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+.file "asinl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 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
+//==============================================================
+// 08/28/01 New version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double asinl(long double)
+//
+// Overview of operation
+//==============================================================
+// 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
+//
+// |s|<2^{-4}: evaluate as 17-degree polynomial
+// (or simply return s, if|s|<2^{-64})
+//
+// |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
+//
+
+
+
+// Registers used
+//==============================================================
+// 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
+
+ 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 0x85c9e62111a92e7d, 0xfa668ab6dec711b1
+data8 0x3fcad2224cf814e0, 0x3c303de5980d071c
+data8 0x85e725e947fbee97, 0xfa4b3015e883dbfe
+data8 0x3fcb13943f7d5f80, 0x3cc29d4eefa5cb1e
+data8 0x8604b8a7144cd054, 0xfa2f90fa9883a543
+data8 0x3fcb550d625bc6a0, 0x3c9e01a746152daf
+data8 0x86229ebff69e2415, 0xfa13ad4e3dfbe1c1
+data8 0x3fcb968dc9195ea0, 0x3ccc091bd73ae518
+data8 0x8640d89acf78858c, 0xf9f784f9e5a1877b
+data8 0x3fcbd815874eb160, 0x3cb5f4b89875e187
+data8 0x865f669fe390c7f5, 0xf9db17e65944eacf
+data8 0x3fcc19a4b0a6f9c0, 0x3cc5c0bc2b0bbf14
+data8 0x867e4938df7dc45f, 0xf9be65fc1f6c2e6e
+data8 0x3fcc5b3b58e061e0, 0x3cc1ca70df8f57e7
+data8 0x869d80d0db7e4c0c, 0xf9a16f237aec427a
+data8 0x3fcc9cd993cc4040, 0x3cbae93acc85eccf
+data8 0x86bd0dd45f4f8265, 0xf98433446a806e70
+data8 0x3fccde7f754f5660, 0x3cb22f70e64568d0
+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
+data8 0x3fceaae56fdee040, 0x3cad6b310d6fd46c
+data8 0x87c5add5417a5cb9, 0xf89093cb0b7c0233
+data8 0x3fceeccb5bb33900, 0x3cc16e99cedadb20
+data8 0x87e84fa9057914ca, 0xf870e64d40a15036
+data8 0x3fcf2eb9a4bcb600, 0x3cc75ee47c8b09e9
+data8 0x880b4b780f02b709, 0xf850f2c9fdacdf78
+data8 0x3fcf70b05fb02e20, 0x3cad6350d379f41a
+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)
+
+
+
+.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
+
+
+.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;;
+}
+
+
+{.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;;
+}
+
+
+{.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
+ 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
+ // 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;;
+}
+
+
+{.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
+}
+
+{.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
+}
+
+{.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;;
+}
+
+
+{.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;;
+}
+
+
+{.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;;
+}
+
+
+.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
+}
+
+{.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;;
+}
+
+
+
+
+
+
+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;;
+}
+
+
+{.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;;
+}
+
+{.mmf
+ ldfe F_C5 = [r3], 16
+ ldfpd F_C11, F_C13 = [r2], 16
+ // 2^{-128}
+ fma.s1 F_2M128 = F_2M64, F_2M64, f0;;
+}
+
+{.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;;
+}
+
+
+
+{.mfb
+ nop.m 0
+ // s^2
+ fma.s1 F_R2 = f8, f8, f0
+ // if |s|<2^{-64}, return s
+ (p7) 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;;
+}
+
+
+{.mfi
+ nop.m 0
+ // c3+c5*s^2
+ fma.s1 F_P35 = F_C5, F_R2, F_C3
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ // c11+c13*s^2
+ fma.s1 F_P1113 = F_C13, F_R2, F_C11
+ nop.i 0;;
+}
+
+
+{.mfi
+ nop.m 0
+ // c7+c9*s^2
+ fma.s1 F_P79 = F_C9, F_R2, F_C7
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ // c15+c17*s^2
+ fma.s1 F_P1517 = F_C17, F_R2, F_C15
+ nop.i 0;;
+}
+
+
+{.mfi
+ nop.m 0
+ // s^8
+ fma.s1 F_R8 = F_R4, F_R4, f0
+ nop.i 0;;
+}
+
+
+{.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 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 0
+ // c3+..+c17*s^14
+ fma.s1 F_P317 = F_R8, F_P1117, F_P39
+ nop.i 0;;
+}
+
+
+{.mfb
+ nop.m 0
+ // result
+ fma.s0 f8 = F_P317, F_R3, f8
+ br.ret.sptk b0;;
+}
+
+
+{.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;;
+}
+
+
+
+
+
+ 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
+ // 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;;
+}
+
+
+
+{.mmf
+ nop.m 0
+ // C7, C9
+ ldfpd F_C7, F_C9 = [r3], 16
+ nop.f 0;;
+}
+
+
+
+{.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
+ 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
+ // 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
+ // 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 0
+ // c5*x+c4
+ fma.s1 F_S45 = F_X, F_CS5, F_CS4
+ nop.i 0;;
+}
+
+
+{.mfi
+ nop.m 0
+ // (s_s)^2
+ fma.s1 F_DS = F_S, F_S, f0
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ // 1-(s_s)^2
+ fnma.s1 F_1S2_S = F_S, F_S, f1
+ 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;;
+}
+
+
+{.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
+ // c5*x^3+..+c2
+ fma.s1 F_S25 = F_X2, F_S45, F_S23
+ nop.i 0;;
+}
+
+
+{.mfi
+ nop.m 0
+ // ((s_s)^2-s^2)
+ fnma.s1 F_DS = f8, f8, F_DS
+ nop.i 0
+}
+
+{.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 0
+ // c9*x^7+..+c2
+ fma.s1 F_S29 = F_X4, F_S69, F_S25
+ nop.i 0;;
+}
+
+
+{.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 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
+ // 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 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 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 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 0
+ // R^2
+ fma.s1 F_R2 = F_R, F_R, f0
+ nop.i 0;;
+}
+
+
+{.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 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^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
+ // c11+c13*R^2
+ fma.s1 F_P1113 = F_C13, F_R2, F_C11
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ // c15+c17*R^2
+ fma.s1 F_P1517 = F_C17, F_R2, F_C15
+ nop.i 0;;
+}
+
+
+{.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 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 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
+ // R^8
+ fma.s1 F_R8 = F_R4, F_R4, f0
+ nop.i 0;;
+}
+
+
+{.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 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 0
+ // set sign
+ (p6) fnma.s1 F_S29 = F_S29, f1, f0
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ (p6) fnma.s1 F_HI = F_HI, f1, f0
+ nop.i 0;;
+}
+
+
+{.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;;
+}
+
+
+{.mfi
+ // load pi/2
+ ldfpd F_PI2_HI, F_PI2_LO = [r3]
+ // get |s|
+ fmerge.s F_S = f0, f8
+ nop.i 0
+}
+
+{.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 0
+ // |s| = 1 ?
+ fcmp.eq.s0 p9, p0 = F_S, f1
+ nop.i 0
+}
+
+{.mfi
+ nop.m 0
+ // load FR_X
+ fma.s1 FR_X = f8, f1, f0
+ // load error tag
+ mov GR_Parameter_TAG = 60;;
+}
+
+
+{.mfb
+ nop.m 0
+ // change sign if s = -1
+ (p6) fnma.s1 F_PI2_HI = F_PI2_HI, f1, f0
+ nop.b 0
+}
+
+{.mfb
+ nop.m 0
+ // change sign if s = -1
+ (p6) fnma.s1 F_PI2_LO = F_PI2_LO, f1, f0
+ 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;;
+}
+
+
+{.mfi
+ nop.m 0
+ // get Infinity
+ frcpa.s1 FR_RESULT, p0 = f1, f0
+ nop.i 0;;
+}
+
+
+{.mfi
+ nop.m 0
+ // return QNaN indefinite (0*Infinity)
+ fma.s0 FR_RESULT = f0, FR_RESULT, f0
+ nop.i 0;;
+}
+
+
+GLOBAL_LIBM_END(asinl)
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+// (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
+ stfe [GR_Parameter_Y] = f1,16 // 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
+ 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
+};;
+
+// (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 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#
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