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#### Triangular Matrices -- Coercion and Methods

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

setAs("dtrMatrix", "matrix",
      function(from) .Call("dtrMatrix_as_matrix", from) )

setMethod("%*%", signature(x = "dtrMatrix", y = "dgeMatrix"),
      function(x, y) .Call("dtrMatrix_dgeMatrix_mm", x, y))

setMethod("%*%", signature(x = "dgeMatrix", y = "dtrMatrix"),
      function(x, y) .Call("dtrMatrix_dgeMatrix_mm_R", y, x))

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

setMethod("determinant", signature(x = "dtrMatrix", logarithm = "missing"),
      function(x, logarithm, ...) determinant(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),
      valueClass = "numeric")

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

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

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

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

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

setMethod("t", signature(x = "dtrMatrix"),
      function(x) {
          val <- new("dtrMatrix", Dim = x@Dim, x = t(as(x, "matrix"))@x)
          if (x@uplo == "U") val@uplo <- "L"
          if (x@diag == "U") val@diag <- "U"
          val
      }, valueClass = "dtrMatrix")