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#### Triangular Matrices -- Coercion and Methods

setAs("dtrMatrix", "dgeMatrix",
      function(from) .Call("dtrMatrix_as_dgeMatrix", from, PACKAGE = "Matrix"))

setAs("dtrMatrix", "dtpMatrix",
      function(from) .Call("dtrMatrix_as_dtpMatrix", from, PACKAGE = "Matrix"))

## needed for t() method
setAs("dtrMatrix", "matrix",
      function(from) .Call("dtrMatrix_as_matrix", from, PACKAGE = "Matrix"))

setAs("matrix", "dtrMatrix",
      function(from) as(as(from, "dgeMatrix"), "dtrMatrix"))

## Group Methods:
## TODO: carefully check for the cases where the result remains triangular
## instead : inherit them from "dgeMatrix" via definition in ./dMatrix.R

## Note: Just *because* we have an explicit  dtr -> dge coercion,
##       show( <ddenseMatrix> ) is not okay, and we need our own:
setMethod("show", "dtrMatrix", function(object) prMatrix(object))


setMethod("%*%", signature(x = "dtrMatrix", y = "dgeMatrix"),
      function(x, y) .Call("dtrMatrix_matrix_mm", x, y, TRUE, FALSE, PACKAGE = "Matrix"),
          valueClass = "dgeMatrix")

setMethod("%*%", signature(x = "dtrMatrix", y = "matrix"),
      function(x, y) .Call("dtrMatrix_matrix_mm", x, y, FALSE, FALSE, PACKAGE = "Matrix"),
          valueClass = "dgeMatrix")

setMethod("%*%", signature(x = "dgeMatrix", y = "dtrMatrix"),
      function(x, y) .Call("dtrMatrix_matrix_mm", y, x, TRUE, TRUE, PACKAGE = "Matrix"),
          valueClass = "dgeMatrix")

setMethod("%*%", signature(x = "matrix", y = "dtrMatrix"),
      function(x, y) .Call("dtrMatrix_matrix_mm", y, x, FALSE, TRUE, PACKAGE = "Matrix"),
          valueClass = "dgeMatrix")

setMethod("%*%", signature(x = "dtrMatrix", y = "dtrMatrix"),
      function(x, y) callNextMethod())

setMethod("crossprod", signature(x = "dtrMatrix", y = "missing"),
      function(x, y = NULL) callNextMethod(),
      valueClass = "dpoMatrix")

setMethod("determinant", signature(x = "dtrMatrix", logarithm = "missing"),
      function(x, logarithm, ...) callGeneric(x, TRUE))

setMethod("determinant", signature(x = "dtrMatrix", logarithm = "logical"),
      function(x, logarithm, ...) {
          dg <- diag(x)
          if (logarithm) {
          modulus <- sum(log(abs(dg)))
          sgn <- prod(sign(dg))
          } else {
          modulus <- prod(dg)
          sgn <- sign(modulus)
          modulus <- abs(modulus)
          }
          attr(modulus, "logarithm") <- logarithm
          val <- list(modulus = modulus, sign = sgn)
          class(val) <- "det"
          val
      })

setMethod("norm", signature(x = "dtrMatrix", type = "character"),
      function(x, type, ...)
      .Call("dtrMatrix_norm", x, type, PACKAGE = "Matrix"),
      valueClass = "numeric")

setMethod("norm", signature(x = "dtrMatrix", type = "missing"),
      function(x, type, ...)
      .Call("dtrMatrix_norm", x, "O", PACKAGE = "Matrix"),
      valueClass = "numeric")

setMethod("rcond", signature(x = "dtrMatrix", type = "character"),
      function(x, type, ...)
      .Call("dtrMatrix_rcond", x, type, PACKAGE = "Matrix"),
      valueClass = "numeric")

setMethod("rcond", signature(x = "dtrMatrix", type = "missing"),
      function(x, type, ...)
      .Call("dtrMatrix_rcond", x, "O", PACKAGE = "Matrix"),
      valueClass = "numeric")

setMethod("solve", signature(a = "dtrMatrix", b="missing"),
      function(a, b, ...)
      .Call("dtrMatrix_solve", a, PACKAGE = "Matrix"),
      valueClass = "dtrMatrix")

setMethod("solve", signature(a = "dtrMatrix", b="dgeMatrix"),
      function(a, b, ...)
          .Call("dtrMatrix_matrix_solve", a, b, TRUE, PACKAGE = "Matrix"),
      valueClass = "dgeMatrix")

setMethod("solve", signature(a = "dtrMatrix", b="matrix"),
      function(a, b, ...)
          .Call("dtrMatrix_matrix_solve", a, b, FALSE, PACKAGE = "Matrix"),
      valueClass = "dgeMatrix")

setMethod("t", signature(x = "dtrMatrix"), t_trMatrix)