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-.file "acoshf.s"
-
-
-// Copyright (c) 2000 - 2003, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-//
-// ==============================================================
-// History
-// ==============================================================
-// 03/28/01 Initial version
-// 04/19/01 Improved speed of the paths #1,2,3,4,5
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/06/03 Reordered header: .section, .global, .proc, .align
-// 05/14/03 Improved performance, set denormal flag for unorms >= 1.0
-//
-// API
-// ==============================================================
-// float acoshf(float)
-//
-// Overview of operation
-// ==============================================================
-//
-// There are 7 paths:
-// 1. x = 1.0
-// Return acoshf(x) = 0.0
-// 2. 1.0 < x < 1.000499725341796875(0x3FF0020C00000000)
-// Return acoshf(x) = sqrt(x-1) * Pol4(x),
-// where Pol4(x) = (x*C2 + C1)*(x-1) + C0
-//
-// 3. 1.000499725341796875(0x3FF0020C00000000) <= x < 2^51
-// Return acoshf(x) = log(x + sqrt(x^2 -1.0))
-// To compute x + sqrt(x^2 -1.0) modified Newton Raphson method is used
-// (2 iterations)
-// Algorithm description for log function see below.
-//
-// 4. 2^51 <= x < +INF
-// Return acoshf(x) = log(2*x)
-// Algorithm description for log function see below.
-//
-// 5. x = +INF
-// Return acoshf(x) = +INF
-//
-// 6. x = [S,Q]NaN
-// Return acoshf(x) = QNaN
-//
-// 7. x < 1.0
-// It's domain error. Error handler with tag = 137 is called
-//
-//==============================================================
-// Algorithm Description for log(x) function
-// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always
-// true for this acosh implementation
-//
-// Consider x = 2^N 1.f1 f2 f3 f4...f63
-// Log(x) = log(frcpa(x) x/frcpa(x))
-// = log(1/frcpa(x)) + log(frcpa(x) x)
-// = -log(frcpa(x)) + log(frcpa(x) x)
-//
-// frcpa(x) = 2^-N frcpa((1.f1 f2 ... f63)
-//
-// -log(frcpa(x)) = -log(C)
-// = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
-//
-// -log(frcpa(x)) = -log(C)
-// = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
-//
-// -log(frcpa(x)) = -log(C)
-// = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
-//
-// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
-//
-// Log(x) = +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
-// Log(x) = +Nlog2 - log(/frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
-// Log(x) = +Nlog2 + T + log(frcpa(x) x)
-//
-// Log(x) = +Nlog2 + T + log(C x)
-//
-// Cx = 1 + r
-//
-// Log(x) = +Nlog2 + T + log(1+r)
-// Log(x) = +Nlog2 + T + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
-//
-// 1.f1 f2 ... f8 has 256 entries.
-// They are 1 + k/2^8, k = 0 ... 255
-// These 256 values are the table entries.
-//
-// Implementation
-//==============================================================
-// C = frcpa(x)
-// r = C * x - 1
-//
-// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
-//
-// x = f * 2*n where f is 1.f_1f_2f_3....f_63
-// Nfloat = float(n) where n is the true unbiased exponent
-// pre-index = f_1f_2....f_8
-// index = pre_index * 8
-// get the dxt table entry at index + offset = T
-//
-// result = (T + Nfloat * log(2)) + rseries
-//
-// The T table is calculated as follows
-// Form x_k = 1 + k/2^8 where k goes from 0... 255
-// y_k = frcpa(x_k)
-// log(1/y_k) in quad and round to double
-//
-
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input
-// f9 -> f15, f32 -> f62
-//
-// General registers used:
-// r14 -> r27, r32 -> r39
-//
-// Predicate registers used:
-// p6 -> p15
-//
-// p6 to filter out case when x = [Q,S]NaN
-// p7,p8 to filter out case when x < 1.0
-//
-// p10 to select path #1
-// p11 to filter out case when x = +INF
-// p12 used in the frcpa
-// p13 to select path #4
-// p14,p15 to select path #2
-
-// Assembly macros
-//==============================================================
-log_GR_exp_17_ones = r14
-log_GR_signexp_f8 = r15
-log_table_address2 = r16
-log_GR_exp_16_ones = r17
-log_GR_exp_f8 = r18
-log_GR_true_exp_f8 = r19
-log_GR_significand_f8 = r20
-log_GR_index = r21
-log_GR_comp2 = r22
-acosh_GR_f8 = r23
-log_GR_comp = r24
-acosh_GR_f8_sig = r25
-log_table_address3 = r26
-NR_table_address = r27
-
-GR_SAVE_B0 = r33
-GR_SAVE_GP = r34
-GR_SAVE_PFS = r35
-
-GR_Parameter_X = r36
-GR_Parameter_Y = r37
-GR_Parameter_RESULT = r38
-acosh_GR_tag = r39
-
-//==============================================================
-log_y = f9
-NR1 = f10
-NR2 = f11
-log_y_rs = f12
-log_y_rs_iter = f13
-log_y_rs_iter1 = f14
-log_NORM_f8 = f15
-log_w = f32
-acosh_comp = f34
-acosh_comp2 = f33
-log_P3 = f35
-log_P2 = f36
-log_P1 = f37
-log2 = f38
-log_C0 = f39
-log_C1 = f40
-log_C2 = f41
-acosh_w_rs = f42
-log_C = f43
-log_arg = f44
-acosh_w_iter1 = f45
-acosh_w_iter2 = f46
-log_int_Nfloat = f47
-log_r = f48
-log_rsq = f49
-log_rp_p4 = f50
-log_rp_p32 = f51
-log_rcube = f52
-log_rp_p10 = f53
-log_rp_p2 = f54
-log_Nfloat = f55
-log_T = f56
-log_r2P_r = f57
-log_T_plus_Nlog2 = f58
-acosh_w_sqrt = f59
-acosh_w_1 = f60
-log_arg_early = f61
-log_y_rs_iter2 = f62
-
-
-// Data tables
-//==============================================================
-
-RODATA
-.align 16
-
-LOCAL_OBJECT_START(log_table_1)
-data8 0xbfd0001008f39d59 // p3
-data8 0x3fd5556073e0c45a // p2
-data8 0xbfdffffffffaea15 // p1
-data8 0x3FE62E42FEFA39EF // log2
-LOCAL_OBJECT_END(log_table_1)
-
-LOCAL_OBJECT_START(log_table_2)
-
-data8 0x3FE0000000000000 // 0.5
-data8 0x4008000000000000 // 3.0
-data8 0xD92CBAD213719F11, 0x00003FF9 // C2 3FF9D92CBAD213719F11
-data8 0x93D38EBF2EC9B073, 0x0000BFFC // C1 BFFC93D38EBF2EC9B073
-data8 0xB504F333F9DA0E32, 0x00003FFF // C0 3FFFB504F333F9DA0E32
-LOCAL_OBJECT_END(log_table_2)
-
-LOCAL_OBJECT_START(log_table_3)
-data8 0x3F60040155D5889E //log(1/frcpa(1+ 0/256)
-data8 0x3F78121214586B54 //log(1/frcpa(1+ 1/256)
-data8 0x3F841929F96832F0 //log(1/frcpa(1+ 2/256)
-data8 0x3F8C317384C75F06 //log(1/frcpa(1+ 3/256)
-data8 0x3F91A6B91AC73386 //log(1/frcpa(1+ 4/256)
-data8 0x3F95BA9A5D9AC039 //log(1/frcpa(1+ 5/256)
-data8 0x3F99D2A8074325F4 //log(1/frcpa(1+ 6/256)
-data8 0x3F9D6B2725979802 //log(1/frcpa(1+ 7/256)
-data8 0x3FA0C58FA19DFAAA //log(1/frcpa(1+ 8/256)
-data8 0x3FA2954C78CBCE1B //log(1/frcpa(1+ 9/256)
-data8 0x3FA4A94D2DA96C56 //log(1/frcpa(1+ 10/256)
-data8 0x3FA67C94F2D4BB58 //log(1/frcpa(1+ 11/256)
-data8 0x3FA85188B630F068 //log(1/frcpa(1+ 12/256)
-data8 0x3FAA6B8ABE73AF4C //log(1/frcpa(1+ 13/256)
-data8 0x3FAC441E06F72A9E //log(1/frcpa(1+ 14/256)
-data8 0x3FAE1E6713606D07 //log(1/frcpa(1+ 15/256)
-data8 0x3FAFFA6911AB9301 //log(1/frcpa(1+ 16/256)
-data8 0x3FB0EC139C5DA601 //log(1/frcpa(1+ 17/256)
-data8 0x3FB1DBD2643D190B //log(1/frcpa(1+ 18/256)
-data8 0x3FB2CC7284FE5F1C //log(1/frcpa(1+ 19/256)
-data8 0x3FB3BDF5A7D1EE64 //log(1/frcpa(1+ 20/256)
-data8 0x3FB4B05D7AA012E0 //log(1/frcpa(1+ 21/256)
-data8 0x3FB580DB7CEB5702 //log(1/frcpa(1+ 22/256)
-data8 0x3FB674F089365A7A //log(1/frcpa(1+ 23/256)
-data8 0x3FB769EF2C6B568D //log(1/frcpa(1+ 24/256)
-data8 0x3FB85FD927506A48 //log(1/frcpa(1+ 25/256)
-data8 0x3FB9335E5D594989 //log(1/frcpa(1+ 26/256)
-data8 0x3FBA2B0220C8E5F5 //log(1/frcpa(1+ 27/256)
-data8 0x3FBB0004AC1A86AC //log(1/frcpa(1+ 28/256)
-data8 0x3FBBF968769FCA11 //log(1/frcpa(1+ 29/256)
-data8 0x3FBCCFEDBFEE13A8 //log(1/frcpa(1+ 30/256)
-data8 0x3FBDA727638446A2 //log(1/frcpa(1+ 31/256)
-data8 0x3FBEA3257FE10F7A //log(1/frcpa(1+ 32/256)
-data8 0x3FBF7BE9FEDBFDE6 //log(1/frcpa(1+ 33/256)
-data8 0x3FC02AB352FF25F4 //log(1/frcpa(1+ 34/256)
-data8 0x3FC097CE579D204D //log(1/frcpa(1+ 35/256)
-data8 0x3FC1178E8227E47C //log(1/frcpa(1+ 36/256)
-data8 0x3FC185747DBECF34 //log(1/frcpa(1+ 37/256)
-data8 0x3FC1F3B925F25D41 //log(1/frcpa(1+ 38/256)
-data8 0x3FC2625D1E6DDF57 //log(1/frcpa(1+ 39/256)
-data8 0x3FC2D1610C86813A //log(1/frcpa(1+ 40/256)
-data8 0x3FC340C59741142E //log(1/frcpa(1+ 41/256)
-data8 0x3FC3B08B6757F2A9 //log(1/frcpa(1+ 42/256)
-data8 0x3FC40DFB08378003 //log(1/frcpa(1+ 43/256)
-data8 0x3FC47E74E8CA5F7C //log(1/frcpa(1+ 44/256)
-data8 0x3FC4EF51F6466DE4 //log(1/frcpa(1+ 45/256)
-data8 0x3FC56092E02BA516 //log(1/frcpa(1+ 46/256)
-data8 0x3FC5D23857CD74D5 //log(1/frcpa(1+ 47/256)
-data8 0x3FC6313A37335D76 //log(1/frcpa(1+ 48/256)
-data8 0x3FC6A399DABBD383 //log(1/frcpa(1+ 49/256)
-data8 0x3FC70337DD3CE41B //log(1/frcpa(1+ 50/256)
-data8 0x3FC77654128F6127 //log(1/frcpa(1+ 51/256)
-data8 0x3FC7E9D82A0B022D //log(1/frcpa(1+ 52/256)
-data8 0x3FC84A6B759F512F //log(1/frcpa(1+ 53/256)
-data8 0x3FC8AB47D5F5A310 //log(1/frcpa(1+ 54/256)
-data8 0x3FC91FE49096581B //log(1/frcpa(1+ 55/256)
-data8 0x3FC981634011AA75 //log(1/frcpa(1+ 56/256)
-data8 0x3FC9F6C407089664 //log(1/frcpa(1+ 57/256)
-data8 0x3FCA58E729348F43 //log(1/frcpa(1+ 58/256)
-data8 0x3FCABB55C31693AD //log(1/frcpa(1+ 59/256)
-data8 0x3FCB1E104919EFD0 //log(1/frcpa(1+ 60/256)
-data8 0x3FCB94EE93E367CB //log(1/frcpa(1+ 61/256)
-data8 0x3FCBF851C067555F //log(1/frcpa(1+ 62/256)
-data8 0x3FCC5C0254BF23A6 //log(1/frcpa(1+ 63/256)
-data8 0x3FCCC000C9DB3C52 //log(1/frcpa(1+ 64/256)
-data8 0x3FCD244D99C85674 //log(1/frcpa(1+ 65/256)
-data8 0x3FCD88E93FB2F450 //log(1/frcpa(1+ 66/256)
-data8 0x3FCDEDD437EAEF01 //log(1/frcpa(1+ 67/256)
-data8 0x3FCE530EFFE71012 //log(1/frcpa(1+ 68/256)
-data8 0x3FCEB89A1648B971 //log(1/frcpa(1+ 69/256)
-data8 0x3FCF1E75FADF9BDE //log(1/frcpa(1+ 70/256)
-data8 0x3FCF84A32EAD7C35 //log(1/frcpa(1+ 71/256)
-data8 0x3FCFEB2233EA07CD //log(1/frcpa(1+ 72/256)
-data8 0x3FD028F9C7035C1C //log(1/frcpa(1+ 73/256)
-data8 0x3FD05C8BE0D9635A //log(1/frcpa(1+ 74/256)
-data8 0x3FD085EB8F8AE797 //log(1/frcpa(1+ 75/256)
-data8 0x3FD0B9C8E32D1911 //log(1/frcpa(1+ 76/256)
-data8 0x3FD0EDD060B78081 //log(1/frcpa(1+ 77/256)
-data8 0x3FD122024CF0063F //log(1/frcpa(1+ 78/256)
-data8 0x3FD14BE2927AECD4 //log(1/frcpa(1+ 79/256)
-data8 0x3FD180618EF18ADF //log(1/frcpa(1+ 80/256)
-data8 0x3FD1B50BBE2FC63B //log(1/frcpa(1+ 81/256)
-data8 0x3FD1DF4CC7CF242D //log(1/frcpa(1+ 82/256)
-data8 0x3FD214456D0EB8D4 //log(1/frcpa(1+ 83/256)
-data8 0x3FD23EC5991EBA49 //log(1/frcpa(1+ 84/256)
-data8 0x3FD2740D9F870AFB //log(1/frcpa(1+ 85/256)
-data8 0x3FD29ECDABCDFA04 //log(1/frcpa(1+ 86/256)
-data8 0x3FD2D46602ADCCEE //log(1/frcpa(1+ 87/256)
-data8 0x3FD2FF66B04EA9D4 //log(1/frcpa(1+ 88/256)
-data8 0x3FD335504B355A37 //log(1/frcpa(1+ 89/256)
-data8 0x3FD360925EC44F5D //log(1/frcpa(1+ 90/256)
-data8 0x3FD38BF1C3337E75 //log(1/frcpa(1+ 91/256)
-data8 0x3FD3C25277333184 //log(1/frcpa(1+ 92/256)
-data8 0x3FD3EDF463C1683E //log(1/frcpa(1+ 93/256)
-data8 0x3FD419B423D5E8C7 //log(1/frcpa(1+ 94/256)
-data8 0x3FD44591E0539F49 //log(1/frcpa(1+ 95/256)
-data8 0x3FD47C9175B6F0AD //log(1/frcpa(1+ 96/256)
-data8 0x3FD4A8B341552B09 //log(1/frcpa(1+ 97/256)
-data8 0x3FD4D4F3908901A0 //log(1/frcpa(1+ 98/256)
-data8 0x3FD501528DA1F968 //log(1/frcpa(1+ 99/256)
-data8 0x3FD52DD06347D4F6 //log(1/frcpa(1+ 100/256)
-data8 0x3FD55A6D3C7B8A8A //log(1/frcpa(1+ 101/256)
-data8 0x3FD5925D2B112A59 //log(1/frcpa(1+ 102/256)
-data8 0x3FD5BF406B543DB2 //log(1/frcpa(1+ 103/256)
-data8 0x3FD5EC433D5C35AE //log(1/frcpa(1+ 104/256)
-data8 0x3FD61965CDB02C1F //log(1/frcpa(1+ 105/256)
-data8 0x3FD646A84935B2A2 //log(1/frcpa(1+ 106/256)
-data8 0x3FD6740ADD31DE94 //log(1/frcpa(1+ 107/256)
-data8 0x3FD6A18DB74A58C5 //log(1/frcpa(1+ 108/256)
-data8 0x3FD6CF31058670EC //log(1/frcpa(1+ 109/256)
-data8 0x3FD6F180E852F0BA //log(1/frcpa(1+ 110/256)
-data8 0x3FD71F5D71B894F0 //log(1/frcpa(1+ 111/256)
-data8 0x3FD74D5AEFD66D5C //log(1/frcpa(1+ 112/256)
-data8 0x3FD77B79922BD37E //log(1/frcpa(1+ 113/256)
-data8 0x3FD7A9B9889F19E2 //log(1/frcpa(1+ 114/256)
-data8 0x3FD7D81B037EB6A6 //log(1/frcpa(1+ 115/256)
-data8 0x3FD8069E33827231 //log(1/frcpa(1+ 116/256)
-data8 0x3FD82996D3EF8BCB //log(1/frcpa(1+ 117/256)
-data8 0x3FD85855776DCBFB //log(1/frcpa(1+ 118/256)
-data8 0x3FD8873658327CCF //log(1/frcpa(1+ 119/256)
-data8 0x3FD8AA75973AB8CF //log(1/frcpa(1+ 120/256)
-data8 0x3FD8D992DC8824E5 //log(1/frcpa(1+ 121/256)
-data8 0x3FD908D2EA7D9512 //log(1/frcpa(1+ 122/256)
-data8 0x3FD92C59E79C0E56 //log(1/frcpa(1+ 123/256)
-data8 0x3FD95BD750EE3ED3 //log(1/frcpa(1+ 124/256)
-data8 0x3FD98B7811A3EE5B //log(1/frcpa(1+ 125/256)
-data8 0x3FD9AF47F33D406C //log(1/frcpa(1+ 126/256)
-data8 0x3FD9DF270C1914A8 //log(1/frcpa(1+ 127/256)
-data8 0x3FDA0325ED14FDA4 //log(1/frcpa(1+ 128/256)
-data8 0x3FDA33440224FA79 //log(1/frcpa(1+ 129/256)
-data8 0x3FDA57725E80C383 //log(1/frcpa(1+ 130/256)
-data8 0x3FDA87D0165DD199 //log(1/frcpa(1+ 131/256)
-data8 0x3FDAAC2E6C03F896 //log(1/frcpa(1+ 132/256)
-data8 0x3FDADCCC6FDF6A81 //log(1/frcpa(1+ 133/256)
-data8 0x3FDB015B3EB1E790 //log(1/frcpa(1+ 134/256)
-data8 0x3FDB323A3A635948 //log(1/frcpa(1+ 135/256)
-data8 0x3FDB56FA04462909 //log(1/frcpa(1+ 136/256)
-data8 0x3FDB881AA659BC93 //log(1/frcpa(1+ 137/256)
-data8 0x3FDBAD0BEF3DB165 //log(1/frcpa(1+ 138/256)
-data8 0x3FDBD21297781C2F //log(1/frcpa(1+ 139/256)
-data8 0x3FDC039236F08819 //log(1/frcpa(1+ 140/256)
-data8 0x3FDC28CB1E4D32FD //log(1/frcpa(1+ 141/256)
-data8 0x3FDC4E19B84723C2 //log(1/frcpa(1+ 142/256)
-data8 0x3FDC7FF9C74554C9 //log(1/frcpa(1+ 143/256)
-data8 0x3FDCA57B64E9DB05 //log(1/frcpa(1+ 144/256)
-data8 0x3FDCCB130A5CEBB0 //log(1/frcpa(1+ 145/256)
-data8 0x3FDCF0C0D18F326F //log(1/frcpa(1+ 146/256)
-data8 0x3FDD232075B5A201 //log(1/frcpa(1+ 147/256)
-data8 0x3FDD490246DEFA6B //log(1/frcpa(1+ 148/256)
-data8 0x3FDD6EFA918D25CD //log(1/frcpa(1+ 149/256)
-data8 0x3FDD9509707AE52F //log(1/frcpa(1+ 150/256)
-data8 0x3FDDBB2EFE92C554 //log(1/frcpa(1+ 151/256)
-data8 0x3FDDEE2F3445E4AF //log(1/frcpa(1+ 152/256)
-data8 0x3FDE148A1A2726CE //log(1/frcpa(1+ 153/256)
-data8 0x3FDE3AFC0A49FF40 //log(1/frcpa(1+ 154/256)
-data8 0x3FDE6185206D516E //log(1/frcpa(1+ 155/256)
-data8 0x3FDE882578823D52 //log(1/frcpa(1+ 156/256)
-data8 0x3FDEAEDD2EAC990C //log(1/frcpa(1+ 157/256)
-data8 0x3FDED5AC5F436BE3 //log(1/frcpa(1+ 158/256)
-data8 0x3FDEFC9326D16AB9 //log(1/frcpa(1+ 159/256)
-data8 0x3FDF2391A2157600 //log(1/frcpa(1+ 160/256)
-data8 0x3FDF4AA7EE03192D //log(1/frcpa(1+ 161/256)
-data8 0x3FDF71D627C30BB0 //log(1/frcpa(1+ 162/256)
-data8 0x3FDF991C6CB3B379 //log(1/frcpa(1+ 163/256)
-data8 0x3FDFC07ADA69A910 //log(1/frcpa(1+ 164/256)
-data8 0x3FDFE7F18EB03D3E //log(1/frcpa(1+ 165/256)
-data8 0x3FE007C053C5002E //log(1/frcpa(1+ 166/256)
-data8 0x3FE01B942198A5A1 //log(1/frcpa(1+ 167/256)
-data8 0x3FE02F74400C64EB //log(1/frcpa(1+ 168/256)
-data8 0x3FE04360BE7603AD //log(1/frcpa(1+ 169/256)
-data8 0x3FE05759AC47FE34 //log(1/frcpa(1+ 170/256)
-data8 0x3FE06B5F1911CF52 //log(1/frcpa(1+ 171/256)
-data8 0x3FE078BF0533C568 //log(1/frcpa(1+ 172/256)
-data8 0x3FE08CD9687E7B0E //log(1/frcpa(1+ 173/256)
-data8 0x3FE0A10074CF9019 //log(1/frcpa(1+ 174/256)
-data8 0x3FE0B5343A234477 //log(1/frcpa(1+ 175/256)
-data8 0x3FE0C974C89431CE //log(1/frcpa(1+ 176/256)
-data8 0x3FE0DDC2305B9886 //log(1/frcpa(1+ 177/256)
-data8 0x3FE0EB524BAFC918 //log(1/frcpa(1+ 178/256)
-data8 0x3FE0FFB54213A476 //log(1/frcpa(1+ 179/256)
-data8 0x3FE114253DA97D9F //log(1/frcpa(1+ 180/256)
-data8 0x3FE128A24F1D9AFF //log(1/frcpa(1+ 181/256)
-data8 0x3FE1365252BF0865 //log(1/frcpa(1+ 182/256)
-data8 0x3FE14AE558B4A92D //log(1/frcpa(1+ 183/256)
-data8 0x3FE15F85A19C765B //log(1/frcpa(1+ 184/256)
-data8 0x3FE16D4D38C119FA //log(1/frcpa(1+ 185/256)
-data8 0x3FE18203C20DD133 //log(1/frcpa(1+ 186/256)
-data8 0x3FE196C7BC4B1F3B //log(1/frcpa(1+ 187/256)
-data8 0x3FE1A4A738B7A33C //log(1/frcpa(1+ 188/256)
-data8 0x3FE1B981C0C9653D //log(1/frcpa(1+ 189/256)
-data8 0x3FE1CE69E8BB106B //log(1/frcpa(1+ 190/256)
-data8 0x3FE1DC619DE06944 //log(1/frcpa(1+ 191/256)
-data8 0x3FE1F160A2AD0DA4 //log(1/frcpa(1+ 192/256)
-data8 0x3FE2066D7740737E //log(1/frcpa(1+ 193/256)
-data8 0x3FE2147DBA47A394 //log(1/frcpa(1+ 194/256)
-data8 0x3FE229A1BC5EBAC3 //log(1/frcpa(1+ 195/256)
-data8 0x3FE237C1841A502E //log(1/frcpa(1+ 196/256)
-data8 0x3FE24CFCE6F80D9A //log(1/frcpa(1+ 197/256)
-data8 0x3FE25B2C55CD5762 //log(1/frcpa(1+ 198/256)
-data8 0x3FE2707F4D5F7C41 //log(1/frcpa(1+ 199/256)
-data8 0x3FE285E0842CA384 //log(1/frcpa(1+ 200/256)
-data8 0x3FE294294708B773 //log(1/frcpa(1+ 201/256)
-data8 0x3FE2A9A2670AFF0C //log(1/frcpa(1+ 202/256)
-data8 0x3FE2B7FB2C8D1CC1 //log(1/frcpa(1+ 203/256)
-data8 0x3FE2C65A6395F5F5 //log(1/frcpa(1+ 204/256)
-data8 0x3FE2DBF557B0DF43 //log(1/frcpa(1+ 205/256)
-data8 0x3FE2EA64C3F97655 //log(1/frcpa(1+ 206/256)
-data8 0x3FE3001823684D73 //log(1/frcpa(1+ 207/256)
-data8 0x3FE30E97E9A8B5CD //log(1/frcpa(1+ 208/256)
-data8 0x3FE32463EBDD34EA //log(1/frcpa(1+ 209/256)
-data8 0x3FE332F4314AD796 //log(1/frcpa(1+ 210/256)
-data8 0x3FE348D90E7464D0 //log(1/frcpa(1+ 211/256)
-data8 0x3FE35779F8C43D6E //log(1/frcpa(1+ 212/256)
-data8 0x3FE36621961A6A99 //log(1/frcpa(1+ 213/256)
-data8 0x3FE37C299F3C366A //log(1/frcpa(1+ 214/256)
-data8 0x3FE38AE2171976E7 //log(1/frcpa(1+ 215/256)
-data8 0x3FE399A157A603E7 //log(1/frcpa(1+ 216/256)
-data8 0x3FE3AFCCFE77B9D1 //log(1/frcpa(1+ 217/256)
-data8 0x3FE3BE9D503533B5 //log(1/frcpa(1+ 218/256)
-data8 0x3FE3CD7480B4A8A3 //log(1/frcpa(1+ 219/256)
-data8 0x3FE3E3C43918F76C //log(1/frcpa(1+ 220/256)
-data8 0x3FE3F2ACB27ED6C7 //log(1/frcpa(1+ 221/256)
-data8 0x3FE4019C2125CA93 //log(1/frcpa(1+ 222/256)
-data8 0x3FE4181061389722 //log(1/frcpa(1+ 223/256)
-data8 0x3FE42711518DF545 //log(1/frcpa(1+ 224/256)
-data8 0x3FE436194E12B6BF //log(1/frcpa(1+ 225/256)
-data8 0x3FE445285D68EA69 //log(1/frcpa(1+ 226/256)
-data8 0x3FE45BCC464C893A //log(1/frcpa(1+ 227/256)
-data8 0x3FE46AED21F117FC //log(1/frcpa(1+ 228/256)
-data8 0x3FE47A1527E8A2D3 //log(1/frcpa(1+ 229/256)
-data8 0x3FE489445EFFFCCC //log(1/frcpa(1+ 230/256)
-data8 0x3FE4A018BCB69835 //log(1/frcpa(1+ 231/256)
-data8 0x3FE4AF5A0C9D65D7 //log(1/frcpa(1+ 232/256)
-data8 0x3FE4BEA2A5BDBE87 //log(1/frcpa(1+ 233/256)
-data8 0x3FE4CDF28F10AC46 //log(1/frcpa(1+ 234/256)
-data8 0x3FE4DD49CF994058 //log(1/frcpa(1+ 235/256)
-data8 0x3FE4ECA86E64A684 //log(1/frcpa(1+ 236/256)
-data8 0x3FE503C43CD8EB68 //log(1/frcpa(1+ 237/256)
-data8 0x3FE513356667FC57 //log(1/frcpa(1+ 238/256)
-data8 0x3FE522AE0738A3D8 //log(1/frcpa(1+ 239/256)
-data8 0x3FE5322E26867857 //log(1/frcpa(1+ 240/256)
-data8 0x3FE541B5CB979809 //log(1/frcpa(1+ 241/256)
-data8 0x3FE55144FDBCBD62 //log(1/frcpa(1+ 242/256)
-data8 0x3FE560DBC45153C7 //log(1/frcpa(1+ 243/256)
-data8 0x3FE5707A26BB8C66 //log(1/frcpa(1+ 244/256)
-data8 0x3FE587F60ED5B900 //log(1/frcpa(1+ 245/256)
-data8 0x3FE597A7977C8F31 //log(1/frcpa(1+ 246/256)
-data8 0x3FE5A760D634BB8B //log(1/frcpa(1+ 247/256)
-data8 0x3FE5B721D295F10F //log(1/frcpa(1+ 248/256)
-data8 0x3FE5C6EA94431EF9 //log(1/frcpa(1+ 249/256)
-data8 0x3FE5D6BB22EA86F6 //log(1/frcpa(1+ 250/256)
-data8 0x3FE5E6938645D390 //log(1/frcpa(1+ 251/256)
-data8 0x3FE5F673C61A2ED2 //log(1/frcpa(1+ 252/256)
-data8 0x3FE6065BEA385926 //log(1/frcpa(1+ 253/256)
-data8 0x3FE6164BFA7CC06B //log(1/frcpa(1+ 254/256)
-data8 0x3FE62643FECF9743 //log(1/frcpa(1+ 255/256)
-LOCAL_OBJECT_END(log_table_3)
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(acoshf)
-
-{ .mfi
- getf.exp acosh_GR_f8 = f8
- fclass.m p6,p0 = f8, 0xc3 // Test for x = NaN
- mov log_GR_comp2 = 0x10032
-}
-{ .mfi
- addl NR_table_address = @ltoff(log_table_1), gp
- fms.s1 log_y = f8, f8, f1 // y = x^2-1
- nop.i 0
-}
-;;
-
-{ .mfi
- getf.sig acosh_GR_f8_sig = f8
- fclass.m p11,p0 = f8, 0x21 // Test for x=+inf
- mov log_GR_exp_17_ones = 0x1ffff
-}
-{ .mfi
- ld8 NR_table_address = [NR_table_address]
- fms.s1 log_w = f8,f1,f1 // w = x - 1
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fcmp.lt.s1 p7,p8 = f8, f1 // Test for x<1.0
- addl log_GR_comp = 0x10020C,r0 // Upper 21 bits of signif of 1.0005
-}
-{ .mfb
- mov log_GR_exp_16_ones = 0xffff //BIAS
-(p6) fma.s.s0 f8 = f8,f1,f0 // quietize nan result if x=nan
-(p6) br.ret.spnt b0 // Exit for x=nan
-}
-;;
-
-{ .mfb
- //get second table address
- adds log_table_address2 = 0x20, NR_table_address
- fcmp.eq.s1 p10,p0 = f8, f1 // Test for x=+1.0
-(p11) br.ret.spnt b0 // Exit for x=+inf
-}
-;;
-
-{ .mfi
- ldfpd NR1,NR2 = [log_table_address2],16
- frsqrta.s1 log_y_rs,p0 = log_y // z=1/sqrt(y)
- nop.i 0
-}
-{ .mfb
- nop.m 0
- fma.s1 log_arg = f8,f1,f8
-(p7) br.cond.spnt ACOSH_LESS_ONE // Branch if path 7, x < 1.0
-}
-;;
-
-{ .mfi
- ldfe log_C2 = [log_table_address2],16
-(p8) fcmp.eq.s0 p6,p0 = f8, f0 // Dummy op sets denorm flag if unorm>=1.0
- nop.i 0
-}
-{ .mfb
-(p8) cmp.le.unc p13,p0 = log_GR_comp2,acosh_GR_f8
- nop.f 0
-(p13) br.cond.spnt LOG_COMMON1 // Branch if path 4, x >= 2^51
-}
-;;
-
-{ .mfi
- ldfe log_C1 = [log_table_address2],16
-(p10) fmerge.s f8 = f0, f0 // Return 0 if x=1.0
- shr.u acosh_GR_f8_sig = acosh_GR_f8_sig,43
-}
-{ .mib
- cmp.eq p14,p0 = log_GR_exp_16_ones,acosh_GR_f8
- nop.i 0
-(p10) br.ret.spnt b0 // Exit for x=1.0
-}
-;;
-
-{ .mfi
- ldfe log_C0 = [log_table_address2],16
- frsqrta.s1 acosh_w_rs,p0 = log_w // t=1/sqrt(w)
- nop.i 0
-}
-{ .mfb
-(p14) cmp.lt.unc p15,p0 = acosh_GR_f8_sig,log_GR_comp
- nop.f 0
-(p15) br.cond.spnt ACOSH_NEAR_ONE // Branch if path 2, 1.0 < x < 1.0005
-}
-;;
-
-// Here is main path, 1.0005 <= x < 2^51
-/////////////// The first iteration //////////////////////////////////
-{ .mfi
- ldfpd log_P3,log_P2 = [NR_table_address],16
- fma.s1 log_y_rs_iter = log_y_rs,log_y,f0 // y*z
- nop.i 0
-}
-;;
-
-{ .mfi
- ldfpd log_P1,log2 = [NR_table_address],16
- fnma.s1 log_y_rs_iter2 = log_y_rs_iter,log_y_rs,NR2 // 3-(y*z)*z
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_y_rs_iter1 = log_y_rs,NR1,f0 // 0.5*z
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- // (0.5*z)*(3-(y*z)*z)
- fma.s1 log_y_rs_iter = log_y_rs_iter1,log_y_rs_iter2,f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- // (0.5*z)*(3-(y*z)*z)
- fma.s1 log_arg_early = log_y_rs_iter1,log_y_rs_iter2,f0
- nop.i 0
-}
-;;
-
-/////////////////////////// The second iteration /////////////////////////////
-{ .mfi
- nop.m 0
- fma.s1 log_y_rs = log_y_rs_iter,log_y,f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_y_rs_iter1 = log_y_rs_iter,NR1,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_arg_early = log_arg_early,log_y,f8
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fnma.s1 log_y_rs = log_y_rs,log_y_rs_iter,NR2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_y_rs_iter1 = log_y_rs_iter1,log_y,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- frcpa.s1 log_C,p0 = f1,log_arg_early
- nop.i 0
-}
-;;
-
-{ .mfi
- getf.exp log_GR_signexp_f8 = log_arg_early
- nop.f 0
- nop.i 0
-}
-;;
-
-{ .mfi
- getf.sig log_GR_significand_f8 = log_arg_early
- fma.s1 log_arg = log_y_rs_iter1,log_y_rs,f8 // (0.5*z)*(3-(y*z)*z)
- adds log_table_address3 = 0x40, NR_table_address
-}
-;;
-
-///////////////////////////////// The end NR iterations /////////////////////
-
-{ .mmi
- //significant bit destruction
- and log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
-;;
- //BIAS subtraction
- sub log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
- nop.i 0
-}
-;;
-
-{ .mfi
- setf.sig log_int_Nfloat = log_GR_true_exp_f8
- fms.s1 log_r = log_C,log_arg,f1 // C = frcpa(x); r = C * x - 1
- extr.u log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
-}
-;;
-
-{ .mmi
- //pre-index*8 + index
- shladd log_table_address3 = log_GR_index,3,log_table_address3
-;;
- ldfd log_T = [log_table_address3]
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_rsq = log_r, log_r, f0 //r^2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_rp_p10 = log_P1, log_r, f1 //P1*r + 1.0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- //convert N to the floating-point format log_Nfloat
- fcvt.xf log_Nfloat = log_int_Nfloat
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- //(P3*r + P2)*r^2 + P1*r + 1.0
- fma.s1 log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_T_plus_Nlog2 = log_Nfloat,log2,log_T //N*log2 + T
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fma.s.s0 f8 = log_rp_p2,log_r,log_T_plus_Nlog2
- br.ret.sptk b0 // Exit main path, path 3: 1.0005 <= x < 2^51
-}
-;;
-
-// Here if path 2, 1.0 < x < 1.0005
-ACOSH_NEAR_ONE:
-// The first NR iteration
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_iter1 = acosh_w_rs,log_w,f0 //t*w
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_1 = f8,log_C2,log_C1 //x*C2 + C1
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_iter2 = acosh_w_rs,NR1,f0 //t*0.5
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fnma.s1 acosh_w_iter1 = acosh_w_iter1,acosh_w_rs,NR2 //3-t*t*w
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- //(3-t*t*w)*t*0.5
- fma.s1 acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_1 = acosh_w_1,log_w,log_C0 //(x*C2 + C1)*(x-1) + C0
- nop.i 0
-}
-;;
-
-// The second NR iteration
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_rs = acosh_w_iter2,log_w,f0 //t*w
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fnma.s1 acosh_w_iter1 = acosh_w_iter2,acosh_w_rs,NR2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_iter2 = acosh_w_iter2,NR1,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 acosh_w_sqrt = acosh_w_iter2,log_w,f0
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fma.s.s0 f8 = acosh_w_1,acosh_w_sqrt,f0
- br.ret.sptk b0 // Exit path 2, 1.0 < x < 1.0005
-}
-;;
-
-// Here if path 4, x >= 2^51
-LOG_COMMON1:
-{ .mfi
- ldfpd log_P3,log_P2 = [NR_table_address],16
- frcpa.s1 log_C,p0 = f1,log_arg
- nop.i 0
-}
-;;
-
-{ .mmi
- getf.exp log_GR_signexp_f8 = log_arg
- ldfpd log_P1,log2 = [NR_table_address],16
- nop.i 0
-}
-;;
-
-{ .mmi
- getf.sig log_GR_significand_f8 = log_arg
- nop.m 0
- nop.i 0
-}
-;;
-
-{ .mfi
- adds log_table_address3 = 0x40, NR_table_address
- nop.f 0
- //significant bit destruction
- and log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
-}
-;;
-
-{ .mmf
- nop.m 0
- //BIAS subtraction
- sub log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
- fms.s1 log_r = log_C,log_arg,f1 // C = frcpa(x); r = C * x - 1
-}
-;;
-
-{ .mfi
- setf.sig log_int_Nfloat = log_GR_true_exp_f8
- nop.f 0
- extr.u log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
-}
-;;
-
-{ .mmi
- //pre-index*8 + index
- shladd log_table_address3 = log_GR_index,3,log_table_address3
-;;
- ldfd log_T = [log_table_address3]
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_rsq = log_r, log_r, f0 //r^2
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_rp_p10 = log_P1, log_r, f1 //P1*r + 1.0
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- //convert N to the floating-point format log_Nfloat
- fcvt.xf log_Nfloat = log_int_Nfloat
- nop.i 0
-}
-{ .mfi
- nop.m 0
- fma.s1 log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fma.s1 log_T_plus_Nlog2 = log_Nfloat,log2,log_T //N*log2 + T
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fma.s.s0 f8 = log_rp_p2,log_r,log_T_plus_Nlog2
- br.ret.sptk b0 // Exit path 4, x >= 2^51
-}
-;;
-
-// Here if path 7, x < 1.0
-ACOSH_LESS_ONE:
-{ .mfi
- alloc r32 = ar.pfs,1,3,4,0
- fmerge.s f10 = f8,f8
- nop.i 0
-}
-;;
-
-{ .mfb
- mov acosh_GR_tag = 137
- frcpa.s0 f8,p0 = f0,f0
- br.cond.sptk __libm_error_region
-}
-;;
-
-GLOBAL_LIBM_END(acoshf)
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-
-{ .mfi
- add GR_Parameter_Y=-32,sp // Parameter 2 value
- nop.f 0
-.save ar.pfs,GR_SAVE_PFS
- mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
-}
-{ .mfi
-.fframe 64
- add sp=-64,sp // Create new stack
- nop.f 0
- mov GR_SAVE_GP=gp // Save gp
-};;
-
-{ .mmi
- stfs [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
-{ .mib
- stfs [GR_Parameter_X] = f10 // STORE Parameter 1 on stack
- add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
- nop.b 0
-}
-{ .mib
- stfs [GR_Parameter_Y] = f8 // STORE Parameter 3 on stack
- add GR_Parameter_Y = -16,GR_Parameter_Y
- br.call.sptk b0=__libm_error_support# // Call error handling function
-};;
-
-{ .mmi
- add GR_Parameter_RESULT = 48,sp
- nop.m 0
- nop.i 0
-};;
-
-{ .mmi
- ldfs 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#