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/*
  Test the library maths functions using trusted precomputed test
  vectors.
 
  These vectors were originally generated on a sun3 with a 68881 using
  80 bit precision, but ...
 
  Each function is called with a variety of interesting arguments.
  Note that many of the polynomials we use behave badly when the
  domain is stressed, so the numbers in the vectors depend on what is
  useful to test - eg sin(1e30) is pointless - the arg has to be
  reduced modulo pi, and after that there's no bits of significance
  left to evaluate with - any number would be just as precise as any
  other.
 
 
*/
 
#include "test.h"
#include <math.h>
#include <ieeefp.h>
#include <float.h>
#include <math.h>
#include <errno.h>
#include <stdio.h>
 
int inacc;
 
int merror;
double mretval = 64;
int traperror = 1;
char *mname;
 
int verbose;
 
/* To test exceptions - we trap them all and return a known value */
int
_DEFUN(matherr,(e),
       struct exception *e)
{
  if (traperror)
  {
    merror = e->type + 12;
    mname = e->name;
    e->retval = mretval;
    errno = merror + 24;
    return 1;
  }
  return 0;
}
 
 
void _DEFUN(translate_to,(file,r),
            FILE *file _AND
            double r)
{
  __ieee_double_shape_type bits;
  bits.value = r;
  fprintf(file, "0x%08x, 0x%08x", bits.parts.msw, bits.parts.lsw);
}
 
int
_DEFUN(ffcheck,( is, p, name, serrno, merror),
       double is _AND
       one_line_type *p _AND
       char *name _AND
       int serrno _AND
       int merror)
{
  /* Make sure the answer isn't to far wrong from the correct value */
  __ieee_double_shape_type correct, isbits;
  int mag;
  isbits.value = is;
 
  correct.parts.msw = p->qs[0].msw;
  correct.parts.lsw = p->qs[0].lsw;
 
  mag = mag_of_error(correct.value, is);
 
  if (mag < p->error_bit)
  {
    inacc ++;
 
    printf("%s:%d, inaccurate answer: bit %d (%08x%08x %08x%08x) (%g %g)\n",
           name,  p->line, mag,
           correct.parts.msw,
           correct.parts.lsw,
           isbits.parts.msw,
           isbits.parts.lsw,
           correct.value, is);
  }
 
#if 0
  if (p->qs[0].merror != merror)
  {
    printf("testing %s_vec.c:%d, matherr wrong: %d %d\n",
           name, p->line, merror, p->qs[0].merror);
  }
 
  if (p->qs[0].errno_val != errno)
  {
    printf("testing %s_vec.c:%d, errno wrong: %d %d\n",
           name, p->line, errno, p->qs[0].errno_val);
 
  }
#endif
  return mag;
}
 
double
_DEFUN(thedouble, (msw, lsw),
       long msw _AND
       long lsw)
{
  __ieee_double_shape_type x;
 
  x.parts.msw = msw;
  x.parts.lsw = lsw;
  return x.value;
}
 
int calc;
int reduce;
 
 
_DEFUN(frontline,(f, mag, p, result, merror, errno, args, name),
       FILE *f _AND
       int mag _AND
       one_line_type *p _AND
       double result _AND
       int merror _AND
       int errno _AND
       char *args _AND
       char *name)
{
  if (reduce && p->error_bit < mag)
  {
    fprintf(f, "{%2d,", p->error_bit);
  }
  else
  {
    fprintf(f, "{%2d,",mag);
  }
 
 
  fprintf(f,"%2d,%3d,", merror,errno);
  fprintf(f, "__LINE__, ");
 
  if (calc)
  {
    translate_to(f, result);
  }
  else
  {
    translate_to(f, thedouble(p->qs[0].msw, p->qs[0].lsw));
  }
 
  fprintf(f, ", ");
 
  fprintf(f,"0x%08x, 0x%08x", p->qs[1].msw, p->qs[1].lsw);
 
 
  if (args[2])
  {
    fprintf(f, ", ");
    fprintf(f,"0x%08x, 0x%08x", p->qs[2].msw, p->qs[2].lsw);
  }
 
  fprintf(f,"}, /* %g=f(%g",result,
          thedouble(p->qs[1].msw, p->qs[1].lsw));
 
  if (args[2])
  {
    fprintf(f,", %g", thedouble(p->qs[2].msw,p->qs[2].lsw));
  }
  fprintf(f, ")*/\n");
}
 
_DEFUN(finish,(f, vector,  result , p, args, name),
       FILE *f _AND
       int vector _AND
       double result _AND
       one_line_type *p _AND
       char *args _AND
       char *name)
{
  int mag;
 
  mag = ffcheck(result, p,name,  merror, errno);
  if (vector)
  {
    frontline(f, mag, p, result, merror, errno, args , name);
  }
}
int redo;
 
_DEFUN(run_vector_1,(vector, p, func, name, args),
       int vector _AND
       one_line_type *p _AND
       char *func _AND
       char *name _AND
       char *args)
{
  FILE *f;
  int mag;
  double result;
 
  if (vector)
  {
 
    VECOPEN(name, f);
 
    if (redo)
    {
      double k;
 
      for (k = -.2; k < .2; k+= 0.00132)
      {
 
        fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",
                k,k+4);
 
      }
 
      for (k = -1.2; k < 1.2; k+= 0.01)
      {
 
        fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",
                k,k+4);
 
      }
      for (k = -M_PI *2; k < M_PI *2; k+= M_PI/2)
      {
 
        fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",
                k,k+4);
 
      }
 
      for (k = -30; k < 30; k+= 1.7)
      {
 
        fprintf(f,"{2,2, 1,1, 0,0, 0x%08x,0x%08x, 0x%08x, 0x%08x},\n",
                k,k+4);
 
      }
      VECCLOSE(f, name, args);
      return;
    }
  }
 
  newfunc(name);
  while (p->line)
  {
    double arg1 = thedouble(p->qs[1].msw, p->qs[1].lsw);
    double arg2 = thedouble(p->qs[2].msw, p->qs[2].lsw);
 
    double r;
    double rf;
 
    errno = 0;
    merror = 0;
    mname = 0;
 
 
    line(p->line);
 
    merror = 0;
    errno = 123;
 
    if (strcmp(args,"dd")==0)
    {
      typedef double _EXFUN((*pdblfunc),(double));
 
      /* Double function returning a double */
 
      result = ((pdblfunc)(func))(arg1);
 
      finish(f,vector, result, p, args, name);
    }
    else  if (strcmp(args,"ff")==0)
    {
      float arga;
      double a;
 
      typedef float _EXFUN((*pdblfunc),(float));
 
      /* Double function returning a double */
 
      if (arg1 < FLT_MAX )
      {
        arga = arg1;
        result = ((pdblfunc)(func))(arga);
        finish(f, vector, result, p,args, name);
      }
    }
    else if (strcmp(args,"ddd")==0)
     {
       typedef double _EXFUN((*pdblfunc),(double,double));
 
       result = ((pdblfunc)(func))(arg1,arg2);
       finish(f, vector, result, p,args, name);
     }
     else  if (strcmp(args,"fff")==0)
     {
       double a,b;
 
       float arga;
       float argb;
 
       typedef float _EXFUN((*pdblfunc),(float,float));
 
 
       if (arg1 < FLT_MAX && arg2 < FLT_MAX)
       {
         arga = arg1;
         argb = arg2;
         result = ((pdblfunc)(func))(arga, argb);
         finish(f, vector, result, p,args, name);
       }
     }
     else if (strcmp(args,"did")==0)
     {
       typedef double _EXFUN((*pdblfunc),(int,double));
 
       result = ((pdblfunc)(func))((int)arg1,arg2);
       finish(f, vector, result, p,args, name);
     }
     else  if (strcmp(args,"fif")==0)
     {
       double a,b;
 
       float arga;
       float argb;
 
       typedef float _EXFUN((*pdblfunc),(int,float));
 
 
       if (arg1 < FLT_MAX && arg2 < FLT_MAX)
       {
         arga = arg1;
         argb = arg2;
         result = ((pdblfunc)(func))((int)arga, argb);
         finish(f, vector, result, p,args, name);
       }
     }
 
    p++;
  }
  if (vector)
  {
    VECCLOSE(f, name, args);
  }
}
 
void
_DEFUN_VOID(test_math)
{
  test_acos(0);
  test_acosf(0);
  test_acosh(0);
  test_acoshf(0);
  test_asin(0);
  test_asinf(0);
  test_asinh(0);
  test_asinhf(0);
  test_atan(0);
  test_atan2(0);
  test_atan2f(0);
  test_atanf(0);
  test_atanh(0);
  test_atanhf(0);
  test_ceil(0);
  test_ceilf(0);
  test_cos(0);
  test_cosf(0);
  test_cosh(0);
  test_coshf(0);
  test_erf(0);
  test_erfc(0);
  test_erfcf(0);
  test_erff(0);
  test_exp(0);
  test_expf(0);
  test_fabs(0);
  test_fabsf(0);
  test_floor(0);
  test_floorf(0);
  test_fmod(0);
  test_fmodf(0);
  test_gamma(0);
  test_gammaf(0);
  test_hypot(0);
  test_hypotf(0);
  test_j0(0);
  test_j0f(0);
  test_j1(0);
  test_j1f(0);
  test_jn(0);
  test_jnf(0);
  test_log(0);
  test_log10(0);
  test_log10f(0);
  test_log1p(0);
  test_log1pf(0);
  test_log2(0);
  test_log2f(0);
  test_logf(0);
  test_sin(0);
  test_sinf(0);
  test_sinh(0);
  test_sinhf(0);
  test_sqrt(0);
  test_sqrtf(0);
  test_tan(0);
  test_tanf(0);
  test_tanh(0);
  test_tanhf(0);
  test_y0(0);
  test_y0f(0);
  test_y1(0);
  test_y1f(0);
  test_y1f(0);
  test_ynf(0);
}
 
/* These have to be played with to get to compile on machines which
   don't have the fancy <foo>f entry points
*/
 
#if 0
float _DEFUN(cosf,(a), float a) { return cos((double)a); }
float _DEFUN(sinf,(a), float  a) { return sin((double)a); }
float _DEFUN(log1pf,(a), float a) { return log1p((double)a); }
float _DEFUN(tanf,(a), float a) { return tan((double)a); }
float _DEFUN(ceilf,(a), float a) { return ceil(a); }
float _DEFUN(floorf,(a), float a) { return floor(a); }
#endif
 
/*ndef HAVE_FLOAT*/
#if 0
 
float fmodf(a,b) float a,b; { return fmod(a,b); }
float hypotf(a,b) float a,b; { return hypot(a,b); }
 
float acosf(a) float a; { return acos(a); }
float acoshf(a) float a; { return acosh(a); }
float asinf(a) float a; { return asin(a); }
float asinhf(a) float a; { return asinh(a); }
float atanf(a) float a; { return atan(a); }
float atanhf(a) float a; { return atanh(a); }
 
float coshf(a) float a; { return cosh(a); }
float erff(a) float a; { return erf(a); }
float erfcf(a) float a; { return erfc(a); }
float expf(a) float a; { return exp(a); }
float fabsf(a) float a; { return fabs(a); }
 
float gammaf(a) float a; { return gamma(a); }
float j0f(a) float a; { return j0(a); }
float j1f(a) float a; { return j1(a); }
float log10f(a) float a; { return log10(a); }
 
float logf(a) float a; { return log(a); }
 
float sinhf(a) float a; { return sinh(a); }
float sqrtf(a) float a; { return sqrt(a); }
 
float tanhf(a) float a; { return tanh(a); }
float y0f(a) float a; { return y0(a); }
float y1f(a) float a; { return y1(a); }
#endif

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[/] [openrisc/] [trunk/] [gnu-old/] [newlib-1.17.0/] [newlib/] [libm/] [test/] [math.c] - Blame information for rev 816

Line No.	Rev	Author	Line
1	148	jeremybenn	`/*`
2			`Test the library maths functions using trusted precomputed test`
3			`vectors.`
4
5			`These vectors were originally generated on a sun3 with a 68881 using`
6			`80 bit precision, but ...`
7
8			`Each function is called with a variety of interesting arguments.`
9			`Note that many of the polynomials we use behave badly when the`
10			`domain is stressed, so the numbers in the vectors depend on what is`
11			`useful to test - eg sin(1e30) is pointless - the arg has to be`
12			`reduced modulo pi, and after that there's no bits of significance`
13			`left to evaluate with - any number would be just as precise as any`
14			`other.`
15
16
17			`*/`
18
19			`#include "test.h"`
20			`#include <math.h>`
21			`#include <ieeefp.h>`
22			`#include <float.h>`
23			`#include <math.h>`
24			`#include <errno.h>`
25			`#include <stdio.h>`
26
27			`int inacc;`
28
29			`int merror;`
30			`double mretval = 64;`
31			`int traperror = 1;`
32			`char *mname;`
33
34			`int verbose;`
35
36			`/* To test exceptions - we trap them all and return a known value */`
37			`int`
38			`_DEFUN(matherr,(e),`
39			`struct exception *e)`
40			`{`
41			`if (traperror)`
42			`{`
43			`merror = e->type + 12;`
44			`mname = e->name;`
45			`e->retval = mretval;`
46			`errno = merror + 24;`
47			`return 1;`
48			`}`
49			`return 0;`
50			`}`
51
52
53			`void _DEFUN(translate_to,(file,r),`
54			`FILE *file _AND`
55			`double r)`
56			`{`
57			`__ieee_double_shape_type bits;`
58			`bits.value = r;`
59			`fprintf(file, "0x%08x, 0x%08x", bits.parts.msw, bits.parts.lsw);`
60			`}`
61
62			`int`
63			`_DEFUN(ffcheck,( is, p, name, serrno, merror),`
64			`double is _AND`
65			`one_line_type *p _AND`
66			`char *name _AND`
67			`int serrno _AND`
68			`int merror)`
69			`{`
70			`/* Make sure the answer isn't to far wrong from the correct value */`
71			`__ieee_double_shape_type correct, isbits;`
72			`int mag;`
73			`isbits.value = is;`
74
75			`correct.parts.msw = p->qs[0].msw;`
76			`correct.parts.lsw = p->qs[0].lsw;`
77
78			`mag = mag_of_error(correct.value, is);`
79
80			`if (mag < p->error_bit)`
81			`{`
82			`inacc ++;`
83
84			`printf("%s:%d, inaccurate answer: bit %d (%08x%08x %08x%08x) (%g %g)\n",`
85			`name, p->line, mag,`
86			`correct.parts.msw,`
87			`correct.parts.lsw,`
88			`isbits.parts.msw,`
89			`isbits.parts.lsw,`
90			`correct.value, is);`
91			`}`
92
93			`#if 0`
94			`if (p->qs[0].merror != merror)`
95			`{`
96			`printf("testing %s_vec.c:%d, matherr wrong: %d %d\n",`
97			`name, p->line, merror, p->qs[0].merror);`
98			`}`
99
100			`if (p->qs[0].errno_val != errno)`
101			`{`
102			`printf("testing %s_vec.c:%d, errno wrong: %d %d\n",`
103			`name, p->line, errno, p->qs[0].errno_val);`
104
105			`}`
106			`#endif`
107			`return mag;`
108			`}`
109
110			`double`
111			`_DEFUN(thedouble, (msw, lsw),`
112			`long msw _AND`
113			`long lsw)`
114			`{`
115			`__ieee_double_shape_type x;`
116
117			`x.parts.msw = msw;`
118			`x.parts.lsw = lsw;`
119			`return x.value;`
120			`}`
121
122			`int calc;`
123			`int reduce;`
124
125
126			`_DEFUN(frontline,(f, mag, p, result, merror, errno, args, name),`
127			`FILE *f _AND`
128			`int mag _AND`
129			`one_line_type *p _AND`
130			`double result _AND`
131			`int merror _AND`
132			`int errno _AND`
133			`char *args _AND`
134			`char *name)`
135			`{`
136			`if (reduce && p->error_bit < mag)`
137			`{`
138			`fprintf(f, "{%2d,", p->error_bit);`
139			`}`
140			`else`
141			`{`
142			`fprintf(f, "{%2d,",mag);`
143			`}`
144
145
146			`fprintf(f,"%2d,%3d,", merror,errno);`
147			`fprintf(f, "__LINE__, ");`
148
149			`if (calc)`
150			`{`
151			`translate_to(f, result);`
152			`}`
153			`else`
154			`{`
155			`translate_to(f, thedouble(p->qs[0].msw, p->qs[0].lsw));`
156			`}`
157
158			`fprintf(f, ", ");`
159
160			`fprintf(f,"0x%08x, 0x%08x", p->qs[1].msw, p->qs[1].lsw);`
161
162
163			`if (args[2])`
164			`{`
165			`fprintf(f, ", ");`
166			`fprintf(f,"0x%08x, 0x%08x", p->qs[2].msw, p->qs[2].lsw);`
167			`}`
168
169			`fprintf(f,"}, /* %g=f(%g",result,`
170			`thedouble(p->qs[1].msw, p->qs[1].lsw));`
171
172			`if (args[2])`
173			`{`
174			`fprintf(f,", %g", thedouble(p->qs[2].msw,p->qs[2].lsw));`
175			`}`
176			`fprintf(f, ")*/\n");`
177			`}`
178
179			`_DEFUN(finish,(f, vector, result , p, args, name),`
180			`FILE *f _AND`
181			`int vector _AND`
182			`double result _AND`
183			`one_line_type *p _AND`
184			`char *args _AND`
185			`char *name)`
186			`{`
187			`int mag;`
188
189			`mag = ffcheck(result, p,name, merror, errno);`
190			`if (vector)`
191			`{`
192			`frontline(f, mag, p, result, merror, errno, args , name);`
193			`}`
194			`}`
195			`int redo;`
196
197			`_DEFUN(run_vector_1,(vector, p, func, name, args),`
198			`int vector _AND`
199			`one_line_type *p _AND`
200			`char *func _AND`
201			`char *name _AND`
202			`char *args)`
203			`{`
204			`FILE *f;`
205			`int mag;`
206			`double result;`
207
208			`if (vector)`
209			`{`
210
211			`VECOPEN(name, f);`
212
213			`if (redo)`
214			`{`
215			`double k;`
216
217			`for (k = -.2; k < .2; k+= 0.00132)`
218			`{`
219
220			`fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",`
221			`k,k+4);`
222
223			`}`
224
225			`for (k = -1.2; k < 1.2; k+= 0.01)`
226			`{`
227
228			`fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",`
229			`k,k+4);`
230
231			`}`
232			`for (k = -M_PI 2; k < M_PI 2; k+= M_PI/2)`
233			`{`
234
235			`fprintf(f,"{1,1, 1,1, 0,0,0x%08x,0x%08x, 0x%08x, 0x%08x},\n",`
236			`k,k+4);`
237
238			`}`
239
240			`for (k = -30; k < 30; k+= 1.7)`
241			`{`
242
243			`fprintf(f,"{2,2, 1,1, 0,0, 0x%08x,0x%08x, 0x%08x, 0x%08x},\n",`
244			`k,k+4);`
245
246			`}`
247			`VECCLOSE(f, name, args);`
248			`return;`
249			`}`
250			`}`
251
252			`newfunc(name);`
253			`while (p->line)`
254			`{`
255			`double arg1 = thedouble(p->qs[1].msw, p->qs[1].lsw);`
256			`double arg2 = thedouble(p->qs[2].msw, p->qs[2].lsw);`
257
258			`double r;`
259			`double rf;`
260
261			`errno = 0;`
262			`merror = 0;`
263			`mname = 0;`
264
265
266			`line(p->line);`
267
268			`merror = 0;`
269			`errno = 123;`
270
271			`if (strcmp(args,"dd")==0)`
272			`{`
273			`typedef double _EXFUN((*pdblfunc),(double));`
274
275			`/* Double function returning a double */`
276
277			`result = ((pdblfunc)(func))(arg1);`
278
279			`finish(f,vector, result, p, args, name);`
280			`}`
281			`else if (strcmp(args,"ff")==0)`
282			`{`
283			`float arga;`
284			`double a;`
285
286			`typedef float _EXFUN((*pdblfunc),(float));`
287
288			`/* Double function returning a double */`
289
290			`if (arg1 < FLT_MAX )`
291			`{`
292			`arga = arg1;`
293			`result = ((pdblfunc)(func))(arga);`
294			`finish(f, vector, result, p,args, name);`
295			`}`
296			`}`
297			`else if (strcmp(args,"ddd")==0)`
298			`{`
299			`typedef double _EXFUN((*pdblfunc),(double,double));`
300
301			`result = ((pdblfunc)(func))(arg1,arg2);`
302			`finish(f, vector, result, p,args, name);`
303			`}`
304			`else if (strcmp(args,"fff")==0)`
305			`{`
306			`double a,b;`
307
308			`float arga;`
309			`float argb;`
310
311			`typedef float _EXFUN((*pdblfunc),(float,float));`
312
313
314			`if (arg1 < FLT_MAX && arg2 < FLT_MAX)`
315			`{`
316			`arga = arg1;`
317			`argb = arg2;`
318			`result = ((pdblfunc)(func))(arga, argb);`
319			`finish(f, vector, result, p,args, name);`
320			`}`
321			`}`
322			`else if (strcmp(args,"did")==0)`
323			`{`
324			`typedef double _EXFUN((*pdblfunc),(int,double));`
325
326			`result = ((pdblfunc)(func))((int)arg1,arg2);`
327			`finish(f, vector, result, p,args, name);`
328			`}`
329			`else if (strcmp(args,"fif")==0)`
330			`{`
331			`double a,b;`
332
333			`float arga;`
334			`float argb;`
335
336			`typedef float _EXFUN((*pdblfunc),(int,float));`
337
338
339			`if (arg1 < FLT_MAX && arg2 < FLT_MAX)`
340			`{`
341			`arga = arg1;`
342			`argb = arg2;`
343			`result = ((pdblfunc)(func))((int)arga, argb);`
344			`finish(f, vector, result, p,args, name);`
345			`}`
346			`}`
347
348			`p++;`
349			`}`
350			`if (vector)`
351			`{`
352			`VECCLOSE(f, name, args);`
353			`}`
354			`}`
355
356			`void`
357			`_DEFUN_VOID(test_math)`
358			`{`
359			`test_acos(0);`
360			`test_acosf(0);`
361			`test_acosh(0);`
362			`test_acoshf(0);`
363			`test_asin(0);`
364			`test_asinf(0);`
365			`test_asinh(0);`
366			`test_asinhf(0);`
367			`test_atan(0);`
368			`test_atan2(0);`
369			`test_atan2f(0);`
370			`test_atanf(0);`
371			`test_atanh(0);`
372			`test_atanhf(0);`
373			`test_ceil(0);`
374			`test_ceilf(0);`
375			`test_cos(0);`
376			`test_cosf(0);`
377			`test_cosh(0);`
378			`test_coshf(0);`
379			`test_erf(0);`
380			`test_erfc(0);`
381			`test_erfcf(0);`
382			`test_erff(0);`
383			`test_exp(0);`
384			`test_expf(0);`
385			`test_fabs(0);`
386			`test_fabsf(0);`
387			`test_floor(0);`
388			`test_floorf(0);`
389			`test_fmod(0);`
390			`test_fmodf(0);`
391			`test_gamma(0);`
392			`test_gammaf(0);`
393			`test_hypot(0);`
394			`test_hypotf(0);`
395			`test_j0(0);`
396			`test_j0f(0);`
397			`test_j1(0);`
398			`test_j1f(0);`
399			`test_jn(0);`
400			`test_jnf(0);`
401			`test_log(0);`
402			`test_log10(0);`
403			`test_log10f(0);`
404			`test_log1p(0);`
405			`test_log1pf(0);`
406			`test_log2(0);`
407			`test_log2f(0);`
408			`test_logf(0);`
409			`test_sin(0);`
410			`test_sinf(0);`
411			`test_sinh(0);`
412			`test_sinhf(0);`
413			`test_sqrt(0);`
414			`test_sqrtf(0);`
415			`test_tan(0);`
416			`test_tanf(0);`
417			`test_tanh(0);`
418			`test_tanhf(0);`
419			`test_y0(0);`
420			`test_y0f(0);`
421			`test_y1(0);`
422			`test_y1f(0);`
423			`test_y1f(0);`
424			`test_ynf(0);`
425			`}`
426
427			`/* These have to be played with to get to compile on machines which`
428			`don't have the fancy <foo>f entry points`
429			`*/`
430
431			`#if 0`
432			`float _DEFUN(cosf,(a), float a) { return cos((double)a); }`
433			`float _DEFUN(sinf,(a), float a) { return sin((double)a); }`
434			`float _DEFUN(log1pf,(a), float a) { return log1p((double)a); }`
435			`float _DEFUN(tanf,(a), float a) { return tan((double)a); }`
436			`float _DEFUN(ceilf,(a), float a) { return ceil(a); }`
437			`float _DEFUN(floorf,(a), float a) { return floor(a); }`
438			`#endif`
439
440			`/ndef HAVE_FLOAT/`
441			`#if 0`
442
443			`float fmodf(a,b) float a,b; { return fmod(a,b); }`
444			`float hypotf(a,b) float a,b; { return hypot(a,b); }`
445
446			`float acosf(a) float a; { return acos(a); }`
447			`float acoshf(a) float a; { return acosh(a); }`
448			`float asinf(a) float a; { return asin(a); }`
449			`float asinhf(a) float a; { return asinh(a); }`
450			`float atanf(a) float a; { return atan(a); }`
451			`float atanhf(a) float a; { return atanh(a); }`
452
453			`float coshf(a) float a; { return cosh(a); }`
454			`float erff(a) float a; { return erf(a); }`
455			`float erfcf(a) float a; { return erfc(a); }`
456			`float expf(a) float a; { return exp(a); }`
457			`float fabsf(a) float a; { return fabs(a); }`
458
459			`float gammaf(a) float a; { return gamma(a); }`
460			`float j0f(a) float a; { return j0(a); }`
461			`float j1f(a) float a; { return j1(a); }`
462			`float log10f(a) float a; { return log10(a); }`
463
464			`float logf(a) float a; { return log(a); }`
465
466			`float sinhf(a) float a; { return sinh(a); }`
467			`float sqrtf(a) float a; { return sqrt(a); }`
468
469			`float tanhf(a) float a; { return tanh(a); }`
470			`float y0f(a) float a; { return y0(a); }`
471			`float y1f(a) float a; { return y1(a); }`
472			`#endif`