我们从Python开源项目中，提取了以下50个代码示例，用于说明如何使用cmath.cos()。
def COS(df, price='Close'): """ Cosine """ cos_list = [] i = 0 while i < len(df[price]): cos = cmath.cos(df[price][i]).real cos_list.append(cos) i += 1 return cos_list
def test_trig_hyperb_basic(): for x in (list(range(100)) + list(range(-100,0))): t = x / 4.1 assert cos(mpf(t)).ae(math.cos(t)) assert sin(mpf(t)).ae(math.sin(t)) assert tan(mpf(t)).ae(math.tan(t)) assert cosh(mpf(t)).ae(math.cosh(t)) assert sinh(mpf(t)).ae(math.sinh(t)) assert tanh(mpf(t)).ae(math.tanh(t)) assert sin(1+1j).ae(cmath.sin(1+1j)) assert sin(-4-3.6j).ae(cmath.sin(-4-3.6j)) assert cos(1+1j).ae(cmath.cos(1+1j)) assert cos(-4-3.6j).ae(cmath.cos(-4-3.6j))
def test_degrees(): assert cos(0*degree) == 1 assert cos(90*degree).ae(0) assert cos(180*degree).ae(-1) assert cos(270*degree).ae(0) assert cos(360*degree).ae(1) assert sin(0*degree) == 0 assert sin(90*degree).ae(1) assert sin(180*degree).ae(0) assert sin(270*degree).ae(-1) assert sin(360*degree).ae(0)
def test_complex_functions(): for x in (list(range(10)) + list(range(-10,0))): for y in (list(range(10)) + list(range(-10,0))): z = complex(x, y)/4.3 + 0.01j assert exp(mpc(z)).ae(cmath.exp(z)) assert log(mpc(z)).ae(cmath.log(z)) assert cos(mpc(z)).ae(cmath.cos(z)) assert sin(mpc(z)).ae(cmath.sin(z)) assert tan(mpc(z)).ae(cmath.tan(z)) assert sinh(mpc(z)).ae(cmath.sinh(z)) assert cosh(mpc(z)).ae(cmath.cosh(z)) assert tanh(mpc(z)).ae(cmath.tanh(z))
def test_complex_inverse_functions(): mp.dps = 15 iv.dps = 15 for (z1, z2) in random_complexes(30): # apparently cmath uses a different branch, so we # can't use it for comparison assert sinh(asinh(z1)).ae(z1) # assert acosh(z1).ae(cmath.acosh(z1)) assert atanh(z1).ae(cmath.atanh(z1)) assert atan(z1).ae(cmath.atan(z1)) # the reason we set a big eps here is that the cmath # functions are inaccurate assert asin(z1).ae(cmath.asin(z1), rel_eps=1e-12) assert acos(z1).ae(cmath.acos(z1), rel_eps=1e-12) one = mpf(1) for i in range(-9, 10, 3): for k in range(-9, 10, 3): a = 0.9*j*10**k + 0.8*one*10**i b = cos(acos(a)) assert b.ae(a) b = sin(asin(a)) assert b.ae(a) one = mpf(1) err = 2*10**-15 for i in range(-9, 9, 3): for k in range(-9, 9, 3): a = -0.9*10**k + j*0.8*one*10**i b = cosh(acosh(a)) assert b.ae(a, err) b = sinh(asinh(a)) assert b.ae(a, err)
def test_mpcfun_real_imag(): mp.dps = 15 x = mpf(0.3) y = mpf(0.4) assert exp(mpc(x,0)) == exp(x) assert exp(mpc(0,y)) == mpc(cos(y),sin(y)) assert cos(mpc(x,0)) == cos(x) assert sin(mpc(x,0)) == sin(x) assert cos(mpc(0,y)) == cosh(y) assert sin(mpc(0,y)) == mpc(0,sinh(y)) assert cospi(mpc(x,0)) == cospi(x) assert sinpi(mpc(x,0)) == sinpi(x) assert cospi(mpc(0,y)).ae(cosh(pi*y)) assert sinpi(mpc(0,y)).ae(mpc(0,sinh(pi*y))) c, s = cospi_sinpi(mpc(x,0)) assert c == cospi(x) assert s == sinpi(x) c, s = cospi_sinpi(mpc(0,y)) assert c.ae(cosh(pi*y)) assert s.ae(mpc(0,sinh(pi*y))) c, s = cos_sin(mpc(x,0)) assert c == cos(x) assert s == sin(x) c, s = cos_sin(mpc(0,y)) assert c == cosh(y) assert s == mpc(0,sinh(y))
def _sinpi_real(x): if x < 0: return -_sinpi_real(-x) n, r = divmod(x, 0.5) r *= pi n %= 4 if n == 0: return math.sin(r) if n == 1: return math.cos(r) if n == 2: return -math.sin(r) if n == 3: return -math.cos(r)
def _cospi_real(x): if x < 0: x = -x n, r = divmod(x, 0.5) r *= pi n %= 4 if n == 0: return math.cos(r) if n == 1: return -math.sin(r) if n == 2: return -math.cos(r) if n == 3: return math.sin(r)
def _sinpi_complex(z): if z.real < 0: return -_sinpi_complex(-z) n, r = divmod(z.real, 0.5) z = pi*complex(r, z.imag) n %= 4 if n == 0: return cmath.sin(z) if n == 1: return cmath.cos(z) if n == 2: return -cmath.sin(z) if n == 3: return -cmath.cos(z)
def _cospi_complex(z): if z.real < 0: z = -z n, r = divmod(z.real, 0.5) z = pi*complex(r, z.imag) n %= 4 if n == 0: return cmath.cos(z) if n == 1: return -cmath.sin(z) if n == 2: return -cmath.cos(z) if n == 3: return cmath.sin(z)
def circulate(pos): theta = 2*pi*pos/len(chords) x = int(abs(scale+margin+scale*cos(theta))) y = int(abs(scale+margin+scale*sin(theta))) return x,y
def test_complex_inverse_functions(): for (z1, z2) in random_complexes(30): # apparently cmath uses a different branch, so we # can't use it for comparison assert sinh(asinh(z1)).ae(z1) # assert acosh(z1).ae(cmath.acosh(z1)) assert atanh(z1).ae(cmath.atanh(z1)) assert atan(z1).ae(cmath.atan(z1)) # the reason we set a big eps here is that the cmath # functions are inaccurate assert asin(z1).ae(cmath.asin(z1), rel_eps=1e-12) assert acos(z1).ae(cmath.acos(z1), rel_eps=1e-12) one = mpf(1) for i in range(-9, 10, 3): for k in range(-9, 10, 3): a = 0.9*j*10**k + 0.8*one*10**i b = cos(acos(a)) assert b.ae(a) b = sin(asin(a)) assert b.ae(a) one = mpf(1) err = 2*10**-15 for i in range(-9, 9, 3): for k in range(-9, 9, 3): a = -0.9*10**k + j*0.8*one*10**i b = cosh(acosh(a)) assert b.ae(a, err) b = sinh(asinh(a)) assert b.ae(a, err)
def funToVec( tgtfun, low=-1, high=1, steps=40, EqualSpacing=0 ): '''Compute x,y points from evaluating a target function over an interval (low to high) at evenly spaces points or with Chebyshev abscissa spacing (default) ''' if EqualSpacing: h = (0.0+high-low)/steps xvec = [low+h/2.0+h*i for i in range(steps)] else: scale, base = (0.0+high-low)/2.0, (0.0+high+low)/2.0 xvec = [base+scale*math.cos(((2*steps-1-2*i)*math.pi)/(2*steps)) for i in range(steps)] yvec = map(tgtfun, xvec) return Mat( [xvec, yvec] )
def test_trig_hyperb_basic(): for x in (range(100) + range(-100,0)): t = x / 4.1 assert cos(mpf(t)).ae(math.cos(t)) assert sin(mpf(t)).ae(math.sin(t)) assert tan(mpf(t)).ae(math.tan(t)) assert cosh(mpf(t)).ae(math.cosh(t)) assert sinh(mpf(t)).ae(math.sinh(t)) assert tanh(mpf(t)).ae(math.tanh(t)) assert sin(1+1j).ae(cmath.sin(1+1j)) assert sin(-4-3.6j).ae(cmath.sin(-4-3.6j)) assert cos(1+1j).ae(cmath.cos(1+1j)) assert cos(-4-3.6j).ae(cmath.cos(-4-3.6j))
def test_complex_functions(): for x in (range(10) + range(-10,0)): for y in (range(10) + range(-10,0)): z = complex(x, y)/4.3 + 0.01j assert exp(mpc(z)).ae(cmath.exp(z)) assert log(mpc(z)).ae(cmath.log(z)) assert cos(mpc(z)).ae(cmath.cos(z)) assert sin(mpc(z)).ae(cmath.sin(z)) assert tan(mpc(z)).ae(cmath.tan(z)) assert sinh(mpc(z)).ae(cmath.sinh(z)) assert cosh(mpc(z)).ae(cmath.cosh(z)) assert tanh(mpc(z)).ae(cmath.tanh(z))
def test_cospi_sinpi(): assert sinpi(0) == 0 assert sinpi(0.5) == 1 assert sinpi(1) == 0 assert sinpi(1.5) == -1 assert sinpi(2) == 0 assert sinpi(2.5) == 1 assert sinpi(-0.5) == -1 assert cospi(0) == 1 assert cospi(0.5) == 0 assert cospi(1) == -1 assert cospi(1.5) == 0 assert cospi(2) == 1 assert cospi(2.5) == 0 assert cospi(-0.5) == 0 assert cospi(100000000000.25).ae(sqrt(2)/2) a = cospi(2+3j) assert a.real.ae(cos((2+3j)*pi).real) assert a.imag == 0 b = sinpi(2+3j) assert b.imag.ae(sin((2+3j)*pi).imag) assert b.real == 0 mp.dps = 35 x1 = mpf(10000) - mpf('1e-15') x2 = mpf(10000) + mpf('1e-15') x3 = mpf(10000.5) - mpf('1e-15') x4 = mpf(10000.5) + mpf('1e-15') x5 = mpf(10001) - mpf('1e-15') x6 = mpf(10001) + mpf('1e-15') x7 = mpf(10001.5) - mpf('1e-15') x8 = mpf(10001.5) + mpf('1e-15') mp.dps = 15 M = 10**15 assert (sinpi(x1)*M).ae(-pi) assert (sinpi(x2)*M).ae(pi) assert (cospi(x3)*M).ae(pi) assert (cospi(x4)*M).ae(-pi) assert (sinpi(x5)*M).ae(pi) assert (sinpi(x6)*M).ae(-pi) assert (cospi(x7)*M).ae(-pi) assert (cospi(x8)*M).ae(pi) assert 0.999 < cospi(x1, rounding='d') < 1 assert 0.999 < cospi(x2, rounding='d') < 1 assert 0.999 < sinpi(x3, rounding='d') < 1 assert 0.999 < sinpi(x4, rounding='d') < 1 assert -1 < cospi(x5, rounding='d') < -0.999 assert -1 < cospi(x6, rounding='d') < -0.999 assert -1 < sinpi(x7, rounding='d') < -0.999 assert -1 < sinpi(x8, rounding='d') < -0.999 assert (sinpi(1e-15)*M).ae(pi) assert (sinpi(-1e-15)*M).ae(-pi) assert cospi(1e-15) == 1 assert cospi(1e-15, rounding='d') < 1
