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Diffstat (limited to 'arch/m68k/fpsp040/stanh.S')
-rw-r--r-- | arch/m68k/fpsp040/stanh.S | 185 |
1 files changed, 185 insertions, 0 deletions
diff --git a/arch/m68k/fpsp040/stanh.S b/arch/m68k/fpsp040/stanh.S new file mode 100644 index 000000000000..33b009802243 --- /dev/null +++ b/arch/m68k/fpsp040/stanh.S | |||
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1 | | | ||
2 | | stanh.sa 3.1 12/10/90 | ||
3 | | | ||
4 | | The entry point sTanh computes the hyperbolic tangent of | ||
5 | | an input argument; sTanhd does the same except for denormalized | ||
6 | | input. | ||
7 | | | ||
8 | | Input: Double-extended number X in location pointed to | ||
9 | | by address register a0. | ||
10 | | | ||
11 | | Output: The value tanh(X) returned in floating-point register Fp0. | ||
12 | | | ||
13 | | Accuracy and Monotonicity: The returned result is within 3 ulps in | ||
14 | | 64 significant bit, i.e. within 0.5001 ulp to 53 bits if the | ||
15 | | result is subsequently rounded to double precision. The | ||
16 | | result is provably monotonic in double precision. | ||
17 | | | ||
18 | | Speed: The program stanh takes approximately 270 cycles. | ||
19 | | | ||
20 | | Algorithm: | ||
21 | | | ||
22 | | TANH | ||
23 | | 1. If |X| >= (5/2) log2 or |X| <= 2**(-40), go to 3. | ||
24 | | | ||
25 | | 2. (2**(-40) < |X| < (5/2) log2) Calculate tanh(X) by | ||
26 | | sgn := sign(X), y := 2|X|, z := expm1(Y), and | ||
27 | | tanh(X) = sgn*( z/(2+z) ). | ||
28 | | Exit. | ||
29 | | | ||
30 | | 3. (|X| <= 2**(-40) or |X| >= (5/2) log2). If |X| < 1, | ||
31 | | go to 7. | ||
32 | | | ||
33 | | 4. (|X| >= (5/2) log2) If |X| >= 50 log2, go to 6. | ||
34 | | | ||
35 | | 5. ((5/2) log2 <= |X| < 50 log2) Calculate tanh(X) by | ||
36 | | sgn := sign(X), y := 2|X|, z := exp(Y), | ||
37 | | tanh(X) = sgn - [ sgn*2/(1+z) ]. | ||
38 | | Exit. | ||
39 | | | ||
40 | | 6. (|X| >= 50 log2) Tanh(X) = +-1 (round to nearest). Thus, we | ||
41 | | calculate Tanh(X) by | ||
42 | | sgn := sign(X), Tiny := 2**(-126), | ||
43 | | tanh(X) := sgn - sgn*Tiny. | ||
44 | | Exit. | ||
45 | | | ||
46 | | 7. (|X| < 2**(-40)). Tanh(X) = X. Exit. | ||
47 | | | ||
48 | |||
49 | | Copyright (C) Motorola, Inc. 1990 | ||
50 | | All Rights Reserved | ||
51 | | | ||
52 | | THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA | ||
53 | | The copyright notice above does not evidence any | ||
54 | | actual or intended publication of such source code. | ||
55 | |||
56 | |STANH idnt 2,1 | Motorola 040 Floating Point Software Package | ||
57 | |||
58 | |section 8 | ||
59 | |||
60 | #include "fpsp.h" | ||
61 | |||
62 | .set X,FP_SCR5 | ||
63 | .set XDCARE,X+2 | ||
64 | .set XFRAC,X+4 | ||
65 | |||
66 | .set SGN,L_SCR3 | ||
67 | |||
68 | .set V,FP_SCR6 | ||
69 | |||
70 | BOUNDS1: .long 0x3FD78000,0x3FFFDDCE | ... 2^(-40), (5/2)LOG2 | ||
71 | |||
72 | |xref t_frcinx | ||
73 | |xref t_extdnrm | ||
74 | |xref setox | ||
75 | |xref setoxm1 | ||
76 | |||
77 | .global stanhd | ||
78 | stanhd: | ||
79 | |--TANH(X) = X FOR DENORMALIZED X | ||
80 | |||
81 | bra t_extdnrm | ||
82 | |||
83 | .global stanh | ||
84 | stanh: | ||
85 | fmovex (%a0),%fp0 | ...LOAD INPUT | ||
86 | |||
87 | fmovex %fp0,X(%a6) | ||
88 | movel (%a0),%d0 | ||
89 | movew 4(%a0),%d0 | ||
90 | movel %d0,X(%a6) | ||
91 | andl #0x7FFFFFFF,%d0 | ||
92 | cmp2l BOUNDS1(%pc),%d0 | ...2**(-40) < |X| < (5/2)LOG2 ? | ||
93 | bcss TANHBORS | ||
94 | |||
95 | |--THIS IS THE USUAL CASE | ||
96 | |--Y = 2|X|, Z = EXPM1(Y), TANH(X) = SIGN(X) * Z / (Z+2). | ||
97 | |||
98 | movel X(%a6),%d0 | ||
99 | movel %d0,SGN(%a6) | ||
100 | andl #0x7FFF0000,%d0 | ||
101 | addl #0x00010000,%d0 | ...EXPONENT OF 2|X| | ||
102 | movel %d0,X(%a6) | ||
103 | andl #0x80000000,SGN(%a6) | ||
104 | fmovex X(%a6),%fp0 | ...FP0 IS Y = 2|X| | ||
105 | |||
106 | movel %d1,-(%a7) | ||
107 | clrl %d1 | ||
108 | fmovemx %fp0-%fp0,(%a0) | ||
109 | bsr setoxm1 | ...FP0 IS Z = EXPM1(Y) | ||
110 | movel (%a7)+,%d1 | ||
111 | |||
112 | fmovex %fp0,%fp1 | ||
113 | fadds #0x40000000,%fp1 | ...Z+2 | ||
114 | movel SGN(%a6),%d0 | ||
115 | fmovex %fp1,V(%a6) | ||
116 | eorl %d0,V(%a6) | ||
117 | |||
118 | fmovel %d1,%FPCR |restore users exceptions | ||
119 | fdivx V(%a6),%fp0 | ||
120 | bra t_frcinx | ||
121 | |||
122 | TANHBORS: | ||
123 | cmpl #0x3FFF8000,%d0 | ||
124 | blt TANHSM | ||
125 | |||
126 | cmpl #0x40048AA1,%d0 | ||
127 | bgt TANHHUGE | ||
128 | |||
129 | |-- (5/2) LOG2 < |X| < 50 LOG2, | ||
130 | |--TANH(X) = 1 - (2/[EXP(2X)+1]). LET Y = 2|X|, SGN = SIGN(X), | ||
131 | |--TANH(X) = SGN - SGN*2/[EXP(Y)+1]. | ||
132 | |||
133 | movel X(%a6),%d0 | ||
134 | movel %d0,SGN(%a6) | ||
135 | andl #0x7FFF0000,%d0 | ||
136 | addl #0x00010000,%d0 | ...EXPO OF 2|X| | ||
137 | movel %d0,X(%a6) | ...Y = 2|X| | ||
138 | andl #0x80000000,SGN(%a6) | ||
139 | movel SGN(%a6),%d0 | ||
140 | fmovex X(%a6),%fp0 | ...Y = 2|X| | ||
141 | |||
142 | movel %d1,-(%a7) | ||
143 | clrl %d1 | ||
144 | fmovemx %fp0-%fp0,(%a0) | ||
145 | bsr setox | ...FP0 IS EXP(Y) | ||
146 | movel (%a7)+,%d1 | ||
147 | movel SGN(%a6),%d0 | ||
148 | fadds #0x3F800000,%fp0 | ...EXP(Y)+1 | ||
149 | |||
150 | eorl #0xC0000000,%d0 | ...-SIGN(X)*2 | ||
151 | fmoves %d0,%fp1 | ...-SIGN(X)*2 IN SGL FMT | ||
152 | fdivx %fp0,%fp1 | ...-SIGN(X)2 / [EXP(Y)+1 ] | ||
153 | |||
154 | movel SGN(%a6),%d0 | ||
155 | orl #0x3F800000,%d0 | ...SGN | ||
156 | fmoves %d0,%fp0 | ...SGN IN SGL FMT | ||
157 | |||
158 | fmovel %d1,%FPCR |restore users exceptions | ||
159 | faddx %fp1,%fp0 | ||
160 | |||
161 | bra t_frcinx | ||
162 | |||
163 | TANHSM: | ||
164 | movew #0x0000,XDCARE(%a6) | ||
165 | |||
166 | fmovel %d1,%FPCR |restore users exceptions | ||
167 | fmovex X(%a6),%fp0 |last inst - possible exception set | ||
168 | |||
169 | bra t_frcinx | ||
170 | |||
171 | TANHHUGE: | ||
172 | |---RETURN SGN(X) - SGN(X)EPS | ||
173 | movel X(%a6),%d0 | ||
174 | andl #0x80000000,%d0 | ||
175 | orl #0x3F800000,%d0 | ||
176 | fmoves %d0,%fp0 | ||
177 | andl #0x80000000,%d0 | ||
178 | eorl #0x80800000,%d0 | ...-SIGN(X)*EPS | ||
179 | |||
180 | fmovel %d1,%FPCR |restore users exceptions | ||
181 | fadds %d0,%fp0 | ||
182 | |||
183 | bra t_frcinx | ||
184 | |||
185 | |end | ||