ppsspp/Common/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 or later versions.

// 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 {
#ifdef USE_SSE
  static u32 saved_sse_state = _mm_getcsr();
  static const u32 default_sse_state = _mm_getcsr();
#endif
}

namespace MathUtil
{

  u32 ClassifyDouble(double dvalue)
  {
    // TODO: Optimize the below to be as fast as possible.
    IntDouble value;
    value.d = dvalue;
    u64 sign = value.i & DOUBLE_SIGN;
    u64 exp  = value.i & DOUBLE_EXP;
    if (exp > DOUBLE_ZERO && exp < DOUBLE_EXP) 
    {
      // Nice normalized number.
      return sign ? PPC_FPCLASS_NN : PPC_FPCLASS_PN;
    }
    else
    {
      u64 mantissa = value.i & DOUBLE_FRAC;
      if (mantissa)
      {
        if (exp)
        {
          return PPC_FPCLASS_QNAN;
        }
        else
        {
          // Denormalized number.
          return sign ? PPC_FPCLASS_ND : PPC_FPCLASS_PD;
        }
      }
      else if (exp)
      {
        //Infinite
        return sign ? PPC_FPCLASS_NINF : PPC_FPCLASS_PINF;
      }
      else
      {
        //Zero
        return sign ? PPC_FPCLASS_NZ : PPC_FPCLASS_PZ;
      }
    }
  }

  u32 ClassifyFloat(float fvalue)
  {
    // TODO: Optimize the below to be as fast as possible.
    IntFloat value;
    value.f = fvalue;
    u32 sign = value.i & FLOAT_SIGN;
    u32 exp  = value.i & FLOAT_EXP;
    if (exp > FLOAT_ZERO && exp < FLOAT_EXP) 
    {
      // Nice normalized number.
      return sign ? PPC_FPCLASS_NN : PPC_FPCLASS_PN;
    }
    else
    {
      u32 mantissa = value.i & FLOAT_FRAC;
      if (mantissa)
      {
        if (exp)
        {
          return PPC_FPCLASS_QNAN; // Quiet NAN
        }
        else
        {
          // Denormalized number.
          return sign ? PPC_FPCLASS_ND : PPC_FPCLASS_PD;			
        }
      } 
      else if (exp) 
      {
        // Infinite
        return sign ? PPC_FPCLASS_NINF : PPC_FPCLASS_PINF;
      } 
      else 
      {
        //Zero
        return sign ? PPC_FPCLASS_NZ : PPC_FPCLASS_PZ;
      }
    }	
  }


}  // namespace

void LoadDefaultSSEState()
{
#ifdef USE_SSE
  _mm_setcsr(default_sse_state);
#endif
}


void LoadSSEState()
{
#ifdef USE_SSE
  _mm_setcsr(saved_sse_state);
#endif
}


void SaveSSEState()
{
#ifdef USE_SSE
  saved_sse_state = _mm_getcsr();
#endif
}

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);
}

int Pow2roundup(int x)
{
	if (x < 0)
		return 0;
	--x;
	x |= x >> 1;
	x |= x >> 2;
	x |= x >> 4;
	x |= x >> 8;
	x |= x >> 16;
	return x+1;
}

int GetPow2(int x)
{
	int ret = 0;
	int val = 1;
	while(x > val)
	{
		ret++;
		val *= 2;
	}
	return ret;
}