#include "MusimatTutorial.h"
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MusimatTutorialSection (B0400) |
MusimatTutorialSection | ( | B0400 | ) |
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{ Print("*** B.4 Operator Associativity and Precedence in Musimat ***"); /***************************************************************************** B.4 Operator Associativity and Precedence in Musimat To keep it simple, the Musimat expressions in this book are formatted to obey simple left-to-right evaluation. In fact, the rules are a little more complex because Musimat is basically C++ in sheep's clothing. Table B.2 Operator Precedence and Associativity -------------------------------------------------------------------------------------------------------- Operator Associativity Description Examples ( ) left to right grouping a * (x+y) == ax + ay - right to left negation -3 == -1 * 3 * / left to right multiplication and division a * b, a / b % left to right remainder after integer division 10 % 3 == 1, 12 % 3 == 0 + - left to right addition and subtraction a + b, a - b < <= > >= left to right less-than, less-than-or-equal, a < b, a <= b greater-than, greater-than-or-equal a > b, a >= b == != left to right equal, not equal a == b, a != b And left to right logical AND False And False == False False And True == False True And False == False True And True == True Or left to right logical OR False Or False == False False Or True == True True Or False == True True Or True == True = right to left assignment a = b, a = b + c Associativity of operators is generally left to right, except for assignment and negation. For example the expression a = c = d assigns the value d to c, then assigns c to a, thereby making all three have equal value. Table B.2 shows Musimat's simplified operator precedence and associativity in order from highest to lowest. This precedence list is a shortened version derived from C and C++. Since you can't effectively read or write computer programs unless you have memorized these rules of oper- ator precedence and associativity, experts recommend that you study these tables while you brush your teeth every night (Press et al. 1988, 23). Warning: some expressions that might seem to have self-evident meaning can't be expressed as such in C/C++ and so don't work in Musimat either. Take the expression c > b > a, for exam- ple. You'd hope it would test whether b lies between a and c. Alas. Consider this example: If (3 > 2 > 1) Print("True") Else Print("False") It first evaluates (3 > 2), which it discovers is True, and replaces this expression with the integer 1 (which stands for True in C++). It then evaluates the expression ( 1 > 1 ) which is False. Prob- ably not what we wanted. This example can be rewritten as follows: *****************************************************************************/ If (3 > 2 And 2 > 1) Print("True"); Else Print("False"); /***************************************************************************** which will print True. *****************************************************************************/ }