Annotation of Net2/arch/tahoe/math/katanf.s, revision 1.1.1.1

1.1       root        1: /*-
                      2:  * Copyright (c) 1985 The Regents of the University of California.
                      3:  * All rights reserved.
                      4:  *
                      5:  * This code is derived from software contributed to Berkeley by
                      6:  * Computer Consoles Inc.
                      7:  *
                      8:  * Redistribution and use in source and binary forms, with or without
                      9:  * modification, are permitted provided that the following conditions
                     10:  * are met:
                     11:  * 1. Redistributions of source code must retain the above copyright
                     12:  *    notice, this list of conditions and the following disclaimer.
                     13:  * 2. Redistributions in binary form must reproduce the above copyright
                     14:  *    notice, this list of conditions and the following disclaimer in the
                     15:  *    documentation and/or other materials provided with the distribution.
                     16:  * 3. All advertising materials mentioning features or use of this software
                     17:  *    must display the following acknowledgement:
                     18:  *     This product includes software developed by the University of
                     19:  *     California, Berkeley and its contributors.
                     20:  * 4. Neither the name of the University nor the names of its contributors
                     21:  *    may be used to endorse or promote products derived from this software
                     22:  *    without specific prior written permission.
                     23:  *
                     24:  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
                     25:  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
                     26:  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
                     27:  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
                     28:  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
                     29:  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
                     30:  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
                     31:  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
                     32:  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
                     33:  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
                     34:  * SUCH DAMAGE.
                     35:  *
                     36:  *     @(#)Katanf.s    7.1 (Berkeley) 12/6/90
                     37:  */
                     38: 
                     39: #include "../tahoe/SYS.h"
                     40: 
                     41:        .text
                     42: ENTRY(Katanf, 0)
                     43:        tstl    4(fp)                   # if (arg > 0)
                     44:        jleq    1f
                     45:        pushl   20(fp)                  # hfs
                     46:        pushl   8(fp)
                     47:        pushl   4(fp)
                     48:        callf   $16,satan
                     49:        ret                             # return(satan(arg));
                     50: 1:                                     # else
                     51:        pushl   20(fp)                  # hfs
                     52:        lnd     4(fp)
                     53:        pushd
                     54:        callf   $16,satan
                     55:        lnf     r0
                     56:        stf     r0
                     57:        ret                             # return(-satan(-arg));
                     58: 
                     59: ASENTRY(satan, R2|R3)
                     60:        subl3   $60,fp,sp
                     61:        cmpd2   4(fp),_sq2m1            # if (arg < sq2m1)
                     62:        jgeq    1f
                     63:        pushl   12(fp)                  # hfs
                     64:        pushl   8(fp)
                     65:        pushl   4(fp)
                     66:        callf   $16,xatan
                     67:        ret                             # return(xatan(arg));
                     68: 1:
                     69:        cmpd2   4(fp),_sq2p1            # else if (arg > sq2p1)
                     70:        jgtr    9f
                     71:        pushl   12(fp)                  # hfs
                     72:        ldd     one; pushd
                     73:        ldd     4(fp); pushd
                     74:        callf   $24,_Kaddd              # (arg+1.0)
                     75:        pushl   12(fp)                  # hfs of _Kdivd
                     76:        pushl   r1
                     77:        pushl   r0
                     78:        pushl   12(fp)                  # hfs
                     79:        ldd     one; pushd
                     80:        ldd     4(fp); pushd
                     81:        callf   $24,_Ksubd              # (arg-1.0)
                     82:        pushl   r1
                     83:        pushl   r0
                     84:        callf   $24,_Kdivd              # (arg-1.0)/(arg+1.0)
                     85:        pushl   12(fp)                  # hfs
                     86:        pushl   r1
                     87:        pushl   r0
                     88:        callf   $16,xatan               # xatan((ag-1.0)/(arg+1.0))
                     89:        pushl   12(fp)                  # hfs
                     90:        pushl   r1
                     91:        pushl   r0
                     92:        ldd     _pio4; pushd
                     93:        callf   $24,_Kaddd
                     94:        ldd     r0; cvdf; stf r0
                     95:        ret                             # return(pio4+xatan((xatan(...)));
                     96: 
                     97: 9:
                     98:        pushl   12(fp)  
                     99:        ldd     4(fp); pushd
                    100:        ldd     one; pushd
                    101:        callf   $24,_Kdivd              # (1.0/arg)
                    102:        pushl   12(fp)                  # hfs
                    103:        ldd     r0; pushd
                    104:        callf   $16,xatan
                    105:                                        # clrl  -60+4(fp)
                    106:                                        # movl  r0,-60(fp)
                    107:        pushl   12(fp)                  # hfs
                    108:        ldd     r0; pushd
                    109:        ldd     _pio2; pushd
                    110:        callf   $24,_Ksubd
                    111:        ldd     r0; cvdf; stf r0
                    112:        ret
                    113: 
                    114: ASENTRY(xatan, 0)
                    115:        subl3   $68,fp,sp
                    116:        pushl   12(fp)                  # hfs
                    117:        ldd     4(fp); pushd; pushd
                    118:        callf   $24,_Kmuld              # argsq = arg*arg;
                    119:        ldd     r0
                    120:        std     -60(fp)                 # argsq
                    121:        pushl   12(fp)                  # hfs
                    122:        pushd                   
                    123:        ldd     _p5; pushd
                    124:        callf   $24,_Kmuld              # p5*argsq
                    125:        pushl   12(fp)                  # hfs
                    126:        ldd     _p4; pushd                      
                    127:        ldd     r0; pushd
                    128:        callf   $24,_Kaddd              # (p5*argsq+p4)
                    129:        pushl   12(fp)                  # hfs
                    130:        ldd     -60(fp); pushd
                    131:        ldd     r0; pushd
                    132:        callf   $24,_Kmuld              # (p5*argsq+p4)*argsq
                    133:        pushl   12(fp)                  # hfs
                    134:        ldd     _p3; pushd                      
                    135:        ldd     r0; pushd
                    136:        callf   $24,_Kaddd              # ((p5*argsq+p4)*argsq+p3)
                    137:        pushl   12(fp)                  # hfs
                    138:        ldd     -60(fp); pushd
                    139:        ldd     r0; pushd
                    140:        callf   $24,_Kmuld              # (..)*argsq
                    141:        pushl   12(fp)                  # hfs
                    142:        ldd     _p2; pushd                      
                    143:        ldd     r0; pushd
                    144:        callf   $24,_Kaddd              # (..)*argsq+p2)
                    145:        pushl   12(fp)                  # hfs
                    146:        ldd     -60(fp); pushd
                    147:        ldd     r0; pushd
                    148:        callf   $24,_Kmuld              # ((..)*argsq+p2)*argsq
                    149:        pushl   12(fp)                  # hfs
                    150:        ldd     _p1; pushd                      
                    151:        ldd     r0; pushd
                    152:        callf   $24,_Kaddd              # ((..)*argsq+p2)*argsq+p1)
                    153:        pushl   12(fp)                  # hfs
                    154:        ldd     -60(fp); pushd
                    155:        ldd     r0; pushd
                    156:        callf   $24,_Kmuld              # (..)*argsq
                    157:        pushl   12(fp)                  # hfs
                    158:        ldd     _p0; pushd                      
                    159:        ldd     r0; pushd
                    160:        callf   $24,_Kaddd              # ((..)*argsq+p1)*argsq+p0)
                    161:        pushl   12(fp)                  # hfs
                    162:        ldd     4(fp); pushd
                    163:        ldd     r0; pushd
                    164:        callf   $24,_Kmuld              # (..)*arg
                    165:        ldd     r0
                    166:        std     -68(fp); cvdf; stf r0   # value
                    167:        ret
                    168: 
                    169:        .data
                    170:        .align  2
                    171: _sq2p1:        .long   0x411A8279, 0x99FCEF31 # .double 2.414213562373095
                    172: _sq2m1:        .long   0x3FD413CC, 0xCFE77990 # .double .41421356237309503
                    173: _pio2: .long   0x40C90FDA, 0xA22168C1 # .double 1.5707963267948966
                    174: _pio4: .long   0x40490FDA, 0xA22168C1 # .double .78539816339744829
                    175: _p0:   .long   0x407FFFFF, 0xFD687A4B # .double .99999999939652999
                    176: _p1:   .long   0xBFAAAAA2, 0x09F9DBF2 # .double -.3333330762079
                    177: _p2:   .long   0x3F4CC820, 0x0670059B # .double .199982166665
                    178: _p3:   .long   0xBF11D182, 0x6601878B # .double -.142400777317
                    179: _p4:   .long   0x3ED88B47, 0x4EFC9AF9 # .double .10573440275
                    180: _p5:   .long   0xBE772E4B, 0x0E689AEB # .double -.060346883
                    181: one:   .long   0x40800000, 0x00000000 # .double 1

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