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Rewrite documentation for floating point matchers

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Martin Hořeňovský 2019-10-13 21:31:48 +02:00
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@ -36,7 +36,17 @@ REQUIRE_THAT( str,
```
## Built in matchers
Catch currently provides some matchers, they are in the `Catch::Matchers` and `Catch` namespaces.
Catch2 provides some matchers by default. They can be found in the
`Catch::Matchers::foo` namespace and are imported into the `Catch`
namespace as well.
There are two parts to each of the built-in matchers, the matcher
type itself and a helper function that provides template argument
deduction when creating templated matchers. As an example, the matcher
for checking that two instances of `std::vector` are identical is
`EqualsMatcher<T>`, but the user is expected to use the `Equals`
helper function instead.
### String matchers
The string matchers are `StartsWith`, `EndsWith`, `Contains`, `Equals` and `Matches`. The first four match a literal (sub)string against a result, while `Matches` takes and matches an ECMAScript regex. Do note that `Matches` matches the string as a whole, meaning that "abc" will not match against "abcd", but "abc.*" will.
@ -57,10 +67,30 @@ These are
### Floating point matchers
The floating point matchers are `WithinULP` and `WithinAbs`. `WithinAbs` accepts floating point numbers that are within a certain margin of target. `WithinULP` performs an [ULP](https://en.wikipedia.org/wiki/Unit_in_the_last_place)-based comparison of two floating point numbers and accepts them if they are less than certain number of ULPs apart.
Catch2 provides 3 matchers for working with floating point numbers. These
are `WithinAbsMatcher`, `WithinUlpsMatcher` and `WithinRelMatcher`.
Do note that ULP-based checks only make sense when both compared numbers are of the same type and `WithinULP` will use type of its argument as the target type. This means that `WithinULP(1.f, 1)` will expect to compare `float`s, but `WithinULP(1., 1)` will expect to compare `double`s.
The `WithinAbsMatcher` matcher accepts floating point numbers that are
within a certain distance of target. It should be constructed with the
`WithinAbs(double target, double margin)` helper.
The `WithinUlpsMatcher` matcher accepts floating point numbers that are
within a certain number of [ULPs](https://en.wikipedia.org/wiki/Unit_in_the_last_place)
of the target. Because ULP comparisons need to be done differently for
`float`s and for `double`s, there are two overloads of the helpers for
this matcher, `WithinULP(float target, int64_t ULPs)`, and
`WithinULP(double target, int64_t ULPs)`.
The `WithinRelMatcher` matcher accepts floating point numbers that are
_approximately equal_ with the target number with some specific tolerance.
In other words, it checks that `|lhs - rhs| <= epsilon * max(|lhs|, |rhs|)`,
with special casing for `INFINITY` and `NaN`. There are _4_ overloads of
the helpers for this matcher, `WithinRel(double target, double margin)`,
`WithinRel(float target, float margin)`, `WithinRel(double target)`, and
`WithinRel(float target)`. The latter two provide a default epsilon of
machine epsilon * 100.
> `WithinRel` matcher was introduced in Catch X.Y.Z
### Generic matchers
Catch also aims to provide a set of generic matchers. Currently this set