about summary refs log tree commit diff
path: root/sysdeps/ia64/fpu/e_hypotf.S
blob: 633bb67e59cf801001e40662dd59134d9c9be24c (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
.file "hypotf.s"


// Copyright (c) 2000 - 2003, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * 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.
//
// * The name of Intel Corporation may not be used to endorse or promote
// products derived from this software without specific prior written
// permission.

// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 INTEL OR ITS 
// 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. 
// 
// Intel Corporation is the author of this code, and requests that all
// problem reports or change requests be submitted to it directly at 
// http://www.intel.com/software/products/opensource/libraries/num.htm.
//
//*********************************************************************
//
// History: 
// 02/02/00 hand-optimized
// 04/04/00 Unwind support added
// 06/26/00 new version
// 08/15/00 Bundle added after call to __libm_error_support to properly
//          set [the previously overwritten] GR_Parameter_RESULT.
// 05/20/02 Cleaned up namespace and sf0 syntax
// 02/10/03 Reordered header: .section, .global, .proc, .align
// 04/17/03 Added missing mutex directive
//
//*********************************************************************
//                           ___________
// Function:   hypotf(x,y) = |(x^2 + y^2) = for single precision values
//             x and y
//             Also provides cabsf functionality.
//
//*********************************************************************
//
// Resources Used:
//
//    Floating-Point Registers: f8  (Input and Return Value)
//                              f9  (Input)
//                              f6 -f15
//
//    General Purpose Registers:
//      r2-r3   (Scratch)
//      r32-r36 (Locals)
//      r37-r40 (Used to pass arguments to error handling routine)
//
//    Predicate Registers:      p6 - p10
//
//*********************************************************************
//
// IEEE Special Conditions:
//
//    All faults and exceptions should be raised correctly.
//    Overflow can occur.
//    hypotf(Infinity and anything) = +Infinity
//    hypotf(QNaN and anything) = QNaN
//    hypotf(SNaN and anything ) = QNaN
//
//*********************************************************************
//
// Implementation:
//  x2 = x * x   in double-extended
//  y2 = y * y   in double-extended
//  temp = x2 + y2   in double-extended
//  sqrt(temp) rounded to single precision 
//
//*********************************************************************

GR_SAVE_PFS         = r33
GR_SAVE_B0          = r34
GR_SAVE_GP          = r35
GR_Parameter_X      = r36
GR_Parameter_Y      = r37
GR_Parameter_RESULT = r38
GR_Parameter_TAG    = r39

FR_X                = f14
FR_Y                = f15
FR_RESULT           = f8

.section .text

LOCAL_LIBM_ENTRY(cabsf)
LOCAL_LIBM_END(cabsf)
GLOBAL_IEEE754_ENTRY(hypotf)
{.mfi
  alloc r32= ar.pfs,0,4,4,0
  // Compute x*x
  fma.s1 f10=f8,f8,f0
  // r2=bias-1
  mov r2=0xfffe 
}
{.mfi
  nop.m 0
  // y*y
  fma.s1 f11=f9,f9,f0
  nop.i 0;;
}

{ .mfi
     nop.m 0
//   Check if x is an Inf - if so return Inf even
//   if y is a NaN (C9X)
     fclass.m.unc p7, p6 = f8, 0x023
     nop.i 0
}
{.mfi
  nop.m 0
  // if possible overflow, copy f8 to f14
  // set Denormal, if necessary 
  // (p8) 
  fma.s.s0 f14=f8,f1,f0
  nop.i 0;;
}

{ .mfi
     nop.m 0
//   Check if y is an Inf - if so return Inf even
//   if x is a NaN (C9X)
     fclass.m.unc p8, p9 = f9, 0x023
	 nop.i 0
}
{ .mfi
     nop.m 0
//   For x=inf, multiply y by 1 to raise invalid on y an SNaN
//   (p7) fma.s0 f9=f9,f1,f0
     // copy f9 to f15; set Denormal, if necessary
	 fma.s.s0 f15=f9,f1,f0
     nop.i 0;;
}
{.mfi
  nop.m 0
  // is y Zero ?
  (p6) fclass.m p6,p0=f9,0x7
  nop.i 0;;
}
{.mfi
  nop.m 0
  // is x Zero ?
  (p9) fclass.m p9,p0=f8,0x7
  nop.i 0;;
}

{.mfi
  // f7=0.5
  setf.exp f7=r2
  // a=x2+y2
  fma.s1 f12=f10,f1,f11
  nop.i 0;;
}

{.mfi
  nop.m 0
  // x not NaN ?
  (p6) fclass.m p7,p0=f8,0x3f
  nop.i 0
}
{.mfi
  // 2*emax-2
  mov r2=0x100fb
  // f6=2
  fma.s1 f6=f1,f1,f1
  nop.i 0;;
}

{.mfi
  nop.m 0
  // y not NaN ?
  (p9) fclass.m p8,p0=f9,0x3f
  nop.i 0;;
}

.pred.rel "mutex",p7,p8
{.mfb
  nop.m 0
  // if f8=Infinity or f9=Zero, return |f8|
  (p7) fmerge.s f8=f0,f14
  (p7) br.ret.spnt b0
}
{.mfb
  nop.m 0
  // if f9=Infinity or f8=Zero, return |f9|
  (p8) fmerge.s f8=f0,f15
  (p8) br.ret.spnt b0;;
}

{ .mfi
	 nop.m 0
//   Identify Natvals, Infs, NaNs, and Zeros 
//   and return result
     fclass.m.unc p7, p0 = f12, 0x1E7
     nop.i 0
} 
{.mfi
  nop.m 0
  // z0=frsqrta(a)
  frsqrta.s1 f8,p6=f12
  nop.i 0;;
}

{.mfb
  // get exponent of x^2+y^2
  getf.exp r3=f12
  // if special case, set f8
  (p7) mov f8=f12
  (p7) br.ret.spnt b0;;
}


{.mfi
  nop.m 0
  // S0=a*z0
  (p6) fma.s1 f12=f12,f8,f0
  nop.i 0
}
{.mfi
  nop.m 0
  // H0=0.5*z0
  (p6) fma.s1 f10=f8,f7,f0
  nop.i 0;;
} 


{.mfi
  nop.m 0
  // f6=5/2
  fma.s1 f6=f7,f1,f6
  nop.i 0
}
{.mfi
  nop.m 0
  // f11=3/2
  fma.s1 f11=f7,f1,f1
  nop.i 0;;
}

{.mfi
  nop.m 0
  // d=0.5-S0*H0
  (p6) fnma.s1 f7=f12,f10,f7
  nop.i 0;;
}

{.mfi
  nop.m 0
  // P01=d+1
  (p6) fma.s1 f10=f1,f7,f1
  nop.i 0
}
{.mfi
  nop.m 0
  // P23=5/2*d+3/2
  (p6) fma.s1 f11=f6,f7,f11
  nop.i 0;;
}
{.mfi
  nop.m 0
  // d2=d*d
  (p6) fma.s1 f7=f7,f7,f0
  nop.i 0;;
}


{.mfi
  // Is x^2 + y^2 well less than the overflow 
  // threshold?
  (p6) cmp.lt.unc p7, p8 =  r3,r2
  // P=P01+d2*P23
  (p6) fma.s1 f10=f7,f11,f10
  nop.i 0;;
}

{.mfb
  nop.m 0
  // S=P*S0
  fma.s.s0 f8=f10,f12,f0
  // No overflow in this case
  (p7) br.ret.sptk b0;;
}

{ .mfi
     nop.m 0  
(p8) fsetc.s2 0x7F,0x42 
     // Possible overflow path, must detect by
     // Setting widest range exponent with prevailing
     // rounding mode.
     nop.i 0 ;;
}


{ .mfi
   // bias+0x400 (bias+EMAX+1)
   (p8) mov r2=0x1007f
   // S=P*S0
   (p8) fma.s.s2 f12=f10,f12,f0
   nop.i 0 ;;
}
{ .mfi
(p8) setf.exp f11 = r2
(p8) fsetc.s2 0x7F,0x40
//   Restore Original Mode in S2
     nop.i 0 ;;
}
{ .mfi
     nop.m 0 
(p8) fcmp.lt.unc.s1 p9, p10 =  f12, f11
     nop.i 0 ;;
}
{ .mib
     nop.m 0
     mov GR_Parameter_TAG = 47
	 // No overflow
(p9) br.ret.sptk b0;; 
}
GLOBAL_IEEE754_END(hypotf)
LOCAL_LIBM_ENTRY(__libm_error_region)
.prologue
{ .mii
        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
        mov   GR_Parameter_TAG = 47                   
.save   ar.pfs,GR_SAVE_PFS
        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
}
{ .mfi
.fframe 64
        add sp=-64,sp                           // Create new stack
        nop.f 0
        mov GR_SAVE_GP=gp                       // Save gp
};;
{ .mmi
        stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
        add GR_Parameter_X = 16,sp              // Parameter 1 address
.save   b0, GR_SAVE_B0
        mov GR_SAVE_B0=b0                       // Save b0
};;
.body
{ .mib
        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
        nop.b 0                                 // Parameter 3 address
}
{ .mib
        stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
        add   GR_Parameter_Y = -16,GR_Parameter_Y
        br.call.sptk b0=__libm_error_support#   // Call error handling function
};;
{ .mmi
        nop.m 0
        nop.m 0
        add   GR_Parameter_RESULT = 48,sp
};;
{ .mmi
        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
.restore sp
        add   sp = 64,sp                       // Restore stack pointer
        mov   b0 = GR_SAVE_B0                  // Restore return address
};;
{ .mib
        mov   gp = GR_SAVE_GP                  // Restore gp 
        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
        br.ret.sptk     b0                     // Return
};; 

LOCAL_LIBM_END(__libm_error_region)


.type   __libm_error_support#,@function
.global __libm_error_support#