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+.file "sqrtl.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
+// 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
+//
+//********************************************************************
+//
+// Function:   Combined sqrtl(x), where
+//                         _
+//             sqrtl(x) = |x, for double-extended precision x values
+//
+//********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8  (Input and Return Value)
+//                              f7 -f14
+//
+//    General Purpose Registers:
+//      r32-r36 (Locals)
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6, p7, p8
+//
+//********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    All faults and exceptions should be raised correctly.
+//    sqrtl(QNaN) = QNaN
+//    sqrtl(SNaN) = QNaN
+//    sqrtl(+/-0) = +/-0
+//    sqrtl(negative) = QNaN and error handling is called
+//
+//********************************************************************
+//
+// Implementation:
+//
+//  Modified Newton-Raphson Algorithm
+//
+//********************************************************************
+
+GR_SAVE_PFS         = r33
+GR_SAVE_B0          = r34
+GR_SAVE_GP          = r35
+GR_Parameter_X      = r37
+GR_Parameter_Y      = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG    = r40
+
+FR_X                = f15
+FR_Y                = f0
+FR_RESULT           = f8
+
+.section .text
+GLOBAL_IEEE754_ENTRY(sqrtl)
+{ .mlx
+alloc r32= ar.pfs,0,5,4,0
+  // exponent of +1/2 in r2
+  movl r2 = 0x0fffe;;
+} { .mfi
+  // +1/2 in f10
+  setf.exp f12 = r2
+  // Step (1)
+  // y0 = 1/sqrt(a) in f7
+  frsqrta.s0 f7,p6=f8
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (2)
+  // H0 = +1/2 * y0 in f9
+  (p6) fma.s1 f9=f12,f7,f0
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (3)
+  // S0 = a * y0 in f7
+  (p6) fma.s1 f7=f8,f7,f0
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Make copy input x
+  mov f13=f8
+  nop.i 0
+} { .mfi
+  nop.m 0
+  fclass.m.unc p7,p8 = f8,0x3A
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (4)
+  // d0 = 1/2 - S0 * H0 in f10
+  (p6) fnma.s1 f10=f7,f9,f12
+  nop.i 0;;
+}
+{ .mfi
+  nop.m 0
+       mov f15=f8
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (5)
+  // H1 = H0 + d0 * H0 in f9
+  (p6) fma.s1 f9=f10,f9,f9
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (6)
+  // S1 = S0 + d0 * S0 in f7
+  (p6) fma.s1 f7=f10,f7,f7
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (7)
+  // d1 = 1/2 - S1 * H1 in f10
+  (p6) fnma.s1 f10=f7,f9,f12
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (8)
+  // H2 = H1 + d1 * H1 in f9
+  (p6) fma.s1 f9=f10,f9,f9
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (9)
+  // S2 = S1 + d1 * S1 in f7
+  (p6) fma.s1 f7=f10,f7,f7
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (10)
+  // d2 = 1/2 - S2 * H2 in f10
+  (p6) fnma.s1 f10=f7,f9,f12
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (11)
+  // e2 = a - S2 * S2 in f12
+  (p6) fnma.s1 f12=f7,f7,f8
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (12)
+  // S3 = S2 + d2 * S2 in f7
+  (p6) fma.s1 f7=f12,f9,f7
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (13)
+  // H3 = H2 + d2 * H2 in f9
+  (p6) fma.s1 f9=f10,f9,f9
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (14)
+  // e3 = a - S3 * S3 in f12
+  (p6) fnma.s1 f12=f7,f7,f8
+  nop.i 0;;
+} { .mfb
+  nop.m 0
+  // Step (15)
+  // S = S3 + e3 * H3 in f7
+  (p6) fma.s0 f8=f12,f9,f7
+  (p6) br.ret.sptk b0 ;;
+}
+{ .mfb
+       mov GR_Parameter_TAG    = 48
+       mov   f8 = f7
+  (p8) br.ret.sptk b0 ;;
+}
+//
+// This branch includes all those special values that are not negative,
+// with the result equal to frcpa(x)
+//
+
+
+// END DOUBLE EXTENDED PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
+GLOBAL_IEEE754_END(sqrtl)
+
+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
+        stfe [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
+        stfe [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
+        stfe [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
+        ldfe  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#