# -*- coding: utf-8 -*-
r"""
OpenCL performance with wave propagation
----------------------------------------

| Script: ``\tests\speed\3_Softi_CXIw2D_speed.py``.
| The test is based on the example ``\examples\withRaycing\14_SoftiMAX\Softi_CXIw2D.py``.

This script calculates several consecutive wave propagation integrals from the
source down to the focus at the sample. Here, each wave is represented by
2·10\ :sup:`5` samples and thus each integral considers 4·10\ :sup:`10`
scattering paths. Such calculations are impossible in numpy and have to be
carried out with the help of OpenCL. Even with OpenCL, these calculations are
not feasible on low end graphics cards and therefore are not exemplified here
on a laptop. Notice also that for the real example a larger number of samples,
> 1·10\ :sup:`6`, should be opted for better convergence.

+--------------------+---------------+---------------+
|       system       | OpenCL on CPU | OpenCL on GPU |
+====+===============+===============+===============+
|[1]_|     |winW|    |      637      |      76.8     |
|    |               |      635      |      76.4     |
|    +---------------+---------------+---------------+
|    |     |linW|    |      602      |      71.1     |
|    |               |      605      |      71.0     |
+----+---------------+---------------+---------------+
|[3]_|     1×K80     |               |      196      |
|    +---------------+---------------+---------------+
|    |     4×K80     |               |      76.5     |
+----+---------------+---------------+---------------+
|[4]_|     1×P100    |               |      53.0     |
|    +---------------+---------------+---------------+
|    |     4×P100    |               |      25.8     |
+----+---------------+---------------+---------------+
|[5]_|Xeon E5-2650 v3|      321      |               |
+----+---------------+---------------+---------------+
|[6]_|Xeon E5-2650 v4|      251      |               |
+----+---------------+---------------+---------------+
|[7]_|Xeon Gold 6130 |      162      |               |
+----+---------------+---------------+---------------+

"""
r"""
Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz:

Python 2.7.10 64 bit on Windows 10:
OpenCL on CPU: shine = 636.7 s (Intel/Intel)
OpenCL on CPU: shine = 1966 s (AMD/Intel)
OpenCL on AMD W9100 GPU: 76.8 s (total)

Python 3.6.1 64 bit on Windows 10:
OpenCL on CPU: shine = 634.9 s (Intel/Intel)
OpenCL on CPU: shine = 1965 s (AMD/Intel)
OpenCL on AMD W9100 GPU: 76.4 s (total)

Python 2.7.12 64 bit on Ubuntu 16.04 LTS:
OpenCL on CPU: shine = 601.5 (Intel/Intel)
no (AMD/Intel)
OpenCL on AMD W9100 GPU: 71.1 s (total)

Python 3.5.2 64 bit on Ubuntu 16.04:
OpenCL on CPU: shine = 605.0 (Intel/Intel)
no (AMD/Intel)
OpenCL on AMD W9100 GPU: 71.0 s (total)


Intel(R) Core(TM) i7-3930K CPU @ 3.20GHz:
no OpenCL, 1 core of CPU: not doable.

Python 2.7.10 64 bit on Windows 7:
OpenCL on CPU: shine = 1956 s
OpenCL on AMD W9100 GPU: 80.3 s (total)

Python 3.6.1 64 bit on Windows 7:
OpenCL on CPU: shine = 2012.2 s
OpenCL on AMD W9100 GPU: 79.4 s (total)

Python 2.7.12 64 bit on Ubuntu 16.04:
OpenCL on CPU: shine = 1944 s
OpenCL on AMD W9100 GPU: 80.0 s (total)

Python 3.5.2 64 bit on Ubuntu 16.04:
OpenCL on CPU: shine = 1963 s
OpenCL on AMD W9100 GPU: 80.4 s (total)

"""
__author__ = "Konstantin Klementiev", "Roman Chernikov"
__date__ = "06 Apr 2017"
#import matplotlib
#matplotlib.use('agg')

import os, sys; sys.path.append(os.path.join('..', '..'))  # analysis:ignore
import numpy as np

import xrt.backends.raycing as raycing
#raycing.targetOpenCL = (0, 0)
#raycing.targetOpenCL = "GPU"
#raycing.precisionOpenCL = 'float32'

import xrt.backends.raycing.sources as rs
import xrt.backends.raycing.apertures as ra
import xrt.backends.raycing.oes as roe
import xrt.backends.raycing.run as rr
import xrt.backends.raycing.materials as rm
import xrt.plotter as xrtp
import xrt.runner as xrtr
import xrt.backends.raycing.screens as rsc
import xrt.backends.raycing.waves as rw

mAu = rm.Material('Au', rho=19.32)
mRh = rm.Material('Rh', rho=12.41)
mGolden = rm.Material('Au', rho=19.32)
mGoldenGrating = rm.Material('Au', rho=19.32, kind='grating')
mRhodiumGrating = rm.Material('Rh', rho=12.41, kind='grating')
mAuFZP = rm.Material('Au', rho=19.3, kind='FZP')
mRhFZP = rm.Material('Rh', rho=12.41, kind='FZP')

E0 = 280.
dE = 0.5
targetHarmonic = 1
acceptanceHor = 2.2e-4  # FE acceptance, full angle, mrad
acceptanceVer = 4.2e-4  # FE acceptance

dFocus = np.linspace(-50, 50, 3)
imageExtent = [-50, 50, -50, 50]

pFE = 19250.
pM1 = 24000.
pPG = 2000.
pM3 = 2800.  # distance to PG
qM3mer = 12000.
qM3sag = 12000.
dM4ES = 2200.
dM45 = 3200.
pExp = 1800.
#pFZP = 5000.

pitch = np.radians(1)

cff = 1.6        # mono parameters
fixedExit = 20.  # mm
rho = 300.       # lines/mm
blaze = np.radians(0.6)

#ESradius = 0.06  # in mm EXIT SLIT RADIUS
ESdX = 2.  # in mm EXIT SLIT RADIUS
ESdZ = 0.1  # in mm EXIT SLIT RADIUS

repeats = 1
nrays = 200000

prefix = '2D-3-wave-'
emittanceFactor = 0.
prefix += '0emit-'
energySpreadFactor = 0.
prefix += '0enSpread-'
prefix += 'monoE-'

vFactor = 1.
hFactor = 1.


class Grating(roe.OE):
    def local_g(self, x, y, rho=rho):
        return 0, -rho, 0  # constant line spacing along y


def build_beamline(azimuth=0):
    beamLine = raycing.BeamLine(azimuth=azimuth, height=0)

    beamLine.source = rs.Undulator(
        beamLine, 'Softi53', nrays=nrays,
        eE=3.0, eI=0.5,  eEspread=0.0008*energySpreadFactor,
        eEpsilonX=0.263*emittanceFactor, eEpsilonZ=0.008*emittanceFactor,
        betaX=9., betaZ=2.,
        period=48., n=77, targetE=(E0, targetHarmonic),
        eMin=E0-dE*vFactor, eMax=E0+dE*vFactor,
        xPrimeMax=acceptanceHor/2*1e3,
        zPrimeMax=acceptanceVer/2*1e3,
        xPrimeMaxAutoReduce=False, zPrimeMaxAutoReduce=False,
        uniformRayDensity=True,
        filamentBeam=True)

    opening = [-acceptanceHor*pFE/2, acceptanceHor*pFE/2,
               -acceptanceVer*pFE/2, acceptanceVer*pFE/2]
    beamLine.slitFE = ra.RectangularAperture(
        beamLine, 'FE slit', kind=['left', 'right', 'bottom', 'top'],
        opening=opening)
    beamLine.fsm0 = rsc.Screen(beamLine, 'FSM-M1')

    beamLine.m1 = roe.ToroidMirror(
        beamLine, 'M1', surface=('Au',), material=(mAu,),
        limPhysX=(-5, 5), limPhysY=(-150, 150),
        positionRoll=np.pi/2, R=1e22, alarmLevel=0.1)
#    beamLine.fsm1 = rsc.Screen(beamLine, 'FSM-M1')

    beamLine.m2 = roe.OE(
        beamLine, 'M2', surface=('Au',), material=(mAu,),
        limPhysX=(-5, 5), limPhysY=(-225, 225), alarmLevel=0.1)

    gratingKW = dict(
        positionRoll=np.pi, limPhysX=(-2, 2),
        limPhysY=(-40, 40), alarmLevel=0.1)
    beamLine.pg = roe.BlazedGrating(
        beamLine, 'BlazedGrating', material=mGolden, blaze=blaze,
        rho=rho, **gratingKW)
    beamLine.pg.order = 1
#    beamLine.fsmPG = rsc.Screen(beamLine, 'FSM-PG')

    beamLine.m3 = roe.ToroidMirror(
        beamLine, 'M3', surface=('Au',), material=(mAu,),
        positionRoll=-np.pi/2, limPhysX=(-10., 10.), limPhysY=(-100., 100.),
        alarmLevel=0.1)
    beamLine.fsm3 = rsc.Screen(beamLine, 'FSM-M3')

#    beamLine.exitSlit = ra.RoundAperture(
#         beamLine, 'ExitSlit', r=ESradius, alarmLevel=None)
    beamLine.exitSlit = ra.RectangularAperture(
         beamLine, 'ExitSlit',
         opening=[-ESdX*hFactor/2, ESdX*hFactor/2,
                  -ESdZ*vFactor/2, ESdZ*vFactor/2])

    beamLine.m4 = roe.EllipticalMirrorParam(
        beamLine, 'M4', surface=('Au',), material=(mAu,),
        positionRoll=np.pi/2, pitch=pitch, isCylindrical=True,
        p=43000., q=dM45+pExp, limPhysX=(-0.5, 0.5),
        limPhysY=(-70., 70.), alarmLevel=0.2)

    beamLine.m5 = roe.EllipticalMirrorParam(
        beamLine, 'M5', surface=('Au',), material=(mAu,),
        yaw=-2*pitch, pitch=pitch, isCylindrical=True,
        p=dM4ES+dM45, q=pExp,
        limPhysX=(-0.5, 0.5), limPhysY=(-40., 40.), alarmLevel=0.2)

    beamLine.fsmExp = rsc.Screen(beamLine, 'FSM-Exp')

    return beamLine


def align_grating(grating, E, m, cff):
    order = abs(m) if cff > 1 else -abs(m)
    f1 = cff**2 + 1
    f2 = cff**2 - 1
    if abs(f2) < 1e-5:
        raise ValueError('cff is not allowed to be close to 1!')

    ml_d = order * rho * rm.ch / E * 1e-7
    cosAlpha = np.sqrt(-ml_d**2 * f1 + 2*abs(ml_d) *
                       np.sqrt(f2**2 + cff**2 * ml_d**2)) / abs(f2)
    cosBeta = cff * cosAlpha
    alpha = np.arccos(cosAlpha)
    beta = -np.arccos(cosBeta)
    return alpha, beta


def align_beamline(beamLine, E0=E0, pitchM1=pitch, pitchM3=pitch,
                   pitchM4=pitch, pitchM5=pitch):
    beamLine.source.center = pM1 * np.sin(2*pitch), \
        -pM1 * np.cos(2*pitch), 0     # centre of undu when M1 is (0,0,0)
    beamLine.slitFE.center = (pM1-pFE) * np.sin(2*pitch), \
        -(pM1-pFE) * np.cos(2*pitch), 0
    beamLine.fsm0.center = beamLine.slitFE.center

    rM1 = 2. * pM1 * np.sin(pitch)
    print('M1: r = {0} mm'.format(rM1))
    beamLine.m1.center = 0, 0, 0   # THIS IS THE ORIGIN!, y-direction = M1-> PG
    beamLine.m1.pitch = pitch
    beamLine.m1.r = rM1
#    beamLine.fsm1.center = beamLine.m1.center
#    beamLine.fsm1.x = -np.sin(beamLine.m1.pitch), np.cos(beamLine.m1.pitch), 0

    if isinstance(beamLine.pg.order, int):
        m = beamLine.pg.order
    else:
        m = beamLine.pg.order[0]
    print('grating order = {0}'.format(m))
    alpha, beta = align_grating(beamLine.pg, E0, m=m, cff=cff)
    includedAngle = alpha - beta
    print('alpha = {0} deg'.format(np.degrees(alpha)))
    print('beta = {0} deg'.format(np.degrees(beta)))
    print('M2 theta angle = {0} deg'.format(np.degrees(includedAngle / 2)))
    print('cos(beta)/cos(alpha) = {0}'.format(np.cos(beta)/np.cos(alpha)))
    t = -fixedExit / np.tan(includedAngle)
    print('t = {0} mm'.format(t))
#    print('N = {0}'.format(Nzone))

    beamLine.m2.pitch = (np.pi - includedAngle) / 2.
    print('M2 pitch = {0} deg'.format(np.degrees(beamLine.m2.pitch)))
    beamLine.m2.pitch = (np.pi - includedAngle) / 2.
    beamLine.m2.center = 0, pPG - t, 0
    beamLine.m2.yaw = -2 * beamLine.m1.pitch

    beamLine.pg.pitch = -(beta + np.pi/2)
    print('PG pitch = {0} deg'.format(np.degrees(beamLine.pg.pitch)))
    beamLine.pg.center = 0, pPG, fixedExit
    beamLine.pg.yaw = -2 * beamLine.m1.pitch
#    beamLine.fsmPG.center = beamLine.pg.center
    print('rho = {0}'.format(rho))
    drho = beamLine.pg.get_grating_area_fraction()
    beamLine.pg.areaFraction = drho
    print(u'PG areaFraction = {0}'.format(beamLine.pg.areaFraction))

#    pM3mer = pM1 + pPG + pM3  # pM3sag = infinity
    sinPitchM3 = np.sin(pitch)
    rM3 = 2. * sinPitchM3 * qM3sag   # focusing
    print('M3: r = {0} mm'.format(rM3))
    beamLine.m3.center = [0, pPG + pM3, fixedExit]
    beamLine.m3.pitch = -pitch  # opposite angles to M1
    beamLine.m3.r = rM3
    beamLine.m3.R = 1e22  # no hor focusing: M3 cylindrical
    beamLine.fsm3.center = beamLine.m3.center

    beamLine.exitSlit.center = -qM3sag * np.sin(2*pitch),\
        beamLine.m3.center[1] + qM3sag * np.cos(2*pitch), fixedExit

    beamLine.m4.center = -(qM3sag+dM4ES) * np.sin(2*pitchM3),\
        beamLine.m3.center[1] + (qM3sag+dM4ES) * np.cos(2*pitchM3), fixedExit
    print('M4: p={0}, q={1}'.format(beamLine.m4.p, beamLine.m4.q))

    beamLine.m5.center = beamLine.m4.center[0],\
        beamLine.m4.center[1] + dM45, fixedExit
    print('M5: p={0}, q={1}'.format(beamLine.m5.p, beamLine.m5.q))

#    beamLine.fsmExp.center = \
#        beamLine.m4.center[0] + (dM45+pExp) * np.sin(pitchM3-pitchM4),\
#        beamLine.m4.center[1] + (pExp+dM45) * np.cos(pitchM3-pitchM4),\
#        fixedExit + pExp*np.tan(2*pitchM5)
#    beamLine.fsmExp.z = 0, -np.sin(2*pitchM5), np.cos(2*pitchM5)

    beamLine.fsmExpCenters = []
    for d in dFocus:
        p = pExp + d
        beamLine.fsmExpCenters.append(
            [beamLine.m4.center[0] + (dM45+p) * np.sin(pitchM3-pitchM4),
             beamLine.m4.center[1] + (dM45+p) * np.cos(pitchM3-pitchM4),
             beamLine.m4.center[2] + p * np.tan(2*pitchM5)])


def run_process_wave(beamLine, shineOnly1stSource=False):
    fixedEnergy = E0

    waveOnSamples = []
    for fsmExpCenter in beamLine.fsmExpCenters:
        beamLine.fsmExp.center = fsmExpCenter
        waveOnSample = beamLine.fsmExp.prepare_wave(
                beamLine.m5, beamLine.fsmExpX, beamLine.fsmExpZ)
        waveOnSamples.append(waveOnSample)

    wrepeats = 1
    for repeat in range(wrepeats):
        if wrepeats > 1:
            print('wave repeats: {0} of {1} ...'.format(repeat+1, wrepeats))

        waveOnSlit = beamLine.slitFE.prepare_wave(beamLine.source, nrays)
        beamSource = beamLine.source.shine(wave=waveOnSlit,
                                           fixedEnergy=fixedEnergy)
        beamFSM0 = waveOnSlit

        waveOnm1 = beamLine.m1.prepare_wave(beamLine.slitFE, nrays)
        beamTom1 = rw.diffract(waveOnSlit, waveOnm1)
        beamM1global, beamM1local = beamLine.m1.reflect(
            beamTom1, noIntersectionSearch=True)

        waveOnm2 = beamLine.m2.prepare_wave(beamLine.m1, nrays)
        beamTom2 = rw.diffract(beamM1local, waveOnm2)
        beamM2global, beamM2local = beamLine.m2.reflect(
            beamTom2, noIntersectionSearch=True)

        waveOnPG = beamLine.pg.prepare_wave(beamLine.m2, nrays)
        beamToPG = rw.diffract(beamM2local, waveOnPG)
        beamPGglobal, beamPGlocal = beamLine.pg.reflect(
            beamToPG, noIntersectionSearch=True)

        beamPGlocal.area = 0
        beamPGlocal.areaFraction = beamLine.pg.areaFraction

        waveOnm3 = beamLine.m3.prepare_wave(beamLine.pg, nrays)
        beamTom3 = rw.diffract(beamPGlocal, waveOnm3)
#        beamM3local = waveOnm3
        beamM3global, beamM3local = beamLine.m3.reflect(
            beamTom3, noIntersectionSearch=True)

        waveOnExitSlit = beamLine.exitSlit.prepare_wave(beamLine.m3, nrays)
        rw.diffract(beamM3local, waveOnExitSlit)
        beamExitSlit = waveOnExitSlit

        waveOnm4 = beamLine.m4.prepare_wave(beamLine.exitSlit, nrays)
        beamTom4 = rw.diffract(waveOnExitSlit, waveOnm4)
        beamM4global, beamM4local = beamLine.m4.reflect(
            beamTom4, noIntersectionSearch=True)

        waveOnm5 = beamLine.m5.prepare_wave(beamLine.m4, nrays)
        beamTom5 = rw.diffract(beamM4local, waveOnm5)
        beamM5global, beamM5local = beamLine.m5.reflect(
            beamTom5, noIntersectionSearch=True)

        for waveOnSample in waveOnSamples:
            rw.diffract(beamM5local, waveOnSample)

    outDict = {'beamSource': beamSource,
               'beamFSM0': beamFSM0,
               'beamM1local': beamM1local,
               'beamM2local': beamM2local,
               'beamPGlocal': beamPGlocal,
               'beamM3local': beamM3local,
               'beamExitSlit': beamExitSlit,
               'beamM4local': beamM4local,
               'beamM5local': beamM5local,
               }

    for ic, waveOnSample in enumerate(waveOnSamples):
        outDict['beamFSMExp{0:02d}'.format(ic)] = waveOnSample

    return outDict
rr.run_process = run_process_wave


def define_plots(beamLine):
    plots = []

    for ic, (fsmExpCenter, d) in enumerate(
            zip(beamLine.fsmExpCenters, dFocus)):
        plot = xrtp.XYCPlot(
            'beamFSMExp{0:02d}'.format(ic), (1,), aspect='auto',
            xaxis=xrtp.XYCAxis(r'$x$', u'µm', bins=64, ppb=4),
            yaxis=xrtp.XYCAxis(r'$z$', u'µm', bins=64, ppb=4),
            fluxKind='s', title='08i-ExpFocus-Is{0:02d}'.format(ic))
        plot.xaxis.limits = [imageExtent[0], imageExtent[1]]
        plot.yaxis.limits = [imageExtent[2], imageExtent[3]]
        plot.textPanel = plot.fig.text(
            0.88, 0.8, u'f{0:+.0f} mm'.format(d),
            transform=plot.fig.transFigure, size=12, color='r', ha='center')
        plots.append(plot)

    ax = plot.xaxis
    edges = np.linspace(ax.limits[0], ax.limits[1], ax.bins+1)
    beamLine.fsmExpX = (edges[:-1] + edges[1:]) * 0.5 / ax.factor
    ax = plot.yaxis
    edges = np.linspace(ax.limits[0], ax.limits[1], ax.bins+1)
    beamLine.fsmExpZ = (edges[:-1] + edges[1:]) * 0.5 / ax.factor

    for plot in plots:
        plot.saveName = [prefix + plot.title + '.png', ]
        if plot.caxis.label.startswith('energy'):
            plot.caxis.limits = E0-dE*vFactor, E0+dE*vFactor
            plot.caxis.offset = E0
        if plot.fluxKind.startswith('power'):
            plot.fluxFormatStr = '%.0f'
        else:
            plot.fluxFormatStr = '%.1p'
    return plots


def main():
    beamLine = build_beamline(azimuth=-2*pitch)
    align_beamline(beamLine)
    plots = define_plots(beamLine)
    xrtr.run_ray_tracing(plots, repeats=repeats, beamLine=beamLine)


if __name__ == '__main__':
    main()
