gslpp Namespace Reference

Complex number, vector and matrix manipulation using GSL. More...

Classes
class	complex
	A class for defining operations on and functions of complex numbers. More...
class	matrix
	A base class for defining operations on matrices, both real and complex. More...
class	matrix< complex >
	A class for constructing and defining operations on complex matrices. More...
class	matrix< double >
	A class for constructing and defining operations on real matrices. More...
class	vector
	A base class for defining operations on vectors, both real and complex. More...
class	vector< complex >
	A class for constructing and defining operations on complex vectors. More...
class	vector< double >
	A class for constructing and defining operations on real vectors. More...

Functions
matrix< complex >	operator* (const complex &z, const matrix< complex > m)
matrix< complex >	operator* (const complex &z, matrix< double > m)
vector< complex >	operator* (const complex &z, vector< complex > v)
vector< complex >	operator* (const complex &z, vector< double > v)
matrix< complex >	operator* (const double &a, const matrix< complex > m)
matrix< double >	operator* (const double &a, matrix< double > m)
vector< complex >	operator* (const double &a, vector< complex > v)
vector< double >	operator* (const double &a, vector< double > v)
complex	operator* (const double &x1, const complex &z2)
vector< complex >	operator* (const vector< complex > &v, const matrix< complex > m)
vector< complex >	operator* (const vector< complex > &v, matrix< double > m)
vector< complex >	operator* (const vector< double > &v, const matrix< complex > m)
vector< double >	operator* (const vector< double > &v, matrix< double > m)
matrix< complex >	operator+ (const complex &z, const matrix< complex > m)
matrix< complex >	operator+ (const complex &z, matrix< double > m)
vector< complex >	operator+ (const complex &z, vector< complex > v)
vector< complex >	operator+ (const complex &z, vector< double > v)
matrix< complex >	operator+ (const double &a, const matrix< complex > m)
matrix< double >	operator+ (const double &a, matrix< double > m)
vector< complex >	operator+ (const double &a, vector< complex > v)
vector< double >	operator+ (const double &a, vector< double > v)
complex	operator+ (const double &x1, const complex &z2)
matrix< complex >	operator+ (const matrix< double > m1, const matrix< complex > m2)
matrix< complex >	operator- (const complex &z, const matrix< complex > m)
matrix< complex >	operator- (const complex &z, matrix< double > m)
vector< complex >	operator- (const complex &z, vector< complex > v)
vector< complex >	operator- (const complex &z, vector< double > v)
matrix< complex >	operator- (const double &a, const matrix< complex > m)
matrix< double >	operator- (const double &a, matrix< double > m)
vector< complex >	operator- (const double &a, vector< complex > v)
vector< double >	operator- (const double &a, vector< double > v)
complex	operator- (const double &x1, const complex &z2)
matrix< complex >	operator- (const matrix< double > m1, const matrix< complex > m2)
complex	operator/ (const double &x1, const complex &z2)
std::ostream &	operator<< (std::ostream &output, const complex &z)
std::ostream &	operator<< (std::ostream &output, const matrix< complex > &m)
std::ostream &	operator<< (std::ostream &output, const matrix< double > &m)
std::ostream &	operator<< (std::ostream &output, const vector< complex > &v)
std::ostream &	operator<< (std::ostream &output, const vector< double > &v)
Exponential and logarithms of complex numbers
complex	exp (const complex &z)
complex	log (const complex &z)
complex	log10 (const complex &z)
complex	log (const complex &z, const complex &b)
complex	dilog (const complex &z)
Powers of complex numbers
complex	sqrt (const complex &z)
complex	pow (const complex &z1, const complex &z2)
complex	pow (const complex &z, const double x)
trigonometric functions on complex numbers
complex	sin (const complex &z)
complex	cos (const complex &z)
complex	tan (const complex &z)
complex	sec (const complex &z)
complex	csc (const complex &z)
complex	cot (const complex &z)
complex	arcsin (const complex &z)
complex	arccos (const complex &z)
complex	arctan (const complex &z)
complex	arcsec (const complex &z)
complex	arccsc (const complex &z)
complex	arccot (const complex &z)
Hyperbolic functions on complex numbers
complex	sinh (const complex &z)
complex	cosh (const complex &z)
complex	tanh (const complex &z)
complex	sech (const complex &z)
complex	csch (const complex &z)
complex	coth (const complex &z)
complex	arcsinh (const complex &z)
complex	arccosh (const complex &z)
complex	arctanh (const complex &z)
complex	arcsech (const complex &z)
complex	arccsch (const complex &z)
complex	arccoth (const complex &z)

Detailed Description

Complex number, vector and matrix manipulation using GSL.

Function Documentation

arccos()

complex gslpp::arccos

(

const complex &

z

)

Inverse cosine

Parameters

[in]

z

Complex number

Returns

\( \arccos z \)

Definition at line 483 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccos(z.as_gsl_type()));
  }

arccosh()

complex gslpp::arccosh

(

const complex &

z

)

Inverse hyperbolic cosine

Parameters

[in]

z

Complex number

Returns

\( \mathrm{acosh} z \)

Definition at line 596 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccosh(z.as_gsl_type()));
  }

arccot()

complex gslpp::arccot

(

const complex &

z

)

Inverse cotangent

Parameters

[in]

z

Complex number

Returns

\( \mathrm{acot} z \)

Definition at line 519 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccot(z.as_gsl_type()));
  }

arccoth()

complex gslpp::arccoth

(

const complex &

z

)

Inverse hyperbolic cotangent

Parameters

[in]

z

Complex number

Returns

\( \mathrm{acoth}(z) \)

Definition at line 632 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccoth(z.as_gsl_type()));
  }

arccsc()

complex gslpp::arccsc

(

const complex &

z

)

Inverse cosecant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{acsc} z \)

Definition at line 510 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccsc(z.as_gsl_type()));
  }

arccsch()

complex gslpp::arccsch

(

const complex &

z

)

Inverse hyperbolic cosecant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{acsch} z \)

Definition at line 623 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arccsch(z.as_gsl_type()));
  }

arcsec()

complex gslpp::arcsec

(

const complex &

z

)

Inverse secant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{asec} z \)

Definition at line 501 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arcsec(z.as_gsl_type()));
  }

arcsech()

complex gslpp::arcsech

(

const complex &

z

)

Inverse hyperbolic secant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{asech} z \)

Definition at line 614 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arcsech(z.as_gsl_type()));
  }

arcsin()

complex gslpp::arcsin

(

const complex &

z

)

Inverse sine

Parameters

[in]

z

Complex number

Returns

\( \arcsin z \)

Definition at line 474 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arcsin(z.as_gsl_type()));
  }

arcsinh()

complex gslpp::arcsinh

(

const complex &

z

)

Inverse hyperbolic sine

Parameters

[in]

z

Complex number

Returns

\( \mathrm{asinh} z \)

Definition at line 587 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arcsinh(z.as_gsl_type()));
  }

arctan()

complex gslpp::arctan

(

const complex &

z

)

Inverse tangent

Parameters

[in]

z

Complex number

Returns

\( \arctan z \)

Definition at line 492 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arctan(z.as_gsl_type()));
  }

arctanh()

complex gslpp::arctanh

(

const complex &

z

)

Inverse hyperbolic tangent

Parameters

[in]

z

Complex number

Returns

\( \mathrm{atanh} z \)

Definition at line 605 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_arctanh(z.as_gsl_type()));
  }

cos()

complex gslpp::cos

(

const complex &

z

)

Cosine

Parameters

[in]

z

Complex number

Returns

\( \cos z \)

Definition at line 429 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_cos(z.as_gsl_type()));
  }

cosh()

complex gslpp::cosh

(

const complex &

z

)

Hyperbolic cosine

Parameters

[in]

z

Complex number

Returns

\( \cosh z \)

Definition at line 542 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_cosh(z.as_gsl_type()));
  }

cot()

complex gslpp::cot

(

const complex &

z

)

Cotangent

Parameters

[in]

z

Complex number

Returns

\( \cot z \)

Definition at line 465 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_cot(z.as_gsl_type()));
  }

coth()

complex gslpp::coth

(

const complex &

z

)

Hyperbolic cotangent

Parameters

[in]

z

Complex number

Returns

\( \coth z \)

Definition at line 578 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_coth(z.as_gsl_type()));
  }

csc()

complex gslpp::csc

(

const complex &

z

)

Cosecant

Parameters

[in]

z

Complex number

Returns

\( \csc z \)

Definition at line 456 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_csc(z.as_gsl_type()));
  }

csch()

complex gslpp::csch

(

const complex &

z

)

Hyperbolic cosecant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{csch} z \)

Definition at line 569 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_csch(z.as_gsl_type()));
  }

dilog()

complex gslpp::dilog

(

const complex &

z

)

DiLogarithm of a complex number

Parameters

[in]

z

Complex number

Returns

\( Li_2(z) \)

Definition at line 370 of file gslpp_complex.cpp.

  {
    gsl_sf_result re, im;
    gsl_sf_complex_dilog_xy_e(z.real(), z.imag(), &re, &im);
    return complex(re.val, im.val, false);
  }

exp()

complex gslpp::exp

(

const complex &

z

)

exponentioal of a complex number

Parameters

[in]

z

Complex number

Returns

\( e^z \)

Definition at line 333 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_exp(z.as_gsl_type()));
  }

log() [1/2]

complex gslpp::log

(

const complex &

z

)

Logarithm of a complex number (base e)

Parameters

[in]

z

Complex number

Returns

\( \log z \)

Definition at line 342 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_log(z.as_gsl_type()));
  }

log() [2/2]

complex gslpp::log	(	const complex &	z,
		const complex &	b
	)

Logarithm of a complex number (base b)

Parameters

[in]	z	Complex number
[in]	b	Complex number

Returns

\( \log_b z \)

Definition at line 361 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_log_b(z.as_gsl_type(),b.as_gsl_type()));
  }

log10()

complex gslpp::log10

(

const complex &

z

)

Logarithm of a complex number (base 10)

Parameters

[in]

z

Complex number

Returns

\( \log_{10} z \)

Definition at line 351 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_log10(z.as_gsl_type()));
  }

operator*() [1/13]

matrix<complex> gslpp::operator*	(	const complex &	z,
		const matrix< complex >	m
	)

Multiply a complex number by complex matrix

Parameters

z	Complex number
m	Complex matrix

Returns

\( z*m \)

Definition at line 737 of file gslpp_matrix_complex.cpp.

    {
        return m * z;
    }

operator*() [2/13]

matrix<complex> gslpp::operator*	(	const complex &	z,
		matrix< double >	m
	)

Multiply a complex number by a real matrix

Parameters

z	Complex number
m	Real matrix

Returns

\( a*m \)

Definition at line 598 of file gslpp_matrix_double.cpp.

    {
        return m*z;
    }

operator*() [3/13]

vector<complex> gslpp::operator*	(	const complex &	z,
		vector< complex >	v
	)

Multiply a complex number by complex vector

Parameters

z	Complex number
v	Complex vector

Returns

\( z*v \)

Definition at line 411 of file gslpp_vector_complex.cpp.

    {
        return v*z;
    }

operator*() [4/13]

vector<complex> gslpp::operator*	(	const complex &	z,
		vector< double >	v
	)

Multiply a complex number by a real vector

Parameters

z	Complex number
v	Real vector

Returns

\( z*v \)

Definition at line 350 of file gslpp_vector_double.cpp.

  {
    return v*z;
  }

operator*() [5/13]

matrix<complex> gslpp::operator*	(	const double &	a,
		const matrix< complex >	m
	)

Multiply a real number by a complex matrix

Parameters

a	Real number
m	Complex matrix

Returns

\( z*m \)

Definition at line 762 of file gslpp_matrix_complex.cpp.

    {
        return m * a;
    }

operator*() [6/13]

matrix<double> gslpp::operator*	(	const double &	a,
		matrix< double >	m
	)

Multiply a real number by real matrix

Parameters

a	Real number
m	Real matrix

Returns

\( a*m \)

Definition at line 573 of file gslpp_matrix_double.cpp.

    {
        return m*a;
    }

operator*() [7/13]

vector<complex> gslpp::operator*	(	const double &	a,
		vector< complex >	v
	)

Multiply a real number by a complex vector

Parameters

a	Real number
v	Complex vector

Returns

\( z*v \)

Definition at line 426 of file gslpp_vector_complex.cpp.

    {
        return v*a;
    }

operator*() [8/13]

vector<double> gslpp::operator*	(	const double &	a,
		vector< double >	v
	)

Multiply a real number by real vector

Parameters

a	Real number
v	Real vector

Returns

\( a*v \)

Definition at line 335 of file gslpp_vector_double.cpp.

  {
    return v*a;
  }

operator*() [9/13]

complex gslpp::operator*	(	const double &	x1,
		const complex &	z2
	)

Multiply a real and complex numbers

Parameters

[in]	x1	Real number
[in]	z2	Complex number

Returns

\( x_1 z_2 \)

Definition at line 314 of file gslpp_complex.cpp.

  {
    complex z1(x1, 0.);
    return z1 * z2;
  }

operator*() [10/13]

vector<complex> gslpp::operator*	(	const vector< complex > &	v,
		const matrix< complex >	m
	)

Multiply a complex vector by a complex matrix

Parameters

v	Complex vector
m	Complex matrix

Returns

\( v*m \)

Definition at line 742 of file gslpp_matrix_complex.cpp.

    {
        return m.transpose() * v;
    }

operator*() [11/13]

vector<complex> gslpp::operator*	(	const vector< complex > &	v,
		matrix< double >	m
	)

Multiply a complex vector by a real matrix

Parameters

v	Complex vector
m	Real matrix

Returns

\( v*m \)

Definition at line 583 of file gslpp_matrix_double.cpp.

    {
        return m.transpose() * v;
    }

operator*() [12/13]

vector<complex> gslpp::operator*	(	const vector< double > &	v,
		const matrix< complex >	m
	)

Multiply a real vector by a complex matrix

Parameters

v	Real vector
m	Complex matrix

Returns

\( v*m \)

Definition at line 747 of file gslpp_matrix_complex.cpp.

    {
        return m.transpose() * v;
    }

operator*() [13/13]

vector<double> gslpp::operator*	(	const vector< double > &	v,
		matrix< double >	m
	)

Multiply a real vector by a real matrix

Parameters

v	Real vector
m	Real matrix

Returns

\( v*m \)

Definition at line 578 of file gslpp_matrix_double.cpp.

    {
        return m.transpose() * v;
    }

operator+() [1/10]

matrix<complex> gslpp::operator+	(	const complex &	z,
		const matrix< complex >	m
	)

Add a complex number to a complex matrix

Parameters

z	Complex number
m	Complex matrix

Returns

\( z + m \)

Definition at line 727 of file gslpp_matrix_complex.cpp.

    {
        return m + z;
    }

operator+() [2/10]

matrix<complex> gslpp::operator+	(	const complex &	z,
		matrix< double >	m
	)

Add a complex number to a real matrix

Parameters

z	Complex number
m	Real matrix

Returns

\( z + m \)

Definition at line 588 of file gslpp_matrix_double.cpp.

    {
        return m + z;
    }

operator+() [3/10]

vector<complex> gslpp::operator+	(	const complex &	z,
		vector< complex >	v
	)

Add a complex number to a complex vector

Parameters

z	Complex number
v	Complex vector

Returns

\( z + v \)

Definition at line 401 of file gslpp_vector_complex.cpp.

    {
        return v + z;
    }

operator+() [4/10]

vector<complex> gslpp::operator+	(	const complex &	z,
		vector< double >	v
	)

Add a complex number to a real vector

Parameters

z	Complex number
v	Real vector

Returns

\( z + v \)

Definition at line 340 of file gslpp_vector_double.cpp.

  {
    return v+z;
  }

operator+() [5/10]

matrix<complex> gslpp::operator+	(	const double &	a,
		const matrix< complex >	m
	)

Add a real number to a complex matrix

Parameters

a	Real number
m	Complex matrix

Returns

\( a + m \)

Definition at line 752 of file gslpp_matrix_complex.cpp.

    {
        return m + a;
    }

operator+() [6/10]

matrix<double> gslpp::operator+	(	const double &	a,
		matrix< double >	m
	)

Add a real number to a real vector

Parameters

a	Real number
m	Real vector

Returns

\( a + m \)

Definition at line 563 of file gslpp_matrix_double.cpp.

    {
        return m + a;
    }

operator+() [7/10]

vector<complex> gslpp::operator+	(	const double &	a,
		vector< complex >	v
	)

Add a real number to a complex vector

Parameters

a	Real number
v	Complex vector

Returns

\( a + v \)

Definition at line 416 of file gslpp_vector_complex.cpp.

    {
        return v + a;
    }

operator+() [8/10]

vector<double> gslpp::operator+	(	const double &	a,
		vector< double >	v
	)

Add a real number to a real vector

Parameters

a	Real number
v	Real vector

Returns

\( a + v \)

Definition at line 325 of file gslpp_vector_double.cpp.

  {
    return v+a;
  }

operator+() [9/10]

complex gslpp::operator+	(	const double &	x1,
		const complex &	z2
	)

Add a real and complex numbers

Parameters

[in]	x1	Real number
[in]	z2	Complex number

Returns

\( x_1 + z_2 \)

Definition at line 302 of file gslpp_complex.cpp.

  {
    complex z1(x1, 0.);
    return z1 + z2;
  }

operator+() [10/10]

matrix<complex> gslpp::operator+	(	const matrix< double >	m1,
		const matrix< complex >	m2
	)

Add a double matrix to a complex matrix

Parameters

m1	Double matrix
m2	Complex matrix

Returns

\( m2 + m1 \)

Definition at line 717 of file gslpp_matrix_complex.cpp.

    {
        return m2 + m1;
    }

operator-() [1/10]

matrix<complex> gslpp::operator-	(	const complex &	z,
		const matrix< complex >	m
	)

Subtract a complex number from a complex matrix

Parameters

z	Complex number
m	Complex matrix

Returns

\( z - m \)

Definition at line 732 of file gslpp_matrix_complex.cpp.

    {
        return -m + z;
    }

operator-() [2/10]

matrix<complex> gslpp::operator-	(	const complex &	z,
		matrix< double >	m
	)

Subtract a complex number from a real matrix

Parameters

z	Complex number
m	Real matrix

Returns

\( z - m \)

Definition at line 593 of file gslpp_matrix_double.cpp.

    {
        return -m + z;
    }

operator-() [3/10]

vector<complex> gslpp::operator-	(	const complex &	z,
		vector< complex >	v
	)

Subtract a complex number from a complex vector

Parameters

z	Complex number
v	Complex vector

Returns

\( z - v \)

Definition at line 406 of file gslpp_vector_complex.cpp.

    {
        return -v + z;
    }

operator-() [4/10]

vector<complex> gslpp::operator-	(	const complex &	z,
		vector< double >	v
	)

Subtract a complex number from a real vector

Parameters

z	Complex number
v	Real vector

Returns

\( z - v \)

Definition at line 345 of file gslpp_vector_double.cpp.

  {
    return -v+z;
  }

operator-() [5/10]

matrix<complex> gslpp::operator-	(	const double &	a,
		const matrix< complex >	m
	)

Subtract a complex matrix from a real number

Parameters

a	Real number
m	Complex matrix

Returns

\( a - m \)

Definition at line 757 of file gslpp_matrix_complex.cpp.

    {
        return -m + a;
    }

operator-() [6/10]

matrix<double> gslpp::operator-	(	const double &	a,
		matrix< double >	m
	)

Subtract a real number from a real matrix

Parameters

a	Real number
m	Real matrix

Returns

\( a - m \)

Definition at line 568 of file gslpp_matrix_double.cpp.

    {
        return -m + a;
    }

operator-() [7/10]

vector<complex> gslpp::operator-	(	const double &	a,
		vector< complex >	v
	)

Subtract a complex vector from a real number

Parameters

a	Real number
v	Complex vector

Returns

\( a - v \)

Definition at line 421 of file gslpp_vector_complex.cpp.

    {
        return -v + a;
    }

operator-() [8/10]

vector<double> gslpp::operator-	(	const double &	a,
		vector< double >	v
	)

Subtract a real number from a real vector

Parameters

a	Real number
v	Real vector

Returns

\( a - v \)

Definition at line 330 of file gslpp_vector_double.cpp.

  {
    return -v+a;
  }

operator-() [9/10]

complex gslpp::operator-	(	const double &	x1,
		const complex &	z2
	)

Subtract a real and complex numbers

Parameters

[in]	x1	Real number
[in]	z2	Complex number

Returns

\( x_1 - z_2 \)

Definition at line 308 of file gslpp_complex.cpp.

  {
    complex z1(x1, 0.);
    return z1 - z2;
  }

operator-() [10/10]

matrix<complex> gslpp::operator-	(	const matrix< double >	m1,
		const matrix< complex >	m2
	)

Subtract a double matrix to a complex matrix

Parameters

m1	Double matrix
m2	Complex matrix

Returns

\( -m2 + m1 \)

Definition at line 722 of file gslpp_matrix_complex.cpp.

    {
        return -m2 + m1;
    }

operator/()

complex gslpp::operator/	(	const double &	x1,
		const complex &	z2
	)

Divide a real and complex numbers

Parameters

[in]	x1	Real number
[in]	z2	Complex number

Returns

\( x_1 / z_2 \)

Definition at line 320 of file gslpp_complex.cpp.

  {
    complex z1(x1, 0);
    return z1 / z2;
  }

operator<<() [1/5]

std::ostream& gslpp::operator<<	(	std::ostream &	output,
		const complex &	z
	)

Friend functions

Parameters

[in]	output	output stream
[in]	z	Complex number

Returns

formatted output for complex

Definition at line 143 of file gslpp_complex.cpp.

  {
    double absim = ::fabs(z.imag());
    output <<  z.real() << (z.imag() < 0.? "-" : "+");
    if (absim != 1.)
      output << fabs(z.imag()) << "*";
    output << "i";
    return output;
  }

operator<<() [2/5]

std::ostream& gslpp::operator<<	(	std::ostream &	output,
		const matrix< complex > &	m
	)

friend functions

Definition at line 703 of file gslpp_matrix_complex.cpp.

    {
        size_t i, j;
        for (i = 0; i < m.size_i(); i++)
        {
            output << std::endl;
            output << "\t(";
            for (j = 0; j < m.size_j() - 1; j++)
                output << m(i, j) << ",";
            output << m(i, j) << ")";
        }
        return output;
    }

operator<<() [3/5]

std::ostream& gslpp::operator<<	(	std::ostream &	output,
		const matrix< double > &	m
	)

friend functions

Definition at line 549 of file gslpp_matrix_double.cpp.

    {
        size_t i, j;
        for (i = 0; i < m.size_i(); i++)
        {
            output << std::endl;
            output << "\t(";
            for (j = 0; j < m.size_j() - 1; j++)
                output << m(i, j) << ",";
            output << m(i, j) << ")";
        }
        return output;
    }

operator<<() [4/5]

std::ostream& gslpp::operator<<	(	std::ostream &	output,
		const vector< complex > &	v
	)

friend functions

Definition at line 391 of file gslpp_vector_complex.cpp.

    {
        size_t i;
        output << "(";
        for (i = 0; i < v.size() - 1; i++)
            output << v(i) << ", ";
        output << v(i) << ")";
        return output;
    }

operator<<() [5/5]

std::ostream& gslpp::operator<<	(	std::ostream &	output,
		const vector< double > &	v
	)

friend functions

Definition at line 315 of file gslpp_vector_double.cpp.

  {
    size_t i;
    output << "(";
    for (i=0; i<v.size()-1; i++)
      output << v(i) << ",";
    output << v(i) << ")";
    return output;
  }

pow() [1/2]

complex gslpp::pow	(	const complex &	z,
		const double	x
	)

Complex number to the x real order

Parameters

[in]	z	Complex number
[in]	x	Real number

Returns

\( z^x \)

Definition at line 407 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_pow_real(z.as_gsl_type(), x));
  }

pow() [2/2]

complex gslpp::pow	(	const complex &	z1,
		const complex &	z2
	)

Complex number to the z2 complex order

Parameters

[in]	z1	Complex number
[in]	z2	Complex number

Returns

\( z_1^{z_2} \)

Examples

myObservables.cpp.

Definition at line 395 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_pow(z1.as_gsl_type(),
                                   z2.as_gsl_type()));
  }

sec()

complex gslpp::sec

(

const complex &

z

)

Secant

Parameters

[in]

z

Complex number

Returns

\( \sec z \)

Definition at line 447 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_sec(z.as_gsl_type()));
  }

sech()

complex gslpp::sech

(

const complex &

z

)

Hyperbolic secant

Parameters

[in]

z

Complex number

Returns

\( \mathrm{sech} z \)

Definition at line 560 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_sech(z.as_gsl_type()));
  }

sin()

complex gslpp::sin

(

const complex &

z

)

Sine

Parameters

[in]

z

Complex number

Returns

\( \sin z \)

Definition at line 420 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_sin(z.as_gsl_type()));
  }

sinh()

complex gslpp::sinh

(

const complex &

z

)

Hyperbolic sine

Parameters

[in]

z

Complex number

Returns

\( \sinh z \)

Definition at line 533 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_sinh(z.as_gsl_type()));
  }

sqrt()

complex gslpp::sqrt

(

const complex &

z

)

Square root of a complex number

Parameters

[in]

z

Complex number

Returns

\( \sqrt z \)

Examples

myObservables.cpp.

Definition at line 385 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_sqrt(z.as_gsl_type()));
  }

tan()

complex gslpp::tan

(

const complex &

z

)

Tangent

Parameters

[in]

z

Complex number

Returns

\( \tan z \)

Definition at line 438 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_tan(z.as_gsl_type()));
  }

tanh()

complex gslpp::tanh

(

const complex &

z

)

Hyperbolic tangent

Parameters

[in]

z

Complex number

Returns

\( \tanh z \)

Definition at line 551 of file gslpp_complex.cpp.

  {
    return complex(gsl_complex_tanh(z.as_gsl_type()));
  }