def mature_generator(lines):
global map_data
# each loop should read exactly 3 lines
output_list = []
iterator = 0
while 1:
if iterator == len(lines):
break
line_info = lines[iterator].strip()
if line_info == "":
break
line_seq = lines[iterator + 1].strip()
line_db = lines[iterator + 2].strip()
iterator += 3
# if no read data is matched in putative precursors, discard it
if DISCARD_NO_READ_PREC_FLAG:
no_read_prec_flag = SeqModule.check_no_read_prec(
line_info, map_data, MIN_READ_COUNT_THRESHOLD)
if no_read_prec_flag is True:
continue
# check conserved sequence with blastn
# if this line_info is classified as conserved sequence, update line_info
# no need to find duplex, just mark 5p and 3p index corresponding to matched information
updated_flag = False
if ANNOTATE_FLAG == 'true' or ANNOTATE_FLAG == 'True':
line_info, updated_flag = SeqModule.check_conserved_seq(
line_info, line_seq, blastn_path, mirbase_path,
ARM_EXTEND_THRESHOLD)
# if updated_flag is True:
# start_5p, end_5p, start_3p, end_3p = SeqModule.find_location(line_info, line_seq, line_db)
# else, do the code below
###########################################################
# Discard non-canonical (i.e. "hard to identify") precursor
# "Asymmetric" dot-bracket notation precursor : low accuracy, hard to identify star seq, and too many outputs
# if ")" portion is large in "left side", it's non-canonical
line_db_left = line_db[0:len(line_db) / 2]
num_open = line_db_left.count("(")
num_close = line_db_left.count(")")
if float(num_close) / num_open > NON_CANONICAL_PREC_FACTOR:
continue
# find valid star sequence from putative precursors
start_5p, end_5p, start_3p, end_3p = SeqModule.star_identifier_v2(
line_db, MATURE_MIN_LEN, MATURE_MAX_LEN, MAX_SERIAL_MISMATCH,
MAX_MULT_MISMATCH, MAX_SERIAL_BULGE, MAX_MULT_BULGE)
if start_5p == 0 and end_5p == 0 and start_3p == 0 and end_3p == 0: # star seq not found
continue
# write putative precursor to the output file
output_form = SeqModule.generate_output_form(line_info, line_seq,
line_db, start_5p,
start_3p, end_5p, end_3p,
map_data,
MIN_READ_COUNT_THRESHOLD)
output_list.append(output_form)
return output_list
def mature_generator(lines):
global map_data
# each loop should read exactly 3 lines
output_list=[]
iterator = 0
while 1:
if iterator == len(lines):
break
line_info = lines[iterator].strip()
if line_info == "":
break
line_seq = lines[iterator+1].strip()
line_db = lines[iterator+2].strip()
iterator += 3
# if no read data is matched in putative precursors, discard it
if DISCARD_NO_READ_PREC_FLAG:
no_read_prec_flag = SeqModule.check_no_read_prec(line_info, map_data, MIN_READ_COUNT_THRESHOLD)
if no_read_prec_flag is True:
continue
# check conserved sequence with blastn
# if this line_info is classified as conserved sequence, update line_info
# no need to find duplex, just mark 5p and 3p index corresponding to matched information
updated_flag = False
if ANNOTATE_FLAG == 'true' or ANNOTATE_FLAG == 'True':
line_info, updated_flag = SeqModule.check_conserved_seq(line_info, line_seq,
blastn_path, mirbase_path, ARM_EXTEND_THRESHOLD)
# if updated_flag is True:
# start_5p, end_5p, start_3p, end_3p = SeqModule.find_location(line_info, line_seq, line_db)
# else, do the code below
###########################################################
# Discard non-canonical (i.e. "hard to identify") precursor
# "Asymmetric" dot-bracket notation precursor : low accuracy, hard to identify star seq, and too many outputs
# if ")" portion is large in "left side", it's non-canonical
line_db_left = line_db[0:len(line_db)/2]
num_open = line_db_left.count("(")
num_close = line_db_left.count(")")
if float(num_close)/num_open > NON_CANONICAL_PREC_FACTOR:
continue
# find valid star sequence from putative precursors
start_5p, end_5p, start_3p, end_3p = SeqModule.star_identifier_v2(line_db, MATURE_MIN_LEN, MATURE_MAX_LEN,
MAX_SERIAL_MISMATCH, MAX_MULT_MISMATCH,
MAX_SERIAL_BULGE, MAX_MULT_BULGE)
if start_5p == 0 and end_5p == 0 and start_3p == 0 and end_3p == 0: # star seq not found
continue
# write putative precursor to the output file
output_form = SeqModule.generate_output_form(line_info, line_seq, line_db,
start_5p, start_3p, end_5p, end_3p,
map_data, MIN_READ_COUNT_THRESHOLD)
output_list.append(output_form)
return output_list
def precursor_generator(lines):
output_precursor_infolist = []
output_precursor_dblist = []
reads_total_partial = 0
length_distribution_partial = count_list({})
for z in range(0, len(lines)):
line_split = lines[z].split()
# Rare occasion of improper line data : should skip it
if len(line_split) != 7:
continue
# accumulate raw rna seq read counts for calculation of RPM
reads_total_partial += int(line_split[1])
# accumulate length distribution imformation
# specify 5' end and add to the corresponding index
seq_dist_check = line_split[6]
five_prime = seq_dist_check[0]
seq_length = len(seq_dist_check)
dict_key = str(seq_length)+str(five_prime)
length_distribution_partial[dict_key] += int(line_split[1])
# Screen for Drosha / Dicer cutting sites (Inspired by miREAP)
qualified_flag = 1
name_list_index = ref_name_list.index(line_split[2])
count = 0
if line_split[5] == "+":
count = ref_count_list_pos[name_list_index][int(line_split[3])]
if count < 3:
continue
count_region = count
count_sites = count
for i in range(1, 20):
if int(line_split[3])-i < 0 or int(line_split[3])+i >= len(ref_seq_list[name_list_index]):
continue
if ref_count_list_pos[name_list_index][int(line_split[3])-i] > count \
or ref_count_list_pos[name_list_index][int(line_split[3])+i] > count:
qualified_flag = 0
break
count_region += ref_count_list_pos[name_list_index][int(line_split[3])-i]
count_region += ref_count_list_pos[name_list_index][int(line_split[3])+i]
if i < 3:
count_sites += ref_count_list_pos[name_list_index][int(line_split[3])-i]
count_sites += ref_count_list_pos[name_list_index][int(line_split[3])+i]
if float(count_sites)/count_region < DOMINANT_FACTOR or float(count)/count_sites < DOMINANT_FACTOR/2.0:
qualified_flag = 0
elif line_split[5] == "-":
count = ref_count_list_neg[name_list_index][int(line_split[4])]
if count < 3:
continue
count_region = count
count_sites = count
for i in range(1, 20):
if int(line_split[4])-i < 0 or int(line_split[4])+i >= len(ref_seq_list[name_list_index]):
continue
if ref_count_list_neg[name_list_index][int(line_split[4])-i] > count \
or ref_count_list_neg[name_list_index][int(line_split[4])+i] > count:
qualified_flag = 0
break
count_region += ref_count_list_neg[name_list_index][int(line_split[4])-i]
count_region += ref_count_list_neg[name_list_index][int(line_split[4])+i]
if i < 3:
count_sites += ref_count_list_neg[name_list_index][int(line_split[4])-i]
count_sites += ref_count_list_neg[name_list_index][int(line_split[4])+i]
if float(count_sites)/count_region < DOMINANT_FACTOR or float(count)/count_sites < DOMINANT_FACTOR/2.0:
qualified_flag = 0
if qualified_flag == 0:
continue
# Precursor Candidate Information Variable List
pc_seq = ""
pc_structure = ""
pc_start = 0
pc_end = 0
pc_abs_energy = 0
pc_norm_abs_energy = 0
# Find min. MFE of fold structure and save it to result_precursor
# WARNING : if abs. of calculated free energy is less than 10, output[2] does not contain proper value
# Skipping this precursor line is proper, since threshold value is at least 18
for k in range(0, len(ref_seq_list)): # reference sequence list loop
# 160205 : No need to search other genomes
# but fixed, need better implementation (remove ref seq loop)
if name_list_index != k:
continue
# 150907 : No need to loop arm extension? miREAP only uses const FLANK var (10)
# disabling arm extension loop has no significant difference, but can reduce time complexity
for i in range(ARM_EXTEND_THRESHOLD, ARM_EXTEND_THRESHOLD+1): # arm extension loop (disabled)
for j in range(int(line_split[4])-int(line_split[3]), DISTANCE_THRESHOLD+int(line_split[4])-int(line_split[3]), RNAFOLD_STEP): # distance loop
# Assuming -5p mature sequence
start = int(line_split[3])-i
end = int(line_split[4])+j+i
if start >= 0 and end < len(ref_seq_list[k]): # continue only if both indices are valid
if line_split[5] == "+":
rna_fold_seq = ref_seq_list[k][start:end]
elif line_split[5] == "-":
rna_fold_seq = SeqModule.create_star(ref_seq_list[k][start:end])
if "N" in rna_fold_seq:
continue
rnafold = subprocess.Popen([RNAfold_path, "--noconv", "-d2", "--noPS", "--noLP"],
stdin=subprocess.PIPE, stdout=subprocess.PIPE)
output = rnafold.communicate(rna_fold_seq)[0].split()
# Discard non-canonical (i.e. "hard to identify") precursor
pc_structure_left = output[1].strip("\n")[0:len(output[1].strip("\n"))/2]
pc_structure_right = output[1].strip("\n")[len(output[1].strip("\n"))/2:len(output[1].strip("\n"))]
num_open_left = pc_structure_left.count("(")
num_close_left = pc_structure_left.count(")")
num_open_right = pc_structure_right.count("(")
num_close_right = pc_structure_right.count(")")
if num_open_left == 0 or num_close_right == 0:
continue
if float(num_close_left)/num_open_left > NON_CANONICAL_PREC_FACTOR or\
float(num_open_right)/num_close_right > NON_CANONICAL_PREC_FACTOR:
continue
abs_energy = re.findall(r'\d*\.\d*', str(output[2]))
if abs_energy != []:
if float(abs_energy[0]) >= MIN_ABS_MFE:
norm_abs_energy = float(abs_energy[0])/len(rna_fold_seq)
if pc_seq == []: # bad implementation, need to repair
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
elif norm_abs_energy > pc_norm_abs_energy:
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
# Assuming -3p mature sequence
start = int(line_split[3])-j-i
end = int(line_split[4])+i
if start >= 0 and end < len(ref_seq_list[k]): # continue only if both indices are valid
if line_split[5] == "+":
rna_fold_seq = ref_seq_list[k][start:end]
elif line_split[5] == "-":
rna_fold_seq = SeqModule.create_star(ref_seq_list[k][start:end])
if "N" in rna_fold_seq:
continue
rnafold = subprocess.Popen([RNAfold_path, "--noconv", "-d2", "--noPS", "--noLP"],
stdin=subprocess.PIPE, stdout=subprocess.PIPE)
output = rnafold.communicate(rna_fold_seq)[0].split()
# Discard non-canonical (i.e. "hard to identify") precursor
pc_structure_left = output[1].strip("\n")[0:len(output[1].strip("\n"))/2]
pc_structure_right = output[1].strip("\n")[len(output[1].strip("\n"))/2:len(output[1].strip("\n"))]
num_open_left = pc_structure_left.count("(")
num_close_left = pc_structure_left.count(")")
num_open_right = pc_structure_right.count("(")
num_close_right = pc_structure_right.count(")")
if num_open_left == 0 or num_close_right == 0:
continue
if float(num_close_left)/num_open_left > NON_CANONICAL_PREC_FACTOR or\
float(num_open_right)/num_close_right > NON_CANONICAL_PREC_FACTOR:
continue
abs_energy = re.findall(r'\d*\.\d*', str(output[2]))
if abs_energy != []:
if float(abs_energy[0]) >= MIN_ABS_MFE:
norm_abs_energy = float(abs_energy[0])/len(rna_fold_seq)
if pc_seq == []: # bad implementation, need to repair
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
elif norm_abs_energy > pc_norm_abs_energy:
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
if pc_seq != "":
output_precursor_infolist.append(lines[z].strip()+"\t"+str(pc_abs_energy)+"\t"+str(pc_norm_abs_energy)+"\t"+
str(pc_start)+"\t"+str(pc_end)+"\n")
output_precursor_dblist.append(pc_seq+"\n"+pc_structure+"\n")
continue
# create counters (subclass of dict) to "merge" partial length distribution dicts later
length_distribution_counter = Counter(length_distribution_partial)
return output_precursor_infolist, output_precursor_dblist, reads_total_partial, length_distribution_counter
else:
smrna_file_path = os.path.join(os.getcwd(), "smrna.fa")
print("Mapping smrna-seq to reference genome with bowtie...")
bowtie = subprocess.Popen([bowtie_path, str(ref_file.name),
"-f", smrna_file_path,
os.path.join(path, "map_bowtie"),
"-v", "0", "-m", str(MAX_MULTIPLE_LOCI), "-a", "-t", "-p", str(NUM_THREADS)],
stdin=subprocess.PIPE, stdout=subprocess.PIPE)
bowtie.wait()
print("Converting bowtie map format to correct map format...")
# open bowtie-generated map file (read-only, no need to be changed)
output_bowtie = open(os.path.join(path, "map_bowtie"), "r")
# convert bowtie map file format to correct form
SeqModule.convert_bowtie_output(output_bowtie, output_map)
output_map.seek(0, 0)
print("Generating count data using map file...")
# generate count data using map file
ref_count_dump_pos, ref_count_dump_neg = SeqModule.count_generator(ref_name_list, output_map)
output_map.seek(0, 0)
# dump count data file for future usage and skip mapping
cPickle.dump(ref_count_dump_pos, output_count_pos, -1)
cPickle.dump(ref_count_dump_neg, output_count_neg, -1)
output_count_pos.seek(0, 0)
output_count_neg.seek(0, 0)
end = time.time()
print("Elapsed time for mapping : " + str(end - start) + " seconds")
print("Mapping done")
def precursor_generator(lines):
output_precursor_infolist = []
output_precursor_dblist = []
reads_total_partial = 0
length_distribution_partial = count_list({})
for z in range(0, len(lines)):
line_split = lines[z].split()
# Rare occasion of improper line data : should skip it
if len(line_split) != 7:
continue
# accumulate raw rna seq read counts for calculation of RPM
reads_total_partial += int(line_split[1])
# accumulate length distribution imformation
# specify 5' end and add to the corresponding index
seq_dist_check = line_split[6]
five_prime = seq_dist_check[0]
seq_length = len(seq_dist_check)
dict_key = str(seq_length) + str(five_prime)
length_distribution_partial[dict_key] += int(line_split[1])
# Screen for Drosha / Dicer cutting sites (Inspired by miREAP)
qualified_flag = 1
name_list_index = ref_name_list.index(line_split[2])
count = 0
if line_split[5] == "+":
count = ref_count_list_pos[name_list_index][int(line_split[3])]
if count < 3:
continue
count_region = count
count_sites = count
for i in range(1, 20):
if int(line_split[3]) - i < 0 or int(line_split[3]) + i >= len(
ref_seq_list[name_list_index]):
continue
if ref_count_list_pos[name_list_index][int(line_split[3])-i] > count \
or ref_count_list_pos[name_list_index][int(line_split[3])+i] > count:
qualified_flag = 0
break
count_region += ref_count_list_pos[name_list_index][
int(line_split[3]) - i]
count_region += ref_count_list_pos[name_list_index][
int(line_split[3]) + i]
if i < 3:
count_sites += ref_count_list_pos[name_list_index][
int(line_split[3]) - i]
count_sites += ref_count_list_pos[name_list_index][
int(line_split[3]) + i]
if float(count_sites) / count_region < DOMINANT_FACTOR or float(
count) / count_sites < DOMINANT_FACTOR / 2.0:
qualified_flag = 0
elif line_split[5] == "-":
count = ref_count_list_neg[name_list_index][int(line_split[4])]
if count < 3:
continue
count_region = count
count_sites = count
for i in range(1, 20):
if int(line_split[4]) - i < 0 or int(line_split[4]) + i >= len(
ref_seq_list[name_list_index]):
continue
if ref_count_list_neg[name_list_index][int(line_split[4])-i] > count \
or ref_count_list_neg[name_list_index][int(line_split[4])+i] > count:
qualified_flag = 0
break
count_region += ref_count_list_neg[name_list_index][
int(line_split[4]) - i]
count_region += ref_count_list_neg[name_list_index][
int(line_split[4]) + i]
if i < 3:
count_sites += ref_count_list_neg[name_list_index][
int(line_split[4]) - i]
count_sites += ref_count_list_neg[name_list_index][
int(line_split[4]) + i]
if float(count_sites) / count_region < DOMINANT_FACTOR or float(
count) / count_sites < DOMINANT_FACTOR / 2.0:
qualified_flag = 0
if qualified_flag == 0:
continue
# Precursor Candidate Information Variable List
pc_seq = ""
pc_structure = ""
pc_start = 0
pc_end = 0
pc_abs_energy = 0
pc_norm_abs_energy = 0
# Find min. MFE of fold structure and save it to result_precursor
# WARNING : if abs. of calculated free energy is less than 10, output[2] does not contain proper value
# Skipping this precursor line is proper, since threshold value is at least 18
for k in range(0, len(ref_seq_list)): # reference sequence list loop
# 160205 : No need to search other genomes
# but fixed, need better implementation (remove ref seq loop)
if name_list_index != k:
continue
# 150907 : No need to loop arm extension? miREAP only uses const FLANK var (10)
# disabling arm extension loop has no significant difference, but can reduce time complexity
for i in range(ARM_EXTEND_THRESHOLD, ARM_EXTEND_THRESHOLD +
1): # arm extension loop (disabled)
for j in range(
int(line_split[4]) - int(line_split[3]),
DISTANCE_THRESHOLD + int(line_split[4]) -
int(line_split[3]), RNAFOLD_STEP): # distance loop
# Assuming -5p mature sequence
start = int(line_split[3]) - i
end = int(line_split[4]) + j + i
if start >= 0 and end < len(
ref_seq_list[k]
): # continue only if both indices are valid
if line_split[5] == "+":
rna_fold_seq = ref_seq_list[k][start:end]
elif line_split[5] == "-":
rna_fold_seq = SeqModule.create_star(
ref_seq_list[k][start:end])
if "N" in rna_fold_seq:
continue
rnafold = subprocess.Popen([
RNAfold_path, "--noconv", "-d2", "--noPS", "--noLP"
],
stdin=subprocess.PIPE,
stdout=subprocess.PIPE)
output = rnafold.communicate(rna_fold_seq)[0].split()
# Discard non-canonical (i.e. "hard to identify") precursor
pc_structure_left = output[1].strip(
"\n")[0:len(output[1].strip("\n")) / 2]
pc_structure_right = output[1].strip(
"\n")[len(output[1].strip("\n")) /
2:len(output[1].strip("\n"))]
num_open_left = pc_structure_left.count("(")
num_close_left = pc_structure_left.count(")")
num_open_right = pc_structure_right.count("(")
num_close_right = pc_structure_right.count(")")
if num_open_left == 0 or num_close_right == 0:
continue
if float(num_close_left)/num_open_left > NON_CANONICAL_PREC_FACTOR or\
float(num_open_right)/num_close_right > NON_CANONICAL_PREC_FACTOR:
continue
abs_energy = re.findall(r'\d*\.\d*', str(output[2]))
if abs_energy != []:
if float(abs_energy[0]) >= MIN_ABS_MFE:
norm_abs_energy = float(
abs_energy[0]) / len(rna_fold_seq)
if pc_seq == []: # bad implementation, need to repair
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
elif norm_abs_energy > pc_norm_abs_energy:
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
# Assuming -3p mature sequence
start = int(line_split[3]) - j - i
end = int(line_split[4]) + i
if start >= 0 and end < len(
ref_seq_list[k]
): # continue only if both indices are valid
if line_split[5] == "+":
rna_fold_seq = ref_seq_list[k][start:end]
elif line_split[5] == "-":
rna_fold_seq = SeqModule.create_star(
ref_seq_list[k][start:end])
if "N" in rna_fold_seq:
continue
rnafold = subprocess.Popen([
RNAfold_path, "--noconv", "-d2", "--noPS", "--noLP"
],
stdin=subprocess.PIPE,
stdout=subprocess.PIPE)
output = rnafold.communicate(rna_fold_seq)[0].split()
# Discard non-canonical (i.e. "hard to identify") precursor
pc_structure_left = output[1].strip(
"\n")[0:len(output[1].strip("\n")) / 2]
pc_structure_right = output[1].strip(
"\n")[len(output[1].strip("\n")) /
2:len(output[1].strip("\n"))]
num_open_left = pc_structure_left.count("(")
num_close_left = pc_structure_left.count(")")
num_open_right = pc_structure_right.count("(")
num_close_right = pc_structure_right.count(")")
if num_open_left == 0 or num_close_right == 0:
continue
if float(num_close_left)/num_open_left > NON_CANONICAL_PREC_FACTOR or\
float(num_open_right)/num_close_right > NON_CANONICAL_PREC_FACTOR:
continue
abs_energy = re.findall(r'\d*\.\d*', str(output[2]))
if abs_energy != []:
if float(abs_energy[0]) >= MIN_ABS_MFE:
norm_abs_energy = float(
abs_energy[0]) / len(rna_fold_seq)
if pc_seq == []: # bad implementation, need to repair
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
elif norm_abs_energy > pc_norm_abs_energy:
pc_seq = output[0].strip()
pc_structure = output[1].strip("\n")
pc_start = start
pc_end = end
pc_abs_energy = float(abs_energy[0])
pc_norm_abs_energy = norm_abs_energy
if pc_seq != "":
output_precursor_infolist.append(lines[z].strip() + "\t" +
str(pc_abs_energy) + "\t" +
str(pc_norm_abs_energy) + "\t" +
str(pc_start) + "\t" +
str(pc_end) + "\n")
output_precursor_dblist.append(pc_seq + "\n" + pc_structure + "\n")
continue
# create counters (subclass of dict) to "merge" partial length distribution dicts later
length_distribution_counter = Counter(length_distribution_partial)
return output_precursor_infolist, output_precursor_dblist, reads_total_partial, length_distribution_counter
bowtie_path,
str(ref_file.name), "-f", smrna_file_path,
os.path.join(path, "map_bowtie"), "-v", "0", "-m",
str(MAX_MULTIPLE_LOCI), "-a", "-t", "-p",
str(NUM_THREADS), '--large-index'
],
stdin=subprocess.PIPE,
stdout=subprocess.PIPE)
bowtie.wait()
print("Converting bowtie map format to correct map format...")
# open bowtie-generated map file (read-only, no need to be changed)
output_bowtie = open(os.path.join(path, "map_bowtie"), "r")
# convert bowtie map file format to correct form
SeqModule.convert_bowtie_output(output_bowtie, output_map)
output_map.seek(0, 0)
print("Generating count data using map file...")
# generate count data using map file
ref_count_dump_pos, ref_count_dump_neg = SeqModule.count_generator(
ref_name_list, output_map)
output_map.seek(0, 0)
# dump count data file for future usage and skip mapping
cPickle.dump(ref_count_dump_pos, output_count_pos, -1)
cPickle.dump(ref_count_dump_neg, output_count_neg, -1)
output_count_pos.seek(0, 0)
output_count_neg.seek(0, 0)
end = time.time()
print("Elapsed time for mapping : " + str(end - start) + " seconds")
