dolphin/Source/Core/Common/Src/MathUtil.cpp

// Copyright (C) 2003 Dolphin Project.

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, version 2.0.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License 2.0 for more details.

// A copy of the GPL 2.0 should have been included with the program.
// If not, see http://www.gnu.org/licenses/

// Official SVN repository and contact information can be found at
// http://code.google.com/p/dolphin-emu/

#include "Common.h"
#include "MathUtil.h"

#include <cmath>
#include <numeric>

namespace {

static u32 saved_sse_state = _mm_getcsr();
static const u32 default_sse_state = _mm_getcsr();

}

namespace MathUtil
{

int ClassifyDouble(double dvalue)
{
	// TODO: Optimize the below to be as fast as possible.
	IntDouble value;
	value.d = dvalue;
	// 5 bits (C, <, >, =, ?)
	// easy cases first
	if (value.i == 0) {
		// positive zero
		return 0x2;
	} else if (value.i == 0x8000000000000000ULL) {
		// negative zero
	   return 0x12;
	} else if (value.i == 0x7FF0000000000000ULL) {
		// positive inf
		return 0x5;
	} else if (value.i == 0xFFF0000000000000ULL) {
		// negative inf
		return 0x9;
	} else {
		// OK let's dissect this thing.
		int sign = value.i >> 63;
		int exp = (int)((value.i >> 52) & 0x7FF);
		if (exp >= 1 && exp <= 2046) {
			// Nice normalized number.
			if (sign) {
				return 0x8; // negative
			} else {
				return 0x4; // positive
			}
		}
		u64 mantissa = value.i & 0x000FFFFFFFFFFFFFULL;
		if (exp == 0 && mantissa) {
			// Denormalized number.
			if (sign) {
				return 0x18;
			} else {
				return 0x14;
			}
		} else if (exp == 0x7FF && mantissa /* && mantissa_top*/) {
			return 0x11; // Quiet NAN
		}
	}
	
	return 0x4;
}

int ClassifyFloat(float fvalue)
{
	// TODO: Optimize the below to be as fast as possible.
	IntFloat value;
	value.f = fvalue;
	// 5 bits (C, <, >, =, ?)
	// easy cases first
	if (value.i == 0) {
		// positive zero
		return 0x2;
	} else if (value.i == 0x80000000) {
		// negative zero
	   return 0x12;
	} else if (value.i == 0x7F800000) {
		// positive inf
		return 0x5;
	} else if (value.i == 0xFF800000) {
		// negative inf
		return 0x9;
	} else {
		// OK let's dissect this thing.
		int sign = value.i >> 31;
		int exp = (int)((value.i >> 23) & 0xFF);
		if (exp >= 1 && exp <= 254) {
			// Nice normalized number.
			if (sign) {
				return 0x8; // negative
			} else {
				return 0x4; // positive
			}
		}
		u64 mantissa = value.i & 0x007FFFFF;
		if (exp == 0 && mantissa) {
			// Denormalized number.
			if (sign) {
				return 0x18;
			} else {
				return 0x14;
			}
		} else if (exp == 0xFF && mantissa /* && mantissa_top*/) {
			return 0x11; // Quiet NAN
		}
	}
	
	return 0x4;
}

}  // namespace

void LoadDefaultSSEState()
{
	_mm_setcsr(default_sse_state);
}


void LoadSSEState()
{
	_mm_setcsr(saved_sse_state);
}


void SaveSSEState()
{
	saved_sse_state = _mm_getcsr();
}

inline void MatrixMul(int n, const float *a, const float *b, float *result)
{    
    for (int i = 0; i < n; ++i)
	{
        for (int j = 0; j < n; ++j)
		{
            float temp = 0;
            for (int k = 0; k < n; ++k)
			{
                temp += a[i * n + k] * b[k * n + j];
            }
            result[i * n + j] = temp;
        }
    }
}

// Calculate sum of a float list
float MathFloatVectorSum(const std::vector<float>& Vec)
{
	return std::accumulate(Vec.begin(), Vec.end(), 0.0f);
}

void Matrix33::LoadIdentity(Matrix33 &mtx)
{
    memset(mtx.data, 0, sizeof(mtx.data));
    mtx.data[0] = 1.0f;
    mtx.data[4] = 1.0f;
    mtx.data[8] = 1.0f;
}

void Matrix33::RotateX(Matrix33 &mtx, float rad)
{
    float s = sin(rad);
    float c = cos(rad);
    memset(mtx.data, 0, sizeof(mtx.data));
    mtx.data[0] = 1;
    mtx.data[4] = c;
    mtx.data[5] = -s;
    mtx.data[7] = s;
    mtx.data[8] = c;
}
void Matrix33::RotateY(Matrix33 &mtx, float rad)
{
    float s = sin(rad);
    float c = cos(rad);
    memset(mtx.data, 0, sizeof(mtx.data));
    mtx.data[0] = c;
    mtx.data[2] = s;
    mtx.data[4] = 1;
    mtx.data[6] = -s;    
    mtx.data[8] = c;
}

void Matrix33::Multiply(const Matrix33 &a, const Matrix33 &b, Matrix33 &result)
{
    MatrixMul(3, a.data, b.data, result.data);
}

void Matrix33::Multiply(const Matrix33 &a, const float vec[3], float result[3])
{
    for (int i = 0; i < 3; ++i) {
        result[i] = 0;
        for (int k = 0; k < 3; ++k) {
            result[i] += a.data[i * 3 + k] * vec[k];
        }
    }
}

void Matrix44::LoadIdentity(Matrix44 &mtx)
{
    memset(mtx.data, 0, sizeof(mtx.data));
    mtx.data[0] = 1.0f;
    mtx.data[5] = 1.0f;
    mtx.data[10] = 1.0f;
    mtx.data[15] = 1.0f;
}

void Matrix44::LoadMatrix33(Matrix44 &mtx, const Matrix33 &m33)
{
    for (int i = 0; i < 3; ++i)
	{
        for (int j = 0; j < 3; ++j)
		{
            mtx.data[i * 4 + j] = m33.data[i * 3 + j];
        }
    }

    for (int i = 0; i < 3; ++i)
	{
        mtx.data[i * 4 + 3] = 0;
        mtx.data[i + 12] = 0;
    }
    mtx.data[15] = 1.0f;
}

void Matrix44::Set(Matrix44 &mtx, const float mtxArray[16])
{
    for(int i = 0; i < 16; ++i) {
        mtx.data[i] = mtxArray[i];
    }
}

void Matrix44::Translate(Matrix44 &mtx, const float vec[3])
{
    LoadIdentity(mtx);
    mtx.data[3] = vec[0];
    mtx.data[7] = vec[1];
    mtx.data[11] = vec[2];
}

void Matrix44::Multiply(const Matrix44 &a, const Matrix44 &b, Matrix44 &result)
{
    MatrixMul(4, a.data, b.data, result.data);
}