unit.cc

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/* SPDX-FileCopyrightText: 2023 Blender Authors
 *
 * SPDX-License-Identifier: GPL-2.0-or-later */

 
#include <algorithm> /* For `min/max`. */
#include <cctype>
#include <cstdio>
#include <cstdlib>
#include <cstring>
 
#include "BLI_math_base.h"
#include "BLI_string.h"
#include "BLI_string_utf8.h"
#include "BLI_string_utf8_symbols.h"
#include "BLI_sys_types.h"
 
#include "DNA_scene_types.h"
 
#include "BKE_unit.hh" /* own include */
 
#ifdef WIN32
#  include "BLI_winstuff.h"
#endif
 
/* No BKE or DNA includes! */
 
/* Keep alignment. */
/* clang-format off */
 
 
#define TEMP_STR_SIZE 256
 
 
#define SEP_CHR     '#'
#define SEP_STR     "#"
 
 
#define EPS 0.001
 
 
#define UN_SC_KM    1000.0f
#define UN_SC_HM    100.0f
#define UN_SC_DAM   10.0f
#define UN_SC_M     1.0f
#define UN_SC_DM    0.1f
#define UN_SC_CM    0.01f
#define UN_SC_MM    0.001f
#define UN_SC_UM    0.000001f
 
 
#define UN_SC_MI    1609.344f
#define UN_SC_FUR   201.168f
#define UN_SC_CH    20.1168f
#define UN_SC_YD    0.9144f
#define UN_SC_FT    0.3048f
#define UN_SC_IN    0.0254f
#define UN_SC_MIL   0.0000254f
 
 
#define UN_SC_MTON  1000.0f /* Metric ton. */
#define UN_SC_QL    100.0f
#define UN_SC_KG    1.0f
#define UN_SC_HG    0.1f
#define UN_SC_DAG   0.01f
#define UN_SC_G     0.001f
#define UN_SC_MG    0.000001f
 
 
#define UN_SC_ITON  907.18474f /* Imperial ton. */
#define UN_SC_CWT   45.359237f
#define UN_SC_ST    6.35029318f
#define UN_SC_LB    0.45359237f
#define UN_SC_OZ    0.028349523125f
 
 
#define UN_SC_FAH   0.555555555555f
 
/* clang-format on */
 
/* Define a single unit.
 * When changing the format, please check that the PYGETTEXT_KEYWORDS regex
 * used to extract the unit names for translation still works
 * in scripts/modules/bl_i18n_utils/settings.py. */
struct bUnitDef {
  const char *name;
  const char *name_plural;
  const char *name_short;
  const char *name_alt;

  const char *name_display;
  const char *identifier;
 
  double scalar;
  double bias;
  int flag;
};
 
enum {
  B_UNIT_DEF_NONE = 0,
  B_UNIT_DEF_SUPPRESS = 1,
  B_UNIT_DEF_TENTH = 2,
  B_UNIT_DEF_CASE_SENSITIVE = 4,
  B_UNIT_DEF_NO_SPACE = 8,
};
 
/* Define a single unit system. */
struct bUnitCollection {
  const bUnitDef *units;
  int base_unit;
  int flag;
  int length;
};
 
#define UNIT_COLLECTION_LENGTH(def) (ARRAY_SIZE(def) - 1)
 
/* Clang-format wraps this define badly. */
/* clang-format off */
#define NULL_UNIT { \
    /*name*/ nullptr, \
    /*name_plural*/ nullptr, \
    /*name_short*/ nullptr, \
    /*name_alt*/ nullptr, \
    /*name_display*/ nullptr, \
    /*identifier*/ nullptr, \
    /*scalar*/ 0.0, \
    /*bias*/ 0.0, \
    /*flag*/ 0, \
  }
/* clang-format on */
 
/* Dummy */
static bUnitDef buDummyDef[] = {
    {
        /*name*/ "",
        /*name_plural*/ nullptr,
        /*name_short*/ "",
        /*name_alt*/ nullptr,
        /*name_display*/ nullptr,
        /*identifier*/ nullptr,
        /*scalar*/ 1.0,
        /*bias*/ 0.0,
        /*flag*/ 0,
    },
    NULL_UNIT,
};
 
static bUnitCollection buDummyCollection = {
    /*units*/ buDummyDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buDummyDef),
};
 
/* Lengths. */
static bUnitDef buMetricLenDef[] = {
    {
        /*name*/ "kilometer",
        /*name_plural*/ "kilometers",
        /*name_short*/ "km",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kilometers",
        /*identifier*/ "KILOMETERS",
        /*scalar*/ UN_SC_KM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "hectometer",
        /*name_plural*/ "hectometers",
        /*name_short*/ "hm",
        /*name_alt*/ nullptr,
        /*name_display*/ "100 Meters",
        /*identifier*/ "HECTOMETERS",
        /*scalar*/ UN_SC_HM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "dekameter",
        /*name_plural*/ "dekameters",
        /*name_short*/ "dam",
        /*name_alt*/ nullptr,
        /*name_display*/ "10 Meters",
        /*identifier*/ "DEKAMETERS",
        /*scalar*/ UN_SC_DAM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "meter",
        /*name_plural*/ "meters",
        /*name_short*/ "m",
        /*name_alt*/ nullptr,
        /*name_display*/ "Meters",
        /*identifier*/ "METERS",
        /*scalar*/ UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "decimeter",
        /*name_plural*/ "decimeters",
        /*name_short*/ "dm",
        /*name_alt*/ nullptr,
        /*name_display*/ "10 Centimeters",
        /*identifier*/ "DECIMETERS",
        /*scalar*/ UN_SC_DM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "centimeter",
        /*name_plural*/ "centimeters",
        /*name_short*/ "cm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Centimeters",
        /*identifier*/ "CENTIMETERS",
        /*scalar*/ UN_SC_CM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "millimeter",
        /*name_plural*/ "millimeters",
        /*name_short*/ "mm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Millimeters",
        /*identifier*/ "MILLIMETERS",
        /*scalar*/ UN_SC_MM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH,
    },
    {
        /*name*/ "micrometer",
        /*name_plural*/ "micrometers",
        /*name_short*/ "µm",
        /*name_alt*/ "um",
        /*name_display*/ "Micrometers",
        /*identifier*/ "MICROMETERS",
        /*scalar*/ UN_SC_UM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
 
/* These get displayed because of float precision problems in the transform header,
 * could work around, but for now probably people won't use these. */
#if 0
    {
        /*name*/ "nanometer",
        /*name_plural*/ "nanometers",
        /*name_short*/ "nm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Nanometers",
        /*identifier*/ "NANOMETERS",
        /*scalar*/ 0.000000001,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "picometer",
        /*name_plural*/ "picometers",
        /*name_short*/ "pm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Picometers",
        /*identifier*/ "PICOMETERS",
        /*scalar*/ 0.000000000001,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
#endif
    NULL_UNIT,
};
static const bUnitCollection buMetricLenCollection = {
    /*units*/ buMetricLenDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricLenDef),
};
 
static bUnitDef buImperialLenDef[] = {
    {
        /*name*/ "mile",
        /*name_plural*/ "miles",
        /*name_short*/ "mi",
        /*name_alt*/ nullptr,
        /*name_display*/ "Miles",
        /*identifier*/ "MILES",
        /*scalar*/ UN_SC_MI,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "furlong",
        /*name_plural*/ "furlongs",
        /*name_short*/ "fur",
        /*name_alt*/ nullptr,
        /*name_display*/ "Furlongs",
        /*identifier*/ "FURLONGS",
        /*scalar*/ UN_SC_FUR,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "chain",
        /*name_plural*/ "chains",
        /*name_short*/ "ch",
        /*name_alt*/ nullptr,
        /*name_display*/ "Chains",
        /*identifier*/ "CHAINS",
        /*scalar*/ UN_SC_CH,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "yard",
        /*name_plural*/ "yards",
        /*name_short*/ "yd",
        /*name_alt*/ nullptr,
        /*name_display*/ "Yards",
        /*identifier*/ "YARDS",
        /*scalar*/ UN_SC_YD,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "foot",
        /*name_plural*/ "feet",
        /*name_short*/ "'",
        /*name_alt*/ "ft",
        /*name_display*/ "Feet",
        /*identifier*/ "FEET",
        /*scalar*/ UN_SC_FT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE,
    },
    {
        /*name*/ "inch",
        /*name_plural*/ "inches",
        /*name_short*/ "\"",
        /*name_alt*/ "in",
        /*name_display*/ "Inches",
        /*identifier*/ "INCHES",
        /*scalar*/ UN_SC_IN,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE,
    },
    /* NOTE: Plural for "thou" has no 's'. */
    {
        /*name*/ "thou",
        /*name_plural*/ "thou",
        /*name_short*/ "thou",
        /*name_alt*/ "mil",
        /*name_display*/ "Thou",
        /*identifier*/ "THOU",
        /*scalar*/ UN_SC_MIL,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialLenCollection = {
    /*units*/ buImperialLenDef,
    /*base_unit*/ 4,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialLenDef),
};
 
/* Wavelengths (scene-independent, with nm as the base unit). */
static bUnitDef buWavelengthLenDef[] = {
    {
        /*name*/ "millimeter",
        /*name_plural*/ "millimeters",
        /*name_short*/ "mm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Millimeters",
        /*identifier*/ nullptr,
        /*scalar*/ 1e6f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "micrometer",
        /*name_plural*/ "micrometers",
        /*name_short*/ "µm",
        /*name_alt*/ "um",
        /*name_display*/ "Micrometers",
        /*identifier*/ nullptr,
        /*scalar*/ 1e3f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "nanometer",
        /*name_plural*/ "nanometers",
        /*name_short*/ "nm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Nanometers",
        /*identifier*/ nullptr,
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "picometer",
        /*name_plural*/ "picometers",
        /*name_short*/ "pm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Picometers",
        /*identifier*/ nullptr,
        /*scalar*/ 1e-3f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buWavelengthLenCollection = {
    /*units*/ buWavelengthLenDef,
    /*base_unit*/ 2,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buWavelengthLenDef),
};
 
/* Areas. */
static bUnitDef buMetricAreaDef[] = {
    {
        /*name*/ "square kilometer",
        /*name_plural*/ "square kilometers",
        /*name_short*/ "km" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "km2",
        /*name_display*/ "Square Kilometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_KM *UN_SC_KM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square hectometer",
        /*name_plural*/ "square hectometers",
        /*name_short*/ "hm" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "hm2",
        /*name_display*/ "Square Hectometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_HM *UN_SC_HM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    }, /* Hectare. */
    {
        /*name*/ "square dekameter",
        /*name_plural*/ "square dekameters",
        /*name_short*/ "dam" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "dam2",
        /*name_display*/ "Square Dekameters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_DAM *UN_SC_DAM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "square meter",
        /*name_plural*/ "square meters",
        /*name_short*/ "m" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "m2",
        /*name_display*/ "Square Meters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_M *UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square decimeter",
        /*name_plural*/ "square decimetees",
        /*name_short*/ "dm" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "dm2",
        /*name_display*/ "Square Decimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_DM *UN_SC_DM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "square centimeter",
        /*name_plural*/ "square centimeters",
        /*name_short*/ "cm" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "cm2",
        /*name_display*/ "Square Centimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_CM *UN_SC_CM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square millimeter",
        /*name_plural*/ "square millimeters",
        /*name_short*/ "mm" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "mm2",
        /*name_display*/ "Square Millimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MM *UN_SC_MM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH,
    },
    {
        /*name*/ "square micrometer",
        /*name_plural*/ "square micrometers",
        /*name_short*/ "µm" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "um2",
        /*name_display*/ "Square Micrometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_UM *UN_SC_UM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricAreaCollection = {
    /*units*/ buMetricAreaDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricAreaDef),
};
 
static bUnitDef buImperialAreaDef[] = {
    {
        /*name*/ "square mile",
        /*name_plural*/ "square miles",
        /*name_short*/ "sq mi",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Miles",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MI *UN_SC_MI,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square furlong",
        /*name_plural*/ "square furlongs",
        /*name_short*/ "sq fur",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Furlongs",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FUR *UN_SC_FUR,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "square chain",
        /*name_plural*/ "square chains",
        /*name_short*/ "sq ch",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Chains",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_CH *UN_SC_CH,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "square yard",
        /*name_plural*/ "square yards",
        /*name_short*/ "sq yd",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Yards",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_YD *UN_SC_YD,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "square foot",
        /*name_plural*/ "square feet",
        /*name_short*/ "sq ft",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Feet",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FT *UN_SC_FT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square inch",
        /*name_plural*/ "square inches",
        /*name_short*/ "sq in",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Inches",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_IN *UN_SC_IN,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "square thou",
        /*name_plural*/ "square thou",
        /*name_short*/ "sq mil",
        /*name_alt*/ nullptr,
        /*name_display*/ "Square Thou",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MIL *UN_SC_MIL,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialAreaCollection = {
    /*units*/ buImperialAreaDef,
    /*base_unit*/ 4,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialAreaDef),
};
 
/* Volumes. */
static bUnitDef buMetricVolDef[] = {
    {
        /*name*/ "cubic kilometer",
        /*name_plural*/ "cubic kilometers",
        /*name_short*/ "km" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "km3",
        /*name_display*/ "Cubic Kilometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_KM *UN_SC_KM *UN_SC_KM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic hectometer",
        /*name_plural*/ "cubic hectometers",
        /*name_short*/ "hm" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "hm3",
        /*name_display*/ "Cubic Hectometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_HM *UN_SC_HM *UN_SC_HM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "cubic dekameter",
        /*name_plural*/ "cubic dekameters",
        /*name_short*/ "dam" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "dam3",
        /*name_display*/ "Cubic Dekameters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_DAM *UN_SC_DAM *UN_SC_DAM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "cubic meter",
        /*name_plural*/ "cubic meters",
        /*name_short*/ "m" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "m3",
        /*name_display*/ "Cubic Meters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_M *UN_SC_M *UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic decimeter",
        /*name_plural*/ "cubic decimeters",
        /*name_short*/ "dm" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "dm3",
        /*name_display*/ "Cubic Decimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_DM *UN_SC_DM *UN_SC_DM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "cubic centimeter",
        /*name_plural*/ "cubic centimeters",
        /*name_short*/ "cm" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "cm3",
        /*name_display*/ "Cubic Centimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_CM *UN_SC_CM *UN_SC_CM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic millimeter",
        /*name_plural*/ "cubic millimeters",
        /*name_short*/ "mm" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "mm3",
        /*name_display*/ "Cubic Millimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MM *UN_SC_MM *UN_SC_MM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH,
    },
    {
        /*name*/ "cubic micrometer",
        /*name_plural*/ "cubic micrometers",
        /*name_short*/ "µm" BLI_STR_UTF8_SUPERSCRIPT_3,
        /*name_alt*/ "um3",
        /*name_display*/ "Cubic Micrometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_UM *UN_SC_UM *UN_SC_UM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricVolCollection = {
    /*units*/ buMetricVolDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricVolDef),
};
 
static bUnitDef buImperialVolDef[] = {
    {
        /*name*/ "cubic mile",
        /*name_plural*/ "cubic miles",
        /*name_short*/ "cu mi",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Miles",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MI *UN_SC_MI *UN_SC_MI,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic furlong",
        /*name_plural*/ "cubic furlongs",
        /*name_short*/ "cu fur",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Furlongs",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FUR *UN_SC_FUR *UN_SC_FUR,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "cubic chain",
        /*name_plural*/ "cubic chains",
        /*name_short*/ "cu ch",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Chains",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_CH *UN_SC_CH *UN_SC_CH,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "cubic yard",
        /*name_plural*/ "cubic yards",
        /*name_short*/ "cu yd",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Yards",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_YD *UN_SC_YD *UN_SC_YD,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "cubic foot",
        /*name_plural*/ "cubic feet",
        /*name_short*/ "cu ft",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Feet",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FT *UN_SC_FT *UN_SC_FT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic inch",
        /*name_plural*/ "cubic inches",
        /*name_short*/ "cu in",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Inches",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_IN *UN_SC_IN *UN_SC_IN,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "cubic thou",
        /*name_plural*/ "cubic thou",
        /*name_short*/ "cu mil",
        /*name_alt*/ nullptr,
        /*name_display*/ "Cubic Thou",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MIL *UN_SC_MIL *UN_SC_MIL,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialVolCollection = {
    /*units*/ buImperialVolDef,
    /*base_unit*/ 4,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialVolDef),
};
 
/* Mass. */
static bUnitDef buMetricMassDef[] = {
    {
        /*name*/ "tonne",
        /*name_plural*/ "tonnes",
        /*name_short*/ "t",
        /*name_alt*/ "ton",
        /*name_display*/ "Tonnes",
        /*identifier*/ "TONNES",
        /*scalar*/ UN_SC_MTON,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "quintal",
        /*name_plural*/ "quintals",
        /*name_short*/ "ql",
        /*name_alt*/ "q",
        /*name_display*/ "100 Kilograms",
        /*identifier*/ "QUINTALS",
        /*scalar*/ UN_SC_QL,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "kilogram",
        /*name_plural*/ "kilograms",
        /*name_short*/ "kg",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kilograms",
        /*identifier*/ "KILOGRAMS",
        /*scalar*/ UN_SC_KG,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "hectogram",
        /*name_plural*/ "hectograms",
        /*name_short*/ "hg",
        /*name_alt*/ nullptr,
        /*name_display*/ "Hectograms",
        /*identifier*/ "HECTOGRAMS",
        /*scalar*/ UN_SC_HG,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "dekagram",
        /*name_plural*/ "dekagrams",
        /*name_short*/ "dag",
        /*name_alt*/ nullptr,
        /*name_display*/ "10 Grams",
        /*identifier*/ "DEKAGRAMS",
        /*scalar*/ UN_SC_DAG,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "gram",
        /*name_plural*/ "grams",
        /*name_short*/ "g",
        /*name_alt*/ nullptr,
        /*name_display*/ "Grams",
        /*identifier*/ "GRAMS",
        /*scalar*/ UN_SC_G,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "milligram",
        /*name_plural*/ "milligrams",
        /*name_short*/ "mg",
        /*name_alt*/ nullptr,
        /*name_display*/ "Milligrams",
        /*identifier*/ "MILLIGRAMS",
        /*scalar*/ UN_SC_MG,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricMassCollection = {
    /*units*/ buMetricMassDef,
    /*base_unit*/ 2,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricMassDef),
};
 
static bUnitDef buImperialMassDef[] = {
    {
        /*name*/ "ton",
        /*name_plural*/ "tons",
        /*name_short*/ "tn",
        /*name_alt*/ nullptr,
        /*name_display*/ "Tons",
        /*identifier*/ "TONNES",
        /*scalar*/ UN_SC_ITON,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "centum weight",
        /*name_plural*/ "centum weights",
        /*name_short*/ "cwt",
        /*name_alt*/ nullptr,
        /*name_display*/ "Centum weights",
        /*identifier*/ "CENTUM_WEIGHTS",
        /*scalar*/ UN_SC_CWT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "stone",
        /*name_plural*/ "stones",
        /*name_short*/ "st",
        /*name_alt*/ nullptr,
        /*name_display*/ "Stones",
        /*identifier*/ "STONES",
        /*scalar*/ UN_SC_ST,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "pound",
        /*name_plural*/ "pounds",
        /*name_short*/ "lb",
        /*name_alt*/ nullptr,
        /*name_display*/ "Pounds",
        /*identifier*/ "POUNDS",
        /*scalar*/ UN_SC_LB,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "ounce",
        /*name_plural*/ "ounces",
        /*name_short*/ "oz",
        /*name_alt*/ nullptr,
        /*name_display*/ "Ounces",
        /*identifier*/ "OUNCES",
        /*scalar*/ UN_SC_OZ,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialMassCollection = {
    /*units*/ buImperialMassDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialMassDef),
};
 
/* Even if user scales the system to a point where km^3 is used, velocity and
 * acceleration aren't scaled: that's why we have so few units for them. */
 
/* Velocity. */
static bUnitDef buMetricVelDef[] = {
    /* Base unit. */
    {
        /*name*/ "meter per second",
        /*name_plural*/ "meters per second",
        /*name_short*/ "m/s",
        /*name_alt*/ nullptr,
        /*name_display*/ "Meters per second",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "kilometer per hour",
        /*name_plural*/ "kilometers per hour",
        /*name_short*/ "km/h",
        /*name_alt*/ "kph",
        /*name_display*/ "Kilometers per hour",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_KM / 3600.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricVelCollection = {
    /*units*/ buMetricVelDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricVelDef),
};
 
static bUnitDef buImperialVelDef[] = {
    /* Base unit. */
    {
        /*name*/ "foot per second",
        /*name_plural*/ "feet per second",
        /*name_short*/ "ft/s",
        /*name_alt*/ "fps",
        /*name_display*/ "Feet per second",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "mile per hour",
        /*name_plural*/ "miles per hour",
        /*name_short*/ "mph",
        /*name_alt*/ nullptr,
        /*name_display*/ "Miles per hour",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MI / 3600.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialVelCollection = {
    /*units*/ buImperialVelDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialVelDef),
};
 
/* Acceleration. */
static bUnitDef buMetricAclDef[] = {
    /* Base unit. */
    {
        /*name*/ "meter per second squared",
        /*name_plural*/ "meters per second squared",
        /*name_short*/ "m/s" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "m/s2",
        /*name_display*/ "Meters per second squared",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricAclCollection = {
    /*units*/ buMetricAclDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricAclDef),
};
 
static bUnitDef buImperialAclDef[] = {
    /* Base unit. */
    {
        /*name*/ "foot per second squared",
        /*name_plural*/ "feet per second squared",
        /*name_short*/ "ft/s" BLI_STR_UTF8_SUPERSCRIPT_2,
        /*name_alt*/ "ft/s2",
        /*name_display*/ "Feet per second squared",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_FT,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialAclCollection = {
    /*units*/ buImperialAclDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialAclDef),
};
 
/* Time. */
static bUnitDef buNaturalTimeDef[] = {
    /* Weeks? - probably not needed for Blender. */
    {
        /*name*/ "day",
        /*name_plural*/ "days",
        /*name_short*/ "d",
        /*name_alt*/ nullptr,
        /*name_display*/ "Days",
        /*identifier*/ "DAYS",
        /*scalar*/ 86400.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "hour",
        /*name_plural*/ "hours",
        /*name_short*/ "h",
        /*name_alt*/ "hr",
        /*name_display*/ "Hours",
        /*identifier*/ "HOURS",
        /*scalar*/ 3600.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "minute",
        /*name_plural*/ "minutes",
        /*name_short*/ "min",
        /*name_alt*/ "m",
        /*name_display*/ "Minutes",
        /*identifier*/ "MINUTES",
        /*scalar*/ 60.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "second",
        /*name_plural*/ "seconds",
        /*name_short*/ "s",
        /*name_alt*/ "sec",
        /*name_display*/ "Seconds",
        /*identifier*/ "SECONDS",
        /*scalar*/ 1.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "millisecond",
        /*name_plural*/ "milliseconds",
        /*name_short*/ "ms",
        /*name_alt*/ nullptr,
        /*name_display*/ "Milliseconds",
        /*identifier*/ "MILLISECONDS",
        /*scalar*/ 0.001,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "microsecond",
        /*name_plural*/ "microseconds",
        /*name_short*/ "µs",
        /*name_alt*/ "us",
        /*name_display*/ "Microseconds",
        /*identifier*/ "MICROSECONDS",
        /*scalar*/ 0.000001,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buNaturalTimeCollection = {
    /*units*/ buNaturalTimeDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buNaturalTimeDef),
};
 
static bUnitDef buNaturalRotDef[] = {
    {
        /*name*/ "degree",
        /*name_plural*/ "degrees",
        /*name_short*/ BLI_STR_UTF8_DEGREE_SIGN,
        /*name_alt*/ "d",
        /*name_display*/ "Degrees",
        /*identifier*/ "DEGREES",
        /*scalar*/ M_PI / 180.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE,
    },
    /* `arcminutes` / `arcseconds` are used in Astronomy/Navigation areas. */
    {
        /*name*/ "arcminute",
        /*name_plural*/ "arcminutes",
        /*name_short*/ "'",
        /*name_alt*/ "amin",
        /*name_display*/ "Arcminutes",
        /*identifier*/ "ARCMINUTES",
        /*scalar*/ (M_PI / 180.0) / 60.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS | B_UNIT_DEF_NO_SPACE,
    },
    {
        /*name*/ "arcsecond",
        /*name_plural*/ "arcseconds",
        /*name_short*/ "\"",
        /*name_alt*/ "asec",
        /*name_display*/ "Arcseconds",
        /*identifier*/ "ARCSECONDS",
        /*scalar*/ (M_PI / 180.0) / 3600.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS | B_UNIT_DEF_NO_SPACE,
    },
    {
        /*name*/ "radian",
        /*name_plural*/ "radians",
        /*name_short*/ "rad",
        /*name_alt*/ "r",
        /*name_display*/ "Radians",
        /*identifier*/ "RADIANS",
        /*scalar*/ 1.0,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
#if 0
    {
        /*name*/ "turn",
        /*name_plural*/ "turns",
        /*name_short*/ "t",
        /*name_alt*/ nullptr,
        /*name_display*/ "Turns",
        /*identifier*/ nullptr,
        /*scalar*/ 1.0 / (M_PI * 2.0),
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
#endif
    NULL_UNIT,
};
static bUnitCollection buNaturalRotCollection = {
    /*units*/ buNaturalRotDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buNaturalRotDef),
};
 
/* Camera Lengths. */
static bUnitDef buCameraLenDef[] = {
    /* Base unit. */
    {
        /*name*/ "meter",
        /*name_plural*/ "meters",
        /*name_short*/ "m",
        /*name_alt*/ nullptr,
        /*name_display*/ "Meters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_KM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "decimeter",
        /*name_plural*/ "decimeters",
        /*name_short*/ "dm",
        /*name_alt*/ nullptr,
        /*name_display*/ "10 Centimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_HM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "centimeter",
        /*name_plural*/ "centimeters",
        /*name_short*/ "cm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Centimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_DAM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    {
        /*name*/ "millimeter",
        /*name_plural*/ "millimeters",
        /*name_short*/ "mm",
        /*name_alt*/ nullptr,
        /*name_display*/ "Millimeters",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_M,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "micrometer",
        /*name_plural*/ "micrometers",
        /*name_short*/ "µm",
        /*name_alt*/ "um",
        /*name_display*/ "Micrometers",
        /*identifier*/ nullptr,
        /*scalar*/ UN_SC_MM,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    NULL_UNIT,
};
static bUnitCollection buCameraLenCollection = {
    /*units*/ buCameraLenDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buCameraLenDef),
};
 
/* (Light) Power. */
static bUnitDef buPowerDef[] = {
    {
        /*name*/ "gigawatt",
        /*name_plural*/ "gigawatts",
        /*name_short*/ "GW",
        /*name_alt*/ nullptr,
        /*name_display*/ "Gigawatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e9f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "megawatt",
        /*name_plural*/ "megawatts",
        /*name_short*/ "MW",
        /*name_alt*/ nullptr,
        /*name_display*/ "Megawatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e6f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_CASE_SENSITIVE,
    },
    {
        /*name*/ "kilowatt",
        /*name_plural*/ "kilowatts",
        /*name_short*/ "kW",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kilowatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e3f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_SUPPRESS,
    },
    /* Base unit. */
    {
        /*name*/ "watt",
        /*name_plural*/ "watts",
        /*name_short*/ "W",
        /*name_alt*/ nullptr,
        /*name_display*/ "Watts",
        /*identifier*/ nullptr,
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "milliwatt",
        /*name_plural*/ "milliwatts",
        /*name_short*/ "mW",
        /*name_alt*/ nullptr,
        /*name_display*/ "Milliwatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e-3f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_CASE_SENSITIVE,
    },
    {
        /*name*/ "microwatt",
        /*name_plural*/ "microwatts",
        /*name_short*/ "µW",
        /*name_alt*/ "uW",
        /*name_display*/ "Microwatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e-6f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "nanowatt",
        /*name_plural*/ "nanowatts",
        /*name_short*/ "nW",
        /*name_alt*/ nullptr,
        /*name_display*/ "Nanowatts",
        /*identifier*/ nullptr,
        /*scalar*/ 1e-9f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buPowerCollection = {
    /*units*/ buPowerDef,
    /*base_unit*/ 3,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buPowerDef),
};
 
/* Temperature */
static bUnitDef buMetricTempDef[] = {
    {
        /*name*/ "kelvin",
        /*name_plural*/ "kelvin",
        /*name_short*/ "K",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kelvin",
        /*identifier*/ "KELVIN",
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "celsius",
        /*name_plural*/ "celsius",
        /*name_short*/ BLI_STR_UTF8_DEGREE_SIGN "C",
        /*name_alt*/ "C",
        /*name_display*/ "Celsius",
        /*identifier*/ "CELSIUS",
        /*scalar*/ 1.0f,
        /*bias*/ 273.15,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buMetricTempCollection = {
    /*units*/ buMetricTempDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buMetricTempDef),
};
 
static bUnitDef buImperialTempDef[] = {
    {
        /*name*/ "kelvin",
        /*name_plural*/ "kelvin",
        /*name_short*/ "K",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kelvin",
        /*identifier*/ "KELVIN",
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    /* Base unit. */
    {
        /*name*/ "fahrenheit",
        /*name_plural*/ "fahrenheit",
        /*name_short*/ BLI_STR_UTF8_DEGREE_SIGN "F",
        /*name_alt*/ "F",
        /*name_display*/ "Fahrenheit",
        /*identifier*/ "FAHRENHEIT",
        /*scalar*/ UN_SC_FAH,
        /*bias*/ 459.67,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buImperialTempCollection = {
    /*units*/ buImperialTempDef,
    /*base_unit*/ 1,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buImperialTempDef),
};
 
/* Color Temperature */
static bUnitDef buColorTempDef[] = {
    /* Base unit. */
    {
        /*name*/ "kelvin",
        /*name_plural*/ "kelvin",
        /*name_short*/ "K",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kelvin",
        /*identifier*/ "KELVIN",
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buColorTempCollection = {
    /*units*/ buColorTempDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buColorTempDef),
};
 
/* Frequency */
static bUnitDef buFrequencyDef[] = {
    /* Base unit. */
    {
        /*name*/ "hertz",
        /*name_plural*/ "hertz",
        /*name_short*/ "Hz",
        /*name_alt*/ nullptr,
        /*name_display*/ "Hertz",
        /*identifier*/ "HERTZ",
        /*scalar*/ 1.0f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    {
        /*name*/ "kilohertz",
        /*name_plural*/ "kilohertz",
        /*name_short*/ "kHz",
        /*name_alt*/ nullptr,
        /*name_display*/ "Kilohertz",
        /*identifier*/ "KILOHERTZ",
        /*scalar*/ 1e3f,
        /*bias*/ 0.0,
        /*flag*/ B_UNIT_DEF_NONE,
    },
    NULL_UNIT,
};
static bUnitCollection buFrequencyCollection = {
    /*units*/ buFrequencyDef,
    /*base_unit*/ 0,
    /*flag*/ 0,
    /*length*/ UNIT_COLLECTION_LENGTH(buFrequencyDef),
};
 
#define UNIT_SYSTEM_TOT (((sizeof(bUnitSystems) / B_UNIT_TYPE_TOT) / sizeof(void *)) - 1)
static const bUnitCollection *bUnitSystems[][B_UNIT_TYPE_TOT] = {
    /* Natural. */
    {
        /*B_UNIT_NONE*/ nullptr,
        /*B_UNIT_LENGTH*/ nullptr,
        /*B_UNIT_AREA*/ nullptr,
        /*B_UNIT_VOLUME*/ nullptr,
        /*B_UNIT_MASS*/ nullptr,
        /*B_UNIT_ROTATION*/ &buNaturalRotCollection,
        /*B_UNIT_TIME*/ &buNaturalTimeCollection,
        /*B_UNIT_TIME_ABSOLUTE*/ &buNaturalTimeCollection,
        /*B_UNIT_VELOCITY*/ nullptr,
        /*B_UNIT_ACCELERATION*/ nullptr,
        /*B_UNIT_CAMERA*/ nullptr,
        /*B_UNIT_POWER*/ nullptr,
        /*B_UNIT_TEMPERATURE*/ nullptr,
        /*B_UNIT_WAVELENGTH*/ nullptr,
        /*B_UNIT_COLOR_TEMPERATURE*/ nullptr,
        /*B_UNIT_FREQUENCY*/ nullptr,
    },
    /* Metric. */
    {
        /*B_UNIT_NONE*/ nullptr,
        /*B_UNIT_LENGTH*/ &buMetricLenCollection,
        /*B_UNIT_AREA*/ &buMetricAreaCollection,
        /*B_UNIT_VOLUME*/ &buMetricVolCollection,
        /*B_UNIT_MASS*/ &buMetricMassCollection,
        /*B_UNIT_ROTATION*/ &buNaturalRotCollection,
        /*B_UNIT_TIME*/ &buNaturalTimeCollection,
        /*B_UNIT_TIME_ABSOLUTE*/ &buNaturalTimeCollection,
        /*B_UNIT_VELOCITY*/ &buMetricVelCollection,
        /*B_UNIT_ACCELERATION*/ &buMetricAclCollection,
        /*B_UNIT_CAMERA*/ &buCameraLenCollection,
        /*B_UNIT_POWER*/ &buPowerCollection,
        /*B_UNIT_TEMPERATURE*/ &buMetricTempCollection,
        /*B_UNIT_WAVELENGTH*/ &buWavelengthLenCollection,
        /*B_UNIT_COLOR_TEMPERATURE*/ &buColorTempCollection,
        /*B_UNIT_FREQUENCY*/ &buFrequencyCollection,
    },
    /* Imperial. */
    {
        /*B_UNIT_NONE*/ nullptr,
        /*B_UNIT_LENGTH*/ &buImperialLenCollection,
        /*B_UNIT_AREA*/ &buImperialAreaCollection,
        /*B_UNIT_VOLUME*/ &buImperialVolCollection,
        /*B_UNIT_MASS*/ &buImperialMassCollection,
        /*B_UNIT_ROTATION*/ &buNaturalRotCollection,
        /*B_UNIT_TIME*/ &buNaturalTimeCollection,
        /*B_UNIT_TIME_ABSOLUTE*/ &buNaturalTimeCollection,
        /*B_UNIT_VELOCITY*/ &buImperialVelCollection,
        /*B_UNIT_ACCELERATION*/ &buImperialAclCollection,
        /*B_UNIT_CAMERA*/ &buCameraLenCollection,
        /*B_UNIT_POWER*/ &buPowerCollection,
        /*B_UNIT_TEMPERATURE*/ &buImperialTempCollection,
        /*B_UNIT_WAVELENGTH*/ &buWavelengthLenCollection,
        /*B_UNIT_COLOR_TEMPERATURE*/ &buColorTempCollection,
        /*B_UNIT_FREQUENCY*/ &buFrequencyCollection,
    },
    {nullptr},
};
 
static const bUnitCollection *unit_get_system(int system, int type)
{
  BLI_assert((system > -1) && (system < UNIT_SYSTEM_TOT) && (type > -1) &&
             (type < B_UNIT_TYPE_TOT));
  return bUnitSystems[system][type]; /* Select system to use: metric/imperial/other? */
}
 
static const bUnitDef *unit_default(const bUnitCollection *usys)
{
  return &usys->units[usys->base_unit];
}
 
static const bUnitDef *unit_best_fit(double value,
                                     const bUnitCollection *usys,
                                     const bUnitDef *unit_start,
                                     int suppress)
{
  double value_abs = value > 0.0 ? value : -value;
 
  for (const bUnitDef *unit = unit_start ? unit_start : usys->units; unit->name; unit++) {
 
    if (suppress && (unit->flag & B_UNIT_DEF_SUPPRESS)) {
      continue;
    }
 
    /* Scale down scalar so 1cm doesn't convert to 10mm because of float error. */
    if (UNLIKELY(unit->flag & B_UNIT_DEF_TENTH)) {
      if (value_abs >= unit->scalar * (0.1 - EPS)) {
        return unit;
      }
    }
    else {
      if (value_abs >= unit->scalar * (1.0 - EPS)) {
        return unit;
      }
    }
  }
 
  return unit_default(usys);
}
 
/* Convert into 2 units and 2 values for "2ft, 3inch" syntax. */
static void unit_dual_convert(double value,
                              const bUnitCollection *usys,
                              bUnitDef const **r_unit_a,
                              bUnitDef const **r_unit_b,
                              double *r_value_a,
                              double *r_value_b,
                              const bUnitDef *main_unit)
{
  const bUnitDef *unit = (main_unit) ? main_unit : unit_best_fit(value, usys, nullptr, 1);
 
  const double scaled_value = value / unit->scalar;
  *r_value_a = std::trunc(scaled_value) * unit->scalar;
  *r_value_b = value - (*r_value_a);
 
  *r_unit_a = unit;
  *r_unit_b = unit_best_fit(*r_value_b, usys, *r_unit_a, 1);
}
 
static size_t unit_as_string(char *str,
                             int str_maxncpy,
                             double value,
                             int prec,
                             const bool do_rstrip_zero,
                             const bUnitCollection *usys,
                             /* Non exposed options. */
                             const bUnitDef *unit,
                             char pad)
{
  BLI_assert(prec >= 0);
  if (unit == nullptr) {
    if (value == 0.0) {
      /* Use the default units since there is no way to convert. */
      unit = unit_default(usys);
    }
    else {
      unit = unit_best_fit(value, usys, nullptr, 1);
    }
  }
 
  double value_conv = (value / unit->scalar) - unit->bias;
 
  /* Adjust precision to expected number of significant digits.
   * Note that here, we shall not have to worry about very big/small numbers, units are expected
   * to replace 'scientific notation' in those cases. */
  prec -= integer_digits_d(value_conv);
 
  CLAMP(prec, 0, 6);
 
  /* Convert to a string. */
  size_t len = BLI_snprintf_rlen(str, str_maxncpy, "%.*f", prec, value_conv);
 
  /* Add unit prefix and strip zeros. */
 
  /* Replace trailing zero's with spaces so the number
   * is less complicated but alignment in a button won't
   * jump about while dragging. */
  size_t i = len - 1;
 
  if (prec > 0) {
    if (do_rstrip_zero) {
      while (i > 0 && str[i] == '0') { /* 4.300 -> 4.3 */
        str[i--] = pad;
      }
 
      if (i > 0 && str[i] == '.') { /* 10. -> 10 */
        str[i--] = pad;
      }
    }
  }
 
  /* Now add a space for all units except foot, inch, degree, arcminute, arcsecond. */
  if (!(unit->flag & B_UNIT_DEF_NO_SPACE)) {
    str[++i] = ' ';
  }
 
  /* Now add the suffix. */
  if (i < str_maxncpy) {
    int j = 0;
    i++;
    while (unit->name_short[j] && (i < str_maxncpy)) {
      str[i++] = unit->name_short[j++];
    }
  }
 
  /* Terminate no matter what's done with padding above. */
  if (i >= str_maxncpy) {
    i = str_maxncpy - 1;
  }
 
  str[i] = '\0';
  return i;
}
 
static bool unit_should_be_split(int type)
{
  return ELEM(type, B_UNIT_LENGTH, B_UNIT_MASS, B_UNIT_TIME, B_UNIT_CAMERA, B_UNIT_WAVELENGTH);
}
 
struct PreferredUnits {
  int system;
  int rotation;
  /* USER_UNIT_ADAPTIVE means none, otherwise the value is the index in the collection. */
  int length;
  int mass;
  int time;
  int temperature;
};
 
static PreferredUnits preferred_units_from_UnitSettings(const UnitSettings &settings)
{
  PreferredUnits units = {0};
  units.system = settings.system;
  units.rotation = settings.system_rotation;
  units.length = settings.length_unit;
  units.mass = settings.mass_unit;
  units.time = settings.time_unit;
  units.temperature = settings.temperature_unit;
  return units;
}
 
static size_t unit_as_string_split_pair(char *str,
                                        int str_maxncpy,
                                        double value,
                                        int prec,
                                        const bool do_rstrip_zero,
                                        const bUnitCollection *usys,
                                        const bUnitDef *main_unit)
{
  BLI_assert(prec >= 0);
  const bUnitDef *unit_a, *unit_b;
  double value_a, value_b;
  unit_dual_convert(value, usys, &unit_a, &unit_b, &value_a, &value_b, main_unit);
 
  /* Check the 2 is a smaller unit. */
  if (unit_b > unit_a) {
    /* Always strip zeros for the larger unit, since it is truncated and won't ever "jitter". */
    size_t i = unit_as_string(str, str_maxncpy, value_a, prec, true, usys, unit_a, '\0');
 
    prec -= integer_digits_d(value_a / unit_b->scalar) -
            integer_digits_d(value_b / unit_b->scalar);
    prec = max_ii(prec, 0);
 
    /* Is there enough space for at least 1 char of the next unit? */
    if (i + 2 < str_maxncpy) {
      str[i++] = ' ';
 
      /* Use low precision since this is a smaller unit. */
      i += unit_as_string(
          str + i, str_maxncpy - i, value_b, prec, do_rstrip_zero, usys, unit_b, '\0');
    }
    return i;
  }
 
  return -1;
}
 
static bool is_valid_unit_collection(const bUnitCollection *usys)
{
  return usys != nullptr && usys->units[0].name != nullptr;
}
 
static const bUnitDef *get_preferred_display_unit_if_used(int type, const PreferredUnits &units)
{
  const bUnitCollection *usys = unit_get_system(units.system, type);
  if (!is_valid_unit_collection(usys)) {
    return nullptr;
  }
 
  int max_offset = usys->length - 1;
 
  switch (type) {
    case B_UNIT_LENGTH:
    case B_UNIT_AREA:
    case B_UNIT_VOLUME:
      if (units.length == USER_UNIT_ADAPTIVE) {
        return nullptr;
      }
      return usys->units + std::min(units.length, max_offset);
    case B_UNIT_MASS:
      if (units.mass == USER_UNIT_ADAPTIVE) {
        return nullptr;
      }
      return usys->units + std::min(units.mass, max_offset);
    case B_UNIT_TIME:
      if (units.time == USER_UNIT_ADAPTIVE) {
        return nullptr;
      }
      return usys->units + std::min(units.time, max_offset);
    case B_UNIT_ROTATION:
      if (units.rotation == 0) {
        return usys->units + 0;
      }
      else if (units.rotation == USER_UNIT_ROT_RADIANS) {
        return usys->units + 3;
      }
      break;
    case B_UNIT_TEMPERATURE:
      if (units.temperature == USER_UNIT_ADAPTIVE) {
        return nullptr;
      }
      return usys->units + std::min(units.temperature, max_offset);
    default:
      break;
  }
  return nullptr;
}
 
/* Return the length of the generated string. */
static size_t unit_as_string_main(char *str,
                                  int str_maxncpy,
                                  double value,
                                  int prec,
                                  int type,
                                  bool split,
                                  bool pad,
                                  const PreferredUnits &units)
{
  const bUnitCollection *usys = unit_get_system(units.system, type);
  const bUnitDef *main_unit = nullptr;
 
  if (!is_valid_unit_collection(usys)) {
    usys = &buDummyCollection;
  }
  else {
    main_unit = get_preferred_display_unit_if_used(type, units);
  }
 
  bool do_rstrip_zero = true;
  if (prec < 0) {
    prec = -prec;
    do_rstrip_zero = false;
  }
 
  if (split && unit_should_be_split(type)) {
    int length = unit_as_string_split_pair(
        str, str_maxncpy, value, prec, do_rstrip_zero, usys, main_unit);
    /* Split failed when length is negative, fall back to no split. */
    if (length >= 0) {
      return length;
    }
  }
 
  return unit_as_string(
      str, str_maxncpy, value, prec, do_rstrip_zero, usys, main_unit, pad ? ' ' : '\0');
}
 
size_t BKE_unit_value_as_string_adaptive(
    char *str, int str_maxncpy, double value, int prec, int system, int type, bool split, bool pad)
{
  PreferredUnits units;
  units.system = system;
  units.rotation = 0;
  units.length = USER_UNIT_ADAPTIVE;
  units.mass = USER_UNIT_ADAPTIVE;
  units.time = USER_UNIT_ADAPTIVE;
  units.temperature = USER_UNIT_ADAPTIVE;
  return unit_as_string_main(str, str_maxncpy, value, prec, type, split, pad, units);
}
 
size_t BKE_unit_value_as_string(char *str,
                                int str_maxncpy,
                                double value,
                                int prec,
                                int type,
                                const UnitSettings &settings,
                                bool pad)
{
  bool do_split = (settings.flag & USER_UNIT_OPT_SPLIT) != 0;
  PreferredUnits units = preferred_units_from_UnitSettings(settings);
  return unit_as_string_main(str, str_maxncpy, value, prec, type, do_split, pad, units);
}
 
size_t BKE_unit_value_as_string_scaled(char *str,
                                       int str_maxncpy,
                                       double value,
                                       int prec,
                                       int type,
                                       const UnitSettings &settings,
                                       bool pad)
{
  return BKE_unit_value_as_string(
      str, str_maxncpy, BKE_unit_value_scale(settings, type, value), prec, type, settings, pad);
}
 
double BKE_unit_value_scale(const UnitSettings &settings, const int unit_type, double value)
{
  if (settings.system == USER_UNIT_NONE) {
    /* Never apply scale_length when not using a unit setting! */
    return value;
  }
 
  switch (unit_type) {
    case B_UNIT_LENGTH:
    case B_UNIT_VELOCITY:
    case B_UNIT_ACCELERATION:
      return value * double(settings.scale_length);
    case B_UNIT_AREA:
    case B_UNIT_POWER:
      return value * pow(settings.scale_length, 2);
    case B_UNIT_VOLUME:
      return value * pow(settings.scale_length, 3);
    case B_UNIT_MASS:
      return value * pow(settings.scale_length, 3);
    case B_UNIT_CAMERA: /* *Do not* use scene's unit scale for camera focal lens! See #42026. */
    case B_UNIT_WAVELENGTH: /* Wavelength values are independent of the scene scale. */
    default:
      return value;
  }
}
 
BLI_INLINE bool isalpha_or_utf8(const int ch)
{
  return (ch >= 128 || isalpha(ch));
}
 
static const char *unit_find_str(const char *str, const char *substr, bool case_sensitive)
{
  if (substr == nullptr || substr[0] == '\0') {
    return nullptr;
  }
 
  while (true) {
    /* Unit detection is case insensitive. */
    const char *str_found;
    if (case_sensitive) {
      str_found = strstr(str, substr);
    }
    else {
      str_found = BLI_strcasestr(str, substr);
    }
 
    if (str_found) {
      /* Previous char cannot be a letter. */
      if (str_found == str ||
          /* Weak unicode support!, so "µm" won't match up be replaced by "m"
           * since non ASCII UTF8 values will NEVER return true. */
          isalpha_or_utf8(*BLI_str_find_prev_char_utf8(str_found, str)) == 0)
      {
        /* Next char cannot be alphanumeric. */
        int len_name = strlen(substr);
 
        if (!isalpha_or_utf8(*(str_found + len_name))) {
          return str_found;
        }
      }
      /* If str_found is not a valid unit, we have to check further in the string... */
      for (str_found++; isalpha_or_utf8(*str_found); str_found++) {
        /* Pass. */
      }
      str = str_found;
    }
    else {
      break;
    }
  }
 
  return nullptr;
}
 
/* Note that numbers are added within brackets.
 * ") " - is used to detect numbers we added so we can detect if commas need to be added.
 *
 * "1m1cm+2mm"              - Original value.
 * "1*1#1*0.01#+2*0.001#"   - Replace numbers.
 * "1*1+1*0.01 +2*0.001 "   - Add plus signs if ( + - * / | & ~ < > ^ ! = % ) not found in between.
 */
 
/* Not too strict, (+ - * /) are most common. */
static bool ch_is_op(char op)
{
  switch (op) {
    case '+':
    case '-':
    case '*':
    case '/':
    case '|':
    case '&':
    case '~':
    case '<':
    case '>':
    case '^':
    case '!':
    case '=':
    case '%':
      return true;
    default:
      return false;
  }
}
 
static bool ch_is_op_unary(char op)
{
  switch (op) {
    case '+':
    case '-':
    case '~':
      return true;
    default:
      return false;
  }
}

static const char *find_next_negative(const char *str, const char *remaining_str)
{
  const char *str_found = strstr(remaining_str, "-");
 
  if (str_found == nullptr) {
    return nullptr;
  }
 
  /* Don't use the "-" from scientific notation, but make sure we can look backwards first. */
  if ((str_found != str) && ELEM(*(str_found - 1), 'e', 'E')) {
    return find_next_negative(str, str_found + 1);
  }
 
  if (*(str_found + 1) == ' ') {
    str_found++;
  }
 
  return str_found + 1;
}

static char *find_next_op(const char *str, char *remaining_str, int remaining_str_maxncpy)
{
  int i;
  for (i = 0; i < remaining_str_maxncpy; i++) {
    if (remaining_str[i] == '\0') {
      return remaining_str + i;
    }
 
    if (ch_is_op(remaining_str[i])) {
      /* Make sure we don't look backwards before the start of the string. */
      if (remaining_str != str && i != 0) {
        /* Check for velocity or acceleration (e.g. '/' in 'ft/s' is not an op). */
        if ((remaining_str[i] == '/') && ELEM(remaining_str[i - 1], 't', 'T', 'm', 'M') &&
            ELEM(remaining_str[i + 1], 's', 'S'))
        {
          continue;
        }
 
        /* Check for scientific notation. */
        if (ELEM(remaining_str[i - 1], 'e', 'E')) {
          continue;
        }
 
        /* Return position before a space character. */
        if (remaining_str[i - 1] == ' ') {
          i--;
        }
      }
 
      return remaining_str + i;
    }
  }
  BLI_assert_msg(0, "String should be null terminated");
  return remaining_str + i;
}

static char *skip_unary_op(char *str)
{
  while (*str == ' ' || ch_is_op_unary(*str)) {
    str++;
  }
  return str;
}

static bool unit_distribute_negatives(char *str, const int str_maxncpy)
{
  bool changed = false;
 
  char *remaining_str = str;
  while ((remaining_str = const_cast<char *>(find_next_negative(str, remaining_str))) != nullptr) {
    int remaining_str_maxncpy;
    /* Exit early in the unlikely situation that we've run out of length to add the parentheses. */
    remaining_str_maxncpy = str_maxncpy - int(remaining_str - str);
    if (remaining_str_maxncpy <= 2) {
      return changed;
    }
 
    changed = true;
 
    /* Add '(', shift the following characters to the right to make space. */
    memmove(remaining_str + 1, remaining_str, remaining_str_maxncpy - 2);
    *remaining_str = '(';
 
    /* Add the ')' before the next operation or at the end.
     * Unary operators are skipped to allow `--` to be a supported prefix. */
    remaining_str = find_next_op(str, skip_unary_op(remaining_str + 1), remaining_str_maxncpy);
    remaining_str_maxncpy = str_maxncpy - int(remaining_str - str);
    memmove(remaining_str + 1, remaining_str, remaining_str_maxncpy - 2);
    *remaining_str = ')';
 
    /* Only move forward by 1 even though we added two characters. Minus signs need to be able to
     * apply to the next block of values too. */
    remaining_str += 1;
  }
 
  return changed;
}

static int find_previous_non_value_char(const char *str, const int start_ofs)
{
  for (int i = start_ofs; i > 0; i--) {
    if (ch_is_op(str[i - 1]) || strchr("( )", str[i - 1])) {
      return i;
    }
  }
  return 0;
}

static int find_end_of_value_chars(const char *str, const int str_maxncpy, const int start_ofs)
{
  int i;
  for (i = start_ofs; i < str_maxncpy; i++) {
    if (!strchr("0123456789eE.", str[i])) {
      return i;
    }
  }
  return i;
}
 
static int unit_scale_str(char *str,
                          int str_maxncpy,
                          char *str_tmp,
                          double scale_pref,
                          const bUnitDef *unit,
                          const char *replace_str,
                          bool case_sensitive)
{
  if (str_maxncpy < 0) {
    return 0;
  }
 
  /* XXX: investigate, does not respect str_maxncpy properly. */
  char *str_found = (char *)unit_find_str(str, replace_str, case_sensitive);
 
  if (str_found == nullptr) {
    return 0;
  }
 
  int found_ofs = int(str_found - str);
 
  int len = strlen(str);
 
  /* Deal with unit bias for temperature units. Order of operations is important, so we
   * have to add parentheses, add the bias, then multiply by the scalar like usual.
   *
   * NOTE: If these changes don't fit in the buffer properly unit evaluation has failed,
   * just try not to destroy anything while failing. */
  if (unit->bias != 0.0) {
    /* Add the open parenthesis. */
    int prev_op_ofs = find_previous_non_value_char(str, found_ofs);
    if (len + 1 < str_maxncpy) {
      memmove(str + prev_op_ofs + 1, str + prev_op_ofs, len - prev_op_ofs + 1);
      str[prev_op_ofs] = '(';
      len++;
      found_ofs++;
      str_found++;
    } /* If this doesn't fit, we have failed. */
 
    /* Add the addition sign, the bias, and the close parenthesis after the value. */
    int value_end_ofs = find_end_of_value_chars(str, str_maxncpy, prev_op_ofs + 2);
    int len_bias_num = BLI_snprintf_rlen(str_tmp, TEMP_STR_SIZE, "+%.9g)", unit->bias);
    if (value_end_ofs + len_bias_num < str_maxncpy) {
      memmove(str + value_end_ofs + len_bias_num, str + value_end_ofs, len - value_end_ofs + 1);
      memcpy(str + value_end_ofs, str_tmp, len_bias_num);
      len += len_bias_num;
      found_ofs += len_bias_num;
      str_found += len_bias_num;
    } /* If this doesn't fit, we have failed. */
  }
 
  int len_name = strlen(replace_str);
  int len_move = (len - (found_ofs + len_name)) + 1; /* 1+ to copy the string terminator. */
 
  /* "#" Removed later */
  int len_num = BLI_snprintf_rlen(
      str_tmp, TEMP_STR_SIZE, "*%.9g" SEP_STR, unit->scalar / scale_pref);
 
  len_num = std::min(len_num, str_maxncpy);
 
  if (found_ofs + len_num + len_move > str_maxncpy) {
    /* Can't move the whole string, move just as much as will fit. */
    len_move -= (found_ofs + len_num + len_move) - str_maxncpy;
  }
 
  if (len_move > 0) {
    /* Resize the last part of the string.
     * May grow or shrink the string. */
    memmove(str_found + len_num, str_found + len_name, len_move);
  }
 
  if (found_ofs + len_num > str_maxncpy) {
    /* Not even the number will fit into the string, only copy part of it. */
    len_num -= (found_ofs + len_num) - str_maxncpy;
  }
 
  if (len_num > 0) {
    /* It's possible none of the number could be copied in. */
    memcpy(str_found, str_tmp, len_num); /* Without the string terminator. */
  }
 
  /* Since the null terminator won't be moved if the stringlen_max
   * was not long enough to fit everything in it. */
  str[str_maxncpy - 1] = '\0';
  return found_ofs + len_num;
}
 
static int unit_replace(
    char *str, int str_maxncpy, char *str_tmp, double scale_pref, const bUnitDef *unit)
{
  const bool case_sensitive = (unit->flag & B_UNIT_DEF_CASE_SENSITIVE) != 0;
  int ofs = 0;
  ofs += unit_scale_str(
      str + ofs, str_maxncpy - ofs, str_tmp, scale_pref, unit, unit->name_short, case_sensitive);
  ofs += unit_scale_str(
      str + ofs, str_maxncpy - ofs, str_tmp, scale_pref, unit, unit->name_plural, false);
  ofs += unit_scale_str(
      str + ofs, str_maxncpy - ofs, str_tmp, scale_pref, unit, unit->name_alt, case_sensitive);
  ofs += unit_scale_str(
      str + ofs, str_maxncpy - ofs, str_tmp, scale_pref, unit, unit->name, false);
  return ofs;
}
 
static bool unit_find(const char *str, const bUnitDef *unit)
{
  const bool case_sensitive = (unit->flag & B_UNIT_DEF_CASE_SENSITIVE) != 0;
  if (unit_find_str(str, unit->name_short, case_sensitive)) {
    return true;
  }
  if (unit_find_str(str, unit->name_plural, false)) {
    return true;
  }
  if (unit_find_str(str, unit->name_alt, case_sensitive)) {
    return true;
  }
  if (unit_find_str(str, unit->name, false)) {
    return true;
  }
 
  return false;
}
 
static const bUnitDef *unit_find_in_collection(const bUnitCollection *usys, const char *str)
{
  for (const bUnitDef *unit = usys->units; unit->name; unit++) {
    if (unit_find(str, unit)) {
      return unit;
    }
  }
  return nullptr;
}

static const bUnitDef *unit_detect_from_str(const bUnitCollection *usys,
                                            const char *str,
                                            const char *str_prev)
{
  /* See which units the new value has. */
  const bUnitDef *unit = unit_find_in_collection(usys, str);
  /* Else, try to infer the default unit from the previous string. */
  if (str_prev && (unit == nullptr)) {
    /* See which units the original value had. */
    unit = unit_find_in_collection(usys, str_prev);
  }
  /* Else, fall back to default unit. */
  if (unit == nullptr) {
    unit = unit_default(usys);
  }
 
  return unit;
}
 
bool BKE_unit_string_contains_unit(const char *str, int type)
{
  for (int system = 0; system < UNIT_SYSTEM_TOT; system++) {
    const bUnitCollection *usys = unit_get_system(system, type);
    if (!is_valid_unit_collection(usys)) {
      continue;
    }
    if (unit_find_in_collection(usys, str)) {
      return true;
    }
  }
  return false;
}
 
double BKE_unit_apply_preferred_unit(const UnitSettings &settings, int type, double value)
{
  PreferredUnits units = preferred_units_from_UnitSettings(settings);
  const bUnitDef *unit = get_preferred_display_unit_if_used(type, units);
 
  const double scalar = (unit == nullptr) ? BKE_unit_base_scalar(units.system, type) :
                                            unit->scalar;
  const double bias = (unit == nullptr) ? 0.0 : unit->bias; /* Base unit shouldn't have a bias. */
 
  return value * scalar + bias;
}
 
bool BKE_unit_replace_string(
    char *str, int str_maxncpy, const char *str_prev, double scale_pref, int system, int type)
{
  const bUnitCollection *usys = unit_get_system(system, type);
  if (!is_valid_unit_collection(usys)) {
    return false;
  }
 
  double scale_pref_base = scale_pref;
  char str_tmp[TEMP_STR_SIZE];
  bool changed = false;
 
  /* Fix cases like "-1m50cm" which would evaluate to -0.5m without this. */
  changed |= unit_distribute_negatives(str, str_maxncpy);
 
  /* Try to find a default unit from current or previous string. */
  const bUnitDef *default_unit = unit_detect_from_str(usys, str, str_prev);
 
  /* We apply the default unit to the whole expression (default unit is now the reference
   * '1.0' one). */
  scale_pref_base *= default_unit->scalar;
 
  /* Apply the default unit on the whole expression, this allows to handle nasty cases like
   * '2+2in'. */
  if (SNPRINTF(str_tmp, "(%s)*%.9g", str, default_unit->scalar) < sizeof(str_tmp)) {
    BLI_strncpy(str, str_tmp, str_maxncpy);
  }
  else {
    /* BLI_snprintf would not fit into str_tmp, can't do much in this case.
     * Check for this because otherwise BKE_unit_replace_string could call itself forever. */
    return changed;
  }
 
  for (const bUnitDef *unit = usys->units; unit->name; unit++) {
    /* In case there are multiple instances. */
    while (unit_replace(str, str_maxncpy, str_tmp, scale_pref_base, unit)) {
      changed = true;
    }
  }
 
  /* Try other unit systems now, so we can evaluate imperial when metric is set for eg. */
  /* Note that checking other systems at that point means we do not support their units as
   * 'default' one. In other words, when in metrics, typing '2+2in' will give 2 meters 2 inches,
   * not 4 inches. I do think this is the desired behavior!
   */
  for (int system_iter = 0; system_iter < UNIT_SYSTEM_TOT; system_iter++) {
    if (system_iter == system) {
      continue;
    }
    const bUnitCollection *usys_iter = unit_get_system(system_iter, type);
    if (usys_iter == nullptr) {
      continue;
    }
 
    for (const bUnitDef *unit = usys_iter->units; unit->name; unit++) {
      int ofs = 0;
      /* In case there are multiple instances. */
      while ((ofs = unit_replace(str + ofs, str_maxncpy - ofs, str_tmp, scale_pref_base, unit))) {
        changed = true;
      }
    }
  }
 
  /* Replace # with add sign when there is no operator between it and the next number.
   *
   * "1*1# 3*100# * 3"  ->  "1*1+ 3*100  * 3"
   */
  {
    char *str_found = str;
 
    while ((str_found = strchr(str_found, SEP_CHR))) {
      bool op_found = false;
 
      /* Any operators after this? */
      for (const char *ch = str_found + 1; *ch != '\0'; ch++) {
        if (ELEM(*ch, ' ', '\t')) {
          continue;
        }
        op_found = (ch_is_op(*ch) || ELEM(*ch, ',', ')'));
        break;
      }
 
      /* If found an op, comma or closing parenthesis, no need to insert a '+', else we need it. */
      *str_found++ = op_found ? ' ' : '+';
    }
  }
 
  return changed;
}
 
void BKE_unit_name_to_alt(char *str, int str_maxncpy, const char *orig_str, int system, int type)
{
  const bUnitCollection *usys = unit_get_system(system, type);
 
  /* Find and substitute all units. */
  for (const bUnitDef *unit = usys->units; unit->name && (str_maxncpy > 0); unit++) {
    if (unit->name_alt == nullptr) {
      continue;
    }
    const bool case_sensitive = (unit->flag & B_UNIT_DEF_CASE_SENSITIVE) != 0;
    const char *found = unit_find_str(orig_str, unit->name_short, case_sensitive);
    if (found == nullptr) {
      continue;
    }
 
    int offset = int(found - orig_str);
 
    /* Copy everything before the unit. */
    if (offset < str_maxncpy) {
      memcpy(str, orig_str, offset);
    }
    else {
      BLI_strncpy(str, orig_str, str_maxncpy);
      offset = str_maxncpy;
    }
 
    str += offset;
    orig_str += offset + strlen(unit->name_short);
    str_maxncpy -= offset;
 
    /* Print the alt_name. */
    const int len_name = BLI_strncpy_rlen(str, unit->name_alt, str_maxncpy);
    BLI_assert(len_name < str_maxncpy);
    str += len_name;
    str_maxncpy -= len_name;
  }
 
  /* Finally copy the rest of the string. */
  BLI_strncpy(str, orig_str, str_maxncpy);
}
 
double BKE_unit_closest_scalar(double value, int system, int type)
{
  const bUnitCollection *usys = unit_get_system(system, type);
 
  if (usys == nullptr) {
    return -1;
  }
 
  const bUnitDef *unit = unit_best_fit(value, usys, nullptr, 1);
  if (unit == nullptr) {
    return -1;
  }
 
  return unit->scalar;
}
 
double BKE_unit_base_scalar(int system, int type)
{
  const bUnitCollection *usys = unit_get_system(system, type);
  if (usys) {
    return unit_default(usys)->scalar;
  }
 
  return 1.0;
}
 
bool BKE_unit_is_valid(int system, int type)
{
  return !(system < 0 || system > UNIT_SYSTEM_TOT || type < 0 || type > B_UNIT_TYPE_TOT);
}
 
void BKE_unit_system_get(int system, int type, void const **r_usys_pt, int *r_len)
{
  const bUnitCollection *usys = unit_get_system(system, type);
  *r_usys_pt = usys;
 
  if (usys == nullptr) {
    *r_len = 0;
    return;
  }
 
  *r_len = usys->length;
}
 
int BKE_unit_base_get(const void *usys_pt)
{
  return ((bUnitCollection *)usys_pt)->base_unit;
}
 
int BKE_unit_base_of_type_get(int system, int type)
{
  return unit_get_system(system, type)->base_unit;
}
 
const char *BKE_unit_name_get(const void *usys_pt, int index)
{
  const bUnitCollection *usys = static_cast<const bUnitCollection *>(usys_pt);
  BLI_assert(uint(index) < uint(usys->length));
  return usys->units[index].name;
}
const char *BKE_unit_display_name_get(const void *usys_pt, int index)
{
  const bUnitCollection *usys = static_cast<const bUnitCollection *>(usys_pt);
  BLI_assert(uint(index) < uint(usys->length));
  return usys->units[index].name_display;
}
const char *BKE_unit_identifier_get(const void *usys_pt, int index)
{
  const bUnitCollection *usys = static_cast<const bUnitCollection *>(usys_pt);
  BLI_assert(uint(index) < uint(usys->length));
  const bUnitDef *unit = &usys->units[index];
  if (unit->identifier == nullptr) {
    BLI_assert_msg(0, "identifier for this unit is not specified yet");
  }
  return unit->identifier;
}
 
double BKE_unit_scalar_get(const void *usys_pt, int index)
{
  const bUnitCollection *usys = static_cast<const bUnitCollection *>(usys_pt);
  BLI_assert(uint(index) < uint(usys->length));
  return usys->units[index].scalar;
}
 
bool BKE_unit_is_suppressed(const void *usys_pt, int index)
{
  const bUnitCollection *usys = static_cast<const bUnitCollection *>(usys_pt);
  BLI_assert(uint(index) < uint(usys->length));
  return (usys->units[index].flag & B_UNIT_DEF_SUPPRESS) != 0;
}