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This is mpir.info, produced by makeinfo version 4.13 from mpir.texi.
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This manual describes how to install and use MPIR, the Multiple
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Precision Integers and Rationals library, version 1.3.0.
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Copyright 1991, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,
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2001, 2002, 2003, 2004, 2005, 2006 Free Software Foundation, Inc.
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Copyright 2008 William Hart
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Permission is granted to copy, distribute and/or modify this
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document under the terms of the GNU Free Documentation License, Version
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1.2 or any later version published by the Free Software Foundation;
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with no Invariant Sections, with the Front-Cover Texts being "A GNU
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Manual", and with the Back-Cover Texts being "You have freedom to copy
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and modify this GNU Manual, like GNU software". A copy of the license
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is included in *note GNU Free Documentation License::.
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INFO-DIR-SECTION GNU libraries
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START-INFO-DIR-ENTRY
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* mpir: (mpir). MPIR Multiple Precision Integers and Rationals Library.
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END-INFO-DIR-ENTRY
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Indirect:
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mpir.info-1: 990
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mpir.info-2: 300271
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Tag Table:
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(Indirect)
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Node: Top990
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||||
Node: Copying3235
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||||
Node: Introduction to MPIR5080
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||||
Node: Installing MPIR7501
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||||
Node: Build Options8637
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||||
Node: ABI and ISA24945
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||||
Node: Notes for Package Builds34372
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||||
Node: Notes for Particular Systems37490
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||||
Node: Known Build Problems44244
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||||
Node: Performance optimization47794
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||||
Node: MPIR Basics48929
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||||
Node: Headers and Libraries49583
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||||
Node: Nomenclature and Types51038
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||||
Node: Function Classes52749
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Node: Variable Conventions54287
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||||
Node: Parameter Conventions55816
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||||
Node: Memory Management57880
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||||
Node: Reentrancy59012
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||||
Node: Useful Macros and Constants60449
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||||
Node: Compatibility with older versions61795
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||||
Node: Demonstration Programs62638
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Node: Efficiency64509
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||||
Node: Debugging72139
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||||
Node: Profiling78708
|
||||
Node: Autoconf82742
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||||
Node: Emacs84616
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||||
Node: Reporting Bugs85225
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||||
Node: Integer Functions87792
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||||
Node: Initializing Integers88571
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Node: Assigning Integers90243
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||||
Node: Simultaneous Integer Init & Assign91831
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Node: Converting Integers93458
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Node: Integer Arithmetic96111
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Node: Integer Division97714
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Node: Integer Exponentiation104143
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Node: Integer Roots105005
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Node: Number Theoretic Functions106832
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Node: Integer Comparisons114969
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Node: Integer Logic and Bit Fiddling116348
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Node: I/O of Integers118962
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Node: Integer Random Numbers121577
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Node: Integer Import and Export123353
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Node: Miscellaneous Integer Functions127358
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Node: Integer Special Functions129219
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Node: Rational Number Functions132390
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Node: Initializing Rationals133585
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Node: Rational Conversions135831
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Node: Rational Arithmetic137563
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Node: Comparing Rationals138900
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Node: Applying Integer Functions140268
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Node: I/O of Rationals141752
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Node: Floating-point Functions143615
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Node: Initializing Floats146503
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Node: Assigning Floats150201
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Node: Simultaneous Float Init & Assign152769
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Node: Converting Floats154299
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Node: Float Arithmetic157260
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Node: Float Comparison159306
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Node: I/O of Floats160658
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Node: Miscellaneous Float Functions162984
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Node: Low-level Functions165623
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Node: Random Number Functions188534
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Node: Random State Initialization189604
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Node: Random State Seeding191667
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Node: Random State Miscellaneous193057
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Node: Formatted Output193699
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Node: Formatted Output Strings193945
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Node: Formatted Output Functions199185
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Node: C++ Formatted Output203262
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Node: Formatted Input205949
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Node: Formatted Input Strings206186
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Node: Formatted Input Functions210848
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Node: C++ Formatted Input213821
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Node: C++ Class Interface215729
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Node: C++ Interface General216734
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Node: C++ Interface Integers219817
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Node: C++ Interface Rationals223251
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Node: C++ Interface Floats226930
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Node: C++ Interface Random Numbers232225
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Node: C++ Interface Limitations234355
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Node: BSD Compatible Functions237201
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Node: Custom Allocation237419
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Node: Language Bindings241611
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Node: Algorithms245627
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Node: Multiplication Algorithms246332
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Node: Basecase Multiplication247267
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Node: Karatsuba Multiplication249179
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Node: Toom 3-Way Multiplication252809
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Node: FFT Multiplication259218
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Node: Other Multiplication264556
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Node: Division Algorithms267042
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Node: Single Limb Division267390
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Node: Basecase Division270310
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Node: Divide and Conquer Division271514
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Node: Exact Division273752
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Node: Exact Remainder276920
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Node: Small Quotient Division279213
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Node: Greatest Common Divisor Algorithms280812
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Node: Binary GCD281086
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Node: Accelerated GCD283765
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Node: Extended GCD285564
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Node: Jacobi Symbol287235
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Node: Powering Algorithms288152
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Node: Normal Powering Algorithm288416
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Node: Modular Powering Algorithm288945
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Node: Root Extraction Algorithms290009
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Node: Square Root Algorithm290325
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Node: Nth Root Algorithm292468
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Node: Perfect Square Algorithm293254
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Node: Perfect Power Algorithm295341
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Node: Radix Conversion Algorithms295963
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Node: Binary to Radix296340
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Node: Radix to Binary300271
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Node: Other Algorithms302203
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Node: Prime Testing Algorithm302557
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Node: Factorial Algorithm303742
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Node: Binomial Coefficients Algorithm305146
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Node: Fibonacci Numbers Algorithm306041
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Node: Lucas Numbers Algorithm308517
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Node: Random Number Algorithms309239
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Node: Assembler Coding311363
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Node: Assembler Code Organisation312340
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Node: Assembler Basics313313
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Node: Assembler Carry Propagation314472
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Node: Assembler Cache Handling316310
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Node: Assembler Functional Units318478
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Node: Assembler Floating Point320099
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Node: Assembler SIMD Instructions323882
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Node: Assembler Software Pipelining324871
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Node: Assembler Loop Unrolling325939
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Node: Assembler Writing Guide328159
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Node: Internals330929
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Node: Integer Internals331443
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Node: Rational Internals333700
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Node: Float Internals334940
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Node: Raw Output Internals342268
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Node: C++ Interface Internals343463
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Node: Contributors346762
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Node: References351696
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Node: GNU Free Documentation License356752
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Node: Concept Index379199
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Node: Function Index425197
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End Tag Table
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@ -1,61 +1,63 @@
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/* Generated by tuneup.c, 2009-05-28, gcc 4.0 */
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/* Generated by tuneup.c, 2009-10-08, gcc 4.2 */
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#define MUL_KARATSUBA_THRESHOLD 20
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#define MUL_TOOM3_THRESHOLD 61
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#define MUL_TOOM4_THRESHOLD 178
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#define MUL_TOOM7_THRESHOLD 718
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#define MUL_KARATSUBA_THRESHOLD 19
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#define MUL_TOOM3_THRESHOLD 50
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#define MUL_TOOM4_THRESHOLD 268
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#define MUL_TOOM7_THRESHOLD 587
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#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
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#define SQR_KARATSUBA_THRESHOLD 24
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#define SQR_TOOM3_THRESHOLD 86
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#define SQR_TOOM4_THRESHOLD 100
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#define SQR_TOOM7_THRESHOLD 234
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#define SQR_TOOM3_THRESHOLD 85
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#define SQR_TOOM4_THRESHOLD 133
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#define SQR_TOOM7_THRESHOLD 170
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#define MULLOW_BASECASE_THRESHOLD 17
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#define MULLOW_DC_THRESHOLD 40
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#define MULLOW_MUL_N_THRESHOLD 268
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#define MULLOW_DC_THRESHOLD 17
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#define MULLOW_MUL_THRESHOLD 5620
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#define MULHIGH_BASECASE_THRESHOLD 18
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#define MULHIGH_DC_THRESHOLD 18
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#define MULHIGH_MUL_THRESHOLD 5620
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#define MULMOD_2EXPM1_THRESHOLD 16
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#define DIV_SB_PREINV_THRESHOLD 0 /* always */
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#define DIV_DC_THRESHOLD 52
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#define POWM_THRESHOLD 79
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#define DIV_DC_THRESHOLD 54
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#define POWM_THRESHOLD 73
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#define FAC_UI_THRESHOLD 8501
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#define GCD_ACCEL_THRESHOLD 3
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#define GCDEXT_THRESHOLD 112
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#define GCD_ACCEL_THRESHOLD 43
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#define GCDEXT_THRESHOLD 111
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#define JACOBI_BASE_METHOD 1
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#define DIVREM_1_NORM_THRESHOLD MP_SIZE_T_MAX /* never */
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#define DIVREM_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
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#define MOD_1_NORM_THRESHOLD 0 /* always */
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#define MOD_1_UNNORM_THRESHOLD 0 /* always */
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#define USE_PREINV_DIVREM_1 0
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#define USE_PREINV_DIVREM_1 1
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#define USE_PREINV_MOD_1 1
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#define DIVREM_2_THRESHOLD MP_SIZE_T_MAX /* never */
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#define DIVEXACT_1_THRESHOLD 0 /* always */
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#define MODEXACT_1_ODD_THRESHOLD 0 /* always (native) */
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#define MOD_1_1_THRESHOLD 6
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#define MOD_1_2_THRESHOLD 8
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#define MOD_1_3_THRESHOLD 17
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#define DIVREM_HENSEL_QR_1_THRESHOLD 7
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#define RSH_DIVREM_HENSEL_QR_1_THRESHOLD 3
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#define DIVREM_EUCLID_HENSEL_THRESHOLD 16
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#define GET_STR_DC_THRESHOLD 6
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#define ROOTREM_THRESHOLD 11
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#define GET_STR_DC_THRESHOLD 5
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#define GET_STR_PRECOMPUTE_THRESHOLD 7
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#define SET_STR_THRESHOLD 6418
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#define MUL_FFT_TABLE { 400, 800, 2624, 3328, 7168, 28672, 81920, 327680, 0 }
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#define MUL_FFT_MODF_THRESHOLD 376
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#define MUL_FFT_THRESHOLD 4608
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#define MUL_FFT_TABLE { 400, 800, 2240, 2816, 7168, 20480, 81920, 327680, 0 }
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#define MUL_FFT_MODF_THRESHOLD 368
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#define MUL_FFT_THRESHOLD 2944
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#define SQR_FFT_TABLE { 400, 864, 2368, 2816, 7168, 28672, 81920, 327680, 0 }
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#define SQR_FFT_MODF_THRESHOLD 312
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#define SQR_FFT_THRESHOLD 2944
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#define MUL_FFT_TABLE2 {{1, 4}, {344, 5}, {360, 4}, {377, 5}, {386, 4}, {404, 5}, {423, 4}, {453, 5}, {743, 6}, {777, 5}, {813, 6}, {850, 5}, {869, 6}, {1880, 7}, {1922, 6}, {2009, 7}, {2053, 6}, {2144, 7}, {2191, 6}, {2289, 7}, {2340, 6}, {2392, 7}, {2727, 8}, {2849, 7}, {3248, 8}, {3393, 7}, {3622, 8}, {3867, 7}, {4039, 8}, {6957, 9}, {7756, 8}, {8460, 9}, {8836, 8}, {9030, 9}, {9850, 8}, {10066, 9}, {11976, 8}, {12239, 9}, {13939, 10}, {15202, 9}, {15876, 8}, {16224, 9}, {18480, 10}, {19722, 9}, {20596, 10}, {23970, 9}, {24495, 10}, {27898, 11}, {31091, 10}, {31772, 9}, {32468, 10}, {40326, 11}, {47962, 10}, {57042, 11}, {62207, 12}, {63570, 10}, {73983, 11}, {80681, 10}, {84254, 11}, {114110, 12}, {127165, 11}, {164920, 12}, {196129, 11}, {228243, 12}, {233241, 13}, {254354, 12}, {259924, 11}, {277377, 12}, {392279, 11}, {427785, 12}, {456509, 13}, {519871, 12}, {531255, 11}, {566925, 12}, {592026, 11}, {631776, 12}, {659749, 11}, {719463, 10}, {735218, 11}, {767770, 12}, {995682, 13}, {MP_SIZE_T_MAX,0}}
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#define MUL_FFTM_TABLE2 {{1, 4}, {313, 5}, {320, 4}, {344, 5}, {423, 4}, {453, 5}, {680, 6}, {711, 5}, {743, 6}, {777, 5}, {813, 6}, {1476, 7}, {1543, 6}, {1612, 7}, {1685, 6}, {1760, 7}, {3784, 8}, {3867, 7}, {4039, 8}, {4407, 7}, {4504, 8}, {4704, 7}, {4808, 8}, {6518, 9}, {6661, 8}, {7266, 9}, {7756, 8}, {8100, 9}, {8836, 8}, {9030, 9}, {13939, 10}, {15535, 9}, {16944, 10}, {17696, 9}, {18084, 10}, {19722, 9}, {20154, 10}, {23970, 9}, {24495, 10}, {27898, 11}, {28509, 10}, {29134, 11}, {31091, 10}, {31772, 9}, {32468, 10}, {36184, 11}, {39461, 10}, {42113, 11}, {47962, 10}, {51184, 11}, {55819, 12}, {58292, 13}, {62207, 12}, {63570, 10}, {64963, 11}, {80681, 10}, {82448, 11}, {86099, 12}, {87985, 11}, {89912, 12}, {95949, 11}, {114110, 12}, {127165, 11}, {147989, 12}, {161386, 11}, {172223, 12}, {228243, 13}, {254354, 12}, {359720, 13}, {392279, 12}, {456509, 13}, {466506, 14}, {508731, 13}, {519871, 12}, {554776, 11}, {566925, 12}, {579340, 13}, {659749, 11}, {719463, 10}, {735218, 11}, {767770, 12}, {855595, 13}, {913042, 14}, {MP_SIZE_T_MAX,0}}
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#define SQR_FFT_TABLE2 {{1, 4}, {344, 5}, {360, 4}, {377, 5}, {423, 4}, {453, 5}, {555, 6}, {568, 5}, {680, 6}, {711, 5}, {743, 6}, {777, 5}, {813, 6}, {850, 5}, {869, 6}, {1880, 7}, {1922, 6}, {2009, 7}, {2053, 6}, {2144, 7}, {2191, 6}, {2289, 7}, {2727, 8}, {2849, 7}, {3109, 8}, {3178, 7}, {3248, 8}, {3393, 7}, {3468, 8}, {6518, 9}, {6661, 8}, {6957, 9}, {7756, 8}, {8460, 9}, {8836, 8}, {9030, 9}, {9850, 8}, {10066, 9}, {11976, 8}, {12239, 9}, {13939, 10}, {15535, 9}, {18084, 10}, {19722, 9}, {20154, 10}, {23970, 9}, {24495, 10}, {28509, 11}, {31091, 10}, {31772, 9}, {32468, 10}, {40326, 11}, {47962, 10}, {52305, 11}, {62207, 12}, {63570, 10}, {69326, 11}, {80681, 10}, {82448, 11}, {98051, 12}, {127165, 11}, {164920, 12}, {196129, 13}, {254354, 12}, {259924, 11}, {277377, 10}, {283451, 11}, {289658, 12}, {329862, 11}, {344468, 12}, {392279, 11}, {427785, 12}, {456509, 13}, {519871, 12}, {531255, 11}, {566925, 12}, {592026, 11}, {631776, 12}, {659749, 11}, {688959, 12}, {704046, 13}, {784582, 12}, {995682, 13}, {MP_SIZE_T_MAX,0}}
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#define SQR_FFTM_TABLE2 {{1, 4}, {278, 5}, {292, 4}, {306, 5}, {328, 4}, {336, 5}, {423, 4}, {453, 5}, {680, 6}, {711, 5}, {743, 6}, {777, 5}, {813, 6}, {1352, 7}, {1413, 6}, {1476, 7}, {1543, 6}, {1612, 7}, {1685, 6}, {1799, 7}, {3784, 8}, {3867, 7}, {4039, 8}, {4128, 7}, {4312, 8}, {5478, 9}, {5721, 8}, {6518, 9}, {6661, 8}, {6957, 9}, {7756, 8}, {8100, 9}, {13939, 10}, {15535, 9}, {16944, 10}, {17696, 9}, {18084, 10}, {19722, 9}, {20154, 10}, {23970, 9}, {24495, 10}, {27898, 11}, {31091, 10}, {36184, 11}, {39461, 10}, {42113, 11}, {47962, 10}, {49013, 11}, {55819, 12}, {58292, 13}, {62207, 12}, {63570, 10}, {64963, 11}, {80681, 12}, {95949, 11}, {114110, 12}, {127165, 11}, {138676, 12}, {161386, 11}, {164920, 12}, {228243, 13}, {254354, 12}, {359720, 13}, {392279, 12}, {456509, 13}, {466506, 14}, {508731, 13}, {519871, 12}, {554776, 11}, {566925, 12}, {579340, 13}, {659749, 12}, {688959, 13}, {784582, 12}, {855595, 13}, {913042, 14}, {MP_SIZE_T_MAX,0}}
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#define MUL_FFT_FULL_TABLE2 {{16, 2}, {1022, 1}, {1045, 2}, {1068, 4}, {1092, 2}, {1116, 4}, {1141, 1}, {1219, 2}, {1274, 1}, {1734, 4}, {1772, 1}, {1811, 2}, {2021, 1}, {2066, 4}, {2112, 6}, {2256, 5}, {2357, 4}, {2409, 1}, {2462, 2}, {2516, 3}, {2572, 2}, {2629, 1}, {2746, 2}, {2932, 4}, {3063, 6}, {3200, 2}, {3271, 4}, {3417, 1}, {3492, 3}, {3648, 4}, {3728, 5}, {3810, 1}, {3894, 2}, {4068, 3}, {4158, 4}, {4250, 2}, {4440, 5}, {4740, 4}, {4844, 1}, {4951, 3}, {5171, 2}, {5285, 1}, {5401, 4}, {5520, 2}, {5765, 1}, {5892, 2}, {6022, 4}, {6154, 6}, {6289, 5}, {6427, 2}, {6568, 4}, {6859, 1}, {7010, 4}, {7482, 1}, {7986, 4}, {8161, 2}, {8340, 4}, {8710, 2}, {8901, 5}, {9296, 1}, {9922, 3}, {10140, 2}, {10590, 1}, {11059, 2}, {11302, 1}, {11803, 2}, {12062, 4}, {12327, 1}, {14040, 4}, {14985, 1}, {15993, 2}, {17824, 5}, {19022, 4}, {19439, 1}, {20300, 3}, {20745, 1}, {23628, 2}, {24146, 4}, {24675, 1}, {28104, 4}, {29992, 1}, {32007, 2}, {35670, 1}, {36452, 4}, {38067, 1}, {40624, 3}, {41514, 1}, {47280, 4}, {50456, 3}, {53845, 1}, {56230, 2}, {57462, 1}, {58721, 4}, {61321, 3}, {62664, 6}, {65440, 2}, {71365, 1}, {72928, 4}, {74525, 1}, {81272, 3}, {83052, 1}, {84871, 3}, {86730, 1}, {94582, 4}, {96654, 2}, {98771, 4}, {100934, 1}, {105404, 2}, {107713, 1}, {130905, 2}, {142755, 1}, {162570, 3}, {166130, 1}, {169768, 3}, {173486, 1}, {177285, 2}, {197567, 4}, {206315, 3}, {215450, 1}, {229917, 2}, {234952, 1}, {261830, 2}, {267564, 5}, {273423, 2}, {291783, 5}, {298173, 6}, {304703, 4}, {325163, 3}, {346997, 2}, {395159, 4}, {412655, 1}, {430925, 2}, {440362, 1}, {523686, 2}, {535154, 3}, {571086, 5}, {583592, 4}, {596372, 1}, {650350, 2}, {664591, 3}, {694016, 2}, {724743, 5}, {740613, 6}, {756831, 2}, {790340, 4}, {825333, 1}, {861875, 3}, {880748, 6}, {919743, 5}, {939883, 1}, {MP_SIZE_T_MAX,0}}
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#define SQR_FFT_FULL_TABLE2 {{16, 2}, {1022, 1}, {1092, 2}, {1116, 1}, {1422, 2}, {1454, 1}, {1519, 2}, {1553, 1}, {1623, 2}, {1659, 1}, {1734, 4}, {1772, 3}, {1811, 2}, {2021, 1}, {2066, 4}, {2112, 6}, {2306, 5}, {2357, 4}, {2409, 3}, {2572, 4}, {2746, 2}, {2932, 4}, {3063, 6}, {3200, 2}, {3271, 4}, {3417, 2}, {3492, 3}, {3648, 4}, {3728, 5}, {3810, 1}, {3894, 4}, {4068, 1}, {4158, 2}, {4250, 4}, {4344, 6}, {4538, 5}, {4638, 4}, {4844, 1}, {4951, 3}, {5171, 2}, {5401, 4}, {5520, 2}, {5765, 1}, {5892, 2}, {6022, 4}, {6154, 6}, {6289, 2}, {6568, 4}, {6859, 1}, {7010, 4}, {7482, 1}, {7986, 4}, {8161, 2}, {8523, 4}, {8710, 6}, {9096, 5}, {9296, 4}, {9709, 1}, {9922, 3}, {10363, 2}, {10590, 1}, {10822, 2}, {11550, 1}, {11803, 2}, {12062, 4}, {12327, 1}, {12873, 2}, {13155, 3}, {13444, 1}, {14040, 4}, {14985, 1}, {15993, 2}, {16702, 1}, {17068, 2}, {17824, 1}, {18215, 4}, {18614, 5}, {19022, 4}, {19439, 1}, {19865, 3}, {20745, 1}, {21665, 2}, {23121, 1}, {23628, 2}, {24146, 4}, {24675, 1}, {28104, 4}, {29992, 1}, {32007, 2}, {35670, 1}, {36452, 4}, {38901, 1}, {40624, 3}, {41514, 2}, {46266, 1}, {47280, 4}, {50456, 3}, {53845, 1}, {58721, 4}, {61321, 3}, {62664, 2}, {64037, 1}, {65440, 2}, {71365, 5}, {74525, 4}, {79530, 1}, {81272, 3}, {83052, 2}, {88630, 1}, {94582, 4}, {96654, 2}, {98771, 1}, {112483, 4}, {114947, 1}, {130905, 2}, {142755, 5}, {149076, 6}, {152341, 3}, {155677, 1}, {162570, 3}, {166130, 2}, {169768, 3}, {173486, 2}, {197567, 4}, {201894, 3}, {206315, 1}, {261830, 2}, {267564, 5}, {273423, 7}, {279411, 9}, {291783, 7}, {298173, 6}, {304703, 4}, {325163, 3}, {346997, 2}, {395159, 4}, {412655, 7}, {421691, 10}, {430925, 6}, {450005, 5}, {469929, 1}, {523686, 2}, {583592, 4}, {596372, 6}, {609431, 5}, {622776, 1}, {650350, 3}, {694016, 2}, {724743, 1}, {790340, 4}, {825333, 1}, {861875, 3}, {880748, 6}, {919743, 5}, {939883, 1}, {MP_SIZE_T_MAX,0}}
|
||||
|
||||
/* Tuneup completed successfully, took 30 seconds */
|
||||
#define SQR_FFT_TABLE { 368, 800, 2112, 2816, 7168, 20480, 81920, 327680, 0 }
|
||||
#define SQR_FFT_MODF_THRESHOLD 264
|
||||
#define SQR_FFT_THRESHOLD 2432
|
||||
|
||||
/* Tuneup completed successfully, took 54 seconds */
|
||||
|
||||
Loading…
Reference in New Issue
Block a user