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Summary

Description
English: 3D RGB profile of the rainbow color map[1]
Date
Source Own work
Author Adam majewski
Other versions

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

C source code

/*

https://gitlab.com/adammajewski/color_gradient
c console program for testing color gradient
uses a code from gnuplot


gcc h.c -lm -Wall
a@zelman:~/c/varia/outor/gradient/hsv$ ./a.out

===========================
h= 360.000000	 s=0.000000	 v=1.000000
r= 1.000000	 g=1.000000	 b=1.000000
-----------------------------------
h= 0.000000	 s=1.000000	 v=1.000000
r= 1.000000	 g=0.000000	 b=0.000000






*/



#include <stdio.h>
#include <string.h> // strncat
#include <stdlib.h> // malloc
#include <math.h>		// floor;  needs -lm also






// size of virtual 2D array of pixels
// each piexel has a RGB color
int iWidth = 600;
int iHeight ; // 


// size of the dynamic 1D array 
unsigned char * data;
size_t ColorSize = 3; // RGB = number of color components = channels
size_t ArrayLength; // number of 1D array's elements = ENumber = iWidth*iHeight*ColorSize
size_t ElementSize; // size of array's element in bytes
size_t ArraySize; // size of array in bytes = ElementSize*ArrayLength 

// ppm P6 file
size_t HeaderSize ; // size of the P6 file  header in bytes
size_t FileSize; // = HeaderSize +ArraySize [bytes]







// gives position of 2D point (ix,iy) in 1D array  ; uses also global variables: iWidth , ColorSize
int Give_i ( int iX, int iY)
{
  return (iX + iY * iWidth) * ColorSize;  
}







/* 

GNUPLOT : http://gnuplot.sourceforge.net/
file : getoutor.c 

 * Petr Mikulik, December 1998 -- June 1999
 * Copyright: open source as much as possible
 *
*/



// from colour.h
/* Contains a colour in RGB scheme.
   Values of  r, g and b  are all in range [0;1] */
typedef struct {
    double r, g, b;
} rgb;

/* hsv :
 h : deg [0,360]
 s : % [0.0,100.0]
 v : % [0.0,100]
*/ 
typedef struct {
    double h, s, v;
} hsv;





/*
 *  outor Conversion Algorithms
 *  taken from http://www.cs.rit.edu/~ncs/outor/t_convert.html
 *  each outor model should provide a conversion to RGB.
 *  RGB values are clipped to [0,1] as some outors in some
 *  models have no RGB value.
 */

static void
HSV_2_RGB(hsv in, rgb *out)
{
    double h,s,v, f,p,q,t;
    int i;

    h = in.h;
    s = in.s;
    v = in.v;
    if (s == 0) { /* achromatic (gray) */
        out->r = out->g = out->b = v;
	return;
    }

    h *= 6.;  /* h range in gnuplot is [0,1] and not the usual [0,360] */
    i = floor(h);
    f = h - i;
    p = v * (1.0 - s);
    q = v * (1.0 - s*f);
    t = v * (1.0 - s*(1.0-f));
    switch(i % 6) {
    case 0:
	out->r = v;
	out->g = t;
	out->b = p;
	break;
    case 1:
	out->r = q;
	out->g = v;
	out->b = p;
	break;
    case 2:
	out->r = p;
	out->g = v;
	out->b = t;
	break;
    case 3:
	out->r = p;
	out->g = q;
	out->b = v;
	break;
    case 4:
	out->r = t;
	out->g = p;
	out->b = v;
	break;
    default:
	out->r = v;
	out->g = p;
	out->b = q;
	break;
    }
}







void PrintColor( FILE *fp, double position, hsv in, rgb out){
  // normalized to [0.0, 1.0] range RGB color channels
  double R = out.r; 
  double G = out.g;
  double B = out.b;
  // [Relative luminance is formed as a weighted sum of linear RGB components](https://en.wikipedia.org/wiki/Luma_(video)) 
  // 
  //from function test_palette_subcommand from file gnuplot/src/command.c test_palette_subcommand
  //ntsc = 0.299 * rgb.r + 0.587 * rgb.g + 0.114 * rgb.b;
  double Y = 0.299*R + 0.587*G + 0.114*B;
  
  
  //print 
	fprintf(fp, "%f\t", position);
	fprintf(fp, "%f\t %f\t%f\t%f\t", R, G, B, Y);
	fprintf(fp, "%f\t %f\t %f\n", in.h, in.s, in.v);
	
	
  

}




/* position -> hsv -> rgb 
 input position  double [0.0, 1.0]
 output rgb = unsigned char c array
 
 rainbow gradient = Rainbow colormap or sawtooth rainbow or hsv
*/
void ComputeAndPrintColor( FILE *fp, double position, unsigned char c[]){

	// "cyclic colormap traversing HSV color space. The map is obtained by linearly varying the hue through all possible values while keeping constant maximum saturation and value."
  
        hsv in = {position, 1.0, 1.0}; // set palette model HSV functions gray,1,1
	rgb out;
	
	// compute hsv from position 
	
	HSV_2_RGB(in, &out); // convert hsv to rgb 
	
	//
	PrintColor( fp, position, in, out);
  
  	//  change range
  	c[0] = 255*out.r; //R
  	c[1] = 255*out.g; // G
  	c[2] = 255*out.b; // B	
	

}













int PlotPoint(unsigned char A[], int i, unsigned char color[]){

  A[i]   = color[0]; /* Red*/
  A[i+1] = color[1]; /* Green */
  A[i+2] = color[2];  /* Blue */
  return 0;


}



// --------------------
int FillArray (unsigned char A[] , int n){

  int iX;
  int iXmax = iWidth;
  int iY;
  int iYmax = iHeight;
  int i; //  index of 1D array  
  double position; // number form 0.0 to 1.0 used for color gradient
  unsigned char color[3]; // 
	
  // text file used by the gnuplot for creating images
  char name [100]; /* name of file */
  snprintf(name, sizeof name, "%d", n); /*  */
  char *filename =strncat(name,".txt", 4);
  FILE *fp = fopen(filename, "w");
  if (fp==NULL) {
    printf("Error opening text file!\n");
    return 1;
  }
  fprintf(fp, "# position \t\t R \t\t G \t\tB \t\tY \t h\ts\tv\n"); // header of the text file
	
	
  //
  for(iX=0; iX<iXmax; ++iX){    
    position = (double) iX / iXmax;
    ComputeAndPrintColor(fp, position, color);
    
    // vertical   		
    for(iY=0; iY<iYmax; ++iY){
      i = Give_i(iX, iY);
      PlotPoint(A, i , color);
    }
        		
         			
  }


  fclose(fp);
  return 0;
}





// --------------- save dynamic "A" array of uinsigned char to the binary ppm file ( P6 ) --------------------------------
int SaveArray2PPM (unsigned char A[], size_t ASize,   int k)
{

  FILE *fp;
  const unsigned char MaxColorComponentValue = 255;	/* color component is coded from 0 to 255 ;  it is 8 bit color file */
  
  char name [100]; /* name of file */
  snprintf(name, sizeof name, "%d", k); /*  */
  char *filename =strncat(name,".ppm", 4);
  
  

  /* save image to the pgm file  */
  fp = fopen (filename, "wb");	/*create new file,give it a name and open it in binary mode  */
  if (fp == NULL) 
    {	printf("File open error"); 
      return 1;}
  else {
    fprintf (fp, "P6\n%u %u\n%u\n", iWidth, iHeight, MaxColorComponentValue);	/*write header to the file */
    fwrite (A, ASize, 1, fp);	// write dynamic A array to the binary file in one step  
 
    printf ("File %s saved. \n", filename);
    fclose (fp);
    return 0;}
  
}



// n = nummber of the gradient function
int MakeGradientImage(unsigned char A[],  int n){


  FillArray(data, n);
  SaveArray2PPM(data, ArraySize, n+iWidth);
  return 0;

}



int setup(){

  iHeight = iWidth/3; 
  // 1D array
  ArrayLength = iWidth*iHeight*ColorSize;
  ElementSize = sizeof(unsigned char);
  ArraySize = ElementSize*ArrayLength ; 
  HeaderSize = 11 + (size_t) (log10(iHeight) +log10(iWidth)); 
	
  FileSize = HeaderSize + ArraySize; 
	
  /* create dynamic 1D array for RGB colors  */
  data = malloc (ArraySize);
  if (data == NULL ){
    printf ( "Could not allocate memory for the array\n");
    return 1;}

	
  return 0;
}


void info(){

  printf("ppm (P6) header size = %zu bytes\n", HeaderSize);
  printf("Array Size  = %zu bytes\n", ArraySize);
  printf("PPM file size  = %zu bytes\n", FileSize);

	
}



int end(){


  printf (" allways free memory (deallocate )  to avoid memory leaks \n"); // https://en.wikipedia.org/wiki/C_dynamic_memory_allocation
  free (data);
  info();
  return 0;

}



int main(){

	setup();
      MakeGradientImage(data, 0);
	
  end();

	
	return 0;
}

Gnuplot source code

	
	set xlabel "R"
	set ylabel "G"
	set zlabel "B"

 	unset yrange
	set nokey	
	unset tics
	set xrange [0.0:1.0]
	set yrange [0.0:1.0]
	set zrange [0.0:1.0]
	set grid 
	set border 4095 ls 1 lc rgb "black" # Draw a complete box around a `splot`:
	
	set xzeroaxis
	set yzeroaxis
   	# set view <rot_x>{,{<rot_z>}{,{<scale>}{,<scale_z>}}}
   	# view is 60 rot_x, 30 rot_z, 1 scale, 1 scale_z
	set view 60,75
	set view equal xyz # to get an orthographic projection with all of the axes scaled equally
	set xyplane at 0 # adjusts the position at which the xy plane is drawn in a 3D plot

	# Set the output file name
  	outfile = sprintf('%d_3d_60_75_v.png',n)
  	set output outfile
  	
  	

	# title of the image for the array of strings
	sTitle = sprintf("3D %s profile of the rainbow colormap", word(spaces,n+1) )
	set title sTitle
	
	# http://www.bersch.net/gnuplot-doc/linetypes,-colors,-and-styles.html
  	# There are several ways to specify color when one plots using gnuplot.
  	# Among them hex-string (like "#0000ff") and rgbvalue (like "256") 
  	# specification is very important.
  	# here rgb value is computed 
	rgb(r,g,b) = 65536*int(255*r) + 256*int(255*g) + int(255*b)
	
	
	# http://gnuplot-surprising.blogspot.com/2012/10/
	#convert dec color value to its hex string
	dec2hex(dec)=gprintf("%02x",dec)
	#convert rgb color value to its hex string
	rgb2hex(r,g,b)="#".\
               dec2hex(255*r).\
               dec2hex(255*g).\
               dec2hex(255*b)

	
  	
	# Now plot the data with lines and points
	set label "(0,0,0)" at -0.1,0,0 right 
	#set label "0" at 1,-0.1,0 right
	#set label "1" at 1,+1.1,0 right 
	#set label "2" at 0,1.1,0 right 
	#set label "3" at 0,1,1 left 
	#set label "4" at 0,0,1 left 
	# set label "5" at 1,0,1 left 
	#set label "6" at 1,0,0 left 
	set label "(1,1,1)" at 1.1,1,1 left 
	splot 	infile using 1:1:1 with lines lw 3 lc rgb 'gray',\
		infile using 2:3:4:(rgb($2,$3,$4)) with points pt 7 ps 2 lc rgb variable ,\
		'-' w p pt 7 ps 2 lc rgb 'black'
		0 0 0
		1 1 1
		e
  1. gitlab adammajewski : color_gradient

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3D RGB profile of the rainbow color map

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