1.file "ilogb.s"
2
3
4// Copyright (c) 2000 - 2003, Intel Corporation
5// All rights reserved.
6//
7//
8// Redistribution and use in source and binary forms, with or without
9// modification, are permitted provided that the following conditions are
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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//
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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,
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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// 02/03/00 Initial version
42// 05/26/00 Fix bug when x a double-extended denormal;
43//          if x=0 call error routine, per C9X
44// 08/15/00 Bundle added after call to __libm_error_support to properly
45//          set [the previously overwritten] GR_Parameter_RESULT.
46// 01/20/01 Fixed result for x=0, corrected error tag value.
47// 05/20/02 Cleaned up namespace and sf0 syntax
48// 01/20/03 Improved performance
49//
50// API
51//==============================================================
52// int ilogb( double x );
53//
54// Overview of operation
55//==============================================================
56// The ilogb function extracts the exponent of x as an integer
57// and returns it in r8
58//
59// ilogb is similar to logb but differs in the following ways:
60//         +-inf
61//            ilogb: returns INT_MAX
62//             logb: returns +inf
63//         Nan  returns FP_LOGBNAN (which is either INT_MAX or INT_MIN)
64//            ilogb: returns INT_MAX (7fffffff)
65//             logb: returns QNAN (quietized SNAN)
66//         0    returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX)
67//            ilogb: returns -INT_MAX (80000001)
68//             logb: returns -inf, raises the divide-by-zero exception,
69//                   and calls libm_error_support to set domain error
70//
71// Registers used
72//==============================================================
73// general registers used:
74// r26 -> r39
75// r36 -> r39 used as parameters to error path
76//
77// predicate registers used:
78// p6 -> p10
79// floating-point registers used:
80// f9, f10, f11
81// f8, input
82
83rExpBias            = r26
84rExpMask            = r27
85rSignexp_x          = r28
86rExp_x              = r29
87rIntMax             = r30
88rExp_2to64          = r31
89
90GR_SAVE_PFS         = r32
91rTrialResult        = r33
92GR_SAVE_B0          = r34
93GR_SAVE_GP          = r35
94
95GR_Parameter_X      = r36
96GR_Parameter_Y      = r37
97GR_Parameter_RESULT = r38
98GR_Parameter_TAG    = r39
99
100fTmp                = f9
101fNorm_x             = f10
102f2to64              = f11
103
104.section .text
105GLOBAL_LIBM_ENTRY(ilogb)
106
107// X NORMAL
108// TrueExp_x = exp(f8) - 0xffff
109// r8 = TrueExp_x
110{ .mfi
111      getf.exp        rSignexp_x = f8
112      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
113      mov             rExpBias = 0xffff  // Exponent bias
114}
115{ .mfi
116      nop.m           0
117      fnorm.s1        fNorm_x = f8
118      mov             rExpMask = 0x1ffff // Exponent mask
119}
120;;
121
122// Form signexp of 2^64 in case need to scale denormal
123{ .mfb
124      mov             rExp_2to64 = 0x1003f
125      fclass.m        p6,p9 = f8, 0x1e3  // Test x natval, nan, inf
126(p8)  br.cond.spnt    ILOGB_DENORM       // Branch if x unorm
127}
128;;
129
130ILOGB_COMMON:
131// Return here from ILOGB_DENORM
132{ .mfi
133      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
134      fclass.m        p7,p10 = f8, 0x07   // Test x zero
135      nop.i           0
136}
137{ .mlx
138      nop.m           0
139      movl            rIntMax = 0x000000007fffffff // Form INT_MAX
140}
141;;
142
143.pred.rel "mutex",p6,p9
144{ .mfi
145(p9)  sub             r8 = rExp_x, rExpBias // Get true exponent for normal path
146(p6)  fma.s0          fTmp = f8, f8, f0     // Dummy to set Invalid flag
147(p6)  mov             r8 = rIntMax          // If nan, inf, return INT_MAX
148}
149{ .mbb
150      nop.m           0
151(p7)  br.cond.spnt    ILOGB_ZERO            // Branch if x zero
152(p10) br.ret.sptk     b0                    // Exit if x not zero
153}
154;;
155
156
157ILOGB_DENORM:
158// Form 2^64 in case need to scale denormal
159// Check to see if double-extended denormal
160{ .mfi
161      setf.exp        f2to64 = rExp_2to64
162      fclass.m        p8,p0 = fNorm_x, 0x0b
163      nop.i           0
164}
165;;
166
167{ .mfi
168      nop.m           0
169      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
170      nop.i           0
171}
172;;
173
174// If double-extended denormal add 64 to exponent bias for scaling
175// If double-extended denormal form x * 2^64 which is normal
176{ .mfi
177(p8)  add             rExpBias = 64, rExpBias
178(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
179      nop.i           0
180}
181;;
182
183// Logic is the same as normal path but use normalized input
184{ .mib
185      getf.exp        rSignexp_x = fNorm_x
186      nop.i           0
187      br.cond.sptk    ILOGB_COMMON             // Return to main path
188}
189;;
190
191ILOGB_ZERO:
192// Here if x zero
193// Return INT_MIN, call error support
194
195{ .mlx
196      alloc           r32=ar.pfs,1,3,4,0
197      movl            rTrialResult = 0x0000000080000000
198}
199{ .mib
200      mov             GR_Parameter_TAG = 157  // Error code
201      nop.i           0
202      br.cond.sptk    __libm_error_region     // Call error support
203}
204;;
205
206GLOBAL_LIBM_END(ilogb)
207
208
209LOCAL_LIBM_ENTRY(__libm_error_region)
210.prologue
211
212{ .mfi
213        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
214        nop.f 0
215.save   ar.pfs,GR_SAVE_PFS
216        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
217}
218{ .mfi
219.fframe 64
220        add sp=-64,sp                         // Create new stack
221        nop.f 0
222        mov GR_SAVE_GP=gp                     // Save gp
223};;
224
225{ .mmi
226        stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
227        add GR_Parameter_X    = 16,sp         // Parameter 1 address
228.save   b0, GR_SAVE_B0
229        mov GR_SAVE_B0=b0                     // Save b0
230};;
231
232.body
233{ .mib
234        stfd [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
235        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
236        nop.b 0
237}
238{ .mib
239        stfd [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
240        add   GR_Parameter_Y = -16,GR_Parameter_Y
241        br.call.sptk b0=__libm_error_support# // Call error handling function
242};;
243
244{ .mmi
245        add   GR_Parameter_RESULT = 48,sp
246        nop.m 0
247        nop.i 0
248};;
249
250{ .mmi
251        mov   r8 = rTrialResult
252.restore sp
253        add   sp = 64,sp                       // Restore stack pointer
254        mov   b0 = GR_SAVE_B0                  // Restore return address
255};;
256
257{ .mib
258        mov   gp = GR_SAVE_GP                  // Restore gp
259        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
260        br.ret.sptk   b0
261};;
262
263LOCAL_LIBM_END(__libm_error_region)
264
265
266.type   __libm_error_support#,@function
267.global __libm_error_support#
268