// Copyright (C) 2015 Jérôme Leclercq
// This file is part of the "Nazara Engine - Mathematics module"
// For conditions of distribution and use, see copyright notice in Config.hpp

#include <Nazara/Core/Error.hpp>
#include <Nazara/Core/String.hpp>
#include <Nazara/Math/Config.hpp>
#include <algorithm>
#include <cstring>
#include <type_traits>
#include <Nazara/Core/Debug.hpp>

#define F(a) static_cast<T>(a)
#define F2(a) static_cast<T2>(a)

namespace
{
	// https://graphics.stanford.edu/~seander/bithacks.html#IntegerLogDeBruijn
	static const unsigned int MultiplyDeBruijnBitPosition[32] =
	{
		0,  9,  1, 10, 13, 21,  2, 29, 11, 14, 16, 18, 22, 25, 3, 30,
		8, 12, 20, 28, 15, 17, 24,  7, 19, 27, 23,  6, 26,  5, 4, 31
	};

	static const unsigned int MultiplyDeBruijnBitPosition2[32] =
	{
		 0,  1, 28,  2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17,  4, 8,
		31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18,  6, 11,  5, 10, 9
	};


	template<typename T>
	typename std::enable_if<sizeof(T) <= sizeof(nzUInt32), unsigned int>::type NzImplIntegralLog2(T number)
	{
		// https://graphics.stanford.edu/~seander/bithacks.html#IntegerLogDeBruijn
		number |= number >> 1; // first round down to one less than a power of 2
		number |= number >> 2;
		number |= number >> 4;
		number |= number >> 8;
		number |= number >> 16;

		return MultiplyDeBruijnBitPosition[static_cast<nzUInt32>(number * 0x07C4ACDDU) >> 27];
	}

	template<typename T>
	// Les parenthèses autour de la condition sont nécesaires pour que GCC compile ça
	typename std::enable_if<(sizeof(T) > sizeof(nzUInt32)), unsigned int>::type NzImplIntegralLog2(T number)
	{
		static_assert(sizeof(T) % sizeof(nzUInt32) == 0, "Assertion failed");

		// L'algorithme pour le logarithme base 2 (au dessus) ne fonctionne qu'avec des nombres au plus 32bits
		// ce code décompose les nombres plus grands en nombres 32 bits par masquage et bit shifting
		for (int i = sizeof(T)-sizeof(nzUInt32); i >= 0; i -= sizeof(nzUInt32))
		{
			// Le masque 32 bits sur la partie du nombre qu'on traite actuellement
			T mask = T(std::numeric_limits<nzUInt32>::max()) << i*8;
			T val = (number & mask) >> i*8; // Masquage et shifting des bits vers la droite (pour le ramener sur 32bits)

			// Appel de la fonction avec le nombre 32bits, si le résultat est non-nul nous avons la réponse
			unsigned int log2 = NzImplIntegralLog2<nzUInt32>(val);
			if (log2)
				return log2 + i*8;
		}

		return 0;
	}

	template<typename T>
	typename std::enable_if<sizeof(T) <= sizeof(nzUInt32), unsigned int>::type NzImplIntegralLog2Pot(T number)
	{
		// https://graphics.stanford.edu/~seander/bithacks.html#IntegerLogDeBruijn
		return MultiplyDeBruijnBitPosition2[static_cast<nzUInt32>(number * 0x077CB531U) >> 27];
	}

	template<typename T>
	// Les parenthèses autour de la condition sont nécesaires pour que GCC compile ça
	typename std::enable_if<(sizeof(T) > sizeof(nzUInt32)), unsigned int>::type NzImplIntegralLog2Pot(T number)
	{
		static_assert(sizeof(T) % sizeof(nzUInt32) == 0, "Assertion failed");

		// L'algorithme pour le logarithme base 2 (au dessus) ne fonctionne qu'avec des nombres au plus 32bits
		// ce code décompose les nombres plus grands en nombres 32 bits par masquage et bit shifting
		for (int i = sizeof(T)-sizeof(nzUInt32); i >= 0; i -= sizeof(nzUInt32))
		{
			// Le masque 32 bits sur la partie du nombre qu'on traite actuellement
			T mask = T(std::numeric_limits<nzUInt32>::max()) << i*8;
			T val = (number & mask) >> i*8; // Masquage et shifting des bits vers la droite (pour le ramener sur 32bits)

			// Appel de la fonction avec le nombre 32bits, si le résultat est non-nul nous avons la réponse
			unsigned int log2 = NzImplIntegralLog2Pot<nzUInt32>(val);
			if (log2)
				return log2 + i*8;
		}

		return 0;
	}
}

template<typename T>
T NzApproach(T value, T objective, T increment)
{
	///TODO: Marquer comme constexpr en C++14
	if (value < objective)
		return std::min(value + increment, objective);
	else if (value > objective)
		return std::max(value - increment, objective);
	else
		return value;
}

template<typename T>
constexpr T NzClamp(T value, T min, T max)
{
	return std::max(std::min(value, max), min);
}

template<typename T>
T NzCountBits(T value)
{
	// https://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetKernighan
	unsigned int count = 0;
	while (value)
	{
		value &= value - 1;
		count++;
	}

	return count;
}

template<typename T>
constexpr T NzDegreeToRadian(T degrees)
{
	return degrees * F(M_PI/180.0);
}

template<typename T>
constexpr T NzFromDegrees(T degrees)
{
	#if NAZARA_MATH_ANGLE_RADIAN
	return NzDegreeToRadian(degrees);
	#else
	return degrees;
	#endif
}

template<typename T>
constexpr T NzFromRadians(T radians)
{
	#if NAZARA_MATH_ANGLE_RADIAN
	return radians;
	#else
	return NzRadianToDegree(radians);
	#endif
}

inline unsigned int NzGetNearestPowerOfTwo(unsigned int number)
{
	///TODO: Marquer comme constexpr en C++14
	unsigned int x = 1;
	// Tant que x est plus petit que n, on décale ses bits vers la gauche, ce qui revient à multiplier par deux
	while (x < number)
		x <<= 1;

	return x;
}

inline unsigned int NzGetNumberLength(signed char number)
{
	///TODO: Marquer comme constexpr en C++14
	// Le standard définit le char comme étant codé sur un octet
	static_assert(sizeof(number) == 1, "Signed char must be one byte-sized");

	if (number >= 100)
		return 3;
	else if (number >= 10)
		return 2;
	else if (number >= 0)
		return 1;
	else if (number > -10)
		return 2;
	else if (number > -100)
		return 3;
	else
		return 4;
}

inline unsigned int NzGetNumberLength(unsigned char number)
{
	///TODO: Marquer comme constexpr en C++14
	// Le standard définit le char comme étant codé sur un octet
	static_assert(sizeof(number) == 1, "Unsigned char must be one byte-sized");

	if (number >= 100)
		return 3;
	else if (number >= 10)
		return 2;
	else
		return 1;
}

inline unsigned int NzGetNumberLength(int number)
{
	if (number == 0)
		return 1;

	return static_cast<unsigned int>(std::log10(std::abs(number)))+(number < 0 ? 2 : 1);
}

inline unsigned int NzGetNumberLength(unsigned int number)
{
	if (number == 0)
		return 1;

	return static_cast<unsigned int>(std::log10(number))+1;
}

inline unsigned int NzGetNumberLength(long long number)
{
	if (number == 0)
		return 1;

	return static_cast<unsigned int>(std::log10(std::abs(number)))+(number < 0 ? 2 : 1);
}

inline unsigned int NzGetNumberLength(unsigned long long number)
{
	if (number == 0)
		return 1;

	return static_cast<unsigned int>(std::log10(number))+1;
}

inline unsigned int NzGetNumberLength(float number, nzUInt8 precision)
{
	// L'imprécision des flottants nécessite un cast (log10(9.99999) = 0.99999)
	return NzGetNumberLength(static_cast<long long>(number)) + precision + 1; // Plus un pour le point
}

inline unsigned int NzGetNumberLength(double number, nzUInt8 precision)
{
	// L'imprécision des flottants nécessite un cast (log10(9.99999) = 0.99999)
	return NzGetNumberLength(static_cast<long long>(number)) + precision + 1; // Plus un pour le point
}

inline unsigned int NzGetNumberLength(long double number, nzUInt8 precision)
{
	// L'imprécision des flottants nécessite un cast (log10(9.99999) = 0.99999)
	return NzGetNumberLength(static_cast<long long>(number)) + precision + 1; // Plus un pour le point
}

template<typename T>
unsigned int NzIntegralLog2(T number)
{
	// Proxy nécessaire pour éviter un problème de surcharge
	return NzImplIntegralLog2<T>(number);
}

template<typename T>
unsigned int NzIntegralLog2Pot(T pot)
{
	return NzImplIntegralLog2Pot<T>(pot);
}

inline unsigned int NzIntegralPow(unsigned int base, unsigned int exponent)
{
	///TODO: Marquer comme constexpr en C++14
	unsigned int r = 1;
	for (unsigned int i = 0; i < exponent; ++i)
		r *= base;

	return r;
}

template<typename T, typename T2>
T NzLerp(T from, T to, T2 interpolation)
{
	#ifdef NAZARA_DEBUG
	if (interpolation < F2(0.0) || interpolation > F2(1.0))
		NazaraWarning("Interpolation should be in range [0..1] (Got " + NzString::Number(interpolation) + ')');
	#endif

	return from + interpolation*(to - from);
}

template<typename T>
T NzMultiplyAdd(T x, T y, T z)
{
	return x*y + z;
}

#ifdef FP_FAST_FMAF
template<>
inline float NzMultiplyAdd(float x, float y, float z)
{
	return std::fmaf(x, y, z);
}
#endif

#ifdef FP_FAST_FMA
template<>
inline double NzMultiplyAdd(double x, double y, double z)
{
	return std::fma(x, y, z);
}
#endif

#ifdef FP_FAST_FMAL
template<>
inline long double NzMultiplyAdd(long double x, long double y, long double z)
{
	return std::fmal(x, y, z);
}
#endif

template<typename T>
T NzNormalizeAngle(T angle)
{
	#if NAZARA_MATH_ANGLE_RADIAN
	const T limit = F(M_PI);
	#else
	const T limit = F(180.0);
	#endif
	const T twoLimit = limit*F(2.0);

	angle = std::fmod(angle + limit, twoLimit);
	if (angle < F(0.0))
		angle += twoLimit;

	return angle - limit;
}

template<typename T>
bool NzNumberEquals(T a, T b)
{
	return NzNumberEquals(a, b, std::numeric_limits<T>::epsilon());
}

template<typename T>
bool NzNumberEquals(T a, T b, T maxDifference)
{
	T diff = a - b;
	if (diff < F(0.0))
		diff = -diff;

	return diff <= maxDifference;
}

inline NzString NzNumberToString(long long number, nzUInt8 radix)
{
	#if NAZARA_MATH_SAFE
	if (radix < 2 || radix > 36)
	{
		NazaraError("Base must be between 2 and 36");
		return NzString();
	}
	#endif

	if (number == 0)
		return NzString('0');

	static const char* symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";

	bool negative;
	if (number < 0)
	{
		negative = true;
		number = -number;
	}
	else
		negative = false;

	NzString str;
	str.Reserve(NzGetNumberLength(number)); // Prends en compte le signe négatif

	do
	{
		str.Append(symbols[number % radix]);
		number /= radix;
	}
	while (number > 0);

	if (negative)
		str.Append('-');

	return str.Reverse();
}

template<typename T>
T NzRadianToDegree(T radians)
{
	return radians * F(180.0/M_PI);
}

inline long long NzStringToNumber(NzString str, nzUInt8 radix, bool* ok)
{
	#if NAZARA_MATH_SAFE
	if (radix < 2 || radix > 36)
	{
		NazaraError("Radix must be between 2 and 36");

		if (ok)
			*ok = false;

		return 0;
	}
	#endif

	static const char* symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";

	str.Simplify();
	if (radix > 10)
		str = str.ToUpper();

	bool negative = str.StartsWith('-');

	char* digit = &str[(negative) ? 1 : 0];
	unsigned long long total = 0;
	do
	{
		if (*digit == ' ')
			continue;

		total *= radix;
		const char* c = std::strchr(symbols, *digit);
		if (c && c-symbols < radix)
			total += c-symbols;
		else
		{
			if (ok)
				*ok = false;

			return 0;
		}
	}
	while (*++digit);

	if (ok)
		*ok = true;

	return (negative) ? -static_cast<long long>(total) : total;
}

template<typename T>
constexpr T NzToDegrees(T angle)
{
	#if NAZARA_MATH_ANGLE_RADIAN
	return NzRadianToDegree(angle);
	#else
	return angle;
	#endif
}

template<typename T>
constexpr T NzToRadians(T angle)
{
	#if NAZARA_MATH_ANGLE_RADIAN
	return angle;
	#else
	return NzDegreeToRadian(angle);
	#endif
}

#undef F2
#undef F

#include <Nazara/Core/DebugOff.hpp>