/*********************************************************** Copyright 1991, 1992, 1993, 1994 by Stichting Mathematisch Centrum, Amsterdam, The Netherlands. All Rights Reserved Permission to use, copy, modify, and distribute this software and its documentation for any purpose and without fee is hereby granted, provided that the above copyright notice appear in all copies and that both that copyright notice and this permission notice appear in supporting documentation, and that the names of Stichting Mathematisch Centrum or CWI not be used in advertising or publicity pertaining to distribution of the software without specific, written prior permission. STICHTING MATHEMATISCH CENTRUM DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH CENTRUM BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. ******************************************************************/ /* Float object implementation */ /* XXX There should be overflow checks here, but it's hard to check for any kind of float exception without losing portability. */ #include "allobjects.h" #include "modsupport.h" #include #include #include #ifdef i860 /* Cray APP has bogus definition of HUGE_VAL in */ #undef HUGE_VAL #endif #ifdef HUGE_VAL #define CHECK(x) if (errno != 0) ; \ else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \ else errno = ERANGE #else #define CHECK(x) /* Don't know how to check */ #endif #ifdef HAVE_LIMITS_H #include #endif #ifndef LONG_MAX #define LONG_MAX 0X7FFFFFFFL #endif #ifndef LONG_MIN #define LONG_MIN (-LONG_MAX-1) #endif #ifndef macintosh extern double fmod PROTO((double, double)); extern double pow PROTO((double, double)); #endif object * newfloatobject(fval) double fval; { /* For efficiency, this code is copied from newobject() */ register floatobject *op = (floatobject *) malloc(sizeof(floatobject)); if (op == NULL) return err_nomem(); op->ob_type = &Floattype; op->ob_fval = fval; NEWREF(op); return (object *) op; } static void float_dealloc(op) object *op; { DEL(op); } double getfloatvalue(op) object *op; { number_methods *nb; floatobject *fo; double val; if (op && is_floatobject(op)) return GETFLOATVALUE((floatobject*) op); if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || nb->nb_float == NULL) { err_badarg(); return -1; } fo = (floatobject*) (*nb->nb_float) (op); if (fo == NULL) return -1; if (!is_floatobject(fo)) { err_setstr(TypeError, "nb_float should return float object"); return -1; } val = GETFLOATVALUE(fo); DECREF(fo); return val; } /* Methods */ void float_buf_repr(buf, v) char *buf; floatobject *v; { register char *cp; /* Subroutine for float_repr and float_print. We want float numbers to be recognizable as such, i.e., they should contain a decimal point or an exponent. However, %g may print the number as an integer; in such cases, we append ".0" to the string. */ sprintf(buf, "%.12g", v->ob_fval); cp = buf; if (*cp == '-') cp++; for (; *cp != '\0'; cp++) { /* Any non-digit means it's not an integer; this takes care of NAN and INF as well. */ if (!isdigit(*cp)) break; } if (*cp == '\0') { *cp++ = '.'; *cp++ = '0'; *cp++ = '\0'; } } /* ARGSUSED */ static int float_print(v, fp, flags) floatobject *v; FILE *fp; int flags; /* Not used but required by interface */ { char buf[100]; float_buf_repr(buf, v); fputs(buf, fp); return 0; } static object * float_repr(v) floatobject *v; { char buf[100]; float_buf_repr(buf, v); return newstringobject(buf); } static int float_compare(v, w) floatobject *v, *w; { double i = v->ob_fval; double j = w->ob_fval; return (i < j) ? -1 : (i > j) ? 1 : 0; } static long float_hash(v) floatobject *v; { double intpart, fractpart; int expo; long x; /* This is designed so that Python numbers with the same value hash to the same value, otherwise comparisons of mapping keys will turn out weird */ #ifdef MPW /* MPW C modf expects pointer to extended as second argument */ { extended e; fractpart = modf(v->ob_fval, &e); intpart = e; } #else fractpart = modf(v->ob_fval, &intpart); #endif if (fractpart == 0.0) { if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) { /* Convert to long int and use its hash... */ object *w = dnewlongobject(v->ob_fval); if (w == NULL) return -1; x = hashobject(w); DECREF(w); return x; } x = (long)intpart; } else { fractpart = frexp(fractpart, &expo); fractpart = fractpart*4294967296.0; /* 2**32 */ x = (long) (intpart + fractpart) ^ expo; /* Rather arbitrary */ } if (x == -1) x = -2; return x; } static object * float_add(v, w) floatobject *v; floatobject *w; { return newfloatobject(v->ob_fval + w->ob_fval); } static object * float_sub(v, w) floatobject *v; floatobject *w; { return newfloatobject(v->ob_fval - w->ob_fval); } static object * float_mul(v, w) floatobject *v; floatobject *w; { return newfloatobject(v->ob_fval * w->ob_fval); } static object * float_div(v, w) floatobject *v; floatobject *w; { if (w->ob_fval == 0) { err_setstr(ZeroDivisionError, "float division"); return NULL; } return newfloatobject(v->ob_fval / w->ob_fval); } static object * float_rem(v, w) floatobject *v; floatobject *w; { double vx, wx; double /* div, */ mod; wx = w->ob_fval; if (wx == 0.0) { err_setstr(ZeroDivisionError, "float modulo"); return NULL; } vx = v->ob_fval; mod = fmod(vx, wx); /* div = (vx - mod) / wx; */ if (wx*mod < 0) { mod += wx; /* div -= 1.0; */ } return newfloatobject(mod); } static object * float_divmod(v, w) floatobject *v; floatobject *w; { double vx, wx; double div, mod; object *t; wx = w->ob_fval; if (wx == 0.0) { err_setstr(ZeroDivisionError, "float divmod()"); return NULL; } vx = v->ob_fval; mod = fmod(vx, wx); div = (vx - mod) / wx; if (wx*mod < 0) { mod += wx; div -= 1.0; } return mkvalue("(dd)", div, mod); } static object * float_pow(v, w, z) floatobject *v; floatobject *w; floatobject *z; { double iv, iw, ix; iv = v->ob_fval; iw = w->ob_fval; /* XXX Doesn't handle overflows if z!=None yet; it may never do so :( * The z parameter is really only going to be useful for integers and * long integers. Maybe something clever with logarithms could be done. * [AMK] */ /* Sort out special cases here instead of relying on pow() */ if (iw == 0.0) { /* x**0 is 1, even 0**0 */ if ((object *)z!=None) { ix=fmod(1.0, z->ob_fval); if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval; } else ix=1.0; return newfloatobject(ix); } if (iv == 0.0) { if (iw < 0.0) { err_setstr(ValueError, "0.0 to a negative power"); return NULL; } return newfloatobject(0.0); } if (iv < 0.0) { err_setstr(ValueError, "negative float to float power"); return NULL; } errno = 0; ix = pow(iv, iw); CHECK(ix); if (errno != 0) { /* XXX could it be another type of error? */ err_errno(OverflowError); return NULL; } if ((object *)z!=None) { ix=fmod(ix, z->ob_fval); /* XXX To Be Rewritten */ if ( ix!=0 && ((iv<0 && z->ob_fval>0) || (iv>0 && z->ob_fval<0) )) { ix+=z->ob_fval; } } return newfloatobject(ix); } static object * float_neg(v) floatobject *v; { return newfloatobject(-v->ob_fval); } static object * float_pos(v) floatobject *v; { INCREF(v); return (object *)v; } static object * float_abs(v) floatobject *v; { if (v->ob_fval < 0) return float_neg(v); else return float_pos(v); } static int float_nonzero(v) floatobject *v; { return v->ob_fval != 0.0; } static int float_coerce(pv, pw) object **pv; object **pw; { if (is_intobject(*pw)) { long x = getintvalue(*pw); *pw = newfloatobject((double)x); INCREF(*pv); return 0; } else if (is_longobject(*pw)) { *pw = newfloatobject(dgetlongvalue(*pw)); INCREF(*pv); return 0; } return 1; /* Can't do it */ } static object * float_int(v) object *v; { double x = getfloatvalue(v); if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN : (x = floor(x)) > (double)LONG_MAX) { err_setstr(OverflowError, "float to large to convert"); return NULL; } return newintobject((long)x); } static object * float_long(v) object *v; { double x = getfloatvalue(v); return dnewlongobject(x); } static object * float_float(v) object *v; { INCREF(v); return v; } static number_methods float_as_number = { (binaryfunc)float_add, /*nb_add*/ (binaryfunc)float_sub, /*nb_subtract*/ (binaryfunc)float_mul, /*nb_multiply*/ (binaryfunc)float_div, /*nb_divide*/ (binaryfunc)float_rem, /*nb_remainder*/ (binaryfunc)float_divmod, /*nb_divmod*/ (ternaryfunc)float_pow, /*nb_power*/ (unaryfunc)float_neg, /*nb_negative*/ (unaryfunc)float_pos, /*nb_positive*/ (unaryfunc)float_abs, /*nb_absolute*/ (inquiry)float_nonzero, /*nb_nonzero*/ 0, /*nb_invert*/ 0, /*nb_lshift*/ 0, /*nb_rshift*/ 0, /*nb_and*/ 0, /*nb_xor*/ 0, /*nb_or*/ (coercion)float_coerce, /*nb_coerce*/ (unaryfunc)float_int, /*nb_int*/ (unaryfunc)float_long, /*nb_long*/ (unaryfunc)float_float, /*nb_float*/ 0, /*nb_oct*/ 0, /*nb_hex*/ }; typeobject Floattype = { OB_HEAD_INIT(&Typetype) 0, "float", sizeof(floatobject), 0, (destructor)float_dealloc, /*tp_dealloc*/ (printfunc)float_print, /*tp_print*/ 0, /*tp_getattr*/ 0, /*tp_setattr*/ (cmpfunc)float_compare, /*tp_compare*/ (reprfunc)float_repr, /*tp_repr*/ &float_as_number, /*tp_as_number*/ 0, /*tp_as_sequence*/ 0, /*tp_as_mapping*/ (hashfunc)float_hash, /*tp_hash*/ };