intmath.hh revision 2665
111723Sar4jc@virginia.edu/*
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311723Sar4jc@virginia.edu * All rights reserved.
412808Srobert.scheffel1@tu-dresden.de *
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611723Sar4jc@virginia.edu * modification, are permitted provided that the following conditions are
711723Sar4jc@virginia.edu * met: redistributions of source code must retain the above copyright
811723Sar4jc@virginia.edu * notice, this list of conditions and the following disclaimer;
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1411723Sar4jc@virginia.edu * this software without specific prior written permission.
1511723Sar4jc@virginia.edu *
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1711723Sar4jc@virginia.edu * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
1811723Sar4jc@virginia.edu * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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2511723Sar4jc@virginia.edu * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
2611723Sar4jc@virginia.edu * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
2711723Sar4jc@virginia.edu *
2811723Sar4jc@virginia.edu * Authors: Nathan Binkert
2911723Sar4jc@virginia.edu */
3011723Sar4jc@virginia.edu
3112808Srobert.scheffel1@tu-dresden.de#ifndef __INTMATH_HH__
3211723Sar4jc@virginia.edu#define __INTMATH_HH__
3311723Sar4jc@virginia.edu
3411723Sar4jc@virginia.edu#include <assert.h>
3512848Sar4jc@virginia.edu
3612848Sar4jc@virginia.edu#include "sim/host.hh"
3712808Srobert.scheffel1@tu-dresden.de
3811723Sar4jc@virginia.edu// Returns the prime number one less than n.
3912808Srobert.scheffel1@tu-dresden.deint prevPrime(int n);
4011723Sar4jc@virginia.edu
4111723Sar4jc@virginia.edu// Determine if a number is prime
4211723Sar4jc@virginia.edutemplate <class T>
4311723Sar4jc@virginia.eduinline bool
4412848Sar4jc@virginia.eduisPrime(T n)
4512848Sar4jc@virginia.edu{
4611723Sar4jc@virginia.edu    T i;
4711723Sar4jc@virginia.edu
4812848Sar4jc@virginia.edu    if (n == 2 || n == 3)
4911723Sar4jc@virginia.edu        return true;
5011723Sar4jc@virginia.edu
5111723Sar4jc@virginia.edu    // Don't try every odd number to prove if it is a prime.
5211723Sar4jc@virginia.edu    // Toggle between every 2nd and 4th number.
5311723Sar4jc@virginia.edu    // (This is because every 6th odd number is divisible by 3.)
5411723Sar4jc@virginia.edu    for (i = 5; i*i <= n; i += 6) {
5511723Sar4jc@virginia.edu        if (((n % i) == 0 ) || ((n % (i + 2)) == 0) ) {
5612848Sar4jc@virginia.edu            return false;
5712848Sar4jc@virginia.edu        }
5811723Sar4jc@virginia.edu    }
5912848Sar4jc@virginia.edu
6012848Sar4jc@virginia.edu    return true;
6112848Sar4jc@virginia.edu}
6212848Sar4jc@virginia.edu
6312848Sar4jc@virginia.edutemplate <class T>
6413548Salec.roelke@gmail.cominline T
6513548Salec.roelke@gmail.comleastSigBit(T n)
6613548Salec.roelke@gmail.com{
6713548Salec.roelke@gmail.com    return n & ~(n - 1);
6813548Salec.roelke@gmail.com}
6913548Salec.roelke@gmail.com
7013548Salec.roelke@gmail.comtemplate <class T>
7113548Salec.roelke@gmail.cominline bool
7213548Salec.roelke@gmail.comisPowerOf2(T n)
7313548Salec.roelke@gmail.com{
7413548Salec.roelke@gmail.com    return n != 0 && leastSigBit(n) == n;
7513548Salec.roelke@gmail.com}
7613548Salec.roelke@gmail.com
7713548Salec.roelke@gmail.cominline int
7813548Salec.roelke@gmail.comfloorLog2(unsigned x)
7913548Salec.roelke@gmail.com{
8013548Salec.roelke@gmail.com    assert(x > 0);
8113548Salec.roelke@gmail.com
8212848Sar4jc@virginia.edu    int y = 0;
8312848Sar4jc@virginia.edu
8412848Sar4jc@virginia.edu    if (x & 0xffff0000) { y += 16; x >>= 16; }
8512849Sar4jc@virginia.edu    if (x & 0x0000ff00) { y +=  8; x >>=  8; }
8612848Sar4jc@virginia.edu    if (x & 0x000000f0) { y +=  4; x >>=  4; }
8712848Sar4jc@virginia.edu    if (x & 0x0000000c) { y +=  2; x >>=  2; }
8812848Sar4jc@virginia.edu    if (x & 0x00000002) { y +=  1; }
8912848Sar4jc@virginia.edu
9012848Sar4jc@virginia.edu    return y;
9112849Sar4jc@virginia.edu}
9212848Sar4jc@virginia.edu
9312848Sar4jc@virginia.eduinline int
9412848Sar4jc@virginia.edufloorLog2(unsigned long x)
9512848Sar4jc@virginia.edu{
9612848Sar4jc@virginia.edu    assert(x > 0);
9712848Sar4jc@virginia.edu
9812848Sar4jc@virginia.edu    int y = 0;
9912848Sar4jc@virginia.edu
10012849Sar4jc@virginia.edu#if defined(__LP64__)
10112848Sar4jc@virginia.edu    if (x & ULL(0xffffffff00000000)) { y += 32; x >>= 32; }
10212848Sar4jc@virginia.edu#endif
10312848Sar4jc@virginia.edu    if (x & 0xffff0000) { y += 16; x >>= 16; }
10412848Sar4jc@virginia.edu    if (x & 0x0000ff00) { y +=  8; x >>=  8; }
10512848Sar4jc@virginia.edu    if (x & 0x000000f0) { y +=  4; x >>=  4; }
10612848Sar4jc@virginia.edu    if (x & 0x0000000c) { y +=  2; x >>=  2; }
10712848Sar4jc@virginia.edu    if (x & 0x00000002) { y +=  1; }
10812848Sar4jc@virginia.edu
10912848Sar4jc@virginia.edu    return y;
11012849Sar4jc@virginia.edu}
11112848Sar4jc@virginia.edu
11212848Sar4jc@virginia.eduinline int
11312848Sar4jc@virginia.edufloorLog2(unsigned long long x)
11412848Sar4jc@virginia.edu{
11512848Sar4jc@virginia.edu    assert(x > 0);
11612848Sar4jc@virginia.edu
11712848Sar4jc@virginia.edu    int y = 0;
11812848Sar4jc@virginia.edu
11912848Sar4jc@virginia.edu    if (x & ULL(0xffffffff00000000)) { y += 32; x >>= 32; }
12012848Sar4jc@virginia.edu    if (x & ULL(0x00000000ffff0000)) { y += 16; x >>= 16; }
12112848Sar4jc@virginia.edu    if (x & ULL(0x000000000000ff00)) { y +=  8; x >>=  8; }
12212848Sar4jc@virginia.edu    if (x & ULL(0x00000000000000f0)) { y +=  4; x >>=  4; }
12313612Sgabeblack@google.com    if (x & ULL(0x000000000000000c)) { y +=  2; x >>=  2; }
12412848Sar4jc@virginia.edu    if (x & ULL(0x0000000000000002)) { y +=  1; }
12512849Sar4jc@virginia.edu
12612848Sar4jc@virginia.edu    return y;
12712848Sar4jc@virginia.edu}
12812848Sar4jc@virginia.edu
12912848Sar4jc@virginia.eduinline int
13013548Salec.roelke@gmail.comfloorLog2(int x)
13113548Salec.roelke@gmail.com{
13213548Salec.roelke@gmail.com    assert(x > 0);
13313548Salec.roelke@gmail.com    return floorLog2((unsigned)x);
13411723Sar4jc@virginia.edu}
13512848Sar4jc@virginia.edu
13611723Sar4jc@virginia.eduinline int
13711723Sar4jc@virginia.edufloorLog2(long x)
13812848Sar4jc@virginia.edu{
13911723Sar4jc@virginia.edu    assert(x > 0);
14011723Sar4jc@virginia.edu    return floorLog2((unsigned long)x);
14112808Srobert.scheffel1@tu-dresden.de}
14212808Srobert.scheffel1@tu-dresden.de
14313547Sar4jc@virginia.eduinline int
14413547Sar4jc@virginia.edufloorLog2(long long x)
14513547Sar4jc@virginia.edu{
14613547Sar4jc@virginia.edu    assert(x > 0);
14713547Sar4jc@virginia.edu    return floorLog2((unsigned long long)x);
14813547Sar4jc@virginia.edu}
14913547Sar4jc@virginia.edu
15012808Srobert.scheffel1@tu-dresden.detemplate <class T>
15112808Srobert.scheffel1@tu-dresden.deinline int
15212808Srobert.scheffel1@tu-dresden.deceilLog2(T n)
15312808Srobert.scheffel1@tu-dresden.de{
15412808Srobert.scheffel1@tu-dresden.de    if (n == 1)
15511723Sar4jc@virginia.edu        return 0;
15612848Sar4jc@virginia.edu
15711723Sar4jc@virginia.edu    return floorLog2(n - (T)1) + 1;
15811723Sar4jc@virginia.edu}
15911723Sar4jc@virginia.edu
16011723Sar4jc@virginia.edutemplate <class T>
16111723Sar4jc@virginia.eduinline T
16211723Sar4jc@virginia.edufloorPow2(T n)
16312848Sar4jc@virginia.edu{
16412136Sar4jc@virginia.edu    return (T)1 << floorLog2(n);
16512136Sar4jc@virginia.edu}
16612136Sar4jc@virginia.edu
16712136Sar4jc@virginia.edutemplate <class T>
16812136Sar4jc@virginia.eduinline T
16912136Sar4jc@virginia.educeilPow2(T n)
17012848Sar4jc@virginia.edu{
17111723Sar4jc@virginia.edu    return (T)1 << ceilLog2(n);
17211723Sar4jc@virginia.edu}
17311723Sar4jc@virginia.edu
17411723Sar4jc@virginia.edutemplate <class T>
17511723Sar4jc@virginia.eduinline T
17611723Sar4jc@virginia.edudivCeil(T a, T b)
17711723Sar4jc@virginia.edu{
17812848Sar4jc@virginia.edu    return (a + b - 1) / b;
17911725Sar4jc@virginia.edu}
18011725Sar4jc@virginia.edu
18111725Sar4jc@virginia.edutemplate <class T>
18211725Sar4jc@virginia.eduinline T
18311725Sar4jc@virginia.eduroundUp(T val, int align)
18411725Sar4jc@virginia.edu{
18512848Sar4jc@virginia.edu    T mask = (T)align - 1;
18611723Sar4jc@virginia.edu    return (val + mask) & ~mask;
18711723Sar4jc@virginia.edu}
18811723Sar4jc@virginia.edu
18911723Sar4jc@virginia.edutemplate <class T>
19011723Sar4jc@virginia.eduinline T
19112848Sar4jc@virginia.eduroundDown(T val, int align)
19211723Sar4jc@virginia.edu{
19311877Sbrandon.potter@amd.com    T mask = (T)align - 1;
19411877Sbrandon.potter@amd.com    return val & ~mask;
19511723Sar4jc@virginia.edu}
19612848Sar4jc@virginia.edu
19713612Sgabeblack@google.cominline bool
198isHex(char c)
199{
200    return c >= '0' && c <= '9' ||
201        c >= 'A' && c <= 'F' ||
202        c >= 'a' && c <= 'f';
203}
204
205inline bool
206isOct(char c)
207{
208    return c >= '0' && c <= '7';
209}
210
211inline bool
212isDec(char c)
213{
214    return c >= '0' && c <= '9';
215}
216
217inline int
218hex2Int(char c)
219{
220  if (c >= '0' && c <= '9')
221    return (c - '0');
222
223  if (c >= 'A' && c <= 'F')
224    return (c - 'A') + 10;
225
226  if (c >= 'a' && c <= 'f')
227    return (c - 'a') + 10;
228
229  return 0;
230}
231
232#endif // __INTMATH_HH__
233