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remove html from std.math
This commit is contained in:
Walter Bright
parent
64c245be69
commit
c997b403e2
1 changed files with 203 additions and 198 deletions
401
std/math.d
401
std/math.d
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@ -1,4 +1,4 @@
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// math.d
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// Written in the D programming language
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/**
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/**
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* Macros:
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* Macros:
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@ -18,6 +18,11 @@
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* POWER = $1<sup>$2</sup>
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* POWER = $1<sup>$2</sup>
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* BIGSUM = $(BIG Σ <sup>$2</sup><sub>$(SMALL $1)</sub>)
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* BIGSUM = $(BIG Σ <sup>$2</sup><sub>$(SMALL $1)</sub>)
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* CHOOSE = $(BIG () <sup>$(SMALL $1)</sup><sub>$(SMALL $2)</sub> $(BIG ))
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* CHOOSE = $(BIG () <sup>$(SMALL $1)</sup><sub>$(SMALL $2)</sub> $(BIG ))
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* PLUSMN = ±
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* INFIN = ∞
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* PI = π
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* LT = <
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* GT = >
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*/
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*/
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/*
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/*
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@ -63,7 +68,7 @@ private import std.c.math;
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class NotImplemented : Error
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class NotImplemented : Error
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{
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{
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this(char[] msg)
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this(string msg)
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{
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{
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super(msg ~ "not implemented");
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super(msg ~ "not implemented");
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}
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}
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@ -76,14 +81,14 @@ const real LOG2 = 0x1.34413509f79fef32p-2; /** log<sub>10</sub>2 */ // 0.30103 f
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const real LOG10E = 0.43429448190325182765; /** log<sub>10</sub>e */
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const real LOG10E = 0.43429448190325182765; /** log<sub>10</sub>e */
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const real LN2 = 0x1.62e42fefa39ef358p-1; /** ln 2 */ // 0.693147 fldln2
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const real LN2 = 0x1.62e42fefa39ef358p-1; /** ln 2 */ // 0.693147 fldln2
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const real LN10 = 2.30258509299404568402; /** ln 10 */
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const real LN10 = 2.30258509299404568402; /** ln 10 */
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const real PI = 0x1.921fb54442d1846ap+1; /** π */ // 3.14159 fldpi
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const real PI = 0x1.921fb54442d1846ap+1; /** $(PI) */ // 3.14159 fldpi
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const real PI_2 = 1.57079632679489661923; /** π / 2 */
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const real PI_2 = 1.57079632679489661923; /** $(PI) / 2 */
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const real PI_4 = 0.78539816339744830962; /** π / 4 */
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const real PI_4 = 0.78539816339744830962; /** $(PI) / 4 */
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const real M_1_PI = 0.31830988618379067154; /** 1 / π */
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const real M_1_PI = 0.31830988618379067154; /** 1 / $(PI) */
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const real M_2_PI = 0.63661977236758134308; /** 2 / π */
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const real M_2_PI = 0.63661977236758134308; /** 2 / $(PI) */
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const real M_2_SQRTPI = 1.12837916709551257390; /** 2 / √π */
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const real M_2_SQRTPI = 1.12837916709551257390; /** 2 / √$(PI) */
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const real SQRT2 = 1.41421356237309504880; /** √2 */
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const real SQRT2 = 1.41421356237309504880; /** √2 */
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const real SQRT1_2 = 0.70710678118654752440; /** √½ */
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const real SQRT1_2 = 0.70710678118654752440; /** √½ */
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/*
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/*
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Octal versions:
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Octal versions:
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@ -178,9 +183,9 @@ unittest
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* Returns cosine of x. x is in radians.
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* Returns cosine of x. x is in radians.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* $(TR $(TH x) $(TH cos(x)) $(TH invalid?) )
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* $(TR $(TH x) $(TH cos(x)) $(TH invalid?))
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* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes) )
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* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes) )
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* $(TR $(TD ±∞) $(TD $(NAN)) $(TD yes) )
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD yes) )
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* )
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* )
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* Bugs:
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* Bugs:
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* Results are undefined if |x| >= $(POWER 2,64).
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* Results are undefined if |x| >= $(POWER 2,64).
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@ -192,10 +197,10 @@ real cos(real x); /* intrinsic */
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* Returns sine of x. x is in radians.
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* Returns sine of x. x is in radians.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> sin(x) <th>invalid?
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* $(TR $(TH x) $(TH sin(x)) $(TH invalid?))
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* <tr> <td> $(NAN) <td> $(NAN) <td> yes
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* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no))
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* <tr> <td> ±∞ <td> $(NAN) <td> yes
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD yes))
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* )
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* )
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* Bugs:
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* Bugs:
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* Results are undefined if |x| >= $(POWER 2,64).
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* Results are undefined if |x| >= $(POWER 2,64).
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@ -208,10 +213,10 @@ real sin(real x); /* intrinsic */
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* Returns tangent of x. x is in radians.
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* Returns tangent of x. x is in radians.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> tan(x) <th> invalid?
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* $(TR $(TH x) $(TH tan(x)) $(TH invalid?))
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* <tr> <td> $(NAN) <td> $(NAN) <td> yes
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* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no))
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* <tr> <td> ±∞ <td> $(NAN) <td> yes
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD yes))
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* )
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* )
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*/
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*/
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@ -307,61 +312,61 @@ unittest
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/***************
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/***************
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* Calculates the arc cosine of x,
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* Calculates the arc cosine of x,
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* returning a value ranging from -π/2 to π/2.
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* returning a value ranging from -$(PI)/2 to $(PI)/2.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> acos(x) <th> invalid?
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* $(TR $(TH x) $(TH acos(x)) $(TH invalid?))
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* <tr> <td> >1.0 <td> $(NAN) <td> yes
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* $(TR $(TD $(GT)1.0) $(TD $(NAN)) $(TD yes))
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* <tr> <td> <-1.0 <td> $(NAN) <td> yes
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* $(TR $(TD $(LT)-1.0) $(TD $(NAN)) $(TD yes))
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* <tr> <td> $(NAN) <td> $(NAN) <td> yes
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* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes))
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* )
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* )
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*/
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*/
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real acos(real x) { return std.c.math.acosl(x); }
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real acos(real x) { return std.c.math.acosl(x); }
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/***************
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/***************
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* Calculates the arc sine of x,
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* Calculates the arc sine of x,
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* returning a value ranging from -π/2 to π/2.
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* returning a value ranging from -$(PI)/2 to $(PI)/2.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> asin(x) <th> invalid?
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* $(TR $(TH x) $(TH asin(x)) $(TH invalid?))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no))
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* <tr> <td> >1.0 <td> $(NAN) <td> yes
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* $(TR $(TD $(GT)1.0) $(TD $(NAN)) $(TD yes))
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* <tr> <td> <-1.0 <td> $(NAN) <td> yes
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* $(TR $(TD $(LT)-1.0) $(TD $(NAN)) $(TD yes))
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* )
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* )
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*/
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*/
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real asin(real x) { return std.c.math.asinl(x); }
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real asin(real x) { return std.c.math.asinl(x); }
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/***************
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/***************
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* Calculates the arc tangent of x,
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* Calculates the arc tangent of x,
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* returning a value ranging from -π/2 to π/2.
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* returning a value ranging from -$(PI)/2 to $(PI)/2.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> atan(x) <th> invalid?
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* $(TR $(TH x) $(TH atan(x)) $(TH invalid?))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no))
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* <tr> <td> ±∞ <td> $(NAN) <td> yes
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD yes))
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* )
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* )
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*/
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*/
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real atan(real x) { return std.c.math.atanl(x); }
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real atan(real x) { return std.c.math.atanl(x); }
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/***************
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/***************
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* Calculates the arc tangent of y / x,
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* Calculates the arc tangent of y / x,
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* returning a value ranging from -π/2 to π/2.
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* returning a value ranging from -$(PI)/2 to $(PI)/2.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> y <th> x <th> atan(y, x)
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* $(TR $(TH y) $(TH x) $(TH atan(y, x)))
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* <tr> <td> $(NAN) <td> anything <td> $(NAN)
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* $(TR $(TD $(NAN)) $(TD anything) $(TD $(NAN)) )
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* <tr> <td> anything <td> $(NAN) <td> $(NAN)
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* $(TR $(TD anything) $(TD $(NAN)) $(TD $(NAN)) )
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* <tr> <td> ±0.0 <td> > 0.0 <td> ±0.0
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(GT)0.0) $(TD $(PLUSMN)0.0) )
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* <tr> <td> ±0.0 <td> ±0.0 <td> ±0.0
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) )
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* <tr> <td> ±0.0 <td> < 0.0 <td> ±π
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(LT)0.0) $(TD $(PLUSMN)$(PI)))
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* <tr> <td> ±0.0 <td> -0.0 <td> ±π
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* $(TR $(TD $(PLUSMN)0.0) $(TD -0.0) $(TD $(PLUSMN)$(PI)))
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* <tr> <td> > 0.0 <td> ±0.0 <td> π/2
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* $(TR $(TD $(GT)0.0) $(TD $(PLUSMN)0.0) $(TD $(PI)/2) )
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* <tr> <td> < 0.0 <td> ±0.0 <td> π/2
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* $(TR $(TD $(LT)0.0) $(TD $(PLUSMN)0.0) $(TD $(PI)/2))
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* <tr> <td> > 0.0 <td> ∞ <td> ±0.0
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* $(TR $(TD $(GT)0.0) $(TD $(INFIN)) $(TD $(PLUSMN)0.0) )
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* <tr> <td> ±∞ <td> anything <td> ±π/2
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD anything) $(TD $(PLUSMN)$(PI)/2))
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* <tr> <td> > 0.0 <td> -∞ <td> ±π
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* $(TR $(TD $(GT)0.0) $(TD -$(INFIN)) $(TD $(PLUSMN)$(PI)) )
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* <tr> <td> ±∞ <td> ∞ <td> ±π/4
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(INFIN)) $(TD $(PLUSMN)$(PI)/4))
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* <tr> <td> ±∞ <td> -∞ <td> ±3π/4
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD -$(INFIN)) $(TD $(PLUSMN)3$(PI)/4))
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* )
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* )
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*/
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*/
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real atan2(real y, real x) { return std.c.math.atan2l(y,x); }
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real atan2(real y, real x) { return std.c.math.atan2l(y,x); }
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@ -370,8 +375,8 @@ real atan2(real y, real x) { return std.c.math.atan2l(y,x); }
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* Calculates the hyperbolic cosine of x.
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* Calculates the hyperbolic cosine of x.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> cosh(x) <th> invalid?
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* $(TR $(TH x) $(TH cosh(x)) $(TH invalid?))
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* <tr> <td> ±∞ <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)0.0) $(TD no) )
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* )
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* )
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*/
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*/
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real cosh(real x) { return std.c.math.coshl(x); }
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real cosh(real x) { return std.c.math.coshl(x); }
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@ -380,9 +385,9 @@ real cosh(real x) { return std.c.math.coshl(x); }
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* Calculates the hyperbolic sine of x.
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* Calculates the hyperbolic sine of x.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> sinh(x) <th> invalid?
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* $(TR $(TH x) $(TH sinh(x)) $(TH invalid?))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no))
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* <tr> <td> ±∞ <td> ±∞ <td> no
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)$(INFIN)) $(TD no))
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* )
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* )
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*/
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*/
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real sinh(real x) { return std.c.math.sinhl(x); }
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real sinh(real x) { return std.c.math.sinhl(x); }
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@ -391,9 +396,9 @@ real sinh(real x) { return std.c.math.sinhl(x); }
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* Calculates the hyperbolic tangent of x.
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* Calculates the hyperbolic tangent of x.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> tanh(x) <th> invalid?
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* $(TR $(TH x) $(TH tanh(x)) $(TH invalid?))
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* <tr> <td> ±0.0 <td> ±0.0 <td> no
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* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no) )
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* <tr> <td> ±∞ <td> ±1.0 <td> no
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* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)1.0) $(TD no))
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* )
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* )
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*/
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*/
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real tanh(real x) { return std.c.math.tanhl(x); }
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real tanh(real x) { return std.c.math.tanhl(x); }
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@ -408,14 +413,14 @@ real tanh(real x) { return std.c.math.tanhl(x); }
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* Mathematically, acosh(x) = log(x + sqrt( x*x - 1))
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* Mathematically, acosh(x) = log(x + sqrt( x*x - 1))
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*
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*
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* $(TABLE_DOMRG
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* $(TABLE_DOMRG
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* $(DOMAIN 1..∞)
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* $(DOMAIN 1..$(INFIN))
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* $(RANGE 1..log(real.max), ∞) )
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* $(RANGE 1..log(real.max), $(INFIN)) )
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* $(TABLE_SV
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* $(TABLE_SV
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* $(SVH x, acosh(x) )
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* $(SVH x, acosh(x) )
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* $(SV $(NAN), $(NAN) )
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* $(SV $(NAN), $(NAN) )
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* $(SV <1, $(NAN) )
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* $(SV <1, $(NAN) )
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* $(SV 1, 0 )
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* $(SV 1, 0 )
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* $(SV +∞,+∞)
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* $(SV +$(INFIN),+$(INFIN))
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* )
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* )
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*/
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*/
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real acosh(real x)
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real acosh(real x)
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@ -444,10 +449,10 @@ unittest
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* -------------
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* -------------
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* $(SVH x, asinh(x) )
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* $(SVH x, asinh(x) )
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* $(SV $(NAN), $(NAN) )
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* $(SV $(NAN), $(NAN) )
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* $(SV ±0, ±0 )
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* $(SV $(PLUSMN)0, $(PLUSMN)0 )
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* $(SV ±∞,±∞)
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* $(SV $(PLUSMN)$(INFIN),$(PLUSMN)$(INFIN))
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* )
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* )
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*/
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*/
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real asinh(real x)
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real asinh(real x)
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@ -478,13 +483,13 @@ unittest
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*
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*
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*
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*
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* $(TABLE_DOMRG
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* $(TABLE_DOMRG
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* $(DOMAIN -∞..∞)
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* $(DOMAIN -$(INFIN)..$(INFIN))
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* $(RANGE -1..1) )
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* $(RANGE -1..1) )
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* $(TABLE_SV
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* $(TABLE_SV
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* $(SVH x, acosh(x) )
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* $(SVH x, acosh(x) )
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* $(SV $(NAN), $(NAN) )
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* $(SV $(NAN), $(NAN) )
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* $(SV ±0, ±0)
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* $(SV $(PLUSMN)0, $(PLUSMN)0)
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* $(SV -∞, -0)
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* $(SV -$(INFIN), -0)
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* )
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* )
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*/
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*/
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real atanh(real x)
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real atanh(real x)
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@ -522,10 +527,10 @@ extern (C) real rndtonl(real x);
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* Compute square root of x.
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* Compute square root of x.
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*
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*
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* $(TABLE_SV
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* $(TABLE_SV
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* <tr> <th> x <th> sqrt(x) <th> invalid?
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* $(TR $(TH x) $(TH sqrt(x)) $(TH invalid?))
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* <tr> <td> -0.0 <td> -0.0 <td> no
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* $(TR $(TD -0.0) $(TD -0.0) $(TD no))
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* <tr> <td> <0.0 <td> $(NAN) <td> yes
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* $(TR $(TD $(LT)0.0) $(TD $(NAN)) $(TD yes))
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* <tr> <td> +∞ <td> +∞ <td> no
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* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no))
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||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -577,9 +582,9 @@ creal sqrt(creal z)
|
||||||
* Calculates e$(SUP x).
|
* Calculates e$(SUP x).
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> exp(x)
|
* $(TR $(TH x) $(TH exp(x)))
|
||||||
* <tr> <td> +∞ <td> +∞
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) )
|
||||||
* <tr> <td> -∞ <td> +0.0
|
* $(TR $(TD -$(INFIN)) $(TD +0.0) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real exp(real x) { return std.c.math.expl(x); }
|
real exp(real x) { return std.c.math.expl(x); }
|
||||||
|
|
@ -588,9 +593,9 @@ real exp(real x) { return std.c.math.expl(x); }
|
||||||
* Calculates 2$(SUP x).
|
* Calculates 2$(SUP x).
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> exp2(x)
|
* $(TR $(TH x) $(TH exp2(x)))
|
||||||
* <tr> <td> +∞ <td> +∞
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)))
|
||||||
* <tr> <td> -∞ <td> +0.0
|
* $(TR $(TD -$(INFIN)) $(TD +0.0))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real exp2(real x) { return std.c.math.exp2l(x); }
|
real exp2(real x) { return std.c.math.exp2l(x); }
|
||||||
|
|
@ -603,10 +608,10 @@ real exp2(real x) { return std.c.math.exp2l(x); }
|
||||||
* than exp(x)-1.
|
* than exp(x)-1.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> e$(SUP x)-1
|
* $(TR $(TH x) $(TH e$(SUP x)-1))
|
||||||
* <tr> <td> ±0.0 <td> ±0.0
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0))
|
||||||
* <tr> <td> +∞ <td> +∞
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)))
|
||||||
* <tr> <td> -∞ <td> -1.0
|
* $(TR $(TD -$(INFIN)) $(TD -1.0))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -619,15 +624,15 @@ real expm1(real x) { return std.c.math.expm1l(x); }
|
||||||
* Returns:
|
* Returns:
|
||||||
* Calculate and return <i>x</i> and exp such that
|
* Calculate and return <i>x</i> and exp such that
|
||||||
* value =<i>x</i>*2$(SUP exp) and
|
* value =<i>x</i>*2$(SUP exp) and
|
||||||
* .5 <= |<i>x</i>| < 1.0<br>
|
* .5 $(LT)= |<i>x</i>| $(LT) 1.0<br>
|
||||||
* <i>x</i> has same sign as value.
|
* <i>x</i> has same sign as value.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> value <th> returns <th> exp
|
* $(TR $(TH value) $(TH returns) $(TH exp))
|
||||||
* <tr> <td> ±0.0 <td> ±0.0 <td> 0
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD 0))
|
||||||
* <tr> <td> +∞ <td> +∞ <td> int.max
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD int.max))
|
||||||
* <tr> <td> -∞ <td> -∞ <td> int.min
|
* $(TR $(TD -$(INFIN)) $(TD -$(INFIN)) $(TD int.min))
|
||||||
* <tr> <td> ±$(NAN) <td> ±$(NAN) <td> int.min
|
* $(TR $(TD $(PLUSMN)$(NAN)) $(TD $(PLUSMN)$(NAN)) $(TD int.min))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -731,10 +736,10 @@ unittest
|
||||||
* <tt>cast(int)logb(x)</tt>.
|
* <tt>cast(int)logb(x)</tt>.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th>ilogb(x) <th> Range error?
|
* $(TR $(TH x) $(TH ilogb(x)) $(TH Range error?))
|
||||||
* <tr> <td> 0 <td> FP_ILOGB0 <td> yes
|
* $(TR $(TD 0) $(TD FP_ILOGB0) $(TD yes))
|
||||||
* <tr> <td> ±∞ <td> int.max <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD int.max) $(TD no))
|
||||||
* <tr> <td> $(NAN) <td> FP_ILOGBNAN <td> no
|
* $(TR $(TD $(NAN)) $(TD FP_ILOGBNAN) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
int ilogb(real x) { return std.c.math.ilogbl(x); }
|
int ilogb(real x) { return std.c.math.ilogbl(x); }
|
||||||
|
|
@ -754,10 +759,10 @@ real ldexp(real n, int exp); /* intrinsic */
|
||||||
* Calculate the natural logarithm of x.
|
* Calculate the natural logarithm of x.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> log(x) <th> divide by 0? <th> invalid?
|
* $(TR $(TH x) $(TH log(x)) $(TH divide by 0?) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> -∞ <td> yes <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD -$(INFIN)) $(TD yes) $(TD no))
|
||||||
* <tr> <td> < 0.0 <td> $(NAN) <td> no <td> yes
|
* $(TR $(TD $(LT)0.0) $(TD $(NAN)) $(TD no) $(TD yes))
|
||||||
* <tr> <td> +∞ <td> +∞ <td> no <td> no
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -767,10 +772,10 @@ real log(real x) { return std.c.math.logl(x); }
|
||||||
* Calculate the base-10 logarithm of x.
|
* Calculate the base-10 logarithm of x.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> log10(x) <th> divide by 0? <th> invalid?
|
* $(TR $(TH x) $(TH log10(x)) $(TH divide by 0?) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> -∞ <td> yes <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD -$(INFIN)) $(TD yes) $(TD no))
|
||||||
* <tr> <td> < 0.0 <td> $(NAN) <td> no <td> yes
|
* $(TR $(TD $(LT)0.0) $(TD $(NAN)) $(TD no) $(TD yes))
|
||||||
* <tr> <td> +∞ <td> +∞ <td> no <td> no
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -783,11 +788,11 @@ real log10(real x) { return std.c.math.log10l(x); }
|
||||||
* log(1 + x).
|
* log(1 + x).
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> log1p(x) <th> divide by 0? <th> invalid?
|
* $(TR $(TH x) $(TH log1p(x)) $(TH divide by 0?) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> ±0.0 <td> no <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no) $(TD no))
|
||||||
* <tr> <td> -1.0 <td> -∞ <td> yes <td> no
|
* $(TR $(TD -1.0) $(TD -$(INFIN)) $(TD yes) $(TD no))
|
||||||
* <tr> <td> <-1.0 <td> $(NAN) <td> no <td> yes
|
* $(TR $(TD $(LT)-1.0) $(TD $(NAN)) $(TD no) $(TD yes))
|
||||||
* <tr> <td> +∞ <td> -∞ <td> no <td> no
|
* $(TR $(TD +$(INFIN)) $(TD -$(INFIN)) $(TD no) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -798,10 +803,10 @@ real log1p(real x) { return std.c.math.log1pl(x); }
|
||||||
* log<sub>2</sub>x
|
* log<sub>2</sub>x
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> log2(x) <th> divide by 0? <th> invalid?
|
* $(TR $(TH x) $(TH log2(x)) $(TH divide by 0?) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> -∞ <td> yes <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD -$(INFIN)) $(TD yes) $(TD no) )
|
||||||
* <tr> <td> < 0.0 <td> $(NAN) <td> no <td> yes
|
* $(TR $(TD $(LT)0.0) $(TD $(NAN)) $(TD no) $(TD yes) )
|
||||||
* <tr> <td> +∞ <td> +∞ <td> no <td> no
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no) $(TD no) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real log2(real x) { return std.c.math.log2l(x); }
|
real log2(real x) { return std.c.math.log2l(x); }
|
||||||
|
|
@ -817,9 +822,9 @@ real log2(real x) { return std.c.math.log2l(x); }
|
||||||
* -----
|
* -----
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> logb(x) <th> Divide by 0?
|
* $(TR $(TH x) $(TH logb(x)) $(TH divide by 0?) )
|
||||||
* <tr> <td> ±∞ <td> +∞ <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD +$(INFIN)) $(TD no))
|
||||||
* <tr> <td> ±0.0 <td> -∞ <td> yes
|
* $(TR $(TD $(PLUSMN)0.0) $(TD -$(INFIN)) $(TD yes) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real logb(real x) { return std.c.math.logbl(x); }
|
real logb(real x) { return std.c.math.logbl(x); }
|
||||||
|
|
@ -831,11 +836,11 @@ real logb(real x) { return std.c.math.logbl(x); }
|
||||||
* be completely subtracted from x. The result has the same sign as x.
|
* be completely subtracted from x. The result has the same sign as x.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> y <th> modf(x, y) <th> invalid?
|
* $(TR $(TH x) $(TH y) $(TH modf(x, y)) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> not 0.0 <td> ±0.0 <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD no)t 0.0 $(TD $(PLUSMN)0.0) $(TD no))
|
||||||
* <tr> <td> ±∞ <td> anything <td> $(NAN) <td> yes
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD anything) $(TD $(NAN)) $(TD yes))
|
||||||
* <tr> <td> anything <td> ±0.0 <td> $(NAN) <td> yes
|
* $(TR $(TD anything) $(TD $(PLUSMN)0.0) $(TD $(NAN)) $(TD yes))
|
||||||
* <tr> <td> !=±∞ <td> ±∞ <td> x <td> no
|
* $(TR $(TD !=$(PLUSMN)$(INFIN)) $(TD $(PLUSMN)$(INFIN)) $(TD x) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real modf(real x, inout real y) { return std.c.math.modfl(x,&y); }
|
real modf(real x, inout real y) { return std.c.math.modfl(x,&y); }
|
||||||
|
|
@ -847,9 +852,9 @@ real modf(real x, inout real y) { return std.c.math.modfl(x,&y); }
|
||||||
* the same fashion as the basic arithmetic operators.
|
* the same fashion as the basic arithmetic operators.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> scalb(x)
|
* $(TR $(TH x) $(TH scalb(x)))
|
||||||
* <tr> <td> ±∞ <td> ±∞
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)$(INFIN)) )
|
||||||
* <tr> <td> ±0.0 <td> ±0.0
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real scalbn(real x, int n)
|
real scalbn(real x, int n)
|
||||||
|
|
@ -864,10 +869,10 @@ real scalbn(real x, int n)
|
||||||
* Calculates the cube root x.
|
* Calculates the cube root x.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> <i>x</i> <th> cbrt(x) <th> invalid?
|
* $(TR $(TH $(I x)) $(TH cbrt(x)) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> ±0.0 <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)0.0) $(TD no) )
|
||||||
* <tr> <td> $(NAN) <td> $(NAN) <td> yes
|
* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes) )
|
||||||
* <tr> <td> ±∞ <td> ±∞ <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)$(INFIN)) $(TD no) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real cbrt(real x) { return std.c.math.cbrtl(x); }
|
real cbrt(real x) { return std.c.math.cbrtl(x); }
|
||||||
|
|
@ -877,9 +882,9 @@ real cbrt(real x) { return std.c.math.cbrtl(x); }
|
||||||
* Returns |x|
|
* Returns |x|
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> fabs(x)
|
* $(TR $(TH x) $(TH fabs(x)))
|
||||||
* <tr> <td> ±0.0 <td> +0.0
|
* $(TR $(TD $(PLUSMN)0.0) $(TD +0.0) )
|
||||||
* <tr> <td> ±∞ <td> +∞
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD +$(INFIN)) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real fabs(real x); /* intrinsic */
|
real fabs(real x); /* intrinsic */
|
||||||
|
|
@ -897,10 +902,10 @@ real fabs(real x); /* intrinsic */
|
||||||
* hypot(x, -y) are equivalent.
|
* hypot(x, -y) are equivalent.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> y <th> hypot(x, y) <th> invalid?
|
* $(TR $(TH x) $(TH y) $(TH hypot(x, y)) $(TH invalid?))
|
||||||
* <tr> <td> x <td> ±0.0 <td> |x| <td> no
|
* $(TR $(TD x) $(TD $(PLUSMN)0.0) $(TD |x|) $(TD no))
|
||||||
* <tr> <td> ±∞ <td> y <td> +∞ <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD y) $(TD +$(INFIN)) $(TD no))
|
||||||
* <tr> <td> ±∞ <td> $(NAN) <td> +∞ <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD +$(INFIN)) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -1028,10 +1033,10 @@ real erfc(real x) { return std.c.math.erfcl(x); }
|
||||||
* For reals, lgamma is equivalent to log(fabs(gamma(x))).
|
* For reals, lgamma is equivalent to log(fabs(gamma(x))).
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> lgamma(x) <th>invalid?
|
* $(TR $(TH x) $(TH lgamma(x)) $(TH invalid?))
|
||||||
* <tr> <td> $(NAN) <td> $(NAN) <td> yes
|
* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes))
|
||||||
* <tr> <td> integer <= 0 <td> +∞ <td> yes
|
* $(TR $(TD integer <= 0) $(TD +$(INFIN)) $(TD yes))
|
||||||
* <tr> <td> ±∞ <td> +∞ <td> no
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD +$(INFIN)) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
/* Documentation prepared by Don Clugston */
|
/* Documentation prepared by Don Clugston */
|
||||||
|
|
@ -1050,16 +1055,16 @@ real lgamma(real x)
|
||||||
* Like x!, $(GAMMA)(x+1) = x*$(GAMMA)(x).
|
* Like x!, $(GAMMA)(x+1) = x*$(GAMMA)(x).
|
||||||
*
|
*
|
||||||
* Mathematically, if z.re > 0 then
|
* Mathematically, if z.re > 0 then
|
||||||
* $(GAMMA)(z) =<big>$(INTEGRAL)<sub><small>0</small></sub><sup>∞</sup></big>t<sup>z-1</sup>e<sup>-t</sup>dt
|
* $(GAMMA)(z) =<big>$(INTEGRAL)<sub><small>0</small></sub><sup>$(INFIN)</sup></big>t<sup>z-1</sup>e<sup>-t</sup>dt
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> $(GAMMA)(x) <th>invalid?
|
* $(TR $(TH x) $(TH $(GAMMA)(x)) $(TH invalid?))
|
||||||
* <tr> <td> $(NAN) <td> $(NAN) <td> yes
|
* $(TR $(TD $(NAN)) $(TD $(NAN)) $(TD yes))
|
||||||
* <tr> <td> ±0.0 <td> ±∞ <td> yes
|
* $(TR $(TD $(PLUSMN)0.0) $(TD $(PLUSMN)$(INFIN)) $(TD yes))
|
||||||
* <tr> <td> integer > 0 <td> (x-1)! <td> no
|
* $(TR $(TD integer $(GT)0) $(TD (x-1)!) $(TD no))
|
||||||
* <tr> <td> integer < 0 <td> $(NAN) <td> yes
|
* $(TR $(TD integer $(LT)0) $(TD $(NAN)) $(TD yes))
|
||||||
* <tr> <td> +∞ <td> +∞ <td> no
|
* $(TR $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no))
|
||||||
* <tr> <td> -∞ <td> $(NAN) <td> yes
|
* $(TR $(TD -$(INFIN)) $(TD $(NAN)) $(TD yes))
|
||||||
* )
|
* )
|
||||||
*
|
*
|
||||||
* References:
|
* References:
|
||||||
|
|
@ -1153,16 +1158,16 @@ real trunc(real x) { return std.c.math.truncl(x); }
|
||||||
* If |n - x / y| == 0.5, n is even.
|
* If |n - x / y| == 0.5, n is even.
|
||||||
* If the result is zero, it has the same sign as x.
|
* If the result is zero, it has the same sign as x.
|
||||||
* Otherwise, the sign of the result is the sign of x / y.
|
* Otherwise, the sign of the result is the sign of x / y.
|
||||||
* Precision mode has no affect on the remainder functions.
|
* Precision mode has no effect on the remainder functions.
|
||||||
*
|
*
|
||||||
* remquo returns n in the parameter n.
|
* remquo returns n in the parameter n.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> y <th> remainder(x, y) <th> n <th> invalid?
|
* $(TR $(TH x) $(TH y) $(TH remainder(x, y)) $(TH n) $(TH invalid?))
|
||||||
* <tr> <td> ±0.0 <td> not 0.0 <td> ±0.0 <td> 0.0 <td> no
|
* $(TR $(TD $(PLUSMN)0.0) $(TD no)t 0.0 $(TD $(PLUSMN)0.0) $(TD 0.0) $(TD no))
|
||||||
* <tr> <td> ±∞ <td> anything <td> $(NAN) <td> ? <td> yes
|
* $(TR $(TD $(PLUSMN)$(INFIN)) $(TD anything) $(TD $(NAN)) $(TD ?) $(TD yes))
|
||||||
* <tr> <td> anything <td> ±0.0 <td> $(NAN) <td> ? <td> yes
|
* $(TR $(TD anything) $(TD $(PLUSMN)0.0) $(TD $(NAN)) $(TD ?) $(TD yes))
|
||||||
* <tr> <td> != ±∞ <td> ±∞ <td> x <td> ? <td> no
|
* $(TR $(TD != $(PLUSMN)$(INFIN)) $(TD $(PLUSMN)$(INFIN)) $(TD x) $(TD ?) $(TD no))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
real remainder(real x, real y) { return std.c.math.remainderl(x, y); }
|
real remainder(real x, real y) { return std.c.math.remainderl(x, y); }
|
||||||
|
|
@ -1328,7 +1333,7 @@ unittest
|
||||||
}
|
}
|
||||||
|
|
||||||
/*********************************
|
/*********************************
|
||||||
* Return !=0 if e is ±∞.
|
* Return !=0 if e is $(PLUSMN)$(INFIN).
|
||||||
*/
|
*/
|
||||||
|
|
||||||
int isinf(real e)
|
int isinf(real e)
|
||||||
|
|
@ -1416,8 +1421,8 @@ real nan(char[] tagp) { return std.c.math.nanl(toStringz(tagp)); }
|
||||||
/******************************************
|
/******************************************
|
||||||
* Calculates the next representable value after x in the direction of y.
|
* Calculates the next representable value after x in the direction of y.
|
||||||
*
|
*
|
||||||
* If y > x, the result will be the next largest floating-point value;
|
* If y $(GT) x, the result will be the next largest floating-point value;
|
||||||
* if y < x, the result will be the next smallest value.
|
* if y $(LT) x, the result will be the next smallest value.
|
||||||
* If x == y, the result is y.
|
* If x == y, the result is y.
|
||||||
* The FE_INEXACT and FE_OVERFLOW exceptions will be raised if x is finite and
|
* The FE_INEXACT and FE_OVERFLOW exceptions will be raised if x is finite and
|
||||||
* the function result is infinite. The FE_INEXACT and FE_UNDERFLOW
|
* the function result is infinite. The FE_INEXACT and FE_UNDERFLOW
|
||||||
|
|
@ -1437,11 +1442,11 @@ real nextafter(real x, real y)
|
||||||
/*******************************************
|
/*******************************************
|
||||||
* Returns the positive difference between x and y.
|
* Returns the positive difference between x and y.
|
||||||
* Returns:
|
* Returns:
|
||||||
* <table border=1 cellpadding=4 cellspacing=0>
|
* $(TABLE_SV
|
||||||
* <tr> <th> x, y <th> fdim(x, y)
|
* $(TR $(TH x, y) $(TH fdim(x, y)))
|
||||||
* <tr> <td> x > y <td> x - y
|
* $(TR $(TD x $(GT) y) $(TD x - y))
|
||||||
* <tr> <td> x <= y <td> +0.0
|
* $(TR $(TD x $(LT)= y) $(TD +0.0))
|
||||||
* </table>
|
* )
|
||||||
*/
|
*/
|
||||||
real fdim(real x, real y) { return (x > y) ? x - y : +0.0; }
|
real fdim(real x, real y) { return (x > y) ? x - y : +0.0; }
|
||||||
|
|
||||||
|
|
@ -1513,42 +1518,42 @@ real pow(real x, int n)
|
||||||
* Calculates x$(SUP y).
|
* Calculates x$(SUP y).
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr>
|
* $(TR
|
||||||
* <th> x <th> y <th> pow(x, y) <th> div 0 <th> invalid?
|
* $(TH x) $(TH y) $(TH pow(x, y)) $(TH div 0) $(TH invalid?))
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> anything <td> ±0.0 <td> 1.0 <td> no <td> no
|
* $(TD anything) $(TD $(PLUSMN)0.0) $(TD 1.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> |x| > 1 <td> +∞ <td> +∞ <td> no <td> no
|
* $(TD |x| $(GT) 1) $(TD +$(INFIN)) $(TD +$(INFIN)) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> |x| < 1 <td> +∞ <td> +0.0 <td> no <td> no
|
* $(TD |x| $(LT) 1) $(TD +$(INFIN)) $(TD +0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> |x| > 1 <td> -∞ <td> +0.0 <td> no <td> no
|
* $(TD |x| $(GT) 1) $(TD -$(INFIN)) $(TD +0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> |x| < 1 <td> -∞ <td> +∞ <td> no <td> no
|
* $(TD |x| $(LT) 1) $(TD -$(INFIN)) $(TD +$(INFIN)) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> +∞ <td> > 0.0 <td> +∞ <td> no <td> no
|
* $(TD +$(INFIN)) $(TD $(GT) 0.0) $(TD +$(INFIN)) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> +∞ <td> < 0.0 <td> +0.0 <td> no <td> no
|
* $(TD +$(INFIN)) $(TD $(LT) 0.0) $(TD +0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> -∞ <td> odd integer > 0.0 <td> -∞ <td> no <td> no
|
* $(TD -$(INFIN)) $(TD odd integer $(GT) 0.0) $(TD -$(INFIN)) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> -∞ <td> > 0.0, not odd integer <td> +∞ <td> no <td> no
|
* $(TD -$(INFIN)) $(TD $(GT) 0.0, not odd integer) $(TD +$(INFIN)) $(TD no) $(TD no))
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> -∞ <td> odd integer < 0.0 <td> -0.0 <td> no <td> no
|
* $(TD -$(INFIN)) $(TD odd integer $(LT) 0.0) $(TD -0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> -∞ <td> < 0.0, not odd integer <td> +0.0 <td> no <td> no
|
* $(TD -$(INFIN)) $(TD $(LT) 0.0, not odd integer) $(TD +0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> ±1.0 <td> ±∞ <td> $(NAN) <td> no <td> yes
|
* $(TD $(PLUSMN)1.0) $(TD $(PLUSMN)$(INFIN)) $(TD $(NAN)) $(TD no) $(TD yes) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> < 0.0 <td> finite, nonintegral <td> $(NAN) <td> no <td> yes
|
* $(TD $(LT) 0.0) $(TD finite, nonintegral) $(TD $(NAN)) $(TD no) $(TD yes))
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> ±0.0 <td> odd integer < 0.0 <td> ±∞ <td> yes <td> no
|
* $(TD $(PLUSMN)0.0) $(TD odd integer $(LT) 0.0) $(TD $(PLUSMN)$(INFIN)) $(TD yes) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> ±0.0 <td> < 0.0, not odd integer <td> +∞ <td> yes <td> no
|
* $(TD $(PLUSMN)0.0) $(TD $(LT) 0.0, not odd integer) $(TD +$(INFIN)) $(TD yes) $(TD no))
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> ±0.0 <td> odd integer > 0.0 <td> ±0.0 <td> no <td> no
|
* $(TD $(PLUSMN)0.0) $(TD odd integer $(GT) 0.0) $(TD $(PLUSMN)0.0) $(TD no) $(TD no) )
|
||||||
* <tr>
|
* $(TR
|
||||||
* <td> ±0.0 <td> > 0.0, not odd integer <td> +0.0 <td> no <td> no
|
* $(TD $(PLUSMN)0.0) $(TD $(GT) 0.0, not odd integer) $(TD +0.0) $(TD no) $(TD no) )
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
@ -1696,12 +1701,12 @@ bool isNegZero(real x)
|
||||||
* eg, 0x1.F8p+60 and 0x1.F1p+60 are equal to 5 bits of precision.
|
* eg, 0x1.F8p+60 and 0x1.F1p+60 are equal to 5 bits of precision.
|
||||||
*
|
*
|
||||||
* $(TABLE_SV
|
* $(TABLE_SV
|
||||||
* <tr> <th> x <th> y <th> feqrel(x, y)
|
* $(TR $(TH x) $(TH y) $(TH feqrel(x, y)))
|
||||||
* <tr> <td> x <td> x <td> real.mant_dig
|
* $(TR $(TD x) $(TD x) $(TD real.mant_dig))
|
||||||
* <tr> <td> x <td> >= 2*x <td> 0
|
* $(TR $(TD x) $(TD $(GT)= 2*x) $(TD 0))
|
||||||
* <tr> <td> x <td> <= x/2 <td> 0
|
* $(TR $(TD x) $(TD $(LT)= x/2) $(TD 0))
|
||||||
* <tr> <td> $(NAN) <td> any <td> 0
|
* $(TR $(TD $(NAN)) $(TD any) $(TD 0))
|
||||||
* <tr> <td> any <td> $(NAN) <td> 0
|
* $(TR $(TD any) $(TD $(NAN)) $(TD 0))
|
||||||
* )
|
* )
|
||||||
*/
|
*/
|
||||||
|
|
||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue