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-rw-r--r--sysdeps/ia64/fpu/e_asinl.S2834
1 files changed, 548 insertions, 2286 deletions
diff --git a/sysdeps/ia64/fpu/e_asinl.S b/sysdeps/ia64/fpu/e_asinl.S
index ad65a731fc..9153832090 100644
--- a/sysdeps/ia64/fpu/e_asinl.S
+++ b/sysdeps/ia64/fpu/e_asinl.S
@@ -1,10 +1,10 @@
 .file "asinl.s"
 
-
-// Copyright (c) 2001 - 2003, Intel Corporation
+// Copyright (C) 2000, 2001, Intel Corporation
 // All rights reserved.
-//
-// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+// 
+// 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.
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,2449 +20,720 @@
 // * 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
+//
+// 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
+// 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
+// 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.
-//
+// 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.
+// problem reports or change requests be submitted to it directly at 
+// http://developer.intel.com/opensource.
 //
 // History
 //==============================================================
-// 08/28/01 New version
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 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.
 //
 // API
 //==============================================================
-// long double asinl(long double)
+// long double = asinl(long double)
+// input  floating point f8
+// output floating point f8
 //
-// Overview of operation
+// Registers used
 //==============================================================
-// Background
-//
-// Implementation
-//
-// For |s| in [2^{-4}, sqrt(2)/2]:
-// Let t= 2^k*1.b1 b2..b6 1, where s= 2^k*1.b1 b2.. b52
-// asin(s)= asin(t)+asin(r), where r= s*sqrt(1-t^2)-t*sqrt(1-s^2), i.e.
-// r= (s-t)*sqrt(1-t^2)-t*sqrt(1-t^2)*(sqrt((1-s^2)/(1-t^2))-1)
-// asin(r)-r evaluated as 9-degree polynomial (c3*r^3+c5*r^5+c7*r^7+c9*r^9)
-// The 64-bit significands of sqrt(1-t^2), 1/(1-t^2) are read from the table,
-// along with the high and low parts of asin(t) (stored as two double precision
-// values)
 //
-// |s| in (sqrt(2)/2, sqrt(255/256)):
-// Let t= 2^k*1.b1 b2..b6 1, where (1-s^2)*frsqrta(1-s^2)= 2^k*1.b1 b2..b6..
-// asin(|s|)= pi/2-asin(t)+asin(r), r= s*t-sqrt(1-s^2)*sqrt(1-t^2)
-// To minimize accumulated errors, r is computed as
-// r= (t*s)_s-t^2*y*z+z*y*(t^2-1+s^2)_s+z*y*(1-s^2)_s*x+z'*y*(1-s^2)*PS29+
-// +(t*s-(t*s)_s)+z*y*((t^2-1-(t^2-1+s^2)_s)+s^2)+z*y*(1-s^2-(1-s^2)_s)+
-// +ez*z'*y*(1-s^2)*(1-x),
-// where y= frsqrta(1-s^2), z= (sqrt(1-t^2))_s (rounded to 24 significant bits)
-// z'= sqrt(1-t^2), x= ((1-s^2)*y^2-1)/2
+// predicate registers used:
+// p6 -> p12
 //
-// |s|<2^{-4}: evaluate as 17-degree polynomial
-// (or simply return s, if|s|<2^{-64})
+// floating-point registers used:
+// f8 has input, then output
+// f32 -> f87, f8 -> f13, f32 -> f87
 //
-// |s| in [sqrt(255/256), 1): asin(|s|)= pi/2-asin(sqrt(1-s^2))
-// use 17-degree polynomial for asin(sqrt(1-s^2)),
-// 9-degree polynomial to evaluate sqrt(1-s^2)
-// High order term is (pi/2)_high-(y*(1-s^2))_high
+// general registers used:
+// r32 -> r47
 //
-
-
-
-// Registers used
+// Overview of operation
 //==============================================================
-// f6-f15, f32-f36
-// r2-r3, r23-r23
-// p6, p7, p8, p12
-//
-
-
-       GR_SAVE_B0= r33
-       GR_SAVE_PFS= r34
-       GR_SAVE_GP= r35 // This reg. can safely be used
-       GR_SAVE_SP= r36
-
-       GR_Parameter_X= r37
-       GR_Parameter_Y= r38
-       GR_Parameter_RESULT= r39
-       GR_Parameter_TAG= r40
+// There are three paths
+// 1. |x| < 2^-40                 ASIN_TINY
+// 2. 2^-40 <= |x| < 1/4          ASIN_POLY
+// 3. 1/4 <= |x| < 1              ASIN_ATAN
 
-       FR_X= f10
-       FR_Y= f1
-       FR_RESULT= f8
-
-
-
-RODATA
-
-.align 16
-
-
-
-LOCAL_OBJECT_START(T_table)
-
-// stores 64-bit significand of 1/(1-t^2), 64-bit significand of sqrt(1-t^2),
-// asin(t)_high (double precision), asin(t)_low (double precision)
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-data8 0x3fcbd815874eb160, 0x3cb5f4b89875e187
-data8 0x865f669fe390c7f5, 0xf9db17e65944eacf
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-data8 0x3fcc9cd993cc4040, 0x3cbae93acc85eccf
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-data8 0x86dcf0b16613e37a, 0xf966b246a8606170
-data8 0x3fcd202d11620fa0, 0x3c962030e5d4c849
-data8 0x86fd29d7624b3d5d, 0xf948ec11a9d4c45b
-data8 0x3fcd61e27c10c0a0, 0x3cc7083c91d59217
-data8 0x871db9b741dbe44a, 0xf92ae08c9eca4941
-data8 0x3fcda39fc97be7c0, 0x3cc9258579e57211
-data8 0x873ea0c3722d6af2, 0xf90c8f9e71633363
-data8 0x3fcde5650dd86d60, 0x3ca4755a9ea582a9
-data8 0x875fdf6fe45529e8, 0xf8edf92dc5875319
-data8 0x3fce27325d6fe520, 0x3cbc1e2b6c1954f9
-data8 0x878176321154e2bc, 0xf8cf1d20f87270b8
-data8 0x3fce6907cca0d060, 0x3cb6ca4804750830
-data8 0x87a36580fe6bccf5, 0xf8affb5e20412199
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-data8 0x3fceeccb5bb33900, 0x3cc16e99cedadb20
-data8 0x87e84fa9057914ca, 0xf870e64d40a15036
-data8 0x3fcf2eb9a4bcb600, 0x3cc75ee47c8b09e9
-data8 0x880b4b780f02b709, 0xf850f2c9fdacdf78
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-data8 0x882ea1bfc0f228ac, 0xf830b926379e6465
-data8 0x3fcfb2afa158b8a0, 0x3cce0ccd9f829985
-data8 0x885252ff21146108, 0xf810394699fe0e8e
-data8 0x3fcff4b77e97f3e0, 0x3c9b30faa7a4c703
-data8 0x88765fb6dceebbb3, 0xf7ef730f865f6df0
-data8 0x3fd01b6406332540, 0x3cdc5772c9e0b9bd
-data8 0x88ad1f69be2cc730, 0xf7bdc59bc9cfbd97
-data8 0x3fd04cf8ad203480, 0x3caeef44fe21a74a
-data8 0x88f763f70ae2245e, 0xf77a91c868a9c54e
-data8 0x3fd08f23ce0162a0, 0x3cd6290ab3fe5889
-data8 0x89431fc7bc0c2910, 0xf73642973c91298e
-data8 0x3fd0d1610f0c1ec0, 0x3cc67401a01f08cf
-data8 0x8990573407c7738e, 0xf6f0d71d1d7a2dd6
-data8 0x3fd113b0c65d88c0, 0x3cc7aa4020fe546f
-data8 0x89df0eb108594653, 0xf6aa4e6a05cfdef2
-data8 0x3fd156134ada6fe0, 0x3cc87369da09600c
-data8 0x8a2f4ad16e0ed78a, 0xf662a78900c35249
-data8 0x3fd19888f43427a0, 0x3cc62b220f38e49c
-data8 0x8a811046373e0819, 0xf619e180181d97cc
-data8 0x3fd1db121aed7720, 0x3ca3ede7490b52f4
-data8 0x8ad463df6ea0fa2c, 0xf5cffb504190f9a2
-data8 0x3fd21daf185fa360, 0x3caafad98c1d6c1b
-data8 0x8b294a8cf0488daf, 0xf584f3f54b8604e6
-data8 0x3fd2606046bf95a0, 0x3cdb2d704eeb08fa
-data8 0x8b7fc95f35647757, 0xf538ca65c960b582
-data8 0x3fd2a32601231ec0, 0x3cc661619fa2f126
-data8 0x8bd7e588272276f8, 0xf4eb7d92ff39fccb
-data8 0x3fd2e600a3865760, 0x3c8a2a36a99aca4a
-data8 0x8c31a45bf8e9255e, 0xf49d0c68cd09b689
-data8 0x3fd328f08ad12000, 0x3cb9efaf1d7ab552
-data8 0x8c8d0b520a35eb18, 0xf44d75cd993cfad2
-data8 0x3fd36bf614dcc040, 0x3ccacbb590bef70d
-data8 0x8cea2005d068f23d, 0xf3fcb8a23ab4942b
-data8 0x3fd3af11a079a6c0, 0x3cd9775872cf037d
-data8 0x8d48e837c8cd5027, 0xf3aad3c1e2273908
-data8 0x3fd3f2438d754b40, 0x3ca03304f667109a
-data8 0x8da969ce732f3ac7, 0xf357c60202e2fd7e
-data8 0x3fd4358c3ca032e0, 0x3caecf2504ff1a9d
-data8 0x8e0baad75555e361, 0xf3038e323ae9463a
-data8 0x3fd478ec0fd419c0, 0x3cc64bdc3d703971
-data8 0x8e6fb18807ba877e, 0xf2ae2b1c3a6057f7
-data8 0x3fd4bc6369fa40e0, 0x3cbb7122ec245cf2
-data8 0x8ed5843f4bda74d5, 0xf2579b83aa556f0c
-data8 0x3fd4fff2af11e2c0, 0x3c9cfa2dc792d394
-data8 0x8f3d29862c861fef, 0xf1ffde2612ca1909
-data8 0x3fd5439a4436d000, 0x3cc38d46d310526b
-data8 0x8fa6a81128940b2d, 0xf1a6f1bac0075669
-data8 0x3fd5875a8fa83520, 0x3cd8bf59b8153f8a
-data8 0x901206c1686317a6, 0xf14cd4f2a730d480
-data8 0x3fd5cb33f8cf8ac0, 0x3c9502b5c4d0e431
-data8 0x907f4ca5fe9cf739, 0xf0f186784a125726
-data8 0x3fd60f26e847b120, 0x3cc8a1a5e0acaa33
-data8 0x90ee80fd34aeda5e, 0xf09504ef9a212f18
-data8 0x3fd65333c7e43aa0, 0x3cae5b029cb1f26e
-data8 0x915fab35e37421c6, 0xf0374ef5daab5c45
-data8 0x3fd6975b02b8e360, 0x3cd5aa1c280c45e6
-data8 0x91d2d2f0d894d73c, 0xefd86321822dbb51
-data8 0x3fd6db9d05213b20, 0x3cbecf2c093ccd8b
-data8 0x9248000249200009, 0xef7840021aca5a72
-data8 0x3fd71ffa3cc87fc0, 0x3cb8d273f08d00d9
-data8 0x92bf3a7351f081d2, 0xef16e42021d7cbd5
-data8 0x3fd7647318b1ad20, 0x3cbce099d79cdc46
-data8 0x93388a8386725713, 0xeeb44dfce6820283
-data8 0x3fd7a908093fc1e0, 0x3ccb033ec17a30d9
-data8 0x93b3f8aa8e653812, 0xee507c126774fa45
-data8 0x3fd7edb9803e3c20, 0x3cc10aedb48671eb
-data8 0x94318d99d341ade4, 0xedeb6cd32f891afb
-data8 0x3fd83287f0e9cf80, 0x3c994c0c1505cd2a
-data8 0x94b1523e3dedc630, 0xed851eaa3168f43c
-data8 0x3fd87773cff956e0, 0x3cda3b7bce6a6b16
-data8 0x95334fc20577563f, 0xed1d8ffaa2279669
-data8 0x3fd8bc7d93a70440, 0x3cd4922edc792ce2
-data8 0x95b78f8e8f92f274, 0xecb4bf1fd2be72da
-data8 0x3fd901a5b3b9cf40, 0x3cd3fea1b00f9d0d
-data8 0x963e1b4e63a87c3f, 0xec4aaa6d08694cc1
-data8 0x3fd946eca98f2700, 0x3cdba4032d968ff1
-data8 0x96c6fcef314074fc, 0xebdf502d53d65fea
-data8 0x3fd98c52f024e800, 0x3cbe7be1ab8c95c9
-data8 0x97523ea3eab028b2, 0xeb72aea36720793e
-data8 0x3fd9d1d904239860, 0x3cd72d08a6a22b70
-data8 0x97dfeae6f4ee4a9a, 0xeb04c4096a884e94
-data8 0x3fda177f63e8ef00, 0x3cd818c3c1ebfac7
-data8 0x98700c7c6d85d119, 0xea958e90cfe1efd7
-data8 0x3fda5d468f92a540, 0x3cdf45fbfaa080fe
-data8 0x9902ae7487a9caa1, 0xea250c6224aab21a
-data8 0x3fdaa32f090998e0, 0x3cd715a9353cede4
-data8 0x9997dc2e017a9550, 0xe9b33b9ce2bb7638
-data8 0x3fdae939540d3f00, 0x3cc545c014943439
-data8 0x9a2fa158b29b649b, 0xe9401a573f8aa706
-data8 0x3fdb2f65f63f6c60, 0x3cd4a63c2f2ca8e2
-data8 0x9aca09f835466186, 0xe8cba69df9f0bf35
-data8 0x3fdb75b5773075e0, 0x3cda310ce1b217ec
-data8 0x9b672266ab1e0136, 0xe855de74266193d4
-data8 0x3fdbbc28606babc0, 0x3cdc84b75cca6c44
-data8 0x9c06f7579f0b7bd5, 0xe7debfd2f98c060b
-data8 0x3fdc02bf3d843420, 0x3cd225d967ffb922
-data8 0x9ca995db058cabdc, 0xe76648a991511c6e
-data8 0x3fdc497a9c224780, 0x3cde08101c5b825b
-data8 0x9d4f0b605ce71e88, 0xe6ec76dcbc02d9a7
-data8 0x3fdc905b0c10d420, 0x3cb1abbaa3edf120
-data8 0x9df765b9eecad5e6, 0xe6714846bdda7318
-data8 0x3fdcd7611f4b8a00, 0x3cbf6217ae80aadf
-data8 0x9ea2b320350540fe, 0xe5f4bab71494cd6b
-data8 0x3fdd1e8d6a0d56c0, 0x3cb726e048cc235c
-data8 0x9f51023562fc5676, 0xe576cbf239235ecb
-data8 0x3fdd65e082df5260, 0x3cd9e66872bd5250
-data8 0xa002620915c2a2f6, 0xe4f779b15f5ec5a7
-data8 0x3fddad5b02a82420, 0x3c89743b0b57534b
-data8 0xa0b6e21c2caf9992, 0xe476c1a233a7873e
-data8 0x3fddf4fd84bbe160, 0x3cbf7adea9ee3338
-data8 0xa16e9264cc83a6b2, 0xe3f4a16696608191
-data8 0x3fde3cc8a6ec6ee0, 0x3cce46f5a51f49c6
-data8 0xa22983528f3d8d49, 0xe3711694552da8a8
-data8 0x3fde84bd099a6600, 0x3cdc78f6490a2d31
-data8 0xa2e7c5d2e2e69460, 0xe2ec1eb4e1e0a5fb
-data8 0x3fdeccdb4fc685c0, 0x3cdd3aedb56a4825
-data8 0xa3a96b5599bd2532, 0xe265b74506fbe1c9
-data8 0x3fdf15241f23b3e0, 0x3cd440f3c6d65f65
-data8 0xa46e85d1ae49d7de, 0xe1ddddb499b3606f
-data8 0x3fdf5d98202994a0, 0x3cd6c44bd3fb745a
-data8 0xa53727ca3e11b99e, 0xe1548f662951b00d
-data8 0x3fdfa637fe27bf60, 0x3ca8ad1cd33054dd
-data8 0xa6036453bdc20186, 0xe0c9c9aeabe5e481
-data8 0x3fdfef0467599580, 0x3cc0f1ac0685d78a
-data8 0xa6d34f1969dda338, 0xe03d89d5281e4f81
-data8 0x3fe01bff067d6220, 0x3cc0731e8a9ef057
-data8 0xa7a6fc62f7246ff3, 0xdfafcd125c323f54
-data8 0x3fe04092d1ae3b40, 0x3ccabda24b59906d
-data8 0xa87e811a861df9b9, 0xdf20909061bb9760
-data8 0x3fe0653df0fd9fc0, 0x3ce94c8dcc722278
-data8 0xa959f2d2dd687200, 0xde8fd16a4e5f88bd
-data8 0x3fe08a00c1cae320, 0x3ce6b888bb60a274
-data8 0xaa3967cdeea58bda, 0xddfd8cabd1240d22
-data8 0x3fe0aedba3221c00, 0x3ced5941cd486e46
-data8 0xab904fd587263c84, 0xdd1f4472e1cf64ed
-data8 0x3fe0e651e85229c0, 0x3cdb6701042299b1
-data8 0xad686d44dd5a74bb, 0xdbf173e1f6b46e92
-data8 0x3fe1309cbf4cdb20, 0x3cbf1be7bb3f0ec5
-data8 0xaf524e15640ebee4, 0xdabd54896f1029f6
-data8 0x3fe17b4ee1641300, 0x3ce81dd055b792f1
-data8 0xb14eca24ef7db3fa, 0xd982cb9ae2f47e41
-data8 0x3fe1c66b9ffd6660, 0x3cd98ea31eb5ddc7
-data8 0xb35ec807669920ce, 0xd841bd1b8291d0b6
-data8 0x3fe211f66db3a5a0, 0x3ca480c35a27b4a2
-data8 0xb5833e4755e04dd1, 0xd6fa0bd3150b6930
-data8 0x3fe25df2e05b6c40, 0x3ca4bc324287a351
-data8 0xb7bd34c8000b7bd3, 0xd5ab9939a7d23aa1
-data8 0x3fe2aa64b32f7780, 0x3cba67314933077c
-data8 0xba0dc64d126cc135, 0xd4564563ce924481
-data8 0x3fe2f74fc9289ac0, 0x3cec1a1dc0efc5ec
-data8 0xbc76222cbbfa74a6, 0xd2f9eeed501125a8
-data8 0x3fe344b82f859ac0, 0x3ceeef218de413ac
-data8 0xbef78e31985291a9, 0xd19672e2182f78be
-data8 0x3fe392a22087b7e0, 0x3cd2619ba201204c
-data8 0xc19368b2b0629572, 0xd02baca5427e436a
-data8 0x3fe3e11206694520, 0x3cb5d0b3143fe689
-data8 0xc44b2ae8c6733e51, 0xceb975d60b6eae5d
-data8 0x3fe4300c7e945020, 0x3cbd367143da6582
-data8 0xc7206b894212dfef, 0xcd3fa6326ff0ac9a
-data8 0x3fe47f965d201d60, 0x3ce797c7a4ec1d63
-data8 0xca14e1b0622de526, 0xcbbe13773c3c5338
-data8 0x3fe4cfb4b09d1a20, 0x3cedfadb5347143c
-data8 0xcd2a6825eae65f82, 0xca34913d425a5ae9
-data8 0x3fe5206cc637e000, 0x3ce2798b38e54193
-data8 0xd06301095e1351ee, 0xc8a2f0d3679c08c0
-data8 0x3fe571c42e3d0be0, 0x3ccd7cb9c6c2ca68
-data8 0xd3c0d9f50057adda, 0xc70901152d59d16b
-data8 0x3fe5c3c0c108f940, 0x3ceb6c13563180ab
-data8 0xd74650a98cc14789, 0xc5668e3d4cbf8828
-data8 0x3fe61668a46ffa80, 0x3caa9092e9e3c0e5
-data8 0xdaf5f8579dcc8f8f, 0xc3bb61b3eed42d02
-data8 0x3fe669c251ad69e0, 0x3cccf896ef3b4fee
-data8 0xded29f9f9a6171b4, 0xc20741d7f8e8e8af
-data8 0x3fe6bdd49bea05c0, 0x3cdc6b29937c575d
-data8 0xe2df5765854ccdb0, 0xc049f1c2d1b8014b
-data8 0x3fe712a6b76c6e80, 0x3ce1ddc6f2922321
-data8 0xe71f7a9b94fcb4c3, 0xbe833105ec291e91
-data8 0x3fe76840418978a0, 0x3ccda46e85432c3d
-data8 0xeb96b72d3374b91e, 0xbcb2bb61493b28b3
-data8 0x3fe7bea9496d5a40, 0x3ce37b42ec6e17d3
-data8 0xf049183c3f53c39b, 0xbad848720223d3a8
-data8 0x3fe815ea59dab0a0, 0x3cb03ad41bfc415b
-data8 0xf53b11ec7f415f15, 0xb8f38b57c53c9c48
-data8 0x3fe86e0c84010760, 0x3cc03bfcfb17fe1f
-data8 0xfa718f05adbf2c33, 0xb70432500286b185
-data8 0x3fe8c7196b9225c0, 0x3ced99fcc6866ba9
-data8 0xfff200c3f5489608, 0xb509e6454dca33cc
-data8 0x3fe9211b54441080, 0x3cb789cb53515688
-// The following table entries are not used
-//data8 0x82e138a0fac48700, 0xb3044a513a8e6132
-//data8 0x3fe97c1d30f5b7c0, 0x3ce1eb765612d1d0
-//data8 0x85f4cc7fc670d021, 0xb0f2fb2ea6cbbc88
-//data8 0x3fe9d82ab4b5fde0, 0x3ced3fe6f27e8039
-//data8 0x89377c1387d5b908, 0xaed58e9a09014d5c
-//data8 0x3fea355065f87fa0, 0x3cbef481d25f5b58
-//data8 0x8cad7a2c98dec333, 0xacab929ce114d451
-//data8 0x3fea939bb451e2a0, 0x3c8e92b4fbf4560f
-//data8 0x905b7dfc99583025, 0xaa748cc0dbbbc0ec
-//data8 0x3feaf31b11270220, 0x3cdced8c61bd7bd5
-//data8 0x9446d8191f80dd42, 0xa82ff92687235baf
-//data8 0x3feb53de0bcffc20, 0x3cbe1722fb47509e
-//data8 0x98758ba086e4000a, 0xa5dd497a9c184f58
-//data8 0x3febb5f571cb0560, 0x3ce0c7774329a613
-//data8 0x9cee6c7bf18e4e24, 0xa37be3c3cd1de51b
-//data8 0x3fec197373bc7be0, 0x3ce08ebdb55c3177
-//data8 0xa1b944000a1b9440, 0xa10b2101b4f27e03
-//data8 0x3fec7e6bd023da60, 0x3ce5fc5fd4995959
-//data8 0xa6defd8ba04d3e38, 0x9e8a4b93cad088ec
-//data8 0x3fece4f404e29b20, 0x3cea3413401132b5
-//data8 0xac69dd408a10c62d, 0x9bf89d5d17ddae8c
-//data8 0x3fed4d2388f63600, 0x3cd5a7fb0d1d4276
-//data8 0xb265c39cbd80f97a, 0x99553d969fec7beb
-//data8 0x3fedb714101e0a00, 0x3cdbda21f01193f2
-//data8 0xb8e081a16ae4ae73, 0x969f3e3ed2a0516c
-//data8 0x3fee22e1da97bb00, 0x3ce7231177f85f71
-//data8 0xbfea427678945732, 0x93d5990f9ee787af
-//data8 0x3fee90ac13b18220, 0x3ce3c8a5453363a5
-//data8 0xc79611399b8c90c5, 0x90f72bde80febc31
-//data8 0x3fef009542b712e0, 0x3ce218fd79e8cb56
-//data8 0xcffa8425040624d7, 0x8e02b4418574ebed
-//data8 0x3fef72c3d2c57520, 0x3cd32a717f82203f
-//data8 0xd93299cddcf9cf23, 0x8af6ca48e9c44024
-//data8 0x3fefe762b77744c0, 0x3ce53478a6bbcf94
-//data8 0xe35eda760af69ad9, 0x87d1da0d7f45678b
-//data8 0x3ff02f511b223c00, 0x3ced6e11782c28fc
-//data8 0xeea6d733421da0a6, 0x84921bbe64ae029a
-//data8 0x3ff06c5c6f8ce9c0, 0x3ce71fc71c1ffc02
-//data8 0xfb3b2c73fc6195cc, 0x813589ba3a5651b6
-//data8 0x3ff0aaf2613700a0, 0x3cf2a72d2fd94ef3
-//data8 0x84ac1fcec4203245, 0xfb73a828893df19e
-//data8 0x3ff0eb367c3fd600, 0x3cf8054c158610de
-//data8 0x8ca50621110c60e6, 0xf438a14c158d867c
-//data8 0x3ff12d51caa6b580, 0x3ce6bce9748739b6
-//data8 0x95b8c2062d6f8161, 0xecb3ccdd37b369da
-//data8 0x3ff1717418520340, 0x3ca5c2732533177c
-//data8 0xa0262917caab4ad1, 0xe4dde4ddc81fd119
-//data8 0x3ff1b7d59dd40ba0, 0x3cc4c7c98e870ff5
-//data8 0xac402c688b72f3f4, 0xdcae469be46d4c8d
-//data8 0x3ff200b93cc5a540, 0x3c8dd6dc1bfe865a
-//data8 0xba76968b9eabd9ab, 0xd41a8f3df1115f7f
-//data8 0x3ff24c6f8f6affa0, 0x3cf1acb6d2a7eff7
-//data8 0xcb63c87c23a71dc5, 0xcb161074c17f54ec
-//data8 0x3ff29b5b338b7c80, 0x3ce9b5845f6ec746
-//data8 0xdfe323b8653af367, 0xc19107d99ab27e42
-//data8 0x3ff2edf6fac7f5a0, 0x3cf77f961925fa02
-//data8 0xf93746caaba3e1f1, 0xb777744a9df03bff
-//data8 0x3ff344df237486c0, 0x3cf6ddf5f6ddda43
-//data8 0x8ca77052f6c340f0, 0xacaf476f13806648
-//data8 0x3ff3a0dfa4bb4ae0, 0x3cfee01bbd761bff
-//data8 0xa1a48604a81d5c62, 0xa11575d30c0aae50
-//data8 0x3ff4030b73c55360, 0x3cf1cf0e0324d37c
-//data8 0xbe45074b05579024, 0x9478e362a07dd287
-//data8 0x3ff46ce4c738c4e0, 0x3ce3179555367d12
-//data8 0xe7a08b5693d214ec, 0x8690e3575b8a7c3b
-//data8 0x3ff4e0a887c40a80, 0x3cfbd5d46bfefe69
-//data8 0x94503d69396d91c7, 0xedd2ce885ff04028
-//data8 0x3ff561ebd9c18cc0, 0x3cf331bd176b233b
-//data8 0xced1d96c5bb209e6, 0xc965278083808702
-//data8 0x3ff5f71d7ff42c80, 0x3ce3301cc0b5a48c
-//data8 0xabac2cee0fc24e20, 0x9c4eb1136094cbbd
-//data8 0x3ff6ae4c63222720, 0x3cf5ff46874ee51e
-//data8 0x8040201008040201, 0xb4d7ac4d9acb1bf4
-//data8 0x3ff7b7d33b928c40, 0x3cfacdee584023bb
-LOCAL_OBJECT_END(T_table)
+#include "libm_support.h"
 
+// Assembly macros
+//==============================================================
+FR_RESULT = f10
+FR_X = f8
+FR_Y = f1
+asin_P79                   = f32
+asin_P59                   = f33
+asin_P39                   = f34
+asin_P19                   = f35
+
+asin_P810                  = f36
+asin_P610                  = f37
+asin_P410                  = f38
+asin_P210                  = f39
+
+asin_A1                    = f41
+asin_A2                    = f42
+asin_A3                    = f43
+asin_A4                    = f44
+asin_A5                    = f45
+asin_A6                    = f46
+asin_A7                    = f47
+asin_A8                    = f48
+asin_A9                    = f49
+asin_A10                   = f50
+
+asin_X2                    = f51
+asin_X4                    = f52
+
+asin_B                     = f53
+asin_Bb                    = f54
+asin_C                     = f55
+asin_Cc                    = f56
+asin_D                     = f57
+
+asin_W                     = f58
+asin_Ww                    = f59
+
+asin_y0                    = f60
+asin_y1                    = f61
+asin_y2                    = f62
+
+asin_H                     = f63
+asin_Hh                    = f64
+
+asin_t1                    = f65
+asin_t2                    = f66
+asin_t3                    = f67
+asin_t4                    = f68
+asin_t5                    = f69
+
+asin_Pseries               = f70
+asin_NORM_f8               = f71
+asin_ABS_NORM_f8           = f72
+
+asin_2m100                 = f73
+asin_P1P2                  = f74
+asin_HALF                  = f75
+asin_1mD                   = f76
+
+asin_1mB                   = f77
+asin_1mBmC                 = f78 
+asin_S                     = f79
+
+asin_BmWW                  = f80 
+asin_BmWWpb                = f81 
+asin_2W                    = f82 
+asin_1d2W                  = f83 
+asin_Dd                    = f84
+
+asin_XWw                   = f85 
+asin_low                   = f86
+
+asin_pi_by_2               = f87
+asin_pi_by_2_lo            = f88
+
+asin_GR_17_ones            = r33
+asin_GR_16_ones            = r34
+asin_GR_signexp_f8         = r35
+asin_GR_exp                = r36
+asin_GR_true_exp           = r37
+asin_GR_ff9b               = r38 
+
+GR_SAVE_B0              = r39
+GR_SAVE_SP              = r40
+GR_SAVE_PFS             = r33 
+// r33 can be used safely.
+// r40 is address of table of coefficients
+// Later it is used to save sp across calls 
+GR_SAVE_GP              = r41
+asin_GR_fffe               = r42 
+asin_GR_retval             = r43 
+
+GR_Parameter_X                 = r44 
+GR_Parameter_Y                 = r45 
+GR_Parameter_RESULT            = r46 
+GR_Parameter_TAG               = r47 
+
+
+// 2^-40:
+// A true exponent of -40 is
+//                    : -40 + register_bias
+//                    : -28 + ffff = ffd7
+
+// A true exponent of -100 is 
+//                    : -100 + register_bias
+//                    : -64 + ffff = ff9b
+
+// Data tables
+//==============================================================
 
+#ifdef _LIBC
+.rodata
+#else
+.data
+#endif
 
 .align 16
 
-LOCAL_OBJECT_START(poly_coeffs)
-       // C_3
-data8 0xaaaaaaaaaaaaaaab, 0x0000000000003ffc
-       // C_5
-data8 0x999999999999999a, 0x0000000000003ffb
-       // C_7, C_9
-data8 0x3fa6db6db6db6db7, 0x3f9f1c71c71c71c8
-       // pi/2 (low, high)
-data8 0x3C91A62633145C07, 0x3FF921FB54442D18
-       // C_11, C_13
-data8 0x3f96e8ba2e8ba2e9, 0x3f91c4ec4ec4ec4e
-       // C_15, C_17
-data8 0x3f8c99999999999a, 0x3f87a87878787223
-LOCAL_OBJECT_END(poly_coeffs)
-
-
-R_DBL_S = r21
-R_EXP0 = r22
-R_EXP = r15
-R_SGNMASK = r23
-R_TMP = r24
-R_TMP2 = r25
-R_INDEX = r26
-R_TMP3 = r27
-R_TMP03 = r27
-R_TMP4 = r28
-R_TMP5 = r23
-R_TMP6 = r22
-R_TMP7 = r21
-R_T = r29
-R_BIAS = r20
-
-F_T = f6
-F_1S2 = f7
-F_1S2_S = f9
-F_INV_1T2 = f10
-F_SQRT_1T2 = f11
-F_S2T2 = f12
-F_X = f13
-F_D = f14
-F_2M64 = f15
-
-F_CS2 = f32
-F_CS3 = f33
-F_CS4 = f34
-F_CS5 = f35
-F_CS6 = f36
-F_CS7 = f37
-F_CS8 = f38
-F_CS9 = f39
-F_S23 = f40 
-F_S45 = f41 
-F_S67 = f42 
-F_S89 = f43 
-F_S25 = f44 
-F_S69 = f45 
-F_S29 = f46 
-F_X2 = f47 
-F_X4 = f48 
-F_TSQRT = f49 
-F_DTX = f50 
-F_R = f51 
-F_R2 = f52 
-F_R3 = f53 
-F_R4 = f54 
-
-F_C3 = f55 
-F_C5 = f56 
-F_C7 = f57 
-F_C9 = f58 
-F_P79 = f59 
-F_P35 = f60 
-F_P39 = f61 
-
-F_ATHI = f62 
-F_ATLO = f63 
-
-F_T1 = f64 
-F_Y = f65 
-F_Y2 = f66 
-F_ANDMASK = f67 
-F_ORMASK = f68 
-F_S = f69 
-F_05 = f70 
-F_SQRT_1S2 = f71 
-F_DS = f72 
-F_Z = f73 
-F_1T2 = f74 
-F_DZ = f75 
-F_ZE = f76 
-F_YZ = f77 
-F_Y1S2 = f78 
-F_Y1S2X = f79 
-F_1X = f80 
-F_ST = f81 
-F_1T2_ST = f82 
-F_TSS = f83 
-F_Y1S2X2 = f84 
-F_DZ_TERM = f85 
-F_DTS = f86 
-F_DS2X = f87 
-F_T2 = f88 
-F_ZY1S2S = f89 
-F_Y1S2_1X = f90 
-F_TS = f91
-F_PI2_LO = f92 
-F_PI2_HI = f93 
-F_S19 = f94 
-F_INV1T2_2 = f95 
-F_CORR = f96 
-F_DZ0 = f97 
-
-F_C11 = f98 
-F_C13 = f99 
-F_C15 = f100
-F_C17 = f101
-F_P1113 = f102
-F_P1517 = f103
-F_P1117 = f104
-F_P317 = f105
-F_R8 = f106
-F_HI = f107
-F_1S2_HI = f108
-F_DS2 = f109
-F_Y2_2 = f110
-F_S2 = f111
-F_S_DS2 = f112
-F_S_1S2S = f113
-F_XL = f114
-F_2M128 = f115
-
+asin_coefficients:
+ASM_TYPE_DIRECTIVE(asin_coefficients,@object)
+data8  0xBB08911F2013961E, 0x00003FF8            // A10
+data8  0x981F1095A23A87D3, 0x00003FF8            // A9 
+data8  0xBDF09C6C4177BCC6, 0x00003FF8            // A8 
+data8  0xE4C3A60B049ACCEA, 0x00003FF8            // A7 
+data8  0x8E2789F4E8A8F1AD, 0x00003FF9            // A6 
+data8  0xB745D09B2B0E850B, 0x00003FF9            // A5 
+data8  0xF8E38E3BC4C50920, 0x00003FF9            // A4 
+data8  0xB6DB6DB6D89FCD81, 0x00003FFA            // A3 
+data8  0x99999999999AF376, 0x00003FFB            // A2 
+data8  0xAAAAAAAAAAAAAA71, 0x00003FFC            // A1
+
+data8  0xc90fdaa22168c234, 0x00003FFF            // pi_by_2_hi
+data8  0xc4c6628b80dc1cd1, 0x00003FBF            // pi_by_2_lo
+ASM_SIZE_DIRECTIVE(asin_coefficients)
+
+.align 32
+.global asinl#
 
 .section .text
-GLOBAL_LIBM_ENTRY(asinl)
-
-{.mfi
-       // get exponent, mantissa (rounded to double precision) of s
-       getf.d R_DBL_S = f8
-       // 1-s^2
-       fnma.s1 F_1S2 = f8, f8, f1
-       // r2 = pointer to T_table
-       addl r2 = @ltoff(T_table), gp
-}
-
-{.mfi
-       // sign mask
-       mov R_SGNMASK = 0x20000
-       nop.f 0
-       // bias-63-1
-       mov R_TMP03 = 0xffff-64;;
-}
-
-
-{.mfi
-       // get exponent of s
-       getf.exp R_EXP = f8
-       nop.f 0
-       // R_TMP4 = 2^45
-       shl R_TMP4 = R_SGNMASK, 45-17
-}
-
-{.mlx
-       // load bias-4
-       mov R_TMP = 0xffff-4
-       // load RU(sqrt(2)/2) to integer register (in double format, shifted left by 1)
-       movl R_TMP2 = 0x7fcd413cccfe779a;;
-}
-
-
-{.mfi
-       // load 2^{-64} in FP register
-       setf.exp F_2M64 = R_TMP03
-       nop.f 0
-       // index = (0x7-exponent)|b1 b2.. b6
-       extr.u R_INDEX = R_DBL_S, 46, 9
-}
-
-{.mfi
-       // get t = sign|exponent|b1 b2.. b6 1 x.. x
-       or R_T = R_DBL_S, R_TMP4
-       nop.f 0
-       // R_TMP4 = 2^45-1
-       sub R_TMP4 = R_TMP4, r0, 1;;
-}
-
-
-{.mfi
-       // get t = sign|exponent|b1 b2.. b6 1 0.. 0
-       andcm R_T = R_T, R_TMP4
-       nop.f 0
-       // eliminate sign from R_DBL_S (shift left by 1)
-       shl R_TMP3 = R_DBL_S, 1
-}
-
-{.mfi
-       // R_BIAS = 3*2^6
-       mov R_BIAS = 0xc0
-       nop.f 0
-       // eliminate sign from R_EXP
-       andcm R_EXP0 = R_EXP, R_SGNMASK;;
-}
-
-
-
-{.mfi
-       // load start address for T_table
-       ld8 r2 = [r2]
-       nop.f 0
-       // p8 = 1 if |s|> = sqrt(2)/2
-       cmp.geu p8, p0 = R_TMP3, R_TMP2
-}
-
-{.mlx
-       // p7 = 1 if |s|<2^{-4} (exponent of s<bias-4)
-       cmp.lt p7, p0 = R_EXP0, R_TMP
-       // sqrt coefficient cs8 = -33*13/128
-       movl R_TMP2 = 0xc0568000;;
-}
-
-
-
-{.mbb
-       // load t in FP register
-       setf.d F_T = R_T
-       // if |s|<2^{-4}, take alternate path
- (p7) br.cond.spnt SMALL_S
-       // if |s|> = sqrt(2)/2, take alternate path
- (p8) br.cond.sptk LARGE_S
-}
-
-{.mlx
-       // index = (4-exponent)|b1 b2.. b6
-       sub R_INDEX = R_INDEX, R_BIAS
-       // sqrt coefficient cs9 = 55*13/128
-       movl R_TMP = 0x40b2c000;;
-}
-
-
-{.mfi
-       // sqrt coefficient cs8 = -33*13/128
-       setf.s F_CS8 = R_TMP2
-       nop.f 0
-       // shift R_INDEX by 5
-       shl R_INDEX = R_INDEX, 5
-}
-
-{.mfi
-       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
-       mov R_TMP4 = 0xffff - 1
-       nop.f 0
-       // sqrt coefficient cs6 = -21/16
-       mov R_TMP6 = 0xbfa8;;
-}
-
-
-{.mlx
-       // table index
-       add r2 = r2, R_INDEX
-       // sqrt coefficient cs7 = 33/16
-       movl R_TMP2 = 0x40040000;;
-}
-
-
-{.mmi
-       // load cs9 = 55*13/128
-       setf.s F_CS9 = R_TMP
-       // sqrt coefficient cs5 = 7/8
-       mov R_TMP3 = 0x3f60
-       // sqrt coefficient cs6 = 21/16
-       shl R_TMP6 = R_TMP6, 16;;
-}
-
-
-{.mmi
-       // load significand of 1/(1-t^2)
-       ldf8 F_INV_1T2 = [r2], 8
-       // sqrt coefficient cs7 = 33/16
-       setf.s F_CS7 = R_TMP2
-       // sqrt coefficient cs4 = -5/8
-       mov R_TMP5 = 0xbf20;;
-}
-
-
-{.mmi
-       // load significand of sqrt(1-t^2)
-       ldf8 F_SQRT_1T2 = [r2], 8
-       // sqrt coefficient cs6 = 21/16
-       setf.s F_CS6 = R_TMP6
-       // sqrt coefficient cs5 = 7/8
-       shl R_TMP3 = R_TMP3, 16;;
-}
-
-
-{.mmi
-       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
-       setf.exp F_CS3 = R_TMP4
-       // r3 = pointer to polynomial coefficients
-       addl r3 = @ltoff(poly_coeffs), gp
-       // sqrt coefficient cs4 = -5/8
-       shl R_TMP5 = R_TMP5, 16;;
-}
-
-
-{.mfi
-       // sqrt coefficient cs5 = 7/8
-       setf.s F_CS5 = R_TMP3
-       // d = s-t
-       fms.s1 F_D = f8, f1, F_T
-       // set p6 = 1 if s<0, p11 = 1 if s> = 0
-       cmp.ge p6, p11 = R_EXP, R_DBL_S
-}
-
-{.mfi
-       // r3 = load start address to polynomial coefficients
-       ld8 r3 = [r3]
-       // s+t
-       fma.s1 F_S2T2 = f8, f1, F_T
-       nop.i 0;;
-}
-
-
-{.mfi
-       // sqrt coefficient cs4 = -5/8
-       setf.s F_CS4 = R_TMP5
-       // s^2-t^2
-       fma.s1 F_S2T2 = F_S2T2, F_D, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       // load C3
-       ldfe F_C3 = [r3], 16
-       // 0.5/(1-t^2) = 2^{-64}*(2^63/(1-t^2))
-       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
-       nop.i 0;;
-}
-
-{.mfi
-       // load C_5
-       ldfe F_C5 = [r3], 16
-       // set correct exponent for sqrt(1-t^2)
-       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       // load C_7, C_9
-       ldfpd F_C7, F_C9 = [r3]
-       // x = -(s^2-t^2)/(1-t^2)/2
-       fnma.s1 F_X = F_INV_1T2, F_S2T2, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       // load asin(t)_high, asin(t)_low
-       ldfpd F_ATHI, F_ATLO = [r2]
-       // t*sqrt(1-t^2)
-       fma.s1 F_TSQRT = F_T, F_SQRT_1T2, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // cs9*x+cs8
-       fma.s1 F_S89 = F_CS9, F_X, F_CS8
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // cs7*x+cs6
-       fma.s1 F_S67 = F_CS7, F_X, F_CS6
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // cs5*x+cs4
-       fma.s1 F_S45 = F_CS5, F_X, F_CS4
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // x*x
-       fma.s1 F_X2 = F_X, F_X, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (s-t)-t*x
-       fnma.s1 F_DTX = F_T, F_X, F_D
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // cs3*x+cs2 (cs2 = -0.5 = -cs3)
-       fms.s1 F_S23 = F_CS3, F_X, F_CS3
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // cs9*x^3+cs8*x^2+cs7*x+cs6
-       fma.s1 F_S69 = F_S89, F_X2, F_S67
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // x^4
-       fma.s1 F_X4 = F_X2, F_X2, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // t*sqrt(1-t^2)*x^2
-       fma.s1 F_TSQRT = F_TSQRT, F_X2, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // cs5*x^3+cs4*x^2+cs3*x+cs2
-       fma.s1 F_S25 = F_S45, F_X2, F_S23
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // ((s-t)-t*x)*sqrt(1-t^2)
-       fma.s1 F_DTX = F_DTX, F_SQRT_1T2, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // if sign is negative, negate table values: asin(t)_low
- (p6) fnma.s1 F_ATLO = F_ATLO, f1, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // PS29 = cs9*x^7+..+cs5*x^3+cs4*x^2+cs3*x+cs2
-       fma.s1 F_S29 = F_S69, F_X4, F_S25
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // if sign is negative, negate table values: asin(t)_high
- (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // R = ((s-t)-t*x)*sqrt(1-t^2)-t*sqrt(1-t^2)*x^2*PS29
-       fnma.s1 F_R = F_S29, F_TSQRT, F_DTX
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // R^2
-       fma.s1 F_R2 = F_R, F_R, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // c7+c9*R^2
-       fma.s1 F_P79 = F_C9, F_R2, F_C7
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c3+c5*R^2
-       fma.s1 F_P35 = F_C5, F_R2, F_C3
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // R^3
-       fma.s1 F_R4 = F_R2, F_R2, f0
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // R^3
-       fma.s1 F_R3 = F_R2, F_R, f0
-       nop.i 0;;
-}
-
-
-
-{.mfi
-       nop.m 0
-       // c3+c5*R^2+c7*R^4+c9*R^6
-       fma.s1 F_P39 = F_P79, F_R4, F_P35
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fma.s1 F_P39 = F_P39, F_R3, F_ATLO
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fma.s1 F_P39 = F_P39, f1, F_R
-       nop.i 0;;
-}
-
-
-{.mfb
-       nop.m 0
-       // result = asin(t)_high+R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fma.s0 f8 = F_ATHI, f1, F_P39
-       // return
-       br.ret.sptk b0;;
-}
-
-
-
-
-LARGE_S:
-
-{.mfi
-       // bias-1
-       mov R_TMP3 = 0xffff - 1
-       // y ~ 1/sqrt(1-s^2)
-       frsqrta.s1 F_Y, p7 = F_1S2
-       // c9 = 55*13*17/128
-       mov R_TMP4 = 0x10af7b
-}
-
-{.mlx
-       // c8 = -33*13*15/128
-       mov R_TMP5 = 0x184923
-       movl R_TMP2 = 0xff00000000000000;;
-}
-
-{.mfi
-       // set p6 = 1 if s<0, p11 = 1 if s>0
-       cmp.ge p6, p11 = R_EXP, R_DBL_S
-       // 1-s^2
-       fnma.s1 F_1S2 = f8, f8, f1
-       // set p9 = 1
-       cmp.eq p9, p0 = r0, r0;;
-}
+.proc  asinl#
+.align 32
 
 
-{.mfi
-       // load 0.5
-       setf.exp F_05 = R_TMP3
-       // (1-s^2) rounded to single precision
-       fnma.s.s1 F_1S2_S = f8, f8, f1
-       // c9 = 55*13*17/128
-       shl R_TMP4 = R_TMP4, 10
-}
-
-{.mlx
-       // AND mask for getting t ~ sqrt(1-s^2)
-       setf.sig F_ANDMASK = R_TMP2
-       // OR mask
-       movl R_TMP2 = 0x0100000000000000;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (s^2)_s
-       fma.s.s1 F_S2 = f8, f8, f0
-       nop.i 0;;
-}
-
-
-{.mmi
-       // c9 = 55*13*17/128
-       setf.s F_CS9 = R_TMP4
-       // c7 = 33*13/16
-       mov R_TMP4 = 0x41d68
-       // c8 = -33*13*15/128
-       shl R_TMP5 = R_TMP5, 11;;
-}
-
-
-{.mfi
-       setf.sig F_ORMASK = R_TMP2
-       // y^2
-       fma.s1 F_Y2 = F_Y, F_Y, f0
-       // c7 = 33*13/16
-       shl R_TMP4 = R_TMP4, 12
-}
-
-{.mfi
-       // c6 = -33*7/16
-       mov R_TMP6 = 0xc1670
-       // y' ~ sqrt(1-s^2)
-       fma.s1 F_T1 = F_Y, F_1S2, f0
-       // c5 = 63/8
-       mov R_TMP7 = 0x40fc;;
-}
-
-
-{.mlx
-       // load c8 = -33*13*15/128
-       setf.s F_CS8 = R_TMP5
-       // c4 = -35/8
-       movl R_TMP5 = 0xc08c0000;;
-}
-
-{.mfi
-       // r3 = pointer to polynomial coefficients
-       addl r3 = @ltoff(poly_coeffs), gp
-       // 1-(1-s^2)_s
-       fnma.s1 F_DS = F_1S2_S, f1, f1
-       // p9 = 0 if p7 = 1 (p9 = 1 for special cases only)
- (p7) cmp.ne p9, p0 = r0, r0
-}
-
-{.mlx
-       // load c7 = 33*13/16
-       setf.s F_CS7 = R_TMP4
-       // c3 = 5/2
-       movl R_TMP4 = 0x40200000;;
-}
-
-
-{.mfi
-       nop.m 0
-       // 1-(s^2)_s
-       fnma.s1 F_S_1S2S = F_S2, f1, f1
-       nop.i 0
-}
-
-{.mlx
-       // load c4 = -35/8
-       setf.s F_CS4 = R_TMP5
-       // c2 = -3/2
-       movl R_TMP5 = 0xbfc00000;;
-}
-
-
-{.mfi
-       // load c3 = 5/2
-       setf.s F_CS3 = R_TMP4
-       // x = (1-s^2)_s*y^2-1
-       fms.s1 F_X = F_1S2_S, F_Y2, f1
-       // c6 = -33*7/16
-       shl R_TMP6 = R_TMP6, 12
-}
-
-{.mfi
-       nop.m 0
-       // y^2/2
-       fma.s1 F_Y2_2 = F_Y2, F_05, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       // load c6 = -33*7/16
-       setf.s F_CS6 = R_TMP6
-       // eliminate lower bits from y'
-       fand F_T = F_T1, F_ANDMASK
-       // c5 = 63/8
-       shl R_TMP7 = R_TMP7, 16
-}
-
-{.mfb
-       // r3 = load start address to polynomial coefficients
-       ld8 r3 = [r3]
-       // 1-(1-s^2)_s-s^2
-       fnma.s1 F_DS = f8, f8, F_DS
-       // p9 = 1 if s is a special input (NaN, or |s|> = 1)
- (p9) br.cond.spnt ASINL_SPECIAL_CASES;;
-}
-
-{.mmf
-       // get exponent, significand of y' (in single prec.)
-       getf.s R_TMP = F_T1
-       // load c3 = -3/2
-       setf.s F_CS2 = R_TMP5
-       // y*(1-s^2)
-       fma.s1 F_Y1S2 = F_Y, F_1S2, f0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // x' = (y^2/2)*(1-(s^2)_s)-0.5
-       fms.s1 F_XL = F_Y2_2, F_S_1S2S, F_05
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // s^2-(s^2)_s
-       fms.s1 F_S_DS2 = f8, f8, F_S2
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // if s<0, set s = -s
- (p6) fnma.s1 f8 = f8, f1, f0
-       nop.i 0;;
-}
-
-{.mfi
-       // load c5 = 63/8
-       setf.s F_CS5 = R_TMP7
-       // x = (1-s^2)_s*y^2-1+(1-(1-s^2)_s-s^2)*y^2
-       fma.s1 F_X = F_DS, F_Y2, F_X
-       // for t = 2^k*1.b1 b2.., get 7-k|b1.. b6
-       extr.u R_INDEX = R_TMP, 17, 9;;
-}
-
-
-{.mmi
-       // index = (4-exponent)|b1 b2.. b6
-       sub R_INDEX = R_INDEX, R_BIAS
-       nop.m 0
-       // get exponent of y
-       shr.u R_TMP2 = R_TMP, 23;;
-}
-
-{.mmi
-       // load C3
-       ldfe F_C3 = [r3], 16
-       // set p8 = 1 if y'<2^{-4}
-       cmp.gt p8, p0 = 0x7b, R_TMP2
-       // shift R_INDEX by 5
-       shl R_INDEX = R_INDEX, 5;;
-}
-
-
-{.mfb
-       // get table index for sqrt(1-t^2)
-       add r2 = r2, R_INDEX
-       // get t = 2^k*1.b1 b2.. b7 1
-       for F_T = F_T, F_ORMASK
- (p8) br.cond.spnt VERY_LARGE_INPUT;;
-}
-
-
-
-{.mmf
-       // load C5
-       ldfe F_C5 = [r3], 16
-       // load 1/(1-t^2)
-       ldfp8 F_INV_1T2, F_SQRT_1T2 = [r2], 16
-       // x = ((1-s^2)*y^2-1)/2
-       fma.s1 F_X = F_X, F_05, f0;;
-}
-
-
-
-{.mmf
-       nop.m 0
-       // C7, C9
-       ldfpd F_C7, F_C9 = [r3], 16
-       // set correct exponent for t
-       fmerge.se F_T = F_T1, F_T;;
-}
-
-
-
-{.mfi
-       // pi/2 (low, high)
-       ldfpd F_PI2_LO, F_PI2_HI = [r3]
-       // c9*x+c8
-       fma.s1 F_S89 = F_X, F_CS9, F_CS8
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // x^2
-       fma.s1 F_X2 = F_X, F_X, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // y*(1-s^2)*x
-       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c7*x+c6
-       fma.s1 F_S67 = F_X, F_CS7, F_CS6
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // 1-x
-       fnma.s1 F_1X = F_X, f1, f1
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c3*x+c2
-       fma.s1 F_S23 = F_X, F_CS3, F_CS2
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // 1-t^2
-       fnma.s1 F_1T2 = F_T, F_T, f1
-       nop.i 0
-}
-
-{.mfi
-       // load asin(t)_high, asin(t)_low
-       ldfpd F_ATHI, F_ATLO = [r2]
-       // c5*x+c4
-       fma.s1 F_S45 = F_X, F_CS5, F_CS4
-       nop.i 0;;
-}
-
-
-
-{.mfi
-       nop.m 0
-       // t*s
-       fma.s1 F_TS = F_T, f8, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // 0.5/(1-t^2)
-       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // z~sqrt(1-t^2), rounded to 24 significant bits
-       fma.s.s1 F_Z = F_SQRT_1T2, F_2M64, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // sqrt(1-t^2)
-       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // y*(1-s^2)*x^2
-       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // x^4
-       fma.s1 F_X4 = F_X2, F_X2, f0
-       nop.i 0;;
-}
+asinl: 
 
-
-{.mfi
-       nop.m 0
-       // s*t rounded to 24 significant bits
-       fma.s.s1 F_TSS = F_T, f8, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c9*x^3+..+c6
-       fma.s1 F_S69 = F_X2, F_S89, F_S67
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // ST = (t^2-1+s^2) rounded to 24 significant bits
-       fms.s.s1 F_ST = f8, f8, F_1T2
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c5*x^3+..+c2
-       fma.s1 F_S25 = F_X2, F_S45, F_S23
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // 0.25/(1-t^2)
-       fma.s1 F_INV1T2_2 = F_05, F_INV_1T2, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // t*s-sqrt(1-t^2)*(1-s^2)*y
-       fnma.s1 F_TS = F_Y1S2, F_SQRT_1T2, F_TS
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // z*0.5/(1-t^2)
-       fma.s1 F_ZE = F_INV_1T2, F_SQRT_1T2, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // z^2+t^2-1
-       fms.s1 F_DZ0 = F_Z, F_Z, F_1T2
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (1-s^2-(1-s^2)_s)*x
-       fma.s1 F_DS2X = F_X, F_DS, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // t*s-(t*s)_s
-       fms.s1 F_DTS = F_T, f8, F_TSS
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c9*x^7+..+c2
-       fma.s1 F_S29 = F_X4, F_S69, F_S25
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // y*z
-       fma.s1 F_YZ = F_Z, F_Y, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // t^2
-       fma.s1 F_T2 = F_T, F_T, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // 1-t^2+ST
-       fma.s1 F_1T2_ST = F_ST, f1, F_1T2
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // y*(1-s^2)(1-x)
-       fma.s1 F_Y1S2_1X = F_Y1S2, F_1X, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // dz ~ sqrt(1-t^2)-z
-       fma.s1 F_DZ = F_DZ0, F_ZE, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // -1+correction for sqrt(1-t^2)-z
-       fnma.s1 F_CORR = F_INV1T2_2, F_DZ0, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (PS29*x^2+x)*y*(1-s^2)
-       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // z*y*(1-s^2)_s
-       fma.s1 F_ZY1S2S = F_YZ, F_1S2_S, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // s^2-(1-t^2+ST)
-       fms.s1 F_1T2_ST = f8, f8, F_1T2_ST
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x
-       fma.s1 F_DTS = F_YZ, F_DS2X, F_DTS
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // dz*y*(1-s^2)*(1-x)
-       fma.s1 F_DZ_TERM = F_DZ, F_Y1S2_1X, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // R = t*s-sqrt(1-t^2)*(1-s^2)*y+sqrt(1-t^2)*(1-s^2)*y*PS19
-       // (used for polynomial evaluation)
-       fma.s1 F_R = F_S19, F_SQRT_1T2, F_TS
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (PS29*x^2)*y*(1-s^2)
-       fma.s1 F_S29 = F_Y1S2X2, F_S29, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // apply correction to dz*y*(1-s^2)*(1-x)
-       fma.s1 F_DZ_TERM = F_DZ_TERM, F_CORR, F_DZ_TERM
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // R^2
-       fma.s1 F_R2 = F_R, F_R, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x+dz*y*(1-s^2)*(1-x)
-       fma.s1 F_DZ_TERM = F_DZ_TERM, f1, F_DTS
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // c7+c9*R^2
-       fma.s1 F_P79 = F_C9, F_R2, F_C7
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // c3+c5*R^2
-       fma.s1 F_P35 = F_C5, F_R2, F_C3
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // asin(t)_low-(pi/2)_low
-       fms.s1 F_ATLO = F_ATLO, f1, F_PI2_LO
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // R^4
-       fma.s1 F_R4 = F_R2, F_R2, f0
-       nop.i 0;;
-}
-
-{.mfi
-       nop.m 0
-       // R^3
-       fma.s1 F_R3 = F_R2, F_R, f0
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (t*s)_s-t^2*y*z
-       fnma.s1 F_TSS = F_T2, F_YZ, F_TSS
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)
-       fma.s1 F_DZ_TERM = F_YZ, F_1T2_ST, F_DZ_TERM
-       nop.i 0;;
-}
-
-
-{.mfi
-       nop.m 0
-       // (pi/2)_hi-asin(t)_hi
-       fms.s1 F_ATHI = F_PI2_HI, f1, F_ATHI
-       nop.i 0
+{ .mfi
+      alloc r32 = ar.pfs,1,11,4,0                        
+(p0)  fnorm      asin_NORM_f8 = f8                       
+(p0)  mov        asin_GR_17_ones = 0x1ffff               
 }
 
-{.mfi
-       nop.m 0
-       // c3+c5*R^2+c7*R^4+c9*R^6
-       fma.s1 F_P39 = F_P79, F_R4, F_P35
-       nop.i 0;;
+{ .mii
+(p0)  mov        asin_GR_16_ones = 0xffff                
+(p0)  mov        asin_GR_ff9b = 0xff9b ;;                   
+      nop.i 999
 }
 
 
-{.mfi
-       nop.m 0
-       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)+
-       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29
-       fma.s1 F_DZ_TERM = F_SQRT_1T2, F_S29, F_DZ_TERM
-       nop.i 0;;
+{ .mmi
+(p0)  setf.exp  asin_2m100 = asin_GR_ff9b                                      
+(p0)  addl           r40   = @ltoff(asin_coefficients), gp
+      nop.i 999
 }
+;;
 
-
-{.mfi
-       nop.m 0
-       // (t*s)_s-t^2*y*z+z*y*ST
-       fma.s1 F_TSS = F_YZ, F_ST, F_TSS
-       nop.i 0
+{ .mmi
+      ld8 r40 = [r40]
+      nop.m 999
+      nop.i 999
 }
+;;
 
-{.mfi
-       nop.m 0
-       // -asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fms.s1 F_P39 = F_P39, F_R3, F_ATLO
-       nop.i 0;;
-}
 
 
-{.mfi
-       nop.m 0
-       // if s<0, change sign of F_ATHI
- (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0
-       nop.i 0
-}
+// Load the constants
 
-{.mfi
-       nop.m 0
-       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
-       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 +
-       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fma.s1 F_DZ_TERM = F_P39, f1, F_DZ_TERM
-       nop.i 0;;
+{ .mmi
+(p0) ldfe       asin_A10 = [r40],16 ;;      
+(p0) ldfe       asin_A9  = [r40],16      
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
-       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
-       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
-       fma.s1 F_DZ_TERM = F_ZY1S2S, F_X, F_DZ_TERM
-       nop.i 0;;
+{ .mmi
+(p0) ldfe       asin_A8  = [r40],16 ;;      
+(p0) ldfe       asin_A7  = [r40],16      
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
-       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
-       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) +
-       // + (t*s)_s-t^2*y*z+z*y*ST
-       fma.s1 F_DZ_TERM = F_TSS, f1, F_DZ_TERM
-       nop.i 0;;
+{ .mmi
+(p0) ldfe       asin_A6  = [r40],16 ;;      
+(p0)  getf.exp   asin_GR_signexp_f8  = asin_NORM_f8                            
+      nop.i 999
 }
 
-
-.pred.rel "mutex", p6, p11
-{.mfi
-       nop.m 0
-       // result: add high part of pi/2-table value
-       // s>0 in this case
- (p11) fma.s0 f8 = F_DZ_TERM, f1, F_ATHI
-       nop.i 0
+{ .mmi
+(p0) ldfe       asin_A5  = [r40],16 ;;      
+(p0) ldfe       asin_A4  = [r40],16      
+      nop.i 999 ;;
 }
 
-{.mfb
-       nop.m 0
-       // result: add high part of pi/2-table value
-       // if s<0
- (p6) fnma.s0 f8 = F_DZ_TERM, f1, F_ATHI
-       br.ret.sptk b0;;
+{ .mfi
+      nop.m 999
+(p0) fmerge.s   asin_ABS_NORM_f8 = f0, asin_NORM_f8            
+(p0)  and        asin_GR_exp         = asin_GR_signexp_f8, asin_GR_17_ones ;;     
 }
 
+// case 1: |x| < 2^-40         ==> p6 (includes x = +-0)
+// case 2: 2^-40 <= |x| < 2^-2 ==> p8
+// case 3: 2^-2  <= |x| < 1    ==> p9
+// case 4: 1  <= |x|           ==> p11
+//   In case 4, we pick up the special case x = +-1 and return +-pi/2
 
-
-
-
-
-SMALL_S:
-
-       // use 15-term polynomial approximation
-
-{.mmi
-       // r3 = pointer to polynomial coefficients
-       addl r3 = @ltoff(poly_coeffs), gp;;
-       // load start address for coefficients
-       ld8 r3 = [r3]
-       mov R_TMP = 0x3fbf;;
+{ .mii
+(p0) ldfe       asin_A3  = [r40],16      
+(p0)  sub        asin_GR_true_exp    = asin_GR_exp, asin_GR_16_ones ;;            
+(p0)  cmp.ge.unc p6, p7    = -41, asin_GR_true_exp ;;             
 }
 
-
-{.mmi
-       add r2 = 64, r3
-       ldfe F_C3 = [r3], 16
-       // p7 = 1 if |s|<2^{-64} (exponent of s<bias-64)
-       cmp.lt p7, p0 = R_EXP0, R_TMP;;
+{ .mii
+(p0) ldfe       asin_A2  = [r40],16      
+(p7)  cmp.ge.unc p8, p9    = -3,  asin_GR_true_exp ;;             
+(p9)  cmp.ge.unc p10, p11  = -1,  asin_GR_true_exp              
 }
 
-{.mmf
-       ldfe F_C5 = [r3], 16
-       ldfpd F_C11, F_C13 = [r2], 16
-	   // 2^{-128}
-       fma.s1 F_2M128 = F_2M64, F_2M64, f0;;
+{ .mmi
+(p0) ldfe       asin_A1  = [r40],16 ;;      
+(p0) ldfe       asin_pi_by_2  = [r40],16 
+      nop.i 999
 }
 
-{.mmf
-       ldfpd F_C7, F_C9 = [r3]
-       ldfpd F_C15, F_C17 = [r2]
-       // if |s|<2^{-64}, return s+2^{-128}*s
- (p7) fma.s0 f8 = f8, F_2M128, f8;;
+// case 4: |x| >= 1
+{ .mib
+      nop.m 999
+      nop.i 999
+(p11) br.spnt         L(ASIN_ERROR_RETURN) ;;                         
 }
 
-
-
-{.mfb
-       nop.m 0
-       // s^2
-       fma.s1 F_R2 = f8, f8, f0
-       // if |s|<2^{-64}, return s
- (p7) br.ret.spnt b0;;
+// case 1: |x| < 2^-40
+{ .mfb
+      nop.m 999
+(p6)  fma.s0         f8 = asin_2m100,f8,f8                       
+(p6)  br.ret.spnt   b0 ;;                                          
 }
 
 
-{.mfi
-       nop.m 0
-       // s^3
-       fma.s1 F_R3 = f8, F_R2, f0
-       nop.i 0
-}
-
-{.mfi
-       nop.m 0
-       // s^4
-       fma.s1 F_R4 = F_R2, F_R2, f0
-       nop.i 0;;
+// case 2: 2^-40 <= |x| < 2^-2 ==> p8
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_X2   = f8,f8, f0                       
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c3+c5*s^2
-       fma.s1 F_P35 = F_C5, F_R2, F_C3
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_X4   = asin_X2,asin_X2, f0             
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // c11+c13*s^2
-       fma.s1 F_P1113 = F_C13, F_R2, F_C11
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P810 = asin_X4, asin_A10, asin_A8      
+      nop.i 999
 }
 
-
-{.mfi
-       nop.m 0
-       // c7+c9*s^2
-       fma.s1 F_P79 = F_C9, F_R2, F_C7
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P79  = asin_X4, asin_A9, asin_A7       
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // c15+c17*s^2
-       fma.s1 F_P1517 = F_C17, F_R2, F_C15
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P610 = asin_X4, asin_P810, asin_A6     
+      nop.i 999
 }
 
-
-{.mfi
-       nop.m 0
-       // s^8
-       fma.s1 F_R8 = F_R4, F_R4, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P59  = asin_X4, asin_P79, asin_A5      
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c3+c5*s^2+c7*s^4+c9*s^6
-       fma.s1 F_P39 = F_P79, F_R4, F_P35
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P410 = asin_X4, asin_P610, asin_A4     
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // c11+c13*s^2+c15*s^4+c17*s^6
-       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P39  = asin_X4, asin_P59, asin_A3      
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c3+..+c17*s^14
-       fma.s1 F_P317 = F_R8, F_P1117, F_P39
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P210 = asin_X4, asin_P410, asin_A2     
+      nop.i 999
 }
 
-
-{.mfb
-       nop.m 0
-       // result
-       fma.s0 f8 = F_P317, F_R3, f8
-       br.ret.sptk b0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P19  = asin_X4, asin_P39, asin_A1      
+      nop.i 999 ;;
 }
 
-
-{.mfb
-       nop.m 0
-       fma.s0 f8 = F_P317, F_R3, f0//F_P317, F_R3, F_S29
-       // nop.f 0//fma.s0 f8 = f13, f6, f0
-       br.ret.sptk b0;;
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P1P2    = asin_X2, asin_P210, asin_P19 
+      nop.i 999 ;;
 }
 
-
-
-
-
-       VERY_LARGE_INPUT:
-
-{.mfi
-       nop.m 0
-       // s rounded to 24 significant bits
-       fma.s.s1 F_S = f8, f1, f0
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p8)  fma.s1        asin_P1P2    = asin_X2, asin_P1P2, f0       
+      nop.i 999 ;;
 }
 
-{.mfi
-       // load C5
-       ldfe F_C5 = [r3], 16
-       // x = ((1-(s^2)_s)*y^2-1)/2-(s^2-(s^2)_s)*y^2/2
-       fnma.s1 F_X = F_S_DS2, F_Y2_2, F_XL
-       nop.i 0;;
+{ .mfb
+      nop.m 999
+(p8)  fma.s0        f8 = asin_NORM_f8, asin_P1P2, asin_NORM_f8  
+(p8)  br.ret.spnt   b0 ;;                                          
 }
 
+// case 3: 2^-2  <= |x| < 1    
+// 1- X*X is computed as B + b
+// Step 1.1:     Get B and b
 
-
-{.mmf
-       nop.m 0
-       // C7, C9
-       ldfpd F_C7, F_C9 = [r3], 16
-       nop.f 0;;
-}
-
+// atan2 will return
+//   f8  = Z_hi
+//   f10 = Z_lo
+//   f11 = s_lo
 
 
-{.mfi
-       // pi/2 (low, high)
-       ldfpd F_PI2_LO, F_PI2_HI = [r3], 16
-       // c9*x+c8
-       fma.s1 F_S89 = F_X, F_CS9, F_CS8
-       nop.i 0
-}
+{ .mfi
+(p0)  mov            asin_GR_fffe = 0xfffe                      
+(p0)   fmerge.se f8 = asin_ABS_NORM_f8, asin_ABS_NORM_f8                                   
+nop.i 0
+};;
 
-{.mfi
-       nop.m 0
-       // x^2
-       fma.s1 F_X2 = F_X, F_X, f0
-       nop.i 0;;
+{ .mmf
+nop.m 0
+(p0)   setf.exp       asin_HALF = asin_GR_fffe                   
+(p0)   fmerge.se f12 = asin_NORM_f8, asin_NORM_f8 ;;                         
 }
 
 
-{.mfi
-       nop.m 0
-       // y*(1-s^2)*x
-       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
-       nop.i 0
-}
-
-{.mfi
-       // C11, C13
-       ldfpd F_C11, F_C13 = [r3], 16
-       // c7*x+c6
-       fma.s1 F_S67 = F_X, F_CS7, F_CS6
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fcmp.lt.unc.s1 p6,p7 = asin_ABS_NORM_f8, asin_HALF        
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       // C15, C17
-       ldfpd F_C15, F_C17 = [r3], 16
-       // c3*x+c2
-       fma.s1 F_S23 = F_X, F_CS3, F_CS2
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p7)  fma.s1         asin_D   = f1,f1,asin_ABS_NORM_f8          
+      nop.i 999
 }
 
-
-{.mfi
-       nop.m 0
-       // c5*x+c4
-       fma.s1 F_S45 = F_X, F_CS5, F_CS4
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p7)  fms.s1         asin_C   = f1,f1,asin_ABS_NORM_f8          
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // (s_s)^2
-       fma.s1 F_DS = F_S, F_S, f0
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p7)  fma.s1         asin_B   = asin_C, asin_D, f0              
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // 1-(s_s)^2
-       fnma.s1 F_1S2_S = F_S, F_S, f1
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p7)  fms.s1         asin_1mD = f1,f1,asin_D                    
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // y*(1-s^2)*x^2
-       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p7)  fma.s1         asin_Dd  = asin_1mD,f1, asin_ABS_NORM_f8   
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // x^4
-       fma.s1 F_X4 = F_X2, F_X2, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p7)  fms.s1         asin_Bb  = asin_C, asin_D, asin_B          
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c9*x^3+..+c6
-       fma.s1 F_S69 = F_X2, F_S89, F_S67
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p7)  fma.s1         asin_Bb  = asin_C, asin_Dd, asin_Bb        
+      nop.i 999
 }
 
-
-{.mfi
-       nop.m 0
-       // c5*x^3+..+c2
-       fma.s1 F_S25 = F_X2, F_S45, F_S23
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p6)  fma.s1         asin_C   = asin_ABS_NORM_f8, asin_ABS_NORM_f8, f0     
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // ((s_s)^2-s^2)
-       fnma.s1 F_DS = f8, f8, F_DS
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p6)  fms.s1         asin_B   = f1, f1, asin_C                             
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // (pi/2)_high-y*(1-(s_s)^2)
-       fnma.s1 F_HI = F_Y, F_1S2_S, F_PI2_HI
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p6)  fms.s1         asin_Cc  = asin_ABS_NORM_f8, asin_ABS_NORM_f8, asin_C 
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c9*x^7+..+c2
-       fma.s1 F_S29 = F_X4, F_S69, F_S25
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_Hh     = asin_HALF, asin_B, f0                   
+      nop.i 999
 }
 
-
-{.mfi
-       nop.m 0
-       // -(y*(1-(s_s)^2))_high
-       fms.s1 F_1S2_HI = F_HI, f1, F_PI2_HI
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p6)  fms.s1         asin_1mB = f1, f1, asin_B                             
+      nop.i 999 ;;
 }
 
+// Step 1.2: 
+// sqrt(B + b) is computed as W + w
+// Get W
 
-{.mfi
-       nop.m 0
-       // (PS29*x^2+x)*y*(1-s^2)
-       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  frsqrta.s1     asin_y0,p8  = asin_B                                  
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // y*(1-(s_s)^2)-(y*(1-s^2))_high
-       fma.s1 F_DS2 = F_Y, F_1S2_S, F_1S2_HI
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p6)  fms.s1         asin_1mBmC = asin_1mB, f1, asin_C                     
+      nop.i 999 ;;
 }
 
-
-
-{.mfi
-       nop.m 0
-       // R ~ sqrt(1-s^2)
-       // (used for polynomial evaluation)
-       fnma.s1 F_R = F_S19, f1, F_Y1S2
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_t1     = asin_y0, asin_y0, f0                    
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // y*(1-s^2)-(y*(1-s^2))_high
-       fma.s1 F_DS2 = F_Y, F_DS, F_DS2
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p6)  fms.s1         asin_Bb  = asin_1mBmC, f1, asin_Cc                    
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)
-       fma.s1 F_S29 = F_Y1S2X2, F_S29, F_PI2_LO
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        asin_t2     = asin_t1, asin_Hh, asin_HALF             
+      nop.i 999 ;;
 }
 
-
-
-{.mfi
-       nop.m 0
-       // R^2
-       fma.s1 F_R2 = F_R, F_R, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_y1     = asin_t2, asin_y0, asin_y0               
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)
-       fms.s1 F_S29 = F_S29, f1, F_DS2
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_t3     = asin_y1, asin_Hh, f0                    
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c7+c9*R^2
-       fma.s1 F_P79 = F_C9, F_R2, F_C7
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        asin_t4     = asin_t3, asin_y1, asin_HALF             
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // c3+c5*R^2
-       fma.s1 F_P35 = F_C5, F_R2, F_C3
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_y2     = asin_t4, asin_y1, asin_y1               
+      nop.i 999 ;;
 }
 
-
-
-{.mfi
-       nop.m 0
-       // R^4
-       fma.s1 F_R4 = F_R2, F_R2, f0
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_S      = asin_B, asin_y2, f0                     
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // R^3
-       fma.s1 F_R3 = F_R2, F_R, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_H      = asin_y2, asin_HALF, f0                  
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c11+c13*R^2
-       fma.s1 F_P1113 = F_C13, F_R2, F_C11
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_t5     = asin_Hh, asin_y2, f0                    
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // c15+c17*R^2
-       fma.s1 F_P1517 = F_C17, F_R2, F_C15
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        asin_Dd     = asin_S, asin_S, asin_B                  
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)+y*(1-s^2)*x
-       fma.s1 F_S29 = F_Y1S2, F_X, F_S29
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_W      = asin_Dd, asin_H, asin_S                 
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c11+c13*R^2+c15*R^4+c17*R^6
-       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_2W       = asin_W, f1, asin_W                    
+      nop.i 999
 }
 
-{.mfi
-       nop.m 0
-       // c3+c5*R^2+c7*R^4+c9*R^6
-       fma.s1 F_P39 = F_P79, F_R4, F_P35
-       nop.i 0;;
+// Step 1.3
+// Get w
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        asin_BmWW     = asin_W, asin_W, asin_B                
+      nop.i 999 ;;
 }
 
+// Step 2
+// asin(x) = atan2(X,sqrt(1-X*X))
+//         = atan2(X, W) -Xw
+// corr = Xw
+// asin(x) = Z_hi + (s_lo*Z_lo - corr)
+// Call atan2(X, W)
+// Save W in f9 
+// Save X in f12 
+// Save w in f13
 
-{.mfi
-       nop.m 0
-       // R^8
-       fma.s1 F_R8 = F_R4, F_R4, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)   fmerge.se f9 = asin_W, asin_W                                      
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // c3+c5*R^2+c7*R^4+c9*R^6+..+c17*R^14
-       fma.s1 F_P317 = F_P1117, F_R8, F_P39
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_BmWWpb   = asin_BmWW, f1, asin_Bb                
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
-       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
-       fnma.s1 F_S29 = F_P317, F_R3, F_S29
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  frcpa.s1       asin_1d2W,p9  = f1, asin_2W                           
+      nop.i 999 ;;
 }
 
-{.mfi
-       nop.m 0
-       // set sign
-  (p6) fnma.s1 F_S29 = F_S29, f1, f0
-       nop.i 0
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         asin_Ww       = asin_BmWWpb, asin_1d2W, f0            
+      nop.i 999 ;;
 }
+.endp asinl
+ASM_SIZE_DIRECTIVE(asinl)
 
-{.mfi
-       nop.m 0
-  (p6) fnma.s1 F_HI = F_HI, f1, f0
-       nop.i 0;;
+.proc __libm_callout
+__libm_callout:
+.prologue
+{ .mfi
+        nop.m 0
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+};;
+{ .mfi
+        mov GR_SAVE_GP=gp                       // Save gp
+        nop.f 0
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
 }
-
-
+.body
 {.mfb
-       nop.m 0
-       // Result:
-       // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
-       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
-       // +(pi/2)_high-(y*(1-s^2))_high
-       fma.s0 f8 = F_S29, f1, F_HI
-       br.ret.sptk b0;;
-}
-
-
-
-
-
-
-
-
-
-       ASINL_SPECIAL_CASES:
-
-{.mfi
-       alloc r32 = ar.pfs, 1, 4, 4, 0
-       // check if the input is a NaN, or unsupported format
-       // (i.e. not infinity or normal/denormal)
-       fclass.nm p7, p8 = f8, 0x3f
-       // pointer to pi/2
-       add r3 = 48, r3;;
-}
-
+        nop.m 0
+(p0)    fmerge.se f13 = asin_Ww, asin_Ww                                   
+(p0)    br.call.sptk.many  b0=__libm_atan2_reg#                  
+};;
+{ .mfi
+        mov   gp = GR_SAVE_GP                  // Restore gp
+(p0)    fma.s1  asin_XWw  = asin_ABS_NORM_f8,f13,f0             
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+// asin_XWw = Xw = corr
+// asin_low = (s_lo * Z_lo - corr)
+// f8       = Z_hi + (s_lo * Z_lo - corr)
 
-{.mfi
-       // load pi/2
-       ldfpd F_PI2_HI, F_PI2_LO = [r3]
-       // get |s|
-       fmerge.s F_S = f0, f8
-       nop.i 0
-}
+{ .mfi
+        nop.m 999
+(p0)    fms.s1  asin_low  = f11, f10, asin_XWw                                
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+};;
 
-{.mfb
-       nop.m 0
-       // if NaN, quietize it, and return
- (p7) fma.s0 f8 = f8, f1, f0
- (p7) br.ret.spnt b0;;
+{ .mfi
+      nop.m 999
+(p0)   fma.s0  f8        = f8, f1, asin_low                                
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // |s| = 1 ?
-       fcmp.eq.s0 p9, p0 = F_S, f1
-       nop.i 0
+{ .mfb
+      nop.m 999
+(p0)   fmerge.s f8 = f12,f8 
+(p0)  br.ret.sptk   b0 ;;                                                    
 }
+.endp __libm_callout
+ASM_SIZE_DIRECTIVE(__libm_callout)
 
-{.mfi
-       nop.m 0
-       // load FR_X
-       fma.s1 FR_X = f8, f1, f0
-       // load error tag
-       mov GR_Parameter_TAG = 60;;
-}
+.proc SPECIAL
+SPECIAL:
+L(ASIN_ERROR_RETURN): 
 
+// If X is 1, return (sign of X)pi/2
 
-{.mfb
-       nop.m 0
-       // change sign if s = -1
- (p6)  fnma.s1 F_PI2_HI = F_PI2_HI, f1, f0
-       nop.b 0
+{ .mfi
+      nop.m 999
+(p0)  fcmp.eq.unc p6,p7 = asin_ABS_NORM_f8,f1   
+      nop.i 999 ;;
 }
 
-{.mfb
-       nop.m 0
-       // change sign if s = -1
- (p6)  fnma.s1 F_PI2_LO = F_PI2_LO, f1, f0
-       nop.b 0;;
+{ .mfb
+(p6) ldfe          asin_pi_by_2_lo  = [r40] 
+(p6) fmerge.s      asin_pi_by_2 = f8,asin_pi_by_2          
+     nop.b 0;;
 }
 
-{.mfb
-       nop.m 0
-       // if s = 1, result is pi/2
- (p9) fma.s0 f8 = F_PI2_HI, f1, F_PI2_LO
-       // return if |s| = 1
- (p9) br.ret.sptk b0;;
+// If X is a NAN, leave
+// qnan snan inf norm     unorm 0 -+
+// 1    1    0   0        0     0 11
+{ .mfb
+      nop.m 999
+(p6)  fma.s0     f8 = f8,asin_pi_by_2_lo,asin_pi_by_2              
+(p6)  br.ret.spnt   b0                           
 }
-
-
-{.mfi
-       nop.m 0
-       // get Infinity
-       frcpa.s1 FR_RESULT, p0 = f1, f0
-       nop.i 0;;
+{ .mfi
+      nop.m 999
+(p0)  fclass.m.unc p12,p0 = f8, 0xc3            
+      nop.i 999 ;;
 }
 
-
-{.mfi
-       nop.m 0
-       // return QNaN indefinite (0*Infinity)
-       fma.s0 FR_RESULT = f0, FR_RESULT, f0
-       nop.i 0;;
+{ .mfb
+      nop.m 999
+(p12) fma.s0 f8 = f8,f1,f0                       
+(p12) br.ret.spnt   b0 ;;                          
 }
+{ .mfi
+(p0)   mov   GR_Parameter_TAG = 60                   
+(p0)   frcpa f10, p6 = f0, f0                   
+nop.i 0
+};;
+.endp SPECIAL
+ASM_SIZE_DIRECTIVE(SPECIAL)
 
-
-GLOBAL_LIBM_END(asinl)
-
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
+.proc __libm_error_region
+__libm_error_region:
 .prologue
-// (1)
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
@@ -2471,29 +742,24 @@ LOCAL_LIBM_ENTRY(__libm_error_region)
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                           // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfe [GR_Parameter_Y] = f1,16         // Store Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        stfe [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
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfe [GR_Parameter_X] = FR_X              // Store Parameter 1 on stack
+        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
+        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
 };;
@@ -2502,27 +768,23 @@ LOCAL_LIBM_ENTRY(__libm_error_region)
         nop.m 0
         add   GR_Parameter_RESULT = 48,sp
 };;
-
-// (4)
 { .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   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)
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
 
-
-
-
-
+.type   __libm_atan2_reg#,@function
+.global __libm_atan2_reg#