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/ SPVM::Document::Tutorial::Complex

Name

SPVM::Document::Tutorial::Complex - complex tutorial.

Description

This document is complex tutorial.

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 functions 
use 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";