Modern Math CPolar

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CPolar

Builds a complex number from a modulus and an angle in radians.

Syntax

CPolar( byval r as float64, byval theta as float64 ) as Complex

Notes

• The inverse of CAbs and CArg taken together: CPolar( CAbs( z ), CArg( z ) ) reproduces z.
• theta is in radians, measured anticlockwise from the positive real axis.
• A zero modulus collapses to the origin whatever the angle.
• AfxNova spelled this both CPolar and CFromPolarCoordinates; .NET calls it FromPolarCoordinates.

Examples

#import "std/numeric"
using numeric

print CToString( CPolar( 2.0, 0.0 ) )                   '' 2+0i   -- theta = 0 is the positive real axis
print CToString( CPolar( 5.0, CArg( CSet( 3, 4 ) ) ) )  '' 3.0000000000000004+3.9999999999999996i   -- back to 3+4i, near enough
print CAbs( CPolar( 1.5, 2.0 ) )                        '' 1.5   -- the modulus survives any angle

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Library: Math Library
Category: Math Library
Documented under: Members