diff options
Diffstat (limited to 'sysdeps/ia64/fpu/libm_atan2_reg.S')
| -rw-r--r-- | sysdeps/ia64/fpu/libm_atan2_reg.S | 1234 |
1 files changed, 1234 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/libm_atan2_reg.S b/sysdeps/ia64/fpu/libm_atan2_reg.S new file mode 100644 index 0000000000..5649670d19 --- /dev/null +++ b/sysdeps/ia64/fpu/libm_atan2_reg.S @@ -0,0 +1,1234 @@ +.file "libm_atan2_reg.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. +// +// Redistribution and use in source and binary forms, with or without +// modification, are permitted provided that the following conditions are +// met: +// +// * Redistributions of source code must retain the above copyright +// notice, this list of conditions and the following disclaimer. +// +// * Redistributions in binary form must reproduce the above copyright +// notice, this list of conditions and the following disclaimer in the +// documentation and/or other materials provided with the distribution. +// +// * 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 +// 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 + +#include "libm_support.h" + +.data + +.align 64 +ASM_TYPE_DIRECTIVE(Constants_atan#,@object) +Constants_atan: +data4 0x54442D18, 0x3FF921FB, 0x248D3132, 0x3E000000 +// double pi/2, single lo_pi/2, two**(-3) +data4 0xAAAAAAA3, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // P_1 +data4 0xCCCC54B2, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // P_2 +data4 0x47E4D0C2, 0x92492492, 0x0000BFFC, 0x00000000 // P_3 +data4 0x58870889, 0xE38E38E0, 0x00003FFB, 0x00000000 // P_4 +data4 0x290149F8, 0xBA2E895B, 0x0000BFFB, 0x00000000 // P_5 +data4 0x250F733D, 0x9D88E6D4, 0x00003FFB, 0x00000000 // P_6 +data4 0xFB8745A0, 0x884E51FF, 0x0000BFFB, 0x00000000 // P_7 +data4 0x394396BD, 0xE1C7412B, 0x00003FFA, 0x00000000 // P_8 +data4 0xAAAAA52F, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // Q_1 +data4 0xC75B60D3, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // Q_2 +data4 0x011F1940, 0x924923AD, 0x0000BFFC, 0x00000000 // Q_3 +data4 0x2A5F89BD, 0xE36F716D, 0x00003FFB, 0x00000000 // Q_4 +// Entries Tbl_hi (double precision) +// B = 1+Index/16+1/32 Index = 0 +// Entries Tbl_lo (single precision) +// B = 1+Index/16+1/32 Index = 0 +data4 0xA935BD8E, 0x3FE9A000, 0x23ACA08F, 0x00000000 +// Entries Tbl_hi (double precision) Index = 0,1,...,15 +// B = 2^(-1)*(1+Index/16+1/32) +// Entries Tbl_lo (single precision) +// Index = 0,1,...,15 B = 2^(-1)*(1+Index/16+1/32) +data4 0x7F175A34, 0x3FDE77EB, 0x238729EE, 0x00000000 +data4 0x73C1A40B, 0x3FE0039C, 0x249334DB, 0x00000000 +data4 0x5B5B43DA, 0x3FE0C614, 0x22CBA7D1, 0x00000000 +data4 0x88BE7C13, 0x3FE1835A, 0x246310E7, 0x00000000 +data4 0xE2CC9E6A, 0x3FE23B71, 0x236210E5, 0x00000000 +data4 0x8406CBCA, 0x3FE2EE62, 0x2462EAF5, 0x00000000 +data4 0x1CD41719, 0x3FE39C39, 0x24B73EF3, 0x00000000 +data4 0x5B795B55, 0x3FE44506, 0x24C11260, 0x00000000 +data4 0x5BB6EC04, 0x3FE4E8DE, 0x242519EE, 0x00000000 +data4 0x1F732FBA, 0x3FE587D8, 0x24D4346C, 0x00000000 +data4 0x115D7B8D, 0x3FE6220D, 0x24ED487B, 0x00000000 +data4 0x920B3D98, 0x3FE6B798, 0x2495FF1E, 0x00000000 +data4 0x8FBA8E0F, 0x3FE74897, 0x223D9531, 0x00000000 +data4 0x289FA093, 0x3FE7D528, 0x242B0411, 0x00000000 +data4 0x576CC2C5, 0x3FE85D69, 0x2335B374, 0x00000000 +data4 0xA99CC05D, 0x3FE8E17A, 0x24C27CFB, 0x00000000 +// +// Entries Tbl_hi (double precision) Index = 0,1,...,15 +// B = 2^(-2)*(1+Index/16+1/32) +// Entries Tbl_lo (single precision) +// Index = 0,1,...,15 B = 2^(-2)*(1+Index/16+1/32) +// +data4 0x510665B5, 0x3FD025FA, 0x24263482, 0x00000000 +data4 0x362431C9, 0x3FD1151A, 0x242C8DC9, 0x00000000 +data4 0x67E47C95, 0x3FD20255, 0x245CF9BA, 0x00000000 +data4 0x7A823CFE, 0x3FD2ED98, 0x235C892C, 0x00000000 +data4 0x29271134, 0x3FD3D6D1, 0x2389BE52, 0x00000000 +data4 0x586890E6, 0x3FD4BDEE, 0x24436471, 0x00000000 +data4 0x175E0F4E, 0x3FD5A2E0, 0x2389DBD4, 0x00000000 +data4 0x9F5FA6FD, 0x3FD68597, 0x2476D43F, 0x00000000 +data4 0x52817501, 0x3FD76607, 0x24711774, 0x00000000 +data4 0xB8DF95D7, 0x3FD84422, 0x23EBB501, 0x00000000 +data4 0x7CD0C662, 0x3FD91FDE, 0x23883A0C, 0x00000000 +data4 0x66168001, 0x3FD9F930, 0x240DF63F, 0x00000000 +data4 0x5422058B, 0x3FDAD00F, 0x23FE261A, 0x00000000 +data4 0x378624A5, 0x3FDBA473, 0x23A8CD0E, 0x00000000 +data4 0x0AAD71F8, 0x3FDC7655, 0x2422D1D0, 0x00000000 +data4 0xC9EC862B, 0x3FDD45AE, 0x2344A109, 0x00000000 +// +// Entries Tbl_hi (double precision) Index = 0,1,...,15 +// B = 2^(-3)*(1+Index/16+1/32) +// Entries Tbl_lo (single precision) +// Index = 0,1,...,15 B = 2^(-3)*(1+Index/16+1/32) +// +data4 0x84212B3D, 0x3FC068D5, 0x239874B6, 0x00000000 +data4 0x41060850, 0x3FC16465, 0x2335E774, 0x00000000 +data4 0x171A535C, 0x3FC25F6E, 0x233E36BE, 0x00000000 +data4 0xEDEB99A3, 0x3FC359E8, 0x239680A3, 0x00000000 +data4 0xC6092A9E, 0x3FC453CE, 0x230FB29E, 0x00000000 +data4 0xBA11570A, 0x3FC54D18, 0x230C1418, 0x00000000 +data4 0xFFB3AA73, 0x3FC645BF, 0x23F0564A, 0x00000000 +data4 0xE8A7D201, 0x3FC73DBD, 0x23D4A5E1, 0x00000000 +data4 0xE398EBC7, 0x3FC8350B, 0x23D4ADDA, 0x00000000 +data4 0x7D050271, 0x3FC92BA3, 0x23BCB085, 0x00000000 +data4 0x601081A5, 0x3FCA217E, 0x23BC841D, 0x00000000 +data4 0x574D780B, 0x3FCB1696, 0x23CF4A8E, 0x00000000 +data4 0x4D768466, 0x3FCC0AE5, 0x23BECC90, 0x00000000 +data4 0x4E1D5395, 0x3FCCFE65, 0x2323DCD2, 0x00000000 +data4 0x864C9D9D, 0x3FCDF110, 0x23F53F3A, 0x00000000 +data4 0x451D980C, 0x3FCEE2E1, 0x23CCB11F, 0x00000000 +data4 0x54442D18, 0x400921FB, 0x33145C07, 0x3CA1A626 // I two doubles +data4 0x54442D18, 0x3FF921FB, 0x33145C07, 0x3C91A626 // I_by_2 two dbls +data4 0x54442D18, 0x3FE921FB, 0x33145C07, 0x3C81A626 // I_by_4 two dbls +data4 0x7F3321D2, 0x4002D97C, 0x4C9E8A0A, 0x3C9A7939 // 3I_by_4 two dbls +ASM_SIZE_DIRECTIVE(Constants_atan#) +.section .text + +.proc __libm_atan2_reg# +.global __libm_atan2_reg# +.align 64 +__libm_atan2_reg: + + +{ .mfi + alloc r32 = ar.pfs,0,20,4,0 +(p0) mov f32 = f8 + nop.i 0 +} +{ .mmi + nop.m 0 +(p0) addl r39 = @ltoff(Constants_atan#), gp + nop.i 999 +} +;; + +{ .mmi + ld8 r39 = [r39] + nop.m 999 + nop.i 999 +} +;; + +{ .mfi + nop 999 // EMbo added ... +(p0) mov f33 = f9 + nop.i 0 + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.nm.unc p9,p0 = f32 ,0x1FF + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.nm.unc p8,p0 = f33 ,0x1FF + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p6,p0 = f33 ,0x103 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p7,p0 = f32 ,0x103 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p12,p0 = f33 ,0x0C3 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// Check for NatVals. +// Check for EM Unsupporteds +// Check for NaNs. +// +(p0) fclass.m.unc p13,p0 = f32 ,0x0C3 +(p6) br.cond.sptk L(ATAN_NATVAL);; + } { .mbb + nop 999 // EMbo added ... +(p7) br.cond.sptk L(ATAN_NATVAL) +(p8) br.cond.sptk L(ATAN_UNSUPPORTED);; + } { .mib +(p0) add r40 = 96, r39 + nop 999 // EMbo added ... +(p9) br.cond.sptk L(ATAN_UNSUPPORTED);; + } { .mib +(p0) ldfd f50 = [r39],8 + nop 999 // EMbo added ... +(p12) br.cond.sptk L(ATAN_NAN);; + } { .mfb + nop 999 // EMbo added ... +(p0) fnorm.s1 f33 = f33 +(p13) br.cond.sptk L(ATAN_NAN);; + } { .mfi +(p0) ldfs f51 = [r39],4 +// +// Remove sign bits from exponents +// Load 2**(-3) +// Normalize the input argument. +// +(p0) fnorm.s1 f32 = f32 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) mov f82 = f1 + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +(p0) ldfs f78 = [r39],180 + nop 999;; // EMbo added ... + } { .mmi +(p0) getf.exp r36 = f33;; +// +// Get exp and sign of ArgX +// Get exp and sign of ArgY +// Load 2**(-3) and increment ptr to Q_4. +// +(p0) getf.exp r37 = f32 +(p0) shr.u r36 = r36,17;; + } { .mfi + nop 999 // EMbo added ... +(p0) fmerge.s f84 = f1,f32 +(p0) shr.u r37 = r37,17;; + } { .mfi + nop 999 // EMbo added ... +// +// ArgX_abs = |ArgX| +// ArgY_abs = |ArgY| +// sign_X is sign bit of ArgX +// sign_Y is sign bit of ArgY +// +(p0) fmerge.s f83 = f1,f33 +(p0) cmp.eq.unc p8,p9 = 0x00000, r37;; + } { .mfi + nop 999 // EMbo added ... +(p8) fadd.s1 f34 = f0, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p9) fsub.s1 f34 = f0, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmin.s1 f36 = f83, f84 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmax.s1 f35 = f83, f84 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// Is ArgX_abs >= ArgY_abs +// Is sign_Y == 0? +// +(p0) fcmp.ge.s1 p6,p7 = f83,f84 + nop 999;; // EMbo added ... + } { .mii +(p6) cmp.eq.unc p10, p11 = 0x00000, r36 +(p6) add r38 = r0, r0;; +// +// U = max(ArgX_abs,ArgY_abs) +// V = min(ArgX_abs,ArgY_abs) +// if p6, swap = 0 +// if p7, swap = 1 +// +// +// Let M = 1.0 +// if p8, s_Y = 1.0 +// if p9, s_Y = -1.0 +// +(p7) add r38 = 1,r0;; + } { .mfi + nop 999 // EMbo added ... +(p0) frcpa.s1 f37, p6 = f36, f35 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// E = frcpa(V,U) +// +(p10) fsub.s1 f82 = f82, f1 +(p6) br.cond.sptk L(ATAN_STEP2);; + } { .mib + nop 999 // EMbo added ... + nop 999 // EMbo added ... +// /**************************************************/ +// /********************* STEP2 **********************/ +// /**************************************************/ +(p0) br.cond.spnt L(ATAN_SPECIAL_HANDLING);; + } +L(ATAN_STEP2): + { .mlx + nop 999 // EMbo added ... +(p0) movl r47 = 0x8400000000000000 + } { .mlx + nop 999 // EMbo added ... +(p0) movl r48 = 0x0000000000000100;; + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f38 = f37, f36 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fcmp.lt.unc.s0 p0,p9 = f9,f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fcmp.lt.unc.s0 p0,p8 = f8,f1 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// Q = E * V +// +(p11) fadd.s1 f82 = f82, f1 + nop 999;; // EMbo added ... + } { .mfi +(p0) getf.sig r46 = f38 +(p0) fcmp.lt.unc p6,p7 = f38,f78 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f38 = f37, f36 +(p0) extr.u r42 = r46, 59, 4;; + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f50 = f82, f50 +(p0) dep r47 = r42, r47, 59, 4 + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f51 = f82, f51 + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +// +// Is Q < 2**(-3)? +// +// +// Do fcmp to raise any denormal operand +// exceptions. +// +(p0) getf.exp r45 = f38 + nop 999;; // EMbo added ... + } { .mib +// +// lookup = b_1 b_2 b_3 B_4 +// +// +// Generate 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0 +// +(p0) andcm r41 = 0x0003, r45 + nop 999 // EMbo added ... +// +// We waited a few extra cycles so P_lo and P_hi could be calculated. +// Load the constant 256 for loading up table entries. +// +// /**************************************************/ +// /********************* STEP3 **********************/ +// /**************************************************/ +(p6) br.cond.spnt L(ATAN_POLY);; + } { .mii +(p0) setf.sig f39 = r47 +(p0) cmp.eq.unc p8, p9 = 0x0000, r41 +// +// z_hi = s exp 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0 +// point to beginning of Tbl_hi entries - k = 0. +// +(p0) add r40 = 16, r39 + } { .mmi +(p0) ldfe f73 = [r39],-16;; +(p9) sub r41 = r41,r0,1 +(p9) add r40 = 16,r40 + } { .mfi +(p8) ldfd f48 = [r40],8 +(p0) fmpy.s1 f50 = f34, f50 +(p0) xor r38 = r36,r38;; + } { .mmi +(p0) ldfe f71 = [r39],-16;; +(p8) ldfs f49 = [r40],8 +(p9) pmpy2.r r41 = r41,r48;; + } { .mfi +(p0) ldfe f69 = [r39],-16 +// +// Let z_hi have exponent and sign of original Q +// Load the Tbl_hi(0) else, increment pointer. +// +(p0) fmerge.se f39 = f38,f39 +(p9) shladd r42 = r42,0x0004,r41;; + } { .mmi +(p9) add r40 = r40, r42;; +(p9) ldfd f48 = [r40],8 + nop 999;; // EMbo added ... + } { .mmi +(p0) ldfe f67 = [r39],-16;; +(p9) ldfs f49 = [r40],8 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// U_prime_hi = U + V * z_hi +// Load the Tbl_lo(0) +// +(p0) fma.s1 f40 = f36, f39, f35 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fnma.s1 f42 = f35, f39, f36 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) mov f52 = f48 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) frcpa.s1 f43, p6 = f1, f40 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// U_prime_lo = U - U_prime_hi +// k = k * 256 - result can be 0, 256, or 512. +// +(p0) fsub.s1 f41 = f35, f40 +(p0) cmp.eq.unc p7, p6 = 0x00000, r38 + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f52 = f34, f52 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p7) fadd.s1 f54 = f0, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fsub.s1 f54 = f0, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fnma.s1 f80 = f43, f40, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.s1 f79 = f41, f40 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f41 = f36, f39, f41 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f56 = f54, f52, f50 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f43 = f80, f43, f43 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// U_prime_lo = U - U_hold +// lookup -> lookup * 16 + k +// +// +// V_prime = V - U * z_hi +// U_prime_lo = V * z_hi + U_prime_lo +// +(p0) fsub.s1 f79 = f35, f79 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fnma.s1 f80 = f43, f40, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// C_hi = frcpa(1,U_prime_hi) +// U_prime_lo = U_prime_lo + U_hold +// +// +// C_hi_hold = 1 - C_hi * U_prime_hi (1) +// +// +// C_hi = C_hi + C_hi * C_hi_hold (1) +// +// +// C_hi_hold = 1 - C_hi * U_prime_hi (2) +// +(p0) fadd.s1 f41 = f41, f79 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// C_hi = C_hi + C_hi * C_hi_hold (2) +// +(p0) fma.s1 f43 = f80, f43, f43 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// C_hi_hold = 1 - C_hi * U_prime_hi (3) +// +(p0) fnma.s1 f80 = f43, f40, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// C_hi = C_hi + C_hi * C_hi_hold (3) +// +(p0) fma.s1 f43 = f80, f43, f43 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// w_hi = V_prime * C_hi +// +(p0) fmpy.s1 f44 = f42, f43 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f46 = f44, f44 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// wsq = w_hi * w_hi +// w_lo = = V_prime - w_hi * U_prime_hi +// +(p0) fnma.s1 f45 = f44, f40, f42 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f47 = f46, f73, f71 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly = Q_3 + wsq * Q_4 +// w_lo = = w_lo - w_hi * U_prime_lo +// +(p0) fnma.s1 f45 = f44, f41, f45 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f47 = f46, f47, f69 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly = Q_2 + wsq * poly +// w_lo = = w_lo * C_hi +// +(p0) fmpy.s1 f45 = f43, f45 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f47 = f46, f47, f67 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly = Q_1 + wsq * poly +// A_lo = Tbl_lo + w_lo +// swap = xor(swap,sign_X) +// +(p0) fadd.s1 f53 = f49, f45 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// Is (swap) != 0 ? +// poly = wsq * poly +// A_hi = Tbl_hi +// +(p0) fmpy.s1 f47 = f46, f47 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly = wsq * poly +// +// +// if (p6) sigma = -1.0 +// if (p7) sigma = 1.0 +// +(p0) fmpy.s1 f47 = f44, f47 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// P_hi = s_Y * P_hi +// A_lo = A_lo + poly +// +(p0) fadd.s1 f53 = f53, f47 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// A_lo = A_lo + w_hi +// A_hi = s_Y * A_hi +// +(p0) fadd.s1 f53 = f53, f44 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// result_hi = P_hi + sigma * A_hi +// result_lo = P_lo + sigma * A_lo +// +(p0) fma.s1 f55 = f54, f53, f51 +(p0) br.cond.sptk L(RETURN_ATAN);; +} +// +// result = result_hi + result_lo * s_Y (User Supplied Rounding Mode) +// +// (p0) fma.d.s0 f57 = f55, f34, f56 +// +// /**************************************************/ +// /********************* STEP4 **********************/ +// /**************************************************/ +// +L(ATAN_POLY): +{ .mmi +(p0) xor r38 = r36,r38 +(p0) addl r39 = @ltoff(Constants_atan#), gp + nop.i 999 +} +;; + +{ .mmi + ld8 r39 = [r39] + nop.m 999 + nop.i 999 +} +;; + + +{ .mlx + nop 999 // EMbo added ... +(p0) movl r47 = 0x24005;; + } { .mfi +(p0) add r39 = 128, r39 +(p0) fnma.s1 f81 = f37, f35, f1 +(p0) cmp.eq.unc p7, p6 = 0x00000, r38;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f77 = [r39],-16 +// +// Iterate 3 times E = E + E*(1.0 - E*U) +// Also load P_8, P_7, P_6, P_5, P_4 +// E_hold = 1.0 - E * U (1) +// A_temp = Q +// +(p0) mov f85 = f38;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f76 = [r39],-16 +(p6) fsub.s1 f54 = f0, f1;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f75 = [r39],-16 +// +// E = E + E_hold*E (1) +// Point to P_8. +// +(p0) fma.s1 f37 = f37, f81, f37;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f74 = [r39],-16 +(p0) fnma.s1 f64 = f85, f35, f36;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f72 = [r39],-16 +(p7) fadd.s1 f54 = f0, f1;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f70 = [r39],-16 +// +// E_hold = 1.0 - E * U (2) +// +(p0) fnma.s1 f81 = f37, f35, f1;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f68 = [r39],-16 +(p0) fmpy.s1 f50 = f34, f50;; + } { .mmf + nop 999 // EMbo added ... +(p0) ldfe f66 = [r39],-16 +(p0) fmpy.d.s0 f67 = f67, f67 + } { .mfi + nop 999 // EMbo added ... +// +// E = E + E_hold*E (2) +// +(p0) fma.s1 f37 = f37, f81, f37 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// E_hold = 1.0 - E * U (3) +// +(p0) fnma.s1 f81 = f37, f35, f1 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// E = E + E_hold*E (3) +// At this point E approximates 1/U to roughly working precision +// z = V*E approximates V/U +// +(p0) fma.s1 f37 = f37, f81, f37 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// z = V * E +// +(p0) fmpy.s1 f59 = f36, f37 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f64 = f64, f37 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// zsq = z * z +// Also load P_3 +// +(p0) fmpy.s1 f60 = f59, f59 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.s1 f52 = f85, f64 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f62 = f60, f77, f76 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f63 = f60, f70, f68 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// z8 = zsq * zsq +// Also load P_2 +// +(p0) fmpy.s1 f61 = f60, f60 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fsub.s1 f85 = f85, f52 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmerge.s f65 = f52,f52 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f62 = f60, f62, f75 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f63 = f60, f63, f66 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// z8 = z8 * z8 +// Also load P_1 +// poly1 = _4 + zsq*(P_5 + zsq*(P_6 + zsq*(P_7 + zsq*P_8))) +// poly2 = zsq*(P_1 + zsq*(P_2 + zsq*P_3)) +// +// +// poly1 = P_7 + zsq * P_8 +// poly2 = P_2 + zsq * P_3 +// poly1 = P_4 + zsq*(P_5 + zsq*(P_6 + zsq*poly1)) +// poly2 = zsq*(P_1 + zsq*poly2) +// +// +// poly1 = P_6 + zsq * poly1 +// poly2 = P_1 + zsq * poly2 +// poly1 = P_4 + zsq*(P_5 + zsq*poly1) +// poly2 = zsq*poly2 +// +(p0) fmpy.s1 f61 = f61, f61 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.s1 f64 = f85, f64 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f62 = f60, f62, f74 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly1 = P_5 + zsq * poly1 +// poly2 = zsq * poly2 +// poly1 = P_4 + zsq*poly1 +// +(p0) fmpy.s1 f63 = f63, f60 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly1 = P_4 + zsq * poly1 +// swap = xor(swap,sign_X) +// +(p0) fma.s1 f62 = f60, f62, f72 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// poly = z8*poly1 + poly2 (Typo in writeup) +// Is (swap) != 0 ? +// +// +// z_lo = V - A_temp * U +// if (p7) sigma = 1.0 +// Writeup shows A_temp as A_hi +// +// +// z_lo = z_lo * E +// if (p6) sigma = -1.0 +// z_lo = (V - A_temp * U) *E +// +// +// Fixup added to force inexact later - +// A_hi = A_temp + z_lo +// z_lo = (A_temp - A_hi) + z_lo +// z_lo = A_hi - z_lo -A_hi + z_lo = about 0 +// +(p0) fma.s1 f47 = f61, f62, f63 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// A_lo = z * poly + z_lo +// +(p0) fma.s1 f53 = f59, f47, f64 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.s1 f52 = f65, f53 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fsub.s1 f65 = f65, f52 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fmpy.s1 f52 = f34, f52 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.s1 f53 = f65, f53 + nop 999 // EMbo added ... + } { .mfi +(p0) setf.exp f65 = r47 +(p0) fma.s1 f56 = f54, f52, f50 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p6,p0 = f53,0x007 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// P_hi = s_Y * P_hi +// A_hi = s_Y * A_hi +// +// +// result_hi = P_hi + sigma * A_hi +// +(p6) mov f53 = f65 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// tmp = P_hi - result_hi +// +(p0) fsub.s1 f65 = f50, f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fma.s1 f65 = f52, f54, f65 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// tmp = sigma * A_hi + tmp +// sigma = A_lo * sigma + P_lo +// +(p0) fma.s1 f54 = f53, f54, f51 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// result_lo = s_Y * sigma + tmp +// +(p0) fma.s1 f55 = f34, f54, f65 + nop 999;; // EMbo added ... + } { .mfb + nop.m 0 + mov f34 = f1 +(p0) br.cond.sptk L(RETURN_ATAN);; +} +// +// result = result_hi + result_lo (User Supplied Rounding Mode) +// +// (p0) fadd.d.s0 f57 = f55, f56 +L(ATAN_UNSUPPORTED): +L(ATAN_NATVAL): + { .mfb + nop 999 // EMbo added ... +// +// Deal with the NatVal and unsupported cases. +// Raise invalid if warrented. +// +(p0) fmpy.d.s0 f57 = f8, f9 +br.cond.sptk L(RETURN_ATAN);; + } +L(ATAN_NAN): + { .mfb + nop 999 // EMbo added ... +// +// If only one NaN, then generate the resulting +// NaN and return - may raise invalid. +// +(p0) fmpy.d.s0 f57 = f8, f9 +(p0) br.cond.sptk L(RETURN_ATAN);; + } +L(ATAN_SPECIAL_HANDLING): + + { .mmf +(p0) addl r39 = @ltoff(Constants_atan#), gp + nop.m 999 +(p0) fcmp.lt.s0 p0,p7 = f8,f1 + } +;; + +// +// Raise denormal operand faults if necessary +// + +{ .mfi + ld8 r39 = [r39] +(p0) fcmp.lt.s0 p0,p6 = f9,f1 + nop 999;; // EMbo added ... +} +;; + + + +{ .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p6,p7 = f32,0x007 + nop 999;; // EMbo added ... + } { .mlx + nop 999 // EMbo added ... +(p0) movl r47 = 992;; + } { .mib +(p0) add r39 = r39, r47 + nop 999 // EMbo added ... +(p7) br.cond.sptk L(ATAN_ArgY_Not_ZERO);; + } { .mfi + nop 999 // EMbo added ... +(p6) fclass.m.unc p14,p0 = f33,0x035 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fclass.m.unc p15,p0 = f33,0x036 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fclass.m.unc p13,p0 = f33,0x007 + nop 999 // EMbo added ... + } { .mfi +(p0) ldfd f56 = [r39],8 + nop 999 // EMbo added ... + nop 999;; // EMbo added ... + } { .mfi +(p0) ldfd f55 = [r39],-8 +(p14) fmerge.s f56 = f32,f0 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// Return sign_Y * 0 when Y = +/-0 and X > 0 +// +(p14) fmerge.s f55 = f32,f0 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p15) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// Return sign_Y * PI when X < -0 +// +// +(p15) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fadd.d.s0 f57 = f56,f55 + nop.i 0 + } { .bbb +// +// Call error support function for atan(0,0) +// - expected value already computed. +// + nop.b 0 + nop.b 0 +(p0) br.cond.sptk L(RETURN_ATAN) + } +L(ATAN_ArgY_Not_ZERO): + { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p9,p10 = f32,0x023 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +(p9) fclass.m.unc p6,p0 = f33,0x017 +(p10) br.cond.sptk L(ATAN_ArgY_Not_INF);; + } { .mfi +(p6) add r39 = 16,r39 +(p9) fclass.m.unc p7,p0 = f33,0x021 + nop 999;; // EMbo added ... + } { .mmf + nop 999 // EMbo added ... +(p0) ldfd f56 = [r39],8 +(p9) fclass.m.unc p8,p0 = f33,0x022;; + } { .mbb +(p0) ldfd f55 = [r39],-8 + nop 999 // EMbo added ... + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// Load I/2 and adjust its sign. +// Return +I/2 when ArgY = +Inf and ArgX = +/-0,normal +// Return -I/2 when ArgY = -Inf and ArgX = +/-0,normal +// +(p6) fadd.d.s0 f57 = f56, f55 +(p6) br.cond.sptk L(RETURN_ATAN);; + } { .mmi +(p7) add r39 = 32,r39;; +(p7) ldfd f56 = [r39],8 + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +(p7) ldfd f55 = [r39],-8 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p7) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p7) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// Load PI/4 and adjust its sign. +// Return +PI/4 when ArgY = +Inf and ArgX = +Inf +// Return -PI/4 when ArgY = -Inf and ArgX = +Inf +// +(p7) fadd.d.s0 f57 = f56, f55 +(p7) br.cond.sptk L(RETURN_ATAN);; + } { .mmi +(p8) add r39 = 48,r39;; +(p8) ldfd f56 =[r39],8 + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +(p8) ldfd f55 =[r39],-8 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p8) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p8) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// Load I/4 and adjust its sign. +// Return +3I/4 when ArgY = +Inf and ArgX = -Inf +// Return -3I/4 when ArgY = -Inf and ArgX = -Inf +// +(p8) fadd.d.s0 f57 = f56, f55 +(p8) br.cond.sptk L(RETURN_ATAN);; + } +L(ATAN_ArgY_Not_INF): + { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p6,p0 = f33,0x007 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p7,p0 = f33,0x021 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p0) fclass.m.unc p8,p0 = f33,0x022 +(p6) add r39 = 16,r39;; + } { .mfi +(p6) ldfd f56 =[r39],8 + nop 999 // EMbo added ... + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +(p6) ldfd f55 =[r39],-8 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p6) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// return = sign_Y * I/2 when ArgX = +/-0 +// +(p6) fadd.d.s0 f57 = f56, f55 +(p6) br.cond.sptk L(RETURN_ATAN);; + } { .mfi + nop 999 // EMbo added ... +(p7) fmerge.s f56 = f32,f0 + nop 999 // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p7) fmerge.s f55 = f32,f0 + nop 999;; // EMbo added ... + } { .mfb + nop 999 // EMbo added ... +// +// return = sign_Y * 0 when ArgX = Inf +// +(p7) fadd.d.s0 f57 = f56, f55 +(p7) br.cond.sptk L(RETURN_ATAN);; + } { .mfi +(p8) ldfd f56 = [r39],8 + nop 999 // EMbo added ... + nop 999;; // EMbo added ... + } { .mmi + nop 999;; // EMbo added ... +(p8) ldfd f55 = [r39],-8 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p8) fmerge.s f56 = f32,f56 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +(p8) fmerge.s f55 = f32,f55 + nop 999;; // EMbo added ... + } { .mfi + nop 999 // EMbo added ... +// +// return = sign_Y * I when ArgX = -Inf +// +(p8) fadd.d.s0 f57 = f56, f55 + nop 999 // EMbo added ... + };; +L(RETURN_ATAN): +// mov f8 = f57 ;; +// The answer is in f57. +// But Z_hi is f56 +// Z_lo is f55 +// s_Y is f34 +// W is in f9 and untouched + +{ .mfi + nop 999 +mov f8 = f56 + nop.i 0 +};; + +{ .mfi + nop 999 +mov f10 = f55 + nop.i 999 +} +{ .mfb + nop 999 +mov f11 = f34 +br.ret.sptk b0 +};; + +.endp __libm_atan2_reg +ASM_SIZE_DIRECTIVE(__libm_atan2_reg) |