1 
2 #include <../src/sys/classes/draw/utils/axisimpl.h>  /*I   "petscdraw.h"  I*/
3 
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  */
PetscADefLabel(PetscReal val,PetscReal sep,char ** p)9 PetscErrorCode PetscADefLabel(PetscReal val,PetscReal sep,char **p)
10 {
11   static char    buf[40];
12   PetscErrorCode ierr;
13 
14   PetscFunctionBegin;
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     ierr = PetscStripZerosPlus(buf);CHKERRQ(ierr);
21     ierr = PetscStripe0(buf);CHKERRQ(ierr);
22     ierr = PetscStripInitialZero(buf);CHKERRQ(ierr);
23     ierr = PetscStripAllZeros(buf);CHKERRQ(ierr);
24     ierr = PetscStripTrailingZeros(buf);CHKERRQ(ierr);
25   }
26   *p = buf;
27   PetscFunctionReturn(0);
28 }
29 
30 /* Finds "nice" locations for the ticks */
PetscADefTicks(PetscReal low,PetscReal high,int num,int * ntick,PetscReal * tickloc,int maxtick)31 PetscErrorCode PetscADefTicks(PetscReal low,PetscReal high,int num,int *ntick,PetscReal *tickloc,int maxtick)
32 {
33   PetscErrorCode ierr;
34   int            i,power;
35   PetscReal      x = 0.0,base=0.0,eps;
36 
37   PetscFunctionBegin;
38   ierr = PetscAGetBase(low,high,num,&base,&power);CHKERRQ(ierr);
39   ierr = PetscAGetNice(low,base,-1,&x);CHKERRQ(ierr);
40 
41   /* Values are of the form j * base */
42   /* Find the starting value */
43   if (x < low) x += base;
44 
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);
51 
52   if (i < 2 && num < 10) {
53     ierr = PetscADefTicks(low,high,num+1,ntick,tickloc,maxtick);CHKERRQ(ierr);
54   }
55   PetscFunctionReturn(0);
56 }
57 
58 #define EPS 1.e-6
59 
PetscExp10(PetscReal d,PetscReal * result)60 PetscErrorCode PetscExp10(PetscReal d,PetscReal *result)
61 {
62   PetscFunctionBegin;
63   *result = PetscPowReal((PetscReal)10.0,d);
64   PetscFunctionReturn(0);
65 }
66 
PetscMod(PetscReal x,PetscReal y,PetscReal * result)67 PetscErrorCode PetscMod(PetscReal x,PetscReal y,PetscReal *result)
68 {
69   int i;
70 
71   PetscFunctionBegin;
72   if (y == 1) {
73     *result = 0.0;
74     PetscFunctionReturn(0);
75   }
76   i = ((int)x) / ((int)y);
77   x = x - i * y;
78   while (x > y) x -= y;
79   *result = x;
80   PetscFunctionReturn(0);
81 }
82 
PetscCopysign(PetscReal a,PetscReal b,PetscReal * result)83 PetscErrorCode PetscCopysign(PetscReal a,PetscReal b,PetscReal *result)
84 {
85   PetscFunctionBegin;
86   if (b >= 0) *result = a;
87   else        *result = -a;
88   PetscFunctionReturn(0);
89 }
90 
91 /*
92     Given a value "in" and a "base", return a nice value.
93     based on "sign", extend up (+1) or down (-1)
94  */
PetscAGetNice(PetscReal in,PetscReal base,int sign,PetscReal * result)95 PetscErrorCode PetscAGetNice(PetscReal in,PetscReal base,int sign,PetscReal *result)
96 {
97   PetscReal      etmp,s,s2,m;
98   PetscErrorCode ierr;
99 
100   PetscFunctionBegin;
101   ierr    = PetscCopysign (0.5,(double)sign,&s);CHKERRQ(ierr);
102   etmp    = in / base + 0.5 + s;
103   ierr    = PetscCopysign (0.5,etmp,&s);CHKERRQ(ierr);
104   ierr    = PetscCopysign (EPS * etmp,(double)sign,&s2);CHKERRQ(ierr);
105   etmp    = etmp - 0.5 + s - s2;
106   ierr    = PetscMod(etmp,1.0,&m);CHKERRQ(ierr);
107   etmp    = base * (etmp -  m);
108   *result = etmp;
109   PetscFunctionReturn(0);
110 }
111 
PetscAGetBase(PetscReal vmin,PetscReal vmax,int num,PetscReal * Base,int * power)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;
118 
119   PetscFunctionBegin;
120   /* labels of the form n * BASE */
121   /* get an approximate value for BASE */
122   base = (vmax - vmin) / (double)(num + 1);
123 
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   ierr   = PetscExp10((double)-*power,&e10);CHKERRQ(ierr);
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       ierr = PetscExp10((double)*power,&e10);CHKERRQ(ierr);
139       base = base_try[i-1] * e10;
140       if (i == 1) *power = *power + 1;
141       break;
142     }
143   }
144   *Base = base;
145   PetscFunctionReturn(0);
146 }
147