twz-generator.c

//  twz.generator.c
//  Original Author: Peter Meyer
//  Calculate the value of the timewave at a point.
//  Last mod.: 1998-01-05
// http://www.fractal-timewave.com/

// Ported to Linux
// 4 Oct 2009
// John A Phelps
// kl4yfd@gmail.com

// Fixed indentations and formatting
// 28 Dec 2019
// John A Phelps
// kl4yfd@gmail.com

/*

This is free and unencumbered software released into the public domain.

Anyone is free to copy, modify, publish, use, compile, sell, or
distribute this software, either in source code form or as a compiled
binary, for any purpose, commercial or non-commercial, and by any
means.

In jurisdictions that recognize copyright laws, the author or authors
of this software dedicate any and all copyright interest in the
software to the public domain. We make this dedication for the benefit
of the public at large and to the detriment of our heirs and
successors. We intend this dedication to be an overt act of
relinquishment in perpetuity of all present and future rights to this
software under copyright law.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.

For more information, please refer to <http://unlicense.org/>

09 Dec 2012
*/


#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <stdint.h>
#include <string.h>


#define FALSE 0
#define TRUE  1
#define NUM_POWERS 64
#define PREC 16 // long double (80 bit) numbers have about 16 significant digits  INTEL / AMD / x86_64
//#define PREC 32 // long double (128 bit) numbers have about 32 significant digits (QUAD PRECISION)
#define NUM_SETS 4
#define NUM_DATA_POINTS 384
#define CALC_PREC       1000000  //  precision in calculation of wave values


long double powers[NUM_POWERS];

//  Powers of (normally) 64.
//  Due to the limitations of double precision
//  floating point arithmetic these values are
//  exact only up to powers[8] for powers of 64.

int64_t wave_factor = 64;		//  default wave factor 
int64_t number_set, stringchar;


char *usage = "\nUsage: twz [dtz] [neg] [step] [wf]." 
"\n dtz = days to zero-point" 
"\n step = steps in which to decrement time (in minutes)" 
"\n wf = wave factor (default 64, range 2-10000)" 
"\n\nThis program calculates the running values of the timewave within the given window.\n";



char *set_name[NUM_SETS] =
{ "Kelley", "Watkins", "Sheliak", "Huang Ti" };


char *title = "Days to Zero (DTZ), Kelley, Watkins, Sheliak, Huang Ti";


//  The number sets.
int64_t w[NUM_SETS][NUM_DATA_POINTS] = 
{ 
	{
	#include "DATA/DATA.TW1"		//  half-twist
	}, 
	{
	#include "DATA/DATA.TW2"		//  no half-twist
	}, 
	{
	#include "DATA/DATA.TW3"		//  Sheliak 
	}, 
	{
	#include "DATA/DATA.TW4"		//  HuangTi (no half-twist)
	} 
};

void inputerror (void);
void get_dtzp (void);
void get_NegBailout (void);
void get_step (void);
void get_wave_factor (void);
void set_powers (void);

long double f (long double x, int64_t number_set);
long double fONE (long double x);
long double fTWO (long double x);
long double fTHREE (long double x);
long double fFOUR (long double x);

long double v (long double y, int64_t number_set);
long double mult_power (long double x, int64_t i);
long double div_power (long double x, int64_t i);
long double dtzp, NegativeBailout, step;


/*-----------------------------*/ 
int main (int argc, char *argv[]) 
{
	int64_t i, j, ch;

	if (argc != 5 && argc != 1) {
		printf ("%s", usage);
		inputerror ();
	}
  
	if (argc == 5) {

		dtzp = atof (&argv[1][0]);
    
	    NegativeBailout = atof (&argv[2][0]);
	    NegativeBailout *= -1;
    
		step = atof (&argv[3][0]);
		step /= 60;		// Convert to 60 minute hours 
		step /= 24;			// Convert to 24 hour days 
    
		wave_factor = atoi (&argv[4][0]);
    
		if (wave_factor < 2 || wave_factor > 10000) {
			printf ("%s", usage);
			inputerror ();
		}
	}
	
	if (argc == 1) {		// If no commandline inputs
		get_dtzp();
		get_NegBailout();
		get_step();
		get_wave_factor();
	}

	set_powers();

	//printf("\n\ndtzp: %lfstep: %lfwave_factor: %d",dtzp, step, wave_factor);
	printf ("\n%s\n", title);
	
	while (dtzp >= NegativeBailout) {
		printf ("%.*Lf ,", PREC, dtzp);
		
		for (number_set = 0; number_set < NUM_SETS; number_set++) {
			printf ("%.*Lf ,", PREC, f (dtzp, number_set));
		}
	    printf ("\n");
	    dtzp -= step;
	}
	
}



//  wave_factor is a global variable
/*-----------------*/ 
void set_powers (void) 
{
	uint64_t j;
  
	/*  put powers[j] = wave_factor^j  */ 
	powers[0] = (long double) 1;
  
	for (j = 1; j < NUM_POWERS; j++)
	    powers[j] = wave_factor * powers[j - 1];
}



/*  x is number of days to zero date  */ 
/*--------------*/ 
long double f (long double x, int64_t number_set) 
{
	uint64_t i;
	long double sum = 0.0, last_sum = 0.0;
  
	if (x) {
    
		for (i = 0; x >= powers[i]; i++)
			sum += mult_power (v (div_power (x, i), number_set), i);
		
		i = 0;
		do {
			if (++i > CALC_PREC + 2)
				break;
      
			last_sum = sum;
			sum += div_power (v (mult_power (x, i), number_set), i);
	
		} while ((sum == 0.0) || (sum > last_sum));
    
	}
  
	/*  dividing by 64^3 gives values consistent with the Apple // version
	*  and provides more convenient y-axis labels
	*/ 
	sum = div_power (sum, 3);
	return (sum);
}




/*--------------*/ 
long double v (long double y, int64_t number_set) 
{
  
	int64_t i = (int64_t) (fmod (y, (long double) NUM_DATA_POINTS));
  
	int64_t j = (i + 1) % NUM_DATA_POINTS;
  
	long double z = y - floor (y);
  
	return (z == 0.0 ? (long double) w[number_set][i] : 
		(w[number_set][j] - w[number_set][i]) * z + w[number_set][i]);
} 


/*  in order to speed up the calculation, if wave factor = 64
*  then instead of using multiplication or division operation
*  we act directly on the floating point representation;
*  multiplying by 64^i is accomplished by adding i*0x60
*  to the exponent (the last 2 bytes of the 8-byte representation);
*  dividing by 64^i is accomplished by subtracting i*0x60
*  from the exponent
*/ 

/*-----------------------*/ 
long double mult_power (long double x, int64_t i) 
{
	/* Removing this code: Switching to 64-bit datatypes
	int *exponent = (int *) &x + 3;
	if (wave_factor == 64)
		*exponent += i * 0x60; //   measurably faster  
	else
	*/    
		x *= powers[i];
	return (x);
}



/*----------------------*/ 
long double div_power (long double x, int64_t i) 
{
	/* Removing this code: Switching to 64-bit datatypes
	int *exponent = (int *) &x + 3;
	if ((wave_factor == 64) && (*exponent > i * 0x60))
		*exponent -= i * 0x60;
	else */
	    x /= powers[i];
	
	return (x);
}


void get_dtzp (void) 
{
	printf ("Enter the number of days before zero point:  ");
	int64_t temp = scanf ("%Lf", &dtzp);
}

void get_NegBailout (void) 
{
	printf ("Enter the number of days to calculate after zero point:  ");
	int64_t temp = scanf ("%Lf", &NegativeBailout);
  
	NegativeBailout *= -1;	// Set to negative for internal use
}


void get_step (void) 
{
	printf ("Enter the time step in minutes ( >= 0 ):  ");
	int64_t temp = scanf ("%Lf", &step);
  
	step /= 60;			// Convert to 60 minute hours
	step /= 24;			// Convert to fractions of 24-hour days for internal calculations...
	if (step < 0)
		inputerror ();
}


void get_wave_factor (void) 
{
	printf ("Enter the wave factor (2-10000) (default 64): ");
	int64_t temp = scanf ("%ld", &wave_factor);
  
	if ( wave_factor < 2 || wave_factor > 10000 ) inputerror(); 
} 


int64_t doublecheck (void) 
{
	char answer;

	printf ("\nThe combination you have chosen will create %Lf data points. \nDo you wish to continue? (Y/N) ", 1 + (int) dtzp / step);
	answer = getchar ();
} 

void inputerror (void) 
{
	printf ("\nError: Invalid input, exiting.\n\n");
	exit (EXIT_SUCCESS);
}