{ "category": "Compatibility", "display_name": "NORMDIST", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.NORMDIST", "implementation_state": { "answer_bank": { "excel_builds": [ "20430" ], "larger_numeric": 0, "last_bit": 383, "matched": 4127, "other_mismatch": 0, "refused": 0, "rows": 4510, "unread": 0, "worst_ulp": 5 }, "detail": "Everything else matches (4,510 in the answer bank and 6 workbook cells). Last-bit means a finite number within 16 ULP of Excel's.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "close", "state_label": "Close: last-bit deviations remain", "summary": "Close: 383 of 4,516 recorded answers differ in the last bits, worst 5 ULP", "workbook_corpus": { "cells": 6, "matched": 6 } }, "implementations": [ { "commit": "9e1884369a678158dd82d3d74188daf986995e87", "flavour": "excel-compatibility-candidate", "language": "Rust", "name": "CalcFunc", "own_code": [ "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/distributions.rs#L56-L59" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/distributions::nums", "ported/excel_numeric::binary_with", "ported/excel_numeric::excel_x87_add", "ported/excel_numeric::excel_x87_sub", "ported/excel_numeric::excel_x87_mul", "ported/excel_numeric::excel_x87_div", "ported/excel_numeric/x87::mul", "ported/excel_numeric/x87::add", "ported/excel_numeric/x87::sub", "ported/excel_numeric/x87::div", "ported/normal_dist_common::stored_horner", "ported/normal_dist_common::erf_approx", "ported/normal_dist_common::erfc_upper", "ported/normal_log_family::flush_subnormal", "ported/normal_log_family::identified_std_normal_cdf", "ported/normal_log_family::norm_cdf", "ported/normal_log_family::validate_positive_sigma", "ported/normal_log_family::norm_dist_kernel", "ported/special_dist_family::erfc_kernel", "ported/special_dist_family::erfc_precise_kernel" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/distributions.rs#L56-L59", "state": "close", "suite": null, "summary": "Close: 383 of 4,516 recorded answers differ in the last bits, worst 5 ULP" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.NORMDIST.json", "name": "NORMDIST", "notes": [], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\n[NORM.DIST](FUNC.NORM.DIST.md) is the modern spelling. [NORM.INV](FUNC.NORM.INV.md) and [NORM.S.INV](FUNC.NORM.S.INV.md) map probabilities back to values.\n\n\n", "how-to-implement": "\nFor a general CDF first standardize using binary64 `u=(x-mean)/sigma`, then apply the standard wrapper. For the standard-normal CDF, the current measured wrapper stores `z=R(abs(x)*c)`, with binary64 `c` given by bits `0x3fe6a09e667f3bcd`. Evaluate the public ERFC body at z, halve it, and select that half for a negative argument or `1-half` for a nonnegative argument. Flush the final subnormal under the current publication rule. The ERFC upper factor remains open; identifying this wrapper does not solve that inner approximation.\n\nFor density, the current kernel instead stores `u=R(R(x-mean)/sigma)`, `sq=R(u*u)`, then evaluates `E=EXP(-sq/2)`, divides E by sigma at a stored site and finally multiplies by binary64 `0x3fd9884533d43651`. Calling a previously flushed PHI and dividing later changes the route. `R` means 64-bit-significand rounding followed by a binary64 store.\n\n\n", "quirks": "\nNonnumeric numeric arguments give `#VALUE!`. A nonpositive standard deviation gives `#NUM!`. A density is not a point probability and can exceed one when the scale is small. The compatibility name does not imply that its numerical stages are identical in every Excel build.\n\n\n", "sources": "\n- [Microsoft: NORMDIST function](https://support.microsoft.com/en-us/excel/functions/normdist-function), opened 6 November 2026; syntax, documented argument rules and errors.\n- [DnaCalc implementation](https://github.com/DnaCalc/DnaCalc/blob/da3ecc4fb19a3a5529708c311d0e8f05688ac165/crates/calc-func/src/ported/normal_log_family.rs); implementation steps and the limits identified in the text.\n\n", "try-it": "\n`=NORMDIST(10,10,2,TRUE)` returns `0.5`. At the mean, half the distribution lies below the input. With FALSE the density is about `0.1994711402`.\n\n\n", "version-differences": "The recorded environments below distinguish a reading from a same-input comparison. Counts describe captured inputs in each environment; overlapping captures and comparisons are not totals of unique worksheet calls.\n\n| Excel 16.0 build | Platform and CPU | Captured inputs |\n|---|---|---:|\n| 20430 | Windows, 64-bit, AMD Ryzen 7 4800H with Radeon Graphics | 3,005 |\n\nThe record contains no same-input comparison between these environments. Reading different inputs on different builds does not establish either a version change or cross-build agreement.\n\n[Recorded environments and comparison details](https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.NORMDIST.json).", "what-it-does": "\n`NORMDIST(x,mean,standard_dev,cumulative)` is the compatibility normal distribution. TRUE returns the probability up to x; FALSE returns a density. Standard deviation must be positive.\n\n\n" }, "signature": { "display": "NORMDIST(x, mean, standard_dev, cumulative)", "parameters": [ { "description": null, "name": "x", "optional": false, "repeats": false }, { "description": null, "name": "mean", "optional": false, "repeats": false }, { "description": null, "name": "standard_dev", "optional": false, "repeats": false }, { "description": null, "name": "cumulative", "optional": false, "repeats": false } ], "trailing_repeats": false }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 4, "min": 4 }, "category": "Compatibility", "classification": { "arg_preparation_profile": "ValuesOnlyPreAdapter", "coercion_lift_profile": "Custom", "determinism_class": "Deterministic", "error_collapse_profile": "None", "fec_dependency_profile": "None", "host_interaction_class": "None", "kernel_signature_class": "Custom", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "RefOnly", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "Normal distribution (older form of NORM.DIST)", "short_source": "dna-calc-own" }, "docs": { "english_description": "Returns the normal cumulative distribution", "microsoft_url": "https://support.microsoft.com/en-us/office/normdist-function-126db625-c53e-4591-9a22-c9ff422d6d58" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "NORMDIST" }, { "locale": "bg-BG", "name": "NORMDIST" }, { "locale": "cs-CZ", "name": "NORMDIST" }, { "locale": "da-DK", "name": "NORMFORDELING" }, { "locale": "de-DE", "name": "NORMDIST" }, { "locale": "el-GR", "name": "NORMDIST" }, { "locale": "en-AU", "name": "NORMDIST" }, { "locale": "en-GB", "name": "NORMDIST" }, { "locale": "en-US", "name": "NORMDIST" }, { "locale": "es-ES", "name": "DISTR.NORM" }, { "locale": "et-EE", "name": "NORMDIST" }, { "locale": "fi-FI", "name": "NORM.JAKAUMA" }, { "locale": "fr-FR", "name": "LOI.NORMALE*" }, { "locale": "he-IL", "name": "NORMDIST" }, { "locale": "hr-HR", "name": "NORMDIST" }, { "locale": "hu-HU", "name": "NORM.ELOSZL" }, { "locale": "id-ID", "name": "NORMDIST" }, { "locale": "it-IT", "name": "NORMDIST" }, { "locale": "ja-JP", "name": "NORMDIST" }, { "locale": "ko-KR", "name": "NORMDIST" }, { "locale": "lt-LT", "name": "NORMDIST" }, { "locale": "lv-LV", "name": "NORMDIST" }, { "locale": "nb-NO", "name": "NORMDIST" }, { "locale": "nl-NL", "name": "NORM.VERD" }, { "locale": "pl-PL", "name": "ROZKŁAD.NORMALNY" }, { "locale": "pt-BR", "name": "NORMDIST" }, { "locale": "pt-PT", "name": "DIST.NORM" }, { "locale": "ro-RO", "name": "NORMDIST" }, { "locale": "ru-RU", "name": "НОРМРАСП" }, { "locale": "sk-SK", "name": "NORMDIST" }, { "locale": "sl-SI", "name": "NORMDIST" }, { "locale": "sr-Latn-RS", "name": "NORMDIST" }, { "locale": "sv-SE", "name": "NORMFÖRD" }, { "locale": "th-TH", "name": "NORMDIST" }, { "locale": "tr-TR", "name": "NORMDAĞ işlevi" }, { "locale": "uk-UA", "name": "NORMDIST" }, { "locale": "vi-VN", "name": "NORMDIST" }, { "locale": "zh-CN", "name": "NORMDIST" }, { "locale": "zh-HK", "name": "NORMDIST" }, { "locale": "zh-TW", "name": "NORMDIST" } ], "signature": { "display": "NORMDIST(x, mean, standard_dev, cumulative)", "parameters": [ { "description": null, "name": "x", "optional": false, "repeats": false }, { "description": null, "name": "mean", "optional": false, "repeats": false }, { "description": null, "name": "standard_dev", "optional": false, "repeats": false }, { "description": null, "name": "cumulative", "optional": false, "repeats": false } ], "trailing_repeats": false }, "surface_name": "NORMDIST", "version_marker": null, "xlcall": { "code": "293", "symbol": "xlfNormdist" } }, "microsoft": "https://support.microsoft.com/en-us/office/normdist-function-126db625-c53e-4591-9a22-c9ff422d6d58" }, "try_it": { "formula": "=NORMDIST(10,10,2,TRUE)" }, "url": "https://handbook.dnacalc.com/functions/NORMDIST.html", "variants": [], "versions": [ { "behaviour": "3,005 captured inputs are indexed for this environment. Capture dates: 2026-09-24 to 2026-09-25. This is a reading count, not a comparison with another build.", "excel_build": "16.0 build 20430", "platform": "Windows, 64-bit, AMD Ryzen 7 4800H with Radeon Graphics", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.NORMDIST.json" ] } ] }