Fortran Math Special Functions Library

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IMSL® Fortran Math Special Functions Library Version 2021.0 Copyright 1970-2021 Rogue Wave Software, Inc., a Perforce company. Visual Numerics, IMSL, and PV-WAVE are registered trademarks of Rogue Wave Software, Inc., a Perforce company. IMPORTANT NOTICE: Information contained in this documentation is subject to change without notice. Use of this docu- ment is subject to the terms and conditions of a Rogue Wave Software License Agreement, including, without limitation, the Limited Warranty and Limitation of Liability. ACKNOWLEDGMENTS Use of the Documentation and implementation of any of its processes or techniques are the sole responsibility of the client, and Perforce Soft- ware, Inc., assumes no responsibility and will not be liable for any errors, omissions, damage, or loss that might result from any use or misuse of the Documentation PERFORCE SOFTWARE, INC. MAKES NO REPRESENTATION ABOUT THE SUITABILITY OF THE DOCUMENTATION. THE DOCU- MENTATION IS PROVIDED "AS IS" WITHOUT WARRANTY OF ANY KIND. PERFORCE SOFTWARE, INC. HEREBY DISCLAIMS ALL WARRANTIES AND CONDITIONS WITH REGARD TO THE DOCUMENTATION, WHETHER EXPRESS, IMPLIED, STATUTORY, OR OTHERWISE, INCLUDING WITHOUT LIMITATION ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PAR- TICULAR PURPOSE, OR NONINFRINGEMENT. IN NO EVENT SHALL PERFORCE SOFTWARE, INC. BE LIABLE, WHETHER IN CONTRACT, TORT, OR OTHERWISE, FOR ANY SPECIAL, CONSEQUENTIAL, INDIRECT, PUNITIVE, OR EXEMPLARY DAMAGES IN CONNECTION WITH THE USE OF THE DOCUMENTATION. The Documentation is subject to change at any time without notice. IMSL https://www.imsl.com/ Contents Introduction The IMSL Fortran Numerical Libraries . 1 Getting Started . 2 Finding the Right Routine . 3 Organization of the Documentation . 4 Naming Conventions . 6 Using Library Subprograms . 8 Programming Conventions . 9 Module Usage . 10 Programming Tips. 11 Optional Subprogram Arguments . 12 Error Handling . 13 Printing Results . 14 Elementary Functions Routines . 15 Usage Notes. 16 CARG . 17 CBRT . 19 EXPRL. 21 LOG10 . .23 ALNREL . .25 Trigonometric and Hyperbolic Functions Routines . .28 Usage Notes. .29 TAN . .30 COT . .32 SINDG . .35 COSDG . .37 ASIN . 39 ACOS . .41 ATAN. 43 ATAN2 . 45 SINH . 47 COSH . 49 TANH . .51 ASINH . 53 ACOSH . 55 ATANH . 57 Exponential Integrals and Related Functions Routines. 60 Usage Notes . .61 EI . 62 E1 . 64 ENE . 66 ALI . 68 SI . .71 CI . 73 CIN . 75 SHI . 77 CHI . 79 CINH . .81 Gamma Function and Related Functions Routines. 83 Usage Notes . 84 FAC . 85 BINOM . 87 GAMMA . 89 GAMR . 92 ALNGAM . 94 ALGAMS . 97 GAMI. ..

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Math/Library Special Functions Quick Tips on How to Use This Online Manual
Fortran Subroutines for Mathematical Applications Math/Library Special Functions Quick Tips on How to Use this Online Manual Click to display only the page. Click to go back to the previous page from which you jumped. Click to display both bookmark and the page. Click to go to the next page. Double-click to jump to a topic Click to go to the last page. when the bookmarks are displayed. Click to jump to a topic when the Click to go back to the previous view and bookmarks are displayed. page from which you jumped. Click to display both thumbnails Click to return to the next view. and the page. Click and use to drag the page in vertical Click to view the page at 100% zoom. direction and to select items on the page. Click and drag to page to magnify Click to fit the entire page within the the view. window. Click and drag to page to reduce the view. Click to fit the page width inside the window. Click and drag to the page to select text. Click to find part of a word, a complete word, or multiple words in a active document. Click to go to the first page. Printing an online file: Select Print from the File menu to print an online file. The dialog box that opens allows you to print full text, range of pages, or selection. Important Note: The last blank page of each chapter (appearing in the hard copy documentation) has been deleted from the on-line documentation causing a skip in page numbering before the first page of the next chapter, for instance, Chapter 1 in the on-line documentation ends on page 317 and Chapter 2 begins on page 319.
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Title stata.com Trigonometric functions Contents Functions Reference Also see Contents acos(x) the radian value of the arccosine of x acosh(x) the inverse hyperbolic cosine of x asin(x) the radian value of the arcsine of x asinh(x) the inverse hyperbolic sine of x atan(x) the radian value of the arctangent of x atan2(y, x) the radian value of the arctangent of y=x, where the signs of the parameters y and x are used to determine the quadrant of the answer atanh(x) the inverse hyperbolic tangent of x cos(x) the cosine of x, where x is in radians cosh(x) the hyperbolic cosine of x sin(x) the sine of x, where x is in radians sinh(x) the hyperbolic sine of x tan(x) the tangent of x, where x is in radians tanh(x) the hyperbolic tangent of x Functions acos(x) Description: the radian value of the arccosine of x Domain: −1 to 1 Range: 0 to π acosh(x) Description: the inverse hyperbolic cosinep of x acosh(x) = ln(x + x2 − 1) Domain: 1 to 8.9e+307 Range: 0 to 709.77 asin(x) Description: the radian value of the arcsine of x Domain: −1 to 1 Range: −π=2 to π=2 asinh(x) Description: the inverse hyperbolic sinep of x asinh(x) = ln(x + x2 + 1) Domain: −8.9e+307 to 8.9e+307 Range: −709.77 to 709.77 1 2 Trigonometric functions atan(x) Description: the radian value of the arctangent of x Domain: −8e+307 to 8e+307 Range: −π=2 to π=2 atan2(y, x) Description: the radian value of the arctangent of y=x, where the signs of the parameters y and x are used to determine the quadrant of the answer Domain y: −8e+307 to 8e+307 Domain x: −8e+307 to 8e+307 Range: −π to
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