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asin.c
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asin.c
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/*++
toro C Library
https://github.com/KilianKegel/toro-C-Library#toro-c-library-formerly-known-as-torito-c-library
Copyright (c) 2017-2024, Kilian Kegel. All rights reserved.
SPDX-License-Identifier: GNU General Public License v3.0
Module Name:
sin.c
Abstract:
Implementation of the Standard C function.
Calculates the arcsine of a floating-point value.
Author:
Kilian Kegel
--*/
extern double __cdecl sqrt(double d);
extern double __cdecl atan(double d);
/**
Synopsis
#include <math.h>
double sin(double x);
Description
https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/asin-asinf-asinl
Parameters
https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/asin-asinf-asinl#parameters
Returns
https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/asin-asinf-asinl#return-value
/ x \
arcsin(x) = arctan |----------------|
\ √(1 - x²) /
**/
double __cdecl asin(double d)
{
double dRet = 0.0;
double x2 = d * d;
double oneminx2 = 1 - x2;
double rootoneminx2 = sqrt(oneminx2);
double xdivrootoneminx2 = d / rootoneminx2;
dRet = atan(xdivrootoneminx2);
return dRet;
}