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428 lines
10 KiB
428 lines
10 KiB
.file "ldexp.s"
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// Copyright (c) 2000, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
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// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
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//
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// WARRANTY DISCLAIMER
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//
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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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// 4/04/00 Unwind support added
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// 5/22/00 rewritten to not take swa and be a little faster
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// 8/15/00 Bundle added after call to __libm_error_support to properly
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// set [the previously overwritten] GR_Parameter_RESULT.
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//12/07/00 Removed code that prevented call to __libm_error_support.
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// Stored r33 instead of f9 as Parameter 2 for call to
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// __libm_error_support.
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//
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// API
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//==============================================================
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// double = ldexp (double x, int n)
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// input floating point f8 and integer r33
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// output floating point f8
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//
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// returns x* 2**n computed by exponent
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// manipulation rather than by actually performing an
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// exponentiation or a multiplication.
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//
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// Overview of operation
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//==============================================================
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//
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// ldexp:
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// p7 is set if x is nan, inf, zero; go to x_nan_inf_zero
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// sign extend r33
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// norm_f8 = fnorm(f8)
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// get exponent of norm_f8
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// add to r33 to get new exponent
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// p6, new_exponent > 103fe => overflow
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// p7, new_exponent > fbcd => underflow
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// setf new_exponent, merge significand, normalize, return
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ldexp_float_int_f9 = f10
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ldexp_int_f9 = f11
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ldexp_max_exp = f12
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ldexp_neg_max_exp = f13
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ldexp_new_f9 = f14
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LDEXP_BIG = f32
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LDEXP_NORM_F8 = f33
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LDEXP_FFFF = f34
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LDEXP_BIG_SIGN = f35
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LDEXP_13FFE = f36
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LDEXP_INV_BIG_SIGN = f37
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// general registers used
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// r32 has ar.pfs
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// r33 has input integer
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ldexp_GR_signexp = r34
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ldexp_GR_13FFE = r35
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ldexp_GR_new_exponent = r36
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ldexp_GE_FBCD = r37
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ldexp_GR_17ones = r38
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GR_SAVE_B0 = r39
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GR_SAVE_GP = r40
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GR_SAVE_PFS = r41
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ldexp_GR_exponent = r42
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ldexp_GR_103FE = r43
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ldexp_GR_FFFF = r44
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GR_Parameter_X = r45
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GR_Parameter_Y = r46
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GR_Parameter_RESULT = r47
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ldexp_GR_tag = r48
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.global ldexp
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// ===============================================================
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// LDEXP
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// ===============================================================
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.text
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.proc ldexp
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.align 32
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// Be sure to sign extend r33 because the
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// integer comes in as 32-bits
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ldexp:
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// x NAN, INF, ZERO, +-
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{ .mfi
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alloc r32=ar.pfs,1,12,4,0
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fclass.m.unc p7,p0 = f8, 0xe7 //@qnan | @snan | @inf | @zero
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sxt4 r33 = r33
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}
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;;
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{ .mfi
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nop.m 999
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fnorm LDEXP_NORM_F8 = f8
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nop.i 999
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}
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{ .mbb
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nop.m 999
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(p7) br.cond.spnt LDEXP_X_NAN_INF_ZERO
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nop.b 999
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}
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;;
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// LDEXP_BIG gets a big number, enough to overflow an frcpa
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// but not take an architecturally mandated swa.
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// We construct this constant rather than load it.
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{ .mlx
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mov ldexp_GR_17ones = 0x1FFFF
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movl ldexp_GR_FFFF = 0xffffffffffffffff
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}
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{ .mfi
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addl ldexp_GR_13FFE = 0x13ffe, r0
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nop.f 999
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nop.i 999
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}
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;;
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{ .mmb
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setf.exp LDEXP_13FFE = ldexp_GR_13FFE
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setf.sig LDEXP_FFFF = ldexp_GR_FFFF
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nop.b 999
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}
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;;
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{ .mfi
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nop.m 999
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fmerge.se LDEXP_BIG = LDEXP_13FFE, LDEXP_FFFF
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nop.i 999
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}
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// Put the absolute normalized exponent in ldexp_GR_new_exponent
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// Assuming that the input int is in r33.
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// ldexp_GR_new_exponent gets the input int + the exponent of the input double
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{ .mfi
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getf.exp ldexp_GR_signexp = LDEXP_NORM_F8
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nop.f 999
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nop.i 999
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}
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;;
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{ .mii
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nop.m 999
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nop.i 999
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and ldexp_GR_exponent = ldexp_GR_signexp, ldexp_GR_17ones
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}
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;;
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// HUGE
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// Put big number in ldexp_GR_103FE
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// If ldexp_GR_new_exponent is bigger than ldexp_GR_103FE
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// Return a big number of the same sign
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// double: largest double exponent is 7fe (double-biased)
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// 103fe (register-biased)
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// f11 gets the big value in f9 with the f8 sign
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// For single,
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// single: largest single exponent is fe (single-biased)
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// fe - 7f + ffff = 1007e
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{ .mii
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add ldexp_GR_new_exponent = ldexp_GR_exponent, r33
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addl ldexp_GR_103FE = 0x103fe, r0
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nop.i 999
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}
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;;
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{ .mfi
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setf.exp f12 = ldexp_GR_new_exponent
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nop.f 999
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cmp.gt.unc p6,p0 = ldexp_GR_new_exponent, ldexp_GR_103FE
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}
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;;
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{ .mfb
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nop.m 999
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(p6) fmerge.s LDEXP_BIG_SIGN = f8, LDEXP_BIG
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nop.b 999
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}
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;;
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{ .mfi
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nop.m 999
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(p6) fma.d f12 = LDEXP_BIG_SIGN, LDEXP_BIG, f0
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(p6) mov ldexp_GR_tag = 146
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}
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{ .mib
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nop.m 999
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nop.i 999
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(p6) br.spnt LDEXP_HUGE
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}
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;;
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// TINY
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// Put a small number in ldexp_GE_FBCD
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// If ldexp_GR_new_exponent is less than ldexp_GE_FBCD
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// Return a small number of the same sign
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// double:
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// 0xfbcd is -1074 unbiased, which is the exponent
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// of the smallest double denormal
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// single
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// 0xff6a is -149 unbiased which is the exponent
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// of the smallest single denormal
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//
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// Take the large value in f9 and put in f10 with
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// the sign of f8. Then take reciprocal in f11
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{ .mfi
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addl ldexp_GE_FBCD = 0xfbcd, r0
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nop.f 999
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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nop.f 999
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cmp.lt.unc p7,p0 = ldexp_GR_new_exponent, ldexp_GE_FBCD
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}
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;;
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{ .mfi
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nop.m 999
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(p7) fmerge.s LDEXP_BIG_SIGN = f8, LDEXP_BIG
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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(p7) frcpa.s1 LDEXP_INV_BIG_SIGN,p10 = f1,LDEXP_BIG_SIGN
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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(p7) fnorm.d f12 = LDEXP_INV_BIG_SIGN
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(p7) mov ldexp_GR_tag = 147
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}
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{ .mib
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nop.m 999
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nop.i 999
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(p7) br.spnt LDEXP_TINY
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}
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;;
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// CALCULATION
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// Put exponent of answer in f12
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// f10 has the normalized f8
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// f13 = exp(f12) sig(f10)
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// f14 = sign(f8) expsig(f13)
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{ .mfi
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nop.m 999
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fmerge.se f13 = f12,LDEXP_NORM_F8
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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fmerge.s f14 = f8,f13
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nop.i 999
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}
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;;
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{ .mfb
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nop.m 999
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fnorm.d f8 = f14
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br.ret.sptk b0
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}
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;;
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LDEXP_N_NAN_INF:
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// Is n a NAN?
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{ .mfi
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nop.m 999
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(p0) fclass.m.unc p6,p0 = f9, 0xc3 //@snan | @qnan
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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(p6) fma.d f8 = f8,f9,f0
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nop.i 999
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}
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// Is n +INF?
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{ .mfi
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nop.m 999
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(p0) fclass.m.unc p7,p0 = f9, 0x21 //@inf | @pos
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nop.i 999
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}
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;;
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{ .mfi
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nop.m 999
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(p7) fma.d f8 = f8,f9,f0
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nop.i 999
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}
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// Is n -inf?
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{ .mfi
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nop.m 999
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fclass.m.unc p8,p9 = f9, 0x22 //@inf | @neg
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nop.i 999
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}
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;;
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{ .mfb
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nop.m 999
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(p8) frcpa f8,p6 = f8,f9
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br.ret.sptk b0
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}
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;;
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LDEXP_X_NAN_INF_ZERO:
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{ .mfb
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nop.m 999
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fnorm.d f8 = f8 // quietize
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br.ret.sptk b0
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}
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;;
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.endp ldexp
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.proc __libm_error_region
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__libm_error_region:
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LDEXP_HUGE:
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LDEXP_TINY:
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.prologue
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{ .mfi
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add GR_Parameter_Y=-32,sp // Parameter 2 value
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nop.f 0
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.save ar.pfs,GR_SAVE_PFS
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mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
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}
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{ .mfi
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.fframe 64
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add sp=-64,sp // Create new stack
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nop.f 0
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mov GR_SAVE_GP=gp // Save gp
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};;
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{ .mmi
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st8 [GR_Parameter_Y] = r33,16 // STORE Parameter 2 on stack
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add GR_Parameter_X = 16,sp // Parameter 1 address
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.save b0, GR_SAVE_B0
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mov GR_SAVE_B0=b0 // Save b0
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};;
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.body
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{ .mib
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stfd [GR_Parameter_X] = f8 // STORE Parameter 1 on stack
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add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
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nop.b 0
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}
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{ .mib
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stfd [GR_Parameter_Y] = f12 // STORE Parameter 3 on stack
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add GR_Parameter_Y = -16,GR_Parameter_Y
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br.call.sptk b0=__libm_error_support# // Call error handling function
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};;
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{ .mmi
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nop.m 0
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nop.m 0
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add GR_Parameter_RESULT = 48,sp
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};;
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{ .mmi
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ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack
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.restore
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add sp = 64,sp // Restore stack pointer
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mov b0 = GR_SAVE_B0 // Restore return address
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};;
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{ .mib
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mov gp = GR_SAVE_GP // Restore gp
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mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
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br.ret.sptk b0 // Return
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};;
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.endp __libm_error_region
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.type __libm_error_support#,@function
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.global __libm_error_support#
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