CA950120A - Generation of trigonometrical and other functions - Google Patents
Generation of trigonometrical and other functionsInfo
- Publication number
- CA950120A CA950120A CA118,389A CA118389A CA950120A CA 950120 A CA950120 A CA 950120A CA 118389 A CA118389 A CA 118389A CA 950120 A CA950120 A CA 950120A
- Authority
- CA
- Canada
- Prior art keywords
- trigonometrical
- functions
- generation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/17—Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- General Engineering & Computer Science (AREA)
- Data Mining & Analysis (AREA)
- Mathematical Physics (AREA)
- Computing Systems (AREA)
- Algebra (AREA)
- Databases & Information Systems (AREA)
- Software Systems (AREA)
- Complex Calculations (AREA)
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GB3490070A GB1363073A (en) | 1970-07-17 | 1970-07-17 | Generation of trigonometrical and other functions by interpolation between point values |
Publications (1)
Publication Number | Publication Date |
---|---|
CA950120A true CA950120A (en) | 1974-06-25 |
Family
ID=10371300
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CA118,389A Expired CA950120A (en) | 1970-07-17 | 1971-07-16 | Generation of trigonometrical and other functions |
Country Status (8)
Country | Link |
---|---|
US (1) | US3789203A (it) |
JP (1) | JPS549455B1 (it) |
CA (1) | CA950120A (it) |
DE (1) | DE2135590C3 (it) |
FR (1) | FR2099446B1 (it) |
GB (1) | GB1363073A (it) |
IT (1) | IT940163B (it) |
NL (1) | NL7109799A (it) |
Families Citing this family (53)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3967100A (en) * | 1973-11-12 | 1976-06-29 | Naonobu Shimomura | Digital function generator utilizing cascade accumulation |
JPS5434579B2 (it) * | 1974-06-25 | 1979-10-27 | ||
US3943346A (en) * | 1974-07-22 | 1976-03-09 | Rca Corporation | Digital interpolator for reducing time quantization errors |
US3996456A (en) * | 1975-02-13 | 1976-12-07 | Armco Steel Corporation | Recursive interpolation |
GB1536845A (en) * | 1975-02-26 | 1978-12-20 | Bell & Howell Ltd | Generation of mathematical functions |
NL7607956A (nl) * | 1976-07-19 | 1978-01-23 | Technicon Instr | Werkwijze en inrichting voor het regenereren van een gedegenereerde kurve en inrichting voor het analyseren van een reeks fluidummon- sters, voorzien van deze inrichting. |
US4313173A (en) * | 1980-06-10 | 1982-01-26 | Bell Telephone Laboratories, Incorporated | Linear interpolator |
US4511882A (en) * | 1982-07-02 | 1985-04-16 | The Babcock & Wilcox Company | Function generator |
JPS59122040A (ja) * | 1982-12-27 | 1984-07-14 | Sony Corp | デイジタル信号処理回路 |
US4553260A (en) * | 1983-03-18 | 1985-11-12 | Honeywell Inc. | Means and method of processing optical image edge data |
US4763293A (en) * | 1984-02-27 | 1988-08-09 | Canon Kabushiki Kaisha | Data processing device for interpolation |
US4700319A (en) * | 1985-06-06 | 1987-10-13 | The United States Of America As Represented By The Secretary Of The Air Force | Arithmetic pipeline for image processing |
US4894794A (en) * | 1985-10-15 | 1990-01-16 | Polaroid Corporation | System for providing continous linear interpolation |
CA1270953C (en) * | 1986-05-23 | 1990-06-26 | CURVE APPROXIMATION METHOD | |
US4823298A (en) * | 1987-05-11 | 1989-04-18 | Rca Licensing Corporation | Circuitry for approximating the control signal for a BTSC spectral expander |
FR2622320B1 (fr) * | 1987-10-27 | 1990-11-30 | Thomson Semiconducteurs | Operateur d'interpolation lineaire |
USRE38427E1 (en) * | 1987-10-27 | 2004-02-10 | Stmicroelectronics S.A. | Linear interpolation operator |
JPH0664089B2 (ja) * | 1990-09-07 | 1994-08-22 | 菊水電子工業株式会社 | サンプリング信号処理装置 |
GB9108467D0 (en) * | 1991-04-19 | 1991-06-05 | British Aerospace | Waveform generation |
JP3082169B2 (ja) * | 1991-11-20 | 2000-08-28 | インターナショナル・ビジネス・マシーンズ・コーポレ−ション | データ処理システム及びその実行方法 |
US5739820A (en) * | 1992-11-19 | 1998-04-14 | Apple Computer Inc. | Method and apparatus for specular reflection shading of computer graphic images |
JPH06180691A (ja) * | 1992-12-11 | 1994-06-28 | Fujitsu Ltd | 適応的入出力装置 |
US5305248A (en) * | 1993-04-23 | 1994-04-19 | International Business Machines Corporation | Fast IEEE double precision reciprocals and square roots |
FR2705155A1 (fr) * | 1993-05-12 | 1994-11-18 | Philips Laboratoire Electroniq | Dispositif et méthode pour générer une fonction d'approximation. |
GB9321365D0 (en) * | 1993-10-15 | 1993-12-08 | British Aerospace | Waveform processing |
US5379241A (en) * | 1993-12-23 | 1995-01-03 | Genesis Microchip, Inc. | Method and apparatus for quadratic interpolation |
DE4406300C2 (de) * | 1994-02-26 | 1997-10-30 | Itt Ind Gmbh Deutsche | Lineares Interpolationsverfahren |
JPH08147357A (ja) * | 1994-11-22 | 1996-06-07 | Nec Yamagata Ltd | 製造装置の簡易モデリング方法 |
US5812983A (en) * | 1995-08-03 | 1998-09-22 | Kumagai; Yasuo | Computed medical file and chart system |
JPH09266463A (ja) * | 1996-03-28 | 1997-10-07 | Mitsubishi Electric Corp | データ補間回路およびデータ信号供給回路 |
US5751617A (en) * | 1996-04-22 | 1998-05-12 | Samsung Electronics Co., Ltd. | Calculating the average of two integer numbers rounded away from zero in a single instruction cycle |
US6007232A (en) * | 1996-11-14 | 1999-12-28 | Samsung Electronics Co., Ltd. | Calculating the average of two integer numbers rounded towards zero in a single instruction cycle |
US5917739A (en) * | 1996-11-14 | 1999-06-29 | Samsung Electronics Co., Ltd. | Calculating the average of four integer numbers rounded towards zero in a single instruction cycle |
US6173271B1 (en) | 1997-11-26 | 2001-01-09 | California Institute Of Technology | Television advertising automated billing system |
US6073151A (en) * | 1998-06-29 | 2000-06-06 | Motorola, Inc. | Bit-serial linear interpolator with sliced output |
US20020009394A1 (en) | 1999-04-02 | 2002-01-24 | Hubert Koster | Automated process line |
US6539128B1 (en) | 1999-04-16 | 2003-03-25 | Macronix International Co., Ltd. | Method and apparatus for interpolation |
EP1183646A1 (de) | 1999-04-22 | 2002-03-06 | Infineon Technologies AG | Verfahren und vorrichtung zum ermitteln von interpolierten zwischenwerten eines abgetasteten signals |
US7917301B1 (en) | 2000-09-19 | 2011-03-29 | Sequenom, Inc. | Method and device for identifying a biological sample |
US7076516B2 (en) * | 2000-09-19 | 2006-07-11 | California Institute Of Technology | Efficient method of identifying non-solution or non-optimal regions of the domain of a function |
US7222145B2 (en) * | 2001-12-07 | 2007-05-22 | Sun Microsystems, Inc. | Method and apparatus for solving systems of equations in fixed-point form |
TWI234746B (en) * | 2002-04-01 | 2005-06-21 | Mstar Semiconductor Inc | Scaling method by using symmetrical middle-point slope control |
US20030187893A1 (en) * | 2002-04-01 | 2003-10-02 | Kun-Nan Cheng | Method of data interpolation with bi-switch slope control scaling |
TWI223781B (en) * | 2002-04-01 | 2004-11-11 | Mstar Semiconductor Inc | Scaling method by using dual point slope control |
US20030187613A1 (en) * | 2002-04-01 | 2003-10-02 | Kun-Nan Cheng | Method of data interpolation using midpoint slope control scaling |
DE10360168A1 (de) * | 2003-12-20 | 2005-07-21 | Rexroth Indramat Gmbh | Verfahren und Vorrichtung zur Korrektur der Lageabweichung eines Transportgutes |
JP2010182382A (ja) * | 2009-02-06 | 2010-08-19 | Toshiba Corp | デジタルオーディオ信号補間装置、及びデジタルオーディオ信号補間方法 |
JP6221323B2 (ja) | 2013-04-22 | 2017-11-01 | カシオ計算機株式会社 | グラフ表示装置およびその制御プログラム |
JP6221372B2 (ja) * | 2013-06-11 | 2017-11-01 | カシオ計算機株式会社 | グラフ表示装置、プログラム、およびサーバ装置 |
JP6244901B2 (ja) | 2013-12-27 | 2017-12-13 | カシオ計算機株式会社 | グラフ表示制御装置、電子機器およびプログラム |
JP6318615B2 (ja) | 2013-12-27 | 2018-05-09 | カシオ計算機株式会社 | グラフ表示制御装置、電子機器およびプログラム |
JP6287412B2 (ja) | 2014-03-19 | 2018-03-07 | カシオ計算機株式会社 | 図形描画装置、図形描画方法およびプログラム |
JP6394163B2 (ja) | 2014-08-07 | 2018-09-26 | カシオ計算機株式会社 | グラフ表示装置、グラフ表示方法およびプログラム |
Family Cites Families (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3412240A (en) * | 1963-02-21 | 1968-11-19 | Gen Precision Systems Inc | Linear interpolater |
US3564222A (en) * | 1968-07-01 | 1971-02-16 | Bendix Corp | Digital function generator solving the equation f(x) {32 {0 mx {30 {0 b |
US3684876A (en) * | 1970-03-26 | 1972-08-15 | Evans & Sutherland Computer Co | Vector computing system as for use in a matrix computer |
US3649821A (en) * | 1970-06-15 | 1972-03-14 | Philco Ford Corp | Digital multiple-tone generator |
-
1970
- 1970-07-17 GB GB3490070A patent/GB1363073A/en not_active Expired
-
1971
- 1971-07-15 NL NL7109799A patent/NL7109799A/xx not_active Application Discontinuation
- 1971-07-16 CA CA118,389A patent/CA950120A/en not_active Expired
- 1971-07-16 US US00163360A patent/US3789203A/en not_active Expired - Lifetime
- 1971-07-16 IT IT83659/71A patent/IT940163B/it active
- 1971-07-16 DE DE2135590A patent/DE2135590C3/de not_active Expired
- 1971-07-17 JP JP5348671A patent/JPS549455B1/ja active Pending
- 1971-07-19 FR FR717126328A patent/FR2099446B1/fr not_active Expired
Also Published As
Publication number | Publication date |
---|---|
US3789203A (en) | 1974-01-29 |
AU3132471A (en) | 1973-01-18 |
FR2099446A1 (it) | 1972-03-17 |
DE2135590A1 (de) | 1972-01-20 |
DE2135590C3 (de) | 1978-03-16 |
NL7109799A (it) | 1972-01-19 |
DE2135590B2 (de) | 1977-07-21 |
FR2099446B1 (it) | 1973-06-29 |
JPS549455B1 (it) | 1979-04-24 |
GB1363073A (en) | 1974-08-14 |
IT940163B (it) | 1973-02-10 |
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