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Diffstat (limited to 'sysdeps/ia64/fpu/e_exp.S')
| -rw-r--r-- | sysdeps/ia64/fpu/e_exp.S | 815 |
1 files changed, 815 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_exp.S b/sysdeps/ia64/fpu/e_exp.S new file mode 100644 index 0000000000..06657b9579 --- /dev/null +++ b/sysdeps/ia64/fpu/e_exp.S @@ -0,0 +1,815 @@ +.file "exp.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 +// 3/07/00 exp(inf) = inf but now does NOT call error support +// exp(-inf) = 0 but now does NOT call error support +// 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. +// 11/30/00 Reworked to shorten main path, widen main path to include all +// args in normal range, and add quick exit for 0, nan, inf. +// 12/05/00 Loaded constants earlier with setf to save 2 cycles. + +// API +//============================================================== +// double exp(double) + +// Overview of operation +//============================================================== +// Take the input x. w is "how many log2/128 in x?" +// w = x * 128/log2 +// n = int(w) +// x = n log2/128 + r + delta + +// n = 128M + index_1 + 2^4 index_2 +// x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta + +// exp(x) = 2^M 2^(index_1/128) 2^(index_2/8) exp(r) exp(delta) +// Construct 2^M +// Get 2^(index_1/128) from table_1; +// Get 2^(index_2/8) from table_2; +// Calculate exp(r) by series +// r = x - n (log2/128)_high +// delta = - n (log2/128)_low +// Calculate exp(delta) as 1 + delta + + +// Special values +//============================================================== +// exp(+0) = 1.0 +// exp(-0) = 1.0 + +// exp(+qnan) = +qnan +// exp(-qnan) = -qnan +// exp(+snan) = +qnan +// exp(-snan) = -qnan + +// exp(-inf) = +0 +// exp(+inf) = +inf + +// Overfow and Underfow +//======================= +// exp(-x) = smallest double normal when +// x = -708.396 = c086232bdd7abcd2 + +// exp(x) = largest double normal when +// x = 709.7827 = 40862e42fefa39ef + + + +// Registers used +//============================================================== +// Floating Point registers used: +// f8, input +// f9 -> f15, f32 -> f60 + +// General registers used: +// r32 -> r60 + +// Predicate registers used: +// p6 -> p15 + +#include "libm_support.h" + +// Assembly macros +//============================================================== + +exp_GR_rshf = r33 +EXP_AD_TB1 = r34 +EXP_AD_TB2 = r35 +EXP_AD_P = r36 + +exp_GR_N = r37 +exp_GR_index_1 = r38 +exp_GR_index_2_16 = r39 + +exp_GR_biased_M = r40 +exp_GR_index_1_16 = r41 +EXP_AD_T1 = r42 +EXP_AD_T2 = r43 +exp_GR_sig_inv_ln2 = r44 + +exp_GR_17ones = r45 +exp_GR_one = r46 +exp_TB1_size = r47 +exp_TB2_size = r48 +exp_GR_rshf_2to56 = r49 + +exp_GR_gt_ln = r50 +exp_GR_exp_2tom56 = r51 + +exp_GR_17ones_m1 = r52 + +GR_SAVE_B0 = r53 +GR_SAVE_PFS = r54 +GR_SAVE_GP = r55 +GR_SAVE_SP = r56 + +GR_Parameter_X = r57 +GR_Parameter_Y = r58 +GR_Parameter_RESULT = r59 +GR_Parameter_TAG = r60 + + +FR_X = f10 +FR_Y = f1 +FR_RESULT = f8 + +EXP_RSHF_2TO56 = f6 +EXP_INV_LN2_2TO63 = f7 +EXP_W_2TO56_RSH = f9 +EXP_2TOM56 = f11 +exp_P4 = f12 +exp_P3 = f13 +exp_P2 = f14 +exp_P1 = f15 + +exp_ln2_by_128_hi = f33 +exp_ln2_by_128_lo = f34 + +EXP_RSHF = f35 +EXP_Nfloat = f36 +exp_W = f37 +exp_r = f38 +exp_f = f39 + +exp_rsq = f40 +exp_rcube = f41 + +EXP_2M = f42 +exp_S1 = f43 +exp_T1 = f44 + +EXP_MIN_DBL_OFLOW_ARG = f45 +EXP_MAX_DBL_ZERO_ARG = f46 +EXP_MAX_DBL_NORM_ARG = f47 +EXP_MAX_DBL_UFLOW_ARG = f48 +EXP_MIN_DBL_NORM_ARG = f49 +exp_rP4pP3 = f50 +exp_P_lo = f51 +exp_P_hi = f52 +exp_P = f53 +exp_S = f54 + +EXP_NORM_f8 = f56 + +exp_wre_urm_f8 = f57 +exp_ftz_urm_f8 = f57 + +exp_gt_pln = f58 + +exp_S2 = f59 +exp_T2 = f60 + + +// Data tables +//============================================================== + +#ifdef _LIBC +.rodata +#else +.data +#endif + +.align 16 + +// ************* DO NOT CHANGE ORDER OF THESE TABLES ******************** + +// double-extended 1/ln(2) +// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88 +// 3fff b8aa 3b29 5c17 f0bc +// For speed the significand will be loaded directly with a movl and setf.sig +// and the exponent will be bias+63 instead of bias+0. Thus subsequent +// computations need to scale appropriately. +// The constant 128/ln(2) is needed for the computation of w. This is also +// obtained by scaling the computations. +// +// Two shifting constants are loaded directly with movl and setf.d. +// 1. EXP_RSHF_2TO56 = 1.1000..00 * 2^(63-7) +// This constant is added to x*1/ln2 to shift the integer part of +// x*128/ln2 into the rightmost bits of the significand. +// The result of this fma is EXP_W_2TO56_RSH. +// 2. EXP_RSHF = 1.1000..00 * 2^(63) +// This constant is subtracted from EXP_W_2TO56_RSH * 2^(-56) to give +// the integer part of w, n, as a floating-point number. +// The result of this fms is EXP_Nfloat. + + +exp_table_1: +ASM_TYPE_DIRECTIVE(exp_table_1,@object) +data8 0x40862e42fefa39f0 // smallest dbl overflow arg +data8 0xc0874c0000000000 // approx largest arg for zero result +data8 0x40862e42fefa39ef // largest dbl arg to give normal dbl result +data8 0xc086232bdd7abcd3 // largest dbl underflow arg +data8 0xc086232bdd7abcd2 // smallest dbl arg to give normal dbl result +data8 0x0 // pad +data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi +data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo + +// Table 1 is 2^(index_1/128) where +// index_1 goes from 0 to 15 + +data8 0x8000000000000000 , 0x00003FFF +data8 0x80B1ED4FD999AB6C , 0x00003FFF +data8 0x8164D1F3BC030773 , 0x00003FFF +data8 0x8218AF4373FC25EC , 0x00003FFF +data8 0x82CD8698AC2BA1D7 , 0x00003FFF +data8 0x8383594EEFB6EE37 , 0x00003FFF +data8 0x843A28C3ACDE4046 , 0x00003FFF +data8 0x84F1F656379C1A29 , 0x00003FFF +data8 0x85AAC367CC487B15 , 0x00003FFF +data8 0x8664915B923FBA04 , 0x00003FFF +data8 0x871F61969E8D1010 , 0x00003FFF +data8 0x87DB357FF698D792 , 0x00003FFF +data8 0x88980E8092DA8527 , 0x00003FFF +data8 0x8955EE03618E5FDD , 0x00003FFF +data8 0x8A14D575496EFD9A , 0x00003FFF +data8 0x8AD4C6452C728924 , 0x00003FFF +ASM_SIZE_DIRECTIVE(exp_table_1) + +// Table 2 is 2^(index_1/8) where +// index_2 goes from 0 to 7 +exp_table_2: +ASM_TYPE_DIRECTIVE(exp_table_2,@object) +data8 0x8000000000000000 , 0x00003FFF +data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF +data8 0x9837F0518DB8A96F , 0x00003FFF +data8 0xA5FED6A9B15138EA , 0x00003FFF +data8 0xB504F333F9DE6484 , 0x00003FFF +data8 0xC5672A115506DADD , 0x00003FFF +data8 0xD744FCCAD69D6AF4 , 0x00003FFF +data8 0xEAC0C6E7DD24392F , 0x00003FFF +ASM_SIZE_DIRECTIVE (exp_table_2) + + +exp_p_table: +ASM_TYPE_DIRECTIVE(exp_p_table,@object) +data8 0x3f8111116da21757 //P_4 +data8 0x3fa55555d787761c //P_3 +data8 0x3fc5555555555414 //P_2 +data8 0x3fdffffffffffd6a //P_1 +ASM_SIZE_DIRECTIVE(exp_p_table) + + +.align 32 +.global exp# + +.section .text +.proc exp# +.align 32 +exp: +#ifdef _LIBC +.global __ieee754_exp# +__ieee754_exp: +#endif + +{ .mlx + alloc r32=ar.pfs,1,24,4,0 + movl exp_GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2 +} +{ .mlx + addl EXP_AD_TB1 = @ltoff(exp_table_1), gp + movl exp_GR_rshf_2to56 = 0x4768000000000000 ;; // 1.10000 2^(63+56) +} +;; + +// We do this fnorm right at the beginning to take any enabled +// faults and to normalize any input unnormals so that SWA is not taken. +{ .mfi + ld8 EXP_AD_TB1 = [EXP_AD_TB1] + fclass.m p8,p0 = f8,0x07 // Test for x=0 + mov exp_GR_17ones = 0x1FFFF +} +{ .mfi + mov exp_TB1_size = 0x100 + fnorm EXP_NORM_f8 = f8 + mov exp_GR_exp_2tom56 = 0xffff-56 +} +;; + +// Form two constants we need +// 1/ln2 * 2^63 to compute w = x * 1/ln2 * 128 +// 1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand + +{ .mmf + setf.sig EXP_INV_LN2_2TO63 = exp_GR_sig_inv_ln2 // form 1/ln2 * 2^63 + setf.d EXP_RSHF_2TO56 = exp_GR_rshf_2to56 // Form const 1.100 * 2^(63+56) + fclass.m p9,p0 = f8,0x22 // Test for x=-inf +} +;; + +{ .mlx + setf.exp EXP_2TOM56 = exp_GR_exp_2tom56 // form 2^-56 for scaling Nfloat + movl exp_GR_rshf = 0x43e8000000000000 // 1.10000 2^63 for right shift +} +{ .mfb + mov exp_TB2_size = 0x80 +(p8) fma.d f8 = f1,f1,f0 // quick exit for x=0 +(p8) br.ret.spnt b0 +;; +} + +{ .mfi + ldfpd EXP_MIN_DBL_OFLOW_ARG, EXP_MAX_DBL_ZERO_ARG = [EXP_AD_TB1],16 + fclass.m p10,p0 = f8,0x21 // Test for x=+inf + nop.i 999 +} +{ .mfb + nop.m 999 +(p9) fma.d f8 = f0,f0,f0 // quick exit for x=-inf +(p9) br.ret.spnt b0 +;; +} + +{ .mmf + ldfpd EXP_MAX_DBL_NORM_ARG, EXP_MAX_DBL_UFLOW_ARG = [EXP_AD_TB1],16 + setf.d EXP_RSHF = exp_GR_rshf // Form right shift const 1.100 * 2^63 + fclass.m p11,p0 = f8,0xc3 // Test for x=nan +;; +} + +{ .mfb + ldfd EXP_MIN_DBL_NORM_ARG = [EXP_AD_TB1],16 + nop.f 999 +(p10) br.ret.spnt b0 // quick exit for x=+inf +;; +} + +{ .mfi + ldfe exp_ln2_by_128_hi = [EXP_AD_TB1],16 + nop.f 999 + nop.i 999 +;; +} + + +{ .mfb + ldfe exp_ln2_by_128_lo = [EXP_AD_TB1],16 +(p11) fmerge.s f8 = EXP_NORM_f8, EXP_NORM_f8 +(p11) br.ret.spnt b0 // quick exit for x=nan +;; +} + +// After that last load, EXP_AD_TB1 points to the beginning of table 1 + +// W = X * Inv_log2_by_128 +// By adding 1.10...0*2^63 we shift and get round_int(W) in significand. +// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing. + +{ .mfi + nop.m 999 + fma.s1 EXP_W_2TO56_RSH = EXP_NORM_f8, EXP_INV_LN2_2TO63, EXP_RSHF_2TO56 + nop.i 999 +;; +} + + +// Divide arguments into the following categories: +// Certain Underflow/zero p11 - -inf < x <= MAX_DBL_ZERO_ARG +// Certain Underflow p12 - MAX_DBL_ZERO_ARG < x <= MAX_DBL_UFLOW_ARG +// Possible Underflow p13 - MAX_DBL_UFLOW_ARG < x < MIN_DBL_NORM_ARG +// Certain Safe - MIN_DBL_NORM_ARG <= x <= MAX_DBL_NORM_ARG +// Possible Overflow p14 - MAX_DBL_NORM_ARG < x < MIN_DBL_OFLOW_ARG +// Certain Overflow p15 - MIN_DBL_OFLOW_ARG <= x < +inf +// +// If the input is really a double arg, then there will never be "Possible +// Underflow" or "Possible Overflow" arguments. +// + +{ .mfi + add EXP_AD_TB2 = exp_TB1_size, EXP_AD_TB1 + fcmp.ge.s1 p15,p14 = EXP_NORM_f8,EXP_MIN_DBL_OFLOW_ARG + nop.i 999 +;; +} + +{ .mfi + add EXP_AD_P = exp_TB2_size, EXP_AD_TB2 + fcmp.le.s1 p11,p12 = EXP_NORM_f8,EXP_MAX_DBL_ZERO_ARG + nop.i 999 +;; +} + +{ .mfb + ldfpd exp_P4, exp_P3 = [EXP_AD_P] ,16 +(p14) fcmp.gt.unc.s1 p14,p0 = EXP_NORM_f8,EXP_MAX_DBL_NORM_ARG +(p15) br.cond.spnt L(EXP_CERTAIN_OVERFLOW) +;; +} + + +// Nfloat = round_int(W) +// The signficand of EXP_W_2TO56_RSH contains the rounded integer part of W, +// as a twos complement number in the lower bits (that is, it may be negative). +// That twos complement number (called N) is put into exp_GR_N. + +// Since EXP_W_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56 +// before the shift constant 1.10000 * 2^63 is subtracted to yield EXP_Nfloat. +// Thus, EXP_Nfloat contains the floating point version of N + + +{ .mfi + nop.m 999 +(p12) fcmp.le.unc p12,p0 = EXP_NORM_f8,EXP_MAX_DBL_UFLOW_ARG + nop.i 999 +} +{ .mfb + ldfpd exp_P2, exp_P1 = [EXP_AD_P] + fms.s1 EXP_Nfloat = EXP_W_2TO56_RSH, EXP_2TOM56, EXP_RSHF +(p11) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW_ZERO) +;; +} + +{ .mfi + getf.sig exp_GR_N = EXP_W_2TO56_RSH +(p13) fcmp.lt.unc p13,p0 = EXP_NORM_f8,EXP_MIN_DBL_NORM_ARG + nop.i 999 +;; +} + + +// exp_GR_index_1 has index_1 +// exp_GR_index_2_16 has index_2 * 16 +// exp_GR_biased_M has M +// exp_GR_index_1_16 has index_1 * 16 + +// r2 has true M +{ .mfi + and exp_GR_index_1 = 0x0f, exp_GR_N + fnma.s1 exp_r = EXP_Nfloat, exp_ln2_by_128_hi, EXP_NORM_f8 + shr r2 = exp_GR_N, 0x7 +} +{ .mfi + and exp_GR_index_2_16 = 0x70, exp_GR_N + fnma.s1 exp_f = EXP_Nfloat, exp_ln2_by_128_lo, f1 + nop.i 999 +;; +} + + +// EXP_AD_T1 has address of T1 +// EXP_AD_T2 has address if T2 + +{ .mmi + addl exp_GR_biased_M = 0xffff, r2 + add EXP_AD_T2 = EXP_AD_TB2, exp_GR_index_2_16 + shladd EXP_AD_T1 = exp_GR_index_1, 4, EXP_AD_TB1 +;; +} + + +// Create Scale = 2^M +// r = x - Nfloat * ln2_by_128_hi +// f = 1 - Nfloat * ln2_by_128_lo + +{ .mmi + setf.exp EXP_2M = exp_GR_biased_M + ldfe exp_T2 = [EXP_AD_T2] + nop.i 999 +;; +} + +// Load T1 and T2 +{ .mfi + ldfe exp_T1 = [EXP_AD_T1] + nop.f 999 + nop.i 999 +;; +} + + +{ .mfi + nop.m 999 + fma.s1 exp_rsq = exp_r, exp_r, f0 + nop.i 999 +} +{ .mfi + nop.m 999 + fma.s1 exp_rP4pP3 = exp_r, exp_P4, exp_P3 + nop.i 999 +;; +} + + + +{ .mfi + nop.m 999 + fma.s1 exp_rcube = exp_r, exp_rsq, f0 + nop.i 999 +} +{ .mfi + nop.m 999 + fma.s1 exp_P_lo = exp_r, exp_rP4pP3, exp_P2 + nop.i 999 +;; +} + + +{ .mfi + nop.m 999 + fma.s1 exp_P_hi = exp_rsq, exp_P1, exp_r + nop.i 999 +} +{ .mfi + nop.m 999 + fma.s1 exp_S2 = exp_f,exp_T2,f0 + nop.i 999 +;; +} + +{ .mfi + nop.m 999 + fma.s1 exp_S1 = EXP_2M,exp_T1,f0 + nop.i 999 +;; +} + + +{ .mfi + nop.m 999 + fma.s1 exp_P = exp_rcube, exp_P_lo, exp_P_hi + nop.i 999 +;; +} + +{ .mfi + nop.m 999 + fma.s1 exp_S = exp_S1,exp_S2,f0 + nop.i 999 +;; +} + +{ .bbb +(p12) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW) +(p13) br.cond.spnt L(EXP_POSSIBLE_UNDERFLOW) +(p14) br.cond.spnt L(EXP_POSSIBLE_OVERFLOW) +;; +} + + +{ .mfb + nop.m 999 + fma.d f8 = exp_S, exp_P, exp_S + br.ret.sptk b0 ;; // Normal path exit +} + + +L(EXP_POSSIBLE_OVERFLOW): + +// We got an answer. EXP_MAX_DBL_NORM_ARG < x < EXP_MIN_DBL_OFLOW_ARG +// overflow is a possibility, not a certainty + +{ .mfi + nop.m 999 + fsetc.s2 0x7F,0x42 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 + fma.d.s2 exp_wre_urm_f8 = exp_S, exp_P, exp_S + nop.i 999 ;; +} + +// We define an overflow when the answer with +// WRE set +// user-defined rounding mode +// is ldn +1 + +// Is the exponent 1 more than the largest double? +// If so, go to ERROR RETURN, else get the answer and +// leave. + +// Largest double is 7FE (biased double) +// 7FE - 3FF + FFFF = 103FE +// Create + largest_double_plus_ulp +// Create - largest_double_plus_ulp +// Calculate answer with WRE set. + +// Cases when answer is ldn+1 are as follows: +// ldn ldn+1 +// --+----------|----------+------------ +// | +// +inf +inf -inf +// RN RN +// RZ + +{ .mfi + nop.m 999 + fsetc.s2 0x7F,0x40 + mov exp_GR_gt_ln = 0x103ff ;; +} + +{ .mfi + setf.exp exp_gt_pln = exp_GR_gt_ln + nop.f 999 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 + fcmp.ge.unc.s1 p6, p0 = exp_wre_urm_f8, exp_gt_pln + nop.i 999 ;; +} + +{ .mfb + nop.m 999 + nop.f 999 +(p6) br.cond.spnt L(EXP_CERTAIN_OVERFLOW) ;; // Branch if really overflow +} + +{ .mfb + nop.m 999 + fma.d f8 = exp_S, exp_P, exp_S + br.ret.sptk b0 ;; // Exit if really no overflow +} + +L(EXP_CERTAIN_OVERFLOW): +{ .mmi + sub exp_GR_17ones_m1 = exp_GR_17ones, r0, 1 ;; + setf.exp f9 = exp_GR_17ones_m1 + nop.i 999 ;; +} + +{ .mfi + nop.m 999 + fmerge.s FR_X = f8,f8 + nop.i 999 +} +{ .mfb + mov GR_Parameter_TAG = 14 + fma.d FR_RESULT = f9, f9, f0 // Set I,O and +INF result + br.cond.sptk __libm_error_region ;; +} + +L(EXP_POSSIBLE_UNDERFLOW): + +// We got an answer. EXP_MAX_DBL_UFLOW_ARG < x < EXP_MIN_DBL_NORM_ARG +// underflow is a possibility, not a certainty + +// We define an underflow when the answer with +// ftz set +// is zero (tiny numbers become zero) + +// Notice (from below) that if we have an unlimited exponent range, +// then there is an extra machine number E between the largest denormal and +// the smallest normal. + +// So if with unbounded exponent we round to E or below, then we are +// tiny and underflow has occurred. + +// But notice that you can be in a situation where we are tiny, namely +// rounded to E, but when the exponent is bounded we round to smallest +// normal. So the answer can be the smallest normal with underflow. + +// E +// -----+--------------------+--------------------+----- +// | | | +// 1.1...10 2^-3fff 1.1...11 2^-3fff 1.0...00 2^-3ffe +// 0.1...11 2^-3ffe (biased, 1) +// largest dn smallest normal + +{ .mfi + nop.m 999 + fsetc.s2 0x7F,0x41 + nop.i 999 ;; +} +{ .mfi + nop.m 999 + fma.d.s2 exp_ftz_urm_f8 = exp_S, exp_P, exp_S + nop.i 999 ;; +} +{ .mfi + nop.m 999 + fsetc.s2 0x7F,0x40 + nop.i 999 ;; +} +{ .mfi + nop.m 999 + fcmp.eq.unc.s1 p6, p0 = exp_ftz_urm_f8, f0 + nop.i 999 ;; +} +{ .mfb + nop.m 999 + nop.f 999 +(p6) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW) ;; // Branch if really underflow +} +{ .mfb + nop.m 999 + fma.d f8 = exp_S, exp_P, exp_S + br.ret.sptk b0 ;; // Exit if really no underflow +} + +L(EXP_CERTAIN_UNDERFLOW): +{ .mfi + nop.m 999 + fmerge.s FR_X = f8,f8 + nop.i 999 +} +{ .mfb + mov GR_Parameter_TAG = 15 + fma.d FR_RESULT = exp_S, exp_P, exp_S // Set I,U and tiny result + br.cond.sptk __libm_error_region ;; +} + +L(EXP_CERTAIN_UNDERFLOW_ZERO): +{ .mmi + mov exp_GR_one = 1 ;; + setf.exp f9 = exp_GR_one + nop.i 999 ;; +} + +{ .mfi + nop.m 999 + fmerge.s FR_X = f8,f8 + nop.i 999 +} +{ .mfb + mov GR_Parameter_TAG = 15 + fma.d FR_RESULT = f9, f9, f0 // Set I,U and tiny (+0.0) result + br.cond.sptk __libm_error_region ;; +} + +.endp exp +ASM_SIZE_DIRECTIVE(exp) + + +.proc __libm_error_region +__libm_error_region: +.prologue +{ .mfi + add GR_Parameter_Y=-32,sp // Parameter 2 value + nop.f 0 +.save ar.pfs,GR_SAVE_PFS + mov GR_SAVE_PFS=ar.pfs // Save ar.pfs +} +{ .mfi +.fframe 64 + add sp=-64,sp // Create new stack + nop.f 0 + mov GR_SAVE_GP=gp // Save gp +};; +{ .mmi + stfd [GR_Parameter_Y] = FR_Y,16 // STORE Parameter 2 on stack + add GR_Parameter_X = 16,sp // Parameter 1 address +.save b0, GR_SAVE_B0 + mov GR_SAVE_B0=b0 // Save b0 +};; +.body +{ .mib + stfd [GR_Parameter_X] = FR_X // STORE Parameter 1 on stack + add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address + nop.b 0 +} +{ .mib + stfd [GR_Parameter_Y] = FR_RESULT // STORE Parameter 3 on stack + add GR_Parameter_Y = -16,GR_Parameter_Y + br.call.sptk b0=__libm_error_support# // Call error handling function +};; +{ .mmi + nop.m 0 + nop.m 0 + add GR_Parameter_RESULT = 48,sp +};; +{ .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# |