"""
Module containing functions dedicated to the write down of the output of n3fit
The goal is to generate the same folder/file structure as the old nnfit code
so previously active scripts can still work.
"""
import json
import logging
import numpy as np
import n3fit
from n3fit import vpinterface
import validphys
from validphys.utils import yaml_safe
log = logging.getLogger(__name__)
XGRID = np.array(
[
1.00000000000000e-09,
1.29708482343957e-09,
1.68242903474257e-09,
2.18225315420583e-09,
2.83056741739819e-09,
3.67148597892941e-09,
4.76222862935315e-09,
6.17701427376180e-09,
8.01211109898438e-09,
1.03923870607245e-08,
1.34798064073805e-08,
1.74844503691778e-08,
2.26788118881103e-08,
2.94163370300835e-08,
3.81554746595878e-08,
4.94908707232129e-08,
6.41938295708371e-08,
8.32647951986859e-08,
1.08001422993829e-07,
1.40086873081130e-07,
1.81704331793772e-07,
2.35685551545377e-07,
3.05703512595323e-07,
3.96522309841747e-07,
5.14321257236570e-07,
6.67115245136676e-07,
8.65299922973143e-07,
1.12235875241487e-06,
1.45577995547683e-06,
1.88824560514613e-06,
2.44917352454946e-06,
3.17671650028717e-06,
4.12035415232797e-06,
5.34425265752090e-06,
6.93161897806315e-06,
8.99034258238145e-06,
1.16603030112258e-05,
1.51228312288769e-05,
1.96129529349212e-05,
2.54352207134502e-05,
3.29841683435992e-05,
4.27707053972016e-05,
5.54561248105849e-05,
7.18958313632514e-05,
9.31954227979614e-05,
1.20782367731330e-04,
1.56497209466554e-04,
2.02708936328495e-04,
2.62459799331951e-04,
3.39645244168985e-04,
4.39234443000422e-04,
5.67535660104533e-04,
7.32507615725537e-04,
9.44112105452451e-04,
1.21469317686978e-03,
1.55935306118224e-03,
1.99627451141338e-03,
2.54691493736552e-03,
3.23597510213126e-03,
4.09103436509565e-03,
5.14175977083962e-03,
6.41865096062317e-03,
7.95137940306351e-03,
9.76689999624100e-03,
1.18876139251364e-02,
1.43298947643919e-02,
1.71032279460271e-02,
2.02100733925079e-02,
2.36463971369542e-02,
2.74026915728357e-02,
3.14652506132444e-02,
3.58174829282429e-02,
4.04411060163317e-02,
4.53171343973807e-02,
5.04266347950069e-02,
5.57512610084339e-02,
6.12736019390519e-02,
6.69773829498255e-02,
7.28475589986517e-02,
7.88703322292727e-02,
8.50331197801452e-02,
9.13244910278679e-02,
9.77340879783772e-02,
1.04252538208639e-01,
1.10871366547237e-01,
1.17582909372878e-01,
1.24380233801599e-01,
1.31257062945031e-01,
1.38207707707289e-01,
1.45227005135651e-01,
1.52310263065985e-01,
1.59453210652156e-01,
1.66651954293987e-01,
1.73902938455578e-01,
1.81202910873333e-01,
1.88548891679097e-01,
1.95938145999193e-01,
2.03368159629765e-01,
2.10836617429103e-01,
2.18341384106561e-01,
2.25880487124065e-01,
2.33452101459503e-01,
2.41054536011681e-01,
2.48686221452762e-01,
2.56345699358723e-01,
2.64031612468684e-01,
2.71742695942783e-01,
2.79477769504149e-01,
2.87235730364833e-01,
2.95015546847664e-01,
3.02816252626866e-01,
3.10636941519503e-01,
3.18476762768082e-01,
3.26334916761672e-01,
3.34210651149156e-01,
3.42103257303627e-01,
3.50012067101685e-01,
3.57936449985571e-01,
3.65875810279643e-01,
3.73829584735962e-01,
3.81797240286494e-01,
3.89778271981947e-01,
3.97772201099286e-01,
4.05778573402340e-01,
4.13796957540671e-01,
4.21826943574548e-01,
4.29868141614175e-01,
4.37920180563205e-01,
4.45982706956990e-01,
4.54055383887562e-01,
4.62137890007651e-01,
4.70229918607142e-01,
4.78331176755675e-01,
4.86441384506059e-01,
4.94560274153348e-01,
5.02687589545177e-01,
5.10823085439086e-01,
5.18966526903235e-01,
5.27117688756998e-01,
5.35276355048428e-01,
5.43442318565661e-01,
5.51615380379768e-01,
5.59795349416641e-01,
5.67982042055800e-01,
5.76175281754088e-01,
5.84374898692498e-01,
5.92580729444440e-01,
6.00792616663950e-01,
6.09010408792398e-01,
6.17233959782450e-01,
6.25463128838069e-01,
6.33697780169485e-01,
6.41937782762089e-01,
6.50183010158361e-01,
6.58433340251944e-01,
6.66688655093089e-01,
6.74948840704708e-01,
6.83213786908386e-01,
6.91483387159697e-01,
6.99757538392251e-01,
7.08036140869916e-01,
7.16319098046733e-01,
7.24606316434025e-01,
7.32897705474271e-01,
7.41193177421404e-01,
7.49492647227008e-01,
7.57796032432224e-01,
7.66103253064927e-01,
7.74414231541921e-01,
7.82728892575836e-01,
7.91047163086478e-01,
7.99368972116378e-01,
8.07694250750291e-01,
8.16022932038457e-01,
8.24354950923382e-01,
8.32690244169987e-01,
8.41028750298844e-01,
8.49370409522600e-01,
8.57715163684985e-01,
8.66062956202683e-01,
8.74413732009721e-01,
8.82767437504206e-01,
8.91124020497459e-01,
8.99483430165226e-01,
9.07845617001021e-01,
9.16210532771399e-01,
9.24578130473112e-01,
9.32948364292029e-01,
9.41321189563734e-01,
9.49696562735755e-01,
9.58074441331298e-01,
9.66454783914439e-01,
9.74837550056705e-01,
9.83222700304978e-01,
9.91610196150662e-01,
1.00000000000000e00,
]
)
[docs]
class WriterWrapper:
def __init__(self, replica_numbers, pdf_objects, stopping_object, all_chi2s, theory, timings):
"""
Initializes the writer for all replicas.
This is decoupled from the writing of the fit in order to fix some of the variables
which would be, in principle, be shared by several different history objects.
Parameters
----------
`replica_numbers`
indices of the replicas
`pdf_objects`
function to evaluate with a grid in x to generate a pdf
`stopping_object`
a stopping.Stopping object
`all_chi2s`
list of all the chi2s, in the order: tr_chi2, vl_chi2, true_chi2
`theory`
theory information of the fit
`timings`
dictionary of the timing of the different events that happened
"""
self.replica_numbers = replica_numbers
self.pdf_objects = pdf_objects
self.stopping_object = stopping_object
self.theory = theory
self.timings = timings
self.tr_chi2, self.vl_chi2, self.true_chi2 = all_chi2s
[docs]
def write_data(self, save_path, fitname, weights_name):
"""
Save all the data of a fit, for all replicas.
Parameters
----------
`save_path`
path for the fit results, ex: `${PWD}/runcard_name/nnfit`
`fitname`
name of the fit, ex: `Basic_runcard`
`weights_name`
name of the file to save weights to, if not empty
"""
save_path.mkdir(exist_ok=True, parents=True)
self.preprocessing = []
self.arc_lengths = []
self.integrability_numbers = []
for pdf_object in self.pdf_objects:
self.preprocessing.append(pdf_object.get_preprocessing_factors())
self.arc_lengths.append(vpinterface.compute_arclength(pdf_object).tolist())
self.integrability_numbers.append(
vpinterface.integrability_numbers(pdf_object).tolist()
)
for i, rn in enumerate(self.replica_numbers):
replica_path = save_path / f"replica_{rn}"
replica_path.mkdir(exist_ok=True, parents=True)
self._write_chi2s(replica_path / "chi2exps.log")
self._write_metadata_json(i, replica_path / f"{fitname}.json")
self._export_pdf_grid(i, replica_path / f"{fitname}.exportgrid")
if weights_name:
self._write_weights(i, replica_path / f"{weights_name}")
def _write_chi2s(self, out_path):
# Note: same for all replicas, unless run separately
chi2_log = self.stopping_object.chi2exps_json()
with open(out_path, "w", encoding="utf-8") as fs:
json.dump(chi2_log, fs, indent=2, cls=SuperEncoder)
def _write_metadata_json(self, i, out_path):
json_dict = jsonfit(
best_epoch=self.stopping_object.e_best_chi2[i],
positivity_status=self.stopping_object.positivity_statuses[i],
preprocessing=self.preprocessing[i],
arc_lengths=self.arc_lengths[i],
integrability_numbers=self.integrability_numbers[i],
tr_chi2=self.tr_chi2[i],
vl_chi2=self.vl_chi2[i],
true_chi2=self.true_chi2[i],
# Note: the 2 arguments below are the same for all replicas, unless run separately
timing=self.timings,
stop_epoch=self.stopping_object.stop_epoch,
)
with open(out_path, "w", encoding="utf-8") as fs:
json.dump(json_dict, fs, indent=2, cls=SuperEncoder)
fs.write('\n')
log.info(
"Best fit for replica #%d, chi2=%.3f (tr=%.3f, vl=%.3f)",
self.replica_numbers[i],
self.true_chi2[i],
self.tr_chi2[i],
self.vl_chi2[i],
)
def _export_pdf_grid(self, i, out_path):
storefit(self.pdf_objects[i], self.replica_numbers[i], out_path, self.theory)
def _write_weights(self, i, out_path):
log.info(" > Saving the weights for future in %s", out_path)
# Extract model out of N3PDF
model = self.pdf_objects[i]._models[0]
model.save_weights(out_path)
[docs]
class SuperEncoder(json.JSONEncoder):
"""Custom json encoder to get around the fact that np.float32 =/= float"""
[docs]
def default(self, o):
if isinstance(o, np.float32):
return float(o)
return super().default(o)
[docs]
def jsonfit(
best_epoch,
positivity_status,
preprocessing,
arc_lengths,
integrability_numbers,
tr_chi2,
vl_chi2,
true_chi2,
stop_epoch,
timing,
):
"""Generates a dictionary containing all relevant metadata for the fit
Parameters
----------
best_epoch: int
epoch at which the best fit was found
positivity_status: str
string describing the positivity status of the fit
preprocessing: dict
dictionary of the preprocessing factors
arc_lengths: list
list of the arc lengths of the different PDFs
integrability_numbers: list
list of the integrability numbers of the different PDFs
tr_chi2: float
chi2 for the training
vl_chi2: float
chi2 for the validation
true_chi2: float
chi2 for the exp (unreplica'd data)
epoch_stop: int
epoch at which the stopping stopped (not the one for the best fit!)
timing: dict
dictionary of the timing of the different events that happened
"""
all_info = {}
# Generate preprocessing information
all_info["preprocessing"] = preprocessing
# .fitinfo-like info
all_info["stop_epoch"] = stop_epoch
all_info["best_epoch"] = best_epoch
all_info["erf_tr"] = tr_chi2
all_info["erf_vl"] = vl_chi2
all_info["chi2"] = true_chi2
all_info["pos_state"] = positivity_status
all_info["arc_lengths"] = arc_lengths
all_info["integrability"] = integrability_numbers
all_info["timing"] = timing
# Versioning info
all_info["version"] = version()
return all_info
[docs]
def version():
"""Generates a dictionary with misc version info for this run"""
versions = {}
try:
import keras
versions["keras"] = f"{keras.__version__} backend={keras.backend()}"
if keras.backend.backend() == "tensorflow":
import tensorflow as tf
versions["tensorflow"] = tf.__version__
elif keras.backend.backend() == "torch":
import torch
versions["torch"] == torch.__version__
except:
# We don't want _any_ uncaught exception to crash the whole program at this point
pass
versions["numpy"] = np.__version__
versions["nnpdf"] = n3fit.__version__
try:
versions["validphys"] = validphys.__version__
except AttributeError:
versions["validphys"] = "unknown"
return versions
[docs]
def evln2lha(evln, nf=6):
# evln Basis
# {"PHT","SNG","GLU","VAL","V03","V08","V15","V24","V35","T03","T08","T15","T24","T35"};
# lha Basis:
# {"TBAR","BBAR","CBAR","SBAR","UBAR","DBAR","GLUON","D","U","S","C","B","T","PHT"}
lha = np.zeros(evln.shape)
lha[13] = evln[0]
lha[6] = evln[2]
lha[8] = (
10 * evln[1]
+ 30 * evln[9]
+ 10 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
+ 10 * evln[3]
+ 30 * evln[4]
+ 10 * evln[5]
+ 5 * evln[6]
+ 3 * evln[7]
+ 2 * evln[8]
) / 120
lha[4] = (
10 * evln[1]
+ 30 * evln[9]
+ 10 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
- 10 * evln[3]
- 30 * evln[4]
- 10 * evln[5]
- 5 * evln[6]
- 3 * evln[7]
- 2 * evln[8]
) / 120
lha[7] = (
10 * evln[1]
- 30 * evln[9]
+ 10 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
+ 10 * evln[3]
- 30 * evln[4]
+ 10 * evln[5]
+ 5 * evln[6]
+ 3 * evln[7]
+ 2 * evln[8]
) / 120
lha[5] = (
10 * evln[1]
- 30 * evln[9]
+ 10 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
- 10 * evln[3]
+ 30 * evln[4]
- 10 * evln[5]
- 5 * evln[6]
- 3 * evln[7]
- 2 * evln[8]
) / 120
lha[9] = (
10 * evln[1]
- 20 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
+ 10 * evln[3]
- 20 * evln[5]
+ 5 * evln[6]
+ 3 * evln[7]
+ 2 * evln[8]
) / 120
lha[3] = (
10 * evln[1]
- 20 * evln[10]
+ 5 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
- 10 * evln[3]
+ 20 * evln[5]
- 5 * evln[6]
- 3 * evln[7]
- 2 * evln[8]
) / 120
# if a heavy quark is not active at Q0 (the scale at which the output of the fit is stored),
# keep the PDF values at 0.0 to prevent small negative values due to numerical instabilities
# charm
if nf > 3:
lha[10] = (
10 * evln[1]
- 15 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
+ 10 * evln[3]
- 15 * evln[6]
+ 3 * evln[7]
+ 2 * evln[8]
) / 120
lha[2] = (
10 * evln[1]
- 15 * evln[11]
+ 3 * evln[12]
+ 2 * evln[13]
- 10 * evln[3]
+ 15 * evln[6]
- 3 * evln[7]
- 2 * evln[8]
) / 120
# bottom
if nf > 4:
lha[11] = (5 * evln[1] - 6 * evln[12] + evln[13] + 5 * evln[3] - 6 * evln[7] + evln[8]) / 60
lha[1] = (5 * evln[1] - 6 * evln[12] + evln[13] - 5 * evln[3] + 6 * evln[7] - evln[8]) / 60
# top
if nf > 5:
lha[12] = (evln[1] - evln[13] + evln[3] - evln[8]) / 12
lha[0] = (evln[1] - evln[13] - evln[3] + evln[8]) / 12
return lha
[docs]
def storefit(pdf_object, replica, out_path, theory):
"""
One-trick function which generates all output in the NNPDF format
so that all other scripts can still be used.
Parameters
----------
`pdf_object`
N3PDF object constructed from the pdf_model
that receives as input a point in x and returns an array of 14 flavours
`replica`
the replica index
`out_path`
the path where to store the output
`theory`
theory information of the fit
"""
# build exportgrid
xgrid = XGRID.reshape(-1, 1)
q0 = theory.get_description().get("Q0")
q20 = q0**2
# Set the active flavours, by default u, d, s
active_flavours = 3
# Now check whether c, b, t are active at Q0
for quark in ["c", "b", "t"]:
mass = theory.get_description().get(f"m{quark}")
threshold = theory.get_description().get(f"k{quark}Thr")
if q0 < mass * threshold:
break
active_flavours += 1
# Double check IC
if theory.get_description().get("IC") == 1:
active_flavours = np.maximum(4, active_flavours)
result = pdf_object(xgrid, flavours="n3fit").squeeze()
lha = evln2lha(result.T, nf=active_flavours).T
data = {
"replica": replica,
"q20": q20,
"xgrid": xgrid.T.tolist()[0],
"labels": [
"TBAR",
"BBAR",
"CBAR",
"SBAR",
"UBAR",
"DBAR",
"GLUON",
"D",
"U",
"S",
"C",
"B",
"T",
"PHT",
],
"pdfgrid": lha.tolist(),
}
with open(out_path, "w") as fs:
yaml_safe.dump(data, fs)