unit.c

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/*
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 */
 
#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
 
#include "BLI_math.h"
#include "BLI_string.h"
#include "BLI_string_utf8.h"
#include "BLI_sys_types.h"
 
#include "DNA_scene_types.h"
 
#include "BKE_unit.h" /* 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. */
typedef 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;
} bUnitDef;
 
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. */
typedef struct bUnitCollection {
  const struct bUnitDef *units;
  int base_unit;
  int flag;
  int length;
} bUnitCollection;
 
/* Keep table Alignment. */
/* clang-format off */
 
#define UNIT_COLLECTION_LENGTH(def) (ARRAY_SIZE(def) - 1)
#define NULL_UNIT {NULL, NULL, NULL, NULL, NULL, NULL, 0.0, 0.0}
 
/* Dummy */
static struct bUnitDef buDummyDef[] = { {"", NULL, "", NULL, NULL, NULL, 1.0, 0.0}, NULL_UNIT};
static struct bUnitCollection buDummyCollection = {buDummyDef, 0, 0, sizeof(buDummyDef)};
 
/* Lengths. */
static struct bUnitDef buMetricLenDef[] = {
  {"kilometer",  "kilometers",  "km",  NULL, "Kilometers",     "KILOMETERS",  UN_SC_KM,  0.0, B_UNIT_DEF_NONE},
  {"hectometer", "hectometers", "hm",  NULL, "100 Meters",     "HECTOMETERS", UN_SC_HM,  0.0, B_UNIT_DEF_SUPPRESS},
  {"dekameter",  "dekameters",  "dam", NULL, "10 Meters",      "DEKAMETERS",  UN_SC_DAM, 0.0, B_UNIT_DEF_SUPPRESS},
  {"meter",      "meters",      "m",   NULL, "Meters",         "METERS",      UN_SC_M,   0.0, B_UNIT_DEF_NONE},     /* Base unit. */
  {"decimeter",  "decimeters",  "dm",  NULL, "10 Centimeters", "DECIMETERS",  UN_SC_DM,  0.0, B_UNIT_DEF_SUPPRESS},
  {"centimeter", "centimeters", "cm",  NULL, "Centimeters",    "CENTIMETERS", UN_SC_CM,  0.0, B_UNIT_DEF_NONE},
  {"millimeter", "millimeters", "mm",  NULL, "Millimeters",    "MILLIMETERS", UN_SC_MM,  0.0, B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH},
  {"micrometer", "micrometers", "µm",  "um", "Micrometers",    "MICROMETERS", UN_SC_UM,  0.0, B_UNIT_DEF_NONE},
 
  /* These get displayed because of float precision problems in the transform header,
   * could work around, but for now probably people wont use these. */
#if 0
  {"nanometer", "Nanometers",     "nm", NULL, 0.000000001, 0.0,   B_UNIT_DEF_NONE},
  {"picometer", "Picometers",     "pm", NULL, 0.000000000001, 0.0, B_UNIT_DEF_NONE},
#endif
  NULL_UNIT,
};
static const struct bUnitCollection buMetricLenCollection = {buMetricLenDef, 3, 0, UNIT_COLLECTION_LENGTH(buMetricLenDef)};
 
static struct bUnitDef buImperialLenDef[] = {
  {"mile",    "miles",    "mi",   NULL, "Miles",    "MILES",    UN_SC_MI,  0.0, B_UNIT_DEF_NONE},
  {"furlong", "furlongs", "fur",  NULL, "Furlongs", "FURLONGS", UN_SC_FUR, 0.0, B_UNIT_DEF_SUPPRESS},
  {"chain",   "chains",   "ch",   NULL, "Chains",   "CHAINS",   UN_SC_CH,  0.0, B_UNIT_DEF_SUPPRESS},
  {"yard",    "yards",    "yd",   NULL, "Yards",    "YARDS",    UN_SC_YD,  0.0, B_UNIT_DEF_SUPPRESS},
  {"foot",    "feet",     "'",    "ft", "Feet",     "FEET",     UN_SC_FT,  0.0, B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE}, /* Base unit. */
  {"inch",    "inches",   "\"",   "in", "Inches",   "INCHES",   UN_SC_IN,  0.0, B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE},
  {"thou",    "thou",     "thou", "mil", "Thou",    "THOU",     UN_SC_MIL, 0.0, B_UNIT_DEF_NONE}, /* Plural for "thou" has no 's'. */
  NULL_UNIT,
};
static struct bUnitCollection buImperialLenCollection = {buImperialLenDef, 4, 0, UNIT_COLLECTION_LENGTH(buImperialLenDef)};
 
/* Areas. */
static struct bUnitDef buMetricAreaDef[] = {
  {"square kilometer",  "square kilometers",  "km²",  "km2",  "Square Kilometers",  NULL, UN_SC_KM * UN_SC_KM,   0.0, B_UNIT_DEF_NONE},
  {"square hectometer", "square hectometers", "hm²",  "hm2",  "Square Hectometers", NULL, UN_SC_HM * UN_SC_HM,   0.0, B_UNIT_DEF_SUPPRESS},   /* Hectare. */
  {"square dekameter",  "square dekameters",  "dam²", "dam2", "Square Dekameters",  NULL, UN_SC_DAM * UN_SC_DAM, 0.0, B_UNIT_DEF_SUPPRESS},  /* are */
  {"square meter",      "square meters",      "m²",   "m2",   "Square Meters",      NULL, UN_SC_M * UN_SC_M,     0.0, B_UNIT_DEF_NONE},   /* Base unit. */
  {"square decimeter",  "square decimetees",  "dm²",  "dm2",  "Square Decimeters",  NULL, UN_SC_DM * UN_SC_DM,   0.0, B_UNIT_DEF_SUPPRESS},
  {"square centimeter", "square centimeters", "cm²",  "cm2",  "Square Centimeters", NULL, UN_SC_CM * UN_SC_CM,   0.0, B_UNIT_DEF_NONE},
  {"square millimeter", "square millimeters", "mm²",  "mm2",  "Square Millimeters", NULL, UN_SC_MM * UN_SC_MM,   0.0, B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH},
  {"square micrometer", "square micrometers", "µm²",  "um2",  "Square Micrometers", NULL, UN_SC_UM * UN_SC_UM,   0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buMetricAreaCollection = {buMetricAreaDef, 3, 0, UNIT_COLLECTION_LENGTH(buMetricAreaDef)};
 
static struct bUnitDef buImperialAreaDef[] = {
  {"square mile",    "square miles",    "sq mi", "sq m", "Square Miles",    NULL, UN_SC_MI * UN_SC_MI,   0.0, B_UNIT_DEF_NONE},
  {"square furlong", "square furlongs", "sq fur", NULL,  "Square Furlongs", NULL, UN_SC_FUR * UN_SC_FUR, 0.0, B_UNIT_DEF_SUPPRESS},
  {"square chain",   "square chains",   "sq ch",  NULL,  "Square Chains",   NULL, UN_SC_CH * UN_SC_CH,   0.0, B_UNIT_DEF_SUPPRESS},
  {"square yard",    "square yards",    "sq yd",  NULL,  "Square Yards",    NULL, UN_SC_YD * UN_SC_YD,   0.0, B_UNIT_DEF_NONE},
  {"square foot",    "square feet",     "sq ft",  NULL,  "Square Feet",     NULL, UN_SC_FT * UN_SC_FT,   0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"square inch",    "square inches",   "sq in",  NULL,  "Square Inches",   NULL, UN_SC_IN * UN_SC_IN,   0.0, B_UNIT_DEF_NONE},
  {"square thou",    "square thou",     "sq mil", NULL,  "Square Thou",     NULL, UN_SC_MIL * UN_SC_MIL, 0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buImperialAreaCollection = {buImperialAreaDef, 4, 0, UNIT_COLLECTION_LENGTH(buImperialAreaDef)};
 
/* Volumes. */
static struct bUnitDef buMetricVolDef[] = {
  {"cubic kilometer",  "cubic kilometers",  "km³",  "km3",  "Cubic Kilometers",  NULL, UN_SC_KM * UN_SC_KM * UN_SC_KM,    0.0, B_UNIT_DEF_NONE},
  {"cubic hectometer", "cubic hectometers", "hm³",  "hm3",  "Cubic Hectometers", NULL, UN_SC_HM * UN_SC_HM * UN_SC_HM,    0.0, B_UNIT_DEF_SUPPRESS},
  {"cubic dekameter",  "cubic dekameters",  "dam³", "dam3", "Cubic Dekameters",  NULL, UN_SC_DAM * UN_SC_DAM * UN_SC_DAM, 0.0, B_UNIT_DEF_SUPPRESS},
  {"cubic meter",      "cubic meters",      "m³",   "m3",   "Cubic Meters",      NULL, UN_SC_M * UN_SC_M * UN_SC_M,       0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"cubic decimeter",  "cubic decimeters",  "dm³",  "dm3",  "Cubic Decimeters",  NULL, UN_SC_DM * UN_SC_DM * UN_SC_DM,    0.0, B_UNIT_DEF_SUPPRESS},
  {"cubic centimeter", "cubic centimeters", "cm³",  "cm3",  "Cubic Centimeters", NULL, UN_SC_CM * UN_SC_CM * UN_SC_CM,    0.0, B_UNIT_DEF_NONE},
  {"cubic millimeter", "cubic millimeters", "mm³",  "mm3",  "Cubic Millimeters", NULL, UN_SC_MM * UN_SC_MM * UN_SC_MM,    0.0, B_UNIT_DEF_NONE | B_UNIT_DEF_TENTH},
  {"cubic micrometer", "cubic micrometers", "µm³",  "um3",  "Cubic Micrometers", NULL, UN_SC_UM * UN_SC_UM * UN_SC_UM,    0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buMetricVolCollection = {buMetricVolDef, 3, 0, UNIT_COLLECTION_LENGTH(buMetricVolDef)};
 
static struct bUnitDef buImperialVolDef[] = {
  {"cubic mile",    "cubic miles",    "cu mi",  "cu m", "Cubic Miles",    NULL, UN_SC_MI * UN_SC_MI * UN_SC_MI,    0.0, B_UNIT_DEF_NONE},
  {"cubic furlong", "cubic furlongs", "cu fur", NULL,   "Cubic Furlongs", NULL, UN_SC_FUR * UN_SC_FUR * UN_SC_FUR, 0.0, B_UNIT_DEF_SUPPRESS},
  {"cubic chain",   "cubic chains",   "cu ch",  NULL,   "Cubic Chains",   NULL, UN_SC_CH * UN_SC_CH * UN_SC_CH,    0.0, B_UNIT_DEF_SUPPRESS},
  {"cubic yard",    "cubic yards",    "cu yd",  NULL,   "Cubic Yards",    NULL, UN_SC_YD * UN_SC_YD * UN_SC_YD,    0.0, B_UNIT_DEF_NONE},
  {"cubic foot",    "cubic feet",     "cu ft",  NULL,   "Cubic Feet",     NULL, UN_SC_FT * UN_SC_FT * UN_SC_FT,    0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"cubic inch",    "cubic inches",   "cu in",  NULL,   "Cubic Inches",   NULL, UN_SC_IN * UN_SC_IN * UN_SC_IN,    0.0, B_UNIT_DEF_NONE},
  {"cubic thou",    "cubic thou",     "cu mil", NULL,   "Cubic Thou",     NULL, UN_SC_MIL * UN_SC_MIL * UN_SC_MIL, 0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buImperialVolCollection = {buImperialVolDef, 4, 0, UNIT_COLLECTION_LENGTH(buImperialVolDef)};
 
/* Mass. */
static struct bUnitDef buMetricMassDef[] = {
  {"ton",       "tonnes",     "ton", "t",  "Tonnes",        "TONNES",     UN_SC_MTON, 0.0, B_UNIT_DEF_NONE},
  {"quintal",   "quintals",   "ql",  "q",  "100 Kilograms", "QUINTALS",   UN_SC_QL,   0.0, B_UNIT_DEF_SUPPRESS},
  {"kilogram",  "kilograms",  "kg",  NULL, "Kilograms",     "KILOGRAMS",  UN_SC_KG,   0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"hectogram", "hectograms", "hg",  NULL, "Hectograms",    "HECTOGRAMS", UN_SC_HG,   0.0, B_UNIT_DEF_SUPPRESS},
  {"dekagram",  "dekagrams",  "dag", NULL, "10 Grams",      "DEKAGRAMS",  UN_SC_DAG,  0.0, B_UNIT_DEF_SUPPRESS},
  {"gram",      "grams",      "g",   NULL, "Grams",         "GRAMS",      UN_SC_G,    0.0, B_UNIT_DEF_NONE},
  {"milligram", "milligrams", "mg",  NULL, "Milligrams",    "MILLIGRAMS", UN_SC_MG,   0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buMetricMassCollection = {buMetricMassDef, 2, 0, UNIT_COLLECTION_LENGTH(buMetricMassDef)};
 
static struct bUnitDef buImperialMassDef[] = {
  {"ton",           "tonnes",         "ton", "t",  "Tonnes",         "TONNES",         UN_SC_ITON, 0.0, B_UNIT_DEF_NONE},
  {"centum weight", "centum weights", "cwt", NULL, "Centum weights", "CENTUM_WEIGHTS", UN_SC_CWT,  0.0, B_UNIT_DEF_NONE},
  {"stone",         "stones",         "st",  NULL, "Stones",         "STONES",         UN_SC_ST,   0.0, B_UNIT_DEF_NONE},
  {"pound",         "pounds",         "lb",  NULL, "Pounds",         "POUNDS",         UN_SC_LB,   0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"ounce",         "ounces",         "oz",  NULL, "Ounces",         "OUNCES",         UN_SC_OZ,   0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buImperialMassCollection = {buImperialMassDef, 3, 0, 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 struct bUnitDef buMetricVelDef[] = {
  {"meter per second",   "meters per second",   "m/s",  NULL, "Meters per second",   NULL, UN_SC_M,            0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"kilometer per hour", "kilometers per hour", "km/h", NULL, "Kilometers per hour", NULL, UN_SC_KM / 3600.0f, 0.0, B_UNIT_DEF_SUPPRESS},
  NULL_UNIT,
};
static struct bUnitCollection buMetricVelCollection = {buMetricVelDef, 0, 0, UNIT_COLLECTION_LENGTH(buMetricVelDef)};
 
static struct bUnitDef buImperialVelDef[] = {
  {"foot per second", "feet per second", "ft/s", "fps", "Feet per second", NULL, UN_SC_FT,           0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"mile per hour",   "miles per hour",  "mph",  NULL,  "Miles per hour",  NULL, UN_SC_MI / 3600.0f, 0.0, B_UNIT_DEF_SUPPRESS},
  NULL_UNIT,
};
static struct bUnitCollection buImperialVelCollection = {buImperialVelDef, 0, 0, UNIT_COLLECTION_LENGTH(buImperialVelDef)};
 
/* Acceleration. */
static struct bUnitDef buMetricAclDef[] = {
  {"meter per second squared", "meters per second squared", "m/s²", "m/s2", "Meters per second squared", NULL, UN_SC_M, 0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  NULL_UNIT,
};
static struct bUnitCollection buMetricAclCollection = {buMetricAclDef, 0, 0, UNIT_COLLECTION_LENGTH(buMetricAclDef)};
 
static struct bUnitDef buImperialAclDef[] = {
  {"foot per second squared", "feet per second squared", "ft/s²", "ft/s2", "Feet per second squared", NULL, UN_SC_FT, 0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  NULL_UNIT,
};
static struct bUnitCollection buImperialAclCollection = {buImperialAclDef, 0, 0, UNIT_COLLECTION_LENGTH(buImperialAclDef)};
 
/* Time. */
static struct bUnitDef buNaturalTimeDef[] = {
  /* Weeks? - probably not needed for Blender. */
  {"day",         "days",         "d",   NULL, "Days",         "DAYS",     90000.0,      0.0, B_UNIT_DEF_NONE},
  {"hour",        "hours",        "hr",  "h",  "Hours",        "HOURS",     3600.0,      0.0, B_UNIT_DEF_NONE},
  {"minute",      "minutes",      "min", "m",  "Minutes",      "MINUTES",     60.0,      0.0, B_UNIT_DEF_NONE},
  {"second",      "seconds",      "sec", "s",  "Seconds",      "SECONDS",      1.0,      0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"millisecond", "milliseconds", "ms",  NULL, "Milliseconds", "MILLISECONDS", 0.001,    0.0, B_UNIT_DEF_NONE},
  {"microsecond", "microseconds", "µs",  "us", "Microseconds", "MICROSECONDS", 0.000001, 0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buNaturalTimeCollection = {buNaturalTimeDef, 3, 0, UNIT_COLLECTION_LENGTH(buNaturalTimeDef)};
 
 
static struct bUnitDef buNaturalRotDef[] = {
  {"degree",    "degrees",     "°",  "d",   "Degrees",    "DEGREES",    M_PI / 180.0,             0.0,  B_UNIT_DEF_NONE | B_UNIT_DEF_NO_SPACE},
  /* arcminutes/arcseconds are used in Astronomy/Navigation areas... */
  {"arcminute", "arcminutes",  "'",  NULL,  "Arcminutes", "ARCMINUTES", (M_PI / 180.0) / 60.0,    0.0,  B_UNIT_DEF_SUPPRESS | B_UNIT_DEF_NO_SPACE},
  {"arcsecond", "arcseconds",  "\"", NULL,  "Arcseconds", "ARCSECONDS", (M_PI / 180.0) / 3600.0,  0.0,  B_UNIT_DEF_SUPPRESS | B_UNIT_DEF_NO_SPACE},
  {"radian",    "radians",     "r",  NULL,  "Radians",    "RADIANS",    1.0,                      0.0,  B_UNIT_DEF_NONE},
#if 0
  {"turn",    "turns",         "t",  NULL,  "Turns",      NULL,         1.0 / (M_PI * 2.0),       0.0,  B_UNIT_DEF_NONE},
#endif
  NULL_UNIT,
};
static struct bUnitCollection buNaturalRotCollection = {buNaturalRotDef, 0, 0, UNIT_COLLECTION_LENGTH(buNaturalRotDef)};
 
/* Camera Lengths. */
static struct bUnitDef buCameraLenDef[] = {
  {"meter",      "meters",      "m",   NULL, "Meters",         NULL, UN_SC_KM,  0.0, B_UNIT_DEF_NONE},     /* Base unit. */
  {"decimeter",  "decimeters",  "dm",  NULL, "10 Centimeters", NULL, UN_SC_HM,  0.0, B_UNIT_DEF_SUPPRESS},
  {"centimeter", "centimeters", "cm",  NULL, "Centimeters",    NULL, UN_SC_DAM, 0.0, B_UNIT_DEF_SUPPRESS},
  {"millimeter", "millimeters", "mm",  NULL, "Millimeters",    NULL, UN_SC_M,   0.0, B_UNIT_DEF_NONE},
  {"micrometer", "micrometers", "µm",  "um",  "Micrometers",    NULL, UN_SC_MM,  0.0, B_UNIT_DEF_SUPPRESS},
  NULL_UNIT,
};
static struct bUnitCollection buCameraLenCollection = {buCameraLenDef, 3, 0, UNIT_COLLECTION_LENGTH(buCameraLenDef)};
 
/* (Light) Power. */
static struct bUnitDef buPowerDef[] = {
  {"gigawatt",  "gigawatts",  "GW", NULL, "Gigawatts",  NULL, 1e9f,  0.0, B_UNIT_DEF_NONE},
  {"megawatt",  "megawatts",  "MW", NULL, "Megawatts",  NULL, 1e6f,  0.0, B_UNIT_DEF_CASE_SENSITIVE},
  {"kilowatt",  "kilowatts",  "kW", NULL, "Kilowatts",  NULL, 1e3f,  0.0, B_UNIT_DEF_SUPPRESS},
  {"watt",      "watts",      "W",  NULL, "Watts",      NULL, 1.0f,  0.0, B_UNIT_DEF_NONE}, /* Base unit. */
  {"milliwatt", "milliwatts", "mW", NULL, "Milliwatts", NULL, 1e-3f, 0.0, B_UNIT_DEF_CASE_SENSITIVE},
  {"microwatt", "microwatts", "µW", "uW", "Microwatts", NULL, 1e-6f, 0.0, B_UNIT_DEF_NONE},
  {"nanowatt",  "nanowatts",  "nW", NULL, "Nanowatts",  NULL, 1e-9f, 0.0, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buPowerCollection = {buPowerDef, 3, 0, UNIT_COLLECTION_LENGTH(buPowerDef)};
 
/* Temperature */
static struct bUnitDef buMetricTempDef[] = {
  {"kelvin",  "kelvin",  "K",  NULL, "Kelvin",  "KELVIN",  1.0f, 0.0,    B_UNIT_DEF_NONE}, /* Base unit. */
  {"celsius", "celsius", "°C", "C",  "Celsius", "CELSIUS", 1.0f, 273.15, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buMetricTempCollection = {buMetricTempDef, 0, 0, UNIT_COLLECTION_LENGTH(buMetricTempDef)};
 
static struct bUnitDef buImperialTempDef[] = {
  {"kelvin",     "kelvin",     "K",  NULL, "Kelvin",     "KELVIN",     1.0f,      0.0,    B_UNIT_DEF_NONE}, /* Base unit. */
  {"fahrenheit", "fahrenheit", "°F", "F",  "Fahrenheit", "FAHRENHEIT", UN_SC_FAH, 459.67, B_UNIT_DEF_NONE},
  NULL_UNIT,
};
static struct bUnitCollection buImperialTempCollection = {
    buImperialTempDef, 1, 0, UNIT_COLLECTION_LENGTH(buImperialTempDef)};
 
/* clang-format on */
 
#define UNIT_SYSTEM_TOT (((sizeof(bUnitSystems) / B_UNIT_TYPE_TOT) / sizeof(void *)) - 1)
static const struct bUnitCollection *bUnitSystems[][B_UNIT_TYPE_TOT] = {
    /* Natural. */
    {NULL,
     NULL,
     NULL,
     NULL,
     NULL,
     &buNaturalRotCollection,
     &buNaturalTimeCollection,
     NULL,
     NULL,
     NULL,
     NULL,
     NULL},
    /* Metric. */
    {NULL,
     &buMetricLenCollection,
     &buMetricAreaCollection,
     &buMetricVolCollection,
     &buMetricMassCollection,
     &buNaturalRotCollection,
     &buNaturalTimeCollection,
     &buMetricVelCollection,
     &buMetricAclCollection,
     &buCameraLenCollection,
     &buPowerCollection,
     &buMetricTempCollection},
    /* Imperial. */
    {NULL,
     &buImperialLenCollection,
     &buImperialAreaCollection,
     &buImperialVolCollection,
     &buImperialMassCollection,
     &buNaturalRotCollection,
     &buNaturalTimeCollection,
     &buImperialVelCollection,
     &buImperialAclCollection,
     &buCameraLenCollection,
     &buPowerCollection,
     &buImperialTempCollection},
    {NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL},
};
 
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, NULL, 1);
 
  *r_value_a = (value < 0.0 ? ceil : floor)(value / unit->scalar) * 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 len_max,
                             double value,
                             int prec,
                             const bUnitCollection *usys,
                             /* Non exposed options. */
                             const bUnitDef *unit,
                             char pad)
{
  if (unit == NULL) {
    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, NULL, 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, len_max, "%.*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) {
    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 < len_max) {
    int j = 0;
    i++;
    while (unit->name_short[j] && (i < len_max)) {
      str[i++] = unit->name_short[j++];
    }
  }
 
  /* Terminate no matter what's done with padding above. */
  if (i >= len_max) {
    i = len_max - 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);
}
 
typedef struct {
  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;
} PreferredUnits;
 
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 len_max,
                                        double value,
                                        int prec,
                                        const bUnitCollection *usys,
                                        const bUnitDef *main_unit)
{
  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) {
    size_t i = unit_as_string(str, len_max, value_a, prec, 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 < len_max) {
      str[i++] = ' ';
 
      /* Use low precision since this is a smaller unit. */
      i += unit_as_string(str + i, len_max - i, value_b, prec, usys, unit_b, '\0');
    }
    return i;
  }
 
  return -1;
}
 
static bool is_valid_unit_collection(const bUnitCollection *usys)
{
  return usys != NULL && usys->units[0].name != NULL;
}
 
static const bUnitDef *get_preferred_display_unit_if_used(int type, PreferredUnits units)
{
  const bUnitCollection *usys = unit_get_system(units.system, type);
  if (!is_valid_unit_collection(usys)) {
    return NULL;
  }
 
  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 NULL;
      }
      return usys->units + MIN2(units.length, max_offset);
    case B_UNIT_MASS:
      if (units.mass == USER_UNIT_ADAPTIVE) {
        return NULL;
      }
      return usys->units + MIN2(units.mass, max_offset);
    case B_UNIT_TIME:
      if (units.time == USER_UNIT_ADAPTIVE) {
        return NULL;
      }
      return usys->units + MIN2(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 NULL;
      }
      return usys->units + MIN2(units.temperature, max_offset);
    default:
      break;
  }
  return NULL;
}
 
/* Return the length of the generated string. */
static size_t unit_as_string_main(char *str,
                                  int len_max,
                                  double value,
                                  int prec,
                                  int type,
                                  bool split,
                                  bool pad,
                                  PreferredUnits units)
{
  const bUnitCollection *usys = unit_get_system(units.system, type);
  const bUnitDef *main_unit = NULL;
 
  if (!is_valid_unit_collection(usys)) {
    usys = &buDummyCollection;
  }
  else {
    main_unit = get_preferred_display_unit_if_used(type, units);
  }
 
  if (split && unit_should_be_split(type)) {
    int length = unit_as_string_split_pair(str, len_max, value, prec, usys, main_unit);
    /* Failed when length is negative, fallback to no split. */
    if (length >= 0) {
      return length;
    }
  }
 
  return unit_as_string(str, len_max, value, prec, usys, main_unit, pad ? ' ' : '\0');
}
 
size_t BKE_unit_value_as_string_adaptive(
    char *str, int len_max, 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, len_max, value, prec, type, split, pad, units);
}
 
size_t BKE_unit_value_as_string(char *str,
                                int len_max,
                                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, len_max, value, prec, type, do_split, pad, units);
}
 
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 == NULL || substr[0] == '\0') {
    return NULL;
  }
 
  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_prev_char_utf8(str_found)) == 0) {
        /* Next char cannot be alphanum. */
        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 NULL;
}
 
/* 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 add 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 char *find_next_negative(const char *str, const char *remaining_str)
{
  char *str_found = strstr(remaining_str, "-");
 
  if (str_found == NULL) {
    return NULL;
  }
 
  /* 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 len_max)
{
  int i;
  for (i = 0; i < len_max; 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(!"String should be NULL terminated");
  return remaining_str + i;
}
 
static bool unit_distribute_negatives(char *str, const int len_max)
{
  bool changed = false;
 
  char *remaining_str = str;
  int remaining_str_len = len_max;
  while ((remaining_str = find_next_negative(str, remaining_str)) != NULL) {
    /* Exit early in the unlikely situation that we've run out of length to add the parentheses. */
    remaining_str_len = len_max - (int)(remaining_str - str);
    if (remaining_str_len <= 2) {
      return changed;
    }
 
    changed = true;
 
    /* Add '(', shift the following characters to the right to make space. */
    memmove(remaining_str + 1, remaining_str, remaining_str_len - 2);
    *remaining_str = '(';
 
    /* Add the ')' before the next operation or at the end. */
    remaining_str = find_next_op(str, remaining_str + 1, remaining_str_len);
    remaining_str_len = len_max - (int)(remaining_str - str);
    memmove(remaining_str + 1, remaining_str, remaining_str_len - 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 len_max, const int start_ofs)
{
  int i;
  for (i = start_ofs; i < len_max; i++) {
    if (!strchr("0123456789eE.", str[i])) {
      return i;
    }
  }
  return i;
}
 
static int unit_scale_str(char *str,
                          int len_max,
                          char *str_tmp,
                          double scale_pref,
                          const bUnitDef *unit,
                          const char *replace_str,
                          bool case_sensitive)
{
  if (len_max < 0) {
    return 0;
  }
 
  /* XXX - investigate, does not respect len_max properly.  */
  char *str_found = (char *)unit_find_str(str, replace_str, case_sensitive);
 
  if (str_found == NULL) {
    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 < len_max) {
      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, len_max, prev_op_ofs + 2);
    int len_bias_num = BLI_snprintf(str_tmp, TEMP_STR_SIZE, "+%.9g)", unit->bias);
    if (value_end_ofs + len_bias_num < len_max) {
      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(str_tmp, TEMP_STR_SIZE, "*%.9g" SEP_STR, unit->scalar / scale_pref);
 
  if (len_num > len_max) {
    len_num = len_max;
  }
 
  if (found_ofs + len_num + len_move > len_max) {
    /* Can't move the whole string, move just as much as will fit. */
    len_move -= (found_ofs + len_num + len_move) - len_max;
  }
 
  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 > len_max) {
    /* Not even the number will fit into the string, only copy part of it. */
    len_num -= (found_ofs + len_num) - len_max;
  }
 
  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 wont be moved if the stringlen_max
   * was not long enough to fit everything in it. */
  str[len_max - 1] = '\0';
  return found_ofs + len_num;
}
 
static int unit_replace(
    char *str, int len_max, 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, len_max - ofs, str_tmp, scale_pref, unit, unit->name_short, case_sensitive);
  ofs += unit_scale_str(
      str + ofs, len_max - ofs, str_tmp, scale_pref, unit, unit->name_plural, false);
  ofs += unit_scale_str(
      str + ofs, len_max - ofs, str_tmp, scale_pref, unit, unit->name_alt, case_sensitive);
  ofs += unit_scale_str(str + ofs, len_max - 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_detect_from_str(const bUnitCollection *usys,
                                            const char *str,
                                            const char *str_prev)
{
  const bUnitDef *unit = NULL;
 
  /* See which units the new value has. */
  for (unit = usys->units; unit->name; unit++) {
    if (unit_find(str, unit)) {
      break;
    }
  }
  /* Else, try to infer the default unit from the previous string. */
  if (str_prev && (unit == NULL || unit->name == NULL)) {
    /* See which units the original value had. */
    for (unit = usys->units; unit->name; unit++) {
      if (unit_find(str_prev, unit)) {
        break;
      }
    }
  }
  /* Else, fall back to default unit. */
  if (unit == NULL || unit->name == NULL) {
    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;
    }
 
    for (int i = 0; i < usys->length; i++) {
      if (unit_find(str, usys->units + i)) {
        return true;
      }
    }
  }
  return false;
}
 
double BKE_unit_apply_preferred_unit(const struct 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 == NULL) ? BKE_unit_base_scalar(units.system, type) : unit->scalar;
  const double bias = (unit == NULL) ? 0.0 : unit->bias; /* Base unit shouldn't have a bias. */
 
  return value * scalar + bias;
}
 
bool BKE_unit_replace_string(
    char *str, int len_max, 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, len_max);
 
  /* 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 (BLI_snprintf(str_tmp, sizeof(str_tmp), "(%s)*%.9g", str, default_unit->scalar) <
      sizeof(str_tmp)) {
    strncpy(str, str_tmp, len_max);
  }
  else {
    /* BLI_snprintf would not fit into str_tmp, cant do much in this case.
     * Check for this because otherwise BKE_unit_replace_string could call its self forever. */
    return changed;
  }
 
  for (const bUnitDef *unit = usys->units; unit->name; unit++) {
    /* In case there are multiple instances. */
    while (unit_replace(str, len_max, 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) {
      const bUnitCollection *usys_iter = unit_get_system(system_iter, type);
      if (usys_iter) {
        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, len_max - 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;
    const char *ch = str;
 
    while ((str_found = strchr(str_found, SEP_CHR))) {
      bool op_found = false;
 
      /* Any operators after this? */
      for (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;
}
 
/* 45µm --> 45um */
void BKE_unit_name_to_alt(char *str, int len_max, 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; unit++) {
    if (len_max > 0 && unit->name_alt) {
      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) {
        int offset = (int)(found - orig_str);
        int len_name = 0;
 
        /* Copy everything before the unit. */
        offset = (offset < len_max ? offset : len_max);
        strncpy(str, orig_str, offset);
 
        str += offset;
        orig_str += offset + strlen(unit->name_short);
        len_max -= offset;
 
        /* Print the alt_name. */
        if (unit->name_alt) {
          len_name = BLI_strncpy_rlen(str, unit->name_alt, len_max);
        }
        else {
          len_name = 0;
        }
 
        len_name = (len_name < len_max ? len_name : len_max);
        str += len_name;
        len_max -= len_name;
      }
    }
  }
 
  /* Finally copy the rest of the string. */
  strncpy(str, orig_str, len_max);
}
 
double BKE_unit_closest_scalar(double value, int system, int type)
{
  const bUnitCollection *usys = unit_get_system(system, type);
 
  if (usys == NULL) {
    return -1;
  }
 
  const bUnitDef *unit = unit_best_fit(value, usys, NULL, 1);
  if (unit == NULL) {
    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 == NULL) {
    *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)
{
  return ((bUnitCollection *)usys_pt)->units[index].name;
}
const char *BKE_unit_display_name_get(const void *usys_pt, int index)
{
  return ((bUnitCollection *)usys_pt)->units[index].name_display;
}
const char *BKE_unit_identifier_get(const void *usys_pt, int index)
{
  const bUnitDef *unit = ((const bUnitCollection *)usys_pt)->units + index;
  if (unit->identifier == NULL) {
    BLI_assert(false && "identifier for this unit is not specified yet");
  }
  return unit->identifier;
}
 
double BKE_unit_scalar_get(const void *usys_pt, int index)
{
  return ((bUnitCollection *)usys_pt)->units[index].scalar;
}
 
bool BKE_unit_is_suppressed(const void *usys_pt, int index)
{
  return (((bUnitCollection *)usys_pt)->units[index].flag & B_UNIT_DEF_SUPPRESS) != 0;
}