PCS2CCS {RoundAndRound}

Convert Polar Coordinate System to Cartesian Coordinate System.

Description

Convert Polar Coordinate System to Cartesian Coordinate System.

Usage

PCS2CCS(theta = 0:360, a = 1, ab = 1, orig = c(0, 0),
  rotation = 0, clockwise = FALSE)

Arguments

theta

angle in PCS.

a

Semi-major (Ellipse) or Radium (Ring).

ab

Semi-major over semi-minor. ab=1 for a Ring.

orig

Reference orgin. Default = c(0, 0)

rotation

Rotation of the theta=0

clockwise

Whether clockwise, Default = FALSE

Value

(x,y) in Cartesian Coordinate System.

Examples

x1=PCS2CCS(a=10, ab=1.5)
x2=PCS2CCS(a=9, ab=1.2)
c1 = ab2c(a=10, ab=1.5)
c2 = ab2c(a=9, ab=1.2)

plot(x1, type='n', xlim=c(-10,10), ylim=c(-10,10), asp=1)
abline(h=0, v=0, asp=1, lty=2)
lines(x1, col=2);
points(c1, 0, col=2)
lines(x2, col=3);
points(c2, 0, col=3)

# Test 2
x1=PCS2CCS(a=10, ab=1.5, clockwise = FALSE, rotation=0);
x2=PCS2CCS(a=8, ab=1.5, clockwise = FALSE, rotation=45);
plot(x1, asp=1, col=terrain.colors(nrow(x1)), pch=19)
points(x2, asp=1, col=terrain.colors(nrow(x1)))