745 lines
22 KiB
ArmAsm
745 lines
22 KiB
ArmAsm
.file "libm_sincosf.s"
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// Copyright (c) 2002 - 2003, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2002 by the Intel Numerics Group, Intel Corporation
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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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// 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://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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// History
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//==============================================================
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// 02/01/02 Initial version
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// 02/18/02 Large arguments processing routine is excluded.
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// External interface entry points are added
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// 02/26/02 Added temporary return of results in r8, r9
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// 03/13/02 Corrected restore of predicate registers
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// 03/19/02 Added stack unwind around call to __libm_cisf_large
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// 09/05/02 Work range is widened by reduction strengthen (2 parts of Pi/16)
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// 02/10/03 Reordered header: .section, .global, .proc, .align
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// 02/11/04 cisf is moved to the separate file.
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// API
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//==============================================================
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// 1) void sincosf(float, float*s, float*c)
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// 2) __libm_sincosf - internal LIBM function, that accepts
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// argument in f8 and returns cosine through f8, sine through f9
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//
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// Overview of operation
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//==============================================================
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//
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// Step 1
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// ======
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// Reduce x to region -1/2*pi/2^k ===== 0 ===== +1/2*pi/2^k where k=4
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// divide x by pi/2^k.
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// Multiply by 2^k/pi.
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// nfloat = Round result to integer (round-to-nearest)
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//
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// r = x - nfloat * pi/2^k
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// Do this as (x - nfloat * HIGH(pi/2^k)) - nfloat * LOW(pi/2^k) for increased accuracy.
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// pi/2^k is stored as two numbers that when added make pi/2^k.
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// pi/2^k = HIGH(pi/2^k) + LOW(pi/2^k)
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// HIGH part is rounded to zero, LOW - to nearest
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//
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// x = (nfloat * pi/2^k) + r
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// r is small enough that we can use a polynomial approximation
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// and is referred to as the reduced argument.
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//
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// Step 3
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// ======
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// Take the unreduced part and remove the multiples of 2pi.
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// So nfloat = nfloat (with lower k+1 bits cleared) + lower k+1 bits
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//
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// nfloat (with lower k+1 bits cleared) is a multiple of 2^(k+1)
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// N * 2^(k+1)
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// nfloat * pi/2^k = N * 2^(k+1) * pi/2^k + (lower k+1 bits) * pi/2^k
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// nfloat * pi/2^k = N * 2 * pi + (lower k+1 bits) * pi/2^k
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// nfloat * pi/2^k = N2pi + M * pi/2^k
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//
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//
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// Sin(x) = Sin((nfloat * pi/2^k) + r)
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// = Sin(nfloat * pi/2^k) * Cos(r) + Cos(nfloat * pi/2^k) * Sin(r)
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//
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// Sin(nfloat * pi/2^k) = Sin(N2pi + Mpi/2^k)
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// = Sin(N2pi)Cos(Mpi/2^k) + Cos(N2pi)Sin(Mpi/2^k)
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// = Sin(Mpi/2^k)
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//
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// Cos(nfloat * pi/2^k) = Cos(N2pi + Mpi/2^k)
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// = Cos(N2pi)Cos(Mpi/2^k) + Sin(N2pi)Sin(Mpi/2^k)
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// = Cos(Mpi/2^k)
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//
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// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
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//
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//
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// Step 4
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// ======
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// 0 <= M < 2^(k+1)
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// There are 2^(k+1) Sin entries in a table.
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// There are 2^(k+1) Cos entries in a table.
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//
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// Get Sin(Mpi/2^k) and Cos(Mpi/2^k) by table lookup.
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//
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//
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// Step 5
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// ======
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// Calculate Cos(r) and Sin(r) by polynomial approximation.
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//
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// Cos(r) = 1 + r^2 q1 + r^4 q2 = Series for Cos
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// Sin(r) = r + r^3 p1 + r^5 p2 = Series for Sin
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//
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// and the coefficients q1, q2 and p1, p2 are stored in a table
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//
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//
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// Calculate
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// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
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//
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// as follows
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//
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// S[m] = Sin(Mpi/2^k) and C[m] = Cos(Mpi/2^k)
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// rsq = r*r
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//
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//
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// P = p1 + r^2p2
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// Q = q1 + r^2q2
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//
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// rcub = r * rsq
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// Sin(r) = r + rcub * P
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// = r + r^3p1 + r^5p2 = Sin(r)
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//
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// P = r + rcub * P
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//
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// Answer = S[m] Cos(r) + C[m] P
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//
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// Cos(r) = 1 + rsq Q
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// Cos(r) = 1 + r^2 Q
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// Cos(r) = 1 + r^2 (q1 + r^2q2)
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// Cos(r) = 1 + r^2q1 + r^4q2
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//
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// S[m] Cos(r) = S[m](1 + rsq Q)
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// S[m] Cos(r) = S[m] + S[m] rsq Q
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// S[m] Cos(r) = S[m] + s_rsq Q
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// Q = S[m] + s_rsq Q
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//
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// Then,
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//
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// Answer = Q + C[m] P
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// Registers used
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//==============================================================
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// general input registers:
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// r14 -> r19
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// r32 -> r49
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// predicate registers used:
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// p6 -> p14
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// floating-point registers used
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// f9 -> f15
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// f32 -> f100
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// Assembly macros
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//==============================================================
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cisf_Arg = f8
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cisf_Sin_res = f9
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cisf_Cos_res = f8
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cisf_NORM_f8 = f10
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cisf_W = f11
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cisf_int_Nfloat = f12
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cisf_Nfloat = f13
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cisf_r = f14
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cisf_r_exact = f68
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cisf_rsq = f15
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cisf_rcub = f32
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cisf_Inv_Pi_by_16 = f33
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cisf_Pi_by_16_hi = f34
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cisf_Pi_by_16_lo = f35
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cisf_Inv_Pi_by_64 = f36
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cisf_Pi_by_64_hi = f37
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cisf_Pi_by_64_lo = f38
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cisf_P1 = f39
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cisf_Q1 = f40
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cisf_P2 = f41
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cisf_Q2 = f42
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cisf_P3 = f43
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cisf_Q3 = f44
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cisf_P4 = f45
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cisf_Q4 = f46
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cisf_P_temp1 = f47
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cisf_P_temp2 = f48
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cisf_Q_temp1 = f49
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cisf_Q_temp2 = f50
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cisf_P = f51
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cisf_SIG_INV_PI_BY_16_2TO61 = f52
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cisf_RSHF_2TO61 = f53
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cisf_RSHF = f54
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cisf_2TOM61 = f55
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cisf_NFLOAT = f56
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cisf_W_2TO61_RSH = f57
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cisf_tmp = f58
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cisf_Sm_sin = f59
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cisf_Cm_sin = f60
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cisf_Sm_cos = f61
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cisf_Cm_cos = f62
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cisf_srsq_sin = f63
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cisf_srsq_cos = f64
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cisf_Q_sin = f65
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cisf_Q_cos = f66
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cisf_Q = f67
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/////////////////////////////////////////////////////////////
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cisf_pResSin = r33
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cisf_pResCos = r34
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cisf_exp_limit = r35
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cisf_r_signexp = r36
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cisf_AD_beta_table = r37
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cisf_r_sincos = r38
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cisf_r_exp = r39
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cisf_r_17_ones = r40
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cisf_GR_sig_inv_pi_by_16 = r14
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cisf_GR_rshf_2to61 = r15
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cisf_GR_rshf = r16
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cisf_GR_exp_2tom61 = r17
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cisf_GR_n = r18
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cisf_GR_n_sin = r19
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cisf_GR_m_sin = r41
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cisf_GR_32m_sin = r41
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cisf_GR_n_cos = r42
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cisf_GR_m_cos = r43
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cisf_GR_32m_cos = r43
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cisf_AD_2_sin = r44
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cisf_AD_2_cos = r45
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cisf_gr_tmp = r46
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GR_SAVE_B0 = r47
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GR_SAVE_GP = r48
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rB0_SAVED = r49
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GR_SAVE_PFS = r50
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GR_SAVE_PR = r51
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cisf_AD_1 = r52
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RODATA
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.align 16
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// Pi/16 parts
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LOCAL_OBJECT_START(double_cisf_pi)
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data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 1st part
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data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 2nd part
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LOCAL_OBJECT_END(double_cisf_pi)
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// Coefficients for polynomials
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LOCAL_OBJECT_START(double_cisf_pq_k4)
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data8 0x3F810FABB668E9A2 // P2
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data8 0x3FA552E3D6DE75C9 // Q2
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data8 0xBFC555554447BC7F // P1
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data8 0xBFDFFFFFC447610A // Q1
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LOCAL_OBJECT_END(double_cisf_pq_k4)
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// Sincos table (S[m], C[m])
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LOCAL_OBJECT_START(double_sin_cos_beta_k4)
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data8 0x0000000000000000 // sin ( 0 Pi / 16 )
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data8 0x3FF0000000000000 // cos ( 0 Pi / 16 )
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//
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data8 0x3FC8F8B83C69A60B // sin ( 1 Pi / 16 )
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data8 0x3FEF6297CFF75CB0 // cos ( 1 Pi / 16 )
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//
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data8 0x3FD87DE2A6AEA963 // sin ( 2 Pi / 16 )
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data8 0x3FED906BCF328D46 // cos ( 2 Pi / 16 )
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//
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data8 0x3FE1C73B39AE68C8 // sin ( 3 Pi / 16 )
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data8 0x3FEA9B66290EA1A3 // cos ( 3 Pi / 16 )
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//
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data8 0x3FE6A09E667F3BCD // sin ( 4 Pi / 16 )
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data8 0x3FE6A09E667F3BCD // cos ( 4 Pi / 16 )
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//
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data8 0x3FEA9B66290EA1A3 // sin ( 5 Pi / 16 )
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data8 0x3FE1C73B39AE68C8 // cos ( 5 Pi / 16 )
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//
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data8 0x3FED906BCF328D46 // sin ( 6 Pi / 16 )
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data8 0x3FD87DE2A6AEA963 // cos ( 6 Pi / 16 )
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//
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data8 0x3FEF6297CFF75CB0 // sin ( 7 Pi / 16 )
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data8 0x3FC8F8B83C69A60B // cos ( 7 Pi / 16 )
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//
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data8 0x3FF0000000000000 // sin ( 8 Pi / 16 )
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data8 0x0000000000000000 // cos ( 8 Pi / 16 )
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//
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data8 0x3FEF6297CFF75CB0 // sin ( 9 Pi / 16 )
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data8 0xBFC8F8B83C69A60B // cos ( 9 Pi / 16 )
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//
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data8 0x3FED906BCF328D46 // sin ( 10 Pi / 16 )
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data8 0xBFD87DE2A6AEA963 // cos ( 10 Pi / 16 )
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//
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data8 0x3FEA9B66290EA1A3 // sin ( 11 Pi / 16 )
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data8 0xBFE1C73B39AE68C8 // cos ( 11 Pi / 16 )
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//
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data8 0x3FE6A09E667F3BCD // sin ( 12 Pi / 16 )
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data8 0xBFE6A09E667F3BCD // cos ( 12 Pi / 16 )
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//
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data8 0x3FE1C73B39AE68C8 // sin ( 13 Pi / 16 )
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data8 0xBFEA9B66290EA1A3 // cos ( 13 Pi / 16 )
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//
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data8 0x3FD87DE2A6AEA963 // sin ( 14 Pi / 16 )
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data8 0xBFED906BCF328D46 // cos ( 14 Pi / 16 )
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//
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data8 0x3FC8F8B83C69A60B // sin ( 15 Pi / 16 )
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data8 0xBFEF6297CFF75CB0 // cos ( 15 Pi / 16 )
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//
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data8 0x0000000000000000 // sin ( 16 Pi / 16 )
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data8 0xBFF0000000000000 // cos ( 16 Pi / 16 )
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//
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data8 0xBFC8F8B83C69A60B // sin ( 17 Pi / 16 )
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data8 0xBFEF6297CFF75CB0 // cos ( 17 Pi / 16 )
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//
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data8 0xBFD87DE2A6AEA963 // sin ( 18 Pi / 16 )
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data8 0xBFED906BCF328D46 // cos ( 18 Pi / 16 )
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//
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data8 0xBFE1C73B39AE68C8 // sin ( 19 Pi / 16 )
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data8 0xBFEA9B66290EA1A3 // cos ( 19 Pi / 16 )
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//
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data8 0xBFE6A09E667F3BCD // sin ( 20 Pi / 16 )
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data8 0xBFE6A09E667F3BCD // cos ( 20 Pi / 16 )
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//
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data8 0xBFEA9B66290EA1A3 // sin ( 21 Pi / 16 )
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data8 0xBFE1C73B39AE68C8 // cos ( 21 Pi / 16 )
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//
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data8 0xBFED906BCF328D46 // sin ( 22 Pi / 16 )
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data8 0xBFD87DE2A6AEA963 // cos ( 22 Pi / 16 )
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//
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data8 0xBFEF6297CFF75CB0 // sin ( 23 Pi / 16 )
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data8 0xBFC8F8B83C69A60B // cos ( 23 Pi / 16 )
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//
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data8 0xBFF0000000000000 // sin ( 24 Pi / 16 )
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data8 0x0000000000000000 // cos ( 24 Pi / 16 )
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//
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data8 0xBFEF6297CFF75CB0 // sin ( 25 Pi / 16 )
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data8 0x3FC8F8B83C69A60B // cos ( 25 Pi / 16 )
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//
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data8 0xBFED906BCF328D46 // sin ( 26 Pi / 16 )
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data8 0x3FD87DE2A6AEA963 // cos ( 26 Pi / 16 )
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//
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data8 0xBFEA9B66290EA1A3 // sin ( 27 Pi / 16 )
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data8 0x3FE1C73B39AE68C8 // cos ( 27 Pi / 16 )
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//
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data8 0xBFE6A09E667F3BCD // sin ( 28 Pi / 16 )
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data8 0x3FE6A09E667F3BCD // cos ( 28 Pi / 16 )
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//
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data8 0xBFE1C73B39AE68C8 // sin ( 29 Pi / 16 )
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data8 0x3FEA9B66290EA1A3 // cos ( 29 Pi / 16 )
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//
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data8 0xBFD87DE2A6AEA963 // sin ( 30 Pi / 16 )
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data8 0x3FED906BCF328D46 // cos ( 30 Pi / 16 )
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//
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data8 0xBFC8F8B83C69A60B // sin ( 31 Pi / 16 )
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data8 0x3FEF6297CFF75CB0 // cos ( 31 Pi / 16 )
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//
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data8 0x0000000000000000 // sin ( 32 Pi / 16 )
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data8 0x3FF0000000000000 // cos ( 32 Pi / 16 )
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LOCAL_OBJECT_END(double_sin_cos_beta_k4)
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.section .text
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GLOBAL_IEEE754_ENTRY(sincosf)
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// cis_GR_sig_inv_pi_by_16 = significand of 16/pi
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{ .mlx
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alloc GR_SAVE_PFS = ar.pfs, 0, 21, 0, 0
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movl cisf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A // 16/pi signd
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}
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// cis_GR_rshf_2to61 = 1.1000 2^(63+63-2)
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{ .mlx
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addl cisf_AD_1 = @ltoff(double_cisf_pi), gp
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movl cisf_GR_rshf_2to61 = 0x47b8000000000000 // 1.1 2^(63+63-2)
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};;
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{ .mfi
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ld8 cisf_AD_1 = [cisf_AD_1]
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fnorm.s1 cisf_NORM_f8 = cisf_Arg
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cmp.eq p13, p14 = r0, r0 // p13 set for sincos
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}
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// cis_GR_exp_2tom61 = exponent of scaling factor 2^-61
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{ .mib
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mov cisf_GR_exp_2tom61 = 0xffff-61
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nop.i 0
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br.cond.sptk _CISF_COMMON
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};;
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GLOBAL_IEEE754_END(sincosf)
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GLOBAL_LIBM_ENTRY(__libm_sincosf)
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{ .mlx
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// cisf_GR_sig_inv_pi_by_16 = significand of 16/pi
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alloc GR_SAVE_PFS = ar.pfs,0,21,0,0
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movl cisf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A
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}
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// cisf_GR_rshf_2to61 = 1.1000 2^(63+63-2)
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{ .mlx
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addl cisf_AD_1 = @ltoff(double_cisf_pi), gp
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movl cisf_GR_rshf_2to61 = 0x47b8000000000000
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};;
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// p14 set for __libm_sincos and cis
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{ .mfi
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ld8 cisf_AD_1 = [cisf_AD_1]
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fnorm.s1 cisf_NORM_f8 = cisf_Arg
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cmp.eq p14, p13 = r0, r0
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}
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// cisf_GR_exp_2tom61 = exponent of scaling factor 2^-61
|
|
{ .mib
|
|
mov cisf_GR_exp_2tom61 = 0xffff-61
|
|
nop.i 0
|
|
nop.b 0
|
|
};;
|
|
|
|
_CISF_COMMON:
|
|
// Form two constants we need
|
|
// 16/pi * 2^-2 * 2^63, scaled by 2^61 since we just loaded the significand
|
|
// 1.1000...000 * 2^(63+63-2) to right shift int(W) into the low significand
|
|
// fcmp used to set denormal, and invalid on snans
|
|
{ .mfi
|
|
setf.sig cisf_SIG_INV_PI_BY_16_2TO61 = cisf_GR_sig_inv_pi_by_16
|
|
fclass.m p6,p0 = cisf_Arg, 0xe7//if x=0,inf,nan
|
|
addl cisf_gr_tmp = -1, r0
|
|
}
|
|
// cisf_GR_rshf = 1.1000 2^63 for right shift
|
|
{ .mlx
|
|
setf.d cisf_RSHF_2TO61 = cisf_GR_rshf_2to61
|
|
movl cisf_GR_rshf = 0x43e8000000000000
|
|
};;
|
|
|
|
// Form another constant
|
|
// 2^-61 for scaling Nfloat
|
|
// 0x10017 is register_bias + 24.
|
|
// So if f8 >= 2^24, go to large args routine
|
|
{ .mmi
|
|
getf.exp cisf_r_signexp = cisf_Arg
|
|
setf.exp cisf_2TOM61 = cisf_GR_exp_2tom61
|
|
mov cisf_exp_limit = 0x10017
|
|
};;
|
|
|
|
// Load the two pieces of pi/16
|
|
// Form another constant
|
|
// 1.1000...000 * 2^63, the right shift constant
|
|
{ .mmb
|
|
ldfe cisf_Pi_by_16_hi = [cisf_AD_1],16
|
|
setf.d cisf_RSHF = cisf_GR_rshf
|
|
(p6) br.cond.spnt _CISF_SPECIAL_ARGS
|
|
};;
|
|
|
|
{ .mmi
|
|
ldfe cisf_Pi_by_16_lo = [cisf_AD_1],16
|
|
setf.sig cisf_tmp = cisf_gr_tmp //constant for inexact set
|
|
nop.i 0
|
|
};;
|
|
|
|
// Start loading P, Q coefficients
|
|
{ .mmi
|
|
ldfpd cisf_P2,cisf_Q2 = [cisf_AD_1],16
|
|
nop.m 0
|
|
dep.z cisf_r_exp = cisf_r_signexp, 0, 17
|
|
};;
|
|
|
|
// p10 is true if we must call routines to handle larger arguments
|
|
// p10 is true if f8 exp is >= 0x10017
|
|
{ .mmb
|
|
ldfpd cisf_P1,cisf_Q1 = [cisf_AD_1], 16
|
|
cmp.ge p10, p0 = cisf_r_exp, cisf_exp_limit
|
|
(p10) br.cond.spnt _CISF_LARGE_ARGS // go to |x| >= 2^24 path
|
|
};;
|
|
|
|
// cisf_W = x * cisf_Inv_Pi_by_16
|
|
// Multiply x by scaled 16/pi and add large const to shift integer part of W to
|
|
// rightmost bits of significand
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_W_2TO61_RSH = cisf_NORM_f8,cisf_SIG_INV_PI_BY_16_2TO61,cisf_RSHF_2TO61
|
|
nop.i 0
|
|
};;
|
|
|
|
// cisf_NFLOAT = Round_Int_Nearest(cisf_W)
|
|
{ .mfi
|
|
nop.m 0
|
|
fms.s1 cisf_NFLOAT = cisf_W_2TO61_RSH,cisf_2TOM61,cisf_RSHF
|
|
nop.i 0
|
|
};;
|
|
|
|
// N = (int)cisf_int_Nfloat
|
|
{ .mfi
|
|
getf.sig cisf_GR_n = cisf_W_2TO61_RSH
|
|
nop.f 0
|
|
nop.i 0
|
|
};;
|
|
|
|
// Add 2^(k-1) (which is in cisf_r_sincos) to N
|
|
// cisf_r = -cisf_Nfloat * cisf_Pi_by_16_hi + x
|
|
// cisf_r = cisf_r -cisf_Nfloat * cisf_Pi_by_16_lo
|
|
{ .mfi
|
|
add cisf_GR_n_cos = 0x8, cisf_GR_n
|
|
fnma.s1 cisf_r = cisf_NFLOAT, cisf_Pi_by_16_hi, cisf_NORM_f8
|
|
nop.i 0
|
|
};;
|
|
|
|
//Get M (least k+1 bits of N)
|
|
{ .mmi
|
|
and cisf_GR_m_sin = 0x1f,cisf_GR_n
|
|
and cisf_GR_m_cos = 0x1f,cisf_GR_n_cos
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mmi
|
|
shladd cisf_AD_2_cos = cisf_GR_m_cos,4, cisf_AD_1
|
|
shladd cisf_AD_2_sin = cisf_GR_m_sin,4, cisf_AD_1
|
|
nop.i 0
|
|
};;
|
|
|
|
// den. input to set uflow
|
|
{ .mmf
|
|
ldfpd cisf_Sm_sin, cisf_Cm_sin = [cisf_AD_2_sin]
|
|
ldfpd cisf_Sm_cos, cisf_Cm_cos = [cisf_AD_2_cos]
|
|
fclass.m.unc p10,p0 = cisf_Arg,0x0b
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_rsq = cisf_r, cisf_r, f0 // get r^2
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s0 cisf_tmp = cisf_tmp,cisf_tmp // inexact flag
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mmf
|
|
nop.m 0
|
|
nop.m 0
|
|
fnma.s1 cisf_r_exact = cisf_NFLOAT, cisf_Pi_by_16_lo, cisf_r
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_P = cisf_rsq, cisf_P2, cisf_P1
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_Q = cisf_rsq, cisf_Q2, cisf_Q1
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s1 cisf_rcub = cisf_r_exact, cisf_rsq // get r^3
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s1 cisf_srsq_sin = cisf_Sm_sin,cisf_rsq
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fmpy.s1 cisf_srsq_cos = cisf_Sm_cos,cisf_rsq
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_P = cisf_rcub,cisf_P,cisf_r_exact
|
|
nop.i 0
|
|
};;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_Q_sin = cisf_srsq_sin,cisf_Q, cisf_Sm_sin
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s1 cisf_Q_cos = cisf_srsq_cos,cisf_Q, cisf_Sm_cos
|
|
nop.i 0
|
|
};;
|
|
|
|
// If den. arg, force underflow to be set
|
|
{ .mfi
|
|
nop.m 0
|
|
(p10) fmpy.s.s0 cisf_tmp = cisf_Arg,cisf_Arg
|
|
nop.i 0
|
|
};;
|
|
|
|
//Final sin
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s.s0 cisf_Sin_res = cisf_Cm_sin, cisf_P, cisf_Q_sin
|
|
nop.i 0
|
|
}
|
|
//Final cos
|
|
{ .mfb
|
|
nop.m 0
|
|
fma.s.s0 cisf_Cos_res = cisf_Cm_cos, cisf_P, cisf_Q_cos
|
|
(p14) br.cond.sptk _CISF_RETURN //com. exit for __libm_sincos and cis main path
|
|
};;
|
|
|
|
{ .mmb
|
|
stfs [cisf_pResSin] = cisf_Sin_res
|
|
stfs [cisf_pResCos] = cisf_Cos_res
|
|
br.ret.sptk b0 // common exit for sincos main path
|
|
};;
|
|
|
|
_CISF_SPECIAL_ARGS:
|
|
// sinf(+/-0) = +/-0
|
|
// sinf(Inf) = NaN
|
|
// sinf(NaN) = NaN
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s.s0 cisf_Sin_res = cisf_Arg, f0, f0 // sinf(+/-0,NaN,Inf)
|
|
nop.i 999
|
|
};;
|
|
|
|
// cosf(+/-0) = 1.0
|
|
// cosf(Inf) = NaN
|
|
// cosf(NaN) = NaN
|
|
{ .mfb
|
|
nop.m 999
|
|
fma.s.s0 cisf_Cos_res = cisf_Arg, f0, f1 // cosf(+/-0,NaN,Inf)
|
|
(p14) br.cond.sptk _CISF_RETURN //spec exit for __libm_sincos and cis main path
|
|
};;
|
|
|
|
{ .mmb
|
|
stfs [cisf_pResSin] = cisf_Sin_res
|
|
stfs [cisf_pResCos] = cisf_Cos_res
|
|
br.ret.sptk b0 // special exit for sincos main path
|
|
};;
|
|
|
|
// exit for sincos
|
|
// NOTE! r8 and r9 used only because of compiler issue
|
|
// connected with float point complex function arguments pass
|
|
// After fix of this issue this operations can be deleted
|
|
_CISF_RETURN:
|
|
{ .mmb
|
|
getf.s r8 = cisf_Cos_res
|
|
getf.s r9 = cisf_Sin_res
|
|
br.ret.sptk b0 // exit for sincos
|
|
};;
|
|
GLOBAL_LIBM_END(__libm_sincosf)
|
|
|
|
//// |x| > 2^24 path ///////
|
|
.proc _CISF_LARGE_ARGS
|
|
_CISF_LARGE_ARGS:
|
|
.prologue
|
|
{ .mfi
|
|
nop.m 0
|
|
nop.f 0
|
|
.save ar.pfs, GR_SAVE_PFS
|
|
mov GR_SAVE_PFS = ar.pfs
|
|
};;
|
|
|
|
{ .mfi
|
|
mov GR_SAVE_GP = gp
|
|
nop.f 0
|
|
.save b0, GR_SAVE_B0
|
|
mov GR_SAVE_B0 = b0
|
|
};;
|
|
|
|
.body
|
|
// Call of huge arguments sincos
|
|
{ .mib
|
|
nop.m 0
|
|
mov GR_SAVE_PR = pr
|
|
br.call.sptk b0 = __libm_sincos_large
|
|
};;
|
|
|
|
{ .mfi
|
|
mov gp = GR_SAVE_GP
|
|
nop.f 0
|
|
mov pr = GR_SAVE_PR, 0x1fffe
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
nop.f 0
|
|
mov b0 = GR_SAVE_B0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
fma.s.s0 cisf_Cos_res = cisf_Cos_res, f1, f0
|
|
mov ar.pfs = GR_SAVE_PFS
|
|
}
|
|
// exit for |x| > 2^24 path (__libm_sincos and cis)
|
|
{ .mfb
|
|
nop.m 0
|
|
fma.s.s0 cisf_Sin_res = cisf_Sin_res, f1, f0
|
|
(p14) br.cond.sptk _CISF_RETURN
|
|
};;
|
|
|
|
{ .mmb
|
|
stfs [cisf_pResSin] = cisf_Sin_res
|
|
stfs [cisf_pResCos] = cisf_Cos_res
|
|
br.ret.sptk b0 // exit for sincos |x| > 2^24 path
|
|
};;
|
|
|
|
.endp _CISF_LARGE_ARGS
|
|
|
|
.type __libm_sincos_large#,@function
|
|
.global __libm_sincos_large#
|
|
|