PyOpenCLでは独自の数値処理ライブラリ、clmathを提供しています。参考までに実装例を以下に掲載しますが、このライブラリは使用するには便利なものですがパフォーマンス的に問題があります。

筆者のスタンスとしては、このライブラリを使わない方針であり、読者にはPyOpenCLのOpenCLバインディングを経由する方式を推奨します。

CLMathTrigonometry.py. 

import numpy as np
import pyopencl as cl
import pyopencl.array as clarr
import pyopencl.tools as cltool
import pyopencl.clmath as clm
import warnings

import os
os.environ['PYOPENCL_COMPILER_OUTPUT'] = '1'

a = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]).astype(np.float32)
b = np.array([10, 9, 8, 7, 6, 5, 4, 3, 2, 1]).astype(np.float32)

platforms = cl.get_platforms()
ctx = cl.Context([platforms[0].get_devices(cl.device_type.GPU)[0]])
queue = cl.CommandQueue(ctx)

a_mem = clarr.to_device(queue, a)
b_mem = clarr.to_device(queue, b)

# arc trigonometry
acos_result = clm.acos(a_mem / 10)
print("acos: " + str(acos_result))

# cospi = cos(x * pi)
cospi_result = clm.cospi(a_mem)
print("cospi" + str(cospi_result))

sinh_result = clm.sinh(a_mem / 10)
print("sinh: " + str(sinh_result))

cosh_result = clm.cosh(a_mem / 10)
print("cosh: " + str(cosh_result))

# arc tangent, -1/2 * pi < f < 1/2 * pi
atan_result = clm.atan(a_mem)
print("atan: " + str(atan_result))

# atan2 is the arc tangent of y / x.
atan2_result = clm.atan2(a_mem, b_mem)
print("atan2: " + str(atan2_result))

# atanpi computes atan (x) / pi.
atanpi_result = clm.atanpi(a_mem)
print("atanpi: " + str(atanpi_result))

# atan2pi computes atan2 (y, x) / pi.
atan2pi_result = clm.atan2pi(a_mem, b_mem)
print("atan2pi: " + str(atan2pi_result))

# logarithm
log2_result = clm.log2(a_mem)
print("log2: " + str(log2_result))

# Multiply xby 2 to the power n
ldexp_result = clm.ldexp(a_mem, a_mem)
print("ldexp: " + str(ldexp_result))

# Modulus. Returns x - y * trunc (x/y)
fmod_result = clm.fmod(a_mem, b_mem)
print("fmod: " + str(fmod_result))

出力. 

/Library/Frameworks/Python.framework/Versions/3.5/bin/python3.5 /Users/komatsu/PycharmProjects/MyPythonProject/CLMathTrigonometry.py
acos: [ 1.47062898  1.36943841  1.26610374  1.15927958  1.04719758  0.92729521
  0.79539883  0.6435011   0.45102671  0.        ]
cospi[-1.  1. -1.  1. -1.  1. -1.  1. -1.  1.]
sinh: [ 0.10016675  0.201336    0.30452025  0.4107523   0.52109528  0.63665366
  0.75858366  0.88810593  1.0265168   1.17520118]
cosh: [ 1.00500417  1.02006674  1.04533851  1.08107233  1.12762594  1.18546522
  1.25516903  1.33743489  1.43308651  1.54308057]
atan: [ 0.78539819  1.10714877  1.24904585  1.3258177   1.37340081  1.40564775
  1.42889929  1.44644141  1.46013916  1.47112775]
atan2: [ 0.09966865  0.21866895  0.35877067  0.51914608  0.69473827  0.8760581
  1.05165029  1.21202576  1.35212743  1.47112775]
atanpi: [ 0.25        0.3524164   0.39758363  0.42202085  0.43716705  0.44743156
  0.45483276  0.46041659  0.46477669  0.46827447]
atan2pi: [ 0.03172551  0.06960449  0.11420025  0.16524932  0.22114205  0.27885795
  0.33475068  0.38579977  0.43039551  0.46827447]
log2: [ 0.          1.          1.58496249  2.          2.32192802  2.58496261
  2.80735493  3.          3.16992497  3.32192802]
ldexp: [  2.00000000e+00   8.00000000e+00   2.40000000e+01   6.40000000e+01
   1.60000000e+02   3.84000000e+02   8.96000000e+02   2.04800000e+03
   4.60800000e+03   1.02400000e+04]
fmod: [ 1.  2.  3.  4.  5.  1.  3.  2.  1.  0.]