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author | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
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committer | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
commit | 1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch) | |
tree | 0bba044c4ce775e45a88a51686b5d9f90697ea9d /arch/m68k/fpsp040/sasin.S |
Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history,
even though we have it. We can create a separate "historical" git
archive of that later if we want to, and in the meantime it's about
3.2GB when imported into git - space that would just make the early
git days unnecessarily complicated, when we don't have a lot of good
infrastructure for it.
Let it rip!
Diffstat (limited to 'arch/m68k/fpsp040/sasin.S')
-rw-r--r-- | arch/m68k/fpsp040/sasin.S | 104 |
1 files changed, 104 insertions, 0 deletions
diff --git a/arch/m68k/fpsp040/sasin.S b/arch/m68k/fpsp040/sasin.S new file mode 100644 index 000000000000..5647a6043903 --- /dev/null +++ b/arch/m68k/fpsp040/sasin.S | |||
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1 | | | ||
2 | | sasin.sa 3.3 12/19/90 | ||
3 | | | ||
4 | | Description: The entry point sAsin computes the inverse sine of | ||
5 | | an input argument; sAsind 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 arcsin(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 sASIN takes approximately 310 cycles. | ||
19 | | | ||
20 | | Algorithm: | ||
21 | | | ||
22 | | ASIN | ||
23 | | 1. If |X| >= 1, go to 3. | ||
24 | | | ||
25 | | 2. (|X| < 1) Calculate asin(X) by | ||
26 | | z := sqrt( [1-X][1+X] ) | ||
27 | | asin(X) = atan( x / z ). | ||
28 | | Exit. | ||
29 | | | ||
30 | | 3. If |X| > 1, go to 5. | ||
31 | | | ||
32 | | 4. (|X| = 1) sgn := sign(X), return asin(X) := sgn * Pi/2. Exit. | ||
33 | | | ||
34 | | 5. (|X| > 1) Generate an invalid operation by 0 * infinity. | ||
35 | | Exit. | ||
36 | | | ||
37 | |||
38 | | Copyright (C) Motorola, Inc. 1990 | ||
39 | | All Rights Reserved | ||
40 | | | ||
41 | | THIS IS UNPUBLISHED PROPRIETARY SOURCE CODE OF MOTOROLA | ||
42 | | The copyright notice above does not evidence any | ||
43 | | actual or intended publication of such source code. | ||
44 | |||
45 | |SASIN idnt 2,1 | Motorola 040 Floating Point Software Package | ||
46 | |||
47 | |section 8 | ||
48 | |||
49 | PIBY2: .long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x00000000 | ||
50 | |||
51 | |xref t_operr | ||
52 | |xref t_frcinx | ||
53 | |xref t_extdnrm | ||
54 | |xref satan | ||
55 | |||
56 | .global sasind | ||
57 | sasind: | ||
58 | |--ASIN(X) = X FOR DENORMALIZED X | ||
59 | |||
60 | bra t_extdnrm | ||
61 | |||
62 | .global sasin | ||
63 | sasin: | ||
64 | fmovex (%a0),%fp0 | ...LOAD INPUT | ||
65 | |||
66 | movel (%a0),%d0 | ||
67 | movew 4(%a0),%d0 | ||
68 | andil #0x7FFFFFFF,%d0 | ||
69 | cmpil #0x3FFF8000,%d0 | ||
70 | bges asinbig | ||
71 | |||
72 | |--THIS IS THE USUAL CASE, |X| < 1 | ||
73 | |--ASIN(X) = ATAN( X / SQRT( (1-X)(1+X) ) ) | ||
74 | |||
75 | fmoves #0x3F800000,%fp1 | ||
76 | fsubx %fp0,%fp1 | ...1-X | ||
77 | fmovemx %fp2-%fp2,-(%a7) | ||
78 | fmoves #0x3F800000,%fp2 | ||
79 | faddx %fp0,%fp2 | ...1+X | ||
80 | fmulx %fp2,%fp1 | ...(1+X)(1-X) | ||
81 | fmovemx (%a7)+,%fp2-%fp2 | ||
82 | fsqrtx %fp1 | ...SQRT([1-X][1+X]) | ||
83 | fdivx %fp1,%fp0 | ...X/SQRT([1-X][1+X]) | ||
84 | fmovemx %fp0-%fp0,(%a0) | ||
85 | bsr satan | ||
86 | bra t_frcinx | ||
87 | |||
88 | asinbig: | ||
89 | fabsx %fp0 | ...|X| | ||
90 | fcmps #0x3F800000,%fp0 | ||
91 | fbgt t_operr |cause an operr exception | ||
92 | |||
93 | |--|X| = 1, ASIN(X) = +- PI/2. | ||
94 | |||
95 | fmovex PIBY2,%fp0 | ||
96 | movel (%a0),%d0 | ||
97 | andil #0x80000000,%d0 | ...SIGN BIT OF X | ||
98 | oril #0x3F800000,%d0 | ...+-1 IN SGL FORMAT | ||
99 | movel %d0,-(%sp) | ...push SIGN(X) IN SGL-FMT | ||
100 | fmovel %d1,%FPCR | ||
101 | fmuls (%sp)+,%fp0 | ||
102 | bra t_frcinx | ||
103 | |||
104 | |end | ||