| Copyright | Copyright (c) 2010, Patrick Perry <patperry@gmail.com> |
|---|---|
| License | BSD3 |
| Maintainer | Patrick Perry <patperry@gmail.com> |
| Stability | experimental |
| Safe Haskell | None |
| Language | Haskell98 |
Data.AEq
Description
A type class for approximate and exact equalilty comparisons and instances for common data types.
Documentation
class Eq a => AEq a where Source
Types with approximate and exact equality comparisons.
Minimal complete definition
Nothing
Methods
(===) :: a -> a -> Bool infix 4 Source
An exact equality comparison.
For real IEEE types, two values are equivalent in the
following cases:
- both values are
+0; - both values are
-0; - both values are nonzero and equal to each other
(according to
==); - both values are
NaNwith the same payload and sign.
For complex IEEE types, two values are equivalent if their
real and imaginary parts are equivalent.
(~==) :: a -> a -> Bool infix 4 Source
An approximate equality comparison operator.
For real IEEE types, two values are approximately equal in the
following cases:
- at least half of their significand bits agree;
- both values are less than
epsilon; - both values are
NaN.
For complex IEEE types, two values are approximately equal in the
followiing cases:
- their magnitudes are approximately equal and the angle between
them is less than
32*;epsilon - both magnitudes are less than
epsilon; - both have a
NaNreal or imaginary part.
Admitedly, the 32 is a bit of a hack. Future versions of the
library may switch to a more principled test of the angle.
Instances
| AEq Bool | |
| AEq Char | |
| AEq Double | |
| AEq Float | |
| AEq Int | |
| AEq Int8 | |
| AEq Int16 | |
| AEq Int32 | |
| AEq Int64 | |
| AEq Integer | |
| AEq Ordering | |
| AEq Word | |
| AEq Word8 | |
| AEq Word16 | |
| AEq Word32 | |
| AEq Word64 | |
| AEq () | |
| AEq WordPtr | |
| AEq IntPtr | |
| AEq CChar | |
| AEq CSChar | |
| AEq CUChar | |
| AEq CShort | |
| AEq CUShort | |
| AEq CInt | |
| AEq CUInt | |
| AEq CLong | |
| AEq CULong | |
| AEq CLLong | |
| AEq CULLong | |
| AEq CFloat | |
| AEq CDouble | |
| AEq CPtrdiff | |
| AEq CSize | |
| AEq CWchar | |
| AEq CSigAtomic | |
| AEq CClock | |
| AEq CTime | |
| AEq CIntPtr | |
| AEq CUIntPtr | |
| AEq CIntMax | |
| AEq CUIntMax | |
| AEq a => AEq [a] | |
| AEq (StablePtr a) | |
| AEq (Ptr a) | |
| AEq (FunPtr a) | |
| AEq (Complex Double) | |
| AEq (Complex Float) | |
| AEq (Complex CFloat) | |
| AEq (Complex CDouble) | |
| AEq (ForeignPtr a) | |
| AEq a => AEq (Maybe a) | |
| (AEq a, AEq b) => AEq (Either a b) | |
| (AEq a, AEq b) => AEq (a, b) | |
| (AEq a, AEq b, AEq c) => AEq (a, b, c) | |
| (AEq a, AEq b, AEq c, AEq d) => AEq (a, b, c, d) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e) => AEq (a, b, c, d, e) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f) => AEq (a, b, c, d, e, f) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g) => AEq (a, b, c, d, e, f, g) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h) => AEq (a, b, c, d, e, f, g, h) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i) => AEq (a, b, c, d, e, f, g, h, i) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j) => AEq (a, b, c, d, e, f, g, h, i, j) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j, AEq k) => AEq (a, b, c, d, e, f, g, h, i, j, k) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j, AEq k, AEq l) => AEq (a, b, c, d, e, f, g, h, i, j, k, l) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j, AEq k, AEq l, AEq m) => AEq (a, b, c, d, e, f, g, h, i, j, k, l, m) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j, AEq k, AEq l, AEq m, AEq n) => AEq (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | |
| (AEq a, AEq b, AEq c, AEq d, AEq e, AEq f, AEq g, AEq h, AEq i, AEq j, AEq k, AEq l, AEq m, AEq n, AEq o) => AEq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) |