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Extrema C/C++ Macros
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This document is a part of a collection of macros. For introductory remarks, see the first part (General Purpose Macros).
For a review of macro-syntax rules and related tips and tricks, see Writing Macros.
For the typedefs DWORD, WORD, BYTE and CHAR, click here.
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| CATEGORY |
MACRO |
MAXIMUM and MINIMUM
Values
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mMax,
mMax2,
mMax3,
mMax4,
mMax5,
mMax6
mMin,
mMin2,
mMin3,
mMin4,
mMin5,
mMin6
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MAXIMUM and MINIMUM
Absolute Values
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mMaxAbs,
mMaxAbs2,
mMaxAbs3,
mMaxAbs4,
mMaxAbs5,
mMaxAbs6
mMinAbs,
mMinAbs2,
mMinAbs3,
mMinAbs4,
mMinAbs5,
mMinAbs6
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EXTREME Values (signed)
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mExtreme,
mExtreme2,
mExtreme3,
mExtreme4,
mExtreme5,
mExtreme6
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RANGES
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mRange,
mRange2,
mRange3,
mRange4,
mRange5,
mRange6
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Maximum and Minimum Values
Code:
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#define mMax(a,b) (mIsGT(b,a)?(b):(a))
#define mMax2(a,b) mMax(a,b)
#define mMax3(a,b,c) mMax(a,mMax(b,c))
#define mMax4(a,b,c,d) mMax(mMax(a,b),mMax(c,d))
#define mMax5(a,b,c,d,e) mMax(mMax(a,b),mMax3(c,d,e))
#define mMax6(a,b,c,d,e,f) mMax(mMax3(a,b,c),mMax3(d,e,f))
#define mMin(a,b) (mIsLT(b,a)?(b):(a))
#define mMin2(a,b) mMin(a,b)
#define mMin3(a,b,c) mMin(a,mMin(b,c))
#define mMin4(a,b,c,d) mMin(mMin(a,b),mMin(c,d))
#define mMin5(a,b,c,d,e) mMin(mMin(a,b),mMin3(c,d,e))
#define mMin6(a,b,c,d,e,f) mMin(mMin3(a,b,c),mMin3(d,e,f))
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Arguments:
a through f stand for any entities (including expressions) which are compatible with the relational operators > (for maximum searches) or < (for minimum searches).
These macros rely on the macros
mIsGT and
mIsLT.
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mMax(a,b),
mMax2(a,b),
mMax3(a,b,c),
mMax4(a,b,c,d),
mMax5(a,b,c,d,e),
mMax6(a,b,c,d,e,f)
- return the largest value of their arguments.
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mMin(a,b),
mMin2(a,b),
mMin3(a,b,c),
mMin4(a,b,c,d),
mMin5(a,b,c,d,e),
mMin6(a,b,c,d,e,f)
- return the smallest value of their arguments.
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Maximum and Minimum Absolute Values
Code:
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#define mMaxAbs(a,b) mMax(mAbs(a),mAbs(b))
#define mMaxAbs2(a,b) mMaxAbs(a,b)
#define mMaxAbs3(a,b,c) mMax3(mAbs(a),mAbs(b),mAbs(c))
#define mMaxAbs4(a,b,c,d) mMax4(mAbs(a),mAbs(b),mAbs(c),mAbs(d))
#define mMaxAbs5(a,b,c,d,e) mMax5(mAbs(a),mAbs(b),mAbs(c),mAbs(d),mAbs(e))
#define mMaxAbs6(a,b,c,d,e,f) mMax6(mAbs(a),mAbs(b),mAbs(c),mAbs(d),mAbs(e),mAbs(f))
#define mMinAbs(a,b) mMin(mAbs(a),mAbs(b))
#define mMinAbs2(a,b) mMinAbs(a,b)
#define mMinAbs3(a,b,c) mMin3(mAbs(a),mAbs(b),mAbs(c))
#define mMinAbs4(a,b,c,d) mMin4(mAbs(a),mAbs(b),mAbs(c),mAbs(d))
#define mMinAbs5(a,b,c,d,e) mMin5(mAbs(a),mAbs(b),mAbs(c),mAbs(d),mAbs(e))
#define mMinAbs6(a,b,c,d,e,f) mMin6(mAbs(a),mAbs(b),mAbs(c),mAbs(d),mAbs(e),mAbs(f))
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Arguments:
a through f stand for any entities (including expressions) which are compatible with the relational operators > (for maximum searches) or < (for minimum searches).
These macros rely on the relational macros
mIsGT,
mIsLT and
mAbs.
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mMaxAbs(a,b),
mMaxAbs2(a,b),
mMaxAbs3(a,b,c),
mMaxAbs4(a,b,c,d),
mMaxAbs5(a,b,c,d,e),
mMaxAbs6(a,b,c,d,e,f)
- return the largest of the absolute values of their arguments.
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mMinAbs(a,b),
mMinAbs2(a,b),
mMinAbs3(a,b,c),
mMinAbs4(a,b,c,d),
mMinAbs5(a,b,c,d,e),
mMinAbs6(a,b,c,d,e,f)
- return the smallest of the absolute values of their arguments.
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Extreme Values (signed)
Code:
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#define mExtreme(a,b) (mIsGT(mAbs(b),mAbs(a))?(b):(a))
#define mExtreme2(a,b) mExtreme(a,b)
#define mExtreme3(a,b,c) mExtreme(a,mExtreme(b,c))
#define mExtreme4(a,b,c,d) mExtreme(mExtreme(a,b),mExtreme(c,d))
#define mExtreme5(a,b,c,d,e) mExtreme(mExtreme(a,b),mExtreme3(c,d,e))
#define mExtreme6(a,b,c,d,e,f) mExtreme(mExtreme3(a,b,c),mExtreme3(d,e,f))
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Arguments:
a through f stand for any entities (including expressions) which are compatible with the relational operator >.
These macros rely on the relational macro mIsGT.
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mExtreme(a,b),
mExtreme2(a,b),
mExtreme3(a,b,c),
mExtreme4(a,b,c,d),
mExtreme5(a,b,c,d,e),
mExtreme6(a,b,c,d,e,f)
- return the (signed) value of the argument which has the largest absolute value.
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Ranges
Code:
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#define mRange(a,b) (mMax(a,b)-nMin(a,b))
#define mRange2(a,b) mRange(a,b)
#define mRange3(a,b,c) (mMax(a,b,c)-nMin(a,b,c))
#define mRange4(a,b,c,d) (mMax(a,b,c,d)-nMin(a,b,c,d))
#define mRange5(a,b,c,d,e) (mMax(a,b,c,d,e)-nMin(a,b,c,d,e))
#define mRange6(a,b,c,d,e,f) (mMax(a,b,c,d,e,f)-nMin(a,b,c,d,e,f))
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Arguments:
a through f stand for any entities (including expressions) which are compatible with the relational operator >.
These macros rely on the relational macro mIsGT.
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mRange(a,b),
mRange2(a,b),
mRange3(a,b,c),
mRange4(a,b,c,d),
mRange5(a,b,c,d,e),
mRange6(a,b,c,d,e,f)
- return the difference between the maximum and minimum argument values.
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