1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
|
/*
* jump - trivial prime jump table
*
* Copyright (C) 1999 Landon Curt Noll
*
* Calc is open software; you can redistribute it and/or modify it under
* the terms of the version 2.1 of the GNU Lesser General Public License
* as published by the Free Software Foundation.
*
* Calc is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
* Public License for more details.
*
* A copy of version 2.1 of the GNU Lesser General Public License is
* distributed with calc under the filename COPYING-LGPL. You should have
* received a copy with calc; if not, write to Free Software Foundation, Inc.
* 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.
*
* @(#) $Revision: 29.2 $
* @(#) $Id: jump.c,v 29.2 2000/06/07 14:02:13 chongo Exp $
* @(#) $Source: /usr/local/src/cmd/calc/RCS/jump.c,v $
*
* Under source code control: 1994/06/29 04:03:54
* File existed as early as: 1994
*
* chongo <was here> /\oo/\ http://www.isthe.com/chongo/
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
/*
* If x is divisible by a trivial prime (2,3,5,7,11), then:
*
* x + jmpindx[ (x>>1)%JMPMOD ]
*
* is the value of the smallest value > x that is not divisible by a
* trivial prime. JMPMOD is the product of the odd trivial primes.
*
* This table is useful for skipping values that are obviously not prime
* by skipping values that are a multiple of trivial prime.
*
* If x is not divisible by a trivial prime, then:
*
* x + jmp[ -jmpindx[(x>>1)%JMPMOD] ]
*
* is the value of the smallest value > x that is not divisible by a
* trivial prime.
*
* Instead of testing successive odd values, this system allows us to
* skip odd values divisible by trivial primes. This is process on the
* average reduces the values we need to test by a factor of at least 2.4.
*/
#include "jump.h"
/*
* jmpindx - how to find the next value not divisible by a trivial prime
*
* If jmpindx[y] > 0 (y = x mod JMPMOD*2), then it refers to an 'x' that
* is divisible by a trivial prime and jmpindx[y] is the offset to the next
* value that is not divisible.
*
* If jmpindx[y] <= 0, then 'x' is not divisible by a trivial prime and
* the negative of jmpindx[y] is the index into the jmp[] table. We use
* successive values from jmp[] (wrapping around to the beginning when
* we move off the end of jmp[]) to move to higher and higher values
* that are not divisible by trivial primes.
*/
CONST short jmpindx[JMPMOD] = {
0, 10, 8, 6, 4, 2, -1, 2, -2, -3, 2, -4, 4, 2, -5, -6, 4, 2, -7, 2, -8, -9,
2, -10, 4, 2, -11, 4, 2, -12, -13, 4, 2, -14, 2, -15, -16, 4, 2, -17, 2,
-18, 4, 2, -19, 6, 4, 2, -20, 2, -21, -22, 2, -23, -24, 2, -25, 12, 10,
8, 6, 4, 2, -26, 2, -27, 4, 2, -28, -29, 8, 6, 4, 2, -30, -31, 4, 2, -32,
4, 2, -33, 2, -34, -35, 2, -36, 4, 2, -37, -38, 8, 6, 4, 2, -39, -40, 2,
-41, -42, 10, 8, 6, 4, 2, -43, 8, 6, 4, 2, -44, -45, 2, -46, -47, 2, -48,
4, 2, -49, -50, 4, 2, -51, 2, -52, 4, 2, -53, 4, 2, -54, 4, 2, -55, -56,
4, 2, -57, 2, -58, -59, 4, 2, -60, 2, -61, 4, 2, -62, 6, 4, 2, -63, 2,
-64, -65, 2, -66, 4, 2, -67, 6, 4, 2, -68, 4, 2, -69, 8, 6, 4, 2, -70,
-71, 2, -72, 4, 2, -73, -74, 4, 2, -75, 4, 2, -76, 2, -77, -78, 2, -79,
4, 2, -80, -81, 4, 2, -82, 2, -83, -84, 4, 2, -85, 8, 6, 4, 2, -86, -87,
8, 6, 4, 2, -88, -89, 2, -90, -91, 2, -92, 4, 2, -93, 6, 4, 2, -94, 2,
-95, -96, 2, -97, 10, 8, 6, 4, 2, -98, -99, 4, 2, -100, 2, -101, -102, 4,
2, -103, 2, -104, 4, 2, -105, 10, 8, 6, 4, 2, -106, -107, 2, -108, -109,
2, -110, 6, 4, 2, -111, 4, 2, -112, 2, -113, 4, 2, -114, -115, 2, -116,
4, 2, -117, -118, 4, 2, -119, 8, 6, 4, 2, -120, -121, 2, -122, 4, 2, -123,
-124, 4, 2, -125, 2, -126, -127, 2, -128, -129, 8, 6, 4, 2, -130, -131,
8, 6, 4, 2, -132, -133, 2, -134, 4, 2, -135, 4, 2, -136, -137, 4, 2, -138,
4, 2, -139, 2, -140, 4, 2, -141, 4, 2, -142, -143, 4, 2, -144, 2, -145,
-146, 4, 2, -147, 2, -148, 4, 2, -149, 6, 4, 2, -150, 2, -151, -152, 4,
2, -153, 2, -154, 6, 4, 2, -155, 4, 2, -156, 2, -157, 4, 2, -158, -159,
2, -160, 4, 2, -161, 6, 4, 2, -162, 4, 2, -163, 2, -164, -165, 8, 6, 4,
2, -166, -167, 4, 2, -168, 2, -169, -170, 2, -171, -172, 8, 6, 4, 2, -173,
-174, 8, 6, 4, 2, -175, -176, 2, -177, -178, 2, -179, 6, 4, 2, -180, 4,
2, -181, 2, -182, -183, 2, -184, 4, 2, -185, 4, 2, -186, -187, 4, 2, -188,
2, -189, 6, 4, 2, -190, 2, -191, 4, 2, -192, 6, 4, 2, -193, 2, -194, -195,
2, -196, -197, 2, -198, 6, 4, 2, -199, 4, 2, -200, 2, -201, 4, 2, -202,
4, 2, -203, 4, 2, -204, -205, 4, 2, -206, 4, 2, -207, 2, -208, -209, 2,
-210, 4, 2, -211, -212, 4, 2, -213, 2, -214, -215, 2, -216, -217, 8, 6,
4, 2, -218, -219, 8, 6, 4, 2, -220, -221, 4, 2, -222, 2, -223, 4, 2, -224,
-225, 4, 2, -226, 2, -227, -228, 2, -229, 4, 2, -230, 4, 2, -231, 6, 4,
2, -232, 2, -233, -234, 4, 2, -235, 8, 6, 4, 2, -236, 6, 4, 2, -237, 2,
-238, -239, 2, -240, -241, 2, -242, 6, 4, 2, -243, 8, 6, 4, 2, -244, 4,
2, -245, -246, 2, -247, 6, 4, 2, -248, 4, 2, -249, 4, 2, -250, 2, -251,
-252, 2, -253, 4, 2, -254, -255, 4, 2, -256, 2, -257, 4, 2, -258, -259,
8, 6, 4, 2, -260, -261, 8, 6, 4, 2, -262, -263, 2, -264, -265, 2, -266,
4, 2, -267, -268, 4, 2, -269, 2, -270, -271, 2, -272, 4, 2, -273, 4, 2,
-274, -275, 4, 2, -276, 4, 2, -277, 4, 2, -278, 2, -279, 4, 2, -280, 6,
4, 2, -281, 2, -282, -283, 2, -284, -285, 2, -286, 6, 4, 2, -287, 4, 2,
-288, 2, -289, 6, 4, 2, -290, 2, -291, 4, 2, -292, -293, 4, 2, -294, 4,
2, -295, 2, -296, -297, 2, -298, 4, 2, -299, 6, 4, 2, -300, 2, -301, -302,
2, -303, -304, 8, 6, 4, 2, -305, -306, 8, 6, 4, 2, -307, -308, 2, -309,
-310, 2, -311, 4, 2, -312, -313, 8, 6, 4, 2, -314, -315, 2, -316, 4, 2,
-317, 6, 4, 2, -318, 4, 2, -319, 2, -320, -321, 4, 2, -322, 2, -323, 4,
2, -324, 6, 4, 2, -325, 2, -326, 4, 2, -327, -328, 2, -329, 6, 4, 2, -330,
4, 2, -331, 2, -332, 4, 2, -333, -334, 2, -335, 4, 2, -336, -337, 4, 2,
-338, 4, 2, -339, 2, -340, 4, 2, -341, 4, 2, -342, -343, 4, 2, -344, 4,
2, -345, 2, -346, -347, 8, 6, 4, 2, -348, -349, 8, 6, 4, 2, -350, -351,
2, -352, -353, 2, -354, 4, 2, -355, -356, 4, 2, -357, 2, -358, -359, 8,
6, 4, 2, -360, 4, 2, -361, -362, 4, 2, -363, 2, -364, -365, 4, 2, -366,
2, -367, 4, 2, -368, 6, 4, 2, -369, 2, -370, -371, 2, -372, -373, 10, 8,
6, 4, 2, -374, 4, 2, -375, 2, -376, 4, 2, -377, -378, 2, -379, 4, 2, -380,
-381, 10, 8, 6, 4, 2, -382, 2, -383, -384, 2, -385, 6, 4, 2, -386, 4,
2, -387, 2, -388, -389, 2, -390, -391, 8, 6, 4, 2, -392, -393, 8, 6, 4,
2, -394, 4, 2, -395, -396, 2, -397, 4, 2, -398, -399, 4, 2, -400, 2, -401,
-402, 2, -403, 4, 2, -404, 4, 2, -405, -406, 4, 2, -407, 2, -408, -409,
8, 6, 4, 2, -410, 4, 2, -411, 6, 4, 2, -412, 4, 2, -413, 2, -414, -415,
2, -416, 6, 4, 2, -417, 4, 2, -418, 2, -419, 4, 2, -420, -421, 2, -422,
4, 2, -423, -424, 4, 2, -425, 4, 2, -426, 4, 2, -427, 2, -428, 4, 2, -429,
-430, 4, 2, -431, 2, -432, -433, 2, -434, -435, 8, 6, 4, 2, -436, 10, 8,
6, 4, 2, -437, -438, 2, -439, -440, 8, 6, 4, 2, -441, -442, 4, 2, -443,
2, -444, -445, 2, -446, 4, 2, -447, 4, 2, -448, -449, 8, 6, 4, 2, -450,
-451, 4, 2, -452, 2, -453, 12, 10, 8, 6, 4, 2, -454, 2, -455, -456, 2,
-457, -458, 2, -459, 6, 4, 2, -460, 4, 2, -461, 2, -462, 4, 2, -463, -464,
2, -465, 4, 2, -466, -467, 4, 2, -468, 4, 2, -469, 2, -470, -471, 2, -472,
4, 2, -473, -474, 4, 2, -475, 2, -476, -477, 2, -478, 10, 8, 6, 4, 2, -479
};
/*
* jmp - intervals between successive integers not divisible by trivial primes
*/
CONST unsigned char jmp[JMPSIZE] = {
12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6,
10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10,
2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2
};
CONST unsigned char *CONST lastjmp = (jmp+JMPSIZE-1);
|
