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-rw-r--r--libstdc++-v3/include/tr1/bessel_function.tcc10
-rw-r--r--libstdc++-v3/include/tr1/cmath12
-rw-r--r--libstdc++-v3/include/tr1/ell_integral.tcc6
-rw-r--r--libstdc++-v3/include/tr1/hypergeometric.tcc4
-rw-r--r--libstdc++-v3/include/tr1/legendre_function.tcc2
5 files changed, 17 insertions, 17 deletions
diff --git a/libstdc++-v3/include/tr1/bessel_function.tcc b/libstdc++-v3/include/tr1/bessel_function.tcc
index eebafac41ce..19c9860d51c 100644
--- a/libstdc++-v3/include/tr1/bessel_function.tcc
+++ b/libstdc++-v3/include/tr1/bessel_function.tcc
@@ -131,7 +131,7 @@ namespace tr1
* @param __nu The order of the Bessel functions.
* @param __x The argument of the Bessel functions.
* @param __Jnu The output Bessel function of the first kind.
- * @param __Nnu The output Neumann function (Bessel fuction of the second kind).
+ * @param __Nnu The output Neumann function (Bessel function of the second kind).
* @param __Jpnu The output derivative of the Bessel function of the first kind.
* @param __Npnu The output derivative of the Neumann function.
*/
@@ -345,7 +345,7 @@ namespace tr1
/**
- * @brief This routine computes the asyptotic cylindrical Bessel
+ * @brief This routine computes the asymptotic cylindrical Bessel
* and Neumann functions of order nu: \f$ J_{\nu} \f$,
* \f$ N_{\nu} \f$.
*
@@ -358,7 +358,7 @@ namespace tr1
* @param __nu The order of the Bessel functions.
* @param __x The argument of the Bessel functions.
* @param __Jnu The output Bessel function of the first kind.
- * @param __Nnu The output Neumann function (Bessel fuction of the second kind).
+ * @param __Nnu The output Neumann function (Bessel function of the second kind).
*/
template <typename _Tp>
void
@@ -401,7 +401,7 @@ namespace tr1
* \frac{\sigma^k (x/2)^{\nu + 2k}}{k!\Gamma(\nu+k+1)}
* @f]
* where \f$ \sigma = +1 \f$ or\f$ -1 \f$ for
- * \f$ Z = I \f$ or \f$ J \f$ respecively.
+ * \f$ Z = I \f$ or \f$ J \f$ respectively.
*
* See Abramowitz & Stegun, 9.1.10
* Abramowitz & Stegun, 9.6.7
@@ -488,7 +488,7 @@ namespace tr1
/**
- * @brief Return the Neunamm function of order \f$ \nu \f$:
+ * @brief Return the Neumann function of order \f$ \nu \f$:
* \f$ N_{\nu}(x) \f$.
*
* The Neumann function is defined by:
diff --git a/libstdc++-v3/include/tr1/cmath b/libstdc++-v3/include/tr1/cmath
index a7629d28bb3..81a3bfefde6 100644
--- a/libstdc++-v3/include/tr1/cmath
+++ b/libstdc++-v3/include/tr1/cmath
@@ -135,7 +135,7 @@ namespace tr1
return __detail::__beta<__type>(__x, __y);
}
- // 5.2.1.4 Complete elliptic interals of the first kind.
+ // 5.2.1.4 Complete elliptic integrals of the first kind.
inline float
comp_ellint_1f(float __k)
{ return __detail::__comp_ellint_1<float>(__k); }
@@ -152,7 +152,7 @@ namespace tr1
return __detail::__comp_ellint_1<__type>(__k);
}
- // 5.2.1.5 Complete elliptic interals of the second kind.
+ // 5.2.1.5 Complete elliptic integrals of the second kind.
inline float
comp_ellint_2f(float __k)
{ return __detail::__comp_ellint_2<float>(__k); }
@@ -169,7 +169,7 @@ namespace tr1
return __detail::__comp_ellint_2<__type>(__k);
}
- // 5.2.1.6 Complete elliptic interals of the third kind.
+ // 5.2.1.6 Complete elliptic integrals of the third kind.
inline float
comp_ellint_3f(float __k, float __nu)
{ return __detail::__comp_ellint_3<float>(__k, __nu); }
@@ -271,7 +271,7 @@ namespace tr1
return __detail::__cyl_neumann_n<__type>(__nu, __x);
}
- // 5.2.1.12 Incomplete elliptic interals of the first kind.
+ // 5.2.1.12 Incomplete elliptic integrals of the first kind.
inline float
ellint_1f(float __k, float __phi)
{ return __detail::__ellint_1<float>(__k, __phi); }
@@ -288,7 +288,7 @@ namespace tr1
return __detail::__ellint_1<__type>(__k, __phi);
}
- // 5.2.1.13 Incomplete elliptic interals of the second kind.
+ // 5.2.1.13 Incomplete elliptic integrals of the second kind.
inline float
ellint_2f(float __k, float __phi)
{ return __detail::__ellint_2<float>(__k, __phi); }
@@ -305,7 +305,7 @@ namespace tr1
return __detail::__ellint_2<__type>(__k, __phi);
}
- // 5.2.1.14 Incomplete elliptic interals of the third kind.
+ // 5.2.1.14 Incomplete elliptic integrals of the third kind.
inline float
ellint_3f(float __k, float __nu, float __phi)
{ return __detail::__ellint_3<float>(__k, __nu, __phi); }
diff --git a/libstdc++-v3/include/tr1/ell_integral.tcc b/libstdc++-v3/include/tr1/ell_integral.tcc
index 745b379fb9c..7eaab6f5fe3 100644
--- a/libstdc++-v3/include/tr1/ell_integral.tcc
+++ b/libstdc++-v3/include/tr1/ell_integral.tcc
@@ -313,7 +313,7 @@ namespace tr1
* Based on Carlson's algorithms:
* - B. C. Carlson Numer. Math. 33, 1 (1979)
* - B. C. Carlson, Special Functions of Applied Mathematics (1977)
- * - Nunerical Recipes in C, 2nd ed, pp. 261-269,
+ * - Numerical Recipes in C, 2nd ed, pp. 261-269,
* by Press, Teukolsky, Vetterling, Flannery (1992)
*
* @param __x The first of two symmetric arguments.
@@ -494,7 +494,7 @@ namespace tr1
* Based on Carlson's algorithms:
* - B. C. Carlson Numer. Math. 33, 1 (1979)
* - B. C. Carlson, Special Functions of Applied Mathematics (1977)
- * - Nunerical Recipes in C, 2nd ed, pp. 261-269,
+ * - Numerical Recipes in C, 2nd ed, pp. 261-269,
* by Press, Teukolsky, Vetterling, Flannery (1992)
*
* @param __x The first argument.
@@ -563,7 +563,7 @@ namespace tr1
* Based on Carlson's algorithms:
* - B. C. Carlson Numer. Math. 33, 1 (1979)
* - B. C. Carlson, Special Functions of Applied Mathematics (1977)
- * - Nunerical Recipes in C, 2nd ed, pp. 261-269,
+ * - Numerical Recipes in C, 2nd ed, pp. 261-269,
* by Press, Teukolsky, Vetterling, Flannery (1992)
*
* @param __x The first of three symmetric arguments.
diff --git a/libstdc++-v3/include/tr1/hypergeometric.tcc b/libstdc++-v3/include/tr1/hypergeometric.tcc
index 17fa959ba9b..e26c7e8fbe1 100644
--- a/libstdc++-v3/include/tr1/hypergeometric.tcc
+++ b/libstdc++-v3/include/tr1/hypergeometric.tcc
@@ -66,7 +66,7 @@ namespace tr1
{
/**
- * @brief This routine returns the confluent hypereometric function
+ * @brief This routine returns the confluent hypergeometric function
* by series expansion.
*
* @f[
@@ -78,7 +78,7 @@ namespace tr1
*
* If a and b are integers and a < 0 and either b > 0 or b < a then the
* series is a polynomial with a finite number of terms. If b is an integer
- * and b <= 0 the the confluent hypergeometric function is undefined.
+ * and b <= 0 the confluent hypergeometric function is undefined.
*
* @param __a The "numerator" parameter.
* @param __c The "denominator" parameter.
diff --git a/libstdc++-v3/include/tr1/legendre_function.tcc b/libstdc++-v3/include/tr1/legendre_function.tcc
index 839459f49a0..da49a3aaa08 100644
--- a/libstdc++-v3/include/tr1/legendre_function.tcc
+++ b/libstdc++-v3/include/tr1/legendre_function.tcc
@@ -128,7 +128,7 @@ namespace tr1
* on @f$ l @f$.
*
* The associated Legendre function is derived from the Legendre function
- * @f$ P_l(x) @f$ by the Rodruigez formula:
+ * @f$ P_l(x) @f$ by the Rodrigues formula:
* @f[
* P_l^m(x) = (1 - x^2)^{m/2}\frac{d^m}{dx^m}P_l(x)
* @f]