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+.file "sqrtl.s"
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// WARRANTY DISCLAIMER
+//
+// 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://developer.intel.com/opensource.
+//
+// ********************************************************************
+//
+// History:
+// 2/02/00 (hand-optimized)
+// 4/04/00 Unwind support added
+// 8/15/00 Bundle added after call to __libm_error_support to properly
+// set [the previously overwritten] GR_Parameter_RESULT.
+//
+// ********************************************************************
+//
+// 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
+//
+// ********************************************************************
+
+#include "libm_support.h"
+
+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
+.proc sqrtl#
+.global sqrtl#
+.align 64
+
+sqrtl:
+#ifdef _LIBC
+.global __sqrtl
+.type __sqrtl,@function
+__sqrtl:
+.global __ieee754_sqrtl
+.type __ieee754_sqrtl,@function
+__ieee754_sqrtl:
+#endif
+{ .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
+ (p0) 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
+ (p0) mov GR_Parameter_TAG = 48
+ (p0) 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
+.endp sqrtl#
+ASM_SIZE_DIRECTIVE(sqrtl)
+#ifdef _LIBC
+ASM_SIZE_DIRECTIVE(__sqrtl)
+ASM_SIZE_DIRECTIVE(__ieee754_sqrtl)
+#endif
+
+.proc __libm_error_region
+__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
+};;
+
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+.type __libm_error_support#,@function
+.global __libm_error_support#