CppUtils/modules/Math/Easing.mpp at master · MorganCaron/CppUtils · GitHub

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export module CppUtils.Math.Easing;

import std;

export namespace CppUtils::Math::Easing
{
	[[nodiscard]] constexpr auto inQuad(std::floating_point auto value) noexcept -> auto
	{
		return value * value;
	}

	[[nodiscard]] constexpr auto outQuad(std::floating_point auto value) noexcept -> auto
	{
		return value * (2 - value);
	}

	[[nodiscard]] constexpr auto inOutQuad(std::floating_point auto value) noexcept -> auto
	{
		return value < 0.5 ? 2 * value * value : -1 + (4 - 2 * value) * value;
	}

	[[nodiscard]] constexpr auto inCubic(std::floating_point auto value) noexcept -> auto
	{
		return value * value * value;
	}

	[[nodiscard]] constexpr auto outCubic(std::floating_point auto value) noexcept -> auto
	{
		auto temp = value - 1;
		return temp * temp * temp + 1;
	}

	[[nodiscard]] constexpr auto inOutCubic(std::floating_point auto value) noexcept -> auto
	{
		if (value < 0.5)
			return 4 * value * value * value;

		auto temp = -2 * value + 2;
		return 1 - (temp * temp * temp) / 2;
	}

	[[nodiscard]] constexpr auto inQuart(std::floating_point auto value) noexcept -> auto
	{
		return value * value * value * value;
	}

	[[nodiscard]] constexpr auto outQuart(std::floating_point auto value) noexcept -> auto
	{
		auto temp = value - 1;
		return 1 - temp * temp * temp * temp;
	}

	[[nodiscard]] constexpr auto inOutQuart(std::floating_point auto value) noexcept -> auto
	{
		if (value < 0.5)
			return 8 * value * value * value * value;

		auto temp = -2 * value + 2;
		return 1 - (temp * temp * temp * temp) / 2;
	}

	[[nodiscard]] constexpr auto inQuint(std::floating_point auto value) noexcept -> auto
	{
		return value * value * value * value * value;
	}

	[[nodiscard]] constexpr auto outQuint(std::floating_point auto value) noexcept -> auto
	{
		auto temp = value - 1;
		return 1 + temp * temp * temp * temp * temp;
	}

	[[nodiscard]] constexpr auto inOutQuint(std::floating_point auto value) noexcept -> auto
	{
		if (value < 0.5)
			return 16 * value * value * value * value * value;

		auto temp = -2 * value + 2;
		return 1 - (temp * temp * temp * temp * temp) / 2;
	}

	[[nodiscard]] constexpr auto inSine(std::floating_point auto value) noexcept -> auto
	{
		return 1 - std::cos((value * std::numbers::pi_v<decltype(value)>) / 2);
	}

	[[nodiscard]] constexpr auto outSine(std::floating_point auto value) noexcept -> auto
	{
		return std::sin((value * std::numbers::pi_v<decltype(value)>) / 2);
	}

	[[nodiscard]] constexpr auto inOutSine(std::floating_point auto value) noexcept -> auto
	{
		return -(std::cos(std::numbers::pi_v<decltype(value)> * value) - 1) / 2;
	}

	[[nodiscard]] constexpr auto inCirc(std::floating_point auto value) noexcept -> auto
	{
		return 1 - std::sqrt(1 - std::pow(value, 2));
	}

	[[nodiscard]] constexpr auto outCirc(std::floating_point auto value) noexcept -> auto
	{
		return std::sqrt(1 - (value - 1) * (value - 1));
	}

	[[nodiscard]] constexpr auto inOutCirc(std::floating_point auto value) noexcept -> auto
	{
		if (value < 0.5)
			return (1 - std::sqrt(1 - 4 * value * value)) / 2;

		auto temp = -2 * value + 2;
		return (std::sqrt(1 - temp * temp) + 1) / 2;
	}
}