2b:null 2c:["$","title",null,{"children":"Sequential Numbers on Demand | Michaël Guitton | Observable"}] 31:T421,range = (start, stop, step = 1) => { if (0 === step || null === step) { throw RangeError(`Step value (${step}) is invalid`); } if (void 0 == start && void 0 != stop) { [start, stop] = [stop, start]; } if (void 0 != start && void 0 == stop) { [start, stop] = step === Math.floor(step) && step < 0 ? start < 0 ? [-step * start - step, 1] : [-step * start + step, -1] : [0, step * start]; } return Object.assign( { start, stop, [Symbol.iterator]() { this.current = this.start; return this; } }, start < stop ? { next() { let value = this.current; this.current += Math.abs(step); return value < this.stop ? { done: false, value } : { done: true }; } } : { next() { let value = this.current; this.current -= Math.abs(step); return value > this.stop ? { done: false, value } : { done: true }; } } ); }32:T4c5,sequence = (start, stop, step = 1) => { if (0 === step || null === step) { throw RangeError(`Step value (${step}) is invalid`); } if (void 0 == start && void 0 != stop) { [start, stop] = [stop, start]; } if (void 0 != start && void 0 == stop) { stop = Math.abs(start) / start; [start, stop] = step === Math.floor(step) && step < 0 ? [stop - step * (start - stop), stop] : [stop, stop + step * (start - stop)]; } return { start, stop, [Symbol.iterator]() { return Object.assign( { current: this.start, end: this.stop }, start < stop ? { next() { let value = this.current; this.current += Math.abs(step); return value <= this.end ? { done: false, value } : { done: true }; } } : { next() { let value = this.current; this.current -= Math.abs(step); return value >= this.end ? { done: false, value } : { done: true }; } } ); } }; }33:[{"id":"c20ed344002b31e549bd04c878a88cd61b3df076761167e94a866e66c8baeb72006f98749c87b40de852f32ae41f96f724b93e484b1424a4ce91be0f5d842c4c","href":"https://static.observableusercontent.com/files/c20ed344002b31e549bd04c878a88cd61b3df076761167e94a866e66c8baeb72006f98749c87b40de852f32ae41f96f724b93e484b1424a4ce91be0f5d842c4c","name":"nick-fewings-8A8_fy7ZXHI-unsplash.jpg","type":"image/jpeg","lastModified":1662863555504.511,"size":889077}] 2f:{"id":"5e30e8aef8686406","slug":"sequential-numbers-on-demand","title":"Sequential Numbers on Demand","thumbnail":"d301deae243615450f90e79c74346fe26f6966c3b1169516737f88a53e4d0ec8","access_level":"public","create_time":"$D2022-08-15T21:48:49.547Z","update_time":"$D2024-06-10T09:00:11.084Z","view_time":null,"first_public_time":"$D2022-09-11T12:45:21.057Z","fork":false,"stars":1,"starred":false,"owner":{"type":"team","id":"4c1622bb5c37477f","login":"galopin","name":"Michaël Guitton","avatar_url":"https://avatars-next.observableusercontent.com/10e2fe999ac95c8686156fd07e96a686520149a4eef18a95f97795b7a7be1e29","tier":"starter_2024"},"version":156,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"950eb34948878085","login":"galopin","name":"Michaël Guitton","avatar_url":"https://avatars-next.observableusercontent.com/b59822ff41962e9448473fadd4a11819ac725b074ad3868aabf532bade0ac00d","tier":null}],"members":[{"type":"individual","id":"950eb34948878085","login":"galopin","name":"Michaël Guitton","avatar_url":"https://avatars-next.observableusercontent.com/b59822ff41962e9448473fadd4a11819ac725b074ad3868aabf532bade0ac00d","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"subscribed":null,"forks":3,"collection":{"id":"ab5d7cf58bbc584c","slug":"utility","title":"Utility","owner":{"id":"4c1622bb5c37477f","login":"galopin","name":"Michaël Guitton"}},"type":"notebook","body":{"title":"Sequential Numbers on Demand","cells":[{"id":0,"value":"# Sequential Numbers on Demand","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":151,"value":"

${Object.assign(await FileAttachment(\"nick-fewings-8A8_fy7ZXHI-unsplash.jpg\").image(), { alt: 'The Beauty in Numbers', style: 'max-width: 1OO%; height: auto', title: 'Photo by Nick Fewings (@jannerboy62) on Unsplash', width: 5472, height: 3648 })}","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":109,"value":"This notebook provides two handy functions which generate lists of sequential numbers on demand. These lists can be iterated over using `for…of` loops and you may even use destructuring assignments to grab all or part of their values.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":103,"value":"🦉 The arguments are not required to be integers. However, the generated sequential numbers will be 100% accurate if all passed arguments are dyadic (or binary) rationals.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":111,"value":"## range(…)","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":81,"value":"`range(start[, stop[, step = 1]])` is a versatile function that generates a list of sequential numbers on demand:\n\n* `start` - The number to start the sequence at. If omitted, the sequence could be be empty.\n* `stop` - Optional. The number to end the sequence at. This value is _exclusive_.\n* `step` - Optional. The amount to increase/decrease each successive number in the sequence. If omitted, the sequence will:\n 1. increase by `1` if `start` < `stop`,\n 2. decrease by `1` otherwise.\n \nIf either `stop` or `start` is omitted, the sequence will produce a number of elements equal to `start` (or `stop`) absolute value and will start at `0`. When `step` is a negative integer, the sequence will end at `0`… ","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":6,"value":"$31","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":12,"value":"[...range()]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":61,"value":"[...range(1)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":19,"value":"[...range(10)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":94,"value":"[...range(10, null, -1)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":42,"value":"[...range(10, void 0, 1 / 2)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":57,"value":"[...range(10, null, -1 / 8)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":70,"value":"[...range(0, 1, 1 / 49)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":121,"value":"Array.from(range(49), (x) => x / 49)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":130,"value":"Array.from(range(11), (x) => 2 ** x)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":136,"value":"Array.from(range(11), (x) => Math.cbrt(2 ** x))","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":25,"value":"// @example\n{\n await visibility();\n for (let i of range(1, 10)) {\n yield Promises.delay(duration, i);\n }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":34,"value":"// @example\n{\n await visibility();\n for (let i of range(9, 0)) {\n yield Promises.delay(duration, i);\n }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":116,"value":"// @example\n{\n let [first, second, ...rest] = range(10, null, -10);\n\n return [first, second, rest];\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":8,"value":"---","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":114,"value":"## sequence(…)","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":78,"value":"`sequence(start[, stop[, step = 1]])` is another versatile function that generates a list of sequential numbers on demand:\n\n* `start` - The number to start the sequence at. If omitted, the sequence could be be empty.\n* `stop` - Optional. The number to end the sequence at. This value is _inclusive_.\n* `step` - Optional. The amount to increase/decrease each successive number in the sequence. If omitted, the sequence will:\n 1. increase by `1` if `start` < `stop`,\n 2. decrease by `1` otherwise.\n \nIf either `stop` or `start` is omitted, the sequence will produce a number of elements equal to `start` (or `stop`) absolute value and will start at `1` — or `-1` if `start` (or `stop`) value is negative. When `step` is a negative integer, the sequence will end at `1` or `-1` depending on whether `start` (or `stop`) value is positive or not…","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":10,"value":"$32","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":14,"value":"[...sequence()]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":22,"value":"[...sequence(1)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":64,"value":"[...sequence(10)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":97,"value":"[...sequence(10, null, -1)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":75,"value":"[...sequence(-10)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":100,"value":"[...sequence(-10, null, -1)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":48,"value":"[...sequence(10, void 0, 1 / 2)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":59,"value":"[...sequence(10, null, -1 / 8)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":72,"value":"[...sequence(0, 1, 1 / 49)]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":132,"value":"Array.from(sequence(0, 10), (x) => 2 ** x)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":139,"value":"Array.from(sequence(0, 10), (x) => Math.cbrt(2 ** x))","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":27,"value":"// @example\n{\n await visibility();\n for (let i of sequence(1, 10)) {\n yield Promises.delay(duration, i);\n }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":37,"value":"// @example\n{\n await visibility();\n for (let i of sequence(10, 1)) {\n yield Promises.delay(duration, i);\n }\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":118,"value":"// @example\n{\n let [first, second, ...rest] = sequence(10, null, -10);\n\n return [first, second, rest];\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":85,"value":"---","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":87,"value":"duration = 1000","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W33","stdlib":"1","titling":"auto"}} 30:"$2f:body"