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1.file "floor.s"
2
3
4// Copyright (c) 2000 - 2003, Intel Corporation
5// All rights reserved.
6//
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7//
8// Redistribution and use in source and binary forms, with or without
9// modification, are permitted provided that the following conditions are
10// met:
11//
12// * Redistributions of source code must retain the above copyright
13// notice, this list of conditions and the following disclaimer.
14//
15// * Redistributions in binary form must reproduce the above copyright
16// notice, this list of conditions and the following disclaimer in the
17// documentation and/or other materials provided with the distribution.
18//
19// * The name of Intel Corporation may not be used to endorse or promote
20// products derived from this software without specific prior written
21// permission.
22
23// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
24// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
25// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
26// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
27// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
28// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
29// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
30// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
31// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
32// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
33// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
34//
35// Intel Corporation is the author of this code, and requests that all
36// problem reports or change requests be submitted to it directly at
37// http://www.intel.com/software/products/opensource/libraries/num.htm.
38//
39// History
40//==============================================================
41// 02/02/00 Initial version
42// 03/22/00 Updated to improve performance
43// 06/13/00 Improved speed, fixed setting of inexact flag
44// 06/27/00 Eliminated incorrect invalid flag setting
45// 02/07/01 Corrected sign of zero result in round to -inf mode
46// 05/20/02 Cleaned up namespace and sf0 syntax
47// 01/28/03 Improved performance
48//==============================================================
49
50// API
51//==============================================================
52// double floor(double x)
53//==============================================================
54
55// general input registers:
56// r14 - r18
57
58rSignexp = r14
59rExp = r15
60rExpMask = r16
61rBigexp = r17
62rM1 = r18
63
64// floating-point registers:
65// f8 - f13
66
67fXInt = f9
68fNormX = f10
69fTmp = f11
70fAdj = f12
71fPreResult = f13
72
73// predicate registers used:
74// p6 - p9
75
76// Overview of operation
77//==============================================================
78// double floor(double x)
79// Return an integer value (represented as a double) that is the largest
80// value not greater than x
81// This is x rounded toward -infinity to an integral value.
82// Inexact is set if x != floor(x)
83//==============================================================
84
85// double_extended
86// if the exponent is > 1003e => 3F(true) = 63(decimal)
87// we have a significand of 64 bits 1.63-bits.
88// If we multiply by 2^63, we no longer have a fractional part
89// So input is an integer value already.
90
91// double
92// if the exponent is >= 10033 => 34(true) = 52(decimal)
93// 34 + 3ff = 433
94// we have a significand of 53 bits 1.52-bits. (implicit 1)
95// If we multiply by 2^52, we no longer have a fractional part
96// So input is an integer value already.
97
98// single
99// if the exponent is > 10016 => 17(true) = 23(decimal)
100// we have a significand of 24 bits 1.23-bits. (implicit 1)
101// If we multiply by 2^23, we no longer have a fractional part
102// So input is an integer value already.
103
104
105.section .text
106GLOBAL_IEEE754_ENTRY(floor)
107
108{ .mfi
109 getf.exp rSignexp = f8 // Get signexp, recompute if unorm
110 fclass.m p7,p0 = f8, 0x0b // Test x unorm
111 addl rBigexp = 0x10033, r0 // Set exponent at which is integer
112}
113{ .mfi
114 mov rM1 = -1 // Set all ones
115 fcvt.fx.trunc.s1 fXInt = f8 // Convert to int in significand
116 mov rExpMask = 0x1FFFF // Form exponent mask
117}
118;;
119
120{ .mfi
121 nop.m 0
122 fcmp.lt.s1 p8,p9 = f8, f0 // Test x < 0
123 nop.i 0
124}
125{ .mfb
126 setf.sig fTmp = rM1 // Make const for setting inexact
127 fnorm.s1 fNormX = f8 // Normalize input
128(p7) br.cond.spnt FLOOR_UNORM // Branch if x unorm
129}
130;;
131
132FLOOR_COMMON:
133// Return here from FLOOR_UNORM
134{ .mfi
135 nop.m 0
136 fclass.m p6,p0 = f8, 0x1e7 // Test x natval, nan, inf, 0
137 nop.i 0
138}
139;;
140
141.pred.rel "mutex",p8,p9
142{ .mfi
143 nop.m 0
144(p8) fnma.s1 fAdj = f1, f1, f0 // If x < 0, adjustment is -1
145 nop.i 0
146}
147{ .mfi
148 nop.m 0
149(p9) fma.s1 fAdj = f0, f0, f0 // If x > 0, adjustment is 0
150 nop.i 0
151}
152;;
153
154{ .mfi
155 nop.m 0
156 fcvt.xf fPreResult = fXInt // trunc(x)
157 nop.i 0
158}
159{ .mfb
160 nop.m 0
161(p6) fma.d.s0 f8 = f8, f1, f0 // Result if x natval, nan, inf, 0
162(p6) br.ret.spnt b0 // Exit if x natval, nan, inf, 0
163}
164;;
165
166{ .mmi
167 and rExp = rSignexp, rExpMask // Get biased exponent
168;;
169 cmp.ge p7,p6 = rExp, rBigexp // Is |x| >= 2^52?
170 nop.i 0
171}
172;;
173
174{ .mfi
175 nop.m 0
176(p6) fma.d.s0 f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^52
177 nop.i 0
178}
179{ .mfi
180 nop.m 0
181(p7) fma.d.s0 f8 = fNormX, f1, f0 // Result, if |x| >= 2^52
182 nop.i 0
183}
184;;
185
186{ .mfi
187 nop.m 0
188(p6) fcmp.eq.unc.s1 p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
189 nop.i 0
190}
191;;
192
193{ .mfi
194 nop.m 0
195(p9) fmpy.s0 fTmp = fTmp, fTmp // Dummy to set inexact
196 nop.i 0
197}
198{ .mfb
199 nop.m 0
200(p8) fma.d.s0 f8 = fNormX, f1, f0 // If x int, result normalized x
201 br.ret.sptk b0 // Exit main path, 0 < |x| < 2^52
202}
203;;
204
205
206FLOOR_UNORM:
207// Here if x unorm
208{ .mfb
209 getf.exp rSignexp = fNormX // Get signexp, recompute if unorm
210 fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
211 br.cond.sptk FLOOR_COMMON // Return to main path
212}
213;;
214
215GLOBAL_IEEE754_END(floor)
0609ec0a 216libm_alias_double_other (__floor, floor)