NUM::FPConst< T > Struct Template Reference

Floating point constant template class. More...

#include <num_math.h>

Collaboration diagram for NUM::FPConst< T >:

[legend]List of all members.

Static Public Member Functions
const T pi	SCFMinit (3.1415926535897932384626433832795029)
	pi
const T div_pi_2	SCFMinit (1.5707963267948966192313216916397514)
	pi/2
const T div_pi_3	SCFMinit (1.047197551196597746154214461093168)
	pi/3
const T div_pi_4	SCFMinit (0.7853981633974483096156608458198757)
	pi/4
const T mul_pi_2	SCFMinit (6.283185307179586476925286766559006)
	2*pi
const T mul_pi_3	SCFMinit (9.424777960769379715387930149838509)
	3*pi
const T mul_pi_4	SCFMinit (12.56637061435917295385057353311801)
	4*pi
const T mul_pi_2_3	SCFMinit (2.094395102393195492308428922186335)
	2*pi/3
const T div_1_pi	SCFMinit (0.3183098861837906715377675267450287)
	1/pi
const T div_2_pi	SCFMinit (0.6366197723675813430755350534900574)
	2/pi
const T div_2_sqrt_pi	SCFMinit (1.1283791670955125738961589031215452)
	2/sqrt(pi)
const T sqrt_2	SCFMinit (1.4142135623730950488016887242096981)
	sqrt(2)
const T div_1_sqrt_2	SCFMinit (0.7071067811865475244008443621048490)
	1/sqrt(2)
const T e	SCFMinit (2.7182818284590452353602874713526625)
	e
const T log2_e	SCFMinit (1.4426950408889634073599246810018921)
	log2(e)
const T log10_e	SCFMinit (0.4342944819032518276511289189166051)
	log10(e)
const T ln_2	SCFMinit (0.6931471805599453094172321214581766)
	ln(2)
const T ln_10	SCFMinit (2.3025850929940456840179914546843642)
	ln(e)
const T div_1_pow_2_31	SCFMinit (1.0/2147483648.0)
	1 / 2^31
const T div_1_pow_2_31m1	SCFMinit (1.0/2147483647.0)
	1 / (2^31-1)
const T div_1_pow_2_32	SCFMinit (1.0/4294967296.0)
	1 / 2^32
const T div_1_pow_2_32m1	SCFMinit (1.0/4294967295.0)
	1 / (2^32-1)
const T div_1_pow_2_53	SCFMinit (1.0/9007199254740992.0)
	1 / 2^53
const T div_1_pow_2_53m1	SCFMinit (1.0/9007199254740991.0)
	1 / (2^53-1)
Public Attributes
T	macheps1
	Machine epsilon: smallest value with 1.0+macheps1>1.0.
T	sqrt_macheps1
	Square root of the above constant (macheps1).
T	macheps1_prec
Static Public Attributes
const T	huge_val = HUGE_VAL
	Positive infinity (if supported) or largest representable value.
const T	max_val = DBL_MAX
	Largest (absolute) representable value. Use -max_val for smallest.
const T	min_val = DBL_MIN
	Smallest (absolute) representable value which is still larger than zero.

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Detailed Description

template<typename T>
struct NUM::FPConst< T >

Floating point constant template class.

This template provides all the necessary floating point constants to be used instead of the defines like M_PI.

Definition at line 98 of file num_math.h.

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Member Function Documentation

template<typename T> const T div_1_pow_2_53m1 NUM::FPConst< T >::SCFMinit (  1.0/9007199254740991.  0  )  [static]

1 / (2^53-1)

template<typename T> const T div_1_pow_2_53 NUM::FPConst< T >::SCFMinit (  1.0/9007199254740992.  0  )  [static]

1 / 2^53

template<typename T> const T div_1_pow_2_32m1 NUM::FPConst< T >::SCFMinit (  1.0/4294967295.  0  )  [static]

1 / (2^32-1)

template<typename T> const T div_1_pow_2_32 NUM::FPConst< T >::SCFMinit (  1.0/4294967296.  0  )  [static]

1 / 2^32

template<typename T> const T div_1_pow_2_31m1 NUM::FPConst< T >::SCFMinit (  1.0/2147483647.  0  )  [static]

1 / (2^31-1)

template<typename T> const T div_1_pow_2_31 NUM::FPConst< T >::SCFMinit (  1.0/2147483648.  0  )  [static]

1 / 2^31

template<typename T> const T ln_10 NUM::FPConst< T >::SCFMinit (  2.  3025850929940456840179914546843642  )  [static]

ln(e)

template<typename T> const T ln_2 NUM::FPConst< T >::SCFMinit (  0.  6931471805599453094172321214581766  )  [static]

ln(2)

template<typename T> const T log10_e NUM::FPConst< T >::SCFMinit (  0.  4342944819032518276511289189166051  )  [static]

log10(e)

template<typename T> const T log2_e NUM::FPConst< T >::SCFMinit (  1.  4426950408889634073599246810018921  )  [static]

log2(e)

template<typename T> const T e NUM::FPConst< T >::SCFMinit (  2.  7182818284590452353602874713526625  )  [static]

e

template<typename T> const T div_1_sqrt_2 NUM::FPConst< T >::SCFMinit (  0.  7071067811865475244008443621048490  )  [static]

1/sqrt(2)

template<typename T> const T sqrt_2 NUM::FPConst< T >::SCFMinit (  1.  4142135623730950488016887242096981  )  [static]

sqrt(2)

template<typename T> const T div_2_sqrt_pi NUM::FPConst< T >::SCFMinit (  1.  1283791670955125738961589031215452  )  [static]

2/sqrt(pi)

template<typename T> const T div_2_pi NUM::FPConst< T >::SCFMinit (  0.  6366197723675813430755350534900574  )  [static]

2/pi

template<typename T> const T div_1_pi NUM::FPConst< T >::SCFMinit (  0.  3183098861837906715377675267450287  )  [static]

1/pi

template<typename T> const T mul_pi_2_3 NUM::FPConst< T >::SCFMinit (  2.  094395102393195492308428922186335  )  [static]

2*pi/3

template<typename T> const T mul_pi_4 NUM::FPConst< T >::SCFMinit (  12.  56637061435917295385057353311801  )  [static]

4*pi

template<typename T> const T mul_pi_3 NUM::FPConst< T >::SCFMinit (  9.  424777960769379715387930149838509  )  [static]

3*pi

template<typename T> const T mul_pi_2 NUM::FPConst< T >::SCFMinit (  6.  283185307179586476925286766559006  )  [static]

2*pi

template<typename T> const T div_pi_4 NUM::FPConst< T >::SCFMinit (  0.  7853981633974483096156608458198757  )  [static]

pi/4

template<typename T> const T div_pi_3 NUM::FPConst< T >::SCFMinit (  1.  047197551196597746154214461093168  )  [static]

pi/3

template<typename T> const T div_pi_2 NUM::FPConst< T >::SCFMinit (  1.  5707963267948966192313216916397514  )  [static]

pi/2

template<typename T> const T pi NUM::FPConst< T >::SCFMinit (  3.  1415926535897932384626433832795029  )  [static]

pi

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Member Data Documentation

template<typename T> const flt NUM::FPConst<>::huge_val = HUGE_VAL [static]

Positive infinity (if supported) or largest representable value. Use "-huge_val" for negative analogon. Definition at line 26 of file fpconst.cc.

template<typename T> T NUM::FPConst< T >::macheps1

Machine epsilon: smallest value with 1.0+macheps1>1.0. Definition at line 101 of file num_math.h.

template<typename T> T NUM::FPConst< T >::macheps1_prec

Precision macheps1: smallest value with 1.0+macheps1_prec>1.0 when vars are in registers. Definition at line 107 of file num_math.h.

template<typename T> const flt NUM::FPConst<>::max_val = DBL_MAX [static]

Largest (absolute) representable value. Use -max_val for smallest. Definition at line 29 of file fpconst.cc.

template<typename T> const flt NUM::FPConst<>::min_val = DBL_MIN [static]

Smallest (absolute) representable value which is still larger than zero. Definition at line 32 of file fpconst.cc.

template<typename T> T NUM::FPConst< T >::sqrt_macheps1

Square root of the above constant (macheps1). Definition at line 103 of file num_math.h.

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The documentation for this struct was generated from the following files:

• /ray/src/lib/numerics/num_math.h
• /ray/src/lib/numerics/fpconst.cc

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