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Diffstat (limited to 'sysdeps/ia64/fpu/s_log1pf.S')
| -rw-r--r-- | sysdeps/ia64/fpu/s_log1pf.S | 788 |
1 files changed, 0 insertions, 788 deletions
diff --git a/sysdeps/ia64/fpu/s_log1pf.S b/sysdeps/ia64/fpu/s_log1pf.S deleted file mode 100644 index b04b18ed74..0000000000 --- a/sysdeps/ia64/fpu/s_log1pf.S +++ /dev/null @@ -1,788 +0,0 @@ -.file "log1pf.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 -//============================================================== -// 02/02/00 Initial version -// 04/04/00 Unwind support added -// 08/15/00 Bundle added after call to __libm_error_support to properly -// set [the previously overwritten] GR_Parameter_RESULT. -// 06/29/01 Improved speed of all paths -// 05/20/02 Cleaned up namespace and sf0 syntax -// 10/02/02 Improved performance by basing on log algorithm -// 02/10/03 Reordered header: .section, .global, .proc, .align -// 04/18/03 Eliminate possible WAW dependency warning -// 12/16/03 Fixed parameter passing to/from error handling routine -// -// API -//============================================================== -// float log1pf(float) -// -// log1p(x) = log(x+1) -// -// Overview of operation -//============================================================== -// Background -// ---------- -// -// This algorithm is based on fact that -// log1p(x) = log(1+x) and -// log(a b) = log(a) + log(b). -// In our case we have 1+x = 2^N f, where 1 <= f < 2. -// So -// log(1+x) = log(2^N f) = log(2^N) + log(f) = n*log(2) + log(f) -// -// To calculate log(f) we do following -// log(f) = log(f * frcpa(f) / frcpa(f)) = -// = log(f * frcpa(f)) + log(1/frcpa(f)) -// -// According to definition of IA-64's frcpa instruction it's a -// floating point that approximates 1/f using a lookup on the -// top of 8 bits of the input number's + 1 significand with relative -// error < 2^(-8.886). So we have following -// -// |(1/f - frcpa(f)) / (1/f))| = |1 - f*frcpa(f)| < 1/256 -// -// and -// -// log(f) = log(f * frcpa(f)) + log(1/frcpa(f)) = -// = log(1 + r) + T -// -// The first value can be computed by polynomial P(r) approximating -// log(1 + r) on |r| < 1/256 and the second is precomputed tabular -// value defined by top 8 bit of f. -// -// Finally we have that log(1+x) ~ (N*log(2) + T) + P(r) -// -// Note that if input argument is close to 0.0 (in our case it means -// that |x| < 1/256) we can use just polynomial approximation -// because 1+x = 2^0 * f = f = 1 + r and -// log(1+x) = log(1 + r) ~ P(r) -// -// -// Implementation -// -------------- -// -// 1. |x| >= 2^(-8), and x > -1 -// InvX = frcpa(x+1) -// r = InvX*(x+1) - 1 -// P(r) = r*((1 - A2*4) + r^2*(A3 - A4*r)) = r*P2(r), -// A4,A3,A2 are created with setf instruction. -// We use Taylor series and so A4 = 1/4, A3 = 1/3, -// A2 = 1/2 rounded to double. -// -// N = float(n) where n is true unbiased exponent of x -// -// T is tabular value of log(1/frcpa(x)) calculated in quad precision -// and rounded to double. To load T we get bits from 55 to 62 of register -// format significand as index and calculate address -// ad_T = table_base_addr + 8 * index -// -// L1 (log(2)) is calculated in quad precision and rounded to double; -// it's created with setf -// -// And final result = P2(r)*r + (T + N*L1) -// -// -// 2. 2^(-40) <= |x| < 2^(-8) -// r = x -// P(r) = r*((1 - A2*4) + r^2*(A3 - A4*r)) = r*P2(r), -// A4,A3,A2 are the same as in case |x| >= 1/256 -// -// And final result = P2(r)*r -// -// 3. 0 < |x| < 2^(-40) -// Although log1p(x) is basically x, we would like to preserve the inexactness -// nature as well as consistent behavior under different rounding modes. -// We can do this by computing the result as -// -// log1p(x) = x - x*x -// -// -// Note: NaT, any NaNs, +/-INF, +/-0, negatives and unnormalized numbers are -// filtered and processed on special branches. -// - -// -// Special values -//============================================================== -// -// log1p(-1) = -inf // Call error support -// -// log1p(+qnan) = +qnan -// log1p(-qnan) = -qnan -// log1p(+snan) = +qnan -// log1p(-snan) = -qnan -// -// log1p(x),x<-1= QNAN Indefinite // Call error support -// log1p(-inf) = QNAN Indefinite -// log1p(+inf) = +inf -// log1p(+/-0) = +/-0 -// -// -// Registers used -//============================================================== -// Floating Point registers used: -// f8, input -// f7 -> f15, f32 -> f36 -// -// General registers used: -// r8 -> r11 -// r14 -> r22 -// -// Predicate registers used: -// p6 -> p12 - -// Assembly macros -//============================================================== -GR_TAG = r8 -GR_ad_T = r9 -GR_Exp = r10 -GR_N = r11 - -GR_signexp_x = r14 -GR_exp_mask = r15 -GR_exp_bias = r16 -GR_05 = r17 -GR_A3 = r18 -GR_Sig = r19 -GR_Ind = r19 -GR_exp_x = r20 -GR_Ln2 = r21 -GR_025 = r22 - - -GR_SAVE_B0 = r33 -GR_SAVE_PFS = r34 -GR_SAVE_GP = r35 -GR_SAVE_SP = r36 - -GR_Parameter_X = r37 -GR_Parameter_Y = r38 -GR_Parameter_RESULT = r39 -GR_Parameter_TAG = r40 - - - -FR_NormX = f7 -FR_RcpX = f9 -FR_r = f10 -FR_r2 = f11 -FR_r4 = f12 -FR_N = f13 -FR_Ln2 = f14 -FR_Xp1 = f15 - -FR_A4 = f33 -FR_A3 = f34 -FR_A2 = f35 - -FR_T = f36 -FR_NxLn2pT = f36 - - - -FR_Y = f1 -FR_X = f10 -FR_RESULT = f8 - - -// Data -//============================================================== -RODATA -.align 16 - -LOCAL_OBJECT_START(log_data) -// ln(1/frcpa(1+i/256)), i=0...255 -data8 0x3F60040155D5889E // 0 -data8 0x3F78121214586B54 // 1 -data8 0x3F841929F96832F0 // 2 -data8 0x3F8C317384C75F06 // 3 -data8 0x3F91A6B91AC73386 // 4 -data8 0x3F95BA9A5D9AC039 // 5 -data8 0x3F99D2A8074325F4 // 6 -data8 0x3F9D6B2725979802 // 7 -data8 0x3FA0C58FA19DFAAA // 8 -data8 0x3FA2954C78CBCE1B // 9 -data8 0x3FA4A94D2DA96C56 // 10 -data8 0x3FA67C94F2D4BB58 // 11 -data8 0x3FA85188B630F068 // 12 -data8 0x3FAA6B8ABE73AF4C // 13 -data8 0x3FAC441E06F72A9E // 14 -data8 0x3FAE1E6713606D07 // 15 -data8 0x3FAFFA6911AB9301 // 16 -data8 0x3FB0EC139C5DA601 // 17 -data8 0x3FB1DBD2643D190B // 18 -data8 0x3FB2CC7284FE5F1C // 19 -data8 0x3FB3BDF5A7D1EE64 // 20 -data8 0x3FB4B05D7AA012E0 // 21 -data8 0x3FB580DB7CEB5702 // 22 -data8 0x3FB674F089365A7A // 23 -data8 0x3FB769EF2C6B568D // 24 -data8 0x3FB85FD927506A48 // 25 -data8 0x3FB9335E5D594989 // 26 -data8 0x3FBA2B0220C8E5F5 // 27 -data8 0x3FBB0004AC1A86AC // 28 -data8 0x3FBBF968769FCA11 // 29 -data8 0x3FBCCFEDBFEE13A8 // 30 -data8 0x3FBDA727638446A2 // 31 -data8 0x3FBEA3257FE10F7A // 32 -data8 0x3FBF7BE9FEDBFDE6 // 33 -data8 0x3FC02AB352FF25F4 // 34 -data8 0x3FC097CE579D204D // 35 -data8 0x3FC1178E8227E47C // 36 -data8 0x3FC185747DBECF34 // 37 -data8 0x3FC1F3B925F25D41 // 38 -data8 0x3FC2625D1E6DDF57 // 39 -data8 0x3FC2D1610C86813A // 40 -data8 0x3FC340C59741142E // 41 -data8 0x3FC3B08B6757F2A9 // 42 -data8 0x3FC40DFB08378003 // 43 -data8 0x3FC47E74E8CA5F7C // 44 -data8 0x3FC4EF51F6466DE4 // 45 -data8 0x3FC56092E02BA516 // 46 -data8 0x3FC5D23857CD74D5 // 47 -data8 0x3FC6313A37335D76 // 48 -data8 0x3FC6A399DABBD383 // 49 -data8 0x3FC70337DD3CE41B // 50 -data8 0x3FC77654128F6127 // 51 -data8 0x3FC7E9D82A0B022D // 52 -data8 0x3FC84A6B759F512F // 53 -data8 0x3FC8AB47D5F5A310 // 54 -data8 0x3FC91FE49096581B // 55 -data8 0x3FC981634011AA75 // 56 -data8 0x3FC9F6C407089664 // 57 -data8 0x3FCA58E729348F43 // 58 -data8 0x3FCABB55C31693AD // 59 -data8 0x3FCB1E104919EFD0 // 60 -data8 0x3FCB94EE93E367CB // 61 -data8 0x3FCBF851C067555F // 62 -data8 0x3FCC5C0254BF23A6 // 63 -data8 0x3FCCC000C9DB3C52 // 64 -data8 0x3FCD244D99C85674 // 65 -data8 0x3FCD88E93FB2F450 // 66 -data8 0x3FCDEDD437EAEF01 // 67 -data8 0x3FCE530EFFE71012 // 68 -data8 0x3FCEB89A1648B971 // 69 -data8 0x3FCF1E75FADF9BDE // 70 -data8 0x3FCF84A32EAD7C35 // 71 -data8 0x3FCFEB2233EA07CD // 72 -data8 0x3FD028F9C7035C1C // 73 -data8 0x3FD05C8BE0D9635A // 74 -data8 0x3FD085EB8F8AE797 // 75 -data8 0x3FD0B9C8E32D1911 // 76 -data8 0x3FD0EDD060B78081 // 77 -data8 0x3FD122024CF0063F // 78 -data8 0x3FD14BE2927AECD4 // 79 -data8 0x3FD180618EF18ADF // 80 -data8 0x3FD1B50BBE2FC63B // 81 -data8 0x3FD1DF4CC7CF242D // 82 -data8 0x3FD214456D0EB8D4 // 83 -data8 0x3FD23EC5991EBA49 // 84 -data8 0x3FD2740D9F870AFB // 85 -data8 0x3FD29ECDABCDFA04 // 86 -data8 0x3FD2D46602ADCCEE // 87 -data8 0x3FD2FF66B04EA9D4 // 88 -data8 0x3FD335504B355A37 // 89 -data8 0x3FD360925EC44F5D // 90 -data8 0x3FD38BF1C3337E75 // 91 -data8 0x3FD3C25277333184 // 92 -data8 0x3FD3EDF463C1683E // 93 -data8 0x3FD419B423D5E8C7 // 94 -data8 0x3FD44591E0539F49 // 95 -data8 0x3FD47C9175B6F0AD // 96 -data8 0x3FD4A8B341552B09 // 97 -data8 0x3FD4D4F3908901A0 // 98 -data8 0x3FD501528DA1F968 // 99 -data8 0x3FD52DD06347D4F6 // 100 -data8 0x3FD55A6D3C7B8A8A // 101 -data8 0x3FD5925D2B112A59 // 102 -data8 0x3FD5BF406B543DB2 // 103 -data8 0x3FD5EC433D5C35AE // 104 -data8 0x3FD61965CDB02C1F // 105 -data8 0x3FD646A84935B2A2 // 106 -data8 0x3FD6740ADD31DE94 // 107 -data8 0x3FD6A18DB74A58C5 // 108 -data8 0x3FD6CF31058670EC // 109 -data8 0x3FD6F180E852F0BA // 110 -data8 0x3FD71F5D71B894F0 // 111 -data8 0x3FD74D5AEFD66D5C // 112 -data8 0x3FD77B79922BD37E // 113 -data8 0x3FD7A9B9889F19E2 // 114 -data8 0x3FD7D81B037EB6A6 // 115 -data8 0x3FD8069E33827231 // 116 -data8 0x3FD82996D3EF8BCB // 117 -data8 0x3FD85855776DCBFB // 118 -data8 0x3FD8873658327CCF // 119 -data8 0x3FD8AA75973AB8CF // 120 -data8 0x3FD8D992DC8824E5 // 121 -data8 0x3FD908D2EA7D9512 // 122 -data8 0x3FD92C59E79C0E56 // 123 -data8 0x3FD95BD750EE3ED3 // 124 -data8 0x3FD98B7811A3EE5B // 125 -data8 0x3FD9AF47F33D406C // 126 -data8 0x3FD9DF270C1914A8 // 127 -data8 0x3FDA0325ED14FDA4 // 128 -data8 0x3FDA33440224FA79 // 129 -data8 0x3FDA57725E80C383 // 130 -data8 0x3FDA87D0165DD199 // 131 -data8 0x3FDAAC2E6C03F896 // 132 -data8 0x3FDADCCC6FDF6A81 // 133 -data8 0x3FDB015B3EB1E790 // 134 -data8 0x3FDB323A3A635948 // 135 -data8 0x3FDB56FA04462909 // 136 -data8 0x3FDB881AA659BC93 // 137 -data8 0x3FDBAD0BEF3DB165 // 138 -data8 0x3FDBD21297781C2F // 139 -data8 0x3FDC039236F08819 // 140 -data8 0x3FDC28CB1E4D32FD // 141 -data8 0x3FDC4E19B84723C2 // 142 -data8 0x3FDC7FF9C74554C9 // 143 -data8 0x3FDCA57B64E9DB05 // 144 -data8 0x3FDCCB130A5CEBB0 // 145 -data8 0x3FDCF0C0D18F326F // 146 -data8 0x3FDD232075B5A201 // 147 -data8 0x3FDD490246DEFA6B // 148 -data8 0x3FDD6EFA918D25CD // 149 -data8 0x3FDD9509707AE52F // 150 -data8 0x3FDDBB2EFE92C554 // 151 -data8 0x3FDDEE2F3445E4AF // 152 -data8 0x3FDE148A1A2726CE // 153 -data8 0x3FDE3AFC0A49FF40 // 154 -data8 0x3FDE6185206D516E // 155 -data8 0x3FDE882578823D52 // 156 -data8 0x3FDEAEDD2EAC990C // 157 -data8 0x3FDED5AC5F436BE3 // 158 -data8 0x3FDEFC9326D16AB9 // 159 -data8 0x3FDF2391A2157600 // 160 -data8 0x3FDF4AA7EE03192D // 161 -data8 0x3FDF71D627C30BB0 // 162 -data8 0x3FDF991C6CB3B379 // 163 -data8 0x3FDFC07ADA69A910 // 164 -data8 0x3FDFE7F18EB03D3E // 165 -data8 0x3FE007C053C5002E // 166 -data8 0x3FE01B942198A5A1 // 167 -data8 0x3FE02F74400C64EB // 168 -data8 0x3FE04360BE7603AD // 169 -data8 0x3FE05759AC47FE34 // 170 -data8 0x3FE06B5F1911CF52 // 171 -data8 0x3FE078BF0533C568 // 172 -data8 0x3FE08CD9687E7B0E // 173 -data8 0x3FE0A10074CF9019 // 174 -data8 0x3FE0B5343A234477 // 175 -data8 0x3FE0C974C89431CE // 176 -data8 0x3FE0DDC2305B9886 // 177 -data8 0x3FE0EB524BAFC918 // 178 -data8 0x3FE0FFB54213A476 // 179 -data8 0x3FE114253DA97D9F // 180 -data8 0x3FE128A24F1D9AFF // 181 -data8 0x3FE1365252BF0865 // 182 -data8 0x3FE14AE558B4A92D // 183 -data8 0x3FE15F85A19C765B // 184 -data8 0x3FE16D4D38C119FA // 185 -data8 0x3FE18203C20DD133 // 186 -data8 0x3FE196C7BC4B1F3B // 187 -data8 0x3FE1A4A738B7A33C // 188 -data8 0x3FE1B981C0C9653D // 189 -data8 0x3FE1CE69E8BB106B // 190 -data8 0x3FE1DC619DE06944 // 191 -data8 0x3FE1F160A2AD0DA4 // 192 -data8 0x3FE2066D7740737E // 193 -data8 0x3FE2147DBA47A394 // 194 -data8 0x3FE229A1BC5EBAC3 // 195 -data8 0x3FE237C1841A502E // 196 -data8 0x3FE24CFCE6F80D9A // 197 -data8 0x3FE25B2C55CD5762 // 198 -data8 0x3FE2707F4D5F7C41 // 199 -data8 0x3FE285E0842CA384 // 200 -data8 0x3FE294294708B773 // 201 -data8 0x3FE2A9A2670AFF0C // 202 -data8 0x3FE2B7FB2C8D1CC1 // 203 -data8 0x3FE2C65A6395F5F5 // 204 -data8 0x3FE2DBF557B0DF43 // 205 -data8 0x3FE2EA64C3F97655 // 206 -data8 0x3FE3001823684D73 // 207 -data8 0x3FE30E97E9A8B5CD // 208 -data8 0x3FE32463EBDD34EA // 209 -data8 0x3FE332F4314AD796 // 210 -data8 0x3FE348D90E7464D0 // 211 -data8 0x3FE35779F8C43D6E // 212 -data8 0x3FE36621961A6A99 // 213 -data8 0x3FE37C299F3C366A // 214 -data8 0x3FE38AE2171976E7 // 215 -data8 0x3FE399A157A603E7 // 216 -data8 0x3FE3AFCCFE77B9D1 // 217 -data8 0x3FE3BE9D503533B5 // 218 -data8 0x3FE3CD7480B4A8A3 // 219 -data8 0x3FE3E3C43918F76C // 220 -data8 0x3FE3F2ACB27ED6C7 // 221 -data8 0x3FE4019C2125CA93 // 222 -data8 0x3FE4181061389722 // 223 -data8 0x3FE42711518DF545 // 224 -data8 0x3FE436194E12B6BF // 225 -data8 0x3FE445285D68EA69 // 226 -data8 0x3FE45BCC464C893A // 227 -data8 0x3FE46AED21F117FC // 228 -data8 0x3FE47A1527E8A2D3 // 229 -data8 0x3FE489445EFFFCCC // 230 -data8 0x3FE4A018BCB69835 // 231 -data8 0x3FE4AF5A0C9D65D7 // 232 -data8 0x3FE4BEA2A5BDBE87 // 233 -data8 0x3FE4CDF28F10AC46 // 234 -data8 0x3FE4DD49CF994058 // 235 -data8 0x3FE4ECA86E64A684 // 236 -data8 0x3FE503C43CD8EB68 // 237 -data8 0x3FE513356667FC57 // 238 -data8 0x3FE522AE0738A3D8 // 239 -data8 0x3FE5322E26867857 // 240 -data8 0x3FE541B5CB979809 // 241 -data8 0x3FE55144FDBCBD62 // 242 -data8 0x3FE560DBC45153C7 // 243 -data8 0x3FE5707A26BB8C66 // 244 -data8 0x3FE587F60ED5B900 // 245 -data8 0x3FE597A7977C8F31 // 246 -data8 0x3FE5A760D634BB8B // 247 -data8 0x3FE5B721D295F10F // 248 -data8 0x3FE5C6EA94431EF9 // 249 -data8 0x3FE5D6BB22EA86F6 // 250 -data8 0x3FE5E6938645D390 // 251 -data8 0x3FE5F673C61A2ED2 // 252 -data8 0x3FE6065BEA385926 // 253 -data8 0x3FE6164BFA7CC06B // 254 -data8 0x3FE62643FECF9743 // 255 -LOCAL_OBJECT_END(log_data) - - -// Code -//============================================================== - -.section .text -GLOBAL_IEEE754_ENTRY(log1pf) -{ .mfi - getf.exp GR_signexp_x = f8 // if x is unorm then must recompute - fadd.s1 FR_Xp1 = f8, f1 // Form 1+x - mov GR_05 = 0xfffe -} -{ .mlx - addl GR_ad_T = @ltoff(log_data),gp - movl GR_A3 = 0x3fd5555555555555 // double precision memory - // representation of A3 -} -;; - -{ .mfi - ld8 GR_ad_T = [GR_ad_T] - fclass.m p8,p0 = f8,0xb // Is x unorm? - mov GR_exp_mask = 0x1ffff -} -{ .mfi - mov GR_025 = 0xfffd // Exponent of 0.25 - fnorm.s1 FR_NormX = f8 // Normalize x - mov GR_exp_bias = 0xffff -} -;; - -{ .mfi - setf.exp FR_A2 = GR_05 // create A2 = 0.5 - fclass.m p9,p0 = f8,0x1E1 // is x NaN, NaT or +Inf? - nop.i 0 -} -{ .mib - setf.d FR_A3 = GR_A3 // create A3 - nop.i 0 -(p8) br.cond.spnt log1p_unorm // Branch if x=unorm -} -;; - -log1p_common: -{ .mfi - setf.exp FR_A4 = GR_025 // create A4 = 0.25 - frcpa.s1 FR_RcpX,p0 = f1,FR_Xp1 - nop.i 0 -} -{ .mfb - nop.m 0 -(p9) fma.s.s0 f8 = f8,f1,f0 // set V-flag -(p9) br.ret.spnt b0 // exit for NaN, NaT and +Inf -} -;; - -{ .mfi - getf.exp GR_Exp = FR_Xp1 // signexp of x+1 - fclass.m p10,p0 = FR_Xp1,0x3A // is 1+x < 0? - and GR_exp_x = GR_exp_mask, GR_signexp_x // biased exponent of x -} -{ .mlx - nop.m 0 - movl GR_Ln2 = 0x3FE62E42FEFA39EF // double precision memory - // representation of log(2) -} -;; - -{ .mfi - getf.sig GR_Sig = FR_Xp1 // get significand to calculate index - // for T if |x| >= 2^-8 - fcmp.eq.s1 p12,p0 = f8,f0 // is x equal to 0? - sub GR_exp_x = GR_exp_x, GR_exp_bias // true exponent of x -} -;; - -{ .mfi - sub GR_N = GR_Exp,GR_exp_bias // true exponent of x+1 - fcmp.eq.s1 p11,p0 = FR_Xp1,f0 // is x = -1? - cmp.gt p6,p7 = -8, GR_exp_x // Is |x| < 2^-8 -} -{ .mfb - nop.m 0 - nop.f 0 -(p10) br.cond.spnt log1p_lt_minus_1 // jump if x < -1 -} -;; - -// p6 is true if |x| < 1/256 -// p7 is true if |x| >= 1/256 -.pred.rel "mutex",p6,p7 -{ .mfi - nop.m 0 -(p6) fms.s1 FR_r = f8,f1,f0 // range reduction for |x|<1/256 -(p6) cmp.gt.unc p10,p0 = -40, GR_exp_x // Is |x| < 2^-40 -} -{ .mfb -(p7) setf.sig FR_N = GR_N // copy unbiased exponent of x to the - // significand field of FR_N -(p7) fms.s1 FR_r = FR_RcpX,FR_Xp1,f1 // range reduction for |x|>=1/256 -(p12) br.ret.spnt b0 // exit for x=0, return x -} -;; - -{ .mib - setf.d FR_Ln2 = GR_Ln2 // create log(2) -(p7) extr.u GR_Ind = GR_Sig,55,8 // get bits from 55 to 62 as index -(p11) br.cond.spnt log1p_eq_minus_1 // jump if x = -1 -} -;; - -{ .mmf -(p7) shladd GR_ad_T = GR_Ind,3,GR_ad_T // address of T - nop.m 0 -(p10) fnma.s.s0 f8 = f8,f8,f8 // If |x| very small, result=x-x*x -} -;; - -{ .mmb -(p7) ldfd FR_T = [GR_ad_T] - nop.m 0 -(p10) br.ret.spnt b0 // Exit if |x| < 2^-40 -} -;; - -{ .mfi - nop.m 0 - fma.s1 FR_r2 = FR_r,FR_r,f0 // r^2 - nop.i 0 -} -{ .mfi - nop.m 0 - fnma.s1 FR_A2 = FR_A2,FR_r,f1 // 1.0 - A2*r - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - fnma.s1 FR_A3 = FR_A4,FR_r,FR_A3 // A3 - A4*r - nop.i 0 -} -;; - -{ .mfi - nop.m 0 -(p7) fcvt.xf FR_N = FR_N - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // (A3*r+A2)*r^2+r - fma.s1 FR_A2 = FR_A3,FR_r2,FR_A2 // (A4*r+A3)*r^2+(A2*r+1) - nop.i 0 -} -;; - -{ .mfi - nop.m 0 - // N*Ln2hi+T -(p7) fma.s1 FR_NxLn2pT = FR_N,FR_Ln2,FR_T - nop.i 0 -} -;; - -.pred.rel "mutex",p6,p7 -{ .mfi - nop.m 0 -(p6) fma.s.s0 f8 = FR_A2,FR_r,f0 // result if 2^(-40) <= |x| < 1/256 - nop.i 0 -} -{ .mfb - nop.m 0 -(p7) fma.s.s0 f8 = FR_A2,FR_r,FR_NxLn2pT // result if |x| >= 1/256 - br.ret.sptk b0 // Exit if |x| >= 2^(-40) -} -;; - -.align 32 -log1p_unorm: -// Here if x=unorm -{ .mfb - getf.exp GR_signexp_x = FR_NormX // recompute biased exponent - nop.f 0 - br.cond.sptk log1p_common -} -;; - -.align 32 -log1p_eq_minus_1: -// Here if x=-1 -{ .mfi - nop.m 0 - fmerge.s FR_X = f8,f8 // keep input argument for subsequent - // call of __libm_error_support# - nop.i 0 -} -;; - -{ .mfi - mov GR_TAG = 142 // set libm error in case of log1p(-1). - frcpa.s0 f8,p0 = f8,f0 // log1p(-1) should be equal to -INF. - // We can get it using frcpa because it - // sets result to the IEEE-754 mandated - // quotient of f8/f0. - nop.i 0 -} -{ .mib - nop.m 0 - nop.i 0 - br.cond.sptk log_libm_err -} -;; - -.align 32 -log1p_lt_minus_1: -// Here if x < -1 -{ .mfi - nop.m 0 - fmerge.s FR_X = f8,f8 - nop.i 0 -} -;; - -{ .mfi - mov GR_TAG = 143 // set libm error in case of x < -1. - frcpa.s0 f8,p0 = f0,f0 // log1p(x) x < -1 should be equal to NaN. - // We can get it using frcpa because it - // sets result to the IEEE-754 mandated - // quotient of f0/f0 i.e. NaN. - nop.i 0 -} -;; - -.align 32 -log_libm_err: -{ .mmi - alloc r32 = ar.pfs,1,4,4,0 - mov GR_Parameter_TAG = GR_TAG - nop.i 0 -} -;; - -GLOBAL_IEEE754_END(log1pf) - - -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] = 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 -};; -.body -{ .mib - stfs [GR_Parameter_X] = FR_X // STORE Parameter 1 on stack - add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address - nop.b 0 -} -{ .mib - stfs [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 - 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# |