{"id":"https://openalex.org/W2115545428","doi":"https://doi.org/10.1109/arith.2005.5","title":"A Fast-Start Method for Computing the Inverse Tangent","display_name":"A Fast-Start Method for Computing the Inverse Tangent","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2115545428","doi":"https://doi.org/10.1109/arith.2005.5","mag":"2115545428"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2005.5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058871871","display_name":"Peter Markstein","orcid":null},"institutions":[{"id":"https://openalex.org/I1324840837","display_name":"Hewlett-Packard (United States)","ror":"https://ror.org/059rn9488","country_code":"US","type":"company","lineage":["https://openalex.org/I1324840837"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. Markstein","raw_affiliation_strings":["Hewlett\u2013Packard Laboratories, Palo Alto, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Hewlett\u2013Packard Laboratories, Palo Alto, CA, USA#TAB#","institution_ids":["https://openalex.org/I1324840837"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058871871"],"corresponding_institution_ids":["https://openalex.org/I1324840837"],"apc_list":null,"apc_paid":null,"fwci":0.301,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":2,"citation_normalized_percentile":{"value":0.441482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":68,"max":71},"biblio":{"volume":null,"issue":null,"first_page":"266","last_page":"271"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9865,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9818,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.7491842},{"id":"https://openalex.org/keywords/inverse-trigonometric-functions","display_name":"Inverse trigonometric functions","score":0.5287879},{"id":"https://openalex.org/keywords/double-precision-floating-point-format","display_name":"Double-precision floating-point format","score":0.522812},{"id":"https://openalex.org/keywords/microcode","display_name":"Microcode","score":0.44946203}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7596686},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.7491842},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.71137846},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6025591},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5373776},{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.5287879},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.52448744},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.522812},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.4970546},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45556378},{"id":"https://openalex.org/C22174128","wikidata":"https://www.wikidata.org/wiki/Q175869","display_name":"Microcode","level":2,"score":0.44946203},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4369585},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4167199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40947837},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3541909},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.21074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.193255},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18742082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2005.5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W1535645767","https://openalex.org/W1594496874","https://openalex.org/W1846048981","https://openalex.org/W1981663184","https://openalex.org/W2041998527","https://openalex.org/W2318946948","https://openalex.org/W2752853835","https://openalex.org/W4232621341","https://openalex.org/W64390532"],"related_works":["https://openalex.org/W4297795876","https://openalex.org/W3215589575","https://openalex.org/W3150959508","https://openalex.org/W2773283032","https://openalex.org/W2336476964","https://openalex.org/W2239119680","https://openalex.org/W2012407419","https://openalex.org/W1973800584","https://openalex.org/W16425634","https://openalex.org/W1571090276"],"abstract_inverted_index":{"In":[0],"a":[1,54,66],"search":[2],"for":[3,53,65],"an":[4,19],"algorithm":[5],"to":[6,35,40],"compute":[7],"atan(x)":[8],"which":[9],"has":[10],"both":[11],"low":[12],"latency":[13,48],"and":[14,57],"few":[15,58],"floating":[16],"point":[17],"instructions,":[18],"interesting":[20],"variant":[21],"of":[22,32],"familiar":[23],"trigonometry":[24],"formulas":[25],"was":[26],"discovered":[27],"that":[28],"allow":[29],"the":[30,50,62],"start":[31],"argument":[33],"reduction":[34],"commence":[36],"before":[37],"any":[38],"references":[39],"tables":[41],"stored":[42],"in":[43],"memory":[44],"are":[45],"needed.":[46],"Low":[47],"makes":[49],"method":[51,63],"suitable":[52],"closed":[55],"subroutine,":[56],"floating-point":[59],"operations":[60],"make":[61],"advantageous":[64],"software-pipelined":[67],"implementation.":[68]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2115545428","counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-10T15:48:04.340192","created_date":"2016-06-24"}