{
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  "Package": "itp",
  "Type": "Package",
  "Title": "The Interpolate, Truncate, Project (ITP) Root-Finding Algorithm",
  "Version": "1.2.2",
  "Date": "2026-01-09",
  "Authors@R": "person(c(\"Paul\", \"J.\"), \"Northrop\", email = \"p.northrop@ucl.ac.uk\",\nrole = c(\"aut\", \"cre\", \"cph\"))",
  "Description": "Implements the Interpolate, Truncate, Project (ITP)\nroot-finding algorithm developed by Oliveira and Takahashi\n(2021) <doi:10.1145/3423597>. The user provides the function,\nfrom the real numbers to the real numbers, and an interval with\nthe property that the values of the function at its endpoints\nhave different signs. If the function is continuous over this\ninterval then the ITP method estimates the value at which the\nfunction is equal to zero. If the function is discontinuous\nthen a point of discontinuity at which the function changes\nsign may be found. The function can be supplied using either an\nR function or an external pointer to a C++ function. Tuning\nparameters of the ITP algorithm can be set by the user. Default\nvalues are set based on arguments in Oliveira and Takahashi\n(2021).",
  "License": "GPL (>= 2)",
  "Encoding": "UTF-8",
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  "URL": "https://paulnorthrop.github.io/itp/,\nhttps://github.com/paulnorthrop/itp",
  "BugReports": "https://github.com/paulnorthrop/itp/issues",
  "Config/testthat/edition": "3",
  "Repository": "https://paulnorthrop.r-universe.dev",
  "Date/Publication": "2026-01-24 19:47:29 UTC",
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  "Author": "Paul J. Northrop [aut, cre, cph]",
  "Maintainer": "Paul J. Northrop <p.northrop@ucl.ac.uk>",
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    "itp",
    "itp-method",
    "root-finding",
    "cpp"
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      "title": "itp: The Interpolate, Truncate, Project (ITP) Root-Finding Algorithm",
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      ]
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      "page": "itp",
      "title": "The ITP root-finding algorithm",
      "topics": [
        "itp"
      ]
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      "page": "itp_c",
      "title": "The ITP root-finding algorithm using C++",
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        "itp_c"
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      "title": "Plot method for objects of class '\"itp\"'",
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      "title": "Print method for objects of class '\"itp\"'",
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      "source": "itp-vignette.Rmd",
      "filename": "itp-vignette.html",
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      "author": "Paul Northrop",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Supplying to itp an R function",
        "Well-behaved functions",
        "Lambert: $f(x) = x e^x - 1$",
        "Trigonometric 1: $f(x) = \\tan(x - 1 / 10)$",
        "Ill-behaved functions",
        "Polynomial 3 (non-simple root): $f(x) = (10^6 x - 1) ^ 3$",
        "Staircase (discontinuous): $f(x) = \\lceil 10 x - 1 \\rceil + 1/2$",
        "Warsaw (multiple roots): $f(x) = I(x > -1)\\left(1 + \\sin\\left(\\frac{1}{1+x}\\right)\\right)-1$",
        "Supplying to itp an external pointer to a C++ function",
        "C++ function itp_c",
        "Plot method",
        "References"
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      "modified": "2022-07-16 10:49:00",
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