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Add inverse hyperbolic functions asinh(), acosh() & atanh()

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GDScript has the following built-in trigonometry functions:

- `sin()`
- `cos()`
- `tan()`
- `asin()`
- `acos()`
- `atan()`
- `atan()`
- `sinh()`
- `cosh()`
- `tanh()`

However, it lacks the hyperbolic arc (also known as inverse
hyperbolic) functions:

- `asinh()`
- `acosh()`
- `atanh()`

Implement them by just exposing the C++ Math library, but clamping
its values to the closest real defined value.
For the cosine, clamp input values lower than 1 to 1.
In the case of the tangent, where the limit value is infinite,
clamp it to -inf or +inf.

References #78377
Fixes godotengine/godot-proposals#7110
This commit is contained in:
Jcrespo
2023-06-18 14:47:01 +02:00
committed by Jaime Crespo
parent 549fcce5f8
commit 528a76486c
5 changed files with 100 additions and 0 deletions
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16
core/variant/variant_utility.cpp
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@@ -81,6 +81,18 @@ double VariantUtilityFunctions::atan2(double y, double x) {
return Math::atan2(y, x);
}
double VariantUtilityFunctions::asinh(double arg) {
return Math::asinh(arg);
}
double VariantUtilityFunctions::acosh(double arg) {
return Math::acosh(arg);
}
double VariantUtilityFunctions::atanh(double arg) {
return Math::atanh(arg);
}
double VariantUtilityFunctions::sqrt(double x) {
return Math::sqrt(x);
}
@@ -1502,6 +1514,10 @@ void Variant::_register_variant_utility_functions() {
FUNCBINDR(atan2, sarray("y", "x"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(asinh, sarray("x"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(acosh, sarray("x"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(atanh, sarray("x"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(sqrt, sarray("x"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(fmod, sarray("x", "y"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(fposmod, sarray("x", "y"), Variant::UTILITY_FUNC_TYPE_MATH);