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DerivSlope.cpp
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DerivSlope.cpp
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#include "FrameCalculator.h"
void calculateFrame::BigProcessDerivativeSlope(ExpComplex ExpDC, ExpComplex ExpTemp, HANDLE ghMutex, long iteration, CTrueCol *TrueCol, int x, int y)
{
BigComplex BigDC = 0.0;
BigComplex BigU;
BigDouble BigReflection;
double reflection;
if (subtype == 57) // polynomial
LightHeight = 2.0; // param 1 is used for a polynomial coefficient, so use a default
else
LightHeight = param[1]; // height
LightHeight *= 1.333; // height * 1.333 : seems to need a bit more height to get similar images to double float
BigComplex BigZ;
BigDC = ExpDC; // upgrade to BigDouble for accuracy. As we only do it once per pixel, we can afford the overhead.
BigZ = ExpTemp;
BigU = BigZ / BigDC;
BigU = BigU / BigU.CFabs();
BigReflection = BigU.x * v.x + BigU.y * v.y + LightHeight;
reflection = BigReflection.BigDoubleToDouble();
ProcessDerivativeSlopeMain(reflection, ghMutex, iteration, TrueCol, x, y);
}
void calculateFrame::ProcessDerivativeSlope(Complex dc, Complex z, HANDLE ghMutex, long iteration, CTrueCol *TrueCol, int x, int y)
{
BigComplex BigDC = 0.0;
BigComplex BigU;
BigDouble BigReflection;
Complex u;
double reflection;
if (subtype == 57) // polynomial
LightHeight = 2.0; // param 1 is used for a polynomial coefficient, so use a default
else
LightHeight = param[1]; // height
if (precision > MAXDERPRECISION) // beyond MAXDERPRECISION precision, upgrade Slope calcs to BigDouble for accuracy.
{
BigComplex BigZ;
LightHeight *= 1.333; // seems to need a bit more height to get similar images to double float
BigDC = dc; // upgrade to BigDouble for accuracy. As we only do it once per pixel, we can afford the overhead.
BigZ = z;
BigU = BigZ / BigDC;
BigU = BigU / BigU.CFabs();
BigReflection = BigU.x * v.x + BigU.y * v.y + LightHeight;
reflection = BigReflection.BigDoubleToDouble();
}
else
{
u = z / dc;
u = u / u.CFabs();
reflection = u.x * v.x + u.y * v.y + LightHeight;
}
ProcessDerivativeSlopeMain(reflection, ghMutex, iteration, TrueCol, x, y);
}
void calculateFrame::ProcessDerivativeSlopeMain(double reflection, HANDLE ghMutex, long iteration, CTrueCol *TrueCol, int x, int y)
{
BYTE b;
RGBTRIPLE colour;
DWORD local_width, address;
reflection = reflection / (1.0 + LightHeight); // rescale so that t does not get bigger than 1
if (reflection < 0.0) reflection = 0.0;
// if (reflection > 1.0) reflection = 1.0;
if (ghMutex != NULL)
WaitForSingleObject(ghMutex, INFINITE); // no time-out interval
if (iteration >= MaxIteration)
{
colour.rgbtRed = (BYTE)TrueCol->InsideRed; // M_waves
colour.rgbtGreen = (BYTE)TrueCol->InsideGreen;
colour.rgbtBlue = (BYTE)TrueCol->InsideBlue;
}
else // exterior of Mandelbrot set = normal
{
b = (BYTE)(255.0 * reflection);
if (iteration >= PaletteStart)
{
if (iteration > 500)
int qwerty = 1;
colour.rgbtRed = (BYTE)((reflection) * (double)(*(TrueCol->PalettePtr + ((iteration) % TrueCol->ColoursInPALFile) * 3 + 0))); // Red
colour.rgbtGreen = (BYTE)((reflection) * (double)(*(TrueCol->PalettePtr + ((iteration) % TrueCol->ColoursInPALFile) * 3 + 1))); // Green
colour.rgbtBlue = (BYTE)((reflection) * (double)(*(TrueCol->PalettePtr + ((iteration) % TrueCol->ColoursInPALFile) * 3 + 2))); // Blue
}
else
{
colour.rgbtRed = b;
colour.rgbtGreen = b;
colour.rgbtBlue = b;
}
}
// plot the point
local_width = WIDTHBYTES((DWORD)Dib->DibWidth * (DWORD)Dib->BitsPerPixel);
address = ((DWORD)(/*height - 1 - */y) * (DWORD)(local_width + 3 - ((local_width - 1) % 4)) + (DWORD)((thread * width + x) * 3));
memcpy(Dib->DibPixels + address, &colour, 3);
if (ghMutex != NULL)
ReleaseMutex(ghMutex);
// return 0;
}
//////////////////////////////////////////////////////////////////////
// Calculate the derivative slope
//////////////////////////////////////////////////////////////////////
void calculateFrame::CalculateDerivativeSlope(Complex *dc, Complex z)
{
Complex temp;
int k;
if (subtype == 0) // Mandelbrot
{
*dc = z * 2 * *dc + 1.0;
}
else if (subtype == 1) // Power
{
temp = 1.0;
for (k = 0; k < (int)power - 1; k++)
temp *= z;
*dc = temp * *dc * power + 1.0; // z^k --> k a z^(k - 1)
}
else if (subtype == 10) // Tricorn
// z -> (z*)^2 + c, which yields the so-called tricorn fractal shown below.
{
Complex conjugate = z;
conjugate.y = -conjugate.y;
*dc = conjugate * 2 * *dc + 1.0;
// dc = temp1 * 2 * dc + 1.0;
// dc.y = dc.y;
// conjugate.y = -conjugate.y;
// dc = conjugate * dc * 2 + 1.0;
// dc.x = (conjugate.x - conjugate.y) * 2 * dc.x + 1.0;
// dc.y = -2 * (conjugate.x + conjugate.y) * dc.y;
}
else if (subtype == 57) // Polynomial
// z^k --> k a z^(k - 1)
{
Complex Tenth, Nineth, Eighth, Seventh, Sixth, Quintic, Quartic, Cubic, Square;
Square = z;
Cubic = Square * z;
Quartic = Cubic * z;
Quintic = Quartic * z;
Sixth = Quintic * z;
Seventh = Sixth * z;
Eighth = Seventh * z;
Nineth = Eighth * z;
Tenth = Nineth * z;
Tenth *= param[0];
Nineth *= param[1];
Eighth *= param[2];
Seventh *= param[3];
Sixth *= param[4];
Quintic *= param[5];
Quartic *= param[6];
Cubic *= param[7];
Square *= param[8];
*dc = (Square * 2 + Cubic * 3 + Quartic * 4 + Quintic * 5 + Sixth * 6 + Seventh * 7 + Eighth * 8 + Nineth * 9 + Tenth * 10) * *dc + param[9] + 1.0;
}
}
//////////////////////////////////////////////////////////////////////
// Calculate the derivative slope for floatexp
//////////////////////////////////////////////////////////////////////
void calculateFrame::BigCalculateDerivativeSlope(ExpComplex *ExpDC, ExpComplex z)
{
ExpComplex temp;
int k;
if (subtype == 0) // Mandelbrot
*ExpDC = z * 2 * *ExpDC + 1.0;
else if (subtype == 1) // Power
{
if (power == 3)
*ExpDC = z.CSqr() * 3 * *ExpDC + 1.0;
else
{
temp = 1.0; // temp2 = 1.0;
for (k = 0; k < (int)param[2] - 1; k++)
temp *= z;
*ExpDC = temp * *ExpDC * param[2] + 1.0; // z^k --> k a z^(k - 1)
}
}
else if (subtype == 57) // Polynomial
// z^k --> k a z^(k -1)
{
ExpComplex ExpTenth, ExpNineth, ExpEighth, ExpSeventh, ExpSixth, ExpQuintic, ExpQuartic, ExpCubic, ExpSquare;
ExpSquare = z;
ExpCubic = ExpSquare * z;
ExpQuartic = ExpCubic * z;
ExpQuintic = ExpQuartic * z;
ExpSixth = ExpQuintic * z;
ExpSeventh = ExpSixth * z;
ExpEighth = ExpSeventh * z;
ExpNineth = ExpEighth * z;
ExpTenth = ExpNineth * z;
ExpTenth = ExpTenth * param[0];
ExpNineth = ExpNineth * param[1];
ExpEighth = ExpEighth * param[2];
ExpSeventh = ExpSeventh * param[3];
ExpSixth = ExpSixth * param[4];
ExpQuintic = ExpQuintic * param[5];
ExpQuartic = ExpQuartic * param[6];
ExpCubic = ExpCubic * param[7];
ExpSquare = ExpSquare * param[8];
*ExpDC = (ExpSquare * 2 + ExpCubic * 3 + ExpQuartic * 4 + ExpQuintic * 5 + ExpSixth * 6 + ExpSeventh * 7 + ExpEighth * 8 + ExpNineth * 9 + ExpTenth * 10) * *ExpDC + param[9] + 1.0;
}
}