/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License (the "License"). * You may not use this file except in compliance with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ /* * Copyright 2008 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #include "lint.h" #include "base_conversion.h" /* translation table from hex values to hex chars */ static const char *hexchar = "0123456789abcdef"; /* * Convert arg to a hexadecimal string. * * If arg is finite and nonzero, buf is filled with ndigits hexadecimal * digits, representing the significand of arg, followed by a null byte * (so ndigits must be at least 1 and buf must be large enough to hold * ndigits + 1 characters). If ndigits is large enough, the representa- * tion is exact; otherwise, the value is rounded according to the pre- * vailing rounding mode to fit the requested number of digits. Either * way, the result is normalized so that the first digit is '1'. The * corresponding base two exponent is passed back in *exp. * * If arg is zero, buf is filled with ndigits zeros followed by a null, * and *exp is set to zero. If arg is infinite or NaN, __infnanstring * is called to place an appropriate string in buf, and *exp is set to * zero. * * Regardless of the value of arg, its sign bit is stored in *sign. */ #if defined(__sparc) void __aconvert(double arg, int ndigits, int *exp, int *sign, char *buf) { union { unsigned int i[2]; long long l; double d; } a, c; int ha, i, s; unsigned int d; a.d = arg; *sign = s = a.i[0] >> 31; ha = a.i[0] & ~0x80000000; /* check for infinity or nan */ if (ha >= 0x7ff00000) { *exp = 0; __infnanstring((ha == 0x7ff00000 && a.i[1] == 0)? fp_infinity : fp_quiet, ndigits, buf); return; } /* check for subnormal or zero */ if (ha < 0x00100000) { if ((ha | a.i[1]) == 0) { *exp = 0; for (i = 0; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; return; } /* * Normalize. It would be much simpler if we could just * multiply by a power of two here, but some SPARC imple- * mentations would flush the subnormal operand to zero * when nonstandard mode is enabled. */ a.i[0] = ha; a.d = (double)a.l; if (s) a.d = -a.d; ha = a.i[0] & ~0x80000000; *exp = (ha >> 20) - 0x3ff - 1074; } else { *exp = (ha >> 20) - 0x3ff; } if (ndigits < 14) { /* * Round the significand at the appropriate bit by adding * and subtracting a power of two. This will also raise * the inexact exception if anything is rounded off. */ c.i[0] = (0x43700000 | (s << 31)) - (ndigits << 22); c.i[1] = 0; a.i[0] = (a.i[0] & 0x800fffff) | 0x3ff00000; a.d = (a.d + c.d) - c.d; ha = a.i[0] & ~0x80000000; if (ha >= 0x40000000) (*exp)++; } /* convert to hex digits */ buf[0] = '1'; d = ha << 12; for (i = 1; i < ndigits && i < 6; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } d = a.i[1]; for (; i < ndigits && i < 14; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } for (; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; } void __qaconvert(long double *arg, int ndigits, int *exp, int *sign, char *buf) { union { unsigned int i[4]; long double q; } a; enum fp_direction_type rd; int ha, i, s; unsigned int b, r, d; a.q = *arg; *sign = a.i[0] >> 31; ha = a.i[0] &= ~0x80000000; /* check for infinity or nan */ if (ha >= 0x7fff0000) { *exp = 0; __infnanstring((ha == 0x7fff0000 && (a.i[1] | a.i[2] | a.i[3]) == 0)? fp_infinity : fp_quiet, ndigits, buf); return; } /* check for subnormal or zero */ if (ha < 0x00010000) { if ((ha | a.i[1] | a.i[2] | a.i[3]) == 0) { *exp = 0; for (i = 0; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; return; } /* normalize */ i = 0; while ((a.i[0] | (a.i[1] & 0xffff0000)) == 0) { a.i[0] = a.i[1]; a.i[1] = a.i[2]; a.i[2] = a.i[3]; a.i[3] = 0; i += 32; } while ((a.i[0] & 0x7fff0000) == 0) { a.i[0] = (a.i[0] << 1) | (a.i[1] >> 31); a.i[1] = (a.i[1] << 1) | (a.i[2] >> 31); a.i[2] = (a.i[2] << 1) | (a.i[3] >> 31); a.i[3] <<= 1; i++; } *exp = -0x3ffe - i; } else { *exp = (ha >> 16) - 0x3fff; } if (ndigits < 29) { /* * Round the significand at the appropriate bit using * integer arithmetic. Explicitly raise the inexact * exception if anything is rounded off. */ a.i[0] = (a.i[0] & 0xffff) | 0x10000; if (ndigits <= 5) { /* * i and b are the index and bit position in a.i[] * of the last bit to be retained. r holds the bits * to be rounded off, left-adjusted and sticky. */ i = 0; s = (5 - ndigits) << 2; b = 1 << s; r = ((a.i[0] << 1) << (31 - s)) | (a.i[1] >> s); if ((a.i[1] & (b - 1)) | a.i[2] | a.i[3]) r |= 1; a.i[0] &= ~(b - 1); a.i[1] = a.i[2] = a.i[3] = 0; } else if (ndigits <= 13) { i = 1; s = (13 - ndigits) << 2; b = 1 << s; r = ((a.i[1] << 1) << (31 - s)) | (a.i[2] >> s); if ((a.i[2] & (b - 1)) | a.i[3]) r |= 1; a.i[1] &= ~(b - 1); a.i[2] = a.i[3] = 0; } else if (ndigits <= 21) { i = 2; s = (21 - ndigits) << 2; b = 1 << s; r = ((a.i[2] << 1) << (31 - s)) | (a.i[3] >> s); if (a.i[3] & (b - 1)) r |= 1; a.i[2] &= ~(b - 1); a.i[3] = 0; } else { i = 3; s = (29 - ndigits) << 2; b = 1 << s; r = (a.i[3] << 1) << (31 - s); a.i[3] &= ~(b - 1); } /* conversion is inexact if r is not zero */ if (r) { __base_conversion_set_exception( (fp_exception_field_type)(1 << fp_inexact)); /* massage the rounding direction based on the sign */ rd = _QgetRD(); if (*sign && (rd == fp_positive || rd == fp_negative)) rd = fp_positive + fp_negative - rd; /* decide whether to round up */ if (rd == fp_positive || (rd == fp_nearest && (r > 0x80000000u || (r == 0x80000000u && (a.i[i] & b))))) { a.i[i] += b; while (a.i[i] == 0) a.i[--i]++; if (a.i[0] >= 0x20000) (*exp)++; } } } /* convert to hex digits */ buf[0] = '1'; d = a.i[0] << 16; for (i = 1; i < ndigits && i < 5; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } d = a.i[1]; for (; i < ndigits && i < 13; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } d = a.i[2]; for (; i < ndigits && i < 21; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } d = a.i[3]; for (; i < ndigits && i < 29; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } for (; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; } #elif defined(__i386) || defined(__amd64) /* * The following code assumes the rounding precision mode is set * to the default (round to 64 bits). */ void __qaconvert(long double *arg, int ndigits, int *exp, int *sign, char *buf) { union { unsigned int i[3]; long double x; } a, c; int ea, i, s; unsigned int d; a.x = *arg; *sign = s = (a.i[2] >> 15) & 1; ea = a.i[2] & 0x7fff; /* check for infinity or nan */ if (ea == 0x7fff) { *exp = 0; __infnanstring((((a.i[1] << 1) | a.i[0]) == 0)? fp_infinity : fp_quiet, ndigits, buf); return; } /* check for subnormal or zero */ if (ea == 0) { if ((a.i[1] | a.i[0]) == 0) { *exp = 0; for (i = 0; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; return; } /* normalize */ a.x *= 18446744073709551616.0; /* 2^64 */ ea = a.i[2] & 0x7fff; *exp = ea - 0x403f; } else { *exp = ea - 0x3fff; } if (ndigits < 17) { /* * Round the significand at the appropriate bit by adding * and subtracting a power of two. This will also raise * the inexact exception if anything is rounded off. */ c.i[2] = (0x4042 | (s << 15)) - (ndigits << 2); c.i[1] = 0x80000000; c.i[0] = 0; a.i[2] = 0x3fff | (s << 15); a.x = (a.x + c.x) - c.x; ea = a.i[2] & 0x7fff; if (ea >= 0x4000) (*exp)++; } /* convert to hex digits */ buf[0] = '1'; d = (a.i[1] << 1) | (a.i[0] >> 31); for (i = 1; i < ndigits && i < 9; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } d = a.i[0] << 1; for (; i < ndigits && i < 17; i++) { buf[i] = hexchar[d >> 28]; d <<= 4; } for (; i < ndigits; i++) buf[i] = '0'; buf[ndigits] = '\0'; } void __aconvert(double arg, int ndigits, int *exp, int *sign, char *buf) { union { int i[2]; double d; } a; long double ldarg; int ha; /* avoid raising invalid operation exception for signaling nan */ a.i[0] = *(int *)&arg; a.i[1] = *(1+(int *)&arg); ha = a.i[1] & ~0x80000000; if (ha > 0x7ff00000 || (ha == 0x7ff00000 && a.i[0] != 0)) a.i[1] |= 0x80000; /* make nan quiet */ ldarg = a.d; __qaconvert(&ldarg, ndigits, exp, sign, buf); } #else #error Unknown architecture #endif