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GDBlasTest.gd
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extends Node2D
var _has_geometry_funcs: bool = false
func C(real: float, imag: float = 0.0) -> Vector2:
return Vector2(real, imag)
func _is_real_number(v) -> bool:
if v is int or v is float:
return true
return false
func _is_complex_number(v) -> bool:
if v is Vector2:
return true
return false
func _is_number(v) -> bool:
return _is_real_number(v) or _is_complex_number(v)
func cmp_scalar(s1, s2, eps: float = 1e-7) -> bool:
if not _is_number(s1) or not _is_number(s2):
return false
if _is_real_number(s1) and _is_complex_number(s2):
s1 = Vector2(s1, 0)
if _is_real_number(s2) and _is_complex_number(s1):
s2 = Vector2(s2, 0)
if _is_complex_number(s1) and _is_complex_number(s2) and (s1 - s2).length() < eps:
return true
elif _is_real_number(s1) and _is_real_number(s2) and abs(s1 - s2) < eps:
return true
return false
func cmp_mat(mat1: Array, mat2: Array) -> bool:
if mat1.size() != mat2.size():
return false
for i in range(mat1.size()):
var row1 = mat1[i]
var row2 = mat2[i]
if row1.size() != row2.size():
return false
for j in range(row1.size()):
var val1 = row1[j]
var val2 = row2[j]
if not cmp_scalar(val1, val2):
return false
return true
func cmp_vec2_array(a1: PackedVector2Array, a2: PackedVector2Array, eps: float = 1e-7):
var s = a1.size()
if s != a1.size():
return false
for i in range(s):
if not cmp_scalar(a1[i], a2[i], eps):
return false
return true
func random_mat(m: int, n: int, real: bool = true) -> Array:
var mat = Array()
mat.resize(m)
for i in range(m):
var row = Array()
row.resize(n)
for j in range(n):
if real:
row[j] = randf_range(-100, 100)
else:
row[j] = Vector2(randf_range(-100, 100), randf_range(-100, 100))
mat[i] = row
return mat
func get_real_or_imag(mat: Array, real: bool = true) -> Array:
var out = Array()
out.resize(mat.size())
for i in range(out.size()):
var row = Array()
row.resize(mat[i].size())
for j in range(row.size()):
if real:
row[j] = mat[i][j].x
else:
row[j] = mat[i][j].y
out[i] = row
return out
func new_mat(m: int, n: int, val = 0, real: bool = true) -> Array:
var mat = Array()
mat.resize(m)
for i in range(m):
var row = Array()
row.resize(n)
for j in range(n):
if real:
if _is_complex_number(val):
print("ERR: _is_complex_number(val)")
return Array()
row[j] = val
else:
if _is_real_number(val):
val = Vector2(val, 0)
row[j] = val
mat[i] = row
return mat
# Called when the node enters the scene tree for the first time.
func _ready():
var gbl = GDBlas.new()
if gbl.has_method("area"):
_has_geometry_funcs = true
test01()
test02()
test02_1()
test03()
test04()
test05()
test06()
test07()
test08()
test09()
test10()
test11()
test12()
test13()
test14()
test15()
test16()
test17()
test18()
test19()
test20()
test21()
test22()
test23()
if _has_geometry_funcs:
test24()
test25()
test26()
test27()
test28()
test29()
test30()
test31()
test32()
test33()
test34()
test35()
test36()
test37()
test38()
test39()
test40()
test41()
test42()
test43()
test44()
test45()
test46()
test47()
test48()
test49()
test50()
test51()
test52()
test53()
test54()
test55()
else:
print("Geometry functions are not enabled. Skipping...")
func test01():
print("test01")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat(2, 2)
var mat1_arr = [ [0.0, 0.0], [0.0, 0.0] ]
var tmp = mat1.to_array()
assert(cmp_mat(tmp, mat1_arr))
assert(mat1.dimension() == Vector2i(2, 2))
mat1.resize(3, 4)
mat1_arr = [ [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0] ]
tmp = mat1.to_array()
assert(cmp_mat(tmp, mat1_arr))
assert(mat1.dimension() == Vector2i(3, 4))
var mat2 = gbl.new_complex_mat(2, 3)
var mat2_arr = [ [C(0.0), C(0.0), C(0.0)], [C(0.0), C(0.0), C(0.0)] ]
tmp = mat2.to_array()
assert(cmp_mat(tmp, mat2_arr))
assert(mat2.dimension() == Vector2i(2, 3))
mat2.resize(3, 4)
mat2_arr = [
[C(0.0), C(0.0), C(0.0), C(0.0)],
[C(0.0), C(0.0), C(0.0), C(0.0)],
[C(0.0), C(0.0), C(0.0), C(0.0)]
]
tmp = mat2.to_array()
assert(tmp == mat2_arr)
assert(mat2.dimension() == Vector2i(3, 4))
assert(mat2.set(C(1, -1), 4, 4) != 0)
mat1.set(1, 1, 0)
mat1.set(-0.3, 0, 1)
mat1.set(1e3, 2, 3)
mat1_arr[1][0] = 1
mat1_arr[0][1] = -0.3
mat1_arr[2][3] = 1e3
tmp = mat1.to_array()
assert(cmp_scalar(mat1.get(1, 0), 1))
assert(cmp_scalar(mat1.get(0, 1), -0.3))
assert(cmp_scalar(mat1.get(2, 3), 1e3))
assert(cmp_mat(tmp, mat1_arr))
mat2.set(C(1, -1), 1, 0)
mat2.set(C(2, -0.3), 0, 1)
mat2.set(C(1e3, 1e-2), 2, 3)
mat2_arr[1][0] = C(1, -1)
mat2_arr[0][1] = C(2, -0.3)
mat2_arr[2][3] = C(1e3, 1e-2)
tmp = mat2.to_array()
assert(cmp_scalar(mat2.get(1, 0), C(1, -1)))
assert(cmp_scalar(mat2.get(0, 1), C(2, -0.3)))
assert(cmp_scalar(mat2.get(2, 3), C(1e3, 1e-2)))
assert(cmp_mat(tmp, mat2_arr))
var mat3 = mat1.copy()
assert(cmp_mat(mat3.to_array(), mat1.to_array()))
var mat4 = mat2.copy()
assert(cmp_mat(mat4.to_array(), mat2.to_array()))
mat3.sub(mat1)
assert(
cmp_mat(mat3.to_array(), gbl.new_mat(mat3.dimension()).to_array())
)
func test02():
print("test02")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat(Vector2i(2, 4))
var mat1_arr = [ [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0] ]
assert(cmp_mat(mat1.to_array(), mat1_arr))
mat1_arr = [ [0.2, 3.0, -2.0, 0.0], [0.0, 0.0, 1e-3, 0.0], [0.1, 4.0, 0.3, 10.0] ]
mat1.from_array(mat1_arr)
assert(mat1.dimension() == Vector2i(3, 4))
assert(cmp_mat(mat1.to_array(), mat1_arr))
mat1 = gbl.new_complex_mat(Vector2i(2, 4))
mat1_arr = [ [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0] ]
assert(cmp_mat(mat1.to_array(), mat1_arr))
mat1_arr = [ [0.2, 3.0, -2.0, 0.0], [0.0, 0.0, 1e-3, 0.0], [0.1, 4.0, 0.3, 10.0] ]
mat1.from_array(mat1_arr)
assert(mat1.dimension() == Vector2i(3, 4))
assert(cmp_mat(mat1.to_array(), mat1_arr))
mat1.T()
assert(mat1.dimension() == Vector2i(4, 3))
mat1.T()
assert(mat1.dimension() == Vector2i(3, 4))
assert(cmp_mat(mat1.to_array(), mat1_arr))
mat1_arr = random_mat(5, 5, false)
mat1.from_array(mat1_arr)
var mat2 = mat1.copy()
assert(not mat2.sub(mat1))
assert(cmp_mat(mat2.to_array(), new_mat(mat2.dimension().x, mat2.dimension().y)))
mat2 = mat1.copy()
mat2.T()
mat2.H()
assert(not mat2.sub(mat1))
assert(not cmp_mat(mat2.to_array(), new_mat(mat2.dimension().x, mat2.dimension().y)))
mat2 = mat1.copy()
mat2.H()
mat2.H()
assert(not mat2.sub(mat1))
assert(cmp_mat(mat2.to_array(), new_mat(mat2.dimension().x, mat2.dimension().y)))
mat2 = mat1.copy()
var mat3 = mat1.copy()
mat2.H()
mat2.H()
assert(not mat2.add(mat1))
assert(not mat3.mul(4))
assert(not mat3.div(Vector2(2, 0)))
assert(cmp_mat(mat2.to_array(), mat3.to_array()))
func _test02_1_set_mat(a, i: int, j: int):
return i + j + 1
func test02_1():
print("test02_1")
var gbl = GDBlas.new()
var A = gbl.new_mat(6)
var A11 = gbl.new_mat(4, 2)
A.fill(-1)
A11.f(_test02_1_set_mat, null, true)
A.set(A11, 1, 1)
var A11_cmp = A.get(1, 1, 4, 2)
assert(A11.is_eq(A11_cmp))
var B = gbl.new_complex_mat(6)
B.fill(-1)
B.set(A11, 1, 1)
var B11_cmp = B.get(1, 1, 4, 2)
assert(A11.is_eq(B11_cmp))
var B11 = gbl.new_complex_mat(3, 3)
B11.fill(Vector2(10, 20))
assert(B.set(B11, 4, 4) != 0)
B.set(B11, 3, 3)
B11_cmp = B.get(3, 3, 3, 3)
assert(B11.is_eq(B11_cmp))
func test03():
print("test03")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat()
assert(mat1.dimension() == Vector2i(1, 1))
var mat1_arr = random_mat(4, 7)
mat1.from_array(mat1_arr)
var mat2 = gbl.new_mat()
var mat2_arr = random_mat(4, 7)
mat2.from_array(mat2_arr)
assert(mat2.add(mat1) == 0)
mat1.T()
assert(mat2.add(mat1) != 0)
mat2.T()
assert(mat2.add(mat1) == 0)
assert(mat2.sub(mat1) == 0)
assert(mat2.sub(mat1) == 0)
mat2.T()
assert(cmp_mat(mat2.to_array(), mat2_arr))
var mat1c = gbl.new_complex_mat()
assert(mat1c.dimension() == Vector2i(1, 1))
var mat1c_arr = random_mat(4, 7, false)
mat1c.from_array(mat1c_arr)
var mat2c = gbl.new_complex_mat()
var mat2c_arr = random_mat(4, 7, false)
mat2c.from_array(mat2c_arr)
assert(mat2c.add(mat1c) == 0)
mat1c.T()
assert(mat2c.add(mat1c) != 0)
mat2c.T()
assert(mat2c.add(mat1c) == 0)
assert(mat2c.sub(mat1c) == 0)
assert(mat2c.sub(mat1c) == 0)
mat2c.T()
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
func test04():
print("test04")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat(12)
assert(mat1.dimension() == Vector2i(12, 12))
assert(mat1.eye(-0.224) == 0)
var mat2 = mat1.copy()
assert(mat2.dimension() == Vector2i(12, 12))
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.T()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.H()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
var mat1_arr = random_mat(mat1.dimension().x, mat1.dimension().y)
mat1.from_array(mat1_arr)
mat2 = mat1.copy()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.T()
assert(not cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.H()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
func test05():
print("test05")
var gbl = GDBlas.new()
var mat1 = gbl.new_complex_mat(12)
assert(mat1.dimension() == Vector2i(12, 12))
assert(mat1.eye(Vector2(-0.224, 10)) == 0)
var mat2 = mat1.copy()
assert(mat2.dimension() == Vector2i(12, 12))
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.T()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.H()
assert(not cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.conj()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
var mat1_arr = random_mat(mat1.dimension().x, mat1.dimension().y, false)
mat1.from_array(mat1_arr)
mat2 = mat1.copy()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.T()
assert(not cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.H()
assert(not cmp_mat(mat1.to_array(), mat2.to_array()))
mat1.conj()
assert(cmp_mat(mat1.to_array(), mat2.to_array()))
assert(mat1.is_eq(mat2, 1e-16, GDBlas.NORM_FRO))
assert(mat2.is_eq(mat1))
func test06():
print("test06")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat()
assert(mat1.dimension() == Vector2i(1, 1))
var mat1_arr = random_mat(4, 7)
mat1.from_array(mat1_arr)
var mat2 = gbl.new_mat()
var mat2_arr = random_mat(4, 7)
mat2.from_array(mat2_arr)
assert(mat2.mul(mat1) == 0)
mat1.T()
assert(mat2.mul(mat1) != 0)
mat2.T()
assert(mat2.mul(mat1) == 0)
assert(mat2.div(mat1) == 0)
assert(mat2.div(mat1) == 0)
mat2.T()
assert(cmp_mat(mat2.to_array(), mat2_arr))
mat2.mul(2)
mat2.div(2)
assert(cmp_mat(mat2.to_array(), mat2_arr))
assert(mat2.mul(C(1e3, 0.002)) != 0)
assert(mat2.div(C(1e3, 0.002)) != 0)
mat2.mul(0.002)
assert(not cmp_mat(mat2.to_array(), mat2_arr))
mat2.div(0.002)
assert(cmp_mat(mat2.to_array(), mat2_arr))
var sc = gbl.new_mat()
sc.set(-7)
mat2.mul(sc)
assert(not cmp_mat(mat2.to_array(), mat2_arr))
mat2.div(sc)
assert(cmp_mat(mat2.to_array(), mat2_arr))
var mat1c = gbl.new_complex_mat()
assert(mat1c.dimension() == Vector2i(1, 1))
var mat1c_arr = random_mat(4, 7, false)
mat1c.from_array(mat1c_arr)
var mat2c = gbl.new_complex_mat()
var mat2c_arr = random_mat(4, 7, false)
mat2c.from_array(mat2c_arr)
assert(mat2c.mul(mat1c) == 0)
mat1c.T()
assert(mat2c.mul(mat1c) != 0)
mat2c.T()
assert(mat2c.mul(mat1c) == 0)
assert(mat2c.div(mat1c) == 0)
assert(mat2c.div(mat1c) == 0)
mat2c.T()
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.mul(2)
mat2c.div(2)
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.mul(C(1e3, 0.002))
assert(not cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.div(C(1e3, 0.002))
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.mul(C(1e3, 0.002))
assert(not cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.div(C(1e3, 0.002))
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
var scc = gbl.new_complex_mat()
scc.set(C(2.33, -7))
mat2c.mul(scc)
assert(not cmp_mat(mat2c.to_array(), mat2c_arr))
mat2c.div(scc)
assert(cmp_mat(mat2c.to_array(), mat2c_arr))
func test07():
print("test07")
var gbl = GDBlas.new()
var mat1 = gbl.new_complex_mat()
var mat1_arr = random_mat(20, 27, false)
mat1.from_array(mat1_arr)
assert(mat1.dimension() == Vector2i(20, 27))
var mat1re = mat1.real()
var mat1im = mat1.imag()
assert(mat1re.dimension() == Vector2i(20, 27))
assert(mat1im.dimension() == Vector2i(20, 27))
var mat1re_arr = get_real_or_imag(mat1_arr, true)
var mat1im_arr = get_real_or_imag(mat1_arr, false)
assert(cmp_mat(mat1re.to_array(), mat1re_arr))
assert(cmp_mat(mat1im.to_array(), mat1im_arr))
mat1.real(mat1im)
mat1.imag(mat1re)
var mat1re2 = mat1.real()
var mat1im2 = mat1.imag()
assert(cmp_mat(mat1re2.to_array(), mat1im_arr))
assert(cmp_mat(mat1im2.to_array(), mat1re_arr))
assert(mat1re.is_eq(mat1im2))
assert(mat1im.is_eq(mat1re2))
func test08():
print("test08")
var gbl = GDBlas.new()
var a = gbl.new_mat()
var A = [
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ],
[ 7, 8 ],
]
a.from_array(A)
var b = gbl.new_mat()
b.from_array(A)
b.T()
var c = a.prod(b)
var C_ = [
[ 5, 11, 17, 23],
[ 11, 25, 39, 53],
[ 17, 39, 61, 83],
[ 23, 53, 83, 113]
]
assert(cmp_mat(c.to_array(), C_))
var d = b.prod(a)
var D = [
[84, 100],
[100, 120],
]
assert(cmp_mat(d.to_array(), D))
c.set(d, 0, 0)
c.set(d, 2, 2)
assert(c.set(d, 3, 3) != 0)
var cinv = c.inv()
var cinv_arr = [
[-0.04584144, 0.05921693, 0.3099465 , -0.27565661],
[ 0.05921693, -0.05881161, -0.26333495, 0.23407101],
[ 0.3099465 , -0.26333495, 0.46648022, -0.33183366],
[-0.27565661, 0.23407101, -0.33183366, 0.2343142 ]
]
assert(cmp_mat(cinv.to_array(), cinv_arr))
var eye = gbl.new_mat(cinv.dimension())
eye.eye(1)
var eye_hat = c.prod(cinv)
assert(eye.is_eq(eye_hat, 1e-12))
eye_hat = cinv.prod(c)
assert(eye.is_eq(eye_hat, 1e-12))
var E = [
[ 5, 11, 17, -17],
[ 11, 25, 39, -39],
[ 17, 39, 61, -61],
[ 23, 53, 83, -83]
]
var e = gbl.new_mat()
e.from_array(E)
assert(e.inv() == null)
var F = [
[ 5, 11],
[ 11, 25],
[ 17, 39],
[ 23, 53]
]
var f = gbl.new_mat()
f.from_array(F)
assert(f.inv() == null)
func test09():
print("test09")
var gbl = GDBlas.new()
var a = gbl.new_complex_mat(4, 2)
var areim = gbl.new_mat(a.dimension())
var A = [
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ],
[ 7, 8 ],
]
areim.from_array(A)
a.real(areim)
areim.mul(-1)
a.imag(areim)
var b = a.copy()
b.H()
var c = a.prod(b)
var C_ = [
[ 10, 22, 34, 46],
[ 22, 50, 78, 106],
[ 34, 78, 122, 166],
[ 46, 106, 166, 226]
]
assert(cmp_mat(c.to_array(), C_))
var d = b.prod(a)
var D = [
[168, 200],
[200, 240],
]
assert(cmp_mat(d.to_array(), D))
d.imag(d.real())
var dinv = d.inv()
var dinv_arr = [
[ C(0.375, -0.375), C(-0.3125, 0.3125) ],
[ C(-0.3125, 0.3125), C(0.2625, -0.2625) ]
]
assert(cmp_mat(dinv.to_array(), dinv_arr))
var eye = gbl.new_mat(dinv.dimension())
eye.eye(1)
var eye_hat = d.prod(dinv)
assert(eye.is_eq(eye_hat, 1e-12))
eye_hat = dinv.prod(d)
assert(eye.is_eq(eye_hat, 1e-12))
func test10():
print("test10")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat()
var mat1_arr = [
[ 10, 22, 34, -46],
[ 22, 50, 78, 106],
[ 340, 78, 122, 166],
[ 46, 10, 16, 226],
[ -460, -100, -160, -26]
]
mat1.from_array(mat1_arr)
assert(mat1.integrate().get(0, 0) == 534)
assert(cmp_mat(mat1.integrate(0).to_array(), [ [ -42, 60, 90, 426 ] ]))
assert(cmp_mat(mat1.integrate(1).to_array(), [ [20], [256], [706], [298], [-746] ]))
assert(cmp_mat(mat1.mean().to_array(), [ [26.7] ]))
assert(cmp_mat(mat1.mean(0).to_array(), [ [ -8.4, 12, 18, 85.2 ] ]))
assert(cmp_mat(mat1.mean(1).to_array(), [ [5], [64], [176.5], [74.5], [-186.5] ]))
assert(cmp_mat(mat1.min().to_array(), [ [-460] ]))
assert(cmp_mat(mat1.min(0).to_array(), [ [ -460, -100, -160, -46 ] ]))
assert(cmp_mat(mat1.min(1).to_array(), [ [-46], [22], [78], [10], [-460] ]))
assert(cmp_mat(mat1.max().to_array(), [ [340] ]))
assert(cmp_mat(mat1.max(0).to_array(), [ [ 340, 78, 122, 226 ] ]))
assert(cmp_mat(mat1.max(1).to_array(), [ [34], [106], [340], [226], [-26] ]))
assert(mat1.argmax() == [ Vector2i(2, 0) ])
assert(mat1.argmax(0) == [ Vector2i(2, 0), Vector2i(2, 1), Vector2i(2, 2), Vector2i(3, 3) ])
assert(mat1.argmax(1) == [ Vector2i(0, 2), Vector2i(1, 3), Vector2i(2, 0), Vector2i(3, 3), Vector2i(4, 3) ])
assert(mat1.argmin() == [ Vector2i(4, 0) ])
assert(mat1.argmin(0) == [ Vector2i(4, 0), Vector2i(4, 1), Vector2i(4, 2), Vector2i(0, 3) ])
assert(mat1.argmin(1) == [ Vector2i(0, 3), Vector2i(1, 0), Vector2i(2, 1), Vector2i(3, 1), Vector2i(4, 0) ])
func test11():
print("test11")
var gbl = GDBlas.new()
var mat1 = gbl.new_complex_mat()
var mat1_arr = [
[ 10, 22, 34, -46],
[ 22, 50, 78, 106],
[ 340, 78, 122, 166],
[ 46, 10, 16, 226],
[ -460, -100, -160, -26]
]
mat1.from_array(mat1_arr)
mat1.imag(mat1.real())
mat1.H()
assert(mat1.integrate().get(0, 0) == C(534, -534))
assert(cmp_mat(mat1.integrate(0).to_array(), [ [ C(20, -20), C(256, -256), C(706, -706), C(298, -298), C(-746, 746) ] ]))
assert(cmp_mat(mat1.integrate(1).to_array(), [ [C(-42, 42)], [C(60, -60)], [C(90, -90)], [C(426, -426)] ]))
assert(cmp_mat(mat1.mean().to_array(), [ [C(26.7, -26.7)] ]))
assert(cmp_mat(mat1.mean(0).to_array(), [ [ C(5, -5), C(64, -64), C(176.5, -176.5), C(74.5, -74.5), C(-186.5, 186.5) ] ]))
assert(cmp_mat(mat1.mean(1).to_array(), [ [C(-8.4, 8.4)], [C(12, -12)], [C(18, -18)], [C(85.2, -85.2)] ]))
assert(mat1.min() == null)
assert(mat1.max() == null)
func test12():
print("test12")
var gbl = GDBlas.new()
var mat1 = gbl.new_mat()
var mat1_arr = [
[ 10, -22, 34, 46],
[ -22, 50, -78, 106],
[ 340, -78, 122, 166],
[ -46, 17, 16, 2.26],
[ 46, 110, -16, 26],
[ -46, 10, 16, 6]
]
mat1.from_array(mat1_arr)
assert(cmp_scalar(mat1.norm(GDBlas.NORM_1), 510))
assert(cmp_scalar(mat1.norm(GDBlas.NORM_INF), 706))
assert(cmp_scalar(mat1.norm(GDBlas.NORM_FRO), 456.734176))
var mat1c = gbl.new_complex_mat()
mat1c.from_array(mat1_arr)
mat1c.imag(mat1c.copy().real())
mat1c.H()
assert(cmp_scalar(mat1c.norm(GDBlas.NORM_1), 998.434775))
assert(cmp_scalar(mat1c.norm(GDBlas.NORM_INF), 721.2489168))
assert(cmp_scalar(mat1c.norm(GDBlas.NORM_FRO), 645.9196662))
func gdblas_cos(a):
if a < 0.74:
return cos(a)
return -1
func gdblas_sin(a, args):
if a < 0.74:
return sin(a + args[0])
return -1
func test13():
print("test13")
var gbl = GDBlas.new()
var x = gbl.linspace(0, 1, 6)
x.T()
assert(cmp_mat(x.to_array(), [ [0, 0.2, 0.4, 0.6, 0.8, 1] ]))
var y = x.copy(); y.pow(0.3)
assert(cmp_mat(y.to_array(), [ [0., 0.61703386, 0.75965779, 0.8579172 , 0.93524845, 1.] ]))
y = x.copy(); y.sin()
assert(cmp_mat(y.to_array(), [ [0. , 0.19866933, 0.38941834, 0.56464247, 0.71735609,
0.84147098] ]))
y = x.copy(); y.cos()
assert(cmp_mat(y.to_array(), [ [1. , 0.98006658, 0.92106099, 0.82533561, 0.69670671,
0.54030231] ]))
y = x.copy(); y.f(gdblas_cos)
assert(cmp_mat(y.to_array(), [ [1. , 0.98006658, 0.92106099, 0.82533561, -1, -1] ]))
y = x.copy(); y.f(gdblas_sin, [ PI / 2])
assert(cmp_mat(y.to_array(), [ [1. , 0.98006658, 0.92106099, 0.82533561, -1, -1] ]))
y = x.copy(); y.mul(-1); y.abs()
assert(cmp_mat(y.to_array(), [ [0, 0.2, 0.4, 0.6, 0.8, 1] ]))
y = x.copy(); y.exp()
assert(cmp_mat(y.to_array(), [ [1. , 1.22140276, 1.4918247 , 1.8221188 , 2.22554093,
2.71828183] ]))
y = x.copy(); y.add(1); y.log()
assert(cmp_mat(y.to_array(), [ [0. , 0.18232156, 0.33647224, 0.47000363, 0.58778666,
0.69314718] ]))
y = x.copy(); y.add(1); y.log10()
assert(cmp_mat(y.to_array(), [ [0. , 0.07918125, 0.14612804, 0.20411998, 0.25527251,
0.30103 ] ]))
y = x.copy(); y.add(1); y.log2()
assert(cmp_mat(y.to_array(), [ [0. , 0.26303441, 0.48542683, 0.67807191, 0.84799691,
1. ] ]))
y = x.copy(); y.sqrt()
assert(cmp_mat(y.to_array(), [ [0. , 0.4472136 , 0.63245553, 0.77459667, 0.89442719,
1. ] ]))
y = x.copy(); y.cbrt()
assert(cmp_mat(y.to_array(), [ [0. , 0.58480355, 0.7368063 , 0.84343267, 0.92831777,
1. ] ]))
func gdblas_exp1(a: Vector2) -> Vector2:
return Vector2(cos(a.y), sin(a.y))
func gdblas_exp2(a: Vector2, args: Array) -> Vector2:
return Vector2(cos(a.y), sin(a.y)) * args[0] + args[1]
func test14():
print("test14")
var gbl = GDBlas.new()
var x = gbl.linspace(0, 1, 6)
var z = gbl.new_complex_mat(x.dimension())
z.imag(x)
z.H()
assert(cmp_mat(z.to_array(), [ [C(0, 0), C(0, -0.2), C(0, -0.4), C(0, -0.6), C(0, -0.8), C(0, -1)] ]))
var y1 = z.copy(); y1.f(gdblas_exp1)
var y2 = z.copy(); y2.exp()
assert(y1.is_eq(y2, 1e-7))
y1 = z.copy(); y1.f(gdblas_exp2, [ 2, C(1, -1) ])
y2 = z.copy(); y2.exp(); y2.mul(2); y2.add(C(1, -1))
assert(y1.is_eq(y2, 1e-6))
var A: GDBlasMat = null
func ode_fx(x: GDBlasMat, t: float):
return A.prod(x)
func test15():
print("test15")
var gbl = GDBlas.new()
var x = gbl.new_mat(5, 1)
if not x.has_method("eval_ode"):
print("ODE not enabled, skipping...")
return
x.fill(1.0)
A = gbl.new_mat(5)
A.eye(-0.01)
x.eval_ode(ode_fx, 1)
var xend = x.copy()
xend.fill(0.99)
assert(x.is_eq(xend, 1e-7))
func _test16_set_mat(a, i: int, j: int):
return i + j;
func test16():
print("test16")
var gbl = GDBlas.new()
var A = gbl.new_mat(4, 3)
A.f(_test16_set_mat, null, true)
var B = A.copy()
B.mul(-1)
var C = A.conv(B)
var C1 = gbl.new_mat(C.dimension())
assert(C1.from_array(
[
[0, 0, -1, -4, -4],
[0, -2, -8, -14, -12],
[-1, -8, -24, -32, -25],
[-4, -20, -52, -60, -44],
[-10, -32, -69, -68, -46],
[-12, -34, -68, -62, -40],
[-9, -24, -46, -40, -25]]
) == 0)
assert(C.is_eq(C1))
var D = A.conv(B, true)
var D1 = gbl.new_mat(A.dimension())
assert(D1.from_array(
[ [-8, -24, -32], [-20, -52, -60], [-32, -69, -68], [-34, -68, -62] ]
) == 0)
assert(D.is_eq(D1))
assert(cmp_mat(D.conv(C1, true).to_array(), [
[2408, 6076, 9424],
[5756, 12696, 17824],
[10126, 20168, 26178],
[13552, 24937, 30392]
]))
func test17():
print("test17")
var gbl = GDBlas.new()
var A = gbl.new_mat(3, 2)
A.from_array([
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ]
])
var packA: PackedFloat64Array = A.pack()
var A2 = gbl.new_mat(A.dimension())
A2.unpack(packA)
assert(A.is_eq(A2))
var B = gbl.new_complex_mat(3, 2)
B.real(A)
B.imag(A)
B.H()
var packB: PackedFloat64Array = B.pack()
assert(packB == PackedFloat64Array([1, -1, 3, -3, 5, -5, 2, -2, 4, -4, 6, -6]))
var packBre: PackedFloat64Array = B.pack(GDBlas.REAL_COMPONENT)
assert(packBre == PackedFloat64Array([1, 3, 5, 2, 4, 6]))
var packBim: PackedFloat64Array = B.pack(GDBlas.IMAG_COMPONENT)
assert(packBim == PackedFloat64Array([-1, -3, -5, -2, -4, -6]))
var B2 = gbl.new_complex_mat(B.dimension())
B2.unpack(packB)
assert(B.is_eq(B2))
var B2re = gbl.new_mat(B.dimension())
B2re.unpack(packBre)
assert(B.real().is_eq(B2re))
var B2im = gbl.new_mat(B.dimension())
B2im.unpack(packBim)
assert(B.imag().is_eq(B2im))
B2.fill(0)
B2.unpack(packBre, GDBlas.REAL_COMPONENT)
B2.unpack(packBre, GDBlas.IMAG_COMPONENT)
B2.T()
B.H()
assert(B.is_eq(B2))
func test18():
print("test18")
var gbl = GDBlas.new()
var A = gbl.new_mat(3, 2)
A.from_array([
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ]
])
var packA: PackedFloat32Array = PackedFloat32Array(Array(range(1, 7)))
var A2 = gbl.new_mat(A.dimension())
A2.unpack(packA)
assert(A2.is_eq(A))
func test19():
print("test19")
var gbl = GDBlas.new()
var A = gbl.new_mat(3, 2)
A.from_array([
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ]
])
var packA: PackedByteArray = PackedByteArray(Array(range(1, 7)))
var A2 = gbl.new_mat(A.dimension())
A2.unpack(packA)
assert(A2.is_eq(A))
func test20():
print("test20")
var gbl = GDBlas.new()
var A = gbl.new_mat(3, 2)
A.from_array([
[ 1, 2 ],
[ 3, 4 ],
[ 5, 6 ]
])
var packA: PackedByteArray = [ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6 ]
var A2 = gbl.new_mat(A.dimension())
A2.unpack(packA, GDBlas.REAL_COMPONENT, 2)
assert(A2.is_eq(A))
func _test21_set_mat(a: float, i: int, j: int):
return i + j + a + 1;
func test21():
print("test21")
const dim = Vector2i(3, 5)
var gbl = GDBlas.new()
var R = gbl.new_mat(dim)
R.f(_test21_set_mat, null, true)
var G = gbl.new_mat(dim)
G.f(_test21_set_mat, null, true)
G.f(_test21_set_mat, null, true)
var B = gbl.new_mat(dim)
B.f(_test21_set_mat, null, true)
B.f(_test21_set_mat, null, true)
B.f(_test21_set_mat, null, true)
var pack: PackedByteArray = gbl.mat_to_image_data([ R, G, B ])
var Ra = R.to_array()
var Ga = G.to_array()
var Ba = B.to_array()
var pack2: PackedByteArray = PackedByteArray()
for i in range(len(Ra)):
for j in range(len(Ra[0])):