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Diffstat (limited to 'sysdeps/ia64/fpu/e_cosh.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_cosh.S | 1142 |
1 files changed, 1142 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_cosh.S b/sysdeps/ia64/fpu/e_cosh.S new file mode 100644 index 0000000000..1ac0e1c29d --- /dev/null +++ b/sysdeps/ia64/fpu/e_cosh.S @@ -0,0 +1,1142 @@ +.file "cosh.s" + +// Copyright (c) 2000, 2001, Intel Corporation +// All rights reserved. +// +// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, +// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation. +// +// WARRANTY DISCLAIMER +// +// 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://developer.intel.com/opensource. +// +// History +//============================================================== +// 2/02/00 Initial version +// 4/04/00 Unwind support added +// 8/15/00 Bundle added after call to __libm_error_support to properly +// set [the previously overwritten] GR_Parameter_RESULT. +// +// API +//============================================================== +// double = cosh(double) +// input floating point f8 +// output floating point f8 + + +// Overview of operation +//============================================================== +// There are four paths + +// 1. |x| < 0.25 COSH_BY_POLY +// 2. |x| < 32 COSH_BY_TBL +// 3. |x| < 2^14 COSH_BY_EXP +// 4. |x_ >= 2^14 COSH_HUGE + +// For paths 1, and 2 SAFE is always 1. +// For path 4, Safe is always 0. +// SAFE = 1 means we cannot overflow. + +#include "libm_support.h" + +// Assembly macros +//============================================================== +cosh_FR_X = f44 +cosh_FR_SGNX = f40 + +cosh_FR_Inv_log2by64 = f9 +cosh_FR_log2by64_lo = f11 +cosh_FR_log2by64_hi = f10 + +cosh_FR_A1 = f9 +cosh_FR_A2 = f10 +cosh_FR_A3 = f11 + +cosh_FR_Rcub = f12 +cosh_FR_M_temp = f13 +cosh_FR_R_temp = f13 +cosh_FR_Rsq = f13 +cosh_FR_R = f14 + +cosh_FR_M = f38 + +cosh_FR_B1 = f15 +cosh_FR_B2 = f32 +cosh_FR_B3 = f33 + +cosh_FR_peven_temp1 = f34 +cosh_FR_peven_temp2 = f35 +cosh_FR_peven = f36 + +cosh_FR_podd_temp1 = f34 +cosh_FR_podd_temp2 = f35 +cosh_FR_podd = f37 + +cosh_FR_J_temp = f9 +cosh_FR_J = f10 + +cosh_FR_Mmj = f39 + +cosh_FR_N_temp1 = f11 +cosh_FR_N_temp2 = f12 +cosh_FR_N = f13 + +cosh_FR_spos = f14 +cosh_FR_sneg = f15 + +cosh_FR_Tjhi = f32 +cosh_FR_Tjlo = f33 +cosh_FR_Tmjhi = f34 +cosh_FR_Tmjlo = f35 + +GR_mJ = r35 +GR_J = r36 + +AD_mJ = r38 +AD_J = r39 + +cosh_FR_C_hi = f9 +cosh_FR_C_hi_temp = f10 +cosh_FR_C_lo_temp1 = f11 +cosh_FR_C_lo_temp2 = f12 +cosh_FR_C_lo_temp3 = f13 + +cosh_FR_C_lo = f38 +cosh_FR_S_hi = f39 + +cosh_FR_S_hi_temp1 = f10 +cosh_FR_Y_hi = f11 +cosh_FR_Y_lo_temp = f12 +cosh_FR_Y_lo = f13 +cosh_FR_COSH = f9 + +cosh_FR_X2 = f9 +cosh_FR_X4 = f10 + +cosh_FR_P1 = f14 +cosh_FR_P2 = f15 +cosh_FR_P3 = f32 +cosh_FR_P4 = f33 +cosh_FR_P5 = f34 +cosh_FR_P6 = f35 + +cosh_FR_TINY_THRESH = f9 + +cosh_FR_COSH_temp = f10 +cosh_FR_SCALE = f11 + +cosh_FR_hi_lo = f10 + +cosh_FR_poly_podd_temp1 = f11 +cosh_FR_poly_podd_temp2 = f13 +cosh_FR_poly_peven_temp1 = f11 +cosh_FR_poly_peven_temp2 = f13 + +GR_SAVE_PFS = r41 +GR_SAVE_B0 = r42 +GR_SAVE_GP = r43 + +GR_Parameter_X = r44 +GR_Parameter_Y = r45 +GR_Parameter_RESULT = r46 + + +// Data tables +//============================================================== + +#ifdef _LIBC +.rodata +#else +.data +#endif + +.align 16 +double_cosh_arg_reduction: +ASM_TYPE_DIRECTIVE(double_cosh_arg_reduction,@object) + data8 0xB8AA3B295C17F0BC, 0x00004005 + data8 0xB17217F7D1000000, 0x00003FF8 + data8 0xCF79ABC9E3B39804, 0x00003FD0 +ASM_SIZE_DIRECTIVE(double_cosh_arg_reduction) + +double_cosh_p_table: +ASM_TYPE_DIRECTIVE(double_cosh_p_table,@object) + data8 0x8000000000000000, 0x00003FFE + data8 0xAAAAAAAAAAAAAB80, 0x00003FFA + data8 0xB60B60B60B4FE884, 0x00003FF5 + data8 0xD00D00D1021D7370, 0x00003FEF + data8 0x93F27740C0C2F1CC, 0x00003FE9 + data8 0x8FA02AC65BCBD5BC, 0x00003FE2 +ASM_SIZE_DIRECTIVE(double_cosh_p_table) + +double_cosh_ab_table: +ASM_TYPE_DIRECTIVE(double_cosh_ab_table,@object) + data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC + data8 0x88888888884ECDD5, 0x00003FF8 + data8 0xD00D0C6DCC26A86B, 0x00003FF2 + data8 0x8000000000000002, 0x00003FFE + data8 0xAAAAAAAAAA402C77, 0x00003FFA + data8 0xB60B6CC96BDB144D, 0x00003FF5 +ASM_SIZE_DIRECTIVE(double_cosh_ab_table) + +double_cosh_j_table: +ASM_TYPE_DIRECTIVE(double_cosh_j_table,@object) + data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000 + data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000 + data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000 + data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000 + data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000 + data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000 + data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000 + data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000 + data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000 + data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000 + data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000 + data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000 + data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000 + data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000 + data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000 + data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000 + data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000 + data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000 + data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000 + data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000 + data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000 + data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000 + data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000 + data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000 + data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000 + data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000 + data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000 + data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000 + data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000 + data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000 + data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000 + data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000 + data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000 + data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000 + data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000 + data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000 + data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000 + data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000 + data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000 + data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000 + data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000 + data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000 + data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000 + data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000 + data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000 + data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000 + data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000 + data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000 + data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000 + data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000 + data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000 + data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000 + data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000 + data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000 + data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000 + data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000 + data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000 + data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000 + data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000 + data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000 + data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000 + data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000 + data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000 + data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000 + data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000 +ASM_SIZE_DIRECTIVE(double_cosh_j_table) + +.align 32 +.global cosh# + +.section .text +.proc cosh# +.align 32 + +cosh: + +#ifdef _LIBC +.global __ieee754_cosh# +.proc __ieee754_cosh# +__ieee754_cosh: +#endif + +// X NAN? + +{ .mfi + alloc r32 = ar.pfs,0,12,4,0 +(p0) fclass.m.unc p6,p7 = f8, 0xc3 //@snan | @qnan + nop.i 999 +} +;; + + +{ .mfb + nop.m 999 +(p6) fma.d.s0 f8 = f8,f1,f8 +(p6) br.ret.spnt b0 ;; +} + + +// X infinity +{ .mfi + nop.m 999 +(p0) fclass.m.unc p6,p0 = f8, 0x23 //@inf + nop.i 999 ;; +} + +{ .mfb + nop.m 999 +(p6) fmerge.s f8 = f0,f8 +(p6) br.ret.spnt b0 ;; +} + + + +// Put 0.25 in f9; p6 true if x < 0.25 +{ .mlx + nop.m 999 +(p0) movl r32 = 0x000000000000fffd ;; +} + +{ .mfi +(p0) setf.exp f9 = r32 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fmerge.s cosh_FR_X = f0,f8 + nop.i 999 +} + +{ .mfi + nop.m 999 +(p0) fmerge.s cosh_FR_SGNX = f8,f1 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fcmp.lt.unc p0,p7 = cosh_FR_X,f9 + nop.i 999 ;; +} + +{ .mib + nop.m 999 + nop.i 999 +(p7) br.cond.sptk L(COSH_BY_TBL) +} +;; + + +// COSH_BY_POLY: +// POLY cannot overflow so there is no need to call __libm_error_support +// Get the values of P_x from the table + +{ .mmi + nop.m 999 +(p0) addl r34 = @ltoff(double_cosh_p_table), gp + nop.i 999 +} +;; + +{ .mmi + ld8 r34 = [r34] + nop.m 999 + nop.i 999 +} +;; + + +// Calculate cosh_FR_X2 = ax*ax and cosh_FR_X4 = ax*ax*ax*ax +{ .mmf + nop.m 999 +(p0) ldfe cosh_FR_P1 = [r34],16 +(p0) fma.s1 cosh_FR_X2 = cosh_FR_X, cosh_FR_X, f0 ;; +} + +{ .mmi +(p0) ldfe cosh_FR_P2 = [r34],16 ;; +(p0) ldfe cosh_FR_P3 = [r34],16 + nop.i 999 ;; +} + +{ .mmi +(p0) ldfe cosh_FR_P4 = [r34],16 ;; +(p0) ldfe cosh_FR_P5 = [r34],16 + nop.i 999 ;; +} + +{ .mfi +(p0) ldfe cosh_FR_P6 = [r34],16 +(p0) fma.s1 cosh_FR_X4 = cosh_FR_X2, cosh_FR_X2, f0 + nop.i 999 ;; +} + +// Calculate cosh_FR_podd = x4 *(x4 * P_5 + P_3) + P_1 +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_poly_podd_temp1 = cosh_FR_X4, cosh_FR_P5, cosh_FR_P3 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_podd = cosh_FR_X4, cosh_FR_poly_podd_temp1, cosh_FR_P1 + nop.i 999 +} + +// Calculate cosh_FR_peven = p_even = x4 *(x4 * (x4 * P_6 + P_4) + P_2) +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_poly_peven_temp1 = cosh_FR_X4, cosh_FR_P6, cosh_FR_P4 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_poly_peven_temp2 = cosh_FR_X4, cosh_FR_poly_peven_temp1, cosh_FR_P2 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_peven = cosh_FR_X4, cosh_FR_poly_peven_temp2, f0 + nop.i 999 ;; +} + +// Y_lo = x2*p_odd + p_even +// Calculate f8 = Y_hi + Y_lo +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Y_lo = cosh_FR_X2, cosh_FR_podd, cosh_FR_peven + nop.i 999 ;; +} + +{ .mfb + nop.m 999 +(p0) fma.d.s0 f8 = f1, f1, cosh_FR_Y_lo +(p0) br.ret.sptk b0 ;; +} + + +L(COSH_BY_TBL): + +// Now that we are at TBL; so far all we know is that |x| >= 0.25. +// The first two steps are the same for TBL and EXP, but if we are HUGE +// Double +// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true) +// Single +// Go to HUGE if |x| >= 2^7, 10006 (register-biased) is e = 7 (true) +// we want to leave now. Go to HUGE if |x| >= 2^14 +// 1000d (register-biased) is e = 14 (true) + +{ .mlx + nop.m 999 +(p0) movl r32 = 0x0000000000010009 ;; +} + +{ .mfi +(p0) setf.exp f9 = r32 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fcmp.ge.unc p6,p7 = cosh_FR_X,f9 + nop.i 999 ;; +} + +{ .mib + nop.m 999 + nop.i 999 +(p6) br.cond.spnt L(COSH_HUGE) ;; +} + +// r32 = 1 +// r34 = N-1 +// r35 = N +// r36 = j +// r37 = N+1 + +// TBL can never overflow +// cosh(x) = cosh(B+R) +// = cosh(B) cosh(R) + sinh(B) sinh(R) +// cosh(R) can be approximated by 1 + p_even +// sinh(R) can be approximated by p_odd + +// ****************************************************** +// STEP 1 (TBL and EXP) +// ****************************************************** +// Get the following constants. +// f9 = Inv_log2by64 +// f10 = log2by64_hi +// f11 = log2by64_lo + +{ .mmi +(p0) adds r32 = 0x1,r0 +(p0) addl r34 = @ltoff(double_cosh_arg_reduction), gp + nop.i 999 +} +;; + +// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and +// put them in an exponent. +// cosh_FR_spos = 2^(N-1) and cosh_FR_sneg = 2^(-N-1) +// r39 = 0xffff + (N-1) = 0xffff +N -1 +// r40 = 0xffff - (N +1) = 0xffff -N -1 + +{ .mlx + ld8 r34 = [r34] +(p0) movl r38 = 0x000000000000fffe ;; +} + +{ .mmi +(p0) ldfe cosh_FR_Inv_log2by64 = [r34],16 ;; +(p0) ldfe cosh_FR_log2by64_hi = [r34],16 + nop.i 999 ;; +} + +{ .mbb +(p0) ldfe cosh_FR_log2by64_lo = [r34],16 + nop.b 999 + nop.b 999 ;; +} + +// Get the A coefficients +// f9 = A_1 +// f10 = A_2 +// f11 = A_3 + +{ .mmi + nop.m 999 +(p0) addl r34 = @ltoff(double_cosh_ab_table), gp + nop.i 999 +} +;; + +{ .mmi + ld8 r34 = [r34] + nop.m 999 + nop.i 999 +} +;; + + +// Calculate M and keep it as integer and floating point. +// M = round-to-integer(x*Inv_log2by64) +// cosh_FR_M = M = truncate(ax/(log2/64)) +// Put the significand of M in r35 +// and the floating point representation of M in cosh_FR_M + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_M = cosh_FR_X, cosh_FR_Inv_log2by64, f0 + nop.i 999 +} + +{ .mfi +(p0) ldfe cosh_FR_A1 = [r34],16 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fcvt.fx.s1 cosh_FR_M_temp = cosh_FR_M + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fnorm.s1 cosh_FR_M = cosh_FR_M_temp + nop.i 999 ;; +} + +{ .mfi +(p0) getf.sig r35 = cosh_FR_M_temp + nop.f 999 + nop.i 999 ;; +} + +// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It +// has a range of -32 thru 31. +// r35 = M +// r36 = j +{ .mii + nop.m 999 + nop.i 999 ;; +(p0) and r36 = 0x3f, r35 ;; +} + +// Calculate R +// f13 = f44 - f12*f10 = x - M*log2by64_hi +// f14 = f13 - f8*f11 = R = (x - M*log2by64_hi) - M*log2by64_lo + +{ .mfi + nop.m 999 +(p0) fnma.s1 cosh_FR_R_temp = cosh_FR_M, cosh_FR_log2by64_hi, cosh_FR_X + nop.i 999 +} + +{ .mfi +(p0) ldfe cosh_FR_A2 = [r34],16 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fnma.s1 cosh_FR_R = cosh_FR_M, cosh_FR_log2by64_lo, cosh_FR_R_temp + nop.i 999 +} + +// Get the B coefficients +// f15 = B_1 +// f32 = B_2 +// f33 = B_3 + +{ .mmi +(p0) ldfe cosh_FR_A3 = [r34],16 ;; +(p0) ldfe cosh_FR_B1 = [r34],16 + nop.i 999 ;; +} + +{ .mmi +(p0) ldfe cosh_FR_B2 = [r34],16 ;; +(p0) ldfe cosh_FR_B3 = [r34],16 + nop.i 999 ;; +} + +{ .mii + nop.m 999 +(p0) shl r34 = r36, 0x2 ;; +(p0) sxt1 r37 = r34 ;; +} + +// ****************************************************** +// STEP 2 (TBL and EXP) +// ****************************************************** +// Calculate Rsquared and Rcubed in preparation for p_even and p_odd +// f12 = R*R*R +// f13 = R*R +// f14 = R <== from above + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Rsq = cosh_FR_R, cosh_FR_R, f0 +(p0) shr r36 = r37, 0x2 ;; +} + +// r34 = M-j = r35 - r36 +// r35 = N = (M-j)/64 + +{ .mii +(p0) sub r34 = r35, r36 + nop.i 999 ;; +(p0) shr r35 = r34, 0x6 ;; +} + +{ .mii +(p0) sub r40 = r38, r35 +(p0) adds r37 = 0x1, r35 +(p0) add r39 = r38, r35 ;; +} + +// Get the address of the J table, add the offset, +// addresses are sinh_AD_mJ and sinh_AD_J, get the T value +// f32 = T(j)_hi +// f33 = T(j)_lo +// f34 = T(-j)_hi +// f35 = T(-j)_lo + +{ .mmi +(p0) sub r34 = r35, r32 +(p0) addl r37 = @ltoff(double_cosh_j_table), gp + nop.i 999 +} +;; + +{ .mfi + ld8 r37 = [r37] +(p0) fma.s1 cosh_FR_Rcub = cosh_FR_Rsq, cosh_FR_R, f0 + nop.i 999 +} + +// ****************************************************** +// STEP 3 Now decide if we need to branch to EXP +// ****************************************************** +// Put 32 in f9; p6 true if x < 32 + +{ .mlx + nop.m 999 +(p0) movl r32 = 0x0000000000010004 ;; +} + +// Calculate p_even +// f34 = B_2 + Rsq *B_3 +// f35 = B_1 + Rsq*f34 = B_1 + Rsq * (B_2 + Rsq *B_3) +// f36 = peven = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3)) + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_peven_temp1 = cosh_FR_Rsq, cosh_FR_B3, cosh_FR_B2 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_peven_temp2 = cosh_FR_Rsq, cosh_FR_peven_temp1, cosh_FR_B1 + nop.i 999 +} + +// Calculate p_odd +// f34 = A_2 + Rsq *A_3 +// f35 = A_1 + Rsq * (A_2 + Rsq *A_3) +// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3)) + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_podd_temp1 = cosh_FR_Rsq, cosh_FR_A3, cosh_FR_A2 + nop.i 999 ;; +} + +{ .mfi +(p0) setf.exp cosh_FR_N_temp1 = r39 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_peven = cosh_FR_Rsq, cosh_FR_peven_temp2, f0 + nop.i 999 +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_podd_temp2 = cosh_FR_Rsq, cosh_FR_podd_temp1, cosh_FR_A1 + nop.i 999 ;; +} + +{ .mfi +(p0) setf.exp f9 = r32 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_podd = cosh_FR_podd_temp2, cosh_FR_Rcub, cosh_FR_R + nop.i 999 +} + +// sinh_GR_mj contains the table offset for -j +// sinh_GR_j contains the table offset for +j +// p6 is true when j <= 0 + +{ .mlx +(p0) setf.exp cosh_FR_N_temp2 = r40 +(p0) movl r40 = 0x0000000000000020 ;; +} + +{ .mfi +(p0) sub GR_mJ = r40, r36 +(p0) fmerge.se cosh_FR_spos = cosh_FR_N_temp1, f1 +(p0) adds GR_J = 0x20, r36 ;; +} + +{ .mii + nop.m 999 +(p0) shl GR_mJ = GR_mJ, 5 ;; +(p0) add AD_mJ = r37, GR_mJ ;; +} + +{ .mmi + nop.m 999 +(p0) ldfe cosh_FR_Tmjhi = [AD_mJ],16 +(p0) shl GR_J = GR_J, 5 ;; +} + +{ .mfi +(p0) ldfs cosh_FR_Tmjlo = [AD_mJ],16 +(p0) fcmp.lt.unc.s1 p6,p7 = cosh_FR_X,f9 +(p0) add AD_J = r37, GR_J ;; +} + +{ .mmi +(p0) ldfe cosh_FR_Tjhi = [AD_J],16 ;; +(p0) ldfs cosh_FR_Tjlo = [AD_J],16 + nop.i 999 ;; +} + +{ .mfb + nop.m 999 +(p0) fmerge.se cosh_FR_sneg = cosh_FR_N_temp2, f1 +(p7) br.cond.spnt L(COSH_BY_EXP) ;; +} + +// ****************************************************** +// If NOT branch to EXP +// ****************************************************** +// Calculate C_hi +// ****************************************************** +// cosh_FR_C_hi_temp = cosh_FR_sneg * cosh_FR_Tmjhi +// cosh_FR_C_hi = cosh_FR_spos * cosh_FR_Tjhi + (cosh_FR_sneg * cosh_FR_Tmjhi) + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_hi_temp = cosh_FR_sneg, cosh_FR_Tmjhi, f0 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_hi = cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_C_hi_temp + nop.i 999 +} + +// ****************************************************** +// Calculate S_hi +// ****************************************************** +// cosh_FR_S_hi_temp1 = cosh_FR_sneg * cosh_FR_Tmjhi +// cosh_FR_S_hi = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi_temp1 + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_S_hi_temp1 = cosh_FR_sneg, cosh_FR_Tmjhi, f0 + nop.i 999 ;; +} + +// ****************************************************** +// Calculate C_lo +// ****************************************************** +// cosh_FR_C_lo_temp1 = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi +// cosh_FR_C_lo_temp2 = cosh_FR_sneg * cosh_FR_Tmjlo + (cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi) +// cosh_FR_C_lo_temp1 = cosh_FR_sneg * cosh_FR_Tmjlo +// cosh_FR_C_lo_temp3 = cosh_FR_spos * cosh_FR_Tjlo + (cosh_FR_sneg * cosh_FR_Tmjlo) +// cosh_FR_C_lo = cosh_FR_C_lo_temp3 + cosh_FR_C_lo_temp2 + +{ .mfi + nop.m 999 +(p0) fms.s1 cosh_FR_C_lo_temp1 = cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_C_hi + nop.i 999 +} + +{ .mfi + nop.m 999 +(p0) fms.s1 cosh_FR_S_hi = cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_S_hi_temp1 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_lo_temp2 = cosh_FR_sneg, cosh_FR_Tmjhi, cosh_FR_C_lo_temp1 + nop.i 999 +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_lo_temp1 = cosh_FR_sneg, cosh_FR_Tmjlo, f0 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_lo_temp3 = cosh_FR_spos, cosh_FR_Tjlo, cosh_FR_C_lo_temp1 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_C_lo = cosh_FR_C_lo_temp3, f1, cosh_FR_C_lo_temp2 + nop.i 999 ;; +} + +// ****************************************************** +// cosh_FR_Y_lo_temp = cosh_FR_C_hi * cosh_FR_peven + cosh_FR_C_lo +// cosh_FR_Y_lo = cosh_FR_S_hi * cosh_FR_podd + cosh_FR_Y_lo_temp +// cosh_FR_COSH = Y_hi + Y_lo + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Y_lo_temp = cosh_FR_C_hi, cosh_FR_peven, cosh_FR_C_lo + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Y_lo = cosh_FR_S_hi, cosh_FR_podd, cosh_FR_Y_lo_temp + nop.i 999 ;; +} + +{ .mfb + nop.m 999 +(p0) fma.d.s0 f8 = cosh_FR_C_hi, f1, cosh_FR_Y_lo +(p0) br.ret.sptk b0 ;; +} + +L(COSH_BY_EXP): + +// When p7 is true, we know that an overflow is not going to happen +// When p7 is false, we must check for possible overflow +// p7 is the over_SAFE flag +// f44 = Scale * (Y_hi + Y_lo) +// = cosh_FR_spos * (cosh_FR_Tjhi + cosh_FR_Y_lo) + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Y_lo_temp = cosh_FR_peven, f1, cosh_FR_podd + nop.i 999 +} + +// Now we are in EXP. This is the only path where an overflow is possible +// but not for certain. So this is the only path where over_SAFE has any use. +// r34 still has N-1 +// There is a danger of double-extended overflow if N-1 > 16382 = 0x3ffe +// There is a danger of double overflow if N-1 > 0x3fe = 1022 + +{ .mlx + nop.m 999 +(p0) movl r32 = 0x00000000000003fe ;; +} + +{ .mfi +(p0) cmp.gt.unc p0,p7 = r34, r32 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_Y_lo = cosh_FR_Tjhi, cosh_FR_Y_lo_temp, cosh_FR_Tjlo + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_COSH_temp = cosh_FR_Y_lo, f1, cosh_FR_Tjhi + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.d.s0 f44 = cosh_FR_spos, cosh_FR_COSH_temp, f0 + nop.i 999 ;; +} + +// If over_SAFE is set, return +{ .mfb + nop.m 999 +(p7) fmerge.s f8 = f44,f44 +(p7) br.ret.sptk b0 ;; +} + +// Else see if we overflowed +// S0 user supplied status +// S2 user supplied status + WRE + TD (Overflows) +// If WRE is set then an overflow will not occur in EXP. +// The input value that would cause a register (WRE) value to overflow is about 2^15 +// and this input would go into the HUGE path. +// Answer with WRE is in f43. + +{ .mfi + nop.m 999 +(p0) fsetc.s2 0x7F,0x42 + nop.i 999;; +} + +{ .mfi + nop.m 999 +(p0) fma.d.s2 f43 = cosh_FR_spos, cosh_FR_COSH_temp, f0 + nop.i 999 ;; +} + +// 103FF => 103FF -FFFF = 400(true) +// 400 + 3FF = 7FF, which is 1 more that the exponent of the largest +// double (7FE). So 0 103FF 8000000000000000 is one ulp more than +// largest double in register bias +// Now set p8 if the answer with WRE is greater than or equal this value +// Also set p9 if the answer with WRE is less than or equal to negative this value + +{ .mlx + nop.m 999 +(p0) movl r32 = 0x00000000000103ff ;; +} + +{ .mmf + nop.m 999 +(p0) setf.exp f41 = r32 +(p0) fsetc.s2 0x7F,0x40 ;; +} + +{ .mfi + nop.m 999 +(p0) fcmp.ge.unc.s1 p8, p0 = f43, f41 + nop.i 999 +} + +{ .mfi + nop.m 999 +(p0) fmerge.ns f42 = f41, f41 + nop.i 999 ;; +} + +// The error tag for overflow is 64 +{ .mii + nop.m 999 + nop.i 999 ;; +(p8) mov r47 = 64 ;; +} + +{ .mfb + nop.m 999 +(p0) fcmp.le.unc.s1 p9, p0 = f43, f42 +(p8) br.cond.spnt __libm_error_region ;; +} + +{ .mii + nop.m 999 + nop.i 999 ;; +(p9) mov r47 = 64 +} + +{ .mib + nop.m 999 + nop.i 999 +(p9) br.cond.spnt __libm_error_region ;; +} + +{ .mfb + nop.m 999 +(p0) fmerge.s f8 = f44,f44 +(p0) br.ret.sptk b0 ;; +} + + +// for COSH_HUGE, put 24000 in exponent; take sign from input; add 1 +// SAFE: SAFE is always 0 for HUGE + +L(COSH_HUGE): + +{ .mlx + nop.m 999 +(p0) movl r32 = 0x0000000000015dbf ;; +} + +{ .mfi +(p0) setf.exp f9 = r32 + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.s1 cosh_FR_hi_lo = f1, f9, f1 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 +(p0) fma.d.s0 f44 = f9, cosh_FR_hi_lo, f0 +(p0) mov r47 = 64 +} +;; + +.endp cosh# +ASM_SIZE_DIRECTIVE(cosh#) + +// Stack operations when calling error support. +// (1) (2) (3) (call) (4) +// sp -> + psp -> + psp -> + sp -> + +// | | | | +// | | <- GR_Y R3 ->| <- GR_RESULT | -> f8 +// | | | | +// | <-GR_Y Y2->| Y2 ->| <- GR_Y | +// | | | | +// | | <- GR_X X1 ->| | +// | | | | +// sp-64 -> + sp -> + sp -> + + +// save ar.pfs save b0 restore gp +// save gp restore ar.pfs + +.proc __libm_error_region +__libm_error_region: +.prologue +// (1) +{ .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 +};; + + +// (2) +{ .mmi + stfd [GR_Parameter_Y] = f0,16 // 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 +// (3) +{ .mib + stfd [GR_Parameter_X] = f8 // STORE Parameter 1 on stack + add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address + nop.b 0 +} +{ .mib + stfd [GR_Parameter_Y] = f44 // 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 + nop.m 0 + nop.m 0 + add GR_Parameter_RESULT = 48,sp +};; + +// (4) +{ .mmi + ldfd 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 +};; + +.endp __libm_error_region +ASM_SIZE_DIRECTIVE(__libm_error_region) + +.type __libm_error_support#,@function +.global __libm_error_support# |