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Extended Plugin 3.1
Extended Plugin - REALbasic plug-in adds new data types more>>
ExtInteger is the type ZZ of Victor Shoups multi-precision library, NTL. Except for available memory, there is no limitation on the size of an ExtInteger. So you can multiply a 100 digit integer by another 100 digit integer giving the exact 200 digit integer.
ExtFloat is the type RR of NTL. You can set both the bit precision and the decimal output precision for ExtFloat, with no limitation except for available memory. It might take awhile, but you can now calculate pi in a REALbasic program to a million decimal places, or more. The power of 10 for ExtFloat can range from about -60,000,000 to +60,000,000 as compared to -308 to +308 for a Double.
ExtComplex doesnt exist in NTL. I made it from two ExtFloats. So the real and imaginary parts of an ExtComplex use the bit precision and the decimal output precision set for ExtFloat. So you can now use complex numbers with almost unlimited precision.
IAExtFloat also doesnt exist in Victor Shoups NTL. It is a data type which is used for Interval Arithmetic, which is arithmetic with inequalities. An IAExtFloat number is represented by two ExtFloat numbers (a, b), where one thinks of an ExtFloat number x being in the interval between a and b. That is: a<<less
ExtFloat is the type RR of NTL. You can set both the bit precision and the decimal output precision for ExtFloat, with no limitation except for available memory. It might take awhile, but you can now calculate pi in a REALbasic program to a million decimal places, or more. The power of 10 for ExtFloat can range from about -60,000,000 to +60,000,000 as compared to -308 to +308 for a Double.
ExtComplex doesnt exist in NTL. I made it from two ExtFloats. So the real and imaginary parts of an ExtComplex use the bit precision and the decimal output precision set for ExtFloat. So you can now use complex numbers with almost unlimited precision.
IAExtFloat also doesnt exist in Victor Shoups NTL. It is a data type which is used for Interval Arithmetic, which is arithmetic with inequalities. An IAExtFloat number is represented by two ExtFloat numbers (a, b), where one thinks of an ExtFloat number x being in the interval between a and b. That is: a<<less
Download (1.2MB)
Added: 2007-01-26 License: Freeware Price:
1003 downloads
Precision Plug-in 1.8
REALbasic plug-in adds random number functions. more>>
Precision Plugin for REALbasic is a light version of my MPCalc plugin. It has a different and easier to use interface.
It can handle numbers with up to 30,000 decimal digits. It can also handle numbers whose absolute values lie between about 1e-40000000 and 1e+40000000.
As a Carbon, PPC, and x86 plugin, it can be used to build Mac OS 9.x, Mac OS X, or Windows applications.
It has almost all the REALbasic built in functions at much higher precisions. In version 1.6 Ive added a "last" argument. Its described in the documentation.
In version 1.7 there is a random number generator, which can be reseeded. v. 1.7.2 speeds up the factorial and xToy functions. Version 1.8 adds a primality test based on Victor Shoups NTL implementation of the Miller-Rabin Test.
<<lessIt can handle numbers with up to 30,000 decimal digits. It can also handle numbers whose absolute values lie between about 1e-40000000 and 1e+40000000.
As a Carbon, PPC, and x86 plugin, it can be used to build Mac OS 9.x, Mac OS X, or Windows applications.
It has almost all the REALbasic built in functions at much higher precisions. In version 1.6 Ive added a "last" argument. Its described in the documentation.
In version 1.7 there is a random number generator, which can be reseeded. v. 1.7.2 speeds up the factorial and xToy functions. Version 1.8 adds a primality test based on Victor Shoups NTL implementation of the Miller-Rabin Test.
Download (363KB)
Added: 2004-06-01 License: Freeware Price:
1971 downloads
PrimeGen 1.0
PrimeGen - Prime integers generator more>>
PrimeGen is a generator of very probable prime integers built using REALbasic and my Precision Plugin. It is based on Victor Shoups NTL implementation of the Miller-Rabin Test.
It can handle numbers with up to 30,000 decimal digits.
In short, the test provides a probabilistic determination of the primality of any positive integer. Increasing the number of trials involved in the test decreases the probability of the test being wrong.
If the test says that a number is not prime, then it is always correct. But if the test says that a number is prime, there is a probability it is wrong. For the 30 trials used in PrimeGen that probability is less than about 8.7e-19 ((1/4)^30).
<<lessIt can handle numbers with up to 30,000 decimal digits.
In short, the test provides a probabilistic determination of the primality of any positive integer. Increasing the number of trials involved in the test decreases the probability of the test being wrong.
If the test says that a number is not prime, then it is always correct. But if the test says that a number is prime, there is a probability it is wrong. For the 30 trials used in PrimeGen that probability is less than about 8.7e-19 ((1/4)^30).
Download (267KB)
Added: 2006-04-19 License: Freeware Price:
1283 downloads
PolyRoots 2.0
PolyRoots is a program that finds the roots of a polynomial to any chosen accuracy using Laguerres Method more>>
PolyRoots is a program that finds the roots of a polynomial to any chosen accuracy using Laguerres Method. The coefficients of the polynomial can be real or complex. PolyRoots uses the multi-precision RR type from Victor Shoups NTL.
PolyRoots is a Universal Cocoa application.
It allows polynomial entry in the form: x^2-4x+3.
<<lessPolyRoots is a Universal Cocoa application.
It allows polynomial entry in the form: x^2-4x+3.
Download (280KB)
Added: 2006-11-28 License: Freeware Price:
1062 downloads
PolyFactors 1.0
PolyFactors - Factors univariate polynomials over the integers more>>
PolyFactors factors univariate polynomials over the integers.
PolyFactors uses the ZZX polynomial type and the ZZXFactoring routines from Victor Shoups NTL (http://www.shoup.net/ntl/). He deserves most of the credit.
PolyFactors just provides a GUI for input and output.
PolyFactors is a Universal Cocoa application.
<<lessPolyFactors uses the ZZX polynomial type and the ZZXFactoring routines from Victor Shoups NTL (http://www.shoup.net/ntl/). He deserves most of the credit.
PolyFactors just provides a GUI for input and output.
PolyFactors is a Universal Cocoa application.
Download (653KB)
Added: 2006-05-15 License: Freeware Price:
1257 downloads
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