2001-02-19 09:09:18 +00:00
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.file "cbrt.asm"
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2002-07-06 06:36:39 +00:00
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// Copyright (C) 2000, 2001, Intel Corporation
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2001-02-19 09:09:18 +00:00
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// All rights reserved.
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//
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// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
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// Bob Norin, Shane Story, and Ping Tak Peter Tang
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// of the Computational Software Lab, Intel Corporation.
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2002-07-06 06:36:39 +00:00
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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//
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2001-02-19 09:09:18 +00:00
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://developer.intel.com/opensource.
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//
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// History
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//==============================================================
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// 2/02/00: Initial version
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// 5/19/00: New version (modified algorithm)
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//
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// API
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//==============================================================
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// double cbrt(double)
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//
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// Overview of operation
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//==============================================================
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// Background
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//
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// Implementation
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//
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// cbrt(a) = cbrt(a y) / cbrt(y)
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// = cbrt(1 - (1 - a y)) * 1/cbrt(y)
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//
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// where y = frcpa(a).
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//
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// * cbrt(1 - (1 - a y)) is approximated by a degree-5 polynomial
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//
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// 1 - (1/3)*r - (1/9)*r^2 - (5/81)*r^3 - (10/243)*r^4 - (22/729)*r^5
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//
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// in r = 1 - a y.
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//
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// * The values 1/cbrt(y) are stored in a table of constants T0
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// to 64 bits of accuracy
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//
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// The table values are stored for three exponent values and are
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// then multiplied by e/3 where e is the exponent of the input number.
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// This computation is carried out in parallel with the polynomial
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// evaluation:
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//
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// T = 2^(e/3) * T0
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//===============
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// input = x
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// C = frcpa(x)
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// r = 1 - C * x
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//
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// Special values
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//==============================================================
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// Registers used
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//==============================================================
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// f6-f15
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// r2, r23-r26, r28-r30
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// p6,p7,p8,p12
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#include "libm_support.h"
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// Data tables
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//==============================================================
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#ifdef _LIBC
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.rodata
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#else
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.data
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#endif
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.align 16
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poly_coeffs:
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ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
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data8 0xaaaaaaaaaaaaaaab, 0x00003ffd // 1/3
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data8 0x3fbc71c71c71c71d, 0x3faf9add3c0ca459
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data8 0x3fa511e8d2b3183b, 0x3f9ee7113506ac13
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ASM_SIZE_DIRECTIVE(poly_coeffs)
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T_table:
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ASM_TYPE_DIRECTIVE(T_table,@object)
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data8 0x80155c748c374836, 0xa160019ed37fb4ae
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data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
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data8 0xcbda64292d3ffd97, 0x8096b586974669b1
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data8 0xa202f97995b69c0d, 0xcc1f3184af961596
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data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
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data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
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data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
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data8 0x81149add67c2d208, 0xa2a197e5d10465cb
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data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
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data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
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data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
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data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
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data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
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data8 0x8302e60b635ab394, 0xa5105d46152c938a
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data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
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data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
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data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
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data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
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data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
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data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
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data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
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data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
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data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
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data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
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data8 0x844510461ff14209, 0xa6a6444aa0243c0b
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data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
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data8 0xa6dc094d10f25792, 0xd23ad555f773f059
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data8 0x84947e18234f3294, 0xa70a574cc02bba69
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data8 0xd2752c7039a5bf73, 0x84bf92755825045a
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data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
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data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
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data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
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data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
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data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
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data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
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data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
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data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
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data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
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data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
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data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
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data8 0xa9ea8686f556f645, 0xd614b539c6194104
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data8 0x870453c845acf90f, 0xaa1c52d17906bb19
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data8 0xd6537310e224283f, 0x872c089a1e90342c
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data8 0xaa4e59b046dab887, 0xd6927ab62244c917
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data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
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data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
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data8 0xaab319102f3f9b33, 0xd71169cea98fdded
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data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
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data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
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data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
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data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
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data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
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data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
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data8 0xd83e38838648d815, 0x885bc559e5e1c081
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data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
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data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
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data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
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data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
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data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
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data8 0xd92432bd5a173685, 0x88f4356166bd590e
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data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
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data8 0x89173a0acf5ce026, 0xacb93703ff51571e
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data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
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data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
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data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
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data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
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data8 0x8c3749916cc6abb5, 0xb0a93a6870649f31
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data8 0xde943789645933c8, 0x8c5dc4c4f7706032
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data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
|
|
|
|
|
data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
|
|
|
|
|
data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
|
|
|
|
|
data8 0x9c568656c0423def, 0xc4f938aec206291a
|
|
|
|
|
data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
|
|
|
|
|
data8 0xc52629e899dfd622, 0xf8646bf0defb759e
|
|
|
|
|
data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
|
|
|
|
|
data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
|
|
|
|
|
data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
|
|
|
|
|
data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
|
|
|
|
|
data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
|
|
|
|
|
data8 0xc5adf561b91e110a, 0xf90f832c2700c160
|
|
|
|
|
data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
|
|
|
|
|
data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
|
|
|
|
|
data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
|
|
|
|
|
data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
|
|
|
|
|
data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
|
|
|
|
|
data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
|
|
|
|
|
data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
|
|
|
|
|
data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
|
|
|
|
|
data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
|
|
|
|
|
data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
|
|
|
|
|
data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
|
|
|
|
|
data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
|
|
|
|
|
data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
|
|
|
|
|
data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
|
|
|
|
|
data8 0xc70fc0117c641630, 0xfacd431644ce0e40
|
|
|
|
|
data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
|
|
|
|
|
data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
|
|
|
|
|
data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
|
|
|
|
|
data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
|
|
|
|
|
data8 0xfb576c5762024805, 0x9e6ed27594550d2e
|
|
|
|
|
data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
|
|
|
|
|
data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
|
|
|
|
|
data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
|
|
|
|
|
data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
|
|
|
|
|
data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
|
|
|
|
|
data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
|
|
|
|
|
data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
|
|
|
|
|
data8 0x9ef976db07288d04, 0xc84b978847a06b87
|
|
|
|
|
data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
|
|
|
|
|
data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
|
|
|
|
|
data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
|
|
|
|
|
data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
|
|
|
|
|
data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
|
|
|
|
|
data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
|
|
|
|
|
data8 0xfd118595143ee273, 0x9f860593d42fd7f3
|
|
|
|
|
data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
|
|
|
|
|
data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
|
|
|
|
|
data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
|
|
|
|
|
data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
|
|
|
|
|
data8 0x9fd383731ca51db9, 0xc95e5112e721582a
|
|
|
|
|
data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
|
|
|
|
|
data8 0xc97f06bb49787677, 0xfdde8a67d2613531
|
|
|
|
|
data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
|
|
|
|
|
data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
|
|
|
|
|
data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
|
|
|
|
|
data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
|
|
|
|
|
data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
|
|
|
|
|
data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
|
|
|
|
|
data8 0xa07d73ba65e680af, 0xca346d07b045a876
|
|
|
|
|
data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
|
|
|
|
|
data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
|
|
|
|
|
data8 0xa0b24fe89e02602f, 0xca77068257be9bab
|
|
|
|
|
data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
|
|
|
|
|
data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
|
|
|
|
|
data8 0xa0e77200215909e6, 0xcab9f8122c99a101
|
|
|
|
|
data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
|
|
|
|
|
data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
|
|
|
|
|
data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
|
|
|
|
|
data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
|
|
|
|
|
data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
|
|
|
|
|
ASM_SIZE_DIRECTIVE(T_table)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
.align 32
|
|
|
|
|
.global cbrt#
|
|
|
|
|
|
|
|
|
|
.section .text
|
|
|
|
|
.proc cbrt#
|
|
|
|
|
.align 32
|
|
|
|
|
cbrt:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
{ .mfi
|
|
|
|
|
// get significand
|
|
|
|
|
getf.sig r23=f8
|
|
|
|
|
// will continue only for normal/denormal numbers
|
|
|
|
|
(p0) fclass.nm.unc p12,p0 = f8, 0x1b
|
|
|
|
|
// r2 = pointer to C_1,...,C_5 followed by T_table
|
|
|
|
|
addl r2 = @ltoff(poly_coeffs), gp
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
// get exponent
|
|
|
|
|
getf.exp r24=f8
|
|
|
|
|
// normalize a
|
|
|
|
|
fma.s1 f14=f8,f1,f0
|
|
|
|
|
// r29=bias-((2^{12}-1)/3) -63=0xffff-0x555-0x3f=0xfa6b
|
|
|
|
|
mov r29=0xfa6b;;
|
|
|
|
|
}
|
|
|
|
|
{.mlx
|
|
|
|
|
mov r25=0x20000
|
|
|
|
|
// r28=2^52
|
|
|
|
|
movl r28=0x8000000000000000;;
|
|
|
|
|
}
|
|
|
|
|
{.mfb
|
|
|
|
|
// load start address for C_1,...,C_5 followed by T_table
|
|
|
|
|
ld8 r3=[r2]
|
|
|
|
|
(p12) fma.d.s0 f8=f8,f1,f0
|
|
|
|
|
(p12) br.ret.spnt b0
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// y=frcpa(a)
|
|
|
|
|
frcpa.s0 f8,p6=f1,f8
|
|
|
|
|
// p7=1 if denormal input
|
|
|
|
|
cmp.gtu p7,p0=r28,r23;;
|
|
|
|
|
}
|
|
|
|
|
{.mmi
|
|
|
|
|
// get exponent
|
|
|
|
|
(p7) getf.exp r24=f14
|
|
|
|
|
// get normalized significand
|
|
|
|
|
(p7) getf.sig r23=f14
|
|
|
|
|
// r28=bias-(2^{12}-1)
|
|
|
|
|
mov r28=0xf000;;
|
|
|
|
|
}
|
|
|
|
|
{.mii
|
|
|
|
|
// get r26=sign
|
|
|
|
|
and r26=r24,r25
|
|
|
|
|
// eliminate leading 1 from r23=1st table index
|
|
|
|
|
shl r23=r23,1
|
|
|
|
|
// eliminate sign from exponent (r25)
|
|
|
|
|
andcm r25=r24,r25;;
|
|
|
|
|
}
|
|
|
|
|
{.mib
|
|
|
|
|
add r2=32,r3
|
|
|
|
|
// r23=1st table index (y_index,8 bits)
|
|
|
|
|
shr.u r23=r23,56
|
|
|
|
|
nop.b 0
|
|
|
|
|
}
|
|
|
|
|
{.mib
|
|
|
|
|
// load C_1
|
|
|
|
|
ldfe f7=[r3],16
|
|
|
|
|
// subtract bias from r25=exponent
|
|
|
|
|
sub r25=r25,r28
|
|
|
|
|
nop.b 0;;
|
|
|
|
|
}
|
|
|
|
|
{.mib
|
|
|
|
|
// load C_2, C_3
|
|
|
|
|
ldfpd f9,f10=[r3]
|
|
|
|
|
// 1: exponent*=5; // (2^{16}-1)/3=0x5555
|
|
|
|
|
shladd r24=r25,2,r25
|
|
|
|
|
nop.b 0
|
|
|
|
|
}
|
|
|
|
|
{.mib
|
|
|
|
|
// load C_4, C_5
|
|
|
|
|
ldfpd f11,f12=[r2],16
|
|
|
|
|
// r23=3*y_index
|
|
|
|
|
shladd r23=r23,1,r23
|
|
|
|
|
nop.b 0;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{.mfi
|
|
|
|
|
// r30=(5*expon)*16+5*expon=(0x55)*expon
|
|
|
|
|
shladd r30=r24,4,r24
|
|
|
|
|
// r=1-a*y
|
|
|
|
|
(p6) fnma.s1 f6=f8,f14,f1
|
|
|
|
|
// adjust T_table pointer by 1st index
|
|
|
|
|
shladd r2=r23,3,r2;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{.mii
|
|
|
|
|
nop.m 0
|
|
|
|
|
// r24=(0x5500)*expon
|
|
|
|
|
shl r24=r30,8;;
|
|
|
|
|
// r24=(0x5555)*expon
|
|
|
|
|
add r24=r24,r30;;
|
|
|
|
|
}
|
|
|
|
|
{.mii
|
|
|
|
|
// r24=(0x5556)*expon // 0x5556=(2^{16}+2)/3
|
|
|
|
|
add r24=r24,r25
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
// r24=floor(expon/3)
|
|
|
|
|
shr r24=r24,16;;
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
// r28=3*exponent
|
|
|
|
|
shladd r28=r24,1,r24
|
|
|
|
|
// r2=r*r
|
|
|
|
|
(p6) fma.s1 f13=f6,f6,f0
|
|
|
|
|
// bias exponent
|
|
|
|
|
add r24=r29,r24;;
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
// get remainder of exponent/3 : r25-r28
|
|
|
|
|
sub r25=r25,r28
|
|
|
|
|
// c2+c3*r
|
|
|
|
|
(p6) fma.s1 f9=f10,f6,f9
|
|
|
|
|
// add sign to exponent
|
|
|
|
|
or r24=r24,r26
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// c4+c5*r
|
|
|
|
|
(p6) fma.s1 f11=f12,f6,f11
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
}
|
|
|
|
|
{.mmi
|
|
|
|
|
// f14=sign*2^{exponent/3}
|
|
|
|
|
(p6) setf.exp f14=r24
|
|
|
|
|
// adjust T_table pointer by 2nd index
|
|
|
|
|
shladd r2=r25,3,r2
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
}
|
|
|
|
|
{.mmi
|
|
|
|
|
// load T
|
|
|
|
|
(p6) ldf8 f8=[r2]
|
|
|
|
|
nop.m 0
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// (c2+c3*r)+r^2*(c4+c5*r)
|
|
|
|
|
(p6) fma.s1 f9=f11,f13,f9
|
|
|
|
|
nop.i 0
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// c1*r
|
|
|
|
|
(p6) fma.s1 f7=f7,f6,f0
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// P=c1*r+r^2*[(c2+c3*r)+r^2*(c4+c5*r)]
|
|
|
|
|
(p6) fma.s1 f9=f9,f13,f7
|
|
|
|
|
nop.i 0
|
|
|
|
|
}
|
|
|
|
|
{.mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// T'=T*(2^exp)
|
|
|
|
|
(p6) fma.s1 f8=f8,f14,f0
|
|
|
|
|
nop.i 0;;
|
|
|
|
|
}
|
|
|
|
|
{.mfb
|
|
|
|
|
nop.m 0
|
|
|
|
|
// result = T'-T'*P
|
|
|
|
|
(p6) fnma.d.s0 f8=f8,f9,f8
|
|
|
|
|
br.ret.sptk b0;;
|
|
|
|
|
}
|
|
|
|
|
.endp cbrt
|
|
|
|
|
ASM_SIZE_DIRECTIVE(cbrt)
|
