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-rw-r--r--doc/gawk.info1288
1 files changed, 669 insertions, 619 deletions
diff --git a/doc/gawk.info b/doc/gawk.info
index 87f7901c..f5f417a6 100644
--- a/doc/gawk.info
+++ b/doc/gawk.info
@@ -551,6 +551,7 @@ in (a) below. A copy of the license is included in the section entitled
* Inexact representation:: Numbers are not exactly represented.
* Comparing FP Values:: How to compare floating point values.
* Errors accumulate:: Errors get bigger as they go.
+* Strange values:: A few words about infinities and NaNs.
* Getting Accuracy:: Getting more accuracy takes some work.
* Try To Round:: Add digits and round.
* Setting precision:: How to set the precision.
@@ -3219,7 +3220,9 @@ change. The variables are:
'AWK_HASH'
If this variable exists with a value of 'gst', 'gawk' switches to
using the hash function from GNU Smalltalk for managing arrays.
- This function may be marginally faster than the standard function.
+ With a value of 'fnv1a', 'gawk' uses the FNV1-A hash function
+ (http://www.isthe.com/chongo/tech/comp/fnv/index.html). These
+ functions may be marginally faster than the standard function.
'AWKREADFUNC'
If this variable exists, 'gawk' switches to reading source files
@@ -6970,8 +6973,8 @@ width. Here is a list of the format-control letters:
On systems supporting IEEE 754 floating-point format, values
representing negative infinity are formatted as '-inf' or
'-infinity', and positive infinity as 'inf' or 'infinity'. The
- special "not a number" value formats as '-nan' or 'nan' (*note Math
- Definitions::).
+ special "not a number" value formats as '-nan' or 'nan' (*note
+ Strange values::).
'%F'
Like '%f', but the infinity and "not a number" values are spelled
@@ -12863,7 +12866,7 @@ brackets ([ ]):
'log(X)'
Return the natural logarithm of X, if X is positive; otherwise,
- return 'NaN' ("not a number") on IEEE 754 systems. Additionally,
+ return NaN ("not a number") on IEEE 754 systems. Additionally,
'gawk' prints a warning message when 'x' is negative.
'rand()'
@@ -24246,18 +24249,10 @@ material here:
another number and infinity produce infinity.
"NaN"
- "Not a number."(1) A special value that results from attempting a
- calculation that has no answer as a real number. In such a case,
- programs can either receive a floating-point exception, or get
- 'NaN' back as the result. The IEEE 754 standard recommends that
- systems return 'NaN'. Some examples:
-
- 'sqrt(-1)'
- This makes sense in the range of complex numbers, but not in
- the range of real numbers, so the result is 'NaN'.
-
- 'log(-8)'
- -8 is out of the domain of 'log()', so the result is 'NaN'.
+ "Not a number." A special value that results from attempting a
+ calculation that has no answer as a real number. *Note Strange
+ values::, for more information about infinity and not-a-number
+ values.
"Normalized"
How the significand (see later in this list) is usually stored.
@@ -24316,11 +24311,6 @@ Table 16.3: Basic IEEE format values
NOTE: The precision numbers include the implied leading one that
gives them one extra bit of significand.
- ---------- Footnotes ----------
-
- (1) Thanks to Michael Brennan for this description, which we have
-paraphrased, and for the examples.
-

File: gawk.info, Node: MPFR features, Next: FP Math Caution, Prev: Math Definitions, Up: Arbitrary Precision Arithmetic
@@ -24413,6 +24403,7 @@ be sure of the number of significant decimal places in the final result.
* Inexact representation:: Numbers are not exactly represented.
* Comparing FP Values:: How to compare floating point values.
* Errors accumulate:: Errors get bigger as they go.
+* Strange values:: A few words about infinities and NaNs.

File: gawk.info, Node: Inexact representation, Next: Comparing FP Values, Up: Inexactness of computations
@@ -24477,7 +24468,7 @@ values with a delta, you should be sure to use 'difference < abs(delta)'
in case someone passes in a negative delta value.

-File: gawk.info, Node: Errors accumulate, Prev: Comparing FP Values, Up: Inexactness of computations
+File: gawk.info, Node: Errors accumulate, Next: Strange values, Prev: Comparing FP Values, Up: Inexactness of computations
16.4.1.3 Errors Accumulate
..........................
@@ -24525,6 +24516,64 @@ representations yield an unexpected result:
-| 4

+File: gawk.info, Node: Strange values, Prev: Errors accumulate, Up: Inexactness of computations
+
+16.4.1.4 Floating Point Values They Didn't Talk About In School
+...............................................................
+
+Both IEEE 754 floating-point hardware, and MPFR, support two kinds of
+values that you probably didn't learn about in school. The first is
+"infinity", a special value, that can be either negative or positive,
+and which is either smaller than any other value (negative infinity), or
+larger than any other value (positive infinity). When such values are
+generated, 'gawk' prints them as either '-inf' or '+inf', respectively.
+It accepts those strings as data input and converts them to the proper
+floating-point values internally.
+
+ Infinity values of the same sign compare as equal to each other.
+Otherwise, operations (addition, subtraction, etc.) involving another
+number and infinity produce mathematically reasonable results.
+
+ The second kind of value is "not a number", or NaN for short.(1)
+This is a special value that results from attempting a calculation that
+has no answer as a real number. In such a case, programs can either
+receive a floating-point exception, or get NaN back as the result. The
+IEEE 754 standard recommends that systems return NaN. Some examples:
+
+'sqrt(-1)'
+ This makes sense in the range of complex numbers, but not in the
+ range of real numbers, so the result is NaN.
+
+'log(-8)'
+ -8 is out of the domain of 'log()', so the result is NaN.
+
+ NaN values are strange. In particular, they cannot be compared with
+other floating point values; any such comparison, except for "is not
+equal to", returns false. NaN values are so much unequal to other
+values that even comparing two identical NaN values with '!=' returns
+true!
+
+ NaN values can also be signed, although it depends upon the
+implementation as to which sign you get for any operation that returns a
+NaN. For example, on some systems, 'sqrt(-1)' returns a negative NaN. On
+others, it returns a positive NaN.
+
+ When such values are generated, 'gawk' prints them as either '-nan'
+or '+nan', respectively. Here too, 'gawk' accepts those strings as data
+input and converts them to the proper floating-point values internally.
+
+ If you want to dive more deeply into this topic, you can find test
+programs in C, 'awk' and Python in the directory
+'awklib/eg/test-programs' in the 'gawk' distribution. These programs
+enable comparison among programming languages as to how they handle NaN
+and infinity values.
+
+ ---------- Footnotes ----------
+
+ (1) Thanks to Michael Brennan for this description, which we have
+paraphrased, and for the examples.
+
+
File: gawk.info, Node: Getting Accuracy, Next: Try To Round, Prev: Inexactness of computations, Up: FP Math Caution
16.4.2 Getting the Accuracy You Need
@@ -38067,603 +38116,604 @@ Index

Tag Table:
Node: Top1200
-Node: Foreword344780
-Node: Foreword449222
-Node: Preface50754
-Ref: Preface-Footnote-153613
-Ref: Preface-Footnote-253722
-Ref: Preface-Footnote-353956
-Node: History54098
-Node: Names56450
-Ref: Names-Footnote-157554
-Node: This Manual57701
-Ref: This Manual-Footnote-164340
-Node: Conventions64440
-Node: Manual History66809
-Ref: Manual History-Footnote-169806
-Ref: Manual History-Footnote-269847
-Node: How To Contribute69921
-Node: Acknowledgments70847
-Node: Getting Started75784
-Node: Running gawk78223
-Node: One-shot79413
-Node: Read Terminal80676
-Node: Long82669
-Node: Executable Scripts84182
-Ref: Executable Scripts-Footnote-186815
-Node: Comments86918
-Node: Quoting89402
-Node: DOS Quoting94928
-Node: Sample Data Files96984
-Node: Very Simple99579
-Node: Two Rules105681
-Node: More Complex107566
-Node: Statements/Lines109898
-Ref: Statements/Lines-Footnote-1114382
-Node: Other Features114647
-Node: When115583
-Ref: When-Footnote-1117337
-Node: Intro Summary117402
-Node: Invoking Gawk118286
-Node: Command Line119800
-Node: Options120598
-Ref: Options-Footnote-1138512
-Ref: Options-Footnote-2138743
-Node: Other Arguments138768
-Node: Naming Standard Input142779
-Node: Environment Variables143989
-Node: AWKPATH Variable144547
-Ref: AWKPATH Variable-Footnote-1147959
-Ref: AWKPATH Variable-Footnote-2147993
-Node: AWKLIBPATH Variable148364
-Ref: AWKLIBPATH Variable-Footnote-1150061
-Node: Other Environment Variables150436
-Node: Exit Status154257
-Node: Include Files154934
-Node: Loading Shared Libraries158624
-Node: Obsolete160052
-Node: Undocumented160744
-Node: Invoking Summary161041
-Node: Regexp163882
-Node: Regexp Usage165336
-Node: Escape Sequences167373
-Node: Regexp Operators173614
-Node: Regexp Operator Details174099
-Ref: Regexp Operator Details-Footnote-1181463
-Node: Interval Expressions181610
-Ref: Interval Expressions-Footnote-1183031
-Node: Bracket Expressions183129
-Ref: table-char-classes185605
-Node: Leftmost Longest188931
-Node: Computed Regexps190234
-Node: GNU Regexp Operators193661
-Node: Case-sensitivity197398
-Ref: Case-sensitivity-Footnote-1200264
-Ref: Case-sensitivity-Footnote-2200499
-Node: Regexp Summary200607
-Node: Reading Files202073
-Node: Records204342
-Node: awk split records205417
-Node: gawk split records210117
-Ref: gawk split records-Footnote-1215191
-Node: Fields215228
-Node: Nonconstant Fields217969
-Ref: Nonconstant Fields-Footnote-1220205
-Node: Changing Fields220409
-Node: Field Separators226440
-Node: Default Field Splitting229138
-Node: Regexp Field Splitting230256
-Node: Single Character Fields233933
-Node: Command Line Field Separator234993
-Node: Full Line Fields238211
-Ref: Full Line Fields-Footnote-1239733
-Ref: Full Line Fields-Footnote-2239779
-Node: Field Splitting Summary239880
-Node: Constant Size241954
-Node: Fixed width data242686
-Node: Skipping intervening246153
-Node: Allowing trailing data246951
-Node: Fields with fixed data247988
-Node: Splitting By Content249506
-Ref: Splitting By Content-Footnote-1253289
-Node: More CSV253452
-Node: Testing field creation255044
-Node: Multiple Line256669
-Node: Getline262946
-Node: Plain Getline265415
-Node: Getline/Variable267988
-Node: Getline/File269139
-Node: Getline/Variable/File270527
-Ref: Getline/Variable/File-Footnote-1272132
-Node: Getline/Pipe272220
-Node: Getline/Variable/Pipe274924
-Node: Getline/Coprocess276059
-Node: Getline/Variable/Coprocess277326
-Node: Getline Notes278068
-Node: Getline Summary280865
-Ref: table-getline-variants281289
-Node: Read Timeout282037
-Ref: Read Timeout-Footnote-1285943
-Node: Retrying Input286001
-Node: Command-line directories287200
-Node: Input Summary288106
-Node: Input Exercises291278
-Node: Printing291712
-Node: Print293546
-Node: Print Examples295003
-Node: Output Separators297783
-Node: OFMT299800
-Node: Printf301156
-Node: Basic Printf301941
-Node: Control Letters303515
-Node: Format Modifiers308679
-Node: Printf Examples314694
-Node: Redirection317180
-Node: Special FD324021
-Ref: Special FD-Footnote-1327189
-Node: Special Files327263
-Node: Other Inherited Files327880
-Node: Special Network328881
-Node: Special Caveats329741
-Node: Close Files And Pipes330690
-Ref: table-close-pipe-return-values337597
-Ref: Close Files And Pipes-Footnote-1338410
-Ref: Close Files And Pipes-Footnote-2338558
-Node: Nonfatal338710
-Node: Output Summary341048
-Node: Output Exercises342270
-Node: Expressions342949
-Node: Values344137
-Node: Constants344815
-Node: Scalar Constants345506
-Ref: Scalar Constants-Footnote-1348016
-Node: Nondecimal-numbers348266
-Node: Regexp Constants351267
-Node: Using Constant Regexps351793
-Node: Standard Regexp Constants352415
-Node: Strong Regexp Constants355603
-Node: Variables358615
-Node: Using Variables359272
-Node: Assignment Options361182
-Node: Conversion363653
-Node: Strings And Numbers364177
-Ref: Strings And Numbers-Footnote-1367240
-Node: Locale influences conversions367349
-Ref: table-locale-affects370107
-Node: All Operators370725
-Node: Arithmetic Ops371354
-Node: Concatenation374070
-Ref: Concatenation-Footnote-1376917
-Node: Assignment Ops377024
-Ref: table-assign-ops382015
-Node: Increment Ops383328
-Node: Truth Values and Conditions386788
-Node: Truth Values387862
-Node: Typing and Comparison388910
-Node: Variable Typing389730
-Ref: Variable Typing-Footnote-1396193
-Ref: Variable Typing-Footnote-2396265
-Node: Comparison Operators396342
-Ref: table-relational-ops396761
-Node: POSIX String Comparison400256
-Ref: POSIX String Comparison-Footnote-1401951
-Ref: POSIX String Comparison-Footnote-2402090
-Node: Boolean Ops402174
-Ref: Boolean Ops-Footnote-1406656
-Node: Conditional Exp406748
-Node: Function Calls408484
-Node: Precedence412361
-Node: Locales416020
-Node: Expressions Summary417652
-Node: Patterns and Actions420225
-Node: Pattern Overview421345
-Node: Regexp Patterns423022
-Node: Expression Patterns423564
-Node: Ranges427345
-Node: BEGIN/END430453
-Node: Using BEGIN/END431214
-Ref: Using BEGIN/END-Footnote-1433968
-Node: I/O And BEGIN/END434074
-Node: BEGINFILE/ENDFILE436387
-Node: Empty439618
-Node: Using Shell Variables439935
-Node: Action Overview442209
-Node: Statements444534
-Node: If Statement446382
-Node: While Statement447877
-Node: Do Statement449905
-Node: For Statement451053
-Node: Switch Statement454224
-Node: Break Statement456665
-Node: Continue Statement458757
-Node: Next Statement460584
-Node: Nextfile Statement462967
-Node: Exit Statement465656
-Node: Built-in Variables468059
-Node: User-modified469192
-Node: Auto-set476959
-Ref: Auto-set-Footnote-1493766
-Ref: Auto-set-Footnote-2493972
-Node: ARGC and ARGV494028
-Node: Pattern Action Summary498241
-Node: Arrays500671
-Node: Array Basics502000
-Node: Array Intro502844
-Ref: figure-array-elements504819
-Ref: Array Intro-Footnote-1507523
-Node: Reference to Elements507651
-Node: Assigning Elements510115
-Node: Array Example510606
-Node: Scanning an Array512365
-Node: Controlling Scanning515387
-Ref: Controlling Scanning-Footnote-1521843
-Node: Numeric Array Subscripts522159
-Node: Uninitialized Subscripts524343
-Node: Delete525962
-Ref: Delete-Footnote-1528714
-Node: Multidimensional528771
-Node: Multiscanning531866
-Node: Arrays of Arrays533457
-Node: Arrays Summary538225
-Node: Functions540318
-Node: Built-in541356
-Node: Calling Built-in542437
-Node: Numeric Functions544433
-Ref: Numeric Functions-Footnote-1548461
-Ref: Numeric Functions-Footnote-2549109
-Ref: Numeric Functions-Footnote-3549157
-Node: String Functions549429
-Ref: String Functions-Footnote-1573570
-Ref: String Functions-Footnote-2573698
-Ref: String Functions-Footnote-3573946
-Node: Gory Details574033
-Ref: table-sub-escapes575824
-Ref: table-sub-proposed577343
-Ref: table-posix-sub578706
-Ref: table-gensub-escapes580247
-Ref: Gory Details-Footnote-1581070
-Node: I/O Functions581224
-Ref: table-system-return-values587678
-Ref: I/O Functions-Footnote-1589758
-Ref: I/O Functions-Footnote-2589906
-Node: Time Functions590026
-Ref: Time Functions-Footnote-1600697
-Ref: Time Functions-Footnote-2600765
-Ref: Time Functions-Footnote-3600923
-Ref: Time Functions-Footnote-4601034
-Ref: Time Functions-Footnote-5601146
-Ref: Time Functions-Footnote-6601373
-Node: Bitwise Functions601639
-Ref: table-bitwise-ops602233
-Ref: Bitwise Functions-Footnote-1608296
-Ref: Bitwise Functions-Footnote-2608469
-Node: Type Functions608660
-Node: I18N Functions611523
-Node: User-defined613174
-Node: Definition Syntax613986
-Ref: Definition Syntax-Footnote-1619680
-Node: Function Example619751
-Ref: Function Example-Footnote-1622673
-Node: Function Calling622695
-Node: Calling A Function623283
-Node: Variable Scope624241
-Node: Pass By Value/Reference627235
-Node: Function Caveats629879
-Ref: Function Caveats-Footnote-1631926
-Node: Return Statement632046
-Node: Dynamic Typing635025
-Node: Indirect Calls635955
-Ref: Indirect Calls-Footnote-1646207
-Node: Functions Summary646335
-Node: Library Functions649040
-Ref: Library Functions-Footnote-1652647
-Ref: Library Functions-Footnote-2652790
-Node: Library Names652961
-Ref: Library Names-Footnote-1656628
-Ref: Library Names-Footnote-2656851
-Node: General Functions656937
-Node: Strtonum Function658040
-Node: Assert Function661062
-Node: Round Function664388
-Node: Cliff Random Function665928
-Node: Ordinal Functions666944
-Ref: Ordinal Functions-Footnote-1670007
-Ref: Ordinal Functions-Footnote-2670259
-Node: Join Function670469
-Ref: Join Function-Footnote-1672239
-Node: Getlocaltime Function672439
-Node: Readfile Function676181
-Node: Shell Quoting678158
-Node: Data File Management679559
-Node: Filetrans Function680191
-Node: Rewind Function684287
-Node: File Checking686196
-Ref: File Checking-Footnote-1687530
-Node: Empty Files687731
-Node: Ignoring Assigns689710
-Node: Getopt Function691260
-Ref: Getopt Function-Footnote-1706471
-Node: Passwd Functions706671
-Ref: Passwd Functions-Footnote-1715510
-Node: Group Functions715598
-Ref: Group Functions-Footnote-1723496
-Node: Walking Arrays723703
-Node: Library Functions Summary726711
-Node: Library Exercises728117
-Node: Sample Programs728582
-Node: Running Examples729352
-Node: Clones730080
-Node: Cut Program731304
-Node: Egrep Program741444
-Node: Id Program750445
-Node: Split Program760392
-Ref: Split Program-Footnote-1770282
-Node: Tee Program770455
-Node: Uniq Program773245
-Node: Wc Program780833
-Node: Bytes vs. Characters781220
-Node: Using extensions782768
-Node: wc program783522
-Node: Miscellaneous Programs788387
-Node: Dupword Program789600
-Node: Alarm Program791630
-Node: Translate Program796485
-Ref: Translate Program-Footnote-1801050
-Node: Labels Program801320
-Ref: Labels Program-Footnote-1804671
-Node: Word Sorting804755
-Node: History Sorting808827
-Node: Extract Program811052
-Node: Simple Sed819106
-Node: Igawk Program822180
-Ref: Igawk Program-Footnote-1836511
-Ref: Igawk Program-Footnote-2836713
-Ref: Igawk Program-Footnote-3836835
-Node: Anagram Program836950
-Node: Signature Program840012
-Node: Programs Summary841259
-Node: Programs Exercises842473
-Ref: Programs Exercises-Footnote-1846603
-Node: Advanced Features846689
-Node: Nondecimal Data848756
-Node: Array Sorting850347
-Node: Controlling Array Traversal851047
-Ref: Controlling Array Traversal-Footnote-1859415
-Node: Array Sorting Functions859533
-Ref: Array Sorting Functions-Footnote-1864624
-Node: Two-way I/O864820
-Ref: Two-way I/O-Footnote-1872541
-Ref: Two-way I/O-Footnote-2872728
-Node: TCP/IP Networking872810
-Node: Profiling875928
-Node: Extension Philosophy885237
-Node: Advanced Features Summary886716
-Node: Internationalization888731
-Node: I18N and L10N890211
-Node: Explaining gettext890898
-Ref: Explaining gettext-Footnote-1896790
-Ref: Explaining gettext-Footnote-2896975
-Node: Programmer i18n897140
-Ref: Programmer i18n-Footnote-1902089
-Node: Translator i18n902138
-Node: String Extraction902932
-Ref: String Extraction-Footnote-1904064
-Node: Printf Ordering904150
-Ref: Printf Ordering-Footnote-1906936
-Node: I18N Portability907000
-Ref: I18N Portability-Footnote-1909456
-Node: I18N Example909519
-Ref: I18N Example-Footnote-1912794
-Ref: I18N Example-Footnote-2912867
-Node: Gawk I18N912976
-Node: I18N Summary913625
-Node: Debugger914966
-Node: Debugging915966
-Node: Debugging Concepts916407
-Node: Debugging Terms918216
-Node: Awk Debugging920791
-Ref: Awk Debugging-Footnote-1921736
-Node: Sample Debugging Session921868
-Node: Debugger Invocation922402
-Node: Finding The Bug923788
-Node: List of Debugger Commands930262
-Node: Breakpoint Control931595
-Node: Debugger Execution Control935289
-Node: Viewing And Changing Data938651
-Node: Execution Stack942192
-Node: Debugger Info943829
-Node: Miscellaneous Debugger Commands947900
-Node: Readline Support952962
-Node: Limitations953858
-Node: Debugging Summary956412
-Node: Namespaces957691
-Node: Global Namespace958802
-Node: Qualified Names960200
-Node: Default Namespace961199
-Node: Changing The Namespace961940
-Node: Naming Rules963554
-Node: Internal Name Management965402
-Node: Namespace Example966444
-Node: Namespace And Features969006
-Node: Namespace Summary970441
-Node: Arbitrary Precision Arithmetic971918
-Node: Computer Arithmetic973405
-Ref: table-numeric-ranges977171
-Ref: table-floating-point-ranges977664
-Ref: Computer Arithmetic-Footnote-1978322
-Node: Math Definitions978379
-Ref: table-ieee-formats981695
-Ref: Math Definitions-Footnote-1982298
-Node: MPFR features982403
-Node: FP Math Caution984121
-Ref: FP Math Caution-Footnote-1985193
-Node: Inexactness of computations985562
-Node: Inexact representation986522
-Node: Comparing FP Values987882
-Node: Errors accumulate989123
-Node: Getting Accuracy990556
-Node: Try To Round993266
-Node: Setting precision994165
-Ref: table-predefined-precision-strings994862
-Node: Setting the rounding mode996692
-Ref: table-gawk-rounding-modes997066
-Ref: Setting the rounding mode-Footnote-11000997
-Node: Arbitrary Precision Integers1001176
-Ref: Arbitrary Precision Integers-Footnote-11004351
-Node: Checking for MPFR1004500
-Node: POSIX Floating Point Problems1005974
-Ref: POSIX Floating Point Problems-Footnote-11010259
-Node: Floating point summary1010297
-Node: Dynamic Extensions1012487
-Node: Extension Intro1014040
-Node: Plugin License1015306
-Node: Extension Mechanism Outline1016103
-Ref: figure-load-extension1016542
-Ref: figure-register-new-function1018107
-Ref: figure-call-new-function1019199
-Node: Extension API Description1021261
-Node: Extension API Functions Introduction1022974
-Ref: table-api-std-headers1024810
-Node: General Data Types1029059
-Ref: General Data Types-Footnote-11037689
-Node: Memory Allocation Functions1037988
-Ref: Memory Allocation Functions-Footnote-11042489
-Node: Constructor Functions1042588
-Node: API Ownership of MPFR and GMP Values1046054
-Node: Registration Functions1047367
-Node: Extension Functions1048067
-Node: Exit Callback Functions1053389
-Node: Extension Version String1054639
-Node: Input Parsers1055302
-Node: Output Wrappers1068023
-Node: Two-way processors1072535
-Node: Printing Messages1074800
-Ref: Printing Messages-Footnote-11075971
-Node: Updating ERRNO1076124
-Node: Requesting Values1076863
-Ref: table-value-types-returned1077600
-Node: Accessing Parameters1078536
-Node: Symbol Table Access1079773
-Node: Symbol table by name1080285
-Ref: Symbol table by name-Footnote-11083309
-Node: Symbol table by cookie1083437
-Ref: Symbol table by cookie-Footnote-11087622
-Node: Cached values1087686
-Ref: Cached values-Footnote-11091222
-Node: Array Manipulation1091375
-Ref: Array Manipulation-Footnote-11092466
-Node: Array Data Types1092503
-Ref: Array Data Types-Footnote-11095161
-Node: Array Functions1095253
-Node: Flattening Arrays1099751
-Node: Creating Arrays1106727
-Node: Redirection API1111494
-Node: Extension API Variables1114327
-Node: Extension Versioning1115038
-Ref: gawk-api-version1115467
-Node: Extension GMP/MPFR Versioning1117198
-Node: Extension API Informational Variables1118826
-Node: Extension API Boilerplate1119899
-Node: Changes from API V11123873
-Node: Finding Extensions1125445
-Node: Extension Example1126004
-Node: Internal File Description1126802
-Node: Internal File Ops1130882
-Ref: Internal File Ops-Footnote-11142232
-Node: Using Internal File Ops1142372
-Ref: Using Internal File Ops-Footnote-11144755
-Node: Extension Samples1145029
-Node: Extension Sample File Functions1146558
-Node: Extension Sample Fnmatch1154207
-Node: Extension Sample Fork1155694
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-Node: PC Installation1240850
-Node: PC Binary Installation1241688
-Node: PC Compiling1242123
-Node: PC Using1243240
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-Node: Index1410994
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+Node: GNU Free Documentation License1388386
+Node: Index1413506

End Tag Table