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1.file "modf.s"
2
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3
4// Copyright (c) 2000 - 2003, Intel Corporation
8da2915d 5// All rights reserved.
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6//
7// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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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.
bb803bff 23
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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
bb803bff 38// http://www.intel.com/software/products/opensource/libraries/num.htm.
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39//
40// History
41//==============================================================
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42// 02/02/00 Initial version
43// 04/04/00 Improved speed, corrected result for NaN input
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44// 12/22/00 Fixed so inexact flag is never set, and invalid is not set for
45// qnans nor for inputs larger than 2^63.
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46// 05/20/02 Cleaned up namespace and sf0 syntax
47// 02/10/03 Reordered header: .section, .global, .proc, .align
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48//
49// API
50//==============================================================
51// double modf(double x, double *iptr)
52// break a floating point x number into fraction and an exponent
53//
54// input floating point f8, address in r33
55// output floating point f8 (x fraction), and *iptr (x integral part)
56//
57// OVERVIEW
58//==============================================================
59//
60// NO FRACTIONAL PART: HUGE
61// If
62// for double-extended
63// If the true exponent is greater than or equal 63
64// 1003e ==> 1003e -ffff = 3f = 63(dec)
65// for double
66// If the true exponent is greater than or equal 52
67// 10033 -ffff = 34 = 52(dec)
68// for single
69// If the true exponent is greater than or equal 23
70// 10016 -ffff = 17 = 23(dec)
71// then
72// we are already an integer (p9 true)
73
74// NO INTEGER PART: SMALL
75// Is f8 exponent less than register bias (that is, is it
76// less than 1). If it is, get the right sign of
77// zero and store this in iptr.
78
79// CALCULATION: NOT HUGE, NOT SMALL
80// To get the integer part
81// Take the floating-point input and truncate
82// then convert this integer to fp Call it MODF_INTEGER_PART
83
84// Subtract MODF_INTEGER_PART from MODF_NORM_F8 to get fraction part
85// Then put fraction part in f8
86// put integer part MODF_INTEGER_PART into *iptr
87
88// Registers used
89//==============================================================
90
91// predicate registers used:
92// p6 - p13
93
94// 0xFFFF 0x10033
95// -----------------------+-----------------+-------------
96// SMALL | NORMAL | HUGE
97// p11 --------------->|<----- p12 ----->| <-------------- p9
98// p10 --------------------------------->|
99// p13 --------------------------------------------------->|
100//
101
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102// floating-point registers used:
103MODF_NORM_F8 = f9
104MODF_FRACTION_PART = f10
105MODF_INTEGER_PART = f11
106MODF_INT_INTEGER_PART = f12
107
108
109// general registers used
110modf_signexp = r14
111modf_GR_no_frac = r15
112modf_GR_FFFF = r16
113modf_17_ones = r17
114modf_exp = r18
115// r33 = iptr
116
117
8da2915d 118.section .text
bb803bff 119GLOBAL_LIBM_ENTRY(modf)
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120
121// Main path is p9, p11, p8 FALSE and p12 TRUE
122
123// Assume input is normalized and get signexp
124// Normalize input just in case
125// Form exponent bias
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126{ .mfi
127 getf.exp modf_signexp = f8
bb803bff 128 fnorm.s0 MODF_NORM_F8 = f8
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129 addl modf_GR_FFFF = 0xffff, r0
130}
131// Get integer part of input
132// Form exponent mask
133{ .mfi
134 nop.m 999
135 fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = f8
136 mov modf_17_ones = 0x1ffff ;;
137}
138
139// Is x nan or inf?
140// qnan snan inf norm unorm 0 -+
141// 1 1 1 0 0 0 11 = 0xe3 NAN_INF
142// Form biased exponent where input only has an integer part
143{ .mfi
144 nop.m 999
145 fclass.m.unc p6,p13 = f8, 0xe3
146 addl modf_GR_no_frac = 0x10033, r0 ;;
147}
148
149// Mask to get exponent
150// Is x unnorm?
151// qnan snan inf norm unorm 0 -+
152// 0 0 0 0 1 0 11 = 0x0b UNORM
153// Set p13 to indicate calculation path, else p6 if nan or inf
154{ .mfi
155 and modf_exp = modf_17_ones, modf_signexp
156 fclass.m.unc p8,p0 = f8, 0x0b
157 nop.i 999 ;;
158}
159
160// p11 <== SMALL, no integer part, fraction is everyting
161// p9 <== HUGE, no fraction part, integer is everything
162// p12 <== NORMAL, fraction part and integer part
163{ .mii
164(p13) cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
165 nop.i 999
166 nop.i 999 ;;
167}
168
169// Is x inf? p6 if inf, p7 if nan
170{ .mfb
171(p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
172(p6) fclass.m.unc p6,p7 = f8, 0x23
bb803bff 173(p8) br.cond.spnt MODF_DENORM ;;
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174}
175
bb803bff 176MODF_COMMON:
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177// For HUGE set fraction to signed 0
178{ .mfi
179 nop.m 999
180(p9) fmerge.s f8 = f8,f0
181 nop.i 999
182}
183// For HUGE set integer part to normalized input
184{ .mfi
185 nop.m 999
bb803bff 186(p9) fnorm.d.s0 MODF_INTEGER_PART = MODF_NORM_F8
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187 nop.i 999 ;;
188}
189
190// For SMALL set fraction to normalized input, integer part to signed 0
191{ .mfi
192 nop.m 999
193(p11) fmerge.s MODF_INTEGER_PART = f8,f0
194 nop.i 999
195}
196{ .mfi
197 nop.m 999
bb803bff 198(p11) fnorm.d.s0 f8 = MODF_NORM_F8
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199 nop.i 999 ;;
200}
201
202// For NORMAL float the integer part
203{ .mfi
204 nop.m 999
205(p12) fcvt.xf MODF_INTEGER_PART = MODF_INT_INTEGER_PART
206 nop.i 999 ;;
207}
208
209// If x inf set integer part to INF, fraction to signed 0
210{ .mfi
211(p6) stfd [r33] = MODF_NORM_F8
212(p6) fmerge.s f8 = f8,f0
213 nop.i 999 ;;
214}
215
216// If x nan set integer and fraction parts to NaN (quietized)
217{ .mfi
218(p7) stfd [r33] = MODF_NORM_F8
219(p7) fmerge.s f8 = MODF_NORM_F8, MODF_NORM_F8
220 nop.i 999 ;;
221}
222
223{ .mmi
224(p9) stfd [r33] = MODF_INTEGER_PART
225 nop.m 999
226 nop.i 999 ;;
227}
228
229// For NORMAL compute fraction part
230{ .mfi
231(p11) stfd [r33] = MODF_INTEGER_PART
232(p12) fms.d.s0 f8 = MODF_NORM_F8,f1, MODF_INTEGER_PART
233 nop.i 999 ;;
234}
235
236// For NORMAL test if fraction part is zero; if so append correct sign
237{ .mfi
238 nop.m 999
bb803bff 239(p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
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240 nop.i 999 ;;
241}
242
243{ .mfi
244(p12) stfd [r33] = MODF_INTEGER_PART
245 nop.f 999
246 nop.i 999 ;;
247}
248
249// For NORMAL if fraction part is zero append sign of input
250{ .mfb
251 nop.m 999
252(p7) fmerge.s f8 = MODF_NORM_F8, f0
253 br.ret.sptk b0 ;;
254}
255
bb803bff 256MODF_DENORM:
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257// If x unorm get signexp from normalized input
258// If x unorm get integer part from normalized input
259{ .mfi
260 getf.exp modf_signexp = MODF_NORM_F8
261 fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = MODF_NORM_F8
262 nop.i 999 ;;
263}
264
265// If x unorm mask to get exponent
266{ .mmi
267 and modf_exp = modf_17_ones, modf_signexp ;;
268 cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
269 nop.i 999 ;;
270}
271
272{ .mfb
273(p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
274 nop.f 999
bb803bff 275 br.cond.spnt MODF_COMMON ;;
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276}
277
bb803bff 278GLOBAL_LIBM_END(modf)