1ERFC(3) Linux Programmer's Manual ERFC(3)
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6 erfc, erfcf, erfcl - complementary error function
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9 #include <math.h>
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11 double erfc(double x);
12 float erfcf(float x);
13 long double erfcl(long double x);
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15 Link with -lm.
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17 Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
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19 erfc():
20 _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE
21 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
22 || /* Glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
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24 erfcf(), erfcl():
25 _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
26 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
27 || /* Glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
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30 These functions return the complementary error function of x, that is,
31 1.0 - erf(x).
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34 On success, these functions return the complementary error function of
35 x, a value in the range [0,2].
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37 If x is a NaN, a NaN is returned.
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39 If x is +0 or -0, 1 is returned.
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41 If x is positive infinity, +0 is returned.
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43 If x is negative infinity, +2 is returned.
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45 If the function result underflows and produces an unrepresentable
46 value, the return value is 0.0.
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48 If the function result underflows but produces a representable (i.e.,
49 subnormal) value, that value is returned, and a range error occurs.
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52 See math_error(7) for information on how to determine whether an error
53 has occurred when calling these functions.
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55 The following errors can occur:
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57 Range error: result underflow (result is subnormal)
58 An underflow floating-point exception (FE_UNDERFLOW) is raised.
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60 These functions do not set errno.
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63 For an explanation of the terms used in this section, see at‐
64 tributes(7).
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66 ┌────────────────────────────────────────────┬───────────────┬─────────┐
67 │Interface │ Attribute │ Value │
68 ├────────────────────────────────────────────┼───────────────┼─────────┤
69 │erfc(), erfcf(), erfcl() │ Thread safety │ MT-Safe │
70 └────────────────────────────────────────────┴───────────────┴─────────┘
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73 C99, POSIX.1-2001, POSIX.1-2008.
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75 The variant returning double also conforms to SVr4, 4.3BSD.
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78 The erfc(), erfcf(), and erfcl() functions are provided to avoid the
79 loss accuracy that would occur for the calculation 1-erf(x) for large
80 values of x (for which the value of erf(x) approaches 1).
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83 cerf(3), erf(3), exp(3)
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86 This page is part of release 5.13 of the Linux man-pages project. A
87 description of the project, information about reporting bugs, and the
88 latest version of this page, can be found at
89 https://www.kernel.org/doc/man-pages/.
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93GNU 2021-03-22 ERFC(3)