MathExtras.h revision 88c606eb0cc5415ed367c24e073f7bb478501d34
1551ccae044b0ff658fe629dd67edd5ffe75d10e8Reid Spencer//===-- llvm/Support/MathExtras.h - Useful math functions -------*- C++ -*-===//
263b3afa98460ce38a1c48d3c44ef6edfdaf37b77Misha Brukman//
3b2109ce97881269a610fa4afbcbca350e975174dJohn Criswell//                     The LLVM Compiler Infrastructure
4b2109ce97881269a610fa4afbcbca350e975174dJohn Criswell//
5b2109ce97881269a610fa4afbcbca350e975174dJohn Criswell// This file was developed by the LLVM research group and is distributed under
6b2109ce97881269a610fa4afbcbca350e975174dJohn Criswell// the University of Illinois Open Source License. See LICENSE.TXT for details.
763b3afa98460ce38a1c48d3c44ef6edfdaf37b77Misha Brukman//
8b2109ce97881269a610fa4afbcbca350e975174dJohn Criswell//===----------------------------------------------------------------------===//
954ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner//
1054ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner// This file contains some functions that are useful for math stuff.
1154ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner//
1254ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner//===----------------------------------------------------------------------===//
13cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner
14551ccae044b0ff658fe629dd67edd5ffe75d10e8Reid Spencer#ifndef LLVM_SUPPORT_MATHEXTRAS_H
15551ccae044b0ff658fe629dd67edd5ffe75d10e8Reid Spencer#define LLVM_SUPPORT_MATHEXTRAS_H
16cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner
17551ccae044b0ff658fe629dd67edd5ffe75d10e8Reid Spencer#include "llvm/Support/DataTypes.h"
18cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner
19d0fde30ce850b78371fd1386338350591f9ff494Brian Gaekenamespace llvm {
20d0fde30ce850b78371fd1386338350591f9ff494Brian Gaeke
2188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// NOTE: The following support functions use the _32/_64 extensions instead of type
2288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// overloading so that signed and unsigned integers can be used without ambiguity.
2388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
2488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
2588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Hi_32 - This function returns the high 32 bits of a 64 bit value.
2688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned Hi_32(uint64_t Value) {
2788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return (unsigned)(Value >> 32);
2888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
2988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
3088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Lo_32 - This function returns the low 32 bits of a 64 bit value.
3188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned Lo_32(uint64_t Value) {
3288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return (unsigned)Value;
3388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
3488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
3588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// is?Type - these functions produce optimal testing for integer data types.
3688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isInt8  (int Value)     { return (  signed char )Value == Value; }
3788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isUInt8 (int Value)     { return (unsigned char )Value == Value; }
3888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isInt16 (int Value)     { return (  signed short)Value == Value; }
3988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isUInt16(int Value)     { return (unsigned short)Value == Value; }
4088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isInt32 (int64_t Value) { return (  signed int  )Value == Value; }
4188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isUInt32(int64_t Value) { return (unsigned int  )Value == Value; }
4288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
4388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isMask_32 - This function returns true if the argument is a sequence of ones starting
4488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// at the least significant bit with the remainder zero (32 bit version.)
4588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Ex. isMask_32(0x0000FFFFU) == true.
4688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline const bool isMask_32(unsigned Value) {
4788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Value && ((Value + 1) & Value) == 0;
4888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
4988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
5088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isMask_64 - This function returns true if the argument is a sequence of ones starting
5188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// at the least significant bit with the remainder zero (64 bit version.)
5288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline const bool isMask_64(uint64_t Value) {
5388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Value && ((Value + 1) & Value) == 0;
5488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
5588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
5688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isShiftedMask_32 - This function returns true if the argument contains a sequence of ones
5788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// with the remainder zero (32 bit version.)
5888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Ex. isShiftedMask_32(0x0000FF00U) == true.
5988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline const bool isShiftedMask_32(unsigned Value) {
6088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return isMask_32((Value - 1) | Value);
6188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
6288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
6388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isShiftedMask_64 - This function returns true if the argument contains a sequence of ones
6488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// with the remainder zero (64 bit version.)
6588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline const bool isShiftedMask_64(uint64_t Value) {
6688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return isMask_64((Value - 1) | Value);
6788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
6888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
6988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isPowerOf2_32 - This function returns true if the argument is a power of two > 0.
7088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Ex. isPowerOf2_32(0x00100000U) == true (32 bit edition.)
7188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isPowerOf2_32(unsigned Value) {
7288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Value && !(Value & (Value - 1));
7388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
7488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
7588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// isPowerOf2_64 - This function returns true if the argument is a power of two > 0
7688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// (64 bit edition.)
7788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline bool isPowerOf2_64(uint64_t Value) {
7888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Value && !(Value & (Value - 1LL));
7988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
8088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner
8188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// CountLeadingZeros_32 - this function performs the platform optimal form
8288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// of counting the number of zeros from the most significant bit to the first one bit.
8388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Ex. CountLeadingZeros_32(0x00F000FF) == 8.
8488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Returns 32 if the word is zero.
8588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned CountLeadingZeros_32(unsigned Value) {
8688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  unsigned Count; // result
8788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #if __GNUC__ >= 4
8888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // PowerPC is defined for __builtin_clz(0)
8988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    #if defined(__ppc__) || defined(__ppc64__)
9088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner      if (!Value) return 32;
91bb92f6fbf2c36b3530f33eb2e8d1842764ec9fddBrian Gaeke#endif
9288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    Count = __builtin_clz(Value);
9388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #else
9488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    if (!Value) return 32;
9588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    Count = 0;
9688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // bisecton method for count leading zeros
9788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    for (unsigned Shift = 32 >> 1; Shift; Shift >>= 1) {
9888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        unsigned Tmp = Value >> Shift;
9988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        if (Tmp) {
10088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner            Count |= Shift;
10188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner            Value = Tmp;
10288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        }
10388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    }
10488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #endif
10588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Count;
10688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner}
107bb92f6fbf2c36b3530f33eb2e8d1842764ec9fddBrian Gaeke
10888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// CountLeadingZeros_64 - This function performs the platform optimal form
10988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// of counting the number of zeros from the most significant bit to the first one bit
11088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// (64 bit edition.)
11188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Returns 64 if the word is zero.
11288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned CountLeadingZeros_64(uint64_t Value) {
11388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  unsigned Count; // result
11488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #if __GNUC__ >= 4
11588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // PowerPC is defined for __builtin_clzll(0)
11688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    #if defined(__ppc__) || defined(__ppc64__)
11788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner      if (!Value) return 64;
11888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    #endif
11988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    Count = __builtin_clzll(Value);
12088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #elif sizeof(long) == sizeof(int64_t)
12188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    if (!Value) return 64;
12288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    Count = 0;
12388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // bisecton method for count leading zeros
12488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    for (uint64_t Shift = 64 >> 1; Shift; Shift >>= 1) {
12588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner      uint64_t Tmp = Value >> Shift;
12688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner      if (Tmp) {
12788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        Count |= Shift;
12888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        Value = Tmp;
12988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner      }
130bcfa423e3d1a2a385b56e3ec0f03137f0c33efc7Vikram S. Adve}
13188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #else
13288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // get hi portion
13388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    unsigned Hi = Hi_32(Value);
134cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner
13588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    // if some bits in hi portion
13688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    if (Hi) {
13788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        // leading zeros in hi portion plus all bits in lo portion
13888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        Count = CountLeadingZeros_32(Hi) + 32;
13988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    } else {
14088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        // get lo portion
14188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        unsigned Lo = Lo_32(Value);
14288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        // same as 32 bit value
14388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner        Count = CountLeadingZeros_32(Lo);
14488c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    }
14588c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  #endif
14688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner  return Count;
147e265504e82310266271fa2329b6ef8115bbe8244Chris Lattner}
148e265504e82310266271fa2329b6ef8115bbe8244Chris Lattner
14988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Log2_32 - This function returns the floor log base 2 of the specified value, -1 if the value is zero.
15088c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// (32 bit edition.)
15188c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Ex. Log2_32(32) == 5, Log2_32(1) == 0, Log2_32(0) == -1
15288c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned Log2_32(unsigned Value) {
15388c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    return 31 - CountLeadingZeros_32(Value);
15454ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner  }
15554ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner
15688c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// Log2_64 - This function returns the floor log base 2 of the specified value, -1 if the value is zero.
15788c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner// (64 bit edition.)
15888c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattnerinline unsigned Log2_64(unsigned Value) {
15988c606eb0cc5415ed367c24e073f7bb478501d34Chris Lattner    return 63 - CountLeadingZeros_64(Value);
160cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner}
161cee8f9ae67104576b2028125b56e9ba4856a1d66Chris Lattner
1627764f4b2e0e550dc23f3c536f236f9abf86879dcBrian Gaeke// Platform-independent wrappers for the C99 isnan() function.
1637764f4b2e0e550dc23f3c536f236f9abf86879dcBrian Gaekeint IsNAN (float f);
1647764f4b2e0e550dc23f3c536f236f9abf86879dcBrian Gaekeint IsNAN (double d);
1657764f4b2e0e550dc23f3c536f236f9abf86879dcBrian Gaeke
166a7d03b466a41e68e11480ae6ca275140fe4c4507Brian Gaeke// Platform-independent wrappers for the C99 isinf() function.
167a7d03b466a41e68e11480ae6ca275140fe4c4507Brian Gaekeint IsInf (float f);
168a7d03b466a41e68e11480ae6ca275140fe4c4507Brian Gaekeint IsInf (double d);
169a7d03b466a41e68e11480ae6ca275140fe4c4507Brian Gaeke
170d0fde30ce850b78371fd1386338350591f9ff494Brian Gaeke} // End llvm namespace
171d0fde30ce850b78371fd1386338350591f9ff494Brian Gaeke
17254ea60c69e69b8e5a464a1d7688ceec5c68bacd5Chris Lattner#endif
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