def calculate_eigenvalues():
try:
size = request.args.get('width', 1, type=int)
matrix = to_fraction([
request.args.getlist('matrix[{}][]'.format(i), )
for i in range(size)
])
if (matrix != matrix.T).any():
return jsonify(prefix='???',
result='',
message="Matrix must be symmetric :(",
ok=False)
res, history = eignvalues_approximately(matrix, return_history=True)
res = '<br>'.join(map(lambda x: str(round(x, 6)), res))
except Exception as e:
print(repr(e))
return jsonify(prefix='???',
result='',
message="Something went wrong :(",
ok=False)
return jsonify(prefix='Eigenvalues = <br>',
result=res,
history=[([[str(round(c, 6)) for c in r]
for r in h[0]], (str(h[1][0]), str(h[1][1])))
for h in history],
message="Successfully calculated!",
ok=True)
def calculate_jordan():
try:
size = request.args.get('width', 1, type=int)
matrix = to_fraction([
request.args.getlist('matrix[{}][]'.format(i), )
for i in range(size)
])
j, c = jordan_form(matrix)
except:
return jsonify(matrix=[[0] * size] * size,
message="Something went wrong :(",
ok=False)
return jsonify(matrix=[[fraction_to_str(x) for x in v] for v in j],
message="Successfully calculated!",
ok=True)
def calculate_gauss():
try:
width = request.args.get('width', 1, type=int)
height = request.args.get('height', 1, type=int)
matrix = to_fraction([
request.args.getlist('matrix[{}][]'.format(i), )
for i in range(height)
])
m = gauss_elim(matrix)
except:
return jsonify(matrix=[[0] * width] * height,
message="Something went wrong :(",
ok=False)
return jsonify(matrix=[[fraction_to_str(x) for x in v] for v in m],
message="Successfully calculated!",
ok=True)
def calculate_determinant():
try:
size = request.args.get('width', 1, type=int)
matrix = to_fraction([
request.args.getlist('matrix[{}][]'.format(i), )
for i in range(size)
])
res = det_m(matrix)
except:
return jsonify(prefix='???',
result='',
message="Something went wrong :(",
ok=False)
return jsonify(prefix='Det = ',
result=fraction_to_str(res),
message="Successfully calculated!",
ok=True)
def calculate_inverse():
try:
size = request.args.get('width', 1, type=int)
matrix = to_fraction([
request.args.getlist('matrix[{}][]'.format(i), )
for i in range(size)
])
_, rank = gauss_elim(matrix, return_rank=True)
if rank != len(matrix):
return jsonify(matrix=[[0] * size] * size,
message="No solution Det = 0",
ok=False)
m = inverse_m(matrix)
except:
return jsonify(matrix=[[0] * size] * size,
message="Something went wrong :(",
ok=False)
return jsonify(matrix=[[fraction_to_str(x) for x in v] for v in m],
message="Successfully calculated!",
ok=True)