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  1. 'use strict';
  2. function round(number,precision=3) {
  3. return Math.round(number*Math.pow(10,precision)) / Math.pow(10,precision);
  4. }
  5. function numberRough(value,suffix="") {
  6. var scale = Math.floor(Math.log10(value));
  7. switch(scale) {
  8. case 0: return "a single";
  9. case 1: return "dozens " + suffix;
  10. case 2: return "hundreds " + suffix;
  11. default:
  12. let prefix = "";
  13. if (scale % 3 == 1)
  14. prefix = "tens of ";
  15. else if (scale % 3 == 2)
  16. prefix = "hundreds of ";
  17. let order = Math.floor(scale/3);
  18. switch(order) {
  19. case 1: return prefix + "thousands " + suffix;
  20. case 2: return prefix + "millions " + suffix;
  21. case 3: return prefix + "billions " + suffix;
  22. case 4: return prefix + "trillions " + suffix;
  23. case 5: return "uncountably many";
  24. }
  25. }
  26. }
  27. function number(value, type="full", precision=3) {
  28. var val = parseFloat(value);
  29. switch(type) {
  30. case "full": return val.toString();
  31. case "scientific": return val.toExponential(precision).toString();
  32. case "words": return number_words_repeated(val);
  33. case "prefix": return number_prefix(val);
  34. }
  35. }
  36. function number_words(value) {
  37. var scale = Math.floor(Math.log(value) / Math.log(1000));
  38. if (scale < 0) {
  39. return value.toString();
  40. }
  41. switch(scale) {
  42. case 0: return value.toString();
  43. case 1: return Math.round(value / 1e3).toString() + " thousand";
  44. case 2: return Math.round(value / 1e6).toString() + " million";
  45. case 3: return Math.round(value / 1e9).toString() + " billion";
  46. case 4: return Math.round(value / 1e12).toString() + " trillion";
  47. case 5: return Math.round(value / 1e15).toString() + " quadrillion";
  48. case 6: return Math.round(value / 1e18).toString() + " quintillion";
  49. case 7: return Math.round(value / 1e21).toString() + " sextillion";
  50. case 8: return Math.round(value / 1e24).toString() + " septillion";
  51. case 9: return Math.round(value / 1e27).toString() + " octillion";
  52. case 10: return Math.round(value / 1e30).toString() + " nonillion";
  53. case 11: return Math.round(value / 1e33).toString() + " decillion";
  54. case 12: return Math.round(value / 1e36).toString() + " undecillion";
  55. case 13: return Math.round(value / 1e39).toString() + " duodecillion";
  56. case 14: return Math.round(value / 1e42).toString() + " tredecillion";
  57. case 15: return Math.round(value / 1e45).toString() + " quattuordecillion";
  58. case 16: return Math.round(value / 1e48).toString() + " quindecillion";
  59. case 17: return Math.round(value / 1e51).toString() + " sexdecillion";
  60. case 18: return Math.round(value / 1e54).toString() + " septendecillion";
  61. case 19: return Math.round(value / 1e57).toString() + " octodecillion";
  62. case 20: return Math.round(value / 1e60).toString() + " novemdecillion";
  63. default: return Math.round(value / 1e63).toString() + " vigintillion";
  64. }
  65. }
  66. function number_words_repeated(value) {
  67. if (value == Infinity)
  68. return "a lot of";
  69. var scale = Math.floor(Math.log(value) / Math.log(1000));
  70. if (scale < 0)
  71. return value.toString();
  72. switch(scale) {
  73. case 0: return value.toString();
  74. case 1: return Math.round(value / 1e3).toString() + " thousand";
  75. case 2: return Math.round(value / 1e6).toString() + " million";
  76. case 3: return Math.round(value / 1e9).toString() + " billion";
  77. case 4: return Math.round(value / 1e12).toString() + " trillion";
  78. case 5: return Math.round(value / 1e15).toString() + " quadrillion";
  79. case 6: return Math.round(value / 1e18).toString() + " quintillion";
  80. default: return number_words_repeated(value / 1e18) + " quintillion";
  81. }
  82. }
  83. function number_prefix(value) {
  84. var scale = Math.floor(Math.log(value) / Math.log(1000));
  85. if (scale < 0)
  86. return value.toString();
  87. switch(scale) {
  88. case 0: return value.toString();
  89. case 1: return Math.round(value / 1e3).toString() + "K";
  90. case 2: return Math.round(value / 1e6).toString() + "M";
  91. case 3: return Math.round(value / 1e9).toString() + "G";
  92. case 4: return Math.round(value / 1e12).toString() + "T";
  93. case 5: return Math.round(value / 1e15).toString() + "P";
  94. case 6: return Math.round(value / 1e18).toString() + "E";
  95. case 7: return Math.round(value / 1e21).toString() + "Z";
  96. default: return Math.round(value / 1e24).toString() + "Y";
  97. }
  98. }
  99. function mass(kg, type="metric", singular=false) {
  100. switch(type) {
  101. case "metric": return metricMass(kg, singular);
  102. case "customary": return customaryMass(kg, singular);
  103. case "approx": return approxMass(kg, singular);
  104. }
  105. }
  106. function length(m, type="metric", singular=false) {
  107. switch(type) {
  108. case "metric": return metricLength(m, singular);
  109. case "customary": return customaryLength(m, singular);
  110. case "approx": return approxLength(m, singular);
  111. }
  112. }
  113. function volume(m3, type="metric", singular=false) {
  114. switch(type) {
  115. case "metric": return metricVolume(m3, singular);
  116. case "customary": return customaryVolume(m3, singular);
  117. case "approx": return approxVolume(m3, singular);
  118. }
  119. }
  120. function metricMass(kg, singular=false) {
  121. if (kg < 1/1000) {
  122. let mass = round(kg * 1e6,0);
  123. return mass + (singular || mass == 1 ? " milligram" : " milligrams");
  124. } else if (kg < 1) {
  125. let mass = round(kg * 1000,0);
  126. return mass + (singular || mass == 1 ? " gram" : " grams");
  127. } else if (kg < 5000) {
  128. let mass = round(kg,0);
  129. return mass + (singular || mass == 1 ? " kilogram" : " kilograms");
  130. } else if (kg < 5000000) {
  131. let mass = round(kg / 1000,1);
  132. return mass + (singular || mass == 1 ? " metric ton" : " metric tons");
  133. } else if (kg < 5000000000) {
  134. let mass = round(kg / 1000000,1);
  135. return mass + (singular || mass == 1 ? " kiloton" : " kilotons");
  136. } else if (kg < 5000000000000) {
  137. let mass = round(kg / 1000000000,1);
  138. return mass + (singular || mass == 1 ? " megaton" : " megatons");
  139. } else {
  140. let mass = round(kg / 1000000000000,1);
  141. return mass + (singular || mass == 1 ? " gigaton" : " gigatons");
  142. }
  143. }
  144. function customaryMass(kg, singular=false) {
  145. let lbs = kg * 2.2;
  146. if (lbs < 1) {
  147. let mass = round(lbs * 16,0);
  148. return mass + (singular || mass == 1 ? " ounce" : " ounces");
  149. } else if (lbs < 2000) {
  150. let mass = round(lbs,0);
  151. return mass + (singular || mass == 1 ? " pound" : " pounds");
  152. } else {
  153. let mass = round(lbs / 2000,1);
  154. return mass + (singular || mass == 1 ? " ton" : " tons");
  155. }
  156. }
  157. function approxMass(kg, singular=false) {
  158. if (kg < 10000) {
  159. let mass = round(kg/1000,2);
  160. return (singular || mass == 1 ? "a car" : mass + " cars");
  161. } else if (kg < 100000) {
  162. let mass = round(kg/6000,2);
  163. return (singular || mass == 1 ? "an elephant" : mass + " elephants");
  164. } else if (kg < 1000000000) {
  165. let mass = round(kg/54431.1,2);
  166. return (singular || mass == 1 ? "a tank" : mass + " tanks");
  167. } else if (kg < 1e21) {
  168. let mass = round(kg/1.01605e8,2);
  169. return (singular || mass == 1 ? "an aircraft carrier" : mass + " aircraft carriers");
  170. } else {
  171. let mass = round(kg/5.972e24,4);
  172. return (singular || mass == 1 ? "the Earth" : mass + " Earths");
  173. }
  174. }
  175. function metricLength(m, singular=false) {
  176. if (m < 1/100) {
  177. let length = round(m * 1000,2);
  178. return length + (singular || length == 1 ? " millimeter" : " millimeters");
  179. } else if (m < 1) {
  180. let length = round(m * 100,0);
  181. return length + (singular || length == 1 ? " centimeter" : " centimeters");
  182. } else if (m < 500) {
  183. let length = round(m,2);
  184. return length + (singular || length == 1 ? " meter" : " meters");
  185. } else {
  186. let length = round(m / 1000,1);
  187. return length + (singular || length == 1 ? " kilometer" : " kilometers");
  188. }
  189. }
  190. function customaryLength(m, singular=false) {
  191. let ft = m * 3.28084;
  192. if (ft < 1) {
  193. let length = round(ft * 12,0);
  194. return length + (singular || length == 1 ? " inch" : " inches");
  195. } else if (ft < 5280) {
  196. let end = customaryLength((ft - Math.floor(ft))/3.28084, singular);
  197. let length = Math.floor(ft);
  198. return length + (singular || length == 1 ? " foot" : " feet") + " " + end;
  199. } else {
  200. let length = round(ft/5280,1);
  201. return length + (singular || length == 1 ? " mile" : " miles");
  202. }
  203. }
  204. function approxLength(m, singular=false) {
  205. if (m < 1000) {
  206. let length = round(m/49,1);
  207. return length + (singular || length == 1 ? " football field" : " football fields");
  208. } else if (m < 5000000) {
  209. let length = round(m/449,1);
  210. return length + (singular || length == 1 ? " Empire State Building" : " Empire State Buildings");
  211. } else if (m < 3474574*2) {
  212. let length = round(m/3474574,1);
  213. return length + (singular || length == 1 ? " moon" : " moons");
  214. } else if (m < 12.742e6*100) {
  215. let length = round(m/12.742e6,1);
  216. return length + (singular || length == 1 ? " earth" : " earths");
  217. } else if (m < 149.6e12) {
  218. let length = round(m/149.6e9,1);
  219. return length + (singular || length == 1 ? " AU" : " AUs");
  220. } else if (m < 9.4607e22) {
  221. let length = round(m/9.4607e15,4);
  222. return length + (singular || length == 1 ? " light year" : " light years");
  223. } else if (m < 5e26) {
  224. let length = round(m/9.4607e21,3);
  225. return length + (singular || length == 1 ? " galaxy" : " galaxies");
  226. } else {
  227. let length = round(m/4.40e26,3);
  228. return length + (singular || length == 1 ? " universe" : " universes");
  229. }
  230. }
  231. function metricVolume(m3, singular=false) {
  232. if (m3 < 1/1000) {
  233. let volume = round(m3*1e6, 0);
  234. return volume + (singular || volume == 1 ? " milliliter" : " milliliters");
  235. } else if (m3 < 1) {
  236. let volume = round(m3*1000, 1);
  237. return volume + (singular || volume == 1 ? " liter" : " liters");
  238. } else if (m3 < 1000000) {
  239. let volume = round(m3, 0);
  240. return volume + (singular || volume == 1 ? " cubic meter" : " cubic meters");
  241. } else if (m3 < 1e12){
  242. let volume = round(m3/1e9, 6);
  243. return volume + (singular || volume == 1 ? " cubic kilometer" : " cubic kilometers");
  244. } else {
  245. let volume = round(m3/1e9, 0);
  246. return volume + (singular || volume == 1 ? " cubic kilometer" : " cubic kilometers");
  247. }
  248. }
  249. function customaryVolume(m3, singular=false) {
  250. let gallons = m3 * 264.172;
  251. if (gallons < 1/16) {
  252. let volume = round(gallons*128,0);
  253. return volume + (singular || volume == 1 ? " fluid ounce" : " fluid ounces");
  254. } else if (gallons < 1/4) {
  255. let volume = round(gallons*16,1);
  256. return volume + (singular || volume == 1 ? " cup" : " cups");
  257. } else if (gallons < 1/2) {
  258. let volume = round(gallons*8,1);
  259. return volume + (singular || volume == 1 ? " pint" : " pints");
  260. } else if (gallons < 1) {
  261. let volume = round(gallons*4,1);
  262. return volume + (singular || volume == 1 ? " quart" : " quarts");
  263. } else if (gallons < 100) {
  264. let volume = round(gallons,1);
  265. return volume + (singular || volume == 1 ? " gallon" : " gallons");
  266. } else {
  267. let volume = round(gallons,0);
  268. return volume + (singular || volume == 1 ? " gallon" : " gallons");
  269. }
  270. }
  271. function approxVolume(m3, singular=false) {
  272. if (m3 < 1/10000) {
  273. let volume = round(m3*1e6,0);
  274. return (singular || volume == 1 ? "a shot" : volume + " shots");
  275. } else if (m3 < 1) {
  276. let volume = round(m3*2000,0);
  277. return (singular || volume == 1 ? "a glass" : volume + " glasses");
  278. } else if (m3 < 10) {
  279. let volume = round(m3*2.64,1);
  280. return(singular || volume == 1 ? "a bathtub" : volume + " bathtubs");
  281. } else if (m3 < 1e9) {
  282. let volume = round(m3/1000,2);
  283. return (singular || volume == 1 ? "an Olympic swimming pool" : volume + " Olympic swimming pools");
  284. } else if (m3 < 1e15) {
  285. let volume = round(m3/1.8919e10,3);
  286. return (singular || volume == 1 ? "a Great Salt Lake" : volume + " Great Salt Lakes");
  287. } else {
  288. let volume = round(m3/3.547e17, 3);
  289. return (singular || volume == 1 ? "an ocean" : volume + " oceans");
  290. }
  291. }