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BigNumStuff.cpp
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BigNumStuff.cpp
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/*
BigNumStuff.cpp a module for conversion of number to and from BigNums.
Written in Microsoft Visual 'C++' by Paul de Leeuw.
This program is written in "standard" C.Hardware dependant code
(console drivers & serial I / O) is in separate machine libraries.
*/
#include <Windows.h>
#include "BigDouble.h"
#include "BigComplex.h"
#include "complex.h"
#include "big.h"
#include "fractalp.h"
#include "manp.h"
#include "BigMatrix.h"
#define max(a,b) (((a) > (b)) ? (a) : (b))
extern double hor; // horizontal address
extern double vert; // vertical address
extern double xgap; // gap between pixels
extern double ygap; // gap between pixels
extern double yymax; // max value of vert
extern double mandel_width; // width of display
extern double closenuff; // periodicity bailout
extern double rqlim; // bailout level
extern Complex c;
extern Complex z, q;
extern CBigMatrix BigMat; // matrix applications for rotation and translation
extern Complex RotationCentre; // centre of rotation
extern int RotationAngle; // in degrees
extern HWND PixelHwnd; // pointer to window handle
extern WORD type; // M=mand, J=Julia 1,2,4->
BigDouble BigCloseEnough, BigBailout, Big_xxmax, Big_yymax, Big_xxmin, Big_yymin, Big_xgap, Big_ygap, BigHor, BigVert, BigWidth;
BigComplex zBig, cBig, qBig;
BYTE BigNumFlag = FALSE; // True if bignum used
int decimals = 10, precision;
static int OldPrecision = 0;
extern int ReinitBigVars(int);
/**************** a handy little debugging tool *********************/
#ifdef _DEBUG
extern HWND PixelHwnd; // pointer to handle for pixel updating
//extern int decimals;
extern void ConvertBignum2String(char *s, mpfr_t num);
void ShowBignum(BigDouble x, char *Location)
{
char *s1;
s1 = new char [SIZEOF_BF_VARS + 1];
char ss[24];
ConvertBignum2String(s1, x.x);
sprintf(ss, "bflength=%d", (int)strlen(s1));
MessageBox(PixelHwnd, s1, Location, MB_ICONEXCLAMATION | MB_OK);
// MessageBox (PixelHwnd, s1, ss, MB_ICONEXCLAMATION | MB_OK);
if (s1) { delete[] s1; s1 = NULL; }
}
#endif
/**************** a handy little debugging tool *********************/
/************************************************************************
Convert number types
*************************************************************************/
void BigCornerstoFloat(void)
{
c.x = (double)mpfr_get_d(cBig.x.x, MPFR_RNDN);
c.y = (double)mpfr_get_d(cBig.y.x, MPFR_RNDN);
yymax = (double)mpfr_get_d(Big_yymax.x, MPFR_RNDN);
xgap = (double)mpfr_get_d(Big_xgap.x, MPFR_RNDN);
ygap = (double)mpfr_get_d(Big_ygap.x, MPFR_RNDN);
z.x = (double)mpfr_get_d(zBig.x.x, MPFR_RNDN);
z.y = (double)mpfr_get_d(zBig.y.x, MPFR_RNDN);
hor = (double)mpfr_get_d(BigHor.x, MPFR_RNDN);
vert = (double)mpfr_get_d(BigVert.x, MPFR_RNDN);
mandel_width = (double)mpfr_get_d(BigWidth.x, MPFR_RNDN);
q.x = (double)mpfr_get_d(qBig.x.x, MPFR_RNDN);
q.y = (double)mpfr_get_d(qBig.y.x, MPFR_RNDN);
closenuff = (double)mpfr_get_d(BigCloseEnough.x, MPFR_RNDN);
BigNumFlag = FALSE;
}
/************************************************************************
Convert number types
*************************************************************************/
void FloatCornerstoBig(void)
{
cBig.x = c.x;
cBig.y = c.y;
Big_yymax = yymax;
Big_xgap = xgap;
Big_ygap = ygap;
zBig.x = z.x;
zBig.y = z.y;
BigHor = hor;
BigVert = vert;
BigWidth = mandel_width;
qBig.x = q.x;
qBig.y = q.y;
BigCloseEnough = closenuff;
BigBailout = rqlim;
BigNumFlag = TRUE;
}
/*
void FloatCornerstoBig(void)
{
cBig.x = c.x;
cBig.y = c.y;
Big_yymax = yymax;
Big_xgap = xgap;
Big_ygap = ygap;
zBig.x = z.x;
zBig.y = z.y;
BigHor = hor;
BigVert = vert;
BigWidth = mandel_width;
qBig.x = q.x;
qBig.y = q.y;
BigCloseEnough = closenuff;
BigBailout = 4.0;
BigNumFlag = TRUE;
}
*/
/***********************************************************************
This function calculates the precision needed to distiguish adjacent
pixels at Fractint's maximum resolution of MAXPIXELS by MAXPIXELS
(if rez==MAXREZ) or at current resolution (if rez==CURRENTREZ)
************************************************************************/
#ifdef DEBUG
extern void ShowBignum(BigDouble, char *);
#endif
/*
Orig
*/
int getprecbf_mag(void)
{
LDBL rez;
BigDouble temp;
int LocalDecimals;
LocalDecimals = 1;
if (BigNumFlag)
{
mandel_width = (double)mpfr_get_d(BigWidth.x, MPFR_RNDN);
if (mpfr_sgn(BigWidth.x) == 0 || mpfr_sgn(BigWidth.x) < 0)
// if (MPFR_FLAGS_ERANGE)
return -1; // no infinite loops
}
// which will prevent lack of precision
if (mandel_width < DBL_MIN) // we can do a BigNum calculation here to allow deeper zooming
{
temp = BigWidth;
rez = (double)mpfr_get_d(temp.x, MPFR_RNDN); // maybe we can get a few more decimals out of this
while (rez < DBL_MIN)
{
temp = temp * 10.0;
// ShowBignum(temp, "temp");
rez = (double)mpfr_get_d(temp.x, MPFR_RNDN); // maybe we can get a few more decimals out of this
LocalDecimals++;
}
}
else
rez = mandel_width;
if (LocalDecimals > SIZEOF_BF_VARS - PRECISION_FACTOR) // okay, I give up. Not enough memory for variables
return -1;
while (rez < 1.0 && LocalDecimals < SIZEOF_BF_VARS)
{
LocalDecimals++;
rez *= 10.0;
}
LocalDecimals = max(LocalDecimals, 3);
return(LocalDecimals);
}
/*
int getprecbf_mag(void)
{
BigDouble rez;
BigDouble temp, temp1 = DBL_MIN;
int LocalDecimals;
LocalDecimals = 1;
if (BigNumFlag)
{
mandel_width = (double)mpfr_get_d(BigWidth.x, MPFR_RNDN);
if (mpfr_sgn(BigWidth.x) == 0 || mpfr_sgn(BigWidth.x) < 0)
// if (MPFR_FLAGS_ERANGE)
return -1; // no infinite loops
}
// which will prevent lack of precision
if (mandel_width < DBL_MIN) // we can do a BigNum calculation here to allow deeper zooming
{
temp = BigWidth;
rez = temp; // maybe we can get a few more decimals out of this
while (rez < temp1)
{
temp = temp * 10.0;
// ShowBignum(temp, "temp");
rez = temp;
LocalDecimals++;
}
}
else
rez = mandel_width;
if (LocalDecimals > SIZEOF_BF_VARS - PRECISION_FACTOR) // okay, I give up. Not enough memory for variables
return -1;
temp1 = 1.0;
while(rez < temp1 && LocalDecimals < SIZEOF_BF_VARS)
{
LocalDecimals++;
rez *= 10.0;
}
LocalDecimals = max(LocalDecimals,3);
return(LocalDecimals);
}
*/
/*************************************************************************
Determine if Bignum is required and if so, what precision
*************************************************************************/
BOOL IsBignumFractal(int type)
{
int i;
BOOL IsBig = FALSE;
for (i = 0; BigFractalSpecific[i].big_calctype; i++)
if (type == BigFractalSpecific[i].type) // check the list of "allowed" fractals.
{
IsBig = TRUE;
break;
}
return IsBig;
}
int calcfracinit(void)
{
precision = getprecbf_mag();
decimals = precision + PRECISION_FACTOR;
// decimals = precision + PRECISION_FACTOR * 3; // add a bit of margin. Trade off speed against deeper precision.
// decimals = SIZEOF_BF_VARS; // full precision at a rediculous slow speed
if (BigNumFlag)
{
if (precision <= DBL_DIG - 3) // switch back to double when zooming out if using BigNum
// if (precision <= DBL_DIG - 13) // switch back to double when zooming out if using BigNum
{
BigCornerstoFloat();
OldPrecision = 0;
}
// if (precision > OldPrecision + 3)
if (precision > OldPrecision + 10)
{
// This is a cludge that resets all the internal parameters of Bignum and allows ongoing increases in the number of decimals
if (ReinitBigVars(decimals) < 0)
{
MessageBox (PixelHwnd, "Ran out of resolution - retry", "ManpWIN", MB_ICONEXCLAMATION | MB_OK);
return FALSE;
}
OldPrecision = precision;
}
}
// else if ((precision > DBL_DIG - 13) && IsBignumFractal(type))
else if ((precision > DBL_DIG - 3) && IsBignumFractal(type))
{ // switch to BigNum when zooming in if using double
OldPrecision = 0;
// if (init_big_dec(decimals) < 0)
// return -1;
FloatCornerstoBig();
if (RotationAngle != NORMAL && RotationAngle != 90 && RotationAngle != 180 && RotationAngle != 270)
{
double z_rot = (double)RotationAngle;
BigMat.InitTransformation(RotationCentre.x, RotationCentre.y, 0.0, 0.0, 0.0, z_rot);
}
}
return 0;
}