Free floating point software for linux

Rally Point is a community collaboration site designed for homeowners associations (HOAs), apartment complexes, condominiums or any other group of people who need to share files, notes, FAQS, log information, financials or car registration information. The project is really simple, allowing you to get everyone up-to-speed without training or confusion.
Main features:
- Reduce costs by communicating by the web instead of mail
- Increase collaborative activities by getting everyone involved
- Solve parking problems
- Post financial information for each unit
- Post files
- Provide a convenient place to post frequently asked questions
- Update everyone automatically with RSS
- Extract the information in Rally Point for other uses with CSV and XML

The MPFR library is a C library for multiple-precision floating-point computations with exact rounding (also called correct rounding). It is based on the GMP multiple-precision library.

The main goal of MPFR is to provide a library for multiple-precision floating-point computation which is both efficient and has a well-defined semantics. It copies the good ideas from the ANSI/IEEE-754 standard for double-precision floating-point arithmetic (53-bit mantissa).

MPFR is free. It is distributed under the GNU Lesser General Public License (GNU Lesser GPL). The library has been registered in France by the Agence de Protection des Programmes under the number IDDN FR 001 120020 00 R P 2000 000 10800, on 15 March 2000.

This license guarantees your freedom to share and change MPFR, to make sure MPFR is free for all its users. Unlike the ordinary General Public License, the Lesser GPL enables developers of non-free programs to use MPFR in their programs. If you have written a new function for MPFR or improved an existing one, please share your work!

hfloat (for huge floats) is a library package for doing calculations with floating point numbers of extreme precision. hfloat library is optimised for computations with 1000 to several million digits.

The computations can be done in (almost) arbitrary radix. The library contains routines for addition, subtraction, multiplication, division, n-th power, square root, n-th root, logarithm, exponentiation and more.

There are implementations of several superlinear converging algorithms for the computation of pi. The computation of 1 million decimal digits of pi takes about 15 seconds on an AMD64/2.2GHz.

Math::BigInt::Calc is a pure Perl module to support Math::BigInt.

SYNOPSIS

Provides support for big integer calculations. Not intended to be used by other modules. Other modules which sport the same functions can also be used to support Math::BigInt, like Math::BigInt::GMP or Math::BigInt::Pari.

In order to allow for multiple big integer libraries, Math::BigInt was rewritten to use library modules for core math routines. Any module which follows the same API as this can be used instead by using the following:

use Math::BigInt lib => libname;
libname is either the long name (Math::BigInt::Pari), or only the short version like Pari.

METHODS

The following functions MUST be defined in order to support the use by Math::BigInt v1.70 or later:

api_version() return API version, 1 for v1.70, 2 for v1.83
_new(string) return ref to new object from ref to decimal string
_zero() return a new object with value 0
_one() return a new object with value 1
_two() return a new object with value 2
_ten() return a new object with value 10

_str(obj) return ref to a string representing the object
_num(obj) returns a Perl integer/floating point number
NOTE: because of Perl numeric notation defaults,
the _numified obj may lose accuracy due to
machine-dependent floating point size limitations

_add(obj,obj) Simple addition of two objects
_mul(obj,obj) Multiplication of two objects
_div(obj,obj) Division of the 1st object by the 2nd
In list context, returns (result,remainder).
NOTE: this is integer math, so no
fractional part will be returned.
The second operand will be not be 0, so no need to
check for that.
_sub(obj,obj) Simple subtraction of 1 object from another
a third, optional parameter indicates that the params
are swapped. In this case, the first param needs to
be preserved, while you can destroy the second.
sub (x,y,1) => return x - y and keep x intact!
_dec(obj) decrement object by one (input is guaranteed to be > 0)
_inc(obj) increment object by one


_acmp(obj,obj) operator for objects (return -1, 0 or 1)

_len(obj) returns count of the decimal digits of the object
_digit(obj,n) returns the nth decimal digit of object

_is_one(obj) return true if argument is 1
_is_two(obj) return true if argument is 2
_is_ten(obj) return true if argument is 10
_is_zero(obj) return true if argument is 0
_is_even(obj) return true if argument is even (0,2,4,6..)
_is_odd(obj) return true if argument is odd (1,3,5,7..)

_copy return a ref to a true copy of the object

_check(obj) check whether internal representation is still intact
return 0 for ok, otherwise error message as string

_from_hex(str) return new object from a hexadecimal string
_from_bin(str) return new object from a binary string
_from_oct(str) return new object from an octal string

_as_hex(str) return string containing the value as
unsigned hex string, with the 0x prepended.
Leading zeros must be stripped.
_as_bin(str) Like as_hex, only as binary string containing only
zeros and ones. Leading zeros must be stripped and a
0b must be prepended.

_rsft(obj,N,B) shift object in base B by N digits right
_lsft(obj,N,B) shift object in base B by N digits left

_xor(obj1,obj2) XOR (bit-wise) object 1 with object 2
Note: XOR, AND and OR pad with zeros if size mismatches
_and(obj1,obj2) AND (bit-wise) object 1 with object 2
_or(obj1,obj2) OR (bit-wise) object 1 with object 2

_mod(obj1,obj2) Return remainder of div of the 1st by the 2nd object
_sqrt(obj) return the square root of object (truncated to int)
_root(obj) return the nth (n >= 3) root of obj (truncated to int)
_fac(obj) return factorial of object 1 (1*2*3*4..)
_pow(obj1,obj2) return object 1 to the power of object 2
return undef for NaN
_zeros(obj) return number of trailing decimal zeros
_modinv return inverse modulus
_modpow return modulus of power ($x ** $y) % $z
_log_int(X,N) calculate integer log() of X in base N
X >= 0, N >= 0 (return undef for NaN)
returns (RESULT, EXACT) where EXACT is:
1 : result is exactly RESULT
0 : result was truncated to RESULT
undef : unknown whether result is exactly RESULT
_gcd(obj,obj) return Greatest Common Divisor of two objects
The following functions are REQUIRED for an api_version of 2 or greater:
_1ex($x) create the number 1Ex where x >= 0
_alen(obj) returns approximate count of the decimal digits of the
object. This estimate MUST always be greater or equal
to what _len() returns.
_nok(n,k) calculate n over k (binomial coefficient)

The following functions are optional, and can be defined if the underlying lib has a fast way to do them. If undefined, Math::BigInt will use pure Perl (hence slow) fallback routines to emulate these:

_signed_or
_signed_and
_signed_xor

Input strings come in as unsigned but with prefix (i.e. as 123, 0xabc or 0b1101).

So the library needs only to deal with unsigned big integers. Testing of input parameter validity is done by the caller, so you need not worry about underflow (f.i. in _sub(), _dec()) nor about division by zero or similar cases.

The first parameter can be modified, that includes the possibility that you return a reference to a completely different object instead. Although keeping the reference and just changing its contents is preferred over creating and returning a different reference.

Return values are always references to objects, strings, or true/false for comparison routines.

MiniCppUnit is another C++ port of the famous JUnit framework for unit testing. Unlike CppUnit, MiniCppUnit follows a minimalistic aproach: The basic features are the same but in only bout 500 lines of code! No library instalation is needed, etc.
This C++ framework takes advantadge of OO C++ techiques and the standard library. The TestFixtures (test classes) definition is done through C macros, ala CppUnit.
MiniCppUnit project was originated as a tool for undergrade computer students, they wrote their tests using this framework, as well as a code example of a number of GoF Design Patterns (singleton, command, factory, composite).
Enhancements:
- The test case now exits after the first failure.
- Reliable floating point (double/float) assertions were added, including: fuzzy equals using proportional (to the expected) epsilon, not-a-number reliability, and a new macro ASSERT_EQUALS_EPSILON to use a different proportional epsilon.
- VisualC++ support and examples were added.
- More colors on the console output can be disabled.
- Colors are disabled by default when compiled in MS Visual.
- Catalan output strings and in-code comments were removed.
- UsageExample.cxx now uses all macros and features.

leJOS is a Java-based replacement firmware (OS) for LEGO Mindstorms programmable bricks, including RCX and NXT.
It supports threads, exceptions, synchronization, floating point arithmetic, strings, and so on, but there is no garbage collection yet. The project is also designed to be portable to other small devices.
Enhancements:
- leJOS NXJ is a full replacement firmware JVM that allows you to run Java programs on the LEGO Mindstorms NXT brick.
- leJOS NXJ works with Windows, Linux, and Mac OS X.
- Version 0.3 includes a flash file system with implementations of java.io.File, FileInputStream, and FileOutputStream, a menu system, Java streams over Bluetooth and USB, support for LCP (LEGO Communication Protocol) including file commands, a file explorer that runs on your PC, and much more.

Factor project is a language based around a programming paradigm that encourages simple, testable and reusable code.
Factors main influences are Joy for the syntax, Forth for the implementation techniques, and Lisp for the object model. The source is released under a BSD-style license. Share it freely.
Main features:
- Runs on FreeBSD, Linux, Mac OS X and Windows.
- Native code compiler for x86 and PowerPC.
- Minimal postfix syntax with an extensible parser.
- Image-based environment offering orthogonal persistence.
- Polymorphism through predicate-based dynamic dispatch.
- Language support for delegation-based design patterns.
- Data structures include linked lists, vectors, and hashtables.
- User-defined types, known as tuples.
- Rich math library including big integers, floating point, ratios, complex numbers.
- Continuations.
- Profiling, tracing, single-stepping, browsing.
- Static stack effect inference.
- HTTP server and continuation-based web framework.
- C library interface.
- SDL graphics library interface.
- Focus on interactive and test-driven development.
- A plugin for the jEdit text editor offers a powerful development environment.
Reflection
Factor is defined in terms of itself as much as possible. Every layer of the system is inspectable and editable at runtime. Everything in the system carries consistent object semantics, and every object can be queried for its type and shape.
Metaprogramming
A powerful meta-level takes advantage of the duality between code and data. The object system, and even tools such as steppers, browsers, inspectors and profilers are built within the language framework.
Transparency
Nothing is hidden from the programmer. Factor is designed not as a black box, but a tool box. The programmer is encouraged to mold the language to fit the problem.
Simplicity
Everything is as simple as possible. The system should be small enough that one person can study the code and understand it completely. Unnecessary code and features are not included.