Implement missing Math Inverse Hyperbolic functions (#3675)

Math.acosh, Math.asinh, Math.acosh

C implementation ported from fdlibm

Part of Issue #3568

JerryScript-DCO-1.0-Signed-off-by: Rafal Walczyna r.walczyna@samsung.com
This commit is contained in:
Rafal Walczyna 2020-04-20 15:41:06 +02:00 committed by GitHub
parent 453da11398
commit 9c7a699d10
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11 changed files with 554 additions and 12 deletions

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@ -525,29 +525,17 @@ ecma_builtin_math_dispatch_routine (uint16_t builtin_routine_id, /**< built-in w
#if ENABLED (JERRY_ES2015)
case ECMA_MATH_OBJECT_ACOSH:
{
#ifdef JERRY_LIBM_MATH_H
return ecma_raise_type_error (ECMA_ERR_MSG ("UNIMPLEMENTED: Math.acosh"));
#else /* !JERRY_LIBM_MATH_H */
x = DOUBLE_TO_ECMA_NUMBER_T (acosh (x));
#endif /* JERRY_LIBM_MATH_H */
break;
}
case ECMA_MATH_OBJECT_ASINH:
{
#ifdef JERRY_LIBM_MATH_H
return ecma_raise_type_error (ECMA_ERR_MSG ("UNIMPLEMENTED: Math.asinh"));
#else /* !JERRY_LIBM_MATH_H */
x = DOUBLE_TO_ECMA_NUMBER_T (asinh (x));
#endif /* JERRY_LIBM_MATH_H */
break;
}
case ECMA_MATH_OBJECT_ATANH:
{
#ifdef JERRY_LIBM_MATH_H
return ecma_raise_type_error (ECMA_ERR_MSG ("UNIMPLEMENTED: Math.atanh"));
#else /* !JERRY_LIBM_MATH_H */
x = DOUBLE_TO_ECMA_NUMBER_T (atanh (x));
#endif /* JERRY_LIBM_MATH_H */
break;
}
case ECMA_MATH_OBJECT_CBRT:

92
jerry-libm/acosh.c Normal file
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@ -0,0 +1,92 @@
/* Copyright JS Foundation and other contributors, http://js.foundation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* This file is based on work under the following copyright and permission
* notice:
*
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
*
* @(#)e_acosh.c 1.3 95/01/18
*/
#include "jerry-libm-internal.h"
/* acosh(x)
* Method :
* Based on
* acosh(x) = log [ x + sqrt(x * x - 1) ]
* we have
* acosh(x) := log(x) + ln2, if x is large; else
* acosh(x) := log(2x - 1 / (sqrt(x * x - 1) + x)), if x > 2; else
* acosh(x) := log1p(t + sqrt(2.0 * t + t * t)); where t = x - 1.
*
* Special cases:
* acosh(x) is NaN with signal if x < 1.
* acosh(NaN) is NaN without signal.
*/
#define one 1.0
#define ln2 6.93147180559945286227e-01 /* 0x3FE62E42, 0xFEFA39EF */
double
acosh (double x)
{
double t;
int hx;
hx = __HI (x);
if (hx < 0x3ff00000)
{
/* x < 1 */
return NAN;
}
else if (hx >= 0x41b00000)
{
/* x > 2**28 */
if (hx >= 0x7ff00000)
{
/* x is inf of NaN */
return x + x;
}
else
{
/* acosh(huge) = log(2x) */
return log (x) + ln2;
}
}
else if (((hx - 0x3ff00000) | __LO (x)) == 0)
{
/* acosh(1) = 0 */
return 0.0;
}
else if (hx > 0x40000000)
{
/* 2**28 > x > 2 */
t = x * x;
return log (2.0 * x - one / (x + sqrt (t - one)));
}
else
{
/* 1 < x < 2 */
t = x - one;
return log1p (t + sqrt (2.0 * t + t * t));
}
} /* acosh */
#undef one
#undef ln2

95
jerry-libm/asinh.c Normal file
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@ -0,0 +1,95 @@
/* Copyright JS Foundation and other contributors, http://js.foundation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* This file is based on work under the following copyright and permission
* notice:
*
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
*
* @(#)s_asinh.c 1.3 95/01/18
*/
#include "jerry-libm-internal.h"
/* asinh(x)
* Method :
* Based on
* asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
* we have
* asinh(x) := x if 1 + x * x = 1,
* := sign(x) * (log(x)+ln2)) for large |x|, else
* := sign(x) * log(2|x| + 1 / (|x| + sqrt(x * x + 1))) if|x| > 2, else
* := sign(x) * log1p(|x| + x^2 / (1 + sqrt(1 + x^2)))
*/
#define one 1.0
#define ln2 6.93147180559945286227e-01 /* 0x3FE62E42, 0xFEFA39EF */
#define huge 1.0e+300
double
asinh (double x)
{
double t, w;
int hx, ix;
hx = __HI (x);
ix = hx & 0x7fffffff;
if (ix >= 0x7ff00000)
{
/* x is inf or NaN */
return x + x;
}
if (ix < 0x3e300000)
{
/* |x| < 2**-28 */
if (huge + x > one)
{
/* return x inexact except 0 */
return x;
}
}
if (ix > 0x41b00000)
{
/* |x| > 2**28 */
w = log (fabs (x)) + ln2;
}
else if (ix > 0x40000000)
{
/* 2**28 > |x| > 2.0 */
t = fabs (x);
w = log (2.0 * t + one / (sqrt (x * x + one) + t));
}
else
{
/* 2.0 > |x| > 2**-28 */
t = x * x;
w = log1p (fabs (x) + t / (one + sqrt (one + t)));
}
if (hx > 0)
{
return w;
}
else
{
return -w;
}
} /* asinh */
#undef one
#undef ln2
#undef huge

100
jerry-libm/atanh.c Normal file
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@ -0,0 +1,100 @@
/* Copyright JS Foundation and other contributors, http://js.foundation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* This file is based on work under the following copyright and permission
* notice:
*
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
*
* @(#)e_atanh.c 1.3 95/01/18
*/
#include "jerry-libm-internal.h"
/* atanh(x)
* Method :
* 1.Reduced x to positive by atanh(-x) = -atanh(x)
* 2.For x >= 0.5
* 1 2x x
* atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
* 2 1 - x 1 - x
*
* For x < 0.5
* atanh(x) = 0.5 * log1p(2x + 2x * x / (1 - x))
*
* Special cases:
* atanh(x) is NaN if |x| > 1 with signal;
* atanh(NaN) is that NaN with no signal;
* atanh(+-1) is +-INF with signal.
*
*/
#define zero 0.0
#define one 1.0
#define huge 1.0e+300
double
atanh (double x)
{
double t;
int hx, ix;
double_accessor temp;
temp.dbl = x;
hx = temp.as_int.hi;
ix = hx & 0x7fffffff;
/* |x| > 1 */
if ((ix | ((unsigned int)(temp.as_int.lo | (-temp.as_int.lo)) >> 31)) > 0x3ff00000)
{
return NAN;
}
if (ix == 0x3ff00000)
{
return x / zero;
}
if (ix < 0x3e300000 && (huge + x) > zero)
{
return x; /* x<2**-28 */
}
/* x <- |x| */
temp.as_int.hi = ix;
if (ix < 0x3fe00000)
{
/* x < 0.5 */
t = temp.dbl + temp.dbl;
t = 0.5 * log1p (t + t * temp.dbl / (one - temp.dbl));
}
else
{
t = 0.5 * log1p ((temp.dbl + temp.dbl) / (one - temp.dbl));
}
if (hx >= 0)
{
return t;
}
else
{
return -t;
}
} /* atanh */
#undef zero
#undef one
#undef huge

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@ -56,6 +56,11 @@ double asin (double);
double atan (double);
double atan2 (double, double);
/* Inverse hyperbolic functions */
double acosh (double);
double asinh (double);
double atanh (double);
/* Exponential and logarithmic functions. */
double exp (double);
double expm1 (double);

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@ -88,6 +88,10 @@ double cos (double x);
double sin (double x);
double tan (double x);
double acosh (double x);
double asinh (double x);
double atanh (double x);
double exp (double x);
double expm1 (double x);
double log (double x);

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@ -0,0 +1,29 @@
// Copyright JS Foundation and other contributors, http://js.foundation
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
var nan = NaN;
var p_zero = 0.0;
var m_zero = -p_zero;
function isSameZero (x, y)
{
return x === 0 && (1 / x) === (1 / y);
}
assert(isNaN(Math.acosh(NaN)));
assert(isNaN(Math.acosh(0)));
assert(isNaN(Math.acosh(Number.NEGATIVE_INFINITY)));
assert(isSameZero(Math.acosh(1), p_zero));
assert(Math.acosh(Number.POSITIVE_INFINITY) === Number.POSITIVE_INFINITY);

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@ -0,0 +1,29 @@
// Copyright JS Foundation and other contributors, http://js.foundation
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
var nan = NaN;
var p_zero = 0.0;
var m_zero = -p_zero;
function isSameZero (x, y)
{
return x === 0 && (1 / x) === (1 / y);
}
assert(isNaN(Math.asinh(NaN)));
assert(isSameZero(Math.asinh(p_zero), p_zero));
assert(isSameZero(Math.asinh(m_zero), m_zero));
assert(Math.asinh(Number.POSITIVE_INFINITY) === Number.POSITIVE_INFINITY);
assert(Math.asinh(Number.NEGATIVE_INFINITY) === Number.NEGATIVE_INFINITY);

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@ -0,0 +1,32 @@
// Copyright JS Foundation and other contributors, http://js.foundation
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
var nan = NaN;
var p_zero = 0.0;
var m_zero = -p_zero;
function isSameZero (x, y)
{
return x === 0 && (1 / x) === (1 / y);
}
assert(isNaN(Math.atanh(NaN)));
assert(isNaN(Math.atanh(2)));
assert(isNaN(Math.atanh(44)));
assert(isNaN(Math.atanh(-2)));
assert(isNaN(Math.atanh(-13)));
assert(isSameZero(Math.atanh(p_zero), p_zero));
assert(isSameZero(Math.atanh(m_zero), m_zero));
assert(Math.atanh(-1) === Number.NEGATIVE_INFINITY);
assert(Math.atanh(1) === Number.POSITIVE_INFINITY);

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@ -167,6 +167,87 @@ check_double ("atan2 (0.7, -1.0)", atan2 (0.7, -1.0), 2.53086668920058466270E+00
check_double ("atan2 (-0.7, -1.0)", atan2 (-0.7, -1.0), -2.53086668920058466270E+00);
check_double ("atan2 (0.4, 0.0003)", atan2 (0.4, 0.0003), 1.57004632693552159672E+00);
check_double ("atan2 (1.4, -0.93)", atan2 (1.4, -0.93), 2.15714876682378431383E+00);
check_double ("acosh (0.0)", acosh (0.0), -NAN);
check_double ("acosh (-0.0)", acosh (-0.0), -NAN);
check_double ("acosh (1.0)", acosh (1.0), 0.00000000000000000000E+00);
check_double ("acosh (-1.0)", acosh (-1.0), -NAN);
check_double ("acosh (INFINITY)", acosh (INFINITY), INF);
check_double ("acosh (-INFINITY)", acosh (-INFINITY), -NAN);
check_double ("acosh (NAN)", acosh (NAN), NAN);
check_double ("acosh (7.08e+02)", acosh (7.08e+02), 7.25559077551410425144E+00);
check_double ("acosh (7.10e+02)", acosh (7.10e+02), 7.25841165466159132791E+00);
check_double ("acosh (-7.40e+02)", acosh (-7.40e+02), -NAN);
check_double ("acosh (-7.50e+02)", acosh (-7.50e+02), -NAN);
check_double ("acosh (0.34)", acosh (0.34), -NAN);
check_double ("acosh (-0.34)", acosh (-0.34), -NAN);
check_double ("acosh (0.35)", acosh (0.35), -NAN);
check_double ("acosh (-0.35)", acosh (-0.35), -NAN);
check_double ("acosh (1.03)", acosh (1.03), 2.44340698822827606662E-01);
check_double ("acosh (-1.03)", acosh (-1.03), -NAN);
check_double ("acosh (1.04)", acosh (1.04), 2.81908289054146887764E-01);
check_double ("acosh (-1.04)", acosh (-1.04), -NAN);
check_double ("acosh (3.72e-09)", acosh (3.72e-09), -NAN);
check_double ("acosh (-3.72e-09)", acosh (-3.72e-09), -NAN);
check_double ("acosh (3.73e-09)", acosh (3.73e-09), -NAN);
check_double ("acosh (-3.73e-09)", acosh (-3.73e-09), -NAN);
check_double ("acosh (2.0)", acosh (2.0), 1.31695789692481679545E+00);
check_double ("acosh (3.0)", acosh (3.0), 1.76274717403908609548E+00);
check_double ("acosh (0.7)", acosh (0.7), -NAN);
check_double ("acosh (38.0)", acosh (38.0), 4.33056016511402308566E+00);
check_double ("asinh (0.0)", asinh (0.0), 0.00000000000000000000E+00);
check_double ("asinh (-0.0)", asinh (-0.0), -0.00000000000000000000E+00);
check_double ("asinh (1.0)", asinh (1.0), 8.81373587019543047738E-01);
check_double ("asinh (-1.0)", asinh (-1.0), -8.81373587019543047738E-01);
check_double ("asinh (INFINITY)", asinh (INFINITY), INF);
check_double ("asinh (-INFINITY)", asinh (-INFINITY), -INF);
check_double ("asinh (NAN)", asinh (NAN), NAN);
check_double ("asinh (7.08e+02)", asinh (7.08e+02), 7.25559177299247970439E+00);
check_double ("asinh (7.10e+02)", asinh (7.10e+02), 7.25841264652828410675E+00);
check_double ("asinh (-7.40e+02)", asinh (-7.40e+02), -7.29979782329546722508E+00);
check_double ("asinh (-7.50e+02)", asinh (-7.50e+02), -7.31322083153444957304E+00);
check_double ("asinh (0.34)", asinh (0.34), 3.33768351645882199730E-01);
check_double ("asinh (-0.34)", asinh (-0.34), -3.33768351645882199730E-01);
check_double ("asinh (0.35)", asinh (0.35), 3.43221555085943930141E-01);
check_double ("asinh (-0.35)", asinh (-0.35), -3.43221555085943930141E-01);
check_double ("asinh (1.03)", asinh (1.03), 9.02428495530461671770E-01);
check_double ("asinh (-1.03)", asinh (-1.03), -9.02428495530461671770E-01);
check_double ("asinh (1.04)", asinh (1.04), 9.09376928017844976537E-01);
check_double ("asinh (-1.04)", asinh (-1.04), -9.09376928017844976537E-01);
check_double ("asinh (3.72e-09)", asinh (3.72e-09), 3.71999999999999997526E-09);
check_double ("asinh (-3.72e-09)", asinh (-3.72e-09), -3.71999999999999997526E-09);
check_double ("asinh (3.73e-09)", asinh (3.73e-09), 3.73000000000000014752E-09);
check_double ("asinh (-3.73e-09)", asinh (-3.73e-09), -3.73000000000000014752E-09);
check_double ("asinh (2.0)", asinh (2.0), 1.44363547517881030124E+00);
check_double ("asinh (3.0)", asinh (3.0), 1.81844645923206682525E+00);
check_double ("asinh (0.7)", asinh (0.7), 6.52666566082355736889E-01);
check_double ("asinh (38.0)", asinh (38.0), 4.33090642553643068169E+00);
check_double ("atanh (0.0)", atanh (0.0), 0.00000000000000000000E+00);
check_double ("atanh (-0.0)", atanh (-0.0), -0.00000000000000000000E+00);
check_double ("atanh (1.0)", atanh (1.0), INF);
check_double ("atanh (-1.0)", atanh (-1.0), -INF);
check_double ("atanh (INFINITY)", atanh (INFINITY), -NAN);
check_double ("atanh (-INFINITY)", atanh (-INFINITY), -NAN);
check_double ("atanh (NAN)", atanh (NAN), NAN);
check_double ("atanh (7.08e+02)", atanh (7.08e+02), -NAN);
check_double ("atanh (7.10e+02)", atanh (7.10e+02), -NAN);
check_double ("atanh (-7.40e+02)", atanh (-7.40e+02), -NAN);
check_double ("atanh (-7.50e+02)", atanh (-7.50e+02), -NAN);
check_double ("atanh (0.34)", atanh (0.34), 3.54092528962242913959E-01);
check_double ("atanh (-0.34)", atanh (-0.34), -3.54092528962242913959E-01);
check_double ("atanh (0.35)", atanh (0.35), 3.65443754271396137323E-01);
check_double ("atanh (-0.35)", atanh (-0.35), -3.65443754271396137323E-01);
check_double ("atanh (1.03)", atanh (1.03), -NAN);
check_double ("atanh (-1.03)", atanh (-1.03), -NAN);
check_double ("atanh (1.04)", atanh (1.04), -NAN);
check_double ("atanh (-1.04)", atanh (-1.04), -NAN);
check_double ("atanh (3.72e-09)", atanh (3.72e-09), 3.71999999999999997526E-09);
check_double ("atanh (-3.72e-09)", atanh (-3.72e-09), -3.71999999999999997526E-09);
check_double ("atanh (3.73e-09)", atanh (3.73e-09), 3.73000000000000014752E-09);
check_double ("atanh (-3.73e-09)", atanh (-3.73e-09), -3.73000000000000014752E-09);
check_double ("atanh (2.0)", atanh (2.0), -NAN);
check_double ("atanh (3.0)", atanh (3.0), -NAN);
check_double ("atanh (0.7)", atanh (0.7), 8.67300527694053080552E-01);
check_double ("atanh (38.0)", atanh (38.0), -NAN);
check_double ("ceil (0.0)", ceil (0.0), 0.00000000000000000000E+00);
check_double ("ceil (-0.0)", ceil (-0.0), -0.00000000000000000000E+00);
check_double ("ceil (INFINITY)", ceil (INFINITY), INF);

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@ -210,6 +210,93 @@ main (int argc, char **args)
GEN_DBL_TEST (atan2 (0.4, 0.0003));
GEN_DBL_TEST (atan2 (1.4, -0.93));
/* acosh tests */
GEN_DBL_TEST (acosh (0.0));
GEN_DBL_TEST (acosh (-0.0));
GEN_DBL_TEST (acosh (1.0));
GEN_DBL_TEST (acosh (-1.0));
GEN_DBL_TEST (acosh (INFINITY));
GEN_DBL_TEST (acosh (-INFINITY));
GEN_DBL_TEST (acosh (NAN));
GEN_DBL_TEST (acosh (7.08e+02));
GEN_DBL_TEST (acosh (7.10e+02));
GEN_DBL_TEST (acosh (-7.40e+02));
GEN_DBL_TEST (acosh (-7.50e+02));
GEN_DBL_TEST (acosh (0.34));
GEN_DBL_TEST (acosh (-0.34));
GEN_DBL_TEST (acosh (0.35));
GEN_DBL_TEST (acosh (-0.35));
GEN_DBL_TEST (acosh (1.03));
GEN_DBL_TEST (acosh (-1.03));
GEN_DBL_TEST (acosh (1.04));
GEN_DBL_TEST (acosh (-1.04));
GEN_DBL_TEST (acosh (3.72e-09));
GEN_DBL_TEST (acosh (-3.72e-09));
GEN_DBL_TEST (acosh (3.73e-09));
GEN_DBL_TEST (acosh (-3.73e-09));
GEN_DBL_TEST (acosh (2.0));
GEN_DBL_TEST (acosh (3.0));
GEN_DBL_TEST (acosh (0.7));
GEN_DBL_TEST (acosh (38.0));
/* asinh tests */
GEN_DBL_TEST (asinh (0.0));
GEN_DBL_TEST (asinh (-0.0));
GEN_DBL_TEST (asinh (1.0));
GEN_DBL_TEST (asinh (-1.0));
GEN_DBL_TEST (asinh (INFINITY));
GEN_DBL_TEST (asinh (-INFINITY));
GEN_DBL_TEST (asinh (NAN));
GEN_DBL_TEST (asinh (7.08e+02));
GEN_DBL_TEST (asinh (7.10e+02));
GEN_DBL_TEST (asinh (-7.40e+02));
GEN_DBL_TEST (asinh (-7.50e+02));
GEN_DBL_TEST (asinh (0.34));
GEN_DBL_TEST (asinh (-0.34));
GEN_DBL_TEST (asinh (0.35));
GEN_DBL_TEST (asinh (-0.35));
GEN_DBL_TEST (asinh (1.03));
GEN_DBL_TEST (asinh (-1.03));
GEN_DBL_TEST (asinh (1.04));
GEN_DBL_TEST (asinh (-1.04));
GEN_DBL_TEST (asinh (3.72e-09));
GEN_DBL_TEST (asinh (-3.72e-09));
GEN_DBL_TEST (asinh (3.73e-09));
GEN_DBL_TEST (asinh (-3.73e-09));
GEN_DBL_TEST (asinh (2.0));
GEN_DBL_TEST (asinh (3.0));
GEN_DBL_TEST (asinh (0.7));
GEN_DBL_TEST (asinh (38.0));
/* atanh tests */
GEN_DBL_TEST (atanh (0.0));
GEN_DBL_TEST (atanh (-0.0));
GEN_DBL_TEST (atanh (1.0));
GEN_DBL_TEST (atanh (-1.0));
GEN_DBL_TEST (atanh (INFINITY));
GEN_DBL_TEST (atanh (-INFINITY));
GEN_DBL_TEST (atanh (NAN));
GEN_DBL_TEST (atanh (7.08e+02));
GEN_DBL_TEST (atanh (7.10e+02));
GEN_DBL_TEST (atanh (-7.40e+02));
GEN_DBL_TEST (atanh (-7.50e+02));
GEN_DBL_TEST (atanh (0.34));
GEN_DBL_TEST (atanh (-0.34));
GEN_DBL_TEST (atanh (0.35));
GEN_DBL_TEST (atanh (-0.35));
GEN_DBL_TEST (atanh (1.03));
GEN_DBL_TEST (atanh (-1.03));
GEN_DBL_TEST (atanh (1.04));
GEN_DBL_TEST (atanh (-1.04));
GEN_DBL_TEST (atanh (3.72e-09));
GEN_DBL_TEST (atanh (-3.72e-09));
GEN_DBL_TEST (atanh (3.73e-09));
GEN_DBL_TEST (atanh (-3.73e-09));
GEN_DBL_TEST (atanh (2.0));
GEN_DBL_TEST (atanh (3.0));
GEN_DBL_TEST (atanh (0.7));
GEN_DBL_TEST (atanh (38.0));
/* ceil tests */
GEN_DBL_TEST (ceil (0.0));
GEN_DBL_TEST (ceil (-0.0));