mirror of
https://github.com/orange-cpp/omath.git
synced 2026-08-07 21:42:05 +00:00
Compare commits
2 Commits
5591eb6f88
...
ac57e8da9e
| Author | SHA1 | Date | |
|---|---|---|---|
| ac57e8da9e | |||
| ecc9852cd8 |
+12
-10
@@ -3,8 +3,8 @@
|
||||
> Header: `omath/trigonometry/angle.hpp`
|
||||
> Namespace: `omath`
|
||||
> Template: `Angle<Type = float, min = 0, max = 360, flags = AngleFlags::Normalized>`
|
||||
> Requires: `std::is_arithmetic_v<Type>`
|
||||
> Formatters: `std::formatter` for `char`, `wchar_t`, `char8_t` → `"{}deg"`
|
||||
> Requires: `std::is_floating_point_v<Type>`
|
||||
> Formatters: `std::formatter` for `char` and `wchar_t` → `"{}deg"`
|
||||
|
||||
---
|
||||
|
||||
@@ -14,7 +14,7 @@
|
||||
|
||||
Two behaviors via `AngleFlags`:
|
||||
|
||||
* `AngleFlags::Normalized` (default): values are wrapped into `[min, max]` using `angles::wrap_angle`.
|
||||
* `AngleFlags::Normalized` (default): values are wrapped into `[min, max)` using `angles::wrap_angle`.
|
||||
* `AngleFlags::Clamped`: values are clamped to `[min, max]` using `std::clamp`.
|
||||
|
||||
---
|
||||
@@ -28,12 +28,16 @@ enum class AngleFlags { Normalized = 0, Clamped = 1 };
|
||||
|
||||
template<class Type = float, Type min = Type(0), Type max = Type(360),
|
||||
AngleFlags flags = AngleFlags::Normalized>
|
||||
requires std::is_arithmetic_v<Type>
|
||||
requires std::is_floating_point_v<Type>
|
||||
class Angle {
|
||||
public:
|
||||
// Construction
|
||||
static constexpr Angle from_degrees(const Type& deg) noexcept;
|
||||
static constexpr Angle from_radians(const Type& rad) noexcept;
|
||||
static constexpr Angle from_asin(const Type& value) noexcept;
|
||||
static constexpr Angle from_acos(const Type& value) noexcept;
|
||||
static constexpr Angle from_atan(const Type& value) noexcept;
|
||||
static constexpr Angle from_atan2(const Type& y, const Type& x) noexcept;
|
||||
constexpr Angle() noexcept; // 0 deg, adjusted by flags/range
|
||||
|
||||
// Accessors / conversions (degrees stored internally)
|
||||
@@ -45,10 +49,9 @@ public:
|
||||
Type sin() const noexcept;
|
||||
Type cos() const noexcept;
|
||||
Type tan() const noexcept;
|
||||
Type atan() const noexcept; // atan(as_radians()) (rarely used)
|
||||
Type cot() const noexcept; // cos()/sin() (watch sin≈0)
|
||||
|
||||
// Arithmetic (wraps or clamps per flags and [min,max])
|
||||
// Arithmetic (wraps or clamps per flags and configured range)
|
||||
constexpr Angle& operator+=(const Angle&) noexcept;
|
||||
constexpr Angle& operator-=(const Angle&) noexcept;
|
||||
constexpr Angle operator+(const Angle&) noexcept;
|
||||
@@ -68,7 +71,7 @@ public:
|
||||
std::format("{}", Angle<float>::from_degrees(45)); // "45deg"
|
||||
```
|
||||
|
||||
Formatters exist for `char`, `wchar_t`, and `char8_t`.
|
||||
Formatters exist for `char` and `wchar_t`.
|
||||
|
||||
---
|
||||
|
||||
@@ -116,10 +119,9 @@ float deg = *yaw; // same as yaw.as_degrees()
|
||||
## Semantics & notes
|
||||
|
||||
* **Storage & units:** Internally stores **degrees** (`Type m_angle`). `as_radians()`/`from_radians()` use the project helpers in `omath::angles`.
|
||||
* **Arithmetic honors policy:** `operator+=`/`-=` and the binary `+`/`-` apply **wrap** or **clamp** in `[min,max]`, mirroring construction behavior.
|
||||
* **`atan()`**: returns `std::atan(as_radians())` (the arctangent of the *radian value*). This is mathematically unusual for an angle type and is rarely useful; prefer `tan()`/`atan2` in client code when solving geometry problems.
|
||||
* **Arithmetic honors policy:** `operator+=`/`-=` and the binary `+`/`-` apply **wrap** or **clamp**, mirroring construction behavior.
|
||||
* **`cot()` / `tan()` singularities:** Near multiples where `sin() ≈ 0` or `cos() ≈ 0`, results blow up. Guard in your usage if inputs can approach these points.
|
||||
* **Comparison:** `operator<=>` is defaulted. With normalization, distinct representatives can compare as expected (e.g., `-180` vs `180` in signed ranges are distinct endpoints).
|
||||
* **Comparison:** `operator<=>` is defaulted. Normalization canonicalizes the maximum endpoint to the minimum endpoint.
|
||||
* **No implicit numeric conversion:** There’s **no `operator Type()`**. Use `as_degrees()`/`as_radians()` (or `*angle`) explicitly—this intentional friction avoids unit mistakes.
|
||||
|
||||
---
|
||||
|
||||
@@ -4,7 +4,7 @@
|
||||
> Namespace: `omath::angles`
|
||||
> All functions are `[[nodiscard]]` and `noexcept` where applicable.
|
||||
|
||||
A small set of constexpr-friendly utilities for converting between degrees/radians, converting horizontal/vertical field of view, and wrapping angles into a closed interval.
|
||||
A small set of constexpr-friendly utilities for converting between degrees/radians, converting horizontal/vertical field of view, and wrapping angles into a half-open interval.
|
||||
|
||||
---
|
||||
|
||||
@@ -29,9 +29,9 @@ template<class Type>
|
||||
requires std::is_floating_point_v<Type>
|
||||
Type vertical_fov_to_horizontal(const Type& vertical_fov, const Type& aspect) noexcept;
|
||||
|
||||
// Wrap angle into [min, max] (any arithmetic type)
|
||||
// Wrap angle into [min, max) (floating-point types)
|
||||
template<class Type>
|
||||
requires std::is_arithmetic_v<Type>
|
||||
requires std::is_floating_point_v<Type>
|
||||
Type wrap_angle(const Type& angle, const Type& min, const Type& max) noexcept;
|
||||
```
|
||||
|
||||
@@ -66,10 +66,10 @@ Formulas (in radians):
|
||||
|
||||
### Wrapping angles (or any periodic value)
|
||||
|
||||
Wrap any numeric `angle` into `[min, max]`:
|
||||
Wrap any floating-point `angle` into `[min, max)`:
|
||||
|
||||
```cpp
|
||||
// Wrap degrees into [0, 360]
|
||||
// Wrap degrees into [0, 360)
|
||||
float a = omath::angles::wrap_angle( 370.0f, 0.0f, 360.0f); // 10
|
||||
float b = omath::angles::wrap_angle( -15.0f, 0.0f, 360.0f); // 345
|
||||
// Signed range [-180,180]
|
||||
@@ -83,10 +83,10 @@ float c = omath::angles::wrap_angle( 200.0f, -180.0f, 180.0f); // -160
|
||||
* **Type requirements**
|
||||
|
||||
* Converters & FOV helpers require **floating-point** `Type`.
|
||||
* `wrap_angle` accepts any arithmetic `Type` (floats or integers).
|
||||
* `wrap_angle` accepts floating-point types.
|
||||
* **Aspect ratio** must be **positive** and finite. For `aspect == 0` the FOV helpers are undefined.
|
||||
* **Units**: FOV functions accept/return **degrees** but compute internally in radians.
|
||||
* **Wrapping interval**: Behavior assumes `max > min`. The result lies in the **closed interval** `[min, max]` with modulo arithmetic; if you need half-open behavior (e.g., `[min,max)`), adjust your range or post-process endpoint cases.
|
||||
* **Wrapping interval**: Behavior assumes `max > min`. The result lies in the half-open interval `[min, max)`.
|
||||
* **constexpr**: Converters are `constexpr`; FOV helpers are runtime constexpr-compatible except for `std::atan/std::tan` constraints on some standard libraries.
|
||||
|
||||
---
|
||||
@@ -103,5 +103,5 @@ float v = horizontal_fov_to_vertical(90.0f, 16.0f/9.0f);
|
||||
float h = vertical_fov_to_horizontal(v, 16.0f/9.0f);
|
||||
assert(std::abs(h - 90.0f) < 1e-5f);
|
||||
|
||||
assert(wrap_angle(360.0f, 0.0f, 360.0f) == 0.0f || wrap_angle(360.0f, 0.0f, 360.0f) == 360.0f);
|
||||
assert(wrap_angle(360.0f, 0.0f, 360.0f) == 0.0f);
|
||||
```
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/cry_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
namespace omath::cry_engine
|
||||
{
|
||||
@@ -16,8 +15,8 @@ namespace omath::cry_engine
|
||||
const Vector3<float>& look_at) noexcept
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
return {PitchAngle::from_radians(internal::asin(direction.z)),
|
||||
YawAngle::from_radians(-internal::atan2(direction.x, direction.y)), RollAngle::from_radians(0.f)};
|
||||
return {PitchAngle::from_asin(direction.z), -YawAngle::from_atan2(direction.x, direction.y),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/frostbite_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::frostbite_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::frostbite_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(-internal::asin(direction.y)),
|
||||
YawAngle::from_radians(internal::atan2(direction.x, direction.z)), RollAngle::from_radians(0.f)};
|
||||
return {-PitchAngle::from_asin(direction.y), YawAngle::from_atan2(direction.x, direction.z),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/iw_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::iw_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::iw_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(-internal::asin(direction.z)),
|
||||
YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
|
||||
return {-PitchAngle::from_asin(direction.z), YawAngle::from_atan2(direction.y, direction.x),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/opengl_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::opengl_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::opengl_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(internal::asin(direction.y)),
|
||||
YawAngle::from_radians(-internal::atan2(direction.x, -direction.z)), RollAngle::from_radians(0.f)};
|
||||
return {PitchAngle::from_asin(direction.y), -YawAngle::from_atan2(direction.x, -direction.z),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/rage_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::rage_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::rage_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(internal::asin(direction.z)),
|
||||
YawAngle::from_radians(-internal::atan2(direction.x, direction.y)), RollAngle::from_radians(0.f)};
|
||||
return {PitchAngle::from_asin(direction.z), -YawAngle::from_atan2(direction.x, direction.y),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/source_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::source_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::source_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(-internal::asin(direction.z)),
|
||||
YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
|
||||
return {-PitchAngle::from_asin(direction.z),
|
||||
YawAngle::from_atan2(direction.y, direction.x), RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/unity_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::unity_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::unity_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(-internal::asin(direction.y)),
|
||||
YawAngle::from_radians(internal::atan2(direction.x, direction.z)), RollAngle::from_radians(0.f)};
|
||||
return {-PitchAngle::from_asin(direction.y), YawAngle::from_atan2(direction.x, direction.z),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -4,7 +4,6 @@
|
||||
|
||||
#pragma once
|
||||
#include "omath/engines/unreal_engine/formulas.hpp"
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/projection/camera.hpp"
|
||||
|
||||
namespace omath::unreal_engine
|
||||
@@ -18,8 +17,8 @@ namespace omath::unreal_engine
|
||||
{
|
||||
const auto direction = (look_at - cam_origin).normalized();
|
||||
|
||||
return {PitchAngle::from_radians(internal::asin(direction.z)),
|
||||
YawAngle::from_radians(internal::atan2(direction.y, direction.x)), RollAngle::from_radians(0.f)};
|
||||
return {PitchAngle::from_asin(direction.z), YawAngle::from_atan2(direction.y, direction.x),
|
||||
RollAngle::from_radians(0.f)};
|
||||
}
|
||||
|
||||
[[nodiscard("view matrix result should not be discarded")]]
|
||||
|
||||
@@ -6,7 +6,9 @@
|
||||
#include "omath/internal/constexpr_math.hpp"
|
||||
#include "omath/trigonometry/angles.hpp"
|
||||
#include <algorithm>
|
||||
#include <compare>
|
||||
#include <format>
|
||||
#include <type_traits>
|
||||
#include <utility>
|
||||
|
||||
namespace omath
|
||||
@@ -18,7 +20,7 @@ namespace omath
|
||||
};
|
||||
|
||||
template<class Type = float, Type min = Type(0), Type max = Type(360), AngleFlags flags = AngleFlags::Normalized>
|
||||
requires std::is_arithmetic_v<Type>
|
||||
requires std::is_floating_point_v<Type>
|
||||
class Angle
|
||||
{
|
||||
Type m_angle;
|
||||
@@ -43,7 +45,7 @@ namespace omath
|
||||
{
|
||||
return Angle{degrees};
|
||||
}
|
||||
constexpr Angle() noexcept: m_angle(0)
|
||||
constexpr Angle() noexcept: Angle(Type{0})
|
||||
{
|
||||
}
|
||||
[[nodiscard]]
|
||||
@@ -52,6 +54,30 @@ namespace omath
|
||||
return Angle{angles::radians_to_degrees<Type>(degrees)};
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr static Angle from_asin(const Type& value) noexcept
|
||||
{
|
||||
return from_radians(internal::asin(value));
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr static Angle from_acos(const Type& value) noexcept
|
||||
{
|
||||
return from_radians(internal::acos(value));
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr static Angle from_atan(const Type& value) noexcept
|
||||
{
|
||||
return from_radians(internal::atan(value));
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr static Angle from_atan2(const Type& y, const Type& x) noexcept
|
||||
{
|
||||
return from_radians(internal::atan2(y, x));
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr const Type& operator*() const noexcept
|
||||
{
|
||||
@@ -88,12 +114,6 @@ namespace omath
|
||||
return internal::tan(as_radians());
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr Type atan() const noexcept
|
||||
{
|
||||
return internal::atan(as_radians());
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
constexpr Type cot() const noexcept
|
||||
{
|
||||
@@ -121,7 +141,8 @@ namespace omath
|
||||
|
||||
constexpr Angle& operator-=(const Angle& other) noexcept
|
||||
{
|
||||
return operator+=(-other);
|
||||
*this = Angle{m_angle - other.m_angle};
|
||||
return *this;
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
@@ -142,7 +163,7 @@ namespace omath
|
||||
[[nodiscard]]
|
||||
constexpr Angle operator-(const Angle& other) const noexcept
|
||||
{
|
||||
return operator+(-other);
|
||||
return Angle{m_angle - other.m_angle};
|
||||
}
|
||||
|
||||
[[nodiscard]]
|
||||
@@ -172,7 +193,6 @@ struct std::formatter<omath::Angle<T, MinV, MaxV, F>, char> final // NOLINT(*-dc
|
||||
return std::format_to(ctx.out(), "{}deg", a.as_degrees());
|
||||
}
|
||||
};
|
||||
|
||||
// wchar_t formatter
|
||||
template<class T, T MinV, T MaxV, omath::AngleFlags F>
|
||||
struct std::formatter<omath::Angle<T, MinV, MaxV, F>, wchar_t> final // NOLINT(*-dcl58-cpp)
|
||||
@@ -193,24 +213,3 @@ struct std::formatter<omath::Angle<T, MinV, MaxV, F>, wchar_t> final // NOLINT(*
|
||||
return std::format_to(ctx.out(), L"{}deg", a.as_degrees());
|
||||
}
|
||||
};
|
||||
|
||||
// wchar_t formatter
|
||||
template<class T, T MinV, T MaxV, omath::AngleFlags F>
|
||||
struct std::formatter<omath::Angle<T, MinV, MaxV, F>, char8_t> final // NOLINT(*-dcl58-cpp)
|
||||
{
|
||||
using AngleT = omath::Angle<T, MinV, MaxV, F>;
|
||||
|
||||
[[nodiscard]]
|
||||
static constexpr auto parse(std::wformat_parse_context& ctx)
|
||||
{
|
||||
return ctx.begin();
|
||||
}
|
||||
|
||||
template<class FormatContext>
|
||||
[[nodiscard]]
|
||||
auto format(const AngleT& a, FormatContext& ctx) const
|
||||
{
|
||||
static_assert(std::is_same_v<typename FormatContext::char_type, char8_t>);
|
||||
return std::format_to(ctx.out(), u8"{}deg", a.as_degrees());
|
||||
}
|
||||
};
|
||||
|
||||
@@ -48,10 +48,10 @@ namespace omath::angles
|
||||
}
|
||||
|
||||
template<class Type>
|
||||
requires std::is_arithmetic_v<Type>
|
||||
requires std::is_floating_point_v<Type>
|
||||
[[nodiscard]] constexpr Type wrap_angle(const Type& angle, const Type& min, const Type& max) noexcept
|
||||
{
|
||||
if (angle <= max && angle >= min)
|
||||
if (angle < max && angle >= min)
|
||||
return angle;
|
||||
|
||||
const Type range = max - min;
|
||||
|
||||
@@ -14,9 +14,14 @@ namespace
|
||||
|
||||
// Handy aliases (defaults: Type=float, [0,360], Normalized)
|
||||
using Deg = Angle<float, static_cast<float>(0), static_cast<float>(360), AngleFlags::Normalized>;
|
||||
using Fov = Angle<float, static_cast<float>(0), static_cast<float>(180), AngleFlags::Clamped>;
|
||||
using Offset = Angle<float, static_cast<float>(10), static_cast<float>(20), AngleFlags::Clamped>;
|
||||
using Pitch = Angle<float, static_cast<float>(-90), static_cast<float>(90), AngleFlags::Clamped>;
|
||||
using Turn = Angle<float, static_cast<float>(-180), static_cast<float>(180), AngleFlags::Normalized>;
|
||||
|
||||
template<class Type>
|
||||
concept SupportedAngleType = requires { typename Angle<Type>; };
|
||||
|
||||
constexpr float k_eps = 1e-5f;
|
||||
|
||||
constexpr bool close_to(const float actual, const float expected, const float epsilon)
|
||||
@@ -36,6 +41,12 @@ TEST(UnitTestAngle, DefaultConstructor_IsZeroDegrees)
|
||||
EXPECT_FLOAT_EQ(a.as_degrees(), 0.0f);
|
||||
}
|
||||
|
||||
TEST(UnitTestAngle, DefaultConstructor_AppliesRangePolicy)
|
||||
{
|
||||
constexpr Offset a;
|
||||
EXPECT_FLOAT_EQ(a.as_degrees(), 10.0f);
|
||||
}
|
||||
|
||||
TEST(UnitTestAngle, FromDegrees_Normalized_WrapsAboveMax)
|
||||
{
|
||||
const Deg a = Deg::from_degrees(370.0f);
|
||||
@@ -66,6 +77,14 @@ TEST(UnitTestAngle, FromRadians_And_AsRadians)
|
||||
EXPECT_NEAR(b.as_radians(), std::numbers::pi_v<float>, 1e-6f);
|
||||
}
|
||||
|
||||
TEST(UnitTestAngle, FromInverseTrigonometricFunctions)
|
||||
{
|
||||
EXPECT_NEAR(Pitch::from_asin(0.5f).as_degrees(), 30.0f, k_eps);
|
||||
EXPECT_NEAR(Pitch::from_acos(0.5f).as_degrees(), 60.0f, k_eps);
|
||||
EXPECT_NEAR(Pitch::from_atan(1.0f).as_degrees(), 45.0f, k_eps);
|
||||
EXPECT_NEAR(Turn::from_atan2(-1.0f, -1.0f).as_degrees(), -135.0f, k_eps);
|
||||
}
|
||||
|
||||
// ---------- Unary minus & deref ----------
|
||||
|
||||
TEST(UnitTestAngle, UnaryMinus_Normalized)
|
||||
@@ -101,17 +120,6 @@ TEST(UnitTestAngle, SinCosTanCot_BasicCases)
|
||||
EXPECT_NEAR(a90.cos(), 0.0f, 1e-4f);
|
||||
}
|
||||
|
||||
TEST(UnitTestAngle, Atan_IsAtanOfRadians)
|
||||
{
|
||||
// atan(as_radians). For 0° -> atan(0)=0.
|
||||
const Deg a0 = Deg::from_degrees(0.0f);
|
||||
EXPECT_NEAR(a0.atan(), 0.0f, k_eps);
|
||||
|
||||
const Deg a45 = Deg::from_degrees(45.0f);
|
||||
// atan(pi/4) ≈ 0.665773...
|
||||
EXPECT_NEAR(a45.atan(), 0.66577375f, 1e-6f);
|
||||
}
|
||||
|
||||
// ---------- Compound arithmetic ----------
|
||||
|
||||
TEST(UnitTestAngle, PlusEquals_Normalized_Wraps)
|
||||
@@ -142,6 +150,16 @@ TEST(UnitTestAngle, MinusEquals_Clamped_Clamps)
|
||||
EXPECT_FLOAT_EQ(p.as_degrees(), -90.0f);
|
||||
}
|
||||
|
||||
TEST(UnitTestAngle, Subtraction_ClampedNonSymmetricRange)
|
||||
{
|
||||
Fov compound = Fov::from_degrees(90.0f);
|
||||
compound -= Fov::from_degrees(10.0f);
|
||||
EXPECT_FLOAT_EQ(compound.as_degrees(), 80.0f);
|
||||
|
||||
const Fov binary = Fov::from_degrees(90.0f) - Fov::from_degrees(10.0f);
|
||||
EXPECT_FLOAT_EQ(binary.as_degrees(), 80.0f);
|
||||
}
|
||||
|
||||
// ---------- Alternative ranges ----------
|
||||
|
||||
TEST(UnitTestAngle, NormalizedRange_Neg180To180)
|
||||
@@ -205,5 +223,12 @@ static_assert(close_to(Pitch::from_degrees(45.0f).tan(), 1.0f, 1e-4f),
|
||||
"Tan should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Pitch::from_degrees(45.0f).cot(), 1.0f, 1e-4f),
|
||||
"Cot should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Pitch::from_degrees(45.0f).atan(), 0.66577375f, 1e-6f),
|
||||
"Atan should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Pitch::from_asin(0.5f).as_degrees(), 30.0f, k_eps),
|
||||
"From asin should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Pitch::from_acos(0.5f).as_degrees(), 60.0f, k_eps),
|
||||
"From acos should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Pitch::from_atan(1.0f).as_degrees(), 45.0f, k_eps),
|
||||
"From atan should be constexpr with embedded constexpr math");
|
||||
static_assert(close_to(Turn::from_atan2(-1.0f, -1.0f).as_degrees(), -135.0f, k_eps),
|
||||
"From atan2 should be constexpr with embedded constexpr math");
|
||||
static_assert(!SupportedAngleType<int>, "Angle should only accept floating-point types");
|
||||
|
||||
@@ -46,4 +46,11 @@ TEST(unit_test_angles, wrap_angle_negative_range)
|
||||
const float wrapped = omath::angles::wrap_angle(-90.f, 0.f, 360.f);
|
||||
|
||||
EXPECT_NEAR(wrapped, 270.f, 0.01f);
|
||||
}
|
||||
}
|
||||
|
||||
TEST(unit_test_angles, wrap_angle_maximum_maps_to_minimum)
|
||||
{
|
||||
const float wrapped = omath::angles::wrap_angle(360.f, 0.f, 360.f);
|
||||
|
||||
EXPECT_FLOAT_EQ(wrapped, 0.f);
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user