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Diffstat (limited to 'sysdeps/ia64/fpu/e_exp10l.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_exp10l.S | 810 |
1 files changed, 810 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_exp10l.S b/sysdeps/ia64/fpu/e_exp10l.S new file mode 100644 index 0000000000..f72d547ebf --- /dev/null +++ b/sysdeps/ia64/fpu/e_exp10l.S @@ -0,0 +1,810 @@ +.file "exp10l.s" + + +// Copyright (c) 2000 - 2004, 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 +//============================================================== +// 08/25/00 Initial version +// 05/20/02 Cleaned up namespace and sf0 syntax +// 02/06/03 Reordered header: .section, .global, .proc, .align +// 05/08/03 Reformatted assembly source; corrected overflow result for round to +// -inf and round to zero; exact results now don't set inexact flag +// 12/16/04 Call error handling on underflow. +// +// API +//============================================================== +// long double exp10l(long double) +// +// Overview of operation +//============================================================== +// Background +// +// Implementation +// +// Let x= (K + f + r)/log2(10), where +// K is an integer, f= 0.b1 b2... b8 (f>= 0), +// and |r|<2^{-9} +// T is a table that stores 2^f (256 entries) rounded to +// double extended precision (only mantissa is stored) +// D stores (2^f/T [ f ] - 1), rounded to single precision +// +// 10^x is approximated as +// 2^K * T [ f ] * ((1+c1*r+c2*r^2+...+c6*r^6)*(1+c1*e)+D [ f ] ), +// where e= log2(10)_lo*x+(log2(10)_hi*x-RN(log2(10)_hi*x)) +// + + + +// Special values +//============================================================== +// exp10(0)= 1 +// exp10(+inf)= inf +// exp10(-inf)= 0 +// + + +// Registers used +//============================================================== +// f6-f15, f32-f63 +// r14-r30, r32-r40 +// p6-p8, p11-p14 +// + + + FR_X = f10 + FR_Y = f1 + FR_RESULT = f8 + + FR_COEFF1 = f6 + FR_COEFF2 = f7 + FR_KF0 = f9 + FR_LOG10 = f10 + FR_CONST1 = f11 + FR_XL10 = f12 + FR_COEFF3 = f13 + FR_COEFF4 = f14 + FR_UF_TEST = f15 + FR_OF_TEST = f32 + FR_L10_LOW = f33 + FR_COEFF5 = f34 + FR_COEFF6 = f35 + FR_L10 = f36 + FR_C_L10 = f37 + FR_XL10_H = f38 + FR_XL10_L = f39 + FR_KF = f40 + FR_E = f41 + FR_T = f42 + FR_D = f43 + FR_EXP_M_63 = f44 + FR_R = f45 + FR_E1 = f46 + FR_COEFF2 = f47 + FR_P34 = f48 + FR_P56 = f49 + FR_R2 = f50 + FR_RE = f51 + FR_D1 = f52 + FR_P36 = f53 + FR_R3E = f54 + FR_P1 = f55 + FR_P = f56 + FR_T1 = f57 + FR_XINT = f58 + FR_XINTF = f59 + FR_4 = f60 + FR_28 = f61 + FR_32 = f62 + FR_SNORM_LIMIT = f63 + + + GR_ADDR0 = r14 + GR_D_ADDR = r15 + GR_ADDR = r16 + GR_B63 = r17 + GR_KBITS = r18 + GR_F = r19 + GR_K = r20 + GR_D = r21 + GR_BM63 = r22 + GR_T = r23 + GR_CONST1 = r24 + GR_EMIN = r25 + GR_CONST2 = r26 + GR_BM8 = r27 + GR_SREG = r28 + GR_4_BIAS = r29 + GR_32_BIAS = r30 + + 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 + + +// Data tables +//============================================================== + +RODATA + +.align 16 + +LOCAL_OBJECT_START(poly_coeffs) + + data8 0xd49a784bcd1b8afe, 0x00004008 // log2(10)*2^8 + data8 0x9a209a84fbcff798, 0x0000400b // overflow threshold + data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1 + data8 0xf5fdeffc162c7541, 0x00003ffc // C_2 + data8 0x3fac6b08d704a0c0 // C_3 + data8 0x3f83b2ab6fba4e77 // C_4 + data8 0x3f55d87fe78a6731 // C_5 + data8 0x3f2430912f86c787 // C_6 + data8 0x9257edfe9b5fb698, 0x00003fbf // log2(10)_low (bits 64...127) + data8 0x9a1bc98027a81918, 0x0000c00b // Smallest normal threshold +LOCAL_OBJECT_END(poly_coeffs) + + +LOCAL_OBJECT_START(T_table) + + // 2^{0.b1 b2 b3 b4 b5 b6 b7 b8} + data8 0x8000000000000000, 0x8058d7d2d5e5f6b1 + data8 0x80b1ed4fd999ab6c, 0x810b40a1d81406d4 + data8 0x8164d1f3bc030773, 0x81bea1708dde6056 + data8 0x8218af4373fc25ec, 0x8272fb97b2a5894c + data8 0x82cd8698ac2ba1d7, 0x83285071e0fc4547 + data8 0x8383594eefb6ee37, 0x83dea15b9541b132 + data8 0x843a28c3acde4046, 0x8495efb3303efd30 + data8 0x84f1f656379c1a29, 0x854e3cd8f9c8c95d + data8 0x85aac367cc487b15, 0x86078a2f23642a9f + data8 0x8664915b923fba04, 0x86c1d919caef5c88 + data8 0x871f61969e8d1010, 0x877d2afefd4e256c + data8 0x87db357ff698d792, 0x88398146b919f1d4 + data8 0x88980e8092da8527, 0x88f6dd5af155ac6b + data8 0x8955ee03618e5fdd, 0x89b540a7902557a4 + data8 0x8a14d575496efd9a, 0x8a74ac9a79896e47 + data8 0x8ad4c6452c728924, 0x8b3522a38e1e1032 + data8 0x8b95c1e3ea8bd6e7, 0x8bf6a434adde0085 + data8 0x8c57c9c4646f4dde, 0x8cb932c1bae97a95 + data8 0x8d1adf5b7e5ba9e6, 0x8d7ccfc09c50e2f8 + data8 0x8ddf042022e69cd6, 0x8e417ca940e35a01 + data8 0x8ea4398b45cd53c0, 0x8f073af5a2013520 + data8 0x8f6a8117e6c8e5c4, 0x8fce0c21c6726481 + data8 0x9031dc431466b1dc, 0x9095f1abc540ca6b + data8 0x90fa4c8beee4b12b, 0x915eed13c89689d3 + data8 0x91c3d373ab11c336, 0x9228ffdc10a051ad + data8 0x928e727d9531f9ac, 0x92f42b88f673aa7c + data8 0x935a2b2f13e6e92c, 0x93c071a0eef94bc1 + data8 0x9426ff0fab1c04b6, 0x948dd3ac8ddb7ed3 + data8 0x94f4efa8fef70961, 0x955c5336887894d5 + data8 0x95c3fe86d6cc7fef, 0x962bf1cbb8d97560 + data8 0x96942d3720185a00, 0x96fcb0fb20ac4ba3 + data8 0x97657d49f17ab08e, 0x97ce9255ec4357ab + data8 0x9837f0518db8a96f, 0x98a1976f7597e996 + data8 0x990b87e266c189aa, 0x9975c1dd47518c77 + data8 0x99e0459320b7fa65, 0x9a4b13371fd166ca + data8 0x9ab62afc94ff864a, 0x9b218d16f441d63d + data8 0x9b8d39b9d54e5539, 0x9bf93118f3aa4cc1 + data8 0x9c6573682ec32c2d, 0x9cd200db8a0774cb + data8 0x9d3ed9a72cffb751, 0x9dabfdff6367a2aa + data8 0x9e196e189d472420, 0x9e872a276f0b98ff + data8 0x9ef5326091a111ae, 0x9f6386f8e28ba651 + data8 0x9fd228256400dd06, 0xa041161b3d0121be + data8 0xa0b0510fb9714fc2, 0xa11fd9384a344cf7 + data8 0xa18faeca8544b6e4, 0xa1ffd1fc25cea188 + data8 0xa27043030c496819, 0xa2e102153e918f9e + data8 0xa3520f68e802bb93, 0xa3c36b345991b47c + data8 0xa43515ae09e6809e, 0xa4a70f0c95768ec5 + data8 0xa5195786be9ef339, 0xa58bef536dbeb6ee + data8 0xa5fed6a9b15138ea, 0xa6720dc0be08a20c + data8 0xa6e594cfeee86b1e, 0xa7596c0ec55ff55b + data8 0xa7cd93b4e965356a, 0xa8420bfa298f70d1 + data8 0xa8b6d5167b320e09, 0xa92bef41fa77771b + data8 0xa9a15ab4ea7c0ef8, 0xaa1717a7b5693979 + data8 0xaa8d2652ec907629, 0xab0386ef48868de1 + data8 0xab7a39b5a93ed337, 0xabf13edf162675e9 + data8 0xac6896a4be3fe929, 0xace0413ff83e5d04 + data8 0xad583eea42a14ac6, 0xadd08fdd43d01491 + data8 0xae493452ca35b80e, 0xaec22c84cc5c9465 + data8 0xaf3b78ad690a4375, 0xafb51906e75b8661 + data8 0xb02f0dcbb6e04584, 0xb0a957366fb7a3c9 + data8 0xb123f581d2ac2590, 0xb19ee8e8c94feb09 + data8 0xb21a31a66618fe3b, 0xb295cff5e47db4a4 + data8 0xb311c412a9112489, 0xb38e0e38419fae18 + data8 0xb40aaea2654b9841, 0xb487a58cf4a9c180 + data8 0xb504f333f9de6484, 0xb58297d3a8b9f0d2 + data8 0xb60093a85ed5f76c, 0xb67ee6eea3b22b8f + data8 0xb6fd91e328d17791, 0xb77c94c2c9d725e9 + data8 0xb7fbefca8ca41e7c, 0xb87ba337a1743834 + data8 0xb8fbaf4762fb9ee9, 0xb97c143756844dbf + data8 0xb9fcd2452c0b9deb, 0xba7de9aebe5fea09 + data8 0xbaff5ab2133e45fb, 0xbb81258d5b704b6f + data8 0xbc034a7ef2e9fb0d, 0xbc85c9c560e7b269 + data8 0xbd08a39f580c36bf, 0xbd8bd84bb67ed483 + data8 0xbe0f6809860993e2, 0xbe935317fc378238 + data8 0xbf1799b67a731083, 0xbf9c3c248e2486f8 + data8 0xc0213aa1f0d08db0, 0xc0a6956e8836ca8d + data8 0xc12c4cca66709456, 0xc1b260f5ca0fbb33 + data8 0xc238d2311e3d6673, 0xc2bfa0bcfad907c9 + data8 0xc346ccda24976407, 0xc3ce56c98d21b15d + data8 0xc4563ecc5334cb33, 0xc4de8523c2c07baa + data8 0xc5672a115506dadd, 0xc5f02dd6b0bbc3d9 + data8 0xc67990b5aa245f79, 0xc70352f04336c51e + data8 0xc78d74c8abb9b15d, 0xc817f681416452b2 + data8 0xc8a2d85c8ffe2c45, 0xc92e1a9d517f0ecc + data8 0xc9b9bd866e2f27a3, 0xca45c15afcc72624 + data8 0xcad2265e4290774e, 0xcb5eecd3b38597c9 + data8 0xcbec14fef2727c5d, 0xcc799f23d11510e5 + data8 0xcd078b86503dcdd2, 0xcd95da6a9ff06445 + data8 0xce248c151f8480e4, 0xceb3a0ca5dc6a55d + data8 0xcf4318cf191918c1, 0xcfd2f4683f94eeb5 + data8 0xd06333daef2b2595, 0xd0f3d76c75c5db8d + data8 0xd184df6251699ac6, 0xd2164c023056bcab + data8 0xd2a81d91f12ae45a, 0xd33a5457a3029054 + data8 0xd3ccf099859ac379, 0xd45ff29e0972c561 + data8 0xd4f35aabcfedfa1f, 0xd5872909ab75d18a + data8 0xd61b5dfe9f9bce07, 0xd6aff9d1e13ba2fe + data8 0xd744fccad69d6af4, 0xd7da67311797f56a + data8 0xd870394c6db32c84, 0xd9067364d44a929c + data8 0xd99d15c278afd7b6, 0xda3420adba4d8704 + data8 0xdacb946f2ac9cc72, 0xdb63714f8e295255 + data8 0xdbfbb797daf23755, 0xdc9467913a4f1c92 + data8 0xdd2d818508324c20, 0xddc705bcd378f7f0 + data8 0xde60f4825e0e9124, 0xdefb4e1f9d1037f2 + data8 0xdf9612deb8f04420, 0xe031430a0d99e627 + data8 0xe0ccdeec2a94e111, 0xe168e6cfd3295d23 + data8 0xe2055afffe83d369, 0xe2a23bc7d7d91226 + data8 0xe33f8972be8a5a51, 0xe3dd444c46499619 + data8 0xe47b6ca0373da88d, 0xe51a02ba8e26d681 + data8 0xe5b906e77c8348a8, 0xe658797368b3a717 + data8 0xe6f85aaaee1fce22, 0xe798aadadd5b9cbf + data8 0xe8396a503c4bdc68, 0xe8da9958464b42ab + data8 0xe97c38406c4f8c57, 0xea1e4756550eb27b + data8 0xeac0c6e7dd24392f, 0xeb63b74317369840 + data8 0xec0718b64c1cbddc, 0xecaaeb8ffb03ab41 + data8 0xed4f301ed9942b84, 0xedf3e6b1d418a491 + data8 0xee990f980da3025b, 0xef3eab20e032bc6b + data8 0xefe4b99bdcdaf5cb, 0xf08b3b58cbe8b76a + data8 0xf13230a7ad094509, 0xf1d999d8b7708cc1 + data8 0xf281773c59ffb13a, 0xf329c9233b6bae9c + data8 0xf3d28fde3a641a5b, 0xf47bcbbe6db9fddf + data8 0xf5257d152486cc2c, 0xf5cfa433e6537290 + data8 0xf67a416c733f846e, 0xf7255510c4288239 + data8 0xf7d0df730ad13bb9, 0xf87ce0e5b2094d9c + data8 0xf92959bb5dd4ba74, 0xf9d64a46eb939f35 + data8 0xfa83b2db722a033a, 0xfb3193cc4227c3f4 + data8 0xfbdfed6ce5f09c49, 0xfc8ec01121e447bb + data8 0xfd3e0c0cf486c175, 0xfdedd1b496a89f35 + data8 0xfe9e115c7b8f884c, 0xff4ecb59511ec8a5 +LOCAL_OBJECT_END(T_table) + + +LOCAL_OBJECT_START(D_table) + data4 0x00000000, 0x9f55c08f, 0x1e93ffa3, 0x1dcd43a8 + data4 0x1f751f79, 0x9f3cdd88, 0x9f43d155, 0x1eda222c + data4 0x1ef35513, 0x9f597895, 0x9e698881, 0x1ec71073 + data4 0x1e50e371, 0x9dc01e19, 0x1de74133, 0x1e2f028c + data4 0x9edefb47, 0x1ebbac48, 0x9e8b0330, 0x9e9e9314 + data4 0x1edc1d11, 0x1f098529, 0x9f52827c, 0x1f50050d + data4 0x1f301e8e, 0x1f5b64d1, 0x9f45e3ee, 0x9ef64d6d + data4 0x1d6ec5e8, 0x9e61ad9a, 0x1d44ccbb, 0x9e4a8bbb + data4 0x9cf11576, 0x9dcce7e7, 0x9d02ac90, 0x1f26ccf0 + data4 0x9f0877c6, 0x9ddd62ae, 0x9f4b7fc3, 0x1ea8ef6b + data4 0x1ea4378d, 0x1ef6fc38, 0x1db99fd9, 0x1f22bf6f + data4 0x1f53e172, 0x1e85504a, 0x9f37cc75, 0x1f0c5e17 + data4 0x1dde8aac, 0x9cb42bb2, 0x1e153cd7, 0x1eb62bba + data4 0x9e9b941b, 0x9ea80e3c, 0x1f508823, 0x1ec3fd36 + data4 0x1e9ffaa1, 0x1e21e2eb, 0x9d948b1d, 0x9e8ac93a + data4 0x1ef7ee6f, 0x9e80dda3, 0x1f0814be, 0x1dc5ddfe + data4 0x1eedb9d1, 0x9f2aaa26, 0x9ea5b0fc, 0x1edf702e + data4 0x9e391201, 0x1f1316bb, 0x1ea27fb7, 0x9e05ed18 + data4 0x9f199ed2, 0x1ee7fd7c, 0x1f003db6, 0x9eac3793 + data4 0x9e5b8c10, 0x9f3af17c, 0x1bc9a8be, 0x1ee3c004 + data4 0x9f19b1b2, 0x9f242ce9, 0x9ce67dd1, 0x9e4f6275 + data4 0x1e20742c, 0x1eb9328a, 0x9f477153, 0x1d969718 + data4 0x9f1e6c43, 0x1f2f67f4, 0x9f39c7e4, 0x9e3c4feb + data4 0x1da3956b, 0x9e7c685d, 0x1f280911, 0x9f0d8afb + data4 0x1e314b40, 0x9eb4f250, 0x9f1a34ad, 0x1ef5d5e7 + data4 0x9f145496, 0x1e604827, 0x9f1e5195, 0x1e9c1fc0 + data4 0x1efde521, 0x1e69b385, 0x1f316830, 0x9f244eae + data4 0x1f1787ec, 0x9e939971, 0x1f0bb393, 0x9f0511d6 + data4 0x1ed919de, 0x1d8b7b28, 0x1e5ca4a9, 0x1e7c357b + data4 0x9e3ff8e8, 0x1eef53b5, 0x9ed22ed7, 0x1f16659b + data4 0x9f2db102, 0x9e2c6a78, 0x1f328d7d, 0x9f2fec3c + data4 0x1eb395bd, 0x9f242b84, 0x9e2683e6, 0x1ed71e68 + data4 0x1efd1df5, 0x9e9eeafd, 0x9ed2249c, 0x1eef129a + data4 0x1d1ea44c, 0x9e81f7ff, 0x1eaf77c9, 0x9ee7a285 + data4 0x1e1864ed, 0x9ee7edbb, 0x9e15a27d, 0x9ae61655 + data4 0x1f1ff1a2, 0x1da29755, 0x9e5f46fb, 0x1e901236 + data4 0x9eecfb9b, 0x9f204d2f, 0x1ec64685, 0x9eb809bd + data4 0x9e0026c5, 0x1d9f1da1, 0x1f142b49, 0x9f20f22e + data4 0x1f24b067, 0x1f185a4c, 0x9f09765c, 0x9ece902f + data4 0x1e2ca5db, 0x1e6de464, 0x9f071f67, 0x1f1518c3 + data4 0x1ea13ded, 0x1f0b8414, 0x1edb6ad4, 0x9e548740 + data4 0x9ea10efb, 0x1ee48a60, 0x1e7954c5, 0x9edad013 + data4 0x9f21517d, 0x9e9b6e0c, 0x9ee7f9a6, 0x9ebd4298 + data4 0x9d65b24e, 0x1eed751f, 0x9f1573ea, 0x9d430377 + data4 0x9e13fc0c, 0x1e47008a, 0x1e3d5c1d, 0x1ef41a91 + data4 0x9e4a4ef7, 0x9e952f18, 0x1d620566, 0x1d9b8d33 + data4 0x1db06247, 0x1e94b31e, 0x1f0730ad, 0x9d79ffb4 + data4 0x1ed64d51, 0x9e91fd11, 0x9e28d35a, 0x9dea0ed9 + data4 0x1e891def, 0x9ee28ac0, 0x1e1db99b, 0x9ee1ce38 + data4 0x9bdd9bca, 0x1eb72cb9, 0x9e8c53c6, 0x1e0df6ca + data4 0x1e8f2ccd, 0x9e9b0886, 0x1eeb3bc7, 0x1ec7e772 + data4 0x9e210776, 0x9daf246c, 0x1ea1f151, 0x1ece4dc6 + data4 0x1ce741c8, 0x1ed3c88f, 0x9ec9a4fd, 0x9e0c8d30 + data4 0x1d2fbb26, 0x9ef212a7, 0x1ee44f1c, 0x9e445550 + data4 0x1e075f77, 0x9d9291a3, 0x1f09c2ee, 0x9e012c88 + data4 0x1f057d62, 0x9e7bb0dc, 0x9d8758ee, 0x1ee8d6c1 + data4 0x9e509a57, 0x9e4ca7b7, 0x1e2cb341, 0x9ec35106 + data4 0x1ecf3baf, 0x1e11781c, 0x1ea0cc78, 0x1eb75ca6 + data4 0x1e961e1a, 0x1eb88853, 0x1e7abf50, 0x1ee38704 + data4 0x9dc5ab0f, 0x1afe197b, 0x9ec07523, 0x9d9b7f78 + data4 0x1f011618, 0x1ed43b0b, 0x9f035945, 0x9e3fd014 + data4 0x9bbda5cd, 0x9e83f8ab, 0x1e58a928, 0x1e392d61 + data4 0x1efdbb52, 0x1ee310a8, 0x9ec7ecc1, 0x1e8c9ed6 + data4 0x9ef82dee, 0x9e70545b, 0x9ea53fc4, 0x1e40f419 +LOCAL_OBJECT_END(D_table) + + + +.section .text +GLOBAL_IEEE754_ENTRY(exp10l) + +{.mfi + alloc GR_SREG = ar.pfs, 1, 4, 4, 0 + // will continue only for normal/denormal numbers + fclass.nm.unc p12, p7 = f8, 0x1b + // GR_ADDR0 = pointer to log2(10), C_1...C_6 followed by T_table + addl GR_ADDR0 = @ltoff(poly_coeffs), gp ;; +} + +{.mfi + // load start address for C_1...C_6 followed by T_table + ld8 GR_ADDR0 = [ GR_ADDR0 ] + // X<0 ? + fcmp.lt.s1 p6, p8 = f8, f0 + // GR_BM8 = bias-8 + mov GR_BM8 = 0xffff-8 +} +{.mlx + nop.m 0 + // GR_EMIN = (-2^14-62)*2^{8} + movl GR_EMIN = 0xca807c00 ;; +} + +{.mmb + // FR_CONST1 = 2^{-8} + setf.exp FR_CONST1 = GR_BM8 + // load log2(10)*2^8 + ldfe FR_LOG10 = [ GR_ADDR0 ], 16 + (p12) br.cond.spnt SPECIAL_EXP10 ;; +} + +{.mmf + setf.s FR_UF_TEST = GR_EMIN + // load overflow threshold + ldfe FR_OF_TEST = [ GR_ADDR0 ], 16 + // normalize x + fma.s0 f8 = f8, f1, f0 ;; +} + +{.mmi + // load C_1 + ldfe FR_COEFF1 = [ GR_ADDR0 ], 16 ;; + // load C_2 + ldfe FR_COEFF2 = [ GR_ADDR0 ], 16 + nop.i 0 ;; +} + +{.mmf + // GR_D_ADDR = pointer to D table + add GR_D_ADDR = 2048-64+96+32, GR_ADDR0 + // load C_3, C_4 + ldfpd FR_COEFF3, FR_COEFF4 = [ GR_ADDR0 ], 16 + // y = x*log2(10)*2^8 + fma.s1 FR_XL10 = f8, FR_LOG10, f0 ;; +} + +{.mfi + // load C_5, C_6 + ldfpd FR_COEFF5, FR_COEFF6 = [ GR_ADDR0 ], 16 + // get int(x) + fcvt.fx.trunc.s1 FR_XINT = f8 + nop.i 0 +} +{.mfi + nop.m 0 + // FR_LOG10 = log2(10) + fma.s1 FR_L10 = FR_LOG10, FR_CONST1, f0 + nop.i 0 ;; +} + +{.mfi + // load log2(10)_low + ldfe FR_L10_LOW = [ GR_ADDR0 ], 16 + // y0 = x*log2(10) = x*log2(10)_hi + fma.s1 FR_LOG10 = f8, FR_L10, f0 + mov GR_EMIN = 0xffff-63 +} +{.mfi + mov GR_32_BIAS = 0xffff + 5 + // (K+f)*2^8 = round_to_int(y) + fcvt.fx.s1 FR_KF0 = FR_XL10 + mov GR_4_BIAS = 0xffff + 2;; +} + +{.mfi + // load smallest normal limit + ldfe FR_SNORM_LIMIT = [ GR_ADDR0 ], 16 + // x>overflow threshold ? + fcmp.gt.s1 p12, p7 = f8, FR_OF_TEST + nop.i 0 ;; +} + +{.mfi + setf.exp FR_32 = GR_32_BIAS + // x<underflow threshold ? + (p7) fcmp.lt.s1 p12, p7 = FR_XL10, FR_UF_TEST + nop.i 0 ;; +} + +{.mfi + setf.exp FR_4 = GR_4_BIAS + fcvt.xf FR_XINTF = FR_XINT + nop.i 0 +} +{.mfi + nop.m 0 + // FR_L10 = log2(10)_h*x-RN(log2(10)_h*x) + fms.s1 FR_L10 = f8, FR_L10, FR_LOG10 + nop.i 0 ;; +} + +{.mfi + getf.sig GR_BM8 = FR_KF0 + fcvt.xf FR_KF0 = FR_KF0 + mov GR_CONST2 = 255 ;; +} + +{.mfi + // GR_CONST2 = f + and GR_CONST2 = GR_CONST2, GR_BM8 + // FR_L10_LOW = e = log2(10)_l*x+(log2(10)_h*x-RN(log2(10)_h*x)) + fma.s1 FR_L10_LOW = FR_L10_LOW, f8, FR_L10 + // GR_BM8 = K + shr GR_BM8 = GR_BM8, 8 ;; +} + +{.mmi + // address of D + shladd GR_D_ADDR = GR_CONST2, 2, GR_D_ADDR + // K+ = bias-63 + add GR_BM8 = GR_BM8, GR_EMIN + // address of T + shladd GR_ADDR0 = GR_CONST2, 3, GR_ADDR0 ;; +} + +{.mfb + // load D + ldfs FR_OF_TEST = [ GR_D_ADDR ] + // is input an integer ? + fcmp.eq.s1 p13, p14 = f8, FR_XINTF + (p12) br.cond.spnt OUT_RANGE_EXP10 ;; +} + +{.mmf + // load T + ldf8 FR_UF_TEST = [ GR_ADDR0 ] + // FR_XL10 = 2^{K-63} + setf.exp FR_XL10 = GR_BM8 + // r = x*log2(10)_hi-2^{-10}* [ (K+f)*2^{10} ] + fnma.s1 FR_KF0 = FR_KF0, FR_CONST1, FR_LOG10 ;; +} + +{.mfi + nop.m 0 + // get 28.0 + fms.s1 FR_28 = FR_32, f1, FR_4 + nop.i 0 +} +{.mfi + nop.m 0 + // E = 1+C_1*e + fma.s1 FR_L10 = FR_L10_LOW, FR_COEFF1, f1 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // P12 = C_1+C_2*r + fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_COEFF1 + nop.i 0 +} +{.mfi + nop.m 0 + // P34 = C_3+C_4*r + fma.s1 FR_COEFF4 = FR_COEFF4, FR_KF0, FR_COEFF3 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // P56 = C_5+C_6*r + fma.s1 FR_COEFF5 = FR_COEFF6, FR_KF0, FR_COEFF5 + nop.i 0 +} +{.mfi + nop.m 0 + // GR_ADDR0 = r*r + fma.s1 FR_COEFF3 = FR_KF0, FR_KF0, f0 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // if input is integer, is it positive ? + (p13) fcmp.ge.s1 p13, p14 = f8, f0 + nop.i 0 +} +{.mfi + nop.m 0 + // r' = r*E + fma.s1 FR_KF0 = FR_KF0, FR_L10, f0 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // D' = D+C_1*e + fma.s1 FR_OF_TEST = FR_L10_LOW, FR_COEFF1, FR_OF_TEST + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // test if x >= smallest normal limit + fcmp.ge.s1 p11, p0 = f8, FR_SNORM_LIMIT + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // P36 = P34+r2*P56 + fma.s1 FR_COEFF4 = FR_COEFF5, FR_COEFF3, FR_COEFF4 + nop.i 0 +} +{.mfi + nop.m 0 + // GR_D_ADDR = r'*r2 + fma.s1 FR_COEFF3 = FR_COEFF3, FR_KF0, f0 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // is input below 28.0 ? + (p13) fcmp.lt.s1 p13, p14 = f8, FR_28 + nop.i 0 +} +{.mfi + nop.m 0 + // P' = P12*r'+D' + fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_OF_TEST + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // P = P'+r3*P36 + fma.s1 FR_COEFF3 = FR_COEFF3, FR_COEFF4, FR_COEFF2 + nop.i 0 +} +{.mfi + nop.m 0 + // T = 2^{K-63}*T + fma.s1 FR_UF_TEST = FR_UF_TEST, FR_XL10, f0 + nop.i 0 ;; +} + +.pred.rel "mutex",p13,p14 +{.mfi + nop.m 0 + (p13) fma.s1 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST + nop.i 0 +} +{.mfb + nop.m 0 + // result = T+T*P + (p14) fma.s0 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST + // return + (p11) br.ret.sptk b0 ;; // return, if result normal +} + +// Here if result in denormal range (and not zero) +{.mib + nop.m 0 + mov GR_Parameter_TAG= 264 + br.cond.sptk __libm_error_region // Branch to error handling +} +;; + +SPECIAL_EXP10: + +{.mfi + nop.m 0 + // x = -Infinity ? + fclass.m p6, p0 = f8, 0x22 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // x = +Infinity ? + fclass.m p7, p0 = f8, 0x21 + nop.i 0 ;; +} + +{.mfi + nop.m 0 + // x = +/-Zero ? + fclass.m p8, p0 = f8, 0x7 + nop.i 0 +} +{.mfb + nop.m 0 + // exp10(-Infinity) = 0 + (p6) mov f8 = f0 + (p6) br.ret.spnt b0 ;; +} + +{.mfb + nop.m 0 + // exp10(+Infinity) = +Infinity + nop.f 0 + (p7) br.ret.spnt b0 ;; +} + +{.mfb + nop.m 0 + // exp10(+/-0) = 1 + (p8) mov f8 = f1 + (p8) br.ret.spnt b0 ;; +} + +{.mfb + nop.m 0 + // Remaining cases: NaNs + fma.s0 f8 = f8, f1, f0 + br.ret.sptk b0 ;; +} + + +OUT_RANGE_EXP10: + +// underflow: p6 = 1 +// overflow: p8 = 1 + +.pred.rel "mutex",p6,p8 +{.mmi + (p8) mov GR_CONST1 = 0x1fffe + (p6) mov GR_CONST1 = 1 + nop.i 0 +} +;; + +{.mii + setf.exp FR_KF0 = GR_CONST1 + (p8) mov GR_Parameter_TAG = 165 + (p6) mov GR_Parameter_TAG = 264 +} +;; + +{.mfb + nop.m 999 + fma.s0 f8 = FR_KF0, FR_KF0, f0 // Create overflow/underflow + br.cond.sptk __libm_error_region // Branch to error handling +} +;; + +GLOBAL_IEEE754_END(exp10l) +weak_alias (exp10l, pow10l) + + +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 + stfe [ GR_Parameter_Y ] = FR_Y, 16 // STORE Parameter 2 on stack + add GR_Parameter_X = 16, sp // Parameter 1 address +.save b0, GR_SAVE_B0 + mov GR_SAVE_B0 = b0 ;; // Save b0 +} + +.body +{.mib + stfe [ 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 + 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 + add GR_Parameter_RESULT = 48, sp + nop.m 0 + nop.i 0 ;; +} + +{.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# |