1hypot(3M)               Mathematical Library Functions               hypot(3M)
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NAME

6       hypot, hypotf, hypotl - Euclidean distance function
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SYNOPSIS

9       c99 [ flag... ] file... -lm [ library... ]
10       #include <math.h>
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12       double hypot(double x, double y);
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15       float hypotf(float x, float y);
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18       long double hypotl(long double x, long double y);
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DESCRIPTION

22       These  functions  compute  the  length  of the square root of x^2 + y^2
23       without undue overflow or underflow.
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RETURN VALUES

26       Upon successful completion, these functions return the  length  of  the
27       hypotenuse of a right angled triangle with sides of length x^2 and y^2.
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30       If  the  correct  value  would cause overflow, a range error occurs and
31       hypot(), hypotf(), and hypotl() return the value of the macro HUGE_VAL,
32       HUGE_VALF, and HUGE_VALL, respectively.
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35       If x or y is ±Inf, +Inf is returned even if one of x or y is NaN.
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38       If x or y is NaN and the other is not ±Inf, a NaN is returned.
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ERRORS

41       These functions will fail if:
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43       Range Error    The result overflows.
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45                      If    the   integer   expression   (math_errhandling   &
46                      MATH_ERREXCEPT) is non-zero, the overflow floating-point
47                      exception is raised.
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USAGE

51       hypot(x,y), hypot(y,x), and hypot(x, −y) are equivalent.
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54       hypot(x, ±0) is equivalent to fabs(x).
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57       These functions takes precautions against underflow and overflow during
58       intermediate steps of the computation.
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61       An application wanting to check for exceptions should  call  feclearex‐
62       cept(FE_ALL_EXCEPT)  before  calling  these  functions.  On  return, if
63       fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is
64       non-zero,  an  exception  has been raised. An application should either
65       examine the return value or check the floating point exception flags to
66       detect exceptions.
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ATTRIBUTES

69       See attributes(5) for descriptions of the following attributes:
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74       ┌─────────────────────────────┬─────────────────────────────┐
75       │      ATTRIBUTE TYPE         │      ATTRIBUTE VALUE        │
76       ├─────────────────────────────┼─────────────────────────────┤
77       │Interface Stability          │Standard                     │
78       ├─────────────────────────────┼─────────────────────────────┤
79       │MT-Level                     │MT-Safe                      │
80       └─────────────────────────────┴─────────────────────────────┘
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SEE ALSO

83       fabs(3M),      feclearexcept(3M),      fetestexcept(3M),     isnan(3M),
84       math.h(3HEAD), sqrt(3M), attributes(5), standards(5)
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88SunOS 5.11                        1 Sep 2002                         hypot(3M)
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