about summary refs log tree commit diff
path: root/sysdeps/ia64/fpu/e_sqrt.S
diff options
context:
space:
mode:
Diffstat (limited to 'sysdeps/ia64/fpu/e_sqrt.S')
-rw-r--r--sysdeps/ia64/fpu/e_sqrt.S347
1 files changed, 347 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_sqrt.S b/sysdeps/ia64/fpu/e_sqrt.S
new file mode 100644
index 0000000000..ee6eb653f3
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_sqrt.S
@@ -0,0 +1,347 @@
+.file "sqrt.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  Initial version
+// 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 sqrt(x), where
+//                        _
+//             sqrt(x) = |x, for double precision x values
+//
+// ********************************************************************
+//
+// Accuracy:       Correctly Rounded
+//
+// ********************************************************************
+//
+// 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.
+//    sqrt(QNaN) = QNaN
+//    sqrt(SNaN) = QNaN
+//    sqrt(+/-0) = +/-0
+//    sqrt(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
+
+
+.section .text
+.proc sqrt#
+.global sqrt#
+.align 64 
+
+sqrt:
+#ifdef _LIBC
+.global __sqrt
+.type __sqrt,@function
+__sqrt:
+.global __ieee754_sqrt
+.type __ieee754_sqrt,@function
+__ieee754_sqrt:
+#endif
+{ .mfi
+  alloc r32= ar.pfs,0,5,4,0
+  frsqrta.s0 f7,p6=f8
+  nop.i 0
+} { .mlx
+  // BEGIN DOUBLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
+  nop.m 0
+  // exponent of +1/2 in r2
+  movl r2 = 0x0fffe;;
+} { .mmi
+  // +1/2 in f9
+  setf.exp f9 = r2
+  nop.m 0
+  nop.i 0
+} { .mlx
+  nop.m 0
+  // 3/2 in r3
+  movl r3=0x3fc00000;;
+} { .mfi
+  setf.s f10=r3
+  // Step (1)
+  // y0 = 1/sqrt(a) in f7
+  fclass.m.unc p7,p8 = f8,0x3A 
+  nop.i 0;;
+} { .mlx
+  nop.m 0
+  // 5/2 in r2
+  movl r2 = 0x40200000
+} { .mlx
+  nop.m 0
+  // 63/8 in r3
+  movl r3 = 0x40fc0000;;
+} { .mfi
+  setf.s f11=r2
+  // Step (2)
+  // h = +1/2 * y0 in f6
+  (p6) fma.s1 f6=f9,f7,f0
+  nop.i 0
+} { .mfi
+  setf.s f12=r3
+  // Step (3)
+  // g = a * y0 in f7
+  (p6) fma.s1 f7=f8,f7,f0
+  nop.i 0
+} { .mfi
+  nop.m 0
+  mov   f15 = f8
+  nop.i 0;;
+} { .mlx
+  nop.m 0
+  // 231/16 in r2
+  movl r2 = 0x41670000;;
+} { .mfi
+  setf.s f13=r2
+  // Step (4)
+  // e = 1/2 - g * h in f9
+  (p6) fnma.s1 f9=f7,f6,f9
+  nop.i 0
+} { .mlx
+  nop.m 0
+  // 35/8 in r3
+  movl r3 = 0x408c0000;;
+} { .mfi
+  setf.s f14=r3
+  // Step (5)
+  // S = 3/2 + 5/2 * e in f10
+  (p6) fma.s1 f10=f11,f9,f10
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (6)
+  // e2 = e * e in f11
+  (p6) fma.s1 f11=f9,f9,f0
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (7)
+  // t = 63/8 + 231/16 * e in f12
+  (p6) fma.s1 f12=f13,f9,f12
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (8)
+  // S1 = e + e2 * S in f10
+  (p6) fma.s1 f10=f11,f10,f9
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (9)
+  // e4 = e2 * e2 in f11
+  (p6) fma.s1 f11=f11,f11,f0
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (10)
+  // t1 = 35/8 + e * t in f9
+  (p6) fma.s1 f9=f9,f12,f14
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (11)
+  // G = g + S1 * g in f12
+  (p6) fma.s1 f12=f10,f7,f7
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (12)
+  // E = g * e4 in f7
+  (p6) fma.s1 f7=f7,f11,f0
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (13)
+  // u = S1 + e4 * t1 in f10
+  (p6) fma.s1 f10=f11,f9,f10
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (14)
+  // g1 = G + t1 * E in f7
+  (p6) fma.d.s1 f7=f9,f7,f12
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (15)
+  // h1 = h + u * h in f6
+  (p6) fma.s1 f6=f10,f6,f6
+  nop.i 0;;
+} { .mfi
+  nop.m 0
+  // Step (16)
+  // d = a - g1 * g1 in f9
+  (p6) fnma.s1 f9=f7,f7,f8
+  nop.i 0;;
+} { .mfb
+  nop.m 0
+  // Step (17)
+  // g2 = g1 + d * h1 in f7
+  (p6) fma.d.s0 f8=f9,f6,f7
+  (p6) br.ret.sptk b0 ;;
+} 
+
+{ .mfb
+  nop.m 0
+  (p0) mov   f8 = f7
+  (p8) br.ret.sptk b0 ;;
+}
+{ .mfb
+  (p7) mov   r40 = 49
+  nop.f 0
+  (p7) br.cond.sptk __libm_error_region ;;
+}
+// END DOUBLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
+.endp sqrt#
+ASM_SIZE_DIRECTIVE(sqrt)
+#ifdef _LIBC
+ASM_SIZE_DIRECTIVE(__sqrt)
+ASM_SIZE_DIRECTIVE(__ieee754_sqrt)
+#endif
+
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+.proc __libm_error_region
+__libm_error_region:
+
+//
+// This branch includes all those special values that are not negative,
+// with the result equal to frcpa(x)
+// 
+
+.prologue
+// We are distinguishing between over(under)flow and letting
+// __libm_error_support set ERANGE or do anything else needed.
+
+// (1)
+{ .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
+};;
+
+
+// (2)
+{ .mmi
+        stfd [GR_Parameter_Y] = f0,16         // 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
+// (3)
+{ .mib
+        stfd [GR_Parameter_X] = f15                    // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y   // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f8                     // 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
+};;
+
+// (4)
+{ .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
+};;
+
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#