version of the MPFR library used to compile @command{gawk}.
+
+@item api->mpfr_minor_version
+The minor version of the MPFR library used to compile @command{gawk}.
+@end table
+
+These fields are set to zero if @command{gawk} was compiled without
+MPFR support.
+
+You can check if the versions of MPFR and GMP that you are using match those
+of @command{gawk} with the following macro:
+
+@table @code
+@item check_mpfr_version(extension)
+The @code{extension} is the extension id passed to all the other macros
+and functions defined in @file{gawkapi.h}.  If you have not included
+the @code{<mpfr.h>} header file, then this macro will be defined to do nothing.
+
+If you have included that file, then this macro compares the MPFR
+and GMP major and minor versions against those of the library you are
+compiling against.  If your libraries are newer than @command{gawk}'s, it
+produces a fatal error message.
+
+The @code{dl_load_func()} macro (@pxref{Extension API Boilerplate})
+calls @code{check_mpfr_version()}.
+@end table
+
 @node Extension API Informational Variables
 @subsubsection Informational Variables
 @cindex API informational variables
@@ -35163,6 +35283,10 @@ Check the API versions. If the extension major version does not match
 @command{gawk}'s, it prints a fatal error message and exits.
 
 @item
+Check the MPFR and GMP versions. If there is a mismatch, it prints
+a fatal error message and exits.
+
+@item
 Load the functions defined in @code{func_table}.
 If any of them fails to load, it prints a warning message but
 continues on.
diff --git a/doc/gawktexi.in b/doc/gawktexi.in
index 5b6d56bf..8ad4c72e 100644
--- a/doc/gawktexi.in
+++ b/doc/gawktexi.in
@@ -940,6 +940,8 @@ particular records in a file and perform operations upon them.
                                         redirections.
 * Extension API Variables::             Variables provided by the API.
 * Extension Versioning::                API Version information.
+* Extension GMP/MPFR Versioning::       Version information about GMP and
+                                        MPFR.
 * Extension API Informational Variables:: Variables providing information about
                                         @command{gawk}'s invocation.
 * Extension API Boilerplate::           Boilerplate code for using the API.
@@ -31722,6 +31724,11 @@ a portability hodge-podge as can be seen in some parts of
 the @command{gawk} source code.
 
 @item
+If your extension uses MPFR facilities, and you wish to receive such
+values from @command{gawk} and/or pass such values to it, you must include the
+@code{<mpfr.h>} header before including @code{<gawkapi.h>}.
+
+@item
 The @file{gawkapi.h} file may be included more than once without ill effect.
 Doing so, however, is poor coding practice.
 
@@ -31859,7 +31866,7 @@ It is used in the following @code{struct}.
 @itemx @ @ @ @ awk_valtype_t   val_type;
 @itemx @ @ @ @ union @{
 @itemx @ @ @ @ @ @ @ @ awk_string_t@ @ @ @ @ @ @ s;
-@itemx @ @ @ @ @ @ @ @ double@ @ @ @ @ @ @ @ @ @ @ @ @ d;
+@itemx @ @ @ @ @ @ @ @ awknum_t@ @ @ @ @ @ @ @ @ @ @ n;
 @itemx @ @ @ @ @ @ @ @ awk_array_t@ @ @ @ @ @ @ @ a;
 @itemx @ @ @ @ @ @ @ @ awk_scalar_t@ @ @ @ @ @ @ scl;
 @itemx @ @ @ @ @ @ @ @ awk_value_cookie_t@ vc;
@@ -31872,13 +31879,37 @@ The @code{val_type} member indicates what kind of value the
 @item #define str_value@ @ @ @ @ @ u.s
 @itemx #define strnum_value@ @ @ str_value
 @itemx #define regex_value@ @ @ @ str_value
-@itemx #define num_value@ @ @ @ @ @ u.d
+@itemx #define num_value@ @ @ @ @ @ u.n.d
+@itemx #define num_type@ @ @ @ @ @ @ u.n.type
+@itemx #define num_ptr@ @ @ @ @ @ @ @ u.n.ptr
 @itemx #define array_cookie@ @ @ u.a
 @itemx #define scalar_cookie@ @ u.scl
 @itemx #define value_cookie@ @ @ u.vc
 Using these macros makes accessing the fields of the @code{awk_value_t} more
 readable.
 
+@item typedef struct awk_number @{
+@itemx @ @ @ @ double d;
+@itemx @ @ @ @ enum AWK_NUMBER_TYPE @{
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_DOUBLE,
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_MPFR,
+@itemx @ @ @ @ @ @ @ @ AWK_NUMBER_TYPE_MPZ
+@itemx @ @ @ @ @} type;
+@itemx @ @ @ @ void *ptr;
+@itemx @} awk_number_t;
+This represents a numeric value.  Internally, @command{gawk} stores
+every number as either a C @code{double}, a GMP integer, or an MPFR
+arbitrary-precision floating-point value.  In order to allow extensions
+to also support GMP and MPFR values, numeric values are passed in this
+structure.
+
+The double-precision @code{d} element is always populated
+in data received from @command{gawk}. In addition, by examining the
+@code{type} member, an extension can determine if the @code{ptr}
+member is either a GMP integer (type @code{mpz_ptr}), or an MPFR
+floating-point value (type @code{mpfr_ptr_t}), and cast it appropriately.
+
+
 @item typedef void *awk_scalar_t;
 Scalars can be represented as an opaque type. These values are obtained
 from @command{gawk} and then passed back into it. This is discussed
@@ -32059,6 +32090,31 @@ instead of @code{gawk_malloc()}.
 The arguments are the same as for the @code{emalloc()} macro.
 @end table
 
+Two additional functions allocate MPFR and GMP objects for use
+by extension functions that need to create and then return such
+values:
+
+@table @code
+@item void *get_mpfr_ptr();
+Allocate and initialize an MPFR object and return a pointer to it.
+If the allocation fails, @command{gawk} exits with a fatal
+``out of memory'' error.  If @command{gawk} was compiled without
+MPFR support, calling this function causes a fatal error.
+
+@item void *get_mpz_ptr();
+Allocate and initialize a GMP object and return a pointer to it.
+If the allocation fails, @command{gawk} exits with a fatal
+``out of memory'' error.  If @command{gawk} was compiled without
+MPFR support, calling this function causes a fatal error.
+@end table
+
+Both of these functions return @samp{void *}, since the @file{gawkapi.h}
+header file should not have dependency upon @code{<mpfr.h>} (and @code{<gmp.h>},
+which is included from @code{<mpfr.h>}).  The actual return values are of
+types @code{mpfr_ptr} and @code{mpz_ptr} respectively, and you should cast
+the return values appropriately before assigning the results to variables
+of the correct types.
+
 @node Constructor Functions
 @subsection Constructor Functions
 
@@ -32095,6 +32151,20 @@ This function simply creates a numeric value in the @code{awk_value_t} variable
 pointed to by @code{result}.
 
 @item static inline awk_value_t *
+@itemx make_number_mpz(void *mpz, awk_value_t *result);
+This function creates a GMP number value in @code{result}.
+The @code{mpz} must be from a call to @code{get_mpz_ptr()}
+(and thus be or real underlying type @code{mpz_ptr}).
+@command{gawk} takes ownership of this memory.
+
+@item static inline awk_value_t *
+@itemx make_number_mpfr(void *mpfr, awk_value_t *result);
+This function creates an MPFR number value in @code{result}.
+The @code{mpfr} must be from a call to @code{get_mpfr_ptr()}.
+(and thus be or real underlying type @code{mpfr_ptr})
+@command{gawk} takes ownership of this memory.
+
+@item static inline awk_value_t *
 @itemx make_const_user_input(const char *string, size_t length, awk_value_t *result);
 This function is identical to @code{make_const_string()}, but the string is
 flagged as user input that should be treated as a strnum value if the contents
@@ -32612,9 +32682,9 @@ the length of the field. The values in @code{fields[0]} provide the information
 for @code{$1}, and so on through the @code{fields[nf-1]} element containing the information for @code{$NF}.
 @end table
 
-A convenience macro @code{awk_fieldwidth_info_size(NF)} is provided to
+A convenience macro @code{awk_fieldwidth_info_size(numfields)} is provided to
 calculate the appropriate size of a variable-length 
-@code{awk_fieldwidth_info_t} structure containing @code{NF} fields. This can
+@code{awk_fieldwidth_info_t} structure containing @code{numfields} fields. This can
 be used as an argument to @code{malloc()} or in a union to allocate space
 statically. Please refer to the @code{readdir_test} sample extension for an
 example.
@@ -33231,7 +33301,8 @@ However, you can understand the point of cached values if you remember that
 @code{gawk_calloc()}, or @code{gawk_realloc()}.
 If you have 20 variables, all of which have the same string value, you
 must create 20 identical copies of the string.@footnote{Numeric values
-are clearly less problematic, requiring only a C @code{double} to store.}
+are clearly less problematic, requiring only a C @code{double} to store.
+But of course, GMP and MPFR values @emph{do} take up more memory.}
 
 It is clearly more efficient, if possible, to create a value once, and
 then tell @command{gawk} to reuse the value for multiple variables. That
@@ -33466,7 +33537,10 @@ The array remains an array, but after calling this function, it
 has no elements. This is equivalent to using the @code{delete}
 statement (@pxref{Delete}).
 
-@item awk_bool_t flatten_array_typed(awk_array_t a_cookie, awk_flat_array_t **data, awk_valtype_t index_type, awk_valtype_t value_type);
+@item awk_bool_t flatten_array_typed(awk_array_t a_cookie,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_flat_array_t **data,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_valtype_t index_type,
+@itemx @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ awk_valtype_t value_type);
 For the array represented by @code{a_cookie}, create an @code{awk_flat_array_t}
 structure and fill it in with indices and values of the requested types.
 Set the pointer whose address is passed as @code{data}
@@ -33601,7 +33675,8 @@ to double-check that the count in the @code{awk_flat_array_t}
 is the same as the count just retrieved:
 
 @example
-    if (! flatten_array_typed(value2.array_cookie, & flat_array, AWK_STRING, AWK_UNDEFINED)) @{
+    if (! flatten_array_typed(value2.array_cookie, & flat_array,
+                              AWK_STRING, AWK_UNDEFINED)) @{
         printf("dump_array_and_delete: could not flatten array\n");
         goto out;
     @}
@@ -33936,10 +34011,11 @@ A pipe opened for input.
 A two-way coprocess.
 @end table
 
-On error, return an @code{awk_false} value.  Otherwise, return
+On error, return @code{awk_false}.  Otherwise, return
 @code{awk_true}, and return additional information about the redirection
-in the @code{ibufp} and @code{obufp} pointers.  For input
-redirections, the @code{*ibufp} value should be non-@code{NULL},
+in the @code{ibufp} and @code{obufp} pointers.
+
+For input redirections, the @code{*ibufp} value should be non-@code{NULL},
 and @code{*obufp} should be @code{NULL}.  For output redirections,
 the @code{*obufp} value should be non-@code{NULL}, and @code{*ibufp}
 should be @code{NULL}.  For two-way coprocesses, both values should
@@ -33975,9 +34051,10 @@ and with which @command{gawk} was compiled).  The second provides
 information about how @command{gawk} was invoked.
 
 @menu
-* Extension Versioning::        API Version information.
+* Extension Versioning::          API Version information.
+* Extension GMP/MPFR Versioning:: Version information about GMP and MPFR.
 * Extension API Informational Variables:: Variables providing information about
-                                @command{gawk}'s invocation.
+                                  @command{gawk}'s invocation.
 @end menu
 
 @node Extension Versioning
@@ -34038,6 +34115,49 @@ Such code is included in the boilerplate @code{dl_load_func()} macro
 provided in @file{gawkapi.h} (discussed in
 @ref{Extension API Boilerplate}).
 
+@node Extension GMP/MPFR Versioning
+@subsubsection GMP and MPFR Version Information
+
+The API also includes information about the versions of GMP and MPFR
+with which the running @command{gawk} was compiled (if any).
+They are included in the API @code{struct} as read-only
+constant integers:
+
+@table @code
+@item api->gmp_major_version
+The major version of the GMP library used to compile @command{gawk}.
+
+@item api->gmp_minor_version
+The minor version of the GMP library used to compile @command{gawk}.
+
+@item api->mpfr_major_version
+The major version of the MPFR library used to compile @command{gawk}.
+
+@item api->mpfr_minor_version
+The minor version of the MPFR library used to compile @command{gawk}.
+@end table
+
+These fields are set to zero if @command{gawk} was compiled without
+MPFR support.
+
+You can check if the versions of MPFR and GMP that you are using match those
+of @command{gawk} with the following macro:
+
+@table @code
+@item check_mpfr_version(extension)
+The @code{extension} is the extension id passed to all the other macros
+and functions defined in @file{gawkapi.h}.  If you have not included
+the @code{<mpfr.h>} header file, then this macro will be defined to do nothing.
+
+If you have included that file, then this macro compares the MPFR
+and GMP major and minor versions against those of the library you are
+compiling against.  If your libraries are newer than @command{gawk}'s, it
+produces a fatal error message.
+
+The @code{dl_load_func()} macro (@pxref{Extension API Boilerplate})
+calls @code{check_mpfr_version()}.
+@end table
+
 @node Extension API Informational Variables
 @subsubsection Informational Variables
 @cindex API informational variables
@@ -34177,6 +34297,10 @@ Check the API versions. If the extension major version does not match
 @command{gawk}'s, it prints a fatal error message and exits.
 
 @item
+Check the MPFR and GMP versions. If there is a mismatch, it prints
+a fatal error message and exits.
+
+@item
 Load the functions defined in @code{func_table}.
 If any of them fails to load, it prints a warning message but
 continues on.