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evalrC

evaluate an expression using complex range arithmetic

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

evalrC(expr)

Parameters

expr

-

any expression

Description

• 

The evalrC function evaluates an expr containing complex intervals written INTERVAL(a, b, c, d) which denote complex values guaranteed to be in the rectangle with corners a+b*i and c+d*i.

• 

Unknown variables are by default assumed to be INTERVAL(-infinity, -infinity, infinity, infinity), i.e. they take on any possible complex value.

• 

The function evalrC can be called with an expr without ranges in it.  In this case the decision functions min, max, abs, signum, csgn, Re and Im are evaluated using range arithmetic.

Examples

evalrCπ

INTERVAL3.141592653,0,3.141592654,0

(1)

evalrCarccosⅇ10+9x5+5x3+29

INTERVAL29,∞,32.14159266,∞

(2)

evalrCln12arctanarccosh42x28x+637

INTERVAL2.396833377,0.04793705575,2.508838572,0.04793705575

(3)

evalrC116514+ln5657+5x64+10x+516+cosh6331+9x312ⅇlnxx+717

INTERVAL717,0,∞,0

(4)

See Also

abs

csgn

evalr

Im

max

min

Re

signum

 


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