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authorTheo de Raadt <deraadt@cvs.openbsd.org>1995-10-18 08:53:40 +0000
committerTheo de Raadt <deraadt@cvs.openbsd.org>1995-10-18 08:53:40 +0000
commitd6583bb2a13f329cf0332ef2570eb8bb8fc0e39c (patch)
treeece253b876159b39c620e62b6c9b1174642e070e /sys/arch/sparc/fpu/fpu_emu.h
initial import of NetBSD tree
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+/* $NetBSD: fpu_emu.h,v 1.2 1994/11/20 20:52:39 deraadt 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_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 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) { \
+ register struct fpn *swap; \
+ swap = (x), (x) = (y), (y) = swap; \
+}
+
+/*
+ * Emulator state.
+ */
+struct fpemu {
+ struct fpstate *fe_fpstate; /* registers, etc */
+ int fe_fsr; /* fsr copy (modified during op) */
+ int fe_cx; /* 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);
+
+/* Conversion to and from internal format -- note asymmetry. */
+int fpu_itofpn(struct fpn *, u_int);
+int fpu_stofpn(struct fpn *, u_int);
+int fpu_dtofpn(struct fpn *, u_int, u_int);
+int fpu_xtofpn(struct fpn *, u_int, u_int, u_int, u_int);
+
+u_int fpu_fpntoi(struct fpemu *, struct fpn *);
+u_int fpu_fpntos(struct fpemu *, struct fpn *);
+u_int fpu_fpntod(struct fpemu *, struct fpn *);
+u_int fpu_fpntox(struct fpemu *, struct fpn *);
+
+void fpu_explode(struct fpemu *, struct fpn *, int, int);
+void fpu_implode(struct fpemu *, struct fpn *, int, u_int *);