## Changelog for ghc-typelits-natnormalise-0.6

# Changelog for the `ghc-typelits-natnormalise`

package

## 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.

- If you need subtraction to be treated as addition with a negated operarand
run with
- Try to solve equalities using smallest solution of inequalities:
- Solve
`x + 1 ~ y`

using`1 <= y`

=>`x + 1 ~ 1`

=>`x ~ 0`

- Solve
- 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:`1 <= x`

implies`1 <= 3*x`

- Solve inequalities using
*simple*monotonicity of exponentiation rules:`1 <= x`

implies`2 <= 2^x`

- 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*

- Add support for GHC 8.2

## 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

- Rounding error in

## 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 ~ ]`

- Unifying

## 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*

- Add workaround for https://ghc.haskell.org/trac/ghc/ticket/10301

## 0.1 *March 30th 2015*

- Initial release