Convert ternary coordinates to Cartesian space

Convert coordinates of a point in ternary space, in the format (a, b, c), to x and y coordinates of Cartesian space, which can be sent to standard functions in the 'graphics' package.

TernaryCoords(
  abc,
  b_coord = NULL,
  c_coord = NULL,
  direction = getOption("ternDirection", 1L),
  region = getOption("ternRegion", ternRegionDefault)
)

# S3 method for class 'matrix'
TernaryToXY(
  abc,
  b_coord = NULL,
  c_coord = NULL,
  direction = getOption("ternDirection", 1L),
  region = getOption("ternRegion", ternRegionDefault)
)

# S3 method for class 'numeric'
TernaryToXY(
  abc,
  b_coord = NULL,
  c_coord = NULL,
  direction = getOption("ternDirection", 1L),
  region = getOption("ternRegion", ternRegionDefault)
)

TernaryToXY(
  abc,
  b_coord = NULL,
  c_coord = NULL,
  direction = getOption("ternDirection", 1L),
  region = getOption("ternRegion", ternRegionDefault)
)

Arguments

abc

A vector of length three giving the position on a ternary plot that points in the direction specified by direction (1 = up, 2 = right, 3 = down, 4 = left). c(100, 0, 0) will plot in the direction-most corner; c(0, 100, 0) will plot in the corner clockwise of direction; c(0, 0, 100) will plot in the corner anti-clockwise of direction. Alternatively, the a coordinate can be specified as the first parameter, in which case the b and c coordinates must be specified via b_coord and c_coord. Or, a matrix with three rows, representing in turn the a, b and c coordinates of points.

b_coord

The b coordinate, if abc is a single number.

c_coord

The c coordinate, if abc is a single number.

direction

(optional) Integer specifying the direction that the current ternary plot should point: 1, up; 2, right; 3, down; 4, left.

region

(optional) Named list of length two specifying the the minimum and maximum values of each ternary axis to be drawn (e.g. list(min = c(40, 0, 0), max = c(100, 60, 60)); or a set of coordinates in a format accepted by TernaryPoints(). The plotted region will correspond to the smallest equilateral triangle that encompasses the specified ranges or coordinates.

Value

TernaryCoords() returns a vector of length two that converts the coordinates given in abc into Cartesian (x, y) coordinates corresponding to the plot created by the last call of TernaryPlot().

See also

• TernaryPlot()

Other coordinate translation functions: ReflectedEquivalents(), TriangleCentres(), XYToTernary()

Author

Martin R. Smith (martin.smith@durham.ac.uk)

Examples

TernaryCoords(100, 0, 0)
#> [1] 0.0000000 0.8660254
TernaryCoords(c(0, 100, 0))
#> [1] 0.5 0.0

coords <- matrix(1:12, nrow = 3)
TernaryToXY(coords)
#>          [,1]        [,2]        [,3]        [,4]
#> x -0.08333333 -0.03333333 -0.02083333 -0.01515152
#> y  0.14433757  0.23094011  0.25259074  0.26243194