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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /REORG.TODO/sysdeps/ia64/fpu/e_remainder.S
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
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Prepare for radical source tree reorganization. zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage
directory, REORG.TODO, except for files that will certainly still
exist in their current form at top level when we're done (COPYING,
COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which
are moved to the new directory OldChangeLogs, instead), and the
generated file INSTALL (which is just deleted; in the new order, there
will be no generated files checked into version control).
Diffstat (limited to 'REORG.TODO/sysdeps/ia64/fpu/e_remainder.S')
-rw-r--r--REORG.TODO/sysdeps/ia64/fpu/e_remainder.S589
1 files changed, 589 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ia64/fpu/e_remainder.S b/REORG.TODO/sysdeps/ia64/fpu/e_remainder.S
new file mode 100644
index 0000000000..3cd5aac578
--- /dev/null
+++ b/REORG.TODO/sysdeps/ia64/fpu/e_remainder.S
@@ -0,0 +1,589 @@
+.file "remainder.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 Initial version
+// 03/02/00 New Algorithm
+// 04/04/00 Unwind support added
+// 07/21/00 Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 11/29/00 Set FR_Y to f9
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//====================================================================
+// double remainder(double,double);
+//
+// Overview of operation
+//====================================================================
+//  remainder(a,b)=a-i*b,
+//  where i is an integer such that, if b!=0 and a is finite,
+//  |a/b-i|<=1/2. If |a/b-i|=1/2, i is even.
+//
+// Algorithm
+//====================================================================
+// a). eliminate special cases
+// b). if |a/b|<0.25 (first quotient estimate), return a
+// c). use single precision divide algorithm to get quotient q
+//     rounded to 24 bits of precision
+// d). calculate partial remainders (using both q and q-ulp);
+//     select one and RZ(a/b) based on the sign of |a|-|b|*q
+// e). if the exponent difference (exponent(a)-exponent(b))
+//     is less than 24 (quotient estimate<2^{24}-2), use RZ(a/b)
+//     and sticky bits to round to integer; exit loop and
+//     calculate final remainder
+// f). if exponent(a)-exponent(b)>=24, select new value of a as
+//     the partial remainder calculated using RZ(a/b);
+//     repeat from c).
+//
+// Special cases
+//====================================================================
+// a=+/- Inf, or b=+/-0: return NaN, call libm_error_support
+// a=NaN or b=NaN: return NaN
+
+// Registers used
+//====================================================================
+// Predicate registers: p6-p14
+// General registers:   r2,r3,r28,r29,r32 (ar.pfs), r33-r39
+// Floating point registers: f6-f15,f32
+
+GR_SAVE_B0                    = r33
+GR_SAVE_PFS                   = r34
+GR_SAVE_GP                    = r35
+GR_SAVE_SP                    = r36
+
+GR_Parameter_X                = r37
+GR_Parameter_Y                = r38
+GR_Parameter_RESULT           = r39
+GR_Parameter_TAG              = r40
+
+FR_X             = f10
+FR_Y             = f9
+FR_RESULT        = f8
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(remainder)
+
+// inputs in f8, f9
+// result in f8
+
+{ .mfi
+  alloc r32=ar.pfs,1,4,4,0
+  // f13=|a|
+  fmerge.s f13=f0,f8
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // f14=|b|
+  fmerge.s f14=f0,f9
+  nop.i 0;;
+}
+ {.mlx
+  mov r28=0x2ffdd
+  // r2=2^{23}
+  movl r3=0x4b000000;;
+}
+
+// Y +-NAN, +-inf, +-0?     p11
+{ .mfi
+	  setf.exp f32=r28
+      fclass.m.unc  p11,p0 = f9, 0xe7
+      nop.i 999
+}
+// qnan snan inf norm     unorm 0 -+
+// 1    1    1   0        0     0 11
+// e                      3
+// X +-NAN, +-inf, ?        p9
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p9,p0 = f8, 0xe3
+      nop.i 999;;
+}
+
+{.mfi
+  nop.m 0
+  mov f12=f0
+  nop.i 0
+}
+{ .mfi
+  // set p7=1
+  cmp.eq.unc p7,p0=r0,r0
+  // Step (1)
+  // y0 = 1 / b in f10
+  frcpa.s1 f10,p6=f13,f14
+  nop.i 0;;
+}
+
+{.bbb
+  (p9) br.cond.spnt FREM_X_NAN_INF
+  (p11) br.cond.spnt FREM_Y_NAN_INF_ZERO
+  nop.b 0
+}  {.mfi
+   nop.m 0
+   // set D flag if a (f8) is denormal
+   fnma.s0 f6=f8,f1,f8
+   nop.i 0;;
+}
+
+
+remloop24:
+  { .mfi
+  nop.m 0
+  // Step (2)
+  // q0 = a * y0 in f12
+  (p6) fma.s1 f12=f13,f10,f0
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (3)
+  // e0 = 1 - b * y0 in f7
+  (p6) fnma.s1 f7=f14,f10,f1
+  nop.i 0;;
+}  {.mlx
+  nop.m 0
+  // r2=1.25*2^{-24}
+  movl r2=0x33a00000;;
+}
+
+{.mfi
+  nop.m 0
+  // q1=q0*(1+e0)
+  (p6) fma.s1 f15=f12,f7,f12
+  nop.i 0
+}
+{ .mfi
+  nop.m 0
+  // Step (4)
+  // e1 = e0 * e0 + E in f7
+  (p6) fma.s1 f7=f7,f7,f32
+  nop.i 0;;
+}
+ {.mii
+  (p7) getf.exp r29=f12
+  (p7) mov r28=0xfffd
+  nop.i 0;;
+}
+ { .mfi
+  // f12=2^{23}
+  setf.s f12=r3
+  // Step (5)
+  // q2 = q1 + e1 * q1 in f11
+  (p6) fma.s.s1 f11=f7,f15,f15
+  nop.i 0
+} { .mfi
+   nop.m 0
+  // Step (6)
+  // q2 = q1 + e1 * q1 in f6
+  (p6) fma.s1 f6=f7,f15,f15
+  nop.i 0;;
+}
+
+ {.mmi
+  // f15=1.25*2^{-24}
+  setf.s f15=r2
+  // q<1/4 ? (i.e. expon< -2)
+  (p7) cmp.gt p7,p0=r28,r29
+  nop.i 0;;
+}
+
+{.mfb
+  // r29= -32+bias
+  mov r29=0xffdf
+ // if |a/b|<1/4, set D flag before returning
+ (p7) fma.d.s0 f9=f9,f0,f8
+  nop.b 0;;
+}
+ {.mfb
+ nop.m 0
+ // can be combined with bundle above if sign of 0 or
+ // FTZ enabled are not important
+ (p7) fmerge.s f8=f8,f9
+ // return if |a|<4*|b| (estimated quotient < 1/4)
+ (p7) br.ret.spnt b0;;
+}
+  {.mfi
+  // f7=2^{-32}
+  setf.exp f7=r29
+  // set f8 to current a value | sign
+  fmerge.s f8=f8,f13
+  nop.i 0;;
+}
+
+
+  {.mfi
+  getf.exp r28=f6
+  // last step ? (q<2^{23})
+  fcmp.lt.unc.s1 p0,p12=f6,f12
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // r=a-b*q
+  fnma.s1 f6=f14,f11,f13
+  nop.i 0
+} {.mfi
+  // r2=23+bias
+  mov r2=0xffff+23
+  // q'=q-q*(1.25*2^{-24})   (q'=q-ulp)
+  fnma.s.s1 f15=f11,f15,f11
+  nop.i 0;;
+}
+  {.mmi
+  nop.m 0
+  cmp.eq p11,p14=r2,r28
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p11,p14
+  {.mfi
+  nop.m 0
+  // if exp_q=2^23, then r=a-b*2^{23}
+  (p11) fnma.s1 f13=f12,f14,f13
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // r2=a-b*q'
+  (p14) fnma.s1 f13=f14,f15,f13
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // r>0 iff q=RZ(a/b) and inexact
+  fcmp.gt.unc.s1 p8,p0=f6,f0
+  nop.i 0
+} {.mfi
+  nop.m 0
+  // r<0 iff q'=RZ(a/b) and inexact
+  (p14) fcmp.lt.unc.s1 p9,p10=f6,f0
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p9
+  {.mfi
+   nop.m 0
+  // (p8) Q=q+(last iteration ? sticky bits:0)
+  // i.e. Q=q+q*x  (x=2^{-32} or 0)
+  (p8) fma.s1 f11=f11,f7,f11
+  nop.i 0
+} {.mfi
+  nop.m 0
+  // (p9) Q=q'+(last iteration ? sticky bits:0)
+  // i.e. Q=q'+q'*x  (x=2^{-32} or 0)
+  (p9) fma.s1 f11=f15,f7,f15
+  nop.i 0;;
+}
+
+  {.mfb
+  nop.m 0
+  //  (p9) set r=r2 (new a, if not last iteration)
+  // (p10) new a =r
+  (p10) mov f13=f6
+  (p12) br.cond.sptk remloop24;;
+}
+
+// last iteration
+  {.mfi
+  nop.m 0
+  // set f9=|b|*sgn(a)
+  fmerge.s f9=f8,f9
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // round to integer
+  fcvt.fx.s1 f11=f11
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // save sign of a
+  fmerge.s f7=f8,f8
+  nop.i 0
+} {.mfi
+  nop.m 0
+  // normalize
+  fcvt.xf f11=f11
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // This can be removed if sign of 0 is not important
+  // get remainder using sf1
+  fnma.d.s1 f12=f9,f11,f8
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // get remainder
+  fnma.d.s0 f8=f9,f11,f8
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // f12=0?
+  // This can be removed if sign of 0 is not important
+  fcmp.eq.unc.s1 p8,p0=f12,f0
+  nop.i 0;;
+}
+  {.mfb
+  nop.m 0
+  // if f8=0, set sign correctly
+  // This can be removed if sign of 0 is not important
+  (p8) fmerge.s f8=f7,f8
+  // return
+  br.ret.sptk b0;;
+}
+
+
+FREM_X_NAN_INF:
+
+// Y zero ?
+{.mfi
+  nop.m 0
+  fma.s1 f10=f9,f1,f0
+  nop.i 0;;
+}
+{.mfi
+ nop.m 0
+ fcmp.eq.unc.s1 p11,p0=f10,f0
+ nop.i 0;;
+}
+{.mib
+  nop.m 0
+  nop.i 0
+  // if Y zero
+  (p11) br.cond.spnt FREM_Y_ZERO;;
+}
+
+// X infinity? Return QNAN indefinite
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p8,p0 = f8, 0x23
+      nop.i 999
+}
+// X infinity? Return QNAN indefinite
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p11,p0 = f8, 0x23
+      nop.i 999;;
+}
+// Y NaN ?
+{.mfi
+	 nop.m 999
+(p8) fclass.m.unc p0,p8=f9,0xc3
+	 nop.i 0;;
+}
+{.mfi
+	nop.m 999
+	// also set Denormal flag if necessary
+(p8) fma.s0 f9=f9,f1,f0
+    nop.i 0
+}
+{ .mfi
+      nop.m 999
+(p8)  frcpa.s0 f8,p7 = f8,f8
+      nop.i 999 ;;
+}
+
+{.mfi
+      nop.m 999
+(p11) mov f10=f8
+	  nop.i 0
+}
+{ .mfi
+      nop.m 999
+(p8) fma.d.s0 f8=f8,f1,f0
+	  nop.i 0 ;;
+}
+
+{ .mfb
+      nop.m 999
+      frcpa.s0 f8,p7=f8,f9
+	  (p11) br.cond.spnt EXP_ERROR_RETURN;;
+}
+{ .mib
+	nop.m 0
+	nop.i 0
+	br.ret.spnt    b0 ;;
+}
+
+
+FREM_Y_NAN_INF_ZERO:
+
+// Y INF
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p7,p0 = f9, 0x23
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p7)  fma.d.s0 f8=f8,f1,f0
+(p7)  br.ret.spnt    b0 ;;
+}
+
+// Y NAN?
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p9,p0 = f9, 0xc3
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p9)  fma.d.s0 f8=f9,f1,f0
+(p9)  br.ret.spnt    b0 ;;
+}
+
+FREM_Y_ZERO:
+// Y zero? Must be zero at this point
+// because it is the only choice left.
+// Return QNAN indefinite
+
+// X NAN?
+{ .mfi
+      nop.m 999
+      fclass.m.unc  p9,p10 = f8, 0xc3
+      nop.i 999 ;;
+}
+{ .mfi
+      nop.m 999
+(p10)  fclass.nm  p9,p10 = f8, 0xff
+      nop.i 999 ;;
+}
+
+{.mfi
+ nop.m 999
+ (p9) frcpa.s0 f11,p7=f8,f0
+ nop.i 0;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)  frcpa.s0         f11,p7 = f0,f0
+	  nop.i 999;;
+}
+
+{ .mfi
+      nop.m 999
+      fmerge.s      f10 = f8, f8
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+      fma.d.s0 f8=f11,f1,f0
+      nop.i 999
+}
+
+
+EXP_ERROR_RETURN:
+
+{ .mib
+      mov   GR_Parameter_TAG = 124
+	  nop.i 999
+      br.sptk __libm_error_region;;
+}
+
+GLOBAL_IEEE754_END(remainder)
+weak_alias (__remainder, drem)
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.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
+        stfd [GR_Parameter_Y] = FR_Y,16         // Save 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
+        stfd [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
+        stfd [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
+        ldfd  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#