NAME
SPVM::Math - SPVM Math Functions
CAUTHION
SPVM is yet before 1.0 released. SPVM is changed without warnings. There will be quite a lot of changes until I feel enough good.
SYNOPSYS
Perl
use SPVM 'Math';
my $sin = SPVM::Math->sin(SPVM::Math->PI / 4);SPVM
use Math;
my $sin = Math->sin(Math->PI / 4);DESCRIPTION
SPVM::Math is a SPVM module that defines mathmatical functions.
EXAMPELS
Complex Tutorial
SPVM provides common arithmetic for complex numbers at the same level as C99.Complex Type
Complex Type is Complex_2f for complex float and Complex_2d for complex double. Complex_2f and Complex_2d is Multi Numeric Type. This is allocated on Method Call Stack. This is not Object Type which is allocated on Heap Memory. See SPVM Complex Examples at first.Complex_2f
# Complex float type
use Complex_2f;
my $z : Complex_2f;
$z->{re} = 1.5f;
$z->{im} = 1.7f;
Complex_2d
# Complex double type
use Complex_2d;
my $z : Complex_2d;
$z->{re} = 1.5;
$z->{im} = 1.7;
New Complex Functions
New Complex functionsuse Math (complexf, complex); # Complex_2f my $z = complexf(1.5f, 1.7f); # Complex_2d my $z = complex(1.5, 1.7);
Complex Operation
float Complex Addition, Subtract, Multiply, Scalar Multiply, Division
float Complex Addition, Subtract, Multiply, Scalar Multiply, Division.# float Addition, Subtract, Multiply, Scalar Multiply, Division functions use Math(caddf, csubf, cmulf, cscamulf, cdivf); my $z1 = complexf(1.5f, 1.7f); my $z2 = complexf(2.5f, 2.7f); # Addition my $z_add = caddf($z1, $z2); # Subtract my $z_method = csubf($z1, $z2); # Multiply my $z_mul = cmulf($z1, $z2); # Scalar Multiply my $z_scamul = cscamulf(3, $z2); # Division my $z_div = cdivf($z1, $z2);
double Complex Addition, Subtract, Multiply, Scalar Multiply, Division
# double Addition, Subtract, Multiply, Scalar Multiply, Division functions use Math(cadd, csub, cmul, cscamul, cdiv); my $z1 = complex(1.5, 1.7); my $z2 = complex(2.5, 2.7); # Addition my $z_add = cadd($z1, $z2); # Subtract my $z_method = csub($z1, $z2); # Multiply my $z_mul = cmul($z1, $z2); # Scalar Multiply my $z_scamul = cscamul(3, $z2); # Division my $z_div = cdiv($z1, $z2);
Trigonometric functions
Trigonometric functions.float Trigonometric functions
float Trigonometric functions.# float Trigonometric functions use Math(csinf, ccosf, ctanf); my $z = complexf(1.5f, 1.7f); # Addition my $z_sin = csinf($z); # Subtract my $z_cos = ccosf($z); # Multiply my $z_tan = ctanf($z);
double Trigonometric functions
double Trigonometric functions.# double Trigonometric functions use Math(csin, ccos, ctan); my $z = complex(1.5, 1.7); # Addition my $z_sin = csin($z); # Subtract my $z_cos = ccos($z); # Multiply my $z_tan = ctan($z);See Math for more complex functions
Complex Array
SPVM Array of Complex has values arranged in contiguous memory areas.Complex_2f[]
# Complex float type
use Complex_2f;
my $zs = new Complex_2f[100];
for (my $i = 0; $i < @$zs; $i++) {
my $z = $zs->[$i];
$z->{re} = 1.5f;
$z->{im} = 1.7f;
}
Complex_2d
# Complex double type
use Complex_2d;
my $zs = new Complex_2d[100];
for (my $i = 0; $i < @$zs; $i++) {
my $z = $zs->[$i];
$z->{re} = 1.5;
$z->{im} = 1.7;
}
Call complex function from Perl
Call complex function from Perl. Argument is passed and return value is return.
use SPVM 'MyComplex';
my $z1 = {re => 1.7, im => 2.7};
my $z2 = {re => 7.5, im => 2.5};
my $z_ret = MyComplex->complex_call_from_perl($z1, $z2);
print "($z_ret->{re}, $z_ret->{im})\n";
CLASS METHODS
abs
static method abs : int ($x : int);Get the abusolute value of a int value.
acos
static method acos : double ($x : double)acos function defined in C language math.h.
acosf
static method acosf : float ($x : float)acosf function defined in C language math.h.
acosh
static method acosh : double ($x : double)acosh function defined in C language math.h.
acoshf
static method acoshf : float ($x : float)acoshf function defined in C language math.h.
asin
static method asin : double ($x : double)asin function defined in C language math.h.
asinf
static method asinf : float ($x : float)asinf function defined in C language math.h.
asinh
static method asinh : double ($x : double)asinh function defined in C language math.h.
asinhf
static method asinhf : float ($x : float)asinhf function defined in C language math.h.
atan
static method atan : double ($x : double)atan function defined in C language math.h.
atan2
static method atan2 : double ($y : double, $x : double)atan2 function defined in C language math.h.
atanf
static method atanf : float ($x : float)atanf function defined in C language math.h.
atanh
static method atanh : double ($x : double)atanh function defined in C language math.h.
atanhf
static method atanhf : float ($x : float)atanhf function defined in C language math.h.
cabs
static method cabs : double ($z : Complex_2d)cabs function defined in C language complex.h.
cabsf
static method cabsf : float ($z : Complex_2f)cabsf function defined in C language complex.h.
cacos
static method cacos : Complex_2d ($z : Complex_2d)cacos function defined in C language complex.h.
cacosf
static method cacosf : Complex_2f ($z : Complex_2f)cacosf function defined in C language complex.h.
cacosh
static method cacosh : Complex_2d ($z : Complex_2d)cacosh function defined in C language complex.h.
cacoshf
static method cacoshf : Complex_2f ($z : Complex_2f)cacoshf function defined in C language complex.h.
cadd
static method cadd : Complex_2d ($z1 : Complex_2d, $z2 : Complex_2d)cadd function defined in C language complex.h.
caddf
static method caddf : Complex_2f ($z1 : Complex_2f, $z2 : Complex_2f)caddf function defined in C language complex.h.
carg
static method carg : double ($z : Complex_2d)carg function defined in C language complex.h.
cargf
static method cargf : float ($z : Complex_2f)cargf function defined in C language complex.h.
casin
static method casin : Complex_2d ($z : Complex_2d)casin function defined in C language complex.h.
casinf
static method casinf : Complex_2f ($z : Complex_2f)casinf function defined in C language complex.h.
casinh
static method casinh : Complex_2d ($z : Complex_2d)casinh function defined in C language complex.h.
casinhf
static method casinhf : Complex_2f ($z : Complex_2f)casinhf function defined in C language complex.h.
catan
static method catan : Complex_2d ($z : Complex_2d)catan function defined in C language complex.h.
catanf
static method catanf : Complex_2f ($z : Complex_2f)catanf function defined in C language complex.h.
catanh
static method catanh : Complex_2d ($z : Complex_2d)catanh function defined in C language complex.h.
catanhf
static method catanhf : Complex_2f ($z : Complex_2f)catanhf function defined in C language complex.h.
cbrt
static method cbrt : double ($x : double)cbrt function defined in C language math.h.
cbrtf
static method cbrtf : float ($x : float)cbrtf function defined in C language math.h.
ccos
static method ccos : Complex_2d ($z : Complex_2d)ccos function defined in C language complex.h.
ccosf
static method ccosf : Complex_2f ($z : Complex_2f)ccosf function defined in C language complex.h.
ccosh
static method ccosh : Complex_2d ($z : Complex_2d)ccosh function defined in C language complex.h.
ccoshf
static method ccoshf : Complex_2f ($z : Complex_2f)ccoshf function defined in C language complex.h.
cdiv
static method cdiv : Complex_2d ($z1 : Complex_2d, $z2 : Complex_2d)double complex division.
cdivf
static method cdivf : Complex_2f ($z1 : Complex_2f, $z2 : Complex_2f)float complex division.
ceil
static method ceil : double ($x : double)ceil function defined in C language math.h.
ceilf
static method ceilf : float ($x : float)ceilf function defined in C language math.h.
cexp
static method cexp : Complex_2d ($z : Complex_2d)cexp function defined in C language complex.h.
cexpf
static method cexpf : Complex_2f ($z : Complex_2f)cexpf function defined in C language complex.h.
clog
static method clog : Complex_2d ($z : Complex_2d)clog function defined in C language complex.h.
clogf
static method clogf : Complex_2f ($z : Complex_2f)clogf function defined in C language complex.h.
cmul
static method cmul : Complex_2d ($z1 : Complex_2d, $z2 : Complex_2d)double complex multiplication.
cmulf
static method cmulf : Complex_2f ($z1 : Complex_2f, $z2 : Complex_2f)float complex multiplication.
complex
static method complex : Complex_2d ($x : double, $y : double)Create double complex value. This value is defined in Complex_2d.
complexf
static method complexf : Complex_2f ($x : float, $y : float)Create float complex value. This value is defined in Complex_2f.
conj
static method conj : Complex_2d ($z : Complex_2d)conj function defined in C language complex.h.
conjf
static method conjf : Complex_2f ($z : Complex_2f)conjf function defined in C language complex.h.
copysign
static method copysign : double ($x1 : double, $x2 : double)copysign function defined in C language math.h.
copysignf
static method copysignf : float ($x1 : float, $x2 : float)copysignf function defined in C language math.h.
cos
static method cos : double ($x : double)cos function defined in C language math.h.
cosf
static method cosf : float ($x : float)cosf function defined in C language math.h.
cosh
static method cosh : double ($x : double)cosh function defined in C language math.h.
coshf
static method coshf : float ($x : float)coshf function defined in C language math.h.
cpow
static method cpow : Complex_2d ($z1 : Complex_2d, $z2 : Complex_2d)cpow function defined in C language complex.h.
cpowf
static method cpowf : Complex_2f ($z1 : Complex_2f, $z2 : Complex_2f)cpowf function defined in C language complex.h.
cscamul
static method cscamul : Complex_2d ($c : double, $z : Complex_2d)double complex scalar multiplication.
cscamulf
static method cscamulf : Complex_2f ($c : float, $z : Complex_2f)float complex scalar multiplication.
csin
static method csin : Complex_2d ($z : Complex_2d)csin function defined in C language complex.h.
csinf
static method csinf : Complex_2f ($z : Complex_2f)csinf function defined in C language complex.h.
csinh
static method csinh : Complex_2d ($z : Complex_2d)csinh function defined in C language complex.h.
csinhf
static method csinhf : Complex_2f ($z : Complex_2f)csinhf function defined in C language complex.h.
csqrt
static method csqrt : Complex_2d ($z : Complex_2d)csqrt function defined in C language complex.h.
csqrtf
static method csqrtf : Complex_2f ($z : Complex_2f)csqrtf function defined in C language complex.h.
csub
static method csub : Complex_2d ($z1 : Complex_2d, $z2 : Complex_2d)csub function defined in C language complex.h.
csubf
static method csubf : Complex_2f ($z1 : Complex_2f, $z2 : Complex_2f)csubf function defined in C language complex.h.
ctan
static method ctan : Complex_2d ($z : Complex_2d)ctan function defined in C language complex.h.
ctanf
static method ctanf : Complex_2f ($z : Complex_2f)ctanf function defined in C language complex.h.
ctanh
static method ctanh : Complex_2d ($z : Complex_2d)ctanh function defined in C language complex.h.
ctanhf
static method ctanhf : Complex_2f ($z : Complex_2f)ctanhf function defined in C language complex.h.
E
static method E : double ()Euler’s Number e. This value is 0x1.5bf0a8b145769p+1.
erf
static method erf : double ($x : double)erf function defined in C language math.h.
erfc
static method erfc : double ($x : double)erfc function defined in C language math.h.
erfcf
static method erfcf : float ($x : float)erfcf function defined in C language math.h.
erff
static method erff : float ($x : float)erff function defined in C language math.h.
exp
static method exp : double ($x : double)exp function defined in C language math.h.
exp2
static method exp2 : double ($x : double)exp2 function defined in C language math.h.
exp2f
static method exp2f : float ($x : float)exp2f function defined in C language math.h.
expf
static method expf : float ($x : float)expf function defined in C language math.h.
expm1
static method expm1 : double ($x : double)expm1 function defined in C language math.h.
expm1f
static method expm1f : float ($x : float)expm1f function defined in C language math.h.
fabs
static method fabs : double ($x : double)fabs function defined in C language math.h.
fabsf
static method fabsf : float ($x : float)fabsf function defined in C language math.h.
fdim
static method fdim : double ($x1 : double, $x2 : double)fdim function defined in C language math.h.
fdimf
static method fdimf : float ($x1 : float, $x2 : float)fdimf function defined in C language math.h.
FE_DOWNWARD
static method FE_DOWNWARD : int ()FE_DOWNWARD macro defined in C language fenv.h.
FE_TONEAREST
static method FE_TONEAREST : int ()FE_TONEAREST macro defined in C language fenv.h.
FE_TOWARDZERO
static method FE_TOWARDZERO : int ()FE_TOWARDZERO macro defined in C language fenv.h.
FE_UPWARD
static method FE_UPWARD : int ()FE_UPWARD macro defined in C language fenv.h.
fesetround
static method fesetround : int ($round : int)fesetround function defined in C language math.h.
floor
static method floor : double ($x : double)floor function defined in C language math.h.
floorf
static method floorf : float ($x : float)floorf function defined in C language math.h.
fma
static method fma : double ($x1 : double, $x2 : double, $x3 : double)fma function defined in C language math.h.
fmaf
static method fmaf : float ($x1 : float, $x2 : float, $x3 : float)fmaf function defined in C language math.h.
fmax
static method fmax : double ($x1 : double, $x2 : double)fmax function defined in C language math.h.
fmaxf
static method fmaxf : float ($x1 : float, $x2 : float)fmaxf function defined in C language math.h.
fmin
static method fmin : double ($x1 : double, $x2 : double)fmin function defined in C language math.h.
fminf
static method fminf : float ($x1 : float, $x2 : float)fminf function defined in C language math.h.
fmod
static method fmod : double ($x1 : double, $x2 : double)fmod function defined in C language math.h.
fmodf
static method fmodf : float ($x1 : float, $x2 : float)fmodf function defined in C language math.h.
FP_ILOGB0
static method FP_ILOGB0 : int ()FP_ILOGB0 macro defined in C language fenv.h.
FP_ILOGBNAN
static method FP_ILOGBNAN : int ()FP_ILOGBNAN macro defined in C language fenv.h.
FP_INFINITE
static method FP_INFINITE : int ()FP_INFINITE macro defined in C language fenv.h.
FP_NAN
static method FP_NAN : int ()FP_NAN macro defined in C language fenv.h.
FP_ZERO
static method FP_ZERO : int ()FP_ZERO macro defined in C language fenv.h.
fpclassify
static method fpclassify : int ($x : double)fpclassify macro defined in C language math.h. This method receives a double value.
fpclassifyf
static method fpclassifyf : int ($x : float)fpclassify macro defined in C language math.h for float type. This method receives a float value.
frexp
static method frexp : double ($x : double, $exp : int&)frexp function defined in C language math.h.
frexpf
static method frexpf : float ($x : float, $exp : int&)frexpf function defined in C language math.h.
HUGE_VAL
static method HUGE_VAL : double ()HUGE_VAL macro defined in C language math.h.
HUGE_VALF
static method HUGE_VALF : float ()HUGE_VALF macro defined in C language math.h.
hypot
static method hypot : double ($x : double, $y : double)hypot function defined in C language math.h.
hypotf
static method hypotf : float ($x : float, $y : float)hypotf function defined in C language math.h.
ilogb
static method ilogb : int ($x : double)ilogb function defined in C language math.h.
ilogbf
static method ilogbf : int ($x : float)ilogbf function defined in C language math.h.
INFINITY
static method INFINITY : double ()INFINITY macro defined in C language math.h. This method returns a double value.
INFINITYF
static method INFINITYF : float ()INFINITY macro for float type defined in C language math.h. This method returns a float value.
isfinite
static method isfinite : int ($x : double)isfinite macro defined in C language math.h. This method receives a double value.
isfinitef
static method isfinitef : int($x : float)isfinite macro defined in C language math.h for float type. This method receives a float value.
isgreater
static method isgreater : int ($x1 : double, $x2 : double)isgreater macro defined in C language math.h. This method receives two double values.
isgreaterequal
static method isgreaterequal : int ($x1 : double, $x2 : double)isgreaterequal macro defined in C language math.h. This method receives two double values.
isgreaterequalf
static method isgreaterequalf : int ($x1 : float, $x2 : float)isgreaterequal macro defined in C language math.h. This method receives two float values.
isgreaterf
static method isgreaterf : int ($x1 : float, $x2 : float)isgreater macro defined in C language math.h. This method receives two float values.
isinf
static method isinf : int ($x : double)isinf macro defined in C language math.h. This method receives a double value.
isinff
static method isinff : int($x : float)isinf macro defined in C language math.h. This method receives a float value.
isless
static method isless : int ($x1 : double, $x2 : double)isless macro defined in C language math.h. This method receives two double values.
islessequal
static method islessequal : int ($x1 : double, $x2 : double)islessequal macro defined in C language math.h. This method receives two double values.
islessequalf
static method islessequalf : int ($x1 : float, $x2 : float)islessequalf macro defined in C language math.h. This method receives two float values.
islessf
static method islessf : int ($x1 : float, $x2 : float)islessf macro defined in C language math.h. This method receives two float values.
islessgreater
static method islessgreater : int ($x1 : double, $x2 : double)islessgreater macro defined in C language math.h. This method receives two double values.
islessgreaterf
static method islessgreaterf : int ($x1 : float, $x2 : float)islessgreater macro defined in C language math.h. This method receives two float values.
isnan
static method isnan : int ($x : double)isnan macro defined in C language math.h. This method receives a double value.
isnanf
static method isnanf : int ($x : float)isnanf macro defined in C language math.h. This method receives a float value.
isunordered
static method isunordered : int ($x1 : double, $x2 : double)isunordered macro defined in C language math.h. This method receives two double values.
isunorderedf
static method isunorderedf : int ($x1 : float, $x2 : float)isunorderedf macro defined in C language math.h. This method receives two float values.
labs
static method labs : long ($x : long);Get the abusolute value of a long value.
ldexp
static method ldexp : double ($x : double, $exp : int)ldexp function defined in C language math.h.
ldexpf
static method ldexpf : float ($x : float, $exp : int)ldexpf function defined in C language math.h.
lgamma
static method lgamma : double ($x : double)lgamma function defined in C language math.h.
lgammaf
static method lgammaf : float ($x : float)lgammaf function defined in C language math.h.
log
static method log : double ($x : double)log function defined in C language math.h.
log10
static method log10 : double ($x : double)log10 function defined in C language math.h.
log10f
static method log10f : float ($x : float)log10f function defined in C language math.h.
log1p
static method log1p : double ($x : double)log1p function defined in C language math.h.
log1pf
static method log1pf : float ($x : float)log1pf function defined in C language math.h.
log2
static method log2 : double ($x : double)log2 function defined in C language math.h.
log2f
static method log2f : float ($x : float)log2f function defined in C language math.h.
logb
static method logb : double ($x : double)logb function defined in C language math.h.
logbf
static method logbf : float ($x : float)logbf function defined in C language math.h.
logf
static method logf : float ($x : float)logf function defined in C language math.h.
lround
static method lround : long ($x : double)llround function defined in C language math.h. Note that call llround instead of lround in C level.
lroundf
static method lroundf : long ($x : float)llroundf function defined in C language math.h. Note that call llroundf instead of lroundf in C level.
modf
static method modf : double ($x : double, $intpart : double&)modf function defined in C language math.h.
modff
static method modff : float ($x : float, $intpart : float&)modff function defined in C language math.h.
NAN
static method NAN : double ()NAN macro defined in C language math.h. This method return a double value.
nan
static method nan : double ($str : string)nan function defined in C language math.h.
String must be defined, otherwise a exception occurs.
NANF
static method NANF : float ()NAN macro defined in C language math.h. This method return a float value.
nanf
static method nanf : float ($str : string)nanf function defined in C language math.h.
String must be defined, otherwise a exception occurs.
nearbyint
static method nearbyint : double ($x : double)nearbyint function defined in C language math.h.
nearbyintf
static method nearbyintf : float ($x : float)nearbyintf function defined in C language math.h.
nextafter
static method nextafter : double ($x1 : double, $x2 : double)nextafter function defined in C language math.h.
nextafterf
static method nextafterf : float ($x1 : float, $x2 : float)nextafterf function defined in C language math.h.
nexttoward
static method nexttoward : double ($x1 : double, $x2 : double)nexttoward function defined in C language math.h.
nexttowardf
static method nexttowardf : float ($x1 : float, $x2 : double)nexttowardf function defined in C language math.h.
PI
static method PI : double ()pi. This value is 0x1.921fb54442d18p+1.
pow
static method pow : double ($x : double, $y : double)pow function defined in C language math.h.
powf
static method powf : float ($x : float, $y : float)powf function defined in C language math.h.
remainder
static method remainder : double ($x1 : double, $x2 : double)remainder function defined in C language math.h.
remainderf
static method remainderf : float ($x1 : float, $x2 : float)remainderf function defined in C language math.h.
remquo
static method remquo : double ($x1 : double, $x2 : double, $quo : int&)remquo function defined in C language math.h.
remquof
static method remquof : float ($x1 : float, $x2 : float, $quo : int&)remquof function defined in C language math.h.
round
static method round : double ($x : double)round function defined in C language math.h.
roundf
static method roundf : float ($x : float)roundf function defined in C language math.h.
scalbln
static method scalbln : double ($x : double, $exp : long)scalbln function defined in C language math.h.
scalblnf
static method scalblnf : float ($x : float, $exp : long)scalblnf function defined in C language math.h.
scalbn
static method scalbn : double ($x : double, $exp : int)scalbn function defined in C language math.h.
scalbnf
static method scalbnf : float ($x : float, $exp : int)scalbnf function defined in C language math.h.
signbit
static method signbit : int ($x : double)signbit function defined in C language math.h.
signbitf
static method signbitf : int ($x : float)signbitf function defined in C language math.h.
sin
static method sin : double ($x : double)sin function defined in C language math.h.
sinf
static method sinf : float ($x : float)sinf function defined in C language math.h.
sinh
static method sinh : double ($x : double)sinh function defined in C language math.h.
sinhf
static method sinhf : float ($x : float)sinhf function defined in C language math.h.
sqrt
static method sqrt : double ($x : double)sqrt function defined in C language math.h.
sqrtf
sqrtf function defined in C language math.h.
tan
static method tan : double ($x : double)tan function defined in C language math.h.
tanf
static method tanf : float ($x : float)tanf function defined in C language math.h.
tanh
static method tanh : double ($x : double)tanh function defined in C language math.h.
tanhf
static method tanhf : float ($x : float)tanhf function defined in C language math.h.
tgamma
static method tgamma : double ($x : double)tgamma function defined in C language math.h.
tgammaf
static method tgammaf : float ($x : float)tgammaf function defined in C language math.h.
trunc
static method trunc : double ($x : double)trunc function defined in C language math.h.
truncf
static method truncf : float ($x : float)truncf function defined in C language math.h.
1 POD Error
The following errors were encountered while parsing the POD:
- Around line 688:
Non-ASCII character seen before =encoding in 'Euler’s'. Assuming UTF-8