Actual source code: axis.c

      2: #include <../src/sys/classes/draw/utils/axisimpl.h>

      4: /*
      5:    val is the label value.  sep is the separation to the next (or previous)
      6:    label; this is useful in determining how many significant figures to
      7:    keep.
      8:  */
      9: PetscErrorCode PetscADefLabel(PetscReal val,PetscReal sep,char **p)
     10: {
     11:   static char    buf[40];

     15:   /* Find the string */
     16:   if (PetscAbsReal(val)/sep <  1.e-4) {
     17:     buf[0] = '0'; buf[1] = 0;
     18:   } else {
     19:     sprintf(buf,"%0.1e",(double)val);
     20:     PetscStripZerosPlus(buf);
     21:     PetscStripe0(buf);
     22:     PetscStripInitialZero(buf);
     23:     PetscStripAllZeros(buf);
     24:     PetscStripTrailingZeros(buf);
     25:   }
     26:   *p = buf;
     27:   return(0);
     28: }

     30: /* Finds "nice" locations for the ticks */
     31: PetscErrorCode PetscADefTicks(PetscReal low,PetscReal high,int num,int *ntick,PetscReal *tickloc,int maxtick)
     32: {
     34:   int            i,power;
     35:   PetscReal      x = 0.0,base=0.0,eps;

     38:   PetscAGetBase(low,high,num,&base,&power);
     39:   PetscAGetNice(low,base,-1,&x);

     41:   /* Values are of the form j * base */
     42:   /* Find the starting value */
     43:   if (x < low) x += base;

     45:   i = 0; eps = base/10;
     46:   while (i < maxtick && x <= high+eps) {
     47:     tickloc[i++] = x; x += base;
     48:   }
     49:   *ntick = i;
     50:   tickloc[i-1] = PetscMin(tickloc[i-1],high);

     52:   if (i < 2 && num < 10) {
     53:     PetscADefTicks(low,high,num+1,ntick,tickloc,maxtick);
     54:   }
     55:   return(0);
     56: }

     58: #define EPS 1.e-6

     60: PetscErrorCode PetscExp10(PetscReal d,PetscReal *result)
     61: {
     63:   *result = PetscPowReal((PetscReal)10.0,d);
     64:   return(0);
     65: }

     67: PetscErrorCode PetscMod(PetscReal x,PetscReal y,PetscReal *result)
     68: {
     69:   int i;

     72:   if (y == 1) {
     73:     *result = 0.0;
     74:     return(0);
     75:   }
     76:   i = ((int)x) / ((int)y);
     77:   x = x - i * y;
     78:   while (x > y) x -= y;
     79:   *result = x;
     80:   return(0);
     81: }

     83: PetscErrorCode PetscCopysign(PetscReal a,PetscReal b,PetscReal *result)
     84: {
     86:   if (b >= 0) *result = a;
     87:   else        *result = -a;
     88:   return(0);
     89: }

     91: /*
     92:     Given a value "in" and a "base", return a nice value.
     93:     based on "sign", extend up (+1) or down (-1)
     94:  */
     95: PetscErrorCode PetscAGetNice(PetscReal in,PetscReal base,int sign,PetscReal *result)
     96: {
     97:   PetscReal      etmp,s,s2,m;

    101:   PetscCopysign (0.5,(double)sign,&s);
    102:   etmp    = in / base + 0.5 + s;
    103:   PetscCopysign (0.5,etmp,&s);
    104:   PetscCopysign (EPS * etmp,(double)sign,&s2);
    105:   etmp    = etmp - 0.5 + s - s2;
    106:   PetscMod(etmp,1.0,&m);
    107:   etmp    = base * (etmp -  m);
    108:   *result = etmp;
    109:   return(0);
    110: }

    112: PetscErrorCode PetscAGetBase(PetscReal vmin,PetscReal vmax,int num,PetscReal *Base,int *power)
    113: {
    114:   PetscReal        base,ftemp,e10;
    115:   static PetscReal base_try[5] = {10.0,5.0,2.0,1.0,0.5};
    116:   PetscErrorCode   ierr;
    117:   int              i;

    120:   /* labels of the form n * BASE */
    121:   /* get an approximate value for BASE */
    122:   base = (vmax - vmin) / (double)(num + 1);

    124:   /* make it of form   m x 10^power,  m in [1.0, 10) */
    125:   if (base <= 0.0) {
    126:     base = PetscAbsReal(vmin);
    127:     if (base < 1.0) base = 1.0;
    128:   }
    129:   ftemp = PetscLog10Real((1.0 + EPS) * base);
    130:   if (ftemp < 0.0) ftemp -= 1.0;
    131:   *power = (int)ftemp;
    132:   PetscExp10((double)-*power,&e10);
    133:   base   = base * e10;
    134:   if (base < 1.0) base = 1.0;
    135:   /* now reduce it to one of 1, 2, or 5 */
    136:   for (i=1; i<5; i++) {
    137:     if (base >= base_try[i]) {
    138:       PetscExp10((double)*power,&e10);
    139:       base = base_try[i-1] * e10;
    140:       if (i == 1) *power = *power + 1;
    141:       break;
    142:     }
    143:   }
    144:   *Base = base;
    145:   return(0);
    146: }