0.7.4 February 12th 2021
- Fixes #50
x ^ C ~ y
erroneously deemed hard insoluable, a contradiction, when C
is some type family other than +,-,*,^
0.7.3 January 1st 2021
0.7.2 March 9 2020
- Fixes #44 infinite loop due to boxed equality
0.7.1 February 6th 2020
- Add support for GHC 8.10.1-alpha2
- Fixes #23: Can't figure out
+
commutes in some contexts on GHC 8.6.3
- Fixes #28: Using the solver seems to break GHC
- Fixes #34: inequality solver mishandles subtraction
0.7 August 26th 2019
- Require KnownNat constraints when solving with constants
0.6.2 July 10th 2018
- Add support for GHC 8.6.1-alpha1
- Solve larger inequalities from smaller inequalities, e.g.
a <= n
implies a <= n + 1
0.6.1 May 9th 2018
- Stop solving
x + y ~ a + b
by asking GHC to solve x ~ a
and y ~ b
as
this leads to a situation where we find a solution that is not the most
general.
- Stop using the smallest solution to an inequality to solve an equality, as
this leads to finding solutions that are not the most general.
- Solve smaller inequalities from larger inequalities, e.g.
1 <= 2*x
implies 1 <= x
x + 2 <= y
implies x <= y
and 2 <= y
0.6 April 23rd 2018
- Solving constraints with
a-b
will emit b <= a
constraints. e.g. solving
n-1+1 ~ n
will emit a 1 <= n
constraint.
- If you need subtraction to be treated as addition with a negated operarand
run with
-fplugin-opt GHC.TypeLits.Normalise:allow-negated-numbers
, and
the b <= a
constraint won't be emitted. Note that doing so can lead to
unsound behaviour.
- Try to solve equalities using smallest solution of inequalities:
- Solve
x + 1 ~ y
using 1 <= y
=> x + 1 ~ 1
=> x ~ 0
- Solve inequalities using simple transitivity rules:
2 <= x
implies 1 <= x
x <= 9
implies x <= 10
- Solve inequalities using simple monotonicity of addition rules:
2 <= x
implies 2 + 2*x <= 3*x
- Solve inequalities using simple monotonicity of multiplication rules:
- Solve inequalities using simple monotonicity of exponentiation rules:
- Solve inequalities using powers of 2 and monotonicity of exponentiation:
2 <= x
implies 2^(2 + 2*x) <= 2^(3*x)
0.5.10 April 15th 2018
- Add support for GHC 8.5.20180306
0.5.9 March 17th 2018
- Add support for GHC 8.4.1
0.5.8 January 4th 2018
- Add support for GHC 8.4.1-alpha1
0.5.7 November 7th 2017
- Solve inequalities such as:
1 <= a + 3
0.5.6 October 31st 2017
- Fixes bugs:
(x + 1) ~ (2 * y)
no longer implies ((2 * (y - 1)) + 1) ~ x
0.5.5 October 22nd 2017
- Solve inequalities when their normal forms are the same, i.e.
(2 <= (2 ^ (n + d)))
implies (2 <= (2 ^ (d + n)))
- Find more unifications:
8^x - 2*4^x ~ 8^y - 2*4^y ==> [x := y]
0.5.4 October 14th 2017
- Perform normalisations such as:
2^x * 4^x ==> 8^x
0.5.3 May 15th 2017
0.5.2 January 15th 2017
- Fixes bugs:
- Reification from SOP to Type sometimes loses product terms
0.5.1 September 29th 2016
- Fixes bugs:
- Cannot solve an equality for the second time in a definition group
0.5 August 17th 2016
- Solve simple inequalities, i.e.:
a <= a + 1
2a <= 3a
1 <= a^b
0.4.6 July 21th 2016
- Reduce "x^(-y) * x^y" to 1
- Fixes bugs:
- Subtraction in exponent induces infinite loop
0.4.5 July 20th 2016
- Fixes bugs:
- Reifying negative exponent causes GHC panic
0.4.4 July 19th 2016
- Fixes bugs:
- Rounding error in
logBase
calculation
0.4.3 July 18th 2016
- Fixes bugs:
- False positive: "f :: (CLog 2 (2 ^ n) ~ n, (1 <=? n) ~ True) => Proxy n -> Proxy (n+d)"
0.4.2 July 8th 2016
- Find more unifications:
(2*e ^ d) ~ (2*e*a*c) ==> [a*c := 2*e ^ (d-1)]
a^d * a^e ~ a^c ==> [c := d + e]
x+5 ~ y ==> [x := y - 5]
, but only when x+5 ~ y
is a given constraint
0.4.1 February 4th 2016
- Find more unifications:
F x y k z ~ F x y (k-1+1) z
==> [k := k], where F
can be any type function
0.4 January 19th 2016
- Stop using 'provenance' hack to create conditional evidence (GHC 8.0+ only)
- Find more unifications:
F x + 2 - 1 - 1 ~ F x
==> [F x := F x], where F
can be any type function with result Nat
.
0.3.2
- Find more unifications:
(z ^ a) ~ (z ^ b) ==> [a := b]
(i ^ a) ~ j ==> [a := round (logBase i j)]
, when i
and j
are integers, and ceiling (logBase i j) == floor (logBase i j)
.
0.3.1 October 19th 2015
- Find more unifications:
(i * a) ~ j ==> [a := div j i]
, when i
and j
are integers, and mod j i == 0
.
(i * a) + j ~ k ==> [a := div (k-j) i]
, when i
, j
, and k
are integers, and k-j >= 0
and mod (k-j) i == 0
.
0.3 June 3rd 2015
- Find more unifications:
<TyApp xs> + x ~ 2 + x ==> [<TyApp xs> ~ 2]
- Fixes bugs:
- Unifying
a*b ~ b
now returns [a ~ 1]
; before it erroneously returned [a ~ ]
, which is interpred as [a ~ 0]
...
- Unifying
a+b ~ b
now returns [a ~ 0]
; before it returned the undesirable, though equal, [a ~ ]
0.2.1 May 6th 2015
- Update
Eq
instance of SOP
: Empty SOP is equal to 0
0.2 April 22nd 2015
- Finds more unifications:
(2 + a) ~ 5 ==> [a := 3]
(3 * a) ~ 0 ==> [a := 0]
0.1.2 April 21st 2015
- Don't simplify expressions with negative exponents
0.1.1 April 17th 2015
0.1 March 30th 2015