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- <?xml version="1.0"?>
- <doc>
- <assembly>
- <name>Mono.Math</name>
- </assembly>
- <members>
- <member name="F:Mono.Math.BigInteger.DEFAULT_LEN">
- <summary>
- Default length of a BigInteger in bytes
- </summary>
- </member>
- <member name="F:Mono.Math.BigInteger.length">
- <summary>
- The Length of this BigInteger
- </summary>
- </member>
- <member name="F:Mono.Math.BigInteger.data">
- <summary>
- The data for this BigInteger
- </summary>
- </member>
- <member name="F:Mono.Math.BigInteger.smallPrimes">
- <summary>
- Table of primes below 2000.
- </summary>
- <remarks>
- <para>
- This table was generated using Mathematica 4.1 using the following function:
- </para>
- <para>
- <code>
- PrimeTable [x_] := Prime [Range [1, PrimePi [x]]]
- PrimeTable [6000]
- </code>
- </para>
- </remarks>
- </member>
- <member name="M:Mono.Math.BigInteger.genRandom(System.Int32,System.Security.Cryptography.RandomNumberGenerator)">
- <summary>
- Generates a new, random BigInteger of the specified length.
- </summary>
- <param name="bits">The number of bits for the new number.</param>
- <param name="rng">A random number generator to use to obtain the bits.</param>
- <returns>A random number of the specified length.</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.genRandom(System.Int32)">
- <summary>
- Generates a new, random BigInteger of the specified length using the default RNG crypto service provider.
- </summary>
- <param name="bits">The number of bits for the new number.</param>
- <returns>A random number of the specified length.</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.randomize(System.Security.Cryptography.RandomNumberGenerator)">
- <summary>
- Randomizes the bits in "this" from the specified RNG.
- </summary>
- <param name="rng">A RNG.</param>
- </member>
- <member name="M:Mono.Math.BigInteger.randomize">
- <summary>
- Randomizes the bits in "this" from the default RNG.
- </summary>
- </member>
- <member name="M:Mono.Math.BigInteger.testBit(System.UInt32)">
- <summary>
- Tests if the specified bit is 1.
- </summary>
- <param name="bitNum">The bit to test. The least significant bit is 0.</param>
- <returns>True if bitNum is set to 1, else false.</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.Normalize">
- <summary>
- Normalizes this by setting the length to the actual number of
- uints used in data and by setting the sign to Sign.Zero if the
- value of this is 0.
- </summary>
- </member>
- <member name="M:Mono.Math.BigInteger.NextHightestPrime(Mono.Math.BigInteger)">
- <summary>
- Generates the smallest prime >= bi
- </summary>
- <param name="bi">A BigInteger</param>
- <returns>The smallest prime >= bi. More mathematically, if bi is prime: bi, else Prime [PrimePi [bi] + 1].</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.Incr2">
- <summary>
- Increments this by two
- </summary>
- </member>
- <member name="T:Mono.Math.BigInteger.Kernel">
- <summary>
- Low level functions for the BigInteger
- </summary>
- </member>
- <member name="M:Mono.Math.BigInteger.Kernel.AddSameSign(Mono.Math.BigInteger,Mono.Math.BigInteger)">
- <summary>
- Adds two numbers with the same sign.
- </summary>
- <param name="bi1">A BigInteger</param>
- <param name="bi2">A BigInteger</param>
- <returns>bi1 + bi2</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.Kernel.Compare(Mono.Math.BigInteger,Mono.Math.BigInteger)">
- <summary>
- Compares two BigInteger
- </summary>
- <param name="bi1">A BigInteger</param>
- <param name="bi2">A BigInteger</param>
- <returns>The sign of bi1 - bi2</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.Kernel.SingleByteDivideInPlace(Mono.Math.BigInteger,System.UInt32)">
- <summary>
- Performs n / d and n % d in one operation.
- </summary>
- <param name="n">A BigInteger, upon exit this will hold n / d</param>
- <param name="d">The divisor</param>
- <returns>n % d</returns>
- </member>
- <member name="M:Mono.Math.BigInteger.Kernel.Multiply(System.UInt32[],System.UInt32,System.UInt32,System.UInt32[],System.UInt32,System.UInt32,System.UInt32[],System.UInt32)">
- <summary>
- Multiplies the data in x [xOffset:xOffset+xLen] by
- y [yOffset:yOffset+yLen] and puts it into
- d [dOffset:dOffset+xLen+yLen].
- </summary>
- </member>
- <member name="M:Mono.Math.BigInteger.Kernel.MultiplyMod2p32pmod(System.UInt32[],System.Int32,System.Int32,System.UInt32[],System.Int32,System.Int32,System.UInt32[],System.Int32,System.Int32)">
- <summary>
- Multiplies the data in x [xOffset:xOffset+xLen] by
- y [yOffset:yOffset+yLen] and puts the low mod words into
- d [dOffset:dOffset+mod].
- </summary>
- </member>
- <member name="T:Mono.Math.Prime.ConfidenceFactor">
- <summary>
- A factor of confidence.
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.ExtraLow">
- <summary>
- Only suitable for development use, probability of failure may be greater than 1/2^20.
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.Low">
- <summary>
- Suitable only for transactions which do not require forward secrecy. Probability of failure about 1/2^40
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.Medium">
- <summary>
- Designed for production use. Probability of failure about 1/2^80.
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.High">
- <summary>
- Suitable for sensitive data. Probability of failure about 1/2^160.
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.ExtraHigh">
- <summary>
- Use only if you have lots of time! Probability of failure about 1/2^320.
- </summary>
- </member>
- <member name="F:Mono.Math.Prime.ConfidenceFactor.Provable">
- <summary>
- Only use methods which generate provable primes. Not yet implemented.
- </summary>
- </member>
- <member name="T:Mono.Math.Prime.Generator.NextPrimeFinder">
- <summary>
- Finds the next prime after a given number.
- </summary>
- </member>
- <member name="M:Mono.Math.Prime.Generator.PrimeGeneratorBase.PostTrialDivisionTests(Mono.Math.BigInteger)">
- <summary>
- Performs primality tests on bi, assumes trial division has been done.
- </summary>
- <param name="bi">A BigInteger that has been subjected to and passed trial division</param>
- <returns>False if bi is composite, true if it may be prime.</returns>
- <remarks>The speed of this method is dependent on Confidence</remarks>
- </member>
- <member name="M:Mono.Math.Prime.PrimalityTests.RabinMillerTest(Mono.Math.BigInteger,Mono.Math.Prime.ConfidenceFactor)">
- <summary>
- Probabilistic prime test based on Rabin-Miller's test
- </summary>
- <param name="bi" type="BigInteger.BigInteger">
- <para>
- The number to test.
- </para>
- </param>
- <param name="confidence" type="int">
- <para>
- The number of chosen bases. The test has at least a
- 1/4^confidence chance of falsely returning True.
- </para>
- </param>
- <returns>
- <para>
- True if "this" is a strong pseudoprime to randomly chosen bases.
- </para>
- <para>
- False if "this" is definitely NOT prime.
- </para>
- </returns>
- </member>
- </members>
- </doc>
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