eccodes/src/grib_ibmfloat.cc

299 lines
7.1 KiB
C++

/*
* (C) Copyright 2005- ECMWF.
*
* This software is licensed under the terms of the Apache Licence Version 2.0
* which can be obtained at http://www.apache.org/licenses/LICENSE-2.0.
*
* In applying this licence, ECMWF does not waive the privileges and immunities granted to it by
* virtue of its status as an intergovernmental organisation nor does it submit to any jurisdiction.
*/
#include "grib_api_internal.h"
#if GRIB_PTHREADS
static pthread_once_t once = PTHREAD_ONCE_INIT;
static pthread_mutex_t mutex = PTHREAD_MUTEX_INITIALIZER;
static void init()
{
pthread_mutexattr_t attr;
pthread_mutexattr_init(&attr);
pthread_mutexattr_settype(&attr, PTHREAD_MUTEX_RECURSIVE);
pthread_mutex_init(&mutex, &attr);
pthread_mutexattr_destroy(&attr);
}
#elif GRIB_OMP_THREADS
static int once = 0;
static omp_nest_lock_t mutex;
static void init()
{
GRIB_OMP_CRITICAL(lock_grib_ibmfloat_c)
{
if (once == 0) {
omp_init_nest_lock(&mutex);
once = 1;
}
}
}
#endif
typedef struct ibm_table_t ibm_table_t;
struct ibm_table_t
{
int inited;
double e[128];
double v[128];
double vmin;
double vmax;
};
static ibm_table_t ibm_table = { 0, {0,}, {0,}, 0, 0 };
static void init_ibm_table()
{
if (!ibm_table.inited) {
unsigned long i;
unsigned long mmin = 0x100000;
unsigned long mmax = 0xffffff;
double e = 1;
for (i = 1; i <= 57; i++) {
e *= 16;
ibm_table.e[i + 70] = e;
ibm_table.v[i + 70] = e * mmin;
}
ibm_table.e[70] = 1;
ibm_table.v[70] = mmin;
e = 1;
for (i = 1; i <= 70; i++) {
e /= 16;
ibm_table.e[70 - i] = e;
ibm_table.v[70 - i] = e * mmin;
}
ibm_table.vmin = ibm_table.v[0];
ibm_table.vmax = ibm_table.e[127] * mmax;
ibm_table.inited = 1;
/*for (i=0;i<128;i++) printf("++++ ibm_table.v[%d]=%g\n",i,ibm_table.v[i]);*/
}
}
static void init_table_if_needed()
{
GRIB_MUTEX_INIT_ONCE(&once, &init);
GRIB_MUTEX_LOCK(&mutex);
if (!ibm_table.inited)
init_ibm_table();
GRIB_MUTEX_UNLOCK(&mutex);
}
static void binary_search(const double xx[], const unsigned long n, double x, unsigned long* j)
{
/*These routine works only on ascending ordered arrays*/
unsigned long ju, jm, jl;
jl = 0;
ju = n;
while (ju - jl > 1) {
jm = (ju + jl) >> 1;
/* printf("jl=%lu jm=%lu ju=%lu\n",jl,jm,ju); */
/* printf("xx[jl]=%.10e xx[jm]=%.10e xx[ju]=%.10e\n",xx[jl],xx[jm],xx[ju]); */
if (x >= xx[jm])
jl = jm;
else
ju = jm;
}
*j = jl;
}
unsigned long grib_ibm_to_long(double x)
{
unsigned long s = 0;
unsigned long mmax = 0xffffff;
unsigned long mmin = 0x800000;
unsigned long m = 0;
unsigned long e = 0;
double rmmax = mmax + 0.5;
init_table_if_needed();
/* printf("\ngrib_ibm_to_long: x=%.20e\n",x); */
if (x < 0) {
s = 1;
x = -x;
}
/* Underflow */
if (x < ibm_table.vmin) {
/*printf("grib_ibm_to_long: (x < ibm_table.vmin) x=%.20e vmin=%.20e v=0x%lX\n",x,ibm_table.vmin,(s<<31));*/
return (s << 31);
}
/* Overflow */
if (x > ibm_table.vmax) {
fprintf(stderr, "grib_ibm_to_long: Number is too large: x=%.20e > xmax=%.20e\n", x, ibm_table.vmax);
Assert(0);
return 0;
}
binary_search(ibm_table.v, 127, x, &e);
/* printf("grib_ibm_to_long: e=%ld\n",e); */
x /= ibm_table.e[e];
/* printf("grib_ibm_to_long: x=%.20e\n",x); */
while (x < mmin) {
x *= 16;
e--;
/* printf("grib_ibm_to_long (e--): x=%.20e e=%ld \n",x,e); */
}
while (x > rmmax) {
x /= 16;
e++;
/* printf("grib_ibm_to_long (e++): x=%.20e e=%ld \n",x,e); */
}
m = x + 0.5;
/* printf("grib_ibm_to_long: m=0x%lX (%lu) x=%.10e \n",m,m,x ); */
if (m > mmax) {
e++;
m = 0x800000;
/* printf("grib_ibm_to_long: ( m > mmax ) m=0x%lX (%lu) x=%.10e \n",m,m,x ); */
}
/* printf("grib_ibm_to_long: s=%lu c=%lu (0x%lX) m=%lu (0x%lX)\n",s,e,e,m,m ); */
return (s << 31) | (e << 24) | m;
}
double grib_ibmfloat_error(double x)
{
unsigned long e = 0;
init_table_if_needed();
if (x < 0)
x = -x;
/* Underflow */
if (x <= ibm_table.vmin)
return ibm_table.vmin;
/* Overflow */
if (x > ibm_table.vmax) {
fprintf(stderr, "grib_ibmfloat_error: Number is too large: x=%.20e > xmax=%.20e\n", x, ibm_table.vmax);
Assert(0);
return 0;
}
binary_search(ibm_table.v, 127, x, &e);
return ibm_table.e[e];
}
double grib_long_to_ibm(unsigned long x)
{
unsigned long s = x & 0x80000000;
unsigned long c = (x & 0x7f000000) >> 24;
unsigned long m = (x & 0x00ffffff);
double val = m;
init_table_if_needed();
/*if(x == 0) return 0;*/
if (c == 0 && m <= 1)
return 0;
val *= ibm_table.e[c];
if (s)
val = -val;
return val;
}
double grib_ibm_table_e(unsigned long e)
{
init_table_if_needed();
return ibm_table.e[e];
}
double grib_ibm_table_v(unsigned long e)
{
init_table_if_needed();
return ibm_table.v[e];
}
unsigned long grib_ibm_nearest_smaller_to_long(double x)
{
unsigned long l;
unsigned long e;
unsigned long m;
unsigned long s;
unsigned long mmin = 0x100000;
double y, eps = 0;
if (x == 0)
return 0;
init_table_if_needed();
l = grib_ibm_to_long(x);
y = grib_long_to_ibm(l);
if (x < y) {
if (x < 0 && -x < ibm_table.vmin) {
l = 0x80100000;
}
else {
e = (l & 0x7f000000) >> 24;
m = (l & 0x00ffffff);
s = l & 0x80000000;
if (m == mmin) {
/* printf("grib_ibm_nearest_smaller_to_long: m == mmin (0x%lX) e=%lu\n",m,e); */
e = s ? e : e - 1;
/*if (e<0) e=0; this condition is always FALSE -- 'e' is unsigned long */
if (e > 127)
e = 127;
/* printf("grib_ibm_nearest_smaller_to_long: e=%lu \n",e); */
}
eps = ibm_table.e[e];
/* printf("grib_ibm_nearest_smaller_to_long: x<y\n"); */
l = grib_ibm_to_long(y - eps);
/* printf("grib_ibm_nearest_smaller_to_long: grib_ibm_to_long(y-eps)=0x%lX y=%.10e eps=%.10e x=%.10e\n",l,y,eps,x); */
}
}
if (x < grib_long_to_ibm(l)) {
l = grib_ibm_to_long(x - eps);
if (x < grib_long_to_ibm(l)) {
printf("grib_ibm_nearest_smaller_to_long: x=%.20e grib_long_to_ibm(0x%lX)=%.20e\n", x, l, grib_long_to_ibm(l));
Assert(x >= grib_long_to_ibm(l));
}
}
return l;
}
int grib_nearest_smaller_ibm_float(double a, double* ret)
{
unsigned long l = 0;
init_table_if_needed();
if (a > ibm_table.vmax)
return GRIB_INTERNAL_ERROR;
l = grib_ibm_nearest_smaller_to_long(a);
*ret = grib_long_to_ibm(l);
return GRIB_SUCCESS;
}