{
  "$comment": "Machine-readable companion to https://valem.run/calculators/iceland/holiday-entitlement. Formula, inputs, outputs, engine-verified test vectors, cited sources and the re-runnable Valem ModelSpec behind the page.",
  "url": "https://valem.run/calculators/iceland/holiday-entitlement",
  "dataUrl": "https://valem.run/calculators/iceland/holiday-entitlement.json",
  "license": {
    "name": "CC BY 4.0",
    "url": "https://creativecommons.org/licenses/by/4.0/",
    "attribution": "Iceland orlof model by Valem (https://valem.run/calculators/iceland/holiday-entitlement), CC BY 4.0.",
    "note": "Covers the model — the expression of each rule and the arrangement of the catalog. The rates and thresholds themselves are law and are not licensed by anyone; the cited sources are where they come from."
  },
  "verificationUrl": "https://valem.run/calculators/iceland/holiday-entitlement/verify",
  "country": "iceland",
  "countryName": "Iceland",
  "formula": "holiday-entitlement",
  "formulaName": "Orlof",
  "title": "Orlofsréttur 2026 — Tveir Dagar Fyrir Hvern Unninn Mánuð",
  "answer": "Article 3 of lög 30/1987 gives two orlofsdagar for each worked month of the leave year, counting half a month or more as a whole month — so a full year is 24 days. Sundays, public holidays and the first five Saturdays of the leave do not count as orlofsdagar, which means that for a Monday-to-Friday week all 24 are working days actually taken off.",
  "lang": "en",
  "currency": "ISK",
  "taxYear": "2026",
  "verification": {
    "claim": "internal-consistency",
    "statement": "The Valem engine reproduces this model's stated formula through 8 self-test cases (below, and re-runnable against the spec). That asserts internal consistency, NOT that the formula matches current law — the cited sources are the evidence for that, and carry the date each was last checked.",
    "selfTestCases": 8,
    "ratesAreIllustrative": false,
    "sourcesCheckedOn": "2026-10-11"
  },
  "sources": [
    {
      "label": "Lög um orlof 30/1987, 3. gr. — althingi.is (two orlofsdagar per worked month; half a month counts as a whole one; Sundays, public holidays and the first five Saturdays of the leave are not orlofsdagar)",
      "url": "https://www.althingi.is/lagas/nuna/1987030.html",
      "checked": "2026-10-11"
    }
  ],
  "terminalOutput": "daysRemaining",
  "headlineOutput": "daysEntitled",
  "inputs": [
    {
      "name": "monthsWorked",
      "type": "number",
      "label": "Months worked in the leave year (1 May – 30 April)",
      "minimum": 0,
      "maximum": 12
    },
    {
      "name": "daysTaken",
      "type": "number",
      "label": "Orlofsdagar already taken",
      "minimum": 0
    }
  ],
  "outputs": [
    {
      "name": "countedMonths",
      "type": "number",
      "formula": "($m := $clampFloorCap($n(monthsWorked), 0, $const.monthsPerYear); $whole := $floor($m); $frac := $m - $whole; $frac >= $const.halfMonthThreshold ? $whole + 1 : $whole)"
    },
    {
      "name": "orlofsdagarEntitled",
      "type": "number",
      "formula": "countedMonths * $const.daysPerWorkedMonth"
    },
    {
      "name": "weeksOfLeave",
      "type": "number",
      "formula": "($d := orlofsdagarEntitled; $plain := $const.freeSaturdays * $const.workingDaysPerWeek; $d <= $plain ? $round($d / $const.workingDaysPerWeek, 2) : $round($const.freeSaturdays + ($d - $plain) / ($const.workingDaysPerWeek + 1), 2))"
    },
    {
      "name": "daysEntitled",
      "type": "number",
      "formula": "orlofsdagarEntitled"
    },
    {
      "name": "daysRemaining",
      "type": "number",
      "formula": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
    }
  ],
  "testCases": [
    {
      "description": "N1 a full leave year is 24 orlofsdagar, which is 4,8 Monday-to-Friday weeks",
      "given": {
        "monthsWorked": 12,
        "daysTaken": 0
      },
      "expect": {
        "countedMonths": 12,
        "orlofsdagarEntitled": 24,
        "weeksOfLeave": 4.8,
        "daysEntitled": 24
      }
    },
    {
      "description": "N2 six months earns half of it",
      "given": {
        "monthsWorked": 6,
        "daysTaken": 0
      },
      "expect": {
        "orlofsdagarEntitled": 12,
        "daysEntitled": 12
      }
    },
    {
      "description": "N3 half a month rounds UP to a whole month",
      "given": {
        "monthsWorked": 7.5,
        "daysTaken": 0
      },
      "expect": {
        "countedMonths": 8,
        "orlofsdagarEntitled": 16
      }
    },
    {
      "description": "N4 just under half a month counts for nothing",
      "given": {
        "monthsWorked": 7.4,
        "daysTaken": 0
      },
      "expect": {
        "countedMonths": 7,
        "orlofsdagarEntitled": 14
      }
    },
    {
      "description": "N5 the threshold is AT a half, so exactly .5 rounds up",
      "given": {
        "monthsWorked": 0.5,
        "daysTaken": 0
      },
      "expect": {
        "countedMonths": 1,
        "orlofsdagarEntitled": 2
      }
    },
    {
      "description": "N6 under half a month in total earns nothing at all",
      "given": {
        "monthsWorked": 0.4,
        "daysTaken": 0
      },
      "expect": {
        "countedMonths": 0,
        "daysEntitled": 0
      }
    },
    {
      "description": "N7 days already taken come off the remainder",
      "given": {
        "monthsWorked": 12,
        "daysTaken": 10
      },
      "expect": {
        "daysRemaining": 14
      }
    },
    {
      "description": "N8 taking more than the entitlement never goes negative",
      "given": {
        "monthsWorked": 12,
        "daysTaken": 40
      },
      "expect": {
        "daysRemaining": 0
      }
    }
  ],
  "spec": {
    "id": "holiday-entitlement-iceland",
    "version": "1.0.0",
    "schema": {
      "type": "object",
      "properties": {
        "monthsWorked": {
          "type": "number",
          "maximum": 12,
          "minimum": 0
        },
        "daysTaken": {
          "type": "number",
          "minimum": 0
        },
        "countedMonths": {
          "type": "number",
          "readOnly": true
        },
        "orlofsdagarEntitled": {
          "type": "number",
          "readOnly": true
        },
        "weeksOfLeave": {
          "type": "number",
          "readOnly": true
        },
        "daysEntitled": {
          "type": "number",
          "readOnly": true
        },
        "daysRemaining": {
          "type": "number",
          "readOnly": true
        }
      }
    },
    "constants": {
      "daysPerWorkedMonth": 2,
      "halfMonthThreshold": 0.5,
      "freeSaturdays": 5,
      "monthsPerYear": 12,
      "workingDaysPerWeek": 5
    },
    "library": {
      "layers": [
        {
          "id": "statutory",
          "define": "(\n  /* Shared statutory helpers — the canonical copy (docs/sandbox/d8-statutory-families.md §5.4).\n     DO NOT EDIT A SPEC'S INLINED COPY. Edit this file and run `npm run sync:helpers`; a vitest\n     assertion and a Java assertion both require every inlined copy to be byte-identical to this one.\n\n     Why inlined rather than referenced: the `library` section's `ref` form — a library shared\n     between models — is still proposed, gated on the model-references design (see\n     ../../../../docs/design/library/jsonata-library.md). Inlining keeps each spec self-contained,\n     which is what lets `#e=` embedding, `#share=` import and MCP forking work with no resolver.\n\n     TWO TRAPS, both of which fail SILENTLY and both of which bit during the debt-payoff build:\n\n       1. A library function sees ONLY its arguments. It cannot read the consuming document — not\n          through a bare field name, not through `$`, not through `$$`. Everything these helpers\n          need is passed in. (`$const` is late-bound and so would resolve, but relying on it would\n          couple a shared helper to one spec's constant names.)\n       2. ONE null member wrecks a whole aggregate, and the two engines disagree about how. The JS\n          reference implementation THROWS (\"Argument 1 of function sum must be an array of\n          numbers\"); the Java port can instead yield null for the entire aggregate. Neither gives a\n          partial total, and the null-yielding form is the dangerous one because it is silent. So\n          callers coerce with `$n()` below before aggregating, which makes the behaviour identical\n          in both engines — measured, not assumed: see helpers.test.ts.\n\n       3. A PATH STEP DIRECTLY ON A CALL RESULT RETURNS NOTHING in the Java engine. This matters for\n          every caller of $amortize, which is the one helper here returning an object:\n\n              $amortize(p, r, n, 0).months            -> empty in Java, 360 in JS.  WRONG\n              ($a := $amortize(p, r, n, 0); $a.months) -> 360 in both.               RIGHT\n\n          Bind the result to a variable, then step into it. The JS reference accepts both forms, so\n          this is invisible until the page is served by the real engine, and it fails as a blank\n          field rather than an error. Measured with a probe, not inferred — the field simply does\n          not appear. */\n\n  /* Number coercion with an explicit zero default. The guard against trap 2. */\n  $n := function($v) { $v = null or $not($exists($v)) ? 0 : $number($v) };\n\n  /* ISO date -> its year / month / day parts. String slicing rather than $fromMillis formatting:\n     these are statutory dates (\"2026-04-06\"), and a timezone-sensitive round-trip through millis\n     can shift the day, which silently moves a service anniversary across a band boundary. */\n  $isoY := function($d) { $number($substring($d, 0, 4)) };\n  $isoM := function($d) { $number($substring($d, 5, 2)) };\n  $isoD := function($d) { $number($substring($d, 8, 2)) };\n\n  /* Whole years of completed service between two ISO dates. Counts an anniversary as reached only\n     when the month-and-day has arrived, which is what \"completed years of service\" means in every\n     severance statute — not a 365.25-day division, whose drift crosses a 5-year band boundary in\n     the wrong direction roughly one year in four. */\n  $yearsBetween := function($from, $to) { (\n    $y := $isoY($to) - $isoY($from);\n    $beforeAnniversary := $isoM($to) < $isoM($from)\n      or ($isoM($to) = $isoM($from) and $isoD($to) < $isoD($from));\n    $beforeAnniversary ? $y - 1 : $y\n  ) };\n\n  /* Whole completed months between two ISO dates, same convention. */\n  $monthsBetween := function($from, $to) { (\n    $m := ($isoY($to) - $isoY($from)) * 12 + ($isoM($to) - $isoM($from));\n    $isoD($to) < $isoD($from) ? $m - 1 : $m\n  ) };\n\n  /* Inclusive count of days between two ISO dates — both endpoints counted, because a leave year\n     runs from its first day to its last and an employee present on both is present for both.\n     Pro-rata accrual is then $proRataDays(a, b) / $proRataDays(yearStart, yearEnd). */\n  $proRataDays := function($from, $to) {\n    ($toMillis($to) - $toMillis($from)) / 86400000 + 1\n  };\n\n  /* Progressive charge across bands. `$bands` is ordered lowest-first, each {\"upTo\": n, \"rate\": r};\n     the final band's `upTo` is omitted or null to mean \"no ceiling\". Each band's rate applies ONLY\n     to the slice of the amount inside it — the single most common error in a hand-written bracket\n     walk is applying the top rate to the whole amount. Returns 0 for a non-positive amount. */\n  $bandedCharge := function($amount, $bands) { (\n    $a := $n($amount);\n    $a <= 0 ? 0 : $reduce($bands, function($acc, $band) { (\n      $ceiling := $exists($band.upTo) and $band.upTo != null ? $band.upTo : $a;\n      $top := $ceiling < $a ? $ceiling : $a;\n      $slice := $top - $acc.floor;\n      {\n        \"floor\": $top > $acc.floor ? $top : $acc.floor,\n        \"charge\": $acc.charge + ($slice > 0 ? $slice * $n($band.rate) : 0)\n      }\n    ) }, {\"floor\": 0, \"charge\": 0}).charge\n  ) };\n\n  /* Clamp into [floor, cap]. Either bound may be omitted (null) to leave that side open — a benefit\n     with a cap and no floor is as common as one with both. */\n  $clampFloorCap := function($value, $floor, $cap) { (\n    $v := $n($value);\n    $withFloor := $exists($floor) and $floor != null and $v < $floor ? $floor : $v;\n    $exists($cap) and $cap != null and $withFloor > $cap ? $cap : $withFloor\n  ) };\n\n  /* Level annuity payment for a principal over `$months` at `$annualRatePct` nominal, compounded\n     monthly. Falls back to straight-line division at a zero rate, where the standard formula\n     divides by zero. */\n  $annuityPayment := function($principal, $annualRatePct, $months) { (\n    $p := $n($principal);\n    $m := $n($months);\n    $i := $n($annualRatePct) / 1200;\n    $m <= 0 ? 0 : ($i = 0 ? $p / $m : $p * $i * $power(1 + $i, $m) / ($power(1 + $i, $m) - 1))\n  ) };\n\n  /* Amortisation schedule: one row per month until the balance clears or `$months` is reached.\n     Returns {\"payment\", \"months\", \"totalInterest\", \"schedule\": [{month, interest, principal,\n     balance}]}. `$extra` is an optional monthly overpayment.\n\n     A real month-by-month fold rather than a closed form, because an overpayment changes every\n     later row — the same reason debt-payoff simulates. Bounded by `$months`, so it always\n     terminates. */\n  $amortize := function($principal, $annualRatePct, $months, $extra) { (\n    $i := $n($annualRatePct) / 1200;\n    $pay := $annuityPayment($principal, $annualRatePct, $months) + $n($extra);\n    $r := $reduce([1..$n($months)], function($acc, $month) {\n      $acc.balance <= 0 ? $acc : (\n        /* The running balance is kept UNROUNDED and only the emitted row is rounded. Rounding the\n           balance each month instead accumulates drift: at 200,000 over 360 months it left 2.83\n           still owing in the final row, which would break the \"final balance is zero\" invariant\n           (§7.3) and look to a reader like the schedule does not pay the loan off. Lenders compute\n           on the exact balance and adjust the last payment, which is what this does. */\n        $interest := $acc.balance * $i;\n        $due := $acc.balance + $interest < $pay ? $acc.balance + $interest : $pay;\n        $principalPart := $due - $interest;\n        $balance := $acc.balance - $principalPart;\n        {\n          \"balance\": $balance,\n          \"totalInterest\": $acc.totalInterest + $interest,\n          \"schedule\": $append($acc.schedule, [{\n            \"month\": $month,\n            \"interest\": $round($interest, 2),\n            \"principal\": $round($principalPart, 2),\n            \"balance\": $round($balance, 2)\n          }])\n        }\n      )\n    }, {\"balance\": $n($principal), \"totalInterest\": 0, \"schedule\": []});\n    {\n      \"payment\": $round($pay, 2),\n      \"months\": $count($r.schedule),\n      \"totalInterest\": $round($r.totalInterest, 2),\n      \"schedule\": [$r.schedule]\n    }\n  ) };\n\n  [\"n\", \"isoY\", \"isoM\", \"isoD\", \"yearsBetween\", \"monthsBetween\", \"proRataDays\",\n   \"bandedCharge\", \"clampFloorCap\", \"annuityPayment\", \"amortize\"]\n)\n"
        }
      ]
    },
    "defaultValues": [
      {
        "path": "$",
        "expr": "{ 'monthsWorked': 12, 'daysTaken': 0 }"
      }
    ],
    "derivations": [
      {
        "path": "$.countedMonths",
        "expr": "($m := $clampFloorCap($n(monthsWorked), 0, $const.monthsPerYear); $whole := $floor($m); $frac := $m - $whole; $frac >= $const.halfMonthThreshold ? $whole + 1 : $whole)"
      },
      {
        "path": "$.orlofsdagarEntitled",
        "expr": "countedMonths * $const.daysPerWorkedMonth"
      },
      {
        "path": "$.weeksOfLeave",
        "expr": "($d := orlofsdagarEntitled; $plain := $const.freeSaturdays * $const.workingDaysPerWeek; $d <= $plain ? $round($d / $const.workingDaysPerWeek, 2) : $round($const.freeSaturdays + ($d - $plain) / ($const.workingDaysPerWeek + 1), 2))"
      },
      {
        "path": "$.daysEntitled",
        "expr": "orlofsdagarEntitled"
      },
      {
        "path": "$.daysRemaining",
        "expr": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
      }
    ],
    "constraints": [],
    "viewDefinition": {
      "renderer": "builtin",
      "defaultView": "main",
      "views": [
        {
          "id": "main",
          "label": "Orlof",
          "layout": "vertical",
          "components": [
            {
              "id": "note",
              "type": "staticText",
              "text": "3. gr. laga 30/1987: “Orlof skal vera tveir dagar fyrir hvern unninn mánuð á síðasta orlofsári... Sunnudagar og aðrir helgidagar teljast ekki orlofsdagar né heldur fyrstu fimm laugardagar í orlofi.” That last clause is the most precisely drawn unit in this whole comparison. Germany and Norway charge you for every Saturday; Sweden charges for none; Iceland gives you the first five of a leave free and charges from the sixth — and five free Saturdays cover 25 days of Monday-to-Friday leave against a maximum entitlement of 24, so for a standard week every one of your days is a day actually off."
            },
            {
              "id": "inputs",
              "type": "fieldSet",
              "label": "Þínar upplýsingar",
              "components": [
                {
                  "id": "monthsWorked",
                  "type": "numericField",
                  "label": "Months worked in the leave year (1 May – 30 April)",
                  "bind": "$.monthsWorked",
                  "helperText": "3. gr. counts half a month or more as a whole month, and anything shorter not at all — so 7,5 months earns eight months’ worth and 7,4 earns seven."
                },
                {
                  "id": "daysTaken",
                  "type": "numericField",
                  "label": "Orlofsdagar already taken",
                  "bind": "$.daysTaken"
                }
              ]
            },
            {
              "id": "sep",
              "type": "separatorLine"
            },
            {
              "id": "entitledTile",
              "type": "statTile",
              "label": "Orlofsdagar entitled",
              "value": "$.daysEntitled"
            },
            {
              "id": "remainingTile",
              "type": "statTile",
              "label": "Orlofsdagar remaining",
              "value": "$.daysRemaining"
            },
            {
              "id": "breakdown",
              "type": "keyValueList",
              "label": "How that is worked out",
              "items": [
                {
                  "label": "Months counted after 3. gr.’s half-month rule",
                  "value": "$.countedMonths"
                },
                {
                  "label": "Weeks of Monday-to-Friday leave this buys",
                  "value": "$.weeksOfLeave"
                }
              ]
            },
            {
              "id": "assumptions",
              "type": "staticText",
              "text": "This page reports orlofsdagar and the Monday-to-Friday weeks they buy, and deliberately does not convert for a six-day week: past five weeks of leave the Saturday rule makes the answer depend on how the leave is actually taken, and the maximum entitlement never reaches that point. 3. gr. also counts absence through illness or accident as working time while pay continues, and counts time already spent on leave, neither of which this page models. 4. gr. requires the leave to be given in one block between 2 May and 15 September and lets collective agreements shorten the summer leave to at least 14 days. The 10,17% minimum orlofslaunahlutfall is holiday PAY rather than days and is not computed. 2. gr. provides that the Act does not reduce a wider entitlement under other law, agreement or custom."
            },
            {
              "id": "sources",
              "type": "sourceList",
              "label": "Heimildir",
              "layers": 1,
              "exempt": [
                "monthsPerYear",
                "workingDaysPerWeek"
              ],
              "items": [
                {
                  "label": "Lög um orlof 30/1987, 3. gr. — althingi.is (two orlofsdagar per worked month; half a month counts as a whole one; Sundays, public holidays and the first five Saturdays of the leave are not orlofsdagar)",
                  "url": "https://www.althingi.is/lagas/nuna/1987030.html",
                  "date": "2026-10-11",
                  "covers": [
                    "daysPerWorkedMonth",
                    "halfMonthThreshold",
                    "freeSaturdays"
                  ]
                }
              ]
            }
          ]
        }
      ]
    },
    "tests": [
      {
        "description": "N1 a full leave year is 24 orlofsdagar, which is 4,8 Monday-to-Friday weeks",
        "given": {
          "$.monthsWorked": 12,
          "$.daysTaken": 0
        },
        "expect": {
          "$.countedMonths": 12,
          "$.orlofsdagarEntitled": 24,
          "$.weeksOfLeave": 4.8,
          "$.daysEntitled": 24
        }
      },
      {
        "description": "N2 six months earns half of it",
        "given": {
          "$.monthsWorked": 6,
          "$.daysTaken": 0
        },
        "expect": {
          "$.orlofsdagarEntitled": 12,
          "$.daysEntitled": 12
        }
      },
      {
        "description": "N3 half a month rounds UP to a whole month",
        "given": {
          "$.monthsWorked": 7.5,
          "$.daysTaken": 0
        },
        "expect": {
          "$.countedMonths": 8,
          "$.orlofsdagarEntitled": 16
        }
      },
      {
        "description": "N4 just under half a month counts for nothing",
        "given": {
          "$.monthsWorked": 7.4,
          "$.daysTaken": 0
        },
        "expect": {
          "$.countedMonths": 7,
          "$.orlofsdagarEntitled": 14
        }
      },
      {
        "description": "N5 the threshold is AT a half, so exactly .5 rounds up",
        "given": {
          "$.monthsWorked": 0.5,
          "$.daysTaken": 0
        },
        "expect": {
          "$.countedMonths": 1,
          "$.orlofsdagarEntitled": 2
        }
      },
      {
        "description": "N6 under half a month in total earns nothing at all",
        "given": {
          "$.monthsWorked": 0.4,
          "$.daysTaken": 0
        },
        "expect": {
          "$.countedMonths": 0,
          "$.daysEntitled": 0
        }
      },
      {
        "description": "N7 days already taken come off the remainder",
        "given": {
          "$.monthsWorked": 12,
          "$.daysTaken": 10
        },
        "expect": {
          "$.daysRemaining": 14
        }
      },
      {
        "description": "N8 taking more than the entitlement never goes negative",
        "given": {
          "$.monthsWorked": 12,
          "$.daysTaken": 40
        },
        "expect": {
          "$.daysRemaining": 0
        }
      }
    ]
  }
}