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 versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
23 erfcf(), erfcl():
24 _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
25 || /* Since glibc 2.19: */ _DEFAULT_SOURCE
26 || /* Glibc versions <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
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29 These functions return the complementary error function of x, that is,
30 1.0 - erf(x).
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33 On success, these functions return the complementary error function of
34 x, a value in the range [0,2].
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36 If x is a NaN, a NaN is returned.
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38 If x is +0 or -0, 1 is returned.
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40 If x is positive infinity, +0 is returned.
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42 If x is negative infinity, +2 is returned.
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44 If the function result underflows and produces an unrepresentable
45 value, the return value is 0.0.
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47 If the function result underflows but produces a representable (i.e.,
48 subnormal) value, that value is returned, and a range error occurs.
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51 See math_error(7) for information on how to determine whether an error
52 has occurred when calling these functions.
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54 The following errors can occur:
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56 Range error: result underflow (result is subnormal)
57 An underflow floating-point exception (FE_UNDERFLOW) is raised.
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59 These functions do not set errno.
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62 For an explanation of the terms used in this section, see
63 attributes(7).
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65 ┌─────────────────────────┬───────────────┬─────────┐
66 │Interface │ Attribute │ Value │
67 ├─────────────────────────┼───────────────┼─────────┤
68 │erfc(), erfcf(), erfcl() │ Thread safety │ MT-Safe │
69 └─────────────────────────┴───────────────┴─────────┘
71 C99, POSIX.1-2001, POSIX.1-2008.
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73 The variant returning double also conforms to SVr4, 4.3BSD.
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76 The erfc(), erfcf(), and erfcl() functions are provided to avoid the
77 loss accuracy that would occur for the calculation 1-erf(x) for large
78 values of x (for which the value of erf(x) approaches 1).
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81 cerf(3), erf(3), exp(3)
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84 This page is part of release 4.16 of the Linux man-pages project. A
85 description of the project, information about reporting bugs, and the
86 latest version of this page, can be found at
87 https://www.kernel.org/doc/man-pages/.
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91GNU 2017-09-15 ERFC(3)