diff options
Diffstat (limited to 'sysdeps/ia64/fpu/s_expm1f.S')
| -rw-r--r-- | sysdeps/ia64/fpu/s_expm1f.S | 2062 |
1 files changed, 489 insertions, 1573 deletions
diff --git a/sysdeps/ia64/fpu/s_expm1f.S b/sysdeps/ia64/fpu/s_expm1f.S index cc2c537..8996977 100644 --- a/sysdeps/ia64/fpu/s_expm1f.S +++ b/sysdeps/ia64/fpu/s_expm1f.S @@ -1,10 +1,10 @@ -.file "exp_m1f.s" +.file "expf_m1.s" -// Copyright (C) 2000, 2001, Intel Corporation + +// Copyright (c) 2000 - 2005, 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. +// +// Contributed 2000 by the Intel Numerics Group, Intel Corporation // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are @@ -20,1735 +20,651 @@ // * The name of Intel Corporation may not be used to endorse or promote // products derived from this software without specific prior written // permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + +// 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 +// 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 +// 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. +// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // -// 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 +// Intel Corporation is the author of this code, and requests that all +// problem reports or change requests be submitted to it directly at +// http://www.intel.com/software/products/opensource/libraries/num.htm. + +// History +//********************************************************************* +// 02/02/00 Initial Version +// 04/04/00 Unwind support added +// 08/15/00 Bundle added after call to __libm_error_support to properly // set [the previously overwritten] GR_Parameter_RESULT. +// 07/07/01 Improved speed of all paths +// 05/20/02 Cleaned up namespace and sf0 syntax +// 11/20/02 Improved speed, algorithm based on expf +// 03/31/05 Reformatted delimiters between data tables // -// ********************************************************************* -// -// Function: Combined expf(x) and expm1f(x), where -// x -// expf(x) = e , for single precision x values -// x -// expm1f(x) = e - 1 for single precision x values -// -// ********************************************************************* -// -// Accuracy: Within .7 ulps for 80-bit floating point values -// Very accurate for single precision values -// -// ********************************************************************* -// -// Resources Used: -// -// Floating-Point Registers: f8 (Input and Return Value) -// f9,f32-f61, f99-f102 -// -// General Purpose Registers: -// r32-r61 -// r62-r65 (Used to pass arguments to error handling routine) -// -// Predicate Registers: p6-p15 -// -// ********************************************************************* -// -// IEEE Special Conditions: -// -// Denormal fault raised on denormal inputs -// Overflow exceptions raised when appropriate for exp and expm1 -// Underflow exceptions raised when appropriate for exp and expm1 -// (Error Handling Routine called for overflow and Underflow) -// Inexact raised when appropriate by algorithm -// -// expf(inf) = inf -// expf(-inf) = +0 -// expf(SNaN) = QNaN -// expf(QNaN) = QNaN -// expf(0) = 1 -// expf(EM_special Values) = QNaN -// expf(inf) = inf -// expm1f(-inf) = -1 -// expm1f(SNaN) = QNaN -// expm1f(QNaN) = QNaN -// expm1f(0) = 0 -// expm1f(EM_special Values) = QNaN -// -// ********************************************************************* -// -// Implementation and Algorithm Notes: -// -// ker_exp_64( in_FR : X, -// in_GR : Flag, -// in_GR : Expo_Range -// out_FR : Y_hi, -// out_FR : Y_lo, -// out_FR : scale, -// out_PR : Safe ) -// -// On input, X is in register format and -// Flag = 0 for exp, -// Flag = 1 for expm1, -// -// On output, provided X and X_cor are real numbers, then -// -// scale*(Y_hi + Y_lo) approximates expf(X) if Flag is 0 -// scale*(Y_hi + Y_lo) approximates expf(X)-1 if Flag is 1 -// -// The accuracy is sufficient for a highly accurate 64 sig. -// bit implementation. Safe is set if there is no danger of -// overflow/underflow when the result is composed from scale, -// Y_hi and Y_lo. Thus, we can have a fast return if Safe is set. -// Otherwise, one must prepare to handle the possible exception -// appropriately. Note that SAFE not set (false) does not mean -// that overflow/underflow will occur; only the setting of SAFE -// guarantees the opposite. -// -// **** High Level Overview **** -// -// The method consists of three cases. -// -// If |X| < Tiny use case exp_tiny; -// else if |X| < 2^(-6) use case exp_small; -// else use case exp_regular; -// -// Case exp_tiny: -// -// 1 + X can be used to approximate expf(X) or expf(X+X_cor); -// X + X^2/2 can be used to approximate expf(X) - 1 -// -// Case exp_small: -// -// Here, expf(X), expf(X+X_cor), and expf(X) - 1 can all be -// appproximated by a relatively simple polynomial. -// -// This polynomial resembles the truncated Taylor series -// -// expf(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n! -// -// Case exp_regular: -// -// Here we use a table lookup method. The basic idea is that in -// order to compute expf(X), we accurately decompose X into -// -// X = N * log(2)/(2^12) + r, |r| <= log(2)/2^13. -// -// Hence -// -// expf(X) = 2^( N / 2^12 ) * expf(r). -// -// The value 2^( N / 2^12 ) is obtained by simple combinations -// of values calculated beforehand and stored in table; expf(r) -// is approximated by a short polynomial because |r| is small. -// -// We elaborate this method in 4 steps. -// -// Step 1: Reduction -// -// The value 2^12/log(2) is stored as a double-extended number -// L_Inv. -// -// N := round_to_nearest_integer( X * L_Inv ) -// -// The value log(2)/2^12 is stored as two numbers L_hi and L_lo so -// that r can be computed accurately via -// -// r := (X - N*L_hi) - N*L_lo -// -// We pick L_hi such that N*L_hi is representable in 64 sig. bits -// and thus the FMA X - N*L_hi is error free. So r is the -// 1 rounding error from an exact reduction with respect to -// -// L_hi + L_lo. -// -// In particular, L_hi has 30 significant bit and can be stored -// as a double-precision number; L_lo has 64 significant bits and -// stored as a double-extended number. -// -// In the case Flag = 2, we further modify r by -// -// r := r + X_cor. -// -// Step 2: Approximation -// -// expf(r) - 1 is approximated by a short polynomial of the form -// -// r + A_1 r^2 + A_2 r^3 + A_3 r^4 . -// -// Step 3: Composition from Table Values -// -// The value 2^( N / 2^12 ) can be composed from a couple of tables -// of precalculated values. First, express N as three integers -// K, M_1, and M_2 as -// -// N = K * 2^12 + M_1 * 2^6 + M_2 -// -// Where 0 <= M_1, M_2 < 2^6; and K can be positive or negative. -// When N is represented in 2's complement, M_2 is simply the 6 -// lsb's, M_1 is the next 6, and K is simply N shifted right -// arithmetically (sign extended) by 12 bits. -// -// Now, 2^( N / 2^12 ) is simply -// -// 2^K * 2^( M_1 / 2^6 ) * 2^( M_2 / 2^12 ) -// -// Clearly, 2^K needs no tabulation. The other two values are less -// trivial because if we store each accurately to more than working -// precision, than its product is too expensive to calculate. We -// use the following method. -// -// Define two mathematical values, delta_1 and delta_2, implicitly -// such that -// -// T_1 = expf( [M_1 log(2)/2^6] - delta_1 ) -// T_2 = expf( [M_2 log(2)/2^12] - delta_2 ) -// -// are representable as 24 significant bits. To illustrate the idea, -// we show how we define delta_1: -// -// T_1 := round_to_24_bits( expf( M_1 log(2)/2^6 ) ) -// delta_1 = (M_1 log(2)/2^6) - log( T_1 ) -// -// The last equality means mathematical equality. We then tabulate -// -// W_1 := expf(delta_1) - 1 -// W_2 := expf(delta_2) - 1 -// -// Both in double precision. -// -// From the tabulated values T_1, T_2, W_1, W_2, we compose the values -// T and W via -// -// T := T_1 * T_2 ...exactly -// W := W_1 + (1 + W_1)*W_2 -// -// W approximates expf( delta ) - 1 where delta = delta_1 + delta_2. -// The mathematical product of T and (W+1) is an accurate representation -// of 2^(M_1/2^6) * 2^(M_2/2^12). -// -// Step 4. Reconstruction -// -// Finally, we can reconstruct expf(X), expf(X) - 1. -// Because -// -// X = K * log(2) + (M_1*log(2)/2^6 - delta_1) -// + (M_2*log(2)/2^12 - delta_2) -// + delta_1 + delta_2 + r ...accurately -// We have -// -// expf(X) ~=~ 2^K * ( T + T*[expf(delta_1+delta_2+r) - 1] ) -// ~=~ 2^K * ( T + T*[expf(delta + r) - 1] ) -// ~=~ 2^K * ( T + T*[(expf(delta)-1) -// + expf(delta)*(expf(r)-1)] ) -// ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) ) -// ~=~ 2^K * ( Y_hi + Y_lo ) -// -// where Y_hi = T and Y_lo = T*(W + (1+W)*poly(r)) -// -// For expf(X)-1, we have -// -// expf(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1 -// ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) ) -// -// and we combine Y_hi + Y_lo - 2^(-N) into the form of two -// numbers Y_hi + Y_lo carefully. -// -// **** Algorithm Details **** -// -// A careful algorithm must be used to realize the mathematical ideas -// accurately. We describe each of the three cases. We assume SAFE -// is preset to be TRUE. -// -// Case exp_tiny: -// -// The important points are to ensure an accurate result under -// different rounding directions and a correct setting of the SAFE -// flag. -// -// If Flag is 1, then -// SAFE := False ...possibility of underflow -// Scale := 1.0 -// Y_hi := X -// Y_lo := 2^(-17000) -// Else -// Scale := 1.0 -// Y_hi := 1.0 -// Y_lo := X ...for different rounding modes -// Endif -// -// Case exp_small: -// -// Here we compute a simple polynomial. To exploit parallelism, we split -// the polynomial into several portions. -// -// Let r = X -// -// If Flag is not 1 ...i.e. expf( argument ) -// -// rsq := r * r; -// r4 := rsq*rsq -// poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6)) -// poly_hi := r + rsq*(P_1 + r*P_2) -// Y_lo := poly_hi + r4 * poly_lo -// set lsb(Y_lo) to 1 -// Y_hi := 1.0 -// Scale := 1.0 -// -// Else ...i.e. expf( argument ) - 1 -// -// rsq := r * r -// r4 := rsq * rsq -// r6 := rsq * r4 -// poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7)) -// poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4)) -// Y_lo := rsq*poly_hi + poly_lo -// set lsb(Y_lo) to 1 -// Y_hi := X -// Scale := 1.0 -// -// Endif -// -// Case exp_regular: -// -// The previous description contain enough information except the -// computation of poly and the final Y_hi and Y_lo in the case for -// expf(X)-1. -// -// The computation of poly for Step 2: -// -// rsq := r*r -// poly := r + rsq*(A_1 + r*(A_2 + r*A_3)) -// -// For the case expf(X) - 1, we need to incorporate 2^(-K) into -// Y_hi and Y_lo at the end of Step 4. -// -// If K > 10 then -// Y_lo := Y_lo - 2^(-K) -// Else -// If K < -10 then -// Y_lo := Y_hi + Y_lo -// Y_hi := -2^(-K) -// Else -// Y_hi := Y_hi - 2^(-K) -// End If -// End If // +// API +//********************************************************************* +// float expm1f(float) +// +// Overview of operation +//********************************************************************* +// 1. Inputs of Nan, Inf, Zero, NatVal handled with special paths +// +// 2. |x| < 2^-40 +// Result = x, computed by x + x*x to handle appropriate flags and rounding +// +// 3. 2^-40 <= |x| < 2^-2 +// Result determined by 8th order Taylor series polynomial +// expm1f(x) = x + A2*x^2 + ... + A8*x^8 +// +// 4. x < -24.0 +// Here we know result is essentially -1 + eps, where eps only affects +// rounded result. Set I. +// +// 5. x >= 88.7228 +// Result overflows. Set I, O, and call error support +// +// 6. 2^-2 <= x < 88.7228 or -24.0 <= x < -2^-2 +// This is the main path. The algorithm is described below: + +// Take the input x. w is "how many log2/128 in x?" +// w = x * 64/log2 +// NJ = int(w) +// x = NJ*log2/64 + R + +// NJ = 64*n + j +// x = n*log2 + (log2/64)*j + R +// +// So, exp(x) = 2^n * 2^(j/64)* exp(R) +// +// T = 2^n * 2^(j/64) +// Construct 2^n +// Get 2^(j/64) table +// actually all the entries of 2^(j/64) table are stored in DP and +// with exponent bits set to 0 -> multiplication on 2^n can be +// performed by doing logical "or" operation with bits presenting 2^n + +// exp(R) = 1 + (exp(R) - 1) +// P = exp(R) - 1 approximated by Taylor series of 3rd degree +// P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2 +// + +// The final result is reconstructed as follows +// expm1f(x) = T*P + (T - 1.0) + +// Special values +//********************************************************************* +// expm1f(+0) = +0.0 +// expm1f(-0) = -0.0 + +// expm1f(+qnan) = +qnan +// expm1f(-qnan) = -qnan +// expm1f(+snan) = +qnan +// expm1f(-snan) = -qnan + +// expm1f(-inf) = -1.0 +// expm1f(+inf) = +inf + +// Overflow and Underflow +//********************************************************************* +// expm1f(x) = largest single normal when +// x = 88.7228 = 0x42b17217 +// +// Underflow is handled as described in case 2 above. + + +// Registers used +//********************************************************************* +// Floating Point registers used: +// f8, input +// f6,f7, f9 -> f15, f32 -> f45 + +// General registers used: +// r3, r20 -> r38 + +// Predicate registers used: +// p9 -> p15 + +// Assembly macros +//********************************************************************* +// integer registers used +// scratch +rNJ = r3 + +rExp_half = r20 +rSignexp_x = r21 +rExp_x = r22 +rExp_mask = r23 +rExp_bias = r24 +rTmp = r25 +rM1_lim = r25 +rGt_ln = r25 +rJ = r26 +rN = r27 +rTblAddr = r28 +rLn2Div64 = r29 +rRightShifter = r30 +r64DivLn2 = r31 +// stacked +GR_SAVE_PFS = r32 +GR_SAVE_B0 = r33 +GR_SAVE_GP = r34 +GR_Parameter_X = r35 +GR_Parameter_Y = r36 +GR_Parameter_RESULT = r37 +GR_Parameter_TAG = r38 + +// floating point registers used +FR_X = f10 +FR_Y = f1 +FR_RESULT = f8 +// scratch +fRightShifter = f6 +f64DivLn2 = f7 +fNormX = f9 +fNint = f10 +fN = f11 +fR = f12 +fLn2Div64 = f13 +fA2 = f14 +fA3 = f15 +// stacked +fP = f32 +fX3 = f33 +fT = f34 +fMIN_SGL_OFLOW_ARG = f35 +fMAX_SGL_NORM_ARG = f36 +fMAX_SGL_MINUS_1_ARG = f37 +fA4 = f38 +fA43 = f38 +fA432 = f38 +fRSqr = f39 +fA5 = f40 +fTmp = f41 +fGt_pln = f41 +fXsq = f41 +fA7 = f42 +fA6 = f43 +fA65 = f43 +fTm1 = f44 +fA8 = f45 +fA87 = f45 +fA8765 = f45 +fA8765432 = f45 +fWre_urm_f8 = f45 + +RODATA +.align 16 +LOCAL_OBJECT_START(_expf_table) +data8 0x3efa01a01a01a01a // A8 = 1/8! +data8 0x3f2a01a01a01a01a // A7 = 1/7! +data8 0x3f56c16c16c16c17 // A6 = 1/6! +data8 0x3f81111111111111 // A5 = 1/5! +data8 0x3fa5555555555555 // A4 = 1/4! +data8 0x3fc5555555555555 // A3 = 1/3! +// +data4 0x42b17218 // Smallest sgl arg to overflow sgl result +data4 0x42b17217 // Largest sgl arg to give sgl result +// +// 2^(j/64) table, j goes from 0 to 63 +data8 0x0000000000000000 // 2^(0/64) +data8 0x00002C9A3E778061 // 2^(1/64) +data8 0x000059B0D3158574 // 2^(2/64) +data8 0x0000874518759BC8 // 2^(3/64) +data8 0x0000B5586CF9890F // 2^(4/64) +data8 0x0000E3EC32D3D1A2 // 2^(5/64) +data8 0x00011301D0125B51 // 2^(6/64) +data8 0x0001429AAEA92DE0 // 2^(7/64) +data8 0x000172B83C7D517B // 2^(8/64) +data8 0x0001A35BEB6FCB75 // 2^(9/64) +data8 0x0001D4873168B9AA // 2^(10/64) +data8 0x0002063B88628CD6 // 2^(11/64) +data8 0x0002387A6E756238 // 2^(12/64) +data8 0x00026B4565E27CDD // 2^(13/64) +data8 0x00029E9DF51FDEE1 // 2^(14/64) +data8 0x0002D285A6E4030B // 2^(15/64) +data8 0x000306FE0A31B715 // 2^(16/64) +data8 0x00033C08B26416FF // 2^(17/64) +data8 0x000371A7373AA9CB // 2^(18/64) +data8 0x0003A7DB34E59FF7 // 2^(19/64) +data8 0x0003DEA64C123422 // 2^(20/64) +data8 0x0004160A21F72E2A // 2^(21/64) +data8 0x00044E086061892D // 2^(22/64) +data8 0x000486A2B5C13CD0 // 2^(23/64) +data8 0x0004BFDAD5362A27 // 2^(24/64) +data8 0x0004F9B2769D2CA7 // 2^(25/64) +data8 0x0005342B569D4F82 // 2^(26/64) +data8 0x00056F4736B527DA // 2^(27/64) +data8 0x0005AB07DD485429 // 2^(28/64) +data8 0x0005E76F15AD2148 // 2^(29/64) +data8 0x0006247EB03A5585 // 2^(30/64) +data8 0x0006623882552225 // 2^(31/64) +data8 0x0006A09E667F3BCD // 2^(32/64) +data8 0x0006DFB23C651A2F // 2^(33/64) +data8 0x00071F75E8EC5F74 // 2^(34/64) +data8 0x00075FEB564267C9 // 2^(35/64) +data8 0x0007A11473EB0187 // 2^(36/64) +data8 0x0007E2F336CF4E62 // 2^(37/64) +data8 0x00082589994CCE13 // 2^(38/64) +data8 0x000868D99B4492ED // 2^(39/64) +data8 0x0008ACE5422AA0DB // 2^(40/64) +data8 0x0008F1AE99157736 // 2^(41/64) +data8 0x00093737B0CDC5E5 // 2^(42/64) +data8 0x00097D829FDE4E50 // 2^(43/64) +data8 0x0009C49182A3F090 // 2^(44/64) +data8 0x000A0C667B5DE565 // 2^(45/64) +data8 0x000A5503B23E255D // 2^(46/64) +data8 0x000A9E6B5579FDBF // 2^(47/64) +data8 0x000AE89F995AD3AD // 2^(48/64) +data8 0x000B33A2B84F15FB // 2^(49/64) +data8 0x000B7F76F2FB5E47 // 2^(50/64) +data8 0x000BCC1E904BC1D2 // 2^(51/64) +data8 0x000C199BDD85529C // 2^(52/64) +data8 0x000C67F12E57D14B // 2^(53/64) +data8 0x000CB720DCEF9069 // 2^(54/64) +data8 0x000D072D4A07897C // 2^(55/64) +data8 0x000D5818DCFBA487 // 2^(56/64) +data8 0x000DA9E603DB3285 // 2^(57/64) +data8 0x000DFC97337B9B5F // 2^(58/64) +data8 0x000E502EE78B3FF6 // 2^(59/64) +data8 0x000EA4AFA2A490DA // 2^(60/64) +data8 0x000EFA1BEE615A27 // 2^(61/64) +data8 0x000F50765B6E4540 // 2^(62/64) +data8 0x000FA7C1819E90D8 // 2^(63/64) +LOCAL_OBJECT_END(_expf_table) -#include "libm_support.h" - - -GR_SAVE_B0 = r60 -GR_SAVE_PFS = r59 -GR_SAVE_GP = r61 - -GR_Parameter_X = r62 -GR_Parameter_Y = r63 -GR_Parameter_RESULT = r64 -GR_Parameter_TAG = r65 - -FR_X = f9 -FR_Y = f1 -FR_RESULT = f99 - - -#ifdef _LIBC -.rodata -#else -.data -#endif - -.align 64 -Constants_exp_64_Arg: -ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object) -data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 -data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000 -data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000 -// /* Inv_L, L_hi, L_lo */ -ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg) - -.align 64 -Constants_exp_64_Exponents: -ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object) -data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF -data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF -data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF -data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF -data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF -data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF -ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents) - -.align 64 -Constants_exp_64_A: -ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object) -data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000 -data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000 -data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000 -// /* Reversed */ -ASM_SIZE_DIRECTIVE(Constants_exp_64_A) - -.align 64 -Constants_exp_64_P: -ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object) -data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000 -data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000 -data4 0x7474C518,0x88888888,0x00003FF8,0x00000000 -data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000 -data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000 -data4 0x000004C7,0x80000000,0x00003FFE,0x00000000 -// /* Reversed */ -ASM_SIZE_DIRECTIVE(Constants_exp_64_P) - -.align 64 -Constants_exp_64_Q: -ASM_TYPE_DIRECTIVE(Constants_exp_64_Q,@object) -data4 0xA49EF6CA,0xD00D56F7,0x00003FEF,0x00000000 -data4 0x1C63493D,0xD00D59AB,0x00003FF2,0x00000000 -data4 0xFB50CDD2,0xB60B60B5,0x00003FF5,0x00000000 -data4 0x7BA68DC8,0x88888888,0x00003FF8,0x00000000 -data4 0xAAAAAC8D,0xAAAAAAAA,0x00003FFA,0x00000000 -data4 0xAAAAACCA,0xAAAAAAAA,0x00003FFC,0x00000000 -data4 0x00000000,0x80000000,0x00003FFE,0x00000000 -// /* Reversed */ -ASM_SIZE_DIRECTIVE(Constants_exp_64_Q) - -.align 64 -Constants_exp_64_T1: -ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object) -data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 -data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 -data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC -data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D -data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA -data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516 -data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A -data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4 -data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B -data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD -data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15 -data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B -data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5 -data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A -data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177 -data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C -ASM_SIZE_DIRECTIVE(Constants_exp_64_T1) - -.align 64 -Constants_exp_64_T2: -ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object) -data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 -data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 -data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E -data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 -data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 -data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA -data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 -data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A -data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 -data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA -data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 -data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA -data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 -data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 -data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE -data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37 -ASM_SIZE_DIRECTIVE(Constants_exp_64_T2) - -.align 64 -Constants_exp_64_W1: -ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object) -data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454 -data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6 -data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA -data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50 -data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2 -data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE -data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B -data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04 -data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419 -data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376 -data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A -data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB -data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E -data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA -data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 -data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B -data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 -data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 -data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 -data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 -data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB -data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643 -data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C -data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D -data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 -data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F -data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 -data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 -data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC -data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB -data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB -data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148 -ASM_SIZE_DIRECTIVE(Constants_exp_64_W1) - -.align 64 -Constants_exp_64_W2: -ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object) -data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 -data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 -data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A -data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E -data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 -data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 -data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 -data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 -data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 -data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D -data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 -data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 -data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 -data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F -data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 -data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 -data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D -data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030 -data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 -data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED -data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B -data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 -data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 -data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C -data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 -data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE -data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 -data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 -data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 -data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 -data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE -data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9 -ASM_SIZE_DIRECTIVE(Constants_exp_64_W2) .section .text -.proc expm1f# -.global expm1f# -.align 64 - -expm1f: -#ifdef _LIBC -.global __expm1f# -__expm1f: -#endif - +GLOBAL_IEEE754_ENTRY(expm1f) -{ .mii - alloc r32 = ar.pfs,0,30,4,0 -(p0) add r33 = 1, r0 -(p0) cmp.eq.unc p7, p0 = r0, r0 -} -;; - -// -// Set p7 true for expm1 -// Set Flag = r33 = 1 for expm1 -// These are really no longer necesary, but are a remnant -// when this file had multiple entry points. -// They should be carefully removed - - -{ .mfi -(p0) add r32 = 0,r0 -(p0) fnorm.s1 f9 = f8 - nop.i 0 -} - -{ .mfi - nop.m 0 -// -// Set p7 false for exp -// Set Flag = r33 = 0 for exp -// -(p0) fclass.m.unc p6, p8 = f8, 0x1E7 - nop.i 0 ;; +{ .mlx + getf.exp rSignexp_x = f8 // Must recompute if x unorm + movl r64DivLn2 = 0x40571547652B82FE // 64/ln(2) } - -{ .mfi - nop.m 999 -(p0) fclass.nm.unc p9, p0 = f8, 0x1FF - nop.i 0 +{ .mlx + addl rTblAddr = @ltoff(_expf_table),gp + movl rRightShifter = 0x43E8000000000000 // DP Right Shifter } +;; { .mfi - nop.m 999 -(p0) mov f36 = f1 - nop.i 999 ;; -} - -// -// Identify NatVals, NaNs, Infs, and Zeros. -// Identify EM unsupporteds. -// Save special input registers -// -// Create FR_X_cor = 0.0 -// GR_Flag = 0 -// GR_Expo_Range = 0 (r32) for single precision -// FR_Scale = 1.0 -// - -{ .mfb - nop.m 999 -(p0) mov f32 = f0 -(p6) br.cond.spnt EXPF_64_SPECIAL ;; -} - -{ .mib - nop.m 999 - nop.i 999 -(p9) br.cond.spnt EXPF_64_UNSUPPORTED ;; + // point to the beginning of the table + ld8 rTblAddr = [rTblAddr] + fclass.m p14, p0 = f8 , 0x22 // test for -INF + mov rExp_mask = 0x1ffff // Exponent mask } - -// -// Branch out for special input values -// - { .mfi -(p0) cmp.ne.unc p12, p13 = 0x01, r33 -(p0) fcmp.lt.unc.s0 p9,p0 = f8, f0 -(p0) cmp.eq.unc p15, p0 = r0, r0 -} - -// -// Raise possible denormal operand exception -// Normalize x -// -// This function computes expf( x + x_cor) -// Input FR 1: FR_X -// Input FR 2: FR_X_cor -// Input GR 1: GR_Flag -// Input GR 2: GR_Expo_Range -// Output FR 3: FR_Y_hi -// Output FR 4: FR_Y_lo -// Output FR 5: FR_Scale -// Output PR 1: PR_Safe - -// -// Prepare to load constants -// Set Safe = True -// - -{ .mmi -(p0) addl r34 = @ltoff(Constants_exp_64_Arg#),gp -(p0) addl r40 = @ltoff(Constants_exp_64_W1#),gp -(p0) addl r41 = @ltoff(Constants_exp_64_W2#),gp -};; - -{ .mmi - ld8 r34 = [r34] - ld8 r40 = [r40] -(p0) addl r50 = @ltoff(Constants_exp_64_T1#), gp + nop.m 0 + fnorm.s1 fNormX = f8 // normalized x + nop.i 0 } ;; -{ .mmi - ld8 r41 = [r41] -(p0) ldfe f37 = [r34],16 -(p0) addl r51 = @ltoff(Constants_exp_64_T2#), gp -} -;; -// -// N = fcvt.fx(float_N) -// Set p14 if -6 > expo_X -// -// -// Bias = 0x0FFFF -// expo_X = expo_X and Mask -// -{ .mmi - ld8 r50 = [r50] -(p0) ldfe f40 = [r34],16 - nop.i 999 +{ .mfi + setf.d f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg + fclass.m p9, p0 = f8 , 0x0b // test for x unorm + mov rExp_bias = 0xffff // Exponent bias } -;; - -{ .mlx - nop.m 999 -(p0) movl r58 = 0x0FFFF -};; - -// -// Load W2_ptr -// Branch to SMALL is expo_X < -6 -// -// -// float_N = X * L_Inv -// expo_X = exponent of X -// Mask = 0x1FFFF -// - -{ .mmi - ld8 r51 = [r51] -(p0) ldfe f41 = [r34],16 -// -// float_N = X * L_Inv -// expo_X = exponent of X -// Mask = 0x1FFFF -// - nop.i 0 -};; - { .mlx -(p0) addl r34 = @ltoff(Constants_exp_64_Exponents#), gp -(p0) movl r39 = 0x1FFFF + // load Right Shifter to FP reg + setf.d fRightShifter = rRightShifter + movl rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR } ;; -{ .mmi - ld8 r34 = [r34] -(p0) getf.exp r37 = f9 - nop.i 999 -} -;; - -{ .mii - nop.m 999 - nop.i 999 -(p0) and r37 = r37, r39 ;; -} - -{ .mmi -(p0) sub r37 = r37, r58 ;; -(p0) cmp.gt.unc p14, p0 = -6, r37 -(p0) cmp.lt.unc p10, p0 = 14, r37 ;; -} - { .mfi - nop.m 999 -// -// Load L_inv -// Set p12 true for Flag = 0 (exp) -// Set p13 true for Flag = 1 (expm1) -// -(p0) fmpy.s1 f38 = f9, f37 - nop.i 999 ;; + ldfpd fA8, fA7 = [rTblAddr], 16 + fcmp.eq.s1 p13, p0 = f0, f8 // test for x = 0.0 + mov rExp_half = 0xfffe } - { .mfb - nop.m 999 -// -// Load L_hi -// expo_X = expo_X - Bias -// get W1_ptr -// -(p0) fcvt.fx.s1 f39 = f38 -(p14) br.cond.spnt EXPF_SMALL ;; -} - -{ .mib - nop.m 999 - nop.i 999 -(p10) br.cond.spnt EXPF_HUGE ;; -} - -{ .mmi -(p0) shladd r34 = r32,4,r34 -(p0) addl r35 = @ltoff(Constants_exp_64_A#),gp - nop.i 999 + setf.d fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg + nop.f 0 +(p9) br.cond.spnt EXPM1_UNORM // Branch if x unorm } ;; -{ .mmi - ld8 r35 = [r35] - nop.m 999 - nop.i 999 +EXPM1_COMMON: +{ .mfb + ldfpd fA6, fA5 = [rTblAddr], 16 +(p14) fms.s.s0 f8 = f0, f0, f1 // result if x = -inf +(p14) br.ret.spnt b0 // exit here if x = -inf } ;; -// -// Load T_1,T_2 -// - -{ .mmb -(p0) ldfe f51 = [r35],16 -(p0) ld8 r45 = [r34],8 - nop.b 999 ;; -} -// -// Set Safe = True if k >= big_expo_neg -// Set Safe = False if k < big_expo_neg -// - -{ .mmb -(p0) ldfe f49 = [r35],16 -(p0) ld8 r48 = [r34],0 - nop.b 999 ;; -} - -{ .mfi - nop.m 999 -// -// Branch to HUGE is expo_X > 14 -// -(p0) fcvt.xf f38 = f39 - nop.i 999 ;; -} - -{ .mfi -(p0) getf.sig r52 = f39 - nop.f 999 - nop.i 999 ;; -} - -{ .mii - nop.m 999 -(p0) extr.u r43 = r52, 6, 6 ;; -// -// r = r - float_N * L_lo -// K = extr(N_fix,12,52) -// -(p0) shladd r40 = r43,3,r40 ;; -} - -{ .mfi -(p0) shladd r50 = r43,2,r50 -(p0) fnma.s1 f42 = f40, f38, f9 -// -// float_N = float(N) -// N_fix = signficand N -// -(p0) extr.u r42 = r52, 0, 6 -} - -{ .mmi -(p0) ldfd f43 = [r40],0 ;; -(p0) shladd r41 = r42,3,r41 -(p0) shladd r51 = r42,2,r51 -} -// -// W_1_p1 = 1 + W_1 -// - -{ .mmi -(p0) ldfs f44 = [r50],0 ;; -(p0) ldfd f45 = [r41],0 -// -// M_2 = extr(N_fix,0,6) -// M_1 = extr(N_fix,6,6) -// r = X - float_N * L_hi -// -(p0) extr r44 = r52, 12, 52 -} - -{ .mmi -(p0) ldfs f46 = [r51],0 ;; -(p0) sub r46 = r58, r44 -(p0) cmp.gt.unc p8, p15 = r44, r45 -} -// -// W = W_1 + W_1_p1*W_2 -// Load A_2 -// Bias_m_K = Bias - K -// - -{ .mii -(p0) ldfe f40 = [r35],16 -// -// load A_1 -// poly = A_2 + r*A_3 -// rsq = r * r -// neg_2_mK = exponent of Bias_m_k -// -(p0) add r47 = r58, r44 ;; -// -// Set Safe = True if k <= big_expo_pos -// Set Safe = False if k > big_expo_pos -// Load A_3 -// -(p15) cmp.lt p8,p15 = r44,r48 ;; -} - -{ .mmf -(p0) setf.exp f61 = r46 -// -// Bias_p + K = Bias + K -// T = T_1 * T_2 -// -(p0) setf.exp f36 = r47 -(p0) fnma.s1 f42 = f41, f38, f42 ;; -} - -{ .mfi - nop.m 999 -// -// Load W_1,W_2 -// Load big_exp_pos, load big_exp_neg -// -(p0) fadd.s1 f47 = f43, f1 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fma.s1 f52 = f42, f51, f49 - nop.i 999 -} - -{ .mfi - nop.m 999 -(p0) fmpy.s1 f48 = f42, f42 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fmpy.s1 f53 = f44, f46 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fma.s1 f54 = f45, f47, f43 - nop.i 999 -} - -{ .mfi - nop.m 999 -(p0) fneg f61 = f61 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fma.s1 f52 = f42, f52, f40 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fadd.s1 f55 = f54, f1 - nop.i 999 -} - -{ .mfi - nop.m 999 -// -// W + Wp1 * poly -// -(p0) mov f34 = f53 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -// -// A_1 + r * poly -// Scale = setf_expf(Bias_p_k) -// -(p0) fma.s1 f52 = f48, f52, f42 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -// -// poly = r + rsq(A_1 + r*poly) -// Wp1 = 1 + W -// neg_2_mK = -neg_2_mK -// -(p0) fma.s1 f35 = f55, f52, f54 - nop.i 999 ;; -} - { .mfb - nop.m 999 -(p0) fmpy.s1 f35 = f35, f53 -// -// Y_hi = T -// Y_lo = T * (W + Wp1*poly) -// -(p12) br.cond.sptk EXPF_MAIN ;; + ldfpd fA4, fA3 = [rTblAddr], 16 + fclass.m p15, p0 = f8 , 0x1e1 // test for NaT,NaN,+Inf +(p13) br.ret.spnt b0 // exit here if x =0.0, result is x } -// -// Branch if expf(x) -// Continue for expf(x-1) -// - -{ .mii -(p0) cmp.lt.unc p12, p13 = 10, r44 - nop.i 999 ;; -// -// Set p12 if 10 < K, Else p13 -// -(p13) cmp.gt.unc p13, p14 = -10, r44 ;; -} -// -// K > 10: Y_lo = Y_lo + neg_2_mK -// K <=10: Set p13 if -10 > K, Else set p14 -// +;; { .mfi -(p13) cmp.eq p15, p0 = r0, r0 -(p14) fadd.s1 f34 = f61, f34 - nop.i 999 ;; + // overflow thresholds + ldfps fMIN_SGL_OFLOW_ARG, fMAX_SGL_NORM_ARG = [rTblAddr], 8 + fma.s1 fXsq = fNormX, fNormX, f0 // x^2 for small path + and rExp_x = rExp_mask, rSignexp_x // Biased exponent of x } - -{ .mfi - nop.m 999 -(p12) fadd.s1 f35 = f35, f61 - nop.i 999 ;; +{ .mlx + nop.m 0 + movl rM1_lim = 0xc1c00000 // Minus -1 limit (-24.0), SP } +;; { .mfi - nop.m 999 -(p13) fadd.s1 f35 = f35, f34 - nop.i 999 + setf.exp fA2 = rExp_half + // x*(64/ln(2)) + Right Shifter + fma.s1 fNint = fNormX, f64DivLn2, fRightShifter + sub rExp_x = rExp_x, rExp_bias // True exponent of x } - { .mfb - nop.m 999 -// -// K <= 10 and K < -10, Set Safe = True -// K <= 10 and K < 10, Y_lo = Y_hi + Y_lo -// K <= 10 and K > =-10, Y_hi = Y_hi + neg_2_mk -// -(p13) mov f34 = f61 -(p0) br.cond.sptk EXPF_MAIN ;; -} -EXPF_SMALL: -{ .mmi -(p12) addl r35 = @ltoff(Constants_exp_64_P#), gp -(p0) addl r34 = @ltoff(Constants_exp_64_Exponents#), gp - nop.i 999 -} -;; - -{ .mmi -(p12) ld8 r35 = [r35] - ld8 r34 = [r34] - nop.i 999 + nop.m 0 +(p15) fma.s.s0 f8 = f8, f1, f0 // result if x = NaT,NaN,+Inf +(p15) br.ret.spnt b0 // exit here if x = NaT,NaN,+Inf } ;; - -{ .mmi -(p13) addl r35 = @ltoff(Constants_exp_64_Q#), gp - nop.m 999 - nop.i 999 -} -;; - - -// -// Return -// K <= 10 and K < 10, Y_hi = neg_2_mk -// -// /*******************************************************/ -// /*********** Branch EXP_SMALL *************************/ -// /*******************************************************/ - { .mfi -(p13) ld8 r35 = [r35] -(p0) mov f42 = f9 -(p0) add r34 = 0x48,r34 + setf.s fMAX_SGL_MINUS_1_ARG = rM1_lim // -1 threshold, -24.0 + nop.f 0 + cmp.gt p7, p8 = -2, rExp_x // Test |x| < 2^(-2) } ;; -// -// Flag = 0 -// r4 = rsq * rsq -// - { .mfi -(p0) ld8 r49 =[r34],0 - nop.f 999 - nop.i 999 ;; +(p7) cmp.gt.unc p6, p7 = -40, rExp_x // Test |x| < 2^(-40) + fma.s1 fA87 = fA8, fNormX, fA7 // Small path, A8*x+A7 + nop.i 0 } - -{ .mii - nop.m 999 - nop.i 999 ;; -// -// Flag = 1 -// -(p0) cmp.lt.unc p14, p0 = r37, r49 ;; -} - { .mfi - nop.m 999 -// -// r = X -// -(p0) fmpy.s1 f48 = f42, f42 - nop.i 999 ;; + nop.m 0 + fma.s1 fA65 = fA6, fNormX, fA5 // Small path, A6*x+A5 + nop.i 0 } +;; { .mfb - nop.m 999 -// -// rsq = r * r -// -(p0) fmpy.s1 f50 = f48, f48 -// -// Is input very small? -// -(p14) br.cond.spnt EXPF_VERY_SMALL ;; -} -// -// Flag_not1: Y_hi = 1.0 -// Flag is 1: r6 = rsq * r4 -// - -{ .mfi -(p12) ldfe f52 = [r35],16 -(p12) mov f34 = f1 -(p0) add r53 = 0x1,r0 ;; -} - -{ .mfi -(p13) ldfe f51 = [r35],16 -// -// Flag_not_1: Y_lo = poly_hi + r4 * poly_lo -// -(p13) mov f34 = f9 - nop.i 999 ;; -} - -{ .mmf -(p12) ldfe f53 = [r35],16 -// -// For Flag_not_1, Y_hi = X -// Scale = 1 -// Create 0x000...01 -// -(p0) setf.sig f37 = r53 -(p0) mov f36 = f1 ;; -} - -{ .mmi -(p13) ldfe f52 = [r35],16 ;; -(p12) ldfe f54 = [r35],16 - nop.i 999 ;; -} - -{ .mfi -(p13) ldfe f53 = [r35],16 -(p13) fmpy.s1 f58 = f48, f50 - nop.i 999 ;; -} -// -// Flag_not1: poly_lo = P_5 + r*P_6 -// Flag_1: poly_lo = Q_6 + r*Q_7 -// - -{ .mmi -(p13) ldfe f54 = [r35],16 ;; -(p12) ldfe f55 = [r35],16 - nop.i 999 ;; -} - -{ .mmi -(p12) ldfe f56 = [r35],16 ;; -(p13) ldfe f55 = [r35],16 - nop.i 999 ;; -} - -{ .mmi -(p12) ldfe f57 = [r35],0 ;; -(p13) ldfe f56 = [r35],16 - nop.i 999 ;; -} - -{ .mfi -(p13) ldfe f57 = [r35],0 - nop.f 999 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -// -// For Flag_not_1, load p5,p6,p1,p2 -// Else load p5,p6,p1,p2 -// -(p12) fma.s1 f60 = f52, f42, f53 - nop.i 999 ;; + nop.m 0 +(p6) fma.s.s0 f8 = f8, f8, f8 // If x < 2^-40, result=x+x*x +(p6) br.ret.spnt b0 // Exit if x < 2^-40 } +;; { .mfi - nop.m 999 -(p13) fma.s1 f60 = f51, f42, f52 - nop.i 999 ;; + nop.m 0 + // check for overflow + fcmp.gt.s1 p15, p14 = fNormX, fMIN_SGL_OFLOW_ARG + nop.i 0 } - { .mfi - nop.m 999 -(p12) fma.s1 f60 = f60, f42, f54 - nop.i 999 ;; + nop.m 0 + fms.s1 fN = fNint, f1, fRightShifter // n in FP register + nop.i 0 } +;; { .mfi - nop.m 999 -(p12) fma.s1 f59 = f56, f42, f57 - nop.i 999 ;; + nop.m 0 +(p7) fma.s1 fA43 = fA4, fNormX, fA3 // Small path, A4*x+A3 + nop.i 0 } +;; { .mfi - nop.m 999 -(p13) fma.s1 f60 = f42, f60, f53 - nop.i 999 ;; + getf.sig rNJ = fNint // bits of n, j +(p7) fma.s1 fA8765 = fA87, fXsq, fA65 // Small path, A87*xsq+A65 + nop.i 0 } - -{ .mfi - nop.m 999 -(p12) fma.s1 f59 = f59, f48, f42 - nop.i 999 ;; +{ .mfb + nop.m 0 +(p7) fma.s1 fX3 = fXsq, fNormX, f0 // Small path, x^3 + // branch out if overflow +(p15) br.cond.spnt EXPM1_CERTAIN_OVERFLOW } +;; { .mfi - nop.m 999 -// -// Flag_1: poly_lo = Q_5 + r*(Q_6 + r*Q_7) -// Flag_not1: poly_lo = P_4 + r*(P_5 + r*P_6) -// Flag_not1: poly_hi = (P_1 + r*P_2) -// -(p13) fmpy.s1 f60 = f60, f58 - nop.i 999 ;; + addl rN = 0xffff-63, rNJ // biased and shifted n + fnma.s1 fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64 + extr.u rJ = rNJ , 0 , 6 // bits of j } +;; { .mfi - nop.m 999 -(p12) fma.s1 f60 = f60, f42, f55 - nop.i 999 ;; + shladd rJ = rJ, 3, rTblAddr // address in the 2^(j/64) table + // check for certain -1 + fcmp.le.s1 p13, p0 = fNormX, fMAX_SGL_MINUS_1_ARG + shr rN = rN, 6 // biased n } - { .mfi - nop.m 999 -// -// Flag_1: poly_lo = r6 *(Q_5 + ....) -// Flag_not1: poly_hi = r + rsq *(P_1 + r*P_2) -// -(p12) fma.s1 f35 = f60, f50, f59 - nop.i 999 + nop.m 0 +(p7) fma.s1 fA432 = fA43, fNormX, fA2 // Small path, A43*x+A2 + nop.i 0 } +;; { .mfi - nop.m 999 -(p13) fma.s1 f59 = f54, f42, f55 - nop.i 999 ;; + ld8 rJ = [rJ] + nop.f 0 + shl rN = rN , 52 // 2^n bits in DP format } +;; -{ .mfi - nop.m 999 -// -// Flag_not1: Y_lo = rsq* poly_hi + poly_lo -// Flag_1: poly_lo = rsq* poly_hi + poly_lo -// -(p13) fma.s1 f59 = f59, f42, f56 - nop.i 999 ;; +{ .mmi + or rN = rN, rJ // bits of 2^n * 2^(j/64) in DP format +(p13) mov rTmp = 1 // Make small value for -1 path + nop.i 0 } +;; { .mfi - nop.m 999 -// -// Flag_not_1: (P_1 + r*P_2) -// -(p13) fma.s1 f59 = f59, f42, f57 - nop.i 999 ;; + setf.d fT = rN // 2^n + // check for possible overflow (only happens if input higher precision) +(p14) fcmp.gt.s1 p14, p0 = fNormX, fMAX_SGL_NORM_ARG + nop.i 0 } - { .mfi - nop.m 999 -// -// Flag_not_1: poly_hi = r + rsq * (P_1 + r*P_2) -// -(p13) fma.s1 f35 = f59, f48, f60 - nop.i 999 ;; + nop.m 0 +(p7) fma.s1 fA8765432 = fA8765, fX3, fA432 // A8765*x^3+A432 + nop.i 0 } +;; { .mfi - nop.m 999 -// -// Create 0.000...01 -// -(p0) for f37 = f35, f37 - nop.i 999 ;; +(p13) setf.exp fTmp = rTmp // Make small value for -1 path + fma.s1 fP = fA3, fR, fA2 // A3*R + A2 + nop.i 0 } - { .mfb - nop.m 999 -// -// Set lsb of Y_lo to 1 -// -(p0) fmerge.se f35 = f35,f37 -(p0) br.cond.sptk EXPF_MAIN ;; -} -EXPF_VERY_SMALL: - -{ .mmi - nop.m 999 -(p13) addl r34 = @ltoff(Constants_exp_64_Exponents#),gp - nop.i 999;; -} - -{ .mfi -(p13) ld8 r34 = [r34]; -(p12) mov f35 = f9 - nop.i 999 ;; + nop.m 0 + fma.s1 fRSqr = fR, fR, f0 // R^2 +(p13) br.cond.spnt EXPM1_CERTAIN_MINUS_ONE // Branch if x < -24.0 } +;; { .mfb - nop.m 999 -(p12) mov f34 = f1 -(p12) br.cond.sptk EXPF_MAIN ;; -} - -{ .mlx -(p13) add r34 = 8,r34 -(p13) movl r39 = 0x0FFFE ;; -} -// -// Load big_exp_neg -// Create 1/2's exponent -// - -{ .mii -(p13) setf.exp f56 = r39 -(p13) shladd r34 = r32,4,r34 ;; - nop.i 999 -} -// -// Negative exponents are stored after positive -// - -{ .mfi -(p13) ld8 r45 = [r34],0 -// -// Y_hi = x -// Scale = 1 -// -(p13) fmpy.s1 f35 = f9, f9 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -// -// Reset Safe if necessary -// Create 1/2 -// -(p13) mov f34 = f9 - nop.i 999 ;; + nop.m 0 +(p7) fma.s.s0 f8 = fA8765432, fXsq, fNormX // Small path, + // result=xsq*A8765432+x +(p7) br.ret.spnt b0 // Exit if 2^-40 <= |x| < 2^-2 } +;; { .mfi -(p13) cmp.lt.unc p0, p15 = r37, r45 -(p13) mov f36 = f1 - nop.i 999 ;; + nop.m 0 + fma.s1 fP = fP, fRSqr, fR // P = (A3*R + A2)*Rsqr + R + nop.i 0 } +;; { .mfb - nop.m 999 -// -// Y_lo = x * x -// -(p13) fmpy.s1 f35 = f35, f56 -// -// Y_lo = x*x/2 -// -(p13) br.cond.sptk EXPF_MAIN ;; -} -EXPF_HUGE: - -{ .mfi - nop.m 999 -(p0) fcmp.gt.unc.s1 p14, p0 = f9, f0 - nop.i 999 -} - -{ .mlx - nop.m 999 -(p0) movl r39 = 0x15DC0 ;; -} - -{ .mfi -(p14) setf.exp f34 = r39 -(p14) mov f35 = f1 -(p14) cmp.eq p0, p15 = r0, r0 ;; + nop.m 0 + fms.s1 fTm1 = fT, f1, f1 // T - 1.0 +(p14) br.cond.spnt EXPM1_POSSIBLE_OVERFLOW } +;; { .mfb - nop.m 999 -(p14) mov f36 = f34 -// -// If x > 0, Set Safe = False -// If x > 0, Y_hi = 2**(24,000) -// If x > 0, Y_lo = 1.0 -// If x > 0, Scale = 2**(24,000) -// -(p14) br.cond.sptk EXPF_MAIN ;; -} - -{ .mlx - nop.m 999 -(p12) movl r39 = 0xA240 -} - -{ .mlx - nop.m 999 -(p12) movl r38 = 0xA1DC ;; -} - -{ .mmb -(p13) cmp.eq p15, p14 = r0, r0 -(p12) setf.exp f34 = r39 - nop.b 999 ;; -} - -{ .mlx -(p12) setf.exp f35 = r38 -(p13) movl r39 = 0xFF9C -} - -{ .mfi - nop.m 999 -(p13) fsub.s1 f34 = f0, f1 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p12) mov f36 = f34 -(p12) cmp.eq p0, p15 = r0, r0 ;; -} - -{ .mfi -(p13) setf.exp f35 = r39 -(p13) mov f36 = f1 - nop.i 999 ;; -} -EXPF_MAIN: - -{ .mfi -(p0) cmp.ne.unc p12, p0 = 0x01, r33 -(p0) fmpy.s1 f101 = f36, f35 - nop.i 999 ;; + nop.m 0 + fma.s.s0 f8 = fP, fT, fTm1 + br.ret.sptk b0 // Result for main path + // minus_one_limit < x < -2^-2 + // and +2^-2 <= x < overflow_limit } +;; +// Here if x unorm +EXPM1_UNORM: { .mfb - nop.m 999 -(p0) fma.s.s0 f99 = f34, f36, f101 -(p15) br.cond.sptk EXPF_64_RETURN ;; -} - -{ .mfi - nop.m 999 -(p0) fsetc.s3 0x7F,0x01 - nop.i 999 -} - -{ .mlx - nop.m 999 -(p0) movl r50 = 0x0000000001007F ;; -} -// -// S0 user supplied status -// S2 user supplied status + WRE + TD (Overflows) -// S3 user supplied status + RZ + TD (Underflows) -// -// -// If (Safe) is true, then -// Compute result using user supplied status field. -// No overflow or underflow here, but perhaps inexact. -// Return -// Else -// Determine if overflow or underflow was raised. -// Fetch +/- overflow threshold for IEEE single, double, -// double extended -// - -{ .mfi -(p0) setf.exp f60 = r50 -(p0) fma.s.s3 f102 = f34, f36, f101 - nop.i 999 -} - -{ .mfi - nop.m 999 -(p0) fsetc.s3 0x7F,0x40 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -// -// For Safe, no need to check for over/under. -// For expm1, handle errors like exp. -// -(p0) fsetc.s2 0x7F,0x42 - nop.i 999;; -} - -{ .mfi - nop.m 999 -(p0) fma.s.s2 f100 = f34, f36, f101 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p0) fsetc.s2 0x7F,0x40 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p7) fclass.m.unc p12, p0 = f102, 0x00F - nop.i 999 -} - -{ .mfi - nop.m 999 -(p0) fclass.m.unc p11, p0 = f102, 0x00F - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p7) fcmp.ge.unc.s1 p10, p0 = f100, f60 - nop.i 999 -} - -{ .mfi - nop.m 999 -// -// Create largest double exponent + 1. -// Create smallest double exponent - 1. -// -(p0) fcmp.ge.unc.s1 p8, p0 = f100, f60 - nop.i 999 ;; + getf.exp rSignexp_x = fNormX // Must recompute if x unorm + fcmp.eq.s0 p6, p0 = f8, f0 // Set D flag + br.cond.sptk EXPM1_COMMON } -// -// fcmp: resultS2 >= + overflow threshold -> set (a) if true -// fcmp: resultS2 <= - overflow threshold -> set (b) if true -// fclass: resultS3 is denorm/unorm/0 -> set (d) if true -// - -{ .mib -(p10) mov GR_Parameter_TAG = 43 - nop.i 999 -(p10) br.cond.sptk __libm_error_region ;; -} - -{ .mib -(p8) mov GR_Parameter_TAG = 16 - nop.i 999 -(p8) br.cond.sptk __libm_error_region ;; -} -// -// Report that exp overflowed -// +;; -{ .mib -(p12) mov GR_Parameter_TAG = 44 - nop.i 999 -(p12) br.cond.sptk __libm_error_region ;; +// here if result will be -1 and inexact, x <= -24.0 +EXPM1_CERTAIN_MINUS_ONE: +{ .mfb + nop.m 0 + fms.s.s0 f8 = fTmp, fTmp, f1 // Result -1, and Inexact set + br.ret.sptk b0 } +;; -{ .mib -(p11) mov GR_Parameter_TAG = 17 - nop.i 999 -(p11) br.cond.sptk __libm_error_region ;; -} +EXPM1_POSSIBLE_OVERFLOW: -{ .mib - nop.m 999 - nop.i 999 -// -// Report that exp underflowed -// -(p0) br.cond.sptk EXPF_64_RETURN ;; -} -EXPF_64_SPECIAL: +// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG +// This cannot happen if input is a single, only if input higher precision. +// Overflow is a possibility, not a certainty. -{ .mfi - nop.m 999 -(p0) fclass.m.unc p6, p0 = f8, 0x0c3 - nop.i 999 -} +// Recompute result using status field 2 with user's rounding mode, +// and wre set. If result is larger than largest single, then we have +// overflow { .mfi - nop.m 999 -(p0) fclass.m.unc p13, p8 = f8, 0x007 - nop.i 999 ;; -} - -{ .mfi - nop.m 999 -(p7) fclass.m.unc p14, p0 = f8, 0x007 - nop.i 999 -} - -{ .mfi - nop.m 999 -(p0) fclass.m.unc p12, p9 = f8, 0x021 - nop.i 999 ;; + mov rGt_ln = 0x1007f // Exponent for largest sgl + 1 ulp + fsetc.s2 0x7F,0x42 // Get user's round mode, set wre + nop.i 0 } +;; { .mfi - nop.m 999 -(p0) fclass.m.unc p11, p0 = f8, 0x022 - nop.i 999 + setf.exp fGt_pln = rGt_ln // Create largest single + 1 ulp + fma.s.s2 fWre_urm_f8 = fP, fT, fTm1 // Result with wre set + nop.i 0 } +;; { .mfi - nop.m 999 -(p7) fclass.m.unc p10, p0 = f8, 0x022 - nop.i 999 ;; + nop.m 0 + fsetc.s2 0x7F,0x40 // Turn off wre in sf2 + nop.i 0 } +;; { .mfi - nop.m 999 -// -// Identify +/- 0, Inf, or -Inf -// Generate the right kind of NaN. -// -(p13) fadd.s.s0 f99 = f0, f1 - nop.i 999 ;; + nop.m 0 + fcmp.ge.s1 p6, p0 = fWre_urm_f8, fGt_pln // Test for overflow + nop.i 0 } +;; -{ .mfi - nop.m 999 -(p14) mov f99 = f8 - nop.i 999 ;; +{ .mfb + nop.m 0 + nop.f 0 +(p6) br.cond.spnt EXPM1_CERTAIN_OVERFLOW // Branch if overflow } +;; { .mfb - nop.m 999 -(p6) fadd.s.s0 f99 = f8, f1 -// -// expf(+/-0) = 1 -// expm1f(+/-0) = +/-0 -// No exceptions raised -// -(p6) br.cond.sptk EXPF_64_RETURN ;; + nop.m 0 + fma.s.s0 f8 = fP, fT, fTm1 + br.ret.sptk b0 // Exit if really no overflow } +;; -{ .mib - nop.m 999 - nop.i 999 -(p14) br.cond.sptk EXPF_64_RETURN ;; +// here if overflow +EXPM1_CERTAIN_OVERFLOW: +{ .mmi + addl rTmp = 0x1FFFE, r0;; + setf.exp fTmp = rTmp + nop.i 999 } +;; { .mfi - nop.m 999 -(p11) mov f99 = f0 - nop.i 999 ;; + alloc r32 = ar.pfs, 0, 3, 4, 0 // get some registers + fmerge.s FR_X = fNormX,fNormX + nop.i 0 } - -{ .mfb - nop.m 999 -(p10) fsub.s.s1 f99 = f0, f1 -// -// expf(-Inf) = 0 -// expm1f(-Inf) = -1 -// No exceptions raised. -// -(p10) br.cond.sptk EXPF_64_RETURN ;; -} - { .mfb - nop.m 999 -(p12) fmpy.s.s1 f99 = f8, f1 -// -// expf(+Inf) = Inf -// No exceptions raised. -// -(p0) br.cond.sptk EXPF_64_RETURN ;; -} -EXPF_64_UNSUPPORTED: - -{ .mfb - nop.m 999 -(p0) fmpy.s.s0 f99 = f8, f0 - nop.b 0;; + mov GR_Parameter_TAG = 43 + fma.s.s0 FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result + br.cond.sptk __libm_error_region } +;; -EXPF_64_RETURN: -{ .mfb - nop.m 999 -(p0) mov f8 = f99 -(p0) br.ret.sptk b0 -} -.endp expm1f -ASM_SIZE_DIRECTIVE(expm1f) +GLOBAL_IEEE754_END(expm1f) -.proc __libm_error_region -__libm_error_region: +LOCAL_LIBM_ENTRY(__libm_error_region) .prologue { .mfi - add GR_Parameter_Y=-32,sp // Parameter 2 value - nop.f 0 + add GR_Parameter_Y=-32,sp // Parameter 2 value + nop.f 999 .save ar.pfs,GR_SAVE_PFS - mov GR_SAVE_PFS=ar.pfs // Save ar.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 + add sp=-64,sp // Create new stack + nop.f 0 + mov GR_SAVE_GP=gp // Save gp };; { .mmi - stfs [GR_Parameter_Y] = FR_Y,16 // Store Parameter 2 on stack - add GR_Parameter_X = 16,sp // Parameter 1 address + stfs [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 + mov GR_SAVE_B0=b0 // Save b0 };; .body -{ .mib - stfs [GR_Parameter_X] = FR_X // Store Parameter 1 on stack - add GR_Parameter_RESULT = 0,GR_Parameter_Y - nop.b 0 // Parameter 3 address +{ .mfi + stfs [GR_Parameter_X] = FR_X // Store Parameter 1 on stack + nop.f 0 + add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address } { .mib - stfs [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 + stfs [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 + add GR_Parameter_RESULT = 48,sp + nop.m 0 + nop.i 0 };; + { .mmi - ldfs f8 = [GR_Parameter_RESULT] // Get return result off stack + ldfs 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 + 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 -};; + 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) +LOCAL_LIBM_END(__libm_error_region) .type __libm_error_support#,@function |