integer-gmp-1.1: Integer library based on GMP
Copyright(c) Herbert Valerio Riedel 2014
LicenseBSD3
Maintainerghc-devs@haskell.org
Stabilityprovisional
Portabilitynon-portable (GHC Extensions)
Safe HaskellNone
LanguageHaskell2010

GHC.Integer.GMP.Internals

Description

 
Synopsis

The Integer type

data Integer where Source #

Arbitrary precision integers. In contrast with fixed-size integral types such as Int, the Integer type represents the entire infinite range of integers.

Integers are stored in a kind of sign-magnitude form, hence do not expect two's complement form when using bit operations.

If the value is small (fit into an Int), IS constructor is used. Otherwise Integer and IN constructors are used to store a BigNat representing respectively the positive or the negative value magnitude.

Invariant: Integer and IN are used iff value doesn't fit in IS

Bundled Patterns

pattern S# :: Int# -> Integer

Deprecated: Use IS constructor instead

pattern Jn# :: BigNat -> Integer

Deprecated: Use IN constructor instead

pattern Jp# :: BigNat -> Integer

Deprecated: Use IP constructor instead

Instances

Instances details
Eq Integer 
Instance details

Defined in GHC.Num.Integer

Ord Integer 
Instance details

Defined in GHC.Num.Integer

isValidInteger# :: Integer -> Int# Source #

Deprecated: Use integerCheck# instead

Basic Integer operations

Additional Integer operations

gcdInteger :: Integer -> Integer -> Integer Source #

Deprecated: Use integerGcd instead

lcmInteger :: Integer -> Integer -> Integer Source #

Deprecated: Use integerLcm instead

sqrInteger :: Integer -> Integer Source #

Deprecated: Use integerSqr instead

Additional conversion operations to Integer

wordToNegInteger :: Word# -> Integer Source #

Deprecated: Use integerFromWordNeg# instead

bigNatToInteger :: BigNat -> Integer Source #

Deprecated: Use integerFromBigNat# instead

bigNatToNegInteger :: BigNat -> Integer Source #

Deprecated: Use integerFromBigNatNeg# instead

The BigNat type

data BigNat Source #

A lifted BigNat

Represented as an array of limbs (Word themselves use machine order).

Invariant (canonical representation): higher Word# is non-zero.

As a consequence, zero is represented with a WordArray# whose size is 0.

Constructors

BN# 

Fields

isValidBigNat# :: BigNat -> Int# Source #

Deprecated: Use bigNatCheck# instead

sizeofBigNat# :: BigNat -> GmpSize# Source #

Deprecated: Use bigNatSize# instead

zeroBigNat :: BigNat Source #

Deprecated: Use bigNatZero instead

oneBigNat :: BigNat Source #

Deprecated: Use bigNatOne instead

BigNat arithmetic operations

plusBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatAdd instead

plusBigNatWord :: BigNat -> GmpLimb# -> BigNat Source #

Deprecated: Use bigNatAddWord# instead

timesBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatMul instead

timesBigNatWord :: BigNat -> GmpLimb# -> BigNat Source #

Deprecated: Use bigNatMulWord# instead

sqrBigNat :: BigNat -> BigNat Source #

Deprecated: Use bigNatSqr instead

quotRemBigNat :: BigNat -> BigNat -> (# BigNat, BigNat #) Source #

Deprecated: Use bigNatQuotRem# instead

quotRemBigNatWord :: BigNat -> GmpLimb# -> (# BigNat, GmpLimb# #) Source #

Deprecated: Use bigNatQuotRemWord# instead

quotBigNatWord :: BigNat -> GmpLimb# -> BigNat Source #

Deprecated: Use bigNatQuotWord# instead

quotBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatQuot instead

remBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatRem instead

remBigNatWord :: BigNat -> GmpLimb# -> Word# Source #

Deprecated: Use bigNatRemWord# instead

gcdBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatGcd instead

gcdBigNatWord :: BigNat -> Word# -> Word# Source #

Deprecated: Use bigNatGcdWord# instead

BigNat logic operations

shiftRBigNat :: BigNat -> Int# -> BigNat Source #

Deprecated: Use bigNatShiftR# instead

shiftLBigNat :: BigNat -> Int# -> BigNat Source #

Deprecated: Use bigNatShiftL# instead

testBitBigNat :: BigNat -> Int# -> Bool Source #

Deprecated: Use bigNatTestBit# instead

clearBitBigNat :: BigNat -> Int# -> BigNat Source #

Deprecated: Use bigNatClearBit# instead

complementBitBigNat :: BigNat -> Int# -> BigNat Source #

Deprecated: Use bigNatComplementBit# instead

setBitBigNat :: BigNat -> Int# -> BigNat Source #

Deprecated: Use bigNatSetBit# instead

andBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatAnd instead

xorBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatXor instead

popCountBigNat :: BigNat -> Int# Source #

Deprecated: Use bigNatPopCount# instead

orBigNat :: BigNat -> BigNat -> BigNat Source #

Deprecated: Use bigNatOr instead

bitBigNat :: Int# -> BigNat Source #

Deprecated: Use bigNatBit# instead

BigNat comparison predicates

isZeroBigNat :: BigNat -> Bool Source #

Deprecated: Use bigNatIsZero instead

compareBigNatWord :: BigNat -> GmpLimb# -> Ordering Source #

Deprecated: Use bigNatCompareWord# instead

compareBigNat :: BigNat -> BigNat -> Ordering Source #

Deprecated: Use bigNatCompare instead

eqBigNatWord :: BigNat -> GmpLimb# -> Bool Source #

Deprecated: Use bigNatEqWord# instead

eqBigNatWord# :: BigNat -> GmpLimb# -> Int# Source #

Deprecated: Use bigNatEqWord# instead

eqBigNat :: BigNat -> BigNat -> Bool Source #

Deprecated: Use bigNatEq instead

eqBigNat# :: BigNat -> BigNat -> Int# Source #

Deprecated: Use bigNatEq# instead

gtBigNatWord# :: BigNat -> GmpLimb# -> Int# Source #

Deprecated: Use bigNatGtWord# instead

Import/export functions

Compute size of serialisation

sizeInBaseBigNat :: BigNat -> Int# -> Word# Source #

Deprecated: Use bigNatSizeInBase# instead

sizeInBaseInteger :: Integer -> Int# -> Word# Source #

Deprecated: Use integerSizeInBase# instead

sizeInBaseWord# :: Word# -> Int# -> Word# Source #

Deprecated: Use wordSizeInBase# instead

Export

exportBigNatToAddr :: BigNat -> Addr# -> Int# -> IO Word Source #

Deprecated: Use bigNatToAddr# instead

Import

importBigNatFromAddr :: Addr# -> Word# -> Int# -> IO BigNat Source #

Deprecated: Use bigNatFromAddr# instead