/*

        Fractal forgery generator for the PPM toolkit

    Originally  designed  and  implemented  in December of 1989 by
    John Walker as a stand-alone program for the  Sun  and  MS-DOS
    under  Turbo C.  Adapted in September of 1991 for use with Jef
        Poskanzer's raster toolkit.

    References cited in the comments are:

        Foley, J. D., and Van Dam, A., Fundamentals of Interactive
        Computer  Graphics,  Reading,  Massachusetts:  Addison
        Wesley, 1984.

        Peitgen, H.-O., and Saupe, D. eds., The Science Of Fractal
        Images, New York: Springer Verlag, 1988.

        Press, W. H., Flannery, B. P., Teukolsky, S. A., Vetterling,
        W. T., Numerical Recipes In C, New Rochelle: Cambridge
        University Press, 1988.

    Author:
        John Walker
        http://www.fourmilab.ch/

    Permission  to  use, copy, modify, and distribute this software and
    its documentation  for  any  purpose  and  without  fee  is  hereby
    granted,  without any conditions or restrictions.  This software is
    provided "as is" without express or implied warranty.

*/

#define _XOPEN_SOURCE   /* get M_PI in math.h */

#include <math.h>
#include <assert.h>

#include "pm_c_util.h"
#include "ppm.h"
#include "mallocvar.h"

#ifdef VMS
static double const hugeVal = HUGE_VAL;
#else
static double const hugeVal = 1e50;
#endif

/* Definitions used to address real and imaginary parts in a two-dimensional
   array of complex numbers as stored by fourn(). */

#define Real(v, x, y)  v[1 + (((x) * meshsize) + (y)) * 2]
#define Imag(v, x, y)  v[2 + (((x) * meshsize) + (y)) * 2]

/* Co-ordinate indices within arrays. */

typedef struct {
    double x;
    double y;
    double z; 
} vector;

/* Definition for obtaining random numbers. */

#define nrand 4               /* Gauss() sample count */
#define Cast(low, high) ((low)+(((high)-(low)) * ((rand() & 0x7FFF) / arand)))

/* prototypes */
static void fourn ARGS((float data[], int nn[], int ndim, int isign));
static void initgauss ARGS((unsigned int seed));
static double gauss ARGS((void));
static void spectralsynth ARGS((float **x, unsigned int n, double h));
static void temprgb ARGS((double temp, double *r, double *g, double *b));
static void etoile ARGS((pixel *pix));
/*  Local variables  */

static double arand, gaussadd, gaussfac; /* Gaussian random parameters */
static double fracdim;            /* Fractal dimension */
static double powscale;           /* Power law scaling exponent */
static int meshsize = 256;        /* FFT mesh size */
static unsigned int seedarg;        /* Seed specified by user */
static bool seedspec = FALSE;      /* Did the user specify a seed ? */
static bool clouds = FALSE;        /* Just generate clouds */
static bool stars = FALSE;         /* Just generate stars */
static int screenxsize = 256;         /* Screen X size */
static int screenysize = 256;         /* Screen Y size */
static double inclangle, hourangle;   /* Star position relative to planet */
static bool inclspec = FALSE;      /* No inclination specified yet */
static bool hourspec = FALSE;      /* No hour specified yet */
static double icelevel;           /* Ice cap theshold */
static double glaciers;           /* Glacier level */
static int starfraction;          /* Star fraction */
static int starcolor;            /* Star color saturation */

/*  FOURN  --  Multi-dimensional fast Fourier transform

    Called with arguments:

       data       A  one-dimensional  array  of  floats  (NOTE!!!   NOT
              DOUBLES!!), indexed from one (NOTE!!!   NOT  ZERO!!),
              containing  pairs of numbers representing the complex
              valued samples.  The Fourier transformed results  are
              returned in the same array.

       nn         An  array specifying the edge size in each dimension.
              THIS ARRAY IS INDEXED FROM  ONE,  AND  ALL  THE  EDGE
              SIZES MUST BE POWERS OF TWO!!!

       ndim       Number of dimensions of FFT to perform.  Set to 2 for
              two dimensional FFT.

       isign      If 1, a Fourier transform is done; if -1 the  inverse
              transformation is performed.

        This  function  is essentially as given in Press et al., "Numerical
        Recipes In C", Section 12.11, pp.  467-470.
*/

static void fourn(data, nn, ndim, isign)
    float data[];
    int nn[], ndim, isign;
{
    register int i1, i2, i3;
    int i2rev, i3rev, ip1, ip2, ip3, ifp1, ifp2;
    int ibit, idim, k1, k2, n, nprev, nrem, ntot;
    float tempi, tempr;
    double theta, wi, wpi, wpr, wr, wtemp;

#define SWAP(a,b) tempr=(a); (a) = (b); (b) = tempr

    ntot = 1;
    for (idim = 1; idim <= ndim; idim++)
        ntot *= nn[idim];
    nprev = 1;
    for (idim = ndim; idim >= 1; idim--) {
        n = nn[idim];
        nrem = ntot / (n * nprev);
        ip1 = nprev << 1;
        ip2 = ip1 * n;
        ip3 = ip2 * nrem;
        i2rev = 1;
        for (i2 = 1; i2 <= ip2; i2 += ip1) {
            if (i2 < i2rev) {
                for (i1 = i2; i1 <= i2 + ip1 - 2; i1 += 2) {
                    for (i3 = i1; i3 <= ip3; i3 += ip2) {
                        i3rev = i2rev + i3 - i2;
                        SWAP(data[i3], data[i3rev]);
                        SWAP(data[i3 + 1], data[i3rev + 1]);
                    }
                }
            }
            ibit = ip2 >> 1;
            while (ibit >= ip1 && i2rev > ibit) {
                i2rev -= ibit;
                ibit >>= 1;
            }
            i2rev += ibit;
        }
        ifp1 = ip1;
        while (ifp1 < ip2) {
            ifp2 = ifp1 << 1;
            theta = isign * (M_PI * 2) / (ifp2 / ip1);
            wtemp = sin(0.5 * theta);
            wpr = -2.0 * wtemp * wtemp;
            wpi = sin(theta);
            wr = 1.0;
            wi = 0.0;
            for (i3 = 1; i3 <= ifp1; i3 += ip1) {
                for (i1 = i3; i1 <= i3 + ip1 - 2; i1 += 2) {
                    for (i2 = i1; i2 <= ip3; i2 += ifp2) {
                        k1 = i2;
                        k2 = k1 + ifp1;
                        tempr = wr * data[k2] - wi * data[k2 + 1];
                        tempi = wr * data[k2 + 1] + wi * data[k2];
                        data[k2] = data[k1] - tempr;
                        data[k2 + 1] = data[k1 + 1] - tempi;
                        data[k1] += tempr;
                        data[k1 + 1] += tempi;
                    }
                }
                wr = (wtemp = wr) * wpr - wi * wpi + wr;
                wi = wi * wpr + wtemp * wpi + wi;
            }
            ifp1 = ifp2;
        }
        nprev *= n;
    }
}
#undef SWAP

/*  INITGAUSS  --  Initialize random number generators.  As given in
           Peitgen & Saupe, page 77. */

static void initgauss(seed)
    unsigned int seed;
{
    /* Range of random generator */
    arand = pow(2.0, 15.0) - 1.0;
    gaussadd = sqrt(3.0 * nrand);
    gaussfac = 2 * gaussadd / (nrand * arand);
    srand(seed);
}

/*  GAUSS  --  Return a Gaussian random number.  As given in Peitgen
           & Saupe, page 77. */

static double gauss()
{
    int i;
    double sum = 0.0;

    for (i = 1; i <= nrand; i++) {
        sum += (rand() & 0x7FFF);
    }
    return gaussfac * sum - gaussadd;
}

/*  SPECTRALSYNTH  --  Spectrally  synthesized  fractal  motion in two
               dimensions.  This algorithm is given under  the
               name   SpectralSynthesisFM2D  on  page  108  of
               Peitgen & Saupe. */

static void spectralsynth(x, n, h)
    float **x;
    unsigned int n;
    double h;
{
    unsigned bl;
    int i, j, i0, j0, nsize[3];
    double rad, phase, rcos, rsin;
    float *a;

    bl = ((((unsigned long) n) * n) + 1) * 2 * sizeof(float);
    a = (float *) calloc(bl, 1);
    if (a == (float *) 0) {
        pm_error("Cannot allocate %d x %d result array (% d bytes).",
                 n, n, bl);
    }
    *x = a;

    for (i = 0; i <= n / 2; i++) {
        for (j = 0; j <= n / 2; j++) {
            phase = 2 * M_PI * ((rand() & 0x7FFF) / arand);
            if (i != 0 || j != 0) {
                rad = pow((double) (i * i + j * j), -(h + 1) / 2) * gauss();
            } else {
                rad = 0;
            }
            rcos = rad * cos(phase);
            rsin = rad * sin(phase);
            Real(a, i, j) = rcos;
            Imag(a, i, j) = rsin;
            i0 = (i == 0) ? 0 : n - i;
            j0 = (j == 0) ? 0 : n - j;
            Real(a, i0, j0) = rcos;
            Imag(a, i0, j0) = - rsin;
        }
    }
    Imag(a, n / 2, 0) = 0;
    Imag(a, 0, n / 2) = 0;
    Imag(a, n / 2, n / 2) = 0;
    for (i = 1; i <= n / 2 - 1; i++) {
        for (j = 1; j <= n / 2 - 1; j++) {
            phase = 2 * M_PI * ((rand() & 0x7FFF) / arand);
            rad = pow((double) (i * i + j * j), -(h + 1) / 2) * gauss();
            rcos = rad * cos(phase);
            rsin = rad * sin(phase);
            Real(a, i, n - j) = rcos;
            Imag(a, i, n - j) = rsin;
            Real(a, n - i, j) = rcos;
            Imag(a, n - i, j) = - rsin;
        }
    }

    nsize[0] = 0;
    nsize[1] = nsize[2] = n;          /* Dimension of frequency domain array */
    fourn(a, nsize, 2, -1);       /* Take inverse 2D Fourier transform */
}


static unsigned int
initseed(void) {
    /*  Generate initial random seed.  */

    unsigned int i;

    srand(pm_randseed());
    for (i = 0; i < 7; ++i)
        rand();
    return rand();
}



/*  TEMPRGB  --  Calculate the relative R, G, and B components  for  a
         black  body  emitting  light  at a given temperature.
         The Planck radiation equation is solved directly  for
         the R, G, and B wavelengths defined for the CIE  1931
         Standard    Colorimetric    Observer.    The   color
         temperature is specified in degrees Kelvin. */

static void temprgb(temp, r, g, b)
    double temp;
    double *r, *g, *b;
{
    double c1 = 3.7403e10,
        c2 = 14384.0,
        er, eg, eb, es;

/* Lambda is the wavelength in microns: 5500 angstroms is 0.55 microns. */

#define Planck(lambda)  ((c1 * pow((double) lambda, -5.0)) /  \
                         (pow(M_E, c2 / (lambda * temp)) - 1))

        er = Planck(0.7000);
        eg = Planck(0.5461);
        eb = Planck(0.4358);
#undef Planck

        es = 1.0 / MAX(er, MAX(eg, eb));

        *r = er * es;
        *g = eg * es;
        *b = eb * es;
}

/*  ETOILE  --  Set a pixel in the starry sky.  */

static void etoile(pix)
    pixel *pix;
{
    if ((rand() % 1000) < starfraction) {
#define StarQuality 0.5       /* Brightness distribution exponent */
#define StarIntensity   8         /* Brightness scale factor */
#define StarTintExp 0.5       /* Tint distribution exponent */
        double v = StarIntensity * pow(1 / (1 - Cast(0, 0.9999)),
                                       (double) StarQuality),
            temp,
            r, g, b;

        if (v > 255) {
            v = 255;
        }

        /* We make a special case for star color  of zero in order to
           prevent  floating  point  roundoff  which  would  otherwise
           result  in  more  than  256 star colors.  We can guarantee
           that if you specify no star color, you never get more than
           256 shades in the image. */

        if (starcolor == 0) {
            int vi = v;

            PPM_ASSIGN(*pix, vi, vi, vi);
        } else {
            temp = 5500 + starcolor *
                pow(1 / (1 - Cast(0, 0.9999)), StarTintExp) *
                ((rand() & 7) ? -1 : 1);
            /* Constrain temperature to a reasonable value: >= 2600K 
               (S Cephei/R Andromedae), <= 28,000 (Spica). */
            temp = MAX(2600, MIN(28000, temp));
            temprgb(temp, &r, &g, &b);
            PPM_ASSIGN(*pix, (int) (r * v + 0.499),
                       (int) (g * v + 0.499),
                       (int) (b * v + 0.499));
        }
    } else {
        PPM_ASSIGN(*pix, 0, 0, 0);
    }
}



static double
uprj(unsigned int const a,
     unsigned int const size) {

    return (double)a/(size-1);
}



static double
atSat(double const x,
      double const y,
      double const dsat) {

    return x*(1.0-dsat) + y*dsat;
}



static unsigned char *
makeCp(float *      const a,
       unsigned int const n,
       pixval       const maxval) {

    /* Prescale the grid points into intensities. */

    unsigned char * cp;
    unsigned char * ap;

    if (UINT_MAX / n < n)
        pm_error("arithmetic overflow squaring %u", n);
    cp = malloc(n * n);
    if (cp == NULL)
        pm_error("Unable to allocate %u bytes for cp array", n);

    ap = cp;
    {
        unsigned int i;
        for (i = 0; i < n; i++) {
            unsigned int j;
            for (j = 0; j < n; j++)
                *ap++ = ((double)maxval * (Real(a, i, j) + 1.0)) / 2.0;
        }
    }
    return cp;
}



static void
createPlanetStuff(float *          const a,
                  unsigned int     const n,
                  double **        const uP,
                  double **        const u1P,
                  unsigned int **  const bxfP,
                  unsigned int **  const bxcP,
                  unsigned char ** const cpP,
                  vector *         const sunvecP,
                  unsigned int     const cols,
                  pixval           const maxval) {

    double *u, *u1;
    unsigned int *bxf, *bxc;
    unsigned char * cp;
    double shang, siang;
    bool flipped;

    /* Compute incident light direction vector. */

    shang = hourspec ? hourangle : Cast(0, 2 * M_PI);
    siang = inclspec ? inclangle : Cast(-M_PI * 0.12, M_PI * 0.12);

    sunvecP->x = sin(shang) * cos(siang);
    sunvecP->y = sin(siang);
    sunvecP->z = cos(shang) * cos(siang);  /* initial value */

    /* Allow only 25% of random pictures to be crescents */

    if (!hourspec && ((rand() % 100) < 75)) {
        flipped = (sunvecP->z < 0);
        sunvecP->z = fabs(sunvecP->z);
    } else
        flipped = FALSE;

    if (!clouds) {
        pm_message(
            "        -inclination %.0f -hour %d -ice %.2f -glaciers %.2f",
            (siang * (180.0 / M_PI)),
            (int) (((shang * (12.0 / M_PI)) + 12 +
                    (flipped ? 12 : 0)) + 0.5) % 24, icelevel, glaciers);
        pm_message("        -stars %d -saturation %d.",
                   starfraction, starcolor);
    }

    cp = makeCp(a, n, maxval);

    /* Fill the screen from the computed  intensity  grid  by  mapping
       screen  points onto the grid, then calculating each pixel value
       by bilinear interpolation from  the  surrounding  grid  points.
       (N.b. the pictures would undoubtedly look better when generated
       with small grids if  a  more  well-behaved  interpolation  were
       used.)
       
       Also compute the line-level interpolation parameters that
       caller will need every time around his inner loop.  
    */

    MALLOCARRAY(u,   cols);
    MALLOCARRAY(u1,  cols);
    MALLOCARRAY(bxf, cols);
    MALLOCARRAY(bxc, cols);
    
    if (u == NULL || u1 == NULL || bxf == NULL || bxc == NULL) 
        pm_error("Cannot allocate %d element interpolation tables.", cols);
    {
        unsigned int j;
        for (j = 0; j < cols; j++) {
            double const bx = (n - 1) * uprj(j, cols);
            
            bxf[j] = floor(bx);
            bxc[j] = bxf[j] + 1;
            u[j] = bx - bxf[j];
            u1[j] = 1 - u[j];
        }
    }
    *uP   = u;  *u1P  = u1;
    *bxfP = bxf; *bxcP = bxc;
    *cpP  = cp;
}



static void
generateStarrySkyRow(pixel *      const pixels, 
                     unsigned int const cols) {
/*----------------------------------------------------------------------------
  Generate a starry sky.  Note  that no FFT is performed;
  the output is  generated  directly  from  a  power  law
  mapping  of  a  pseudorandom sequence into intensities. 
-----------------------------------------------------------------------------*/
    unsigned int j;
    
    for (j = 0; j < cols; j++)
        etoile(pixels + j);
}



static void
generateCloudRow(pixel *         const pixels,
                 unsigned int    const cols,
                 double          const t,
                 double          const t1,
                 double *        const u,
                 double *        const u1,
                 unsigned char * const cp,
                 unsigned int *  const bxc,
                 unsigned int *  const bxf,
                 int             const byc,
                 int             const byf,
                 pixval          const maxval) {

    /* Render the FFT output as clouds. */

    unsigned int j;

    for (j = 0; j < cols; j++) {
        double r;
        pixval w;
        
        r = 0.0;  /* initial value */
        /* Note that where t1 and t are zero, the cp[] element
           referenced below does not exist.
        */
        if (t1 > 0.0)
            r += t1 * u1[j] * cp[byf + bxf[j]] +
                t1 * u[j]  * cp[byf + bxc[j]];
        if (t > 0.0)
            r += t * u1[j] * cp[byc + bxf[j]] +
                t * u[j]  * cp[byc + bxc[j]];
        
        w = (r > 127.0) ? (maxval * ((r - 127.0) / 128.0)) : 0;
        
        PPM_ASSIGN(*(pixels + j), w, w, maxval);
    }
}



static void
makeLand(int *  const irP,
         int *  const igP,
         int *  const ibP,
         double const r) {
/*----------------------------------------------------------------------------
  Land area.  Look up color based on elevation from precomputed
  color map table.
-----------------------------------------------------------------------------*/
    static unsigned char pgnd[][3] = {
        {206, 205, 0}, {208, 207, 0}, {211, 208, 0},
        {214, 208, 0}, {217, 208, 0}, {220, 208, 0},
        {222, 207, 0}, {225, 205, 0}, {227, 204, 0},
        {229, 202, 0}, {231, 199, 0}, {232, 197, 0},
        {233, 194, 0}, {234, 191, 0}, {234, 188, 0},
        {233, 185, 0}, {232, 183, 0}, {231, 180, 0},
        {229, 178, 0}, {227, 176, 0}, {225, 174, 0},
        {223, 172, 0}, {221, 170, 0}, {219, 168, 0},
        {216, 166, 0}, {214, 164, 0}, {212, 162, 0},
        {210, 161, 0}, {207, 159, 0}, {205, 157, 0},
        {203, 156, 0}, {200, 154, 0}, {198, 152, 0},
        {195, 151, 0}, {193, 149, 0}, {190, 148, 0},
        {188, 147, 0}, {185, 145, 0}, {183, 144, 0},
        {180, 143, 0}, {177, 141, 0}, {175, 140, 0},
        {172, 139, 0}, {169, 138, 0}, {167, 137, 0},
        {164, 136, 0}, {161, 135, 0}, {158, 134, 0},
        {156, 133, 0}, {153, 132, 0}, {150, 132, 0},
        {147, 131, 0}, {145, 130, 0}, {142, 130, 0},
        {139, 129, 0}, {136, 128, 0}, {133, 128, 0},
        {130, 127, 0}, {127, 127, 0}, {125, 127, 0},
        {122, 127, 0}, {119, 127, 0}, {116, 127, 0},
        {113, 127, 0}, {110, 128, 0}, {107, 128, 0},
        {104, 128, 0}, {102, 127, 0}, { 99, 126, 0},
        { 97, 124, 0}, { 95, 122, 0}, { 93, 120, 0},
        { 92, 117, 0}, { 92, 114, 0}, { 92, 111, 0},
        { 93, 108, 0}, { 94, 106, 0}, { 96, 104, 0},
        { 98, 102, 0}, {100, 100, 0}, {103,  99, 0},
        {106,  99, 0}, {109,  99, 0}, {111, 100, 0},
        {114, 101, 0}, {117, 102, 0}, {120, 103, 0},
        {123, 102, 0}, {125, 102, 0}, {128, 100, 0},
        {130,  98, 0}, {132,  96, 0}, {133,  94, 0},
        {134,  91, 0}, {134,  88, 0}, {134,  85, 0},
        {133,  82, 0}, {131,  80, 0}, {129,  78, 0}
    };

    unsigned int const ix = ((r - 128) * (ARRAY_SIZE(pgnd) - 1)) / 127;
    
    *irP = pgnd[ix][0];
    *igP = pgnd[ix][1];
    *ibP = pgnd[ix][2];
} 



static void
makeWater(int *  const irP,
          int *  const igP,
          int *  const ibP,
          double const r,
          pixval const maxval) {

    /* Water.  Generate clouds above water based on elevation.  */

    *irP = *igP = r > 64 ? (r - 64) * 4 : 0;
    *ibP = maxval;
}



static void
addIce(int *  const irP,
       int *  const igP,
       int *  const ibP,
       double const r,
       double const azimuth,
       double const icelevel,
       double const glaciers,
       pixval const maxval) {

    /* Generate polar ice caps. */
    
    double const icet = pow(fabs(sin(azimuth)), 1.0 / icelevel) - 0.5;
    double const ice = MAX(0.0, 
                           (icet + glaciers * MAX(-0.5, (r - 128) / 128.0)));
    if  (ice > 0.125) {
        *irP = maxval;
        *igP = maxval;
        *ibP = maxval;
    }
}



static void
limbDarken(int *          const irP,
           int *          const igP,
           int *          const ibP,
           unsigned int   const col,
           unsigned int   const row,
           unsigned int   const cols,
           unsigned int   const rows,
           vector         const sunvec,
           pixval         const maxval) {

    /* With Gcc 2.95.3 compiler optimization level > 1, I have seen this
       function confuse all the variables and ultimately generate a 
       completely black image.  Adding an extra reference to 'rows' seems
       to put things back in order, and the assert() below does that.
       Take it out, and the problem comes back!  04.02.21.
    */

    /* Apply limb darkening by cosine rule. */

    double const atthick  = 1.03;
    double const atSatFac = 1.0;
    double const athfac   = sqrt(atthick * atthick - 1.0);
        /* Atmosphere thickness as a percentage of planet's diameter */

    double const dy = 2 * ((double)rows/2 - row) / rows;
    double const dysq = dy * dy;
    /* Note: we are in fact normalizing this horizontal position by the
       vertical size of the picture.  And we know rows >= cols.
    */
    double const dx   = 2 * ((double)cols/2 - col) / rows;
    double const dxsq = dx * dx;

    double const ds = MIN(1.0, sqrt(dxsq + dysq));
    
    /* Calculate atmospheric absorption based on the thickness of
       atmosphere traversed by light on its way to the surface.  
    */
    double const dsq = ds * ds;
    double const dsat = atSatFac * ((sqrt(atthick * atthick - dsq) -
                                     sqrt(1.0 * 1.0 - dsq)) / athfac);

    assert(rows >= cols);  /* An input requirement */

    *irP = atSat(*irP, maxval/2, dsat);
    *igP = atSat(*igP, maxval/2, dsat);
    *ibP = atSat(*ibP, maxval,   dsat);
    {
        double const PlanetAmbient = 0.05;

        double const sqomdysq = sqrt(1.0 - dysq);
        double const svx = sunvec.x;
        double const svy = sunvec.y * dy;
        double const svz = sunvec.z * sqomdysq;
        double const di = 
            MAX(0, MIN(1.0, svx * dx + svy + svz * sqrt(1.0 - dxsq)));
        double const inx = PlanetAmbient * 1.0 + (1.0 - PlanetAmbient) * di;

        *irP *= inx;
        *igP *= inx;
        *ibP *= inx;
    }
}



static void
generatePlanetRow(pixel *         const pixelrow,
                  unsigned int    const row,
                  unsigned int    const rows,
                  unsigned int    const cols,
                  double          const t,
                  double          const t1,
                  double *        const u,
                  double *        const u1,
                  unsigned char * const cp,
                  unsigned int *  const bxc,
                  unsigned int *  const bxf,
                  int             const byc,
                  int             const byf,
                  vector          const sunvec,
                  pixval          const maxval) {

    unsigned int const StarClose = 2;

    double const azimuth    = asin(((((double) row) / (rows - 1)) * 2) - 1);
    unsigned int const lcos = (rows / 2) * fabs(cos(azimuth));

    unsigned int col;

    for (col = 0; col < cols; ++col)
        PPM_ASSIGN(pixelrow[col], 0, 0, 0);

    for (col = cols/2 - lcos; col <= cols/2 + lcos; ++col) {
        double r;
        int ir, ig, ib;

        r = 0.0;   /* initial value */
        
        /* Note that where t1 and t are zero, the cp[] element
           referenced below does not exist.  
        */
        if (t1 > 0.0)
            r += t1 * u1[col] * cp[byf + bxf[col]] +
                t1 * u[col]  * cp[byf + bxc[col]];
        if (t > 0.0)
            r += t * u1[col] * cp[byc + bxf[col]] +
                t * u[col]  * cp[byc + bxc[col]];

        if (r >= 128) 
            makeLand(&ir, &ig, &ib, r);
        else 
            makeWater(&ir, &ig, &ib, r, maxval);

        addIce(&ir, &ig, &ib, r, azimuth, icelevel, glaciers, maxval);

        limbDarken(&ir, &ig, &ib, col, row, cols, rows, sunvec, maxval);

        PPM_ASSIGN(pixelrow[col], ir, ig, ib);
    }

    /* Left stars */

    for (col = 0; (int)col < (int)(cols/2 - (lcos + StarClose)); ++col)
        etoile(&pixelrow[col]);

    /* Right stars */

    for (col = cols/2 + (lcos + StarClose); col < cols; ++col)
        etoile(&pixelrow[col]);
}



static void 
genplanet(bool         const stars,
          bool         const clouds,
          float *      const a, 
          unsigned int const cols,
          unsigned int const rows,
          unsigned int const n,
          unsigned int const rseed) {
/*----------------------------------------------------------------------------
  Generate planet from elevation array.

  If 'stars' is true, a is undefined.  Otherwise, it is defined.
-----------------------------------------------------------------------------*/
    pixval const maxval = PPM_MAXMAXVAL;

    unsigned char *cp;
    double *u, *u1;
    unsigned int *bxf, *bxc;

    pixel *pixelrow;
    unsigned int row;

    vector sunvec;

    ppm_writeppminit(stdout, cols, rows, maxval, FALSE);

    if (stars) {
        pm_message("night: -seed %d -stars %d -saturation %d.",
                   rseed, starfraction, starcolor);
        cp = NULL; 
        u = NULL; u1 = NULL;
        bxf = NULL; bxc = NULL;
    } else {
        pm_message("%s: -seed %d -dimension %.2f -power %.2f -mesh %d",
                   clouds ? "clouds" : "planet",
                   rseed, fracdim, powscale, meshsize);
        createPlanetStuff(a, n, &u, &u1, &bxf, &bxc, &cp, &sunvec, 
                          cols, maxval);
    }

    pixelrow = ppm_allocrow(cols);
    for (row = 0; row < rows; ++row) {
        if (stars)
            generateStarrySkyRow(pixelrow, cols);
        else {
            double const by = (n - 1) * uprj(row, rows);
            int    const byf = floor(by) * n;
            int    const byc = byf + n;
            double const t = by - floor(by);
            double const t1 = 1 - t;

            if (clouds)
                generateCloudRow(pixelrow, cols,
                                 t, t1, u, u1, cp, bxc, bxf, byc, byf,
                                 maxval);
            else 
                generatePlanetRow(pixelrow, row, rows, cols,
                                  t, t1, u, u1, cp, bxc, bxf, byc, byf,
                                  sunvec,
                                  maxval);
        }
        ppm_writeppmrow(stdout, pixelrow, cols, maxval, FALSE);
    }
    pm_close(stdout);

    ppm_freerow(pixelrow);
    if (cp)  free(cp);
    if (u)   free(u);
    if (u1)  free(u1);
    if (bxf) free(bxf);
    if (bxc) free(bxc);
}



static void
applyPowerLawScaling(float * const a,
                     int     const meshsize,
                     double  const powscale) {

    /* Apply power law scaling if non-unity scale is requested. */
    
    if (powscale != 1.0) {
        unsigned int i;
        for (i = 0; i < meshsize; i++) {
            unsigned int j;
            for (j = 0; j < meshsize; j++) {
                double const r = Real(a, i, j);
                if (r > 0)
                    Real(a, i, j) = pow(r, powscale);
            }
        }
    }
}



static void
computeExtremeReal(const float * const a,
                   int           const meshsize,
                   double *      const rminP,
                   double *      const rmaxP) {
    
    /* Compute extrema for autoscaling. */

    double rmin, rmax;
    unsigned int i;

    rmin = hugeVal;
    rmax = -hugeVal;

    for (i = 0; i < meshsize; i++) {
        unsigned int j;
        for (j = 0; j < meshsize; j++) {
            double r = Real(a, i, j);
            
            rmin = MIN(rmin, r);
            rmax = MAX(rmax, r);
        }
    }
    *rminP = rmin;
    *rmaxP = rmax;
}



static void
replaceWithSpread(float * const a,
                  int     const meshsize) {
/*----------------------------------------------------------------------------
  Replace the real part of each element of the 'a' array with a
  measure of how far the real is from the middle; sort of a standard
  deviation.
-----------------------------------------------------------------------------*/
    double rmin, rmax;
    double rmean, rrange;
    unsigned int i;

    computeExtremeReal(a, meshsize, &rmin, &rmax);

    rmean = (rmin + rmax) / 2;
    rrange = (rmax - rmin) / 2;

    for (i = 0; i < meshsize; i++) {
        unsigned int j;
        for (j = 0; j < meshsize; j++) {
            Real(a, i, j) = (Real(a, i, j) - rmean) / rrange;
        }
    }
}



static bool
planet(unsigned int const cols,
       unsigned int const rows,
       bool         const stars,
       bool         const clouds) {
/*----------------------------------------------------------------------------
   Make a planet.
-----------------------------------------------------------------------------*/
    float * a;
    bool error;
    unsigned int rseed;        /* Current random seed */
    
    if (seedspec)
        rseed = seedarg;
    else 
        rseed = initseed();
    
    initgauss(rseed);
    
    if (stars) {
        a = NULL;
        error = FALSE;
    } else {
        spectralsynth(&a, meshsize, 3.0 - fracdim);
        if (a == NULL) {
            error = TRUE;
        } else {
            applyPowerLawScaling(a, meshsize, powscale);
                
            replaceWithSpread(a, meshsize);

            error = FALSE;
        }
    }
    if (!error)
        genplanet(stars, clouds, a, cols, rows, meshsize, rseed);

    if (a != NULL)
        free(a);

    return !error;
}




int 
main(int argc, char ** argv) {

    bool success;
    int i;
    const char * const usage = "\n\
[-width|-xsize <x>] [-height|-ysize <y>] [-mesh <n>]\n\
[-clouds] [-dimension <f>] [-power <f>] [-seed <n>]\n\
[-hour <f>] [-inclination|-tilt <f>] [-ice <f>] [-glaciers <f>]\n\
[-night] [-stars <n>] [-saturation <n>]";
    bool dimspec = FALSE, meshspec = FALSE, powerspec = FALSE,
        widspec = FALSE, hgtspec = FALSE, icespec = FALSE,
        glacspec = FALSE, starspec = FALSE, starcspec = FALSE;

    int cols, rows;     /* Dimensions of our output image */

    ppm_init(&argc, argv);
    i = 1;
    
    while ((i < argc) && (argv[i][0] == '-') && (argv[i][1] != '\0')) {

        if (pm_keymatch(argv[i], "-clouds", 2)) {
            clouds = TRUE;
        } else if (pm_keymatch(argv[i], "-night", 2)) {
            stars = TRUE;
        } else if (pm_keymatch(argv[i], "-dimension", 2)) {
            if (dimspec) {
                pm_error("already specified a dimension");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &fracdim)  != 1))
                pm_usage(usage);
            if (fracdim <= 0.0) {
                pm_error("fractal dimension must be greater than 0");
            }
            dimspec = TRUE;
        } else if (pm_keymatch(argv[i], "-hour", 3)) {
            if (hourspec) {
                pm_error("already specified an hour");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &hourangle) != 1))
                pm_usage(usage);
            hourangle = (M_PI / 12.0) * (hourangle + 12.0);
            hourspec = TRUE;
        } else if (pm_keymatch(argv[i], "-inclination", 3) ||
                   pm_keymatch(argv[i], "-tilt", 2)) {
            if (inclspec) {
                pm_error("already specified an inclination/tilt");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &inclangle) != 1))
                pm_usage(usage);
            inclangle = (M_PI / 180.0) * inclangle;
            inclspec = TRUE;
        } else if (pm_keymatch(argv[i], "-mesh", 2)) {
            unsigned int j;

            if (meshspec) {
                pm_error("already specified a mesh size");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%d", &meshsize) != 1))
                pm_usage(usage);

            /* Force FFT mesh to the next larger power of 2. */

            for (j = meshsize; (j & 1) == 0; j >>= 1) ;

            if (j != 1) {
                for (j = 2; j < meshsize; j <<= 1) ;
                meshsize = j;
            }
            meshspec = TRUE;
        } else if (pm_keymatch(argv[i], "-power", 2)) {
            if (powerspec) {
                pm_error("already specified a power factor");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &powscale) != 1))
                pm_usage(usage);
            if (powscale <= 0.0) {
                pm_error("power factor must be greater than 0");
            }
            powerspec = TRUE;
        } else if (pm_keymatch(argv[i], "-ice", 3)) {
            if (icespec) {
                pm_error("already specified ice cap level");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &icelevel) != 1))
                pm_usage(usage);
            if (icelevel <= 0.0) {
                pm_error("ice cap level must be greater than 0");
            }
            icespec = TRUE;
        } else if (pm_keymatch(argv[i], "-glaciers", 2)) {
            if (glacspec) {
                pm_error("already specified glacier level");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%lf", &glaciers) != 1))
                pm_usage(usage);
            if (glaciers <= 0.0) {
                pm_error("glacier level must be greater than 0");
            }
            glacspec = TRUE;
        } else if (pm_keymatch(argv[i], "-stars", 3)) {
            if (starspec) {
                pm_error("already specified a star fraction");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%d", &starfraction) != 1))
                pm_usage(usage);
            starspec = TRUE;
        } else if (pm_keymatch(argv[i], "-saturation", 3)) {
            if (starcspec) {
                pm_error("already specified a star color saturation");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%d", &starcolor) != 1))
                pm_usage(usage);
            starcspec = TRUE;
        } else if (pm_keymatch(argv[i], "-seed", 3)) {
            if (seedspec) {
                pm_error("already specified a random seed");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%u", &seedarg) != 1))
                pm_usage(usage);
            seedspec = TRUE;
        } else if (pm_keymatch(argv[i], "-xsize", 2) ||
                   pm_keymatch(argv[i], "-width", 2)) {
            if (widspec) {
                pm_error("already specified a width/xsize");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%d", &screenxsize) != 1))
                pm_usage(usage);
            widspec = TRUE;
        } else if (pm_keymatch(argv[i], "-ysize", 2) ||
                   pm_keymatch(argv[i], "-height", 3)) {
            if (hgtspec) {
                pm_error("already specified a height/ysize");
            }
            i++;
            if ((i == argc) || (sscanf(argv[i], "%d", &screenysize) != 1))
                pm_usage(usage);
            hgtspec = TRUE;
        } else {
            pm_usage(usage);
        }
        i++;
    }


    /* Set defaults when explicit specifications were not given.

       The  default  fractal  dimension  and  power  scale depend upon
       whether we are generating a planet or clouds. 
    */
    
    if (!dimspec) {
        fracdim = clouds ? 2.15 : 2.4;
    }
    if (!powerspec) {
        powscale = clouds ? 0.75 : 1.2;
    }
    if (!icespec) {
        icelevel = 0.4;
    }
    if (!glacspec) {
        glaciers = 0.75;
    }
    if (!starspec) {
        starfraction = 100;
    }
    if (!starcspec) {
        starcolor = 125;
    }

    /* Force  screen to be at least  as wide as it is high.  Long,
       skinny screens  cause  crashes  because  picture  width  is
       calculated based on height.  
    */

    cols = (MAX(screenysize, screenxsize) + 1) & (~1);
    rows = screenysize;

    success = planet(cols, rows, stars, clouds);

    exit(success ? 0 : 1);
}
