196 lines
7.9 KiB
C
196 lines
7.9 KiB
C
/* $NetBSD: fpu_emu.h,v 1.1 2001/06/13 06:01:47 simonb Exp $ */
|
|
|
|
/*
|
|
* Copyright (c) 1992, 1993
|
|
* The Regents of the University of California. All rights reserved.
|
|
*
|
|
* This software was developed by the Computer Systems Engineering group
|
|
* at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
|
|
* contributed to Berkeley.
|
|
*
|
|
* All advertising materials mentioning features or use of this software
|
|
* must display the following acknowledgement:
|
|
* This product includes software developed by the University of
|
|
* California, Lawrence Berkeley Laboratory.
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions
|
|
* are met:
|
|
* 1. Redistributions of source code must retain the above copyright
|
|
* notice, this list of conditions and the following disclaimer.
|
|
* 2. Redistributions in binary form must reproduce the above copyright
|
|
* notice, this list of conditions and the following disclaimer in the
|
|
* documentation and/or other materials provided with the distribution.
|
|
* 3. All advertising materials mentioning features or use of this software
|
|
* must display the following acknowledgement:
|
|
* This product includes software developed by the University of
|
|
* California, Berkeley and its contributors.
|
|
* 4. Neither the name of the University nor the names of its contributors
|
|
* may be used to endorse or promote products derived from this software
|
|
* without specific prior written permission.
|
|
*
|
|
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
|
|
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
|
|
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
|
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
|
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
|
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
|
* SUCH DAMAGE.
|
|
*
|
|
* @(#)fpu_emu.h 8.1 (Berkeley) 6/11/93
|
|
*/
|
|
|
|
/*
|
|
* Floating point emulator (tailored for SPARC, but structurally
|
|
* machine-independent).
|
|
*
|
|
* Floating point numbers are carried around internally in an `expanded'
|
|
* or `unpacked' form consisting of:
|
|
* - sign
|
|
* - unbiased exponent
|
|
* - mantissa (`1.' + 112-bit fraction + guard + round)
|
|
* - sticky bit
|
|
* Any implied `1' bit is inserted, giving a 113-bit mantissa that is
|
|
* always nonzero. Additional low-order `guard' and `round' bits are
|
|
* scrunched in, making the entire mantissa 115 bits long. This is divided
|
|
* into four 32-bit words, with `spare' bits left over in the upper part
|
|
* of the top word (the high bits of fp_mant[0]). An internal `exploded'
|
|
* number is thus kept within the half-open interval [1.0,2.0) (but see
|
|
* the `number classes' below). This holds even for denormalized numbers:
|
|
* when we explode an external denorm, we normalize it, introducing low-order
|
|
* zero bits, so that the rest of the code always sees normalized values.
|
|
*
|
|
* Note that a number of our algorithms use the `spare' bits at the top.
|
|
* The most demanding algorithm---the one for sqrt---depends on two such
|
|
* bits, so that it can represent values up to (but not including) 8.0,
|
|
* and then it needs a carry on top of that, so that we need three `spares'.
|
|
*
|
|
* The sticky-word is 32 bits so that we can use `OR' operators to goosh
|
|
* whole words from the mantissa into it.
|
|
*
|
|
* All operations are done in this internal extended precision. According
|
|
* to Hennesey & Patterson, Appendix A, rounding can be repeated---that is,
|
|
* it is OK to do a+b in extended precision and then round the result to
|
|
* single precision---provided single, double, and extended precisions are
|
|
* `far enough apart' (they always are), but we will try to avoid any such
|
|
* extra work where possible.
|
|
*/
|
|
struct fpn {
|
|
int fp_class; /* see below */
|
|
int fp_sign; /* 0 => positive, 1 => negative */
|
|
int fp_exp; /* exponent (unbiased) */
|
|
int fp_sticky; /* nonzero bits lost at right end */
|
|
u_int fp_mant[4]; /* 115-bit mantissa */
|
|
};
|
|
|
|
#define FP_NMANT 115 /* total bits in mantissa (incl g,r) */
|
|
#define FP_NG 2 /* number of low-order guard bits */
|
|
#define FP_LG ((FP_NMANT - 1) & 31) /* log2(1.0) for fp_mant[0] */
|
|
#define FP_LG2 ((FP_NMANT - 1) & 63) /* log2(1.0) for fp_mant[0] and fp_mant[1] */
|
|
#define FP_QUIETBIT (1 << (FP_LG - 1)) /* Quiet bit in NaNs (0.5) */
|
|
#define FP_1 (1 << FP_LG) /* 1.0 in fp_mant[0] */
|
|
#define FP_2 (1 << (FP_LG + 1)) /* 2.0 in fp_mant[0] */
|
|
|
|
/*
|
|
* Number classes. Since zero, Inf, and NaN cannot be represented using
|
|
* the above layout, we distinguish these from other numbers via a class.
|
|
* In addition, to make computation easier and to follow Appendix N of
|
|
* the SPARC Version 8 standard, we give each kind of NaN a separate class.
|
|
*/
|
|
#define FPC_SNAN -2 /* signalling NaN (sign irrelevant) */
|
|
#define FPC_QNAN -1 /* quiet NaN (sign irrelevant) */
|
|
#define FPC_ZERO 0 /* zero (sign matters) */
|
|
#define FPC_NUM 1 /* number (sign matters) */
|
|
#define FPC_INF 2 /* infinity (sign matters) */
|
|
|
|
#define ISSNAN(fp) ((fp)->fp_class == FPC_SNAN)
|
|
#define ISQNAN(fp) ((fp)->fp_class == FPC_QNAN)
|
|
#define ISNAN(fp) ((fp)->fp_class < 0)
|
|
#define ISZERO(fp) ((fp)->fp_class == 0)
|
|
#define ISINF(fp) ((fp)->fp_class == FPC_INF)
|
|
|
|
/*
|
|
* ORDER(x,y) `sorts' a pair of `fpn *'s so that the right operand (y) points
|
|
* to the `more significant' operand for our purposes. Appendix N says that
|
|
* the result of a computation involving two numbers are:
|
|
*
|
|
* If both are SNaN: operand 2, converted to Quiet
|
|
* If only one is SNaN: the SNaN operand, converted to Quiet
|
|
* If both are QNaN: operand 2
|
|
* If only one is QNaN: the QNaN operand
|
|
*
|
|
* In addition, in operations with an Inf operand, the result is usually
|
|
* Inf. The class numbers are carefully arranged so that if
|
|
* (unsigned)class(op1) > (unsigned)class(op2)
|
|
* then op1 is the one we want; otherwise op2 is the one we want.
|
|
*/
|
|
#define ORDER(x, y) { \
|
|
if ((u_int)(x)->fp_class > (u_int)(y)->fp_class) \
|
|
SWAP(x, y); \
|
|
}
|
|
#define SWAP(x, y) { \
|
|
struct fpn *swap; \
|
|
swap = (x), (x) = (y), (y) = swap; \
|
|
}
|
|
|
|
/*
|
|
* Emulator state.
|
|
*/
|
|
struct fpemu {
|
|
struct fpreg *fe_fpstate; /* registers, etc */
|
|
int fe_fpscr; /* fpscr copy (modified during op) */
|
|
int fe_cx; /* keep track of exceptions */
|
|
struct fpn fe_f1; /* operand 1 */
|
|
struct fpn fe_f2; /* operand 2, if required */
|
|
struct fpn fe_f3; /* available storage for result */
|
|
};
|
|
|
|
/*
|
|
* Arithmetic functions.
|
|
* Each of these may modify its inputs (f1,f2) and/or the temporary.
|
|
* Each returns a pointer to the result and/or sets exceptions.
|
|
*/
|
|
struct fpn *fpu_add(struct fpemu *);
|
|
#define fpu_sub(fe) ((fe)->fe_f2.fp_sign ^= 1, fpu_add(fe))
|
|
struct fpn *fpu_mul(struct fpemu *);
|
|
struct fpn *fpu_div(struct fpemu *);
|
|
struct fpn *fpu_sqrt(struct fpemu *);
|
|
|
|
/*
|
|
* Other functions.
|
|
*/
|
|
|
|
/* Perform a compare instruction (with or without unordered exception). */
|
|
void fpu_compare(struct fpemu *, int);
|
|
|
|
/* Build a new Quiet NaN (sign=0, frac=all 1's). */
|
|
struct fpn *fpu_newnan(struct fpemu *);
|
|
|
|
/*
|
|
* Shift a number right some number of bits, taking care of round/sticky.
|
|
* Note that the result is probably not a well-formed number (it will lack
|
|
* the normal 1-bit mant[0]&FP_1).
|
|
*/
|
|
int fpu_shr(struct fpn *, int);
|
|
|
|
void fpu_explode(struct fpemu *, struct fpn *, int, int);
|
|
void fpu_implode(struct fpemu *, struct fpn *, int, u_int *);
|
|
|
|
#ifdef DEBUG
|
|
#define FPE_EX 0x1
|
|
#define FPE_INSN 0x2
|
|
#define FPE_OP 0x4
|
|
#define FPE_REG 0x8
|
|
extern int fpe_debug;
|
|
void fpu_dumpfpn(struct fpn *);
|
|
#define DPRINTF(x, y) if (fpe_debug & (x)) printf y
|
|
#define DUMPFPN(x, f) if (fpe_debug & (x)) fpu_dumpfpn((f))
|
|
#else
|
|
#define DPRINTF(x, y)
|
|
#define DUMPFPN(x, f)
|
|
#endif
|