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1 .file "rintf.s"
2
3
4 // Copyright (c) 2000 - 2003, Intel Corporation
5 // All rights reserved.
6 //
7 // Contributed 2000 by the Intel Numerics Group, Intel Corporation
8 //
9 // Redistribution and use in source and binary forms, with or without
10 // modification, are permitted provided that the following conditions are
11 // met:
12 //
13 // * Redistributions of source code must retain the above copyright
14 // notice, this list of conditions and the following disclaimer.
15 //
16 // * Redistributions in binary form must reproduce the above copyright
17 // notice, this list of conditions and the following disclaimer in the
18 // documentation and/or other materials provided with the distribution.
19 //
20 // * The name of Intel Corporation may not be used to endorse or promote
21 // products derived from this software without specific prior written
22 // permission.
23
24 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
25 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
26 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
27 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
28 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
29 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
30 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
31 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
32 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
33 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
34 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
35 //
36 // Intel Corporation is the author of this code, and requests that all
37 // problem reports or change requests be submitted to it directly at
38 // http://www.intel.com/software/products/opensource/libraries/num.htm.
39 //
40 // History
41 //==============================================================
42 // 02/02/00 Initial version
43 // 02/08/01 Corrected behavior for all rounding modes.
44 // 05/20/02 Cleaned up namespace and sf0 syntax
45 // 01/20/03 Improved performance
46 //==============================================================
47
48 // API
49 //==============================================================
50 // float rintf(float x)
51 //==============================================================
52
53 // general input registers:
54 // r14 - r21
55
56 rSignexp = r14
57 rExp = r15
58 rExpMask = r16
59 rBigexp = r17
60 rM1 = r18
61 rFpsr = r19
62 rRcs0 = r20
63 rRcs0Mask = r21
64
65 // floating-point registers:
66 // f8 - f11
67
68 fXInt = f9
69 fNormX = f10
70 fTmp = f11
71
72 // predicate registers used:
73 // p6 - p10
74
75 // Overview of operation
76 //==============================================================
77 // float rintf(float x)
78 // Return an integer value (represented as a float) that is x
79 // rounded to integer in current rounding mode
80 // Inexact is set if x != rint(x)
81 //==============================================================
82
83 // double_extended
84 // if the exponent is > 1003e => 3F(true) = 63(decimal)
85 // we have a significand of 64 bits 1.63-bits.
86 // If we multiply by 2^63, we no longer have a fractional part
87 // So input is an integer value already.
88
89 // double
90 // if the exponent is >= 10033 => 34(true) = 52(decimal)
91 // 34 + 3ff = 433
92 // we have a significand of 53 bits 1.52-bits. (implicit 1)
93 // If we multiply by 2^52, we no longer have a fractional part
94 // So input is an integer value already.
95
96 // single
97 // if the exponent is > 10016 => 17(true) = 23(decimal)
98 // we have a significand of 24 bits 1.23-bits. (implicit 1)
99 // If we multiply by 2^23, we no longer have a fractional part
100 // So input is an integer value already.
101
102 .section .text
103 GLOBAL_IEEE754_ENTRY(rintf)
104
105 { .mfi
106 getf.exp rSignexp = f8 // Get signexp, recompute if unorm
107 fclass.m p7,p0 = f8, 0x0b // Test x unorm
108 addl rBigexp = 0x10016, r0 // Set exponent at which is integer
109 }
110 { .mfi
111 mov rM1 = -1 // Set all ones
112 fcvt.fx.s1 fXInt = f8 // Convert to int in significand
113 mov rExpMask = 0x1FFFF // Form exponent mask
114 }
115 ;;
116
117 { .mfi
118 mov rFpsr = ar40 // Read fpsr -- check rc.s0
119 fclass.m p6,p0 = f8, 0x1e3 // Test x natval, nan, inf
120 nop.i 0
121 }
122 { .mfb
123 setf.sig fTmp = rM1 // Make const for setting inexact
124 fnorm.s1 fNormX = f8 // Normalize input
125 (p7) br.cond.spnt RINT_UNORM // Branch if x unorm
126 }
127 ;;
128
129
130 RINT_COMMON:
131 // Return here from RINT_UNORM
132 { .mfb
133 and rExp = rSignexp, rExpMask // Get biased exponent
134 (p6) fma.s.s0 f8 = f8, f1, f0 // Result if x natval, nan, inf
135 (p6) br.ret.spnt b0 // Exit if x natval, nan, inf
136 }
137 ;;
138
139 { .mfi
140 mov rRcs0Mask = 0x0c00 // Mask for rc.s0
141 fcvt.xf f8 = fXInt // Result assume |x| < 2^23
142 cmp.ge p7,p8 = rExp, rBigexp // Is |x| >= 2^23?
143 }
144 ;;
145
146 // We must correct result if |x| >= 2^23
147 { .mfi
148 nop.m 0
149 (p7) fma.s.s0 f8 = fNormX, f1, f0 // If |x| >= 2^23, result x
150 nop.i 0
151 }
152 ;;
153
154 { .mfi
155 nop.m 0
156 fcmp.eq.unc.s1 p0, p9 = f8, fNormX // Is result = x ?
157 nop.i 0
158 }
159 { .mfi
160 nop.m 0
161 (p8) fmerge.s f8 = fNormX, f8 // Make sure sign rint(x) = sign x
162 nop.i 0
163 }
164 ;;
165
166 { .mfi
167 (p8) and rRcs0 = rFpsr, rRcs0Mask // Get rounding mode for sf0
168 nop.f 0
169 nop.i 0
170 }
171 ;;
172
173 // If |x| < 2^23 we must test for other rounding modes
174 { .mfi
175 (p8) cmp.ne.unc p10,p0 = rRcs0, r0 // Test for other rounding modes
176 (p9) fmpy.s0 fTmp = fTmp, fTmp // Dummy to set inexact
177 nop.i 0
178 }
179 { .mbb
180 nop.m 0
181 (p10) br.cond.spnt RINT_NOT_ROUND_NEAREST // Branch if not round nearest
182 br.ret.sptk b0 // Exit main path if round nearest
183 }
184 ;;
185
186
187
188 RINT_UNORM:
189 // Here if x unorm
190 { .mfb
191 getf.exp rSignexp = fNormX // Get signexp, recompute if unorm
192 fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
193 br.cond.sptk RINT_COMMON // Return to main path
194 }
195 ;;
196
197 RINT_NOT_ROUND_NEAREST:
198 // Here if not round to nearest, and |x| < 2^23
199 // Set rounding mode of s2 to that of s0, and repeat the conversion using s2
200 { .mfi
201 nop.m 0
202 fsetc.s2 0x7f, 0x40
203 nop.i 0
204 }
205 ;;
206
207 { .mfi
208 nop.m 0
209 fcvt.fx.s2 fXInt = fNormX // Convert to int in significand
210 nop.i 0
211 }
212 ;;
213
214 { .mfi
215 nop.m 0
216 fcvt.xf f8 = fXInt // Expected result
217 nop.i 0
218 }
219 ;;
220
221 // Be sure sign of result = sign of input. Fixes cases where result is 0.
222 { .mfb
223 nop.m 0
224 fmerge.s f8 = fNormX, f8
225 br.ret.sptk b0 // Exit main path
226 }
227 ;;
228
229 GLOBAL_IEEE754_END(rintf)