From 96e2eadec84b47a73b8d560e8fead8b74877166c Mon Sep 17 00:00:00 2001 From: metab0t Date: Wed, 27 Nov 2024 17:28:35 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20metab0t/?= =?UTF-8?q?PyOptInterface@49916b6995fe9748a9496fa25dec100579d85a7a=20?= =?UTF-8?q?=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../examples/optimal_control_rocket.md.txt | 2 + _sources/examples/optimal_power_flow.md.txt | 2 + _sources/nonlinear.md.txt | 6 ++ constraint.html | 12 ++-- examples/optimal_control_rocket.html | 25 ++++--- examples/optimal_power_flow.html | 43 ++++++----- expression.html | 8 +-- nonlinear.html | 72 +++++++++++++------ numpy.html | 4 +- searchindex.js | 2 +- structure.html | 2 +- 11 files changed, 116 insertions(+), 62 deletions(-) diff --git a/_sources/examples/optimal_control_rocket.md.txt b/_sources/examples/optimal_control_rocket.md.txt index ffbbd0c..42cce76 100644 --- a/_sources/examples/optimal_control_rocket.md.txt +++ b/_sources/examples/optimal_control_rocket.md.txt @@ -111,7 +111,9 @@ After solving the problem, we can plot the results. ```{code-cell} model.optimize() +``` +```{code-cell} h_value = [] for i in range(T): h_value.append(model.get_value(h[i])) diff --git a/_sources/examples/optimal_power_flow.md.txt b/_sources/examples/optimal_power_flow.md.txt index 4035bd6..c2949c3 100644 --- a/_sources/examples/optimal_power_flow.md.txt +++ b/_sources/examples/optimal_power_flow.md.txt @@ -236,7 +236,9 @@ After optimization, we can retrieve the optimal solution: ```{code-cell} model.optimize() +``` +```{code-cell} print(model.get_model_attribute(poi.ModelAttribute.TerminationStatus)) P_value = P.map(model.get_value) diff --git a/_sources/nonlinear.md.txt b/_sources/nonlinear.md.txt index cb9a2f1..466d29b 100644 --- a/_sources/nonlinear.md.txt +++ b/_sources/nonlinear.md.txt @@ -177,7 +177,9 @@ model.add_nl_constraint(con_f, nlfunc.Vars(x=x,y=y), ub = [4.0, -1.0]) model.add_nl_objective(obj_f, nlfunc.Vars(x=x,y=y)) model.optimize() +``` +```{code-cell} x_value = model.get_value(x) y_value = model.get_value(y) @@ -241,7 +243,9 @@ rosenbrock_f = model.register_function(rosenbrock) model.add_nl_objective(rosenbrock_f, nlfunc.Vars(x=x, y=y)) model.optimize() +``` +```{code-cell} x_value = model.get_value(x) y_value = model.get_value(y) @@ -286,7 +290,9 @@ for i in range(N): model.add_linear_constraint(t[i+1] - t[i] - 0.5 * h * u[i+1] - 0.5 * h * u[i] , poi.Eq, 0.0) model.optimize() +``` +```{code-cell} objective_value = model.get_model_attribute(poi.ModelAttribute.ObjectiveValue) print(f"Objective value: {objective_value}") diff --git a/constraint.html b/constraint.html index f6689de..a4e8cef 100644 --- a/constraint.html +++ b/constraint.html @@ -304,12 +304,12 @@

Constraint -
2024-11-27 17:18:09 [INFO] checks license for COPT v7.2.2 20241023
-2024-11-27 17:18:09 [WARN] no license files in current working folder: /home/runner/work/PyOptInterface/PyOptInterface/docs/source
-2024-11-27 17:18:09 [WARN] no license files in binary folder: /opt/hostedtoolcache/Python/3.12.7/x64/bin
-2024-11-27 17:18:09 [WARN] no license files in HOME folder: /home/runner/copt
-2024-11-27 17:18:09 [INFO] empty environment variable: COPT_LICENSE_DIR
-2024-11-27 17:18:09 [WARN] no license files in EV 'COPT_LICENSE_DIR': 
+
2024-11-27 17:28:19 [INFO] checks license for COPT v7.2.2 20241023
+2024-11-27 17:28:19 [WARN] no license files in current working folder: /home/runner/work/PyOptInterface/PyOptInterface/docs/source
+2024-11-27 17:28:19 [WARN] no license files in binary folder: /opt/hostedtoolcache/Python/3.12.7/x64/bin
+2024-11-27 17:28:19 [WARN] no license files in HOME folder: /home/runner/copt
+2024-11-27 17:28:19 [INFO] empty environment variable: COPT_LICENSE_DIR
+2024-11-27 17:28:19 [WARN] no license files in EV 'COPT_LICENSE_DIR': 
 
 No license found. Starting COPT with size limitations for non-commercial use
 Please apply for a license from www.shanshu.ai/copt
diff --git a/examples/optimal_control_rocket.html b/examples/optimal_control_rocket.html
index 5d8b18f..53fcdfa 100644
--- a/examples/optimal_control_rocket.html
+++ b/examples/optimal_control_rocket.html
@@ -394,12 +394,6 @@ 

Implementation
model.optimize()
-
-h_value = []
-for i in range(T):
-    h_value.append(model.get_value(h[i]))
-
-print("Optimal altitude: ", h_value[-1])
 
@@ -483,11 +477,26 @@

Implementation +
+
h_value = []
+for i in range(T):
+    h_value.append(model.get_value(h[i]))
+
+print("Optimal altitude: ", h_value[-1])
+
+
+
+
+
Optimal altitude:  1.012779392216388
 
diff --git a/examples/optimal_power_flow.html b/examples/optimal_power_flow.html index 5a075c0..fa70025 100644 --- a/examples/optimal_power_flow.html +++ b/examples/optimal_power_flow.html @@ -520,15 +520,6 @@

Implementation
model.optimize()
-
-print(model.get_model_attribute(poi.ModelAttribute.TerminationStatus))
-
-P_value = P.map(model.get_value)
-
-print("Optimal active power output of the generators:")
-
-for i in range(N_gen):
-    print(f"Generator {i}: {P_value[i]}")
 
@@ -592,13 +583,6 @@

Implementation +
+
print(model.get_model_attribute(poi.ModelAttribute.TerminationStatus))
+
+P_value = P.map(model.get_value)
+
+print("Optimal active power output of the generators:")
+
+for i in range(N_gen):
+    print(f"Generator {i}: {P_value[i]}")
+
+
+
+
+
TerminationStatusCode.LOCALLY_SOLVED
+Optimal active power output of the generators:
+Generator 0: 0.4
+Generator 1: 1.7
+Generator 2: 1.9623464660959797
+Generator 3: 0.0
+Generator 4: 6.0
+
+
+
+

As shown by the result, the generator with less cost efficient has the highest active power output. The total generation power is also greater than the total demand due to the network loss.

diff --git a/expression.html b/expression.html index a91013f..cb92b8c 100644 --- a/expression.html +++ b/expression.html @@ -361,8 +361,8 @@

Efficient expression construction -

@@ -539,10 +534,8 @@

Nonlinear constraints and objectives

Nonlinear constraint can be declared by calling add_nl_constraint method of the Model object. The method accepts the registered function, the variables/parameters of the constraint, and the bounds of the constraint.

The variables of the constraint should be constructed by nlfunc.Vars and the parameters should be constructed by nlfunc.Params.

The bounds can be specified as a scalar or a list with the same length as the number of outputs of the function. If it is a scalar, the same bound will be applied to all outputs. If it is a list, each output will have its own bound.

@@ -631,11 +639,6 @@

Nonlinear constraints and objectivesmodel.add_nl_objective(rosenbrock_f, nlfunc.Vars(x=x, y=y)) model.optimize() - -x_value = model.get_value(x) -y_value = model.get_value(y) - -print(f"x = {x_value}, y = {y_value}") @@ -673,7 +676,6 @@

Nonlinear constraints and objectives +
+
x_value = model.get_value(x)
+y_value = model.get_value(y)
+
+print(f"x = {x_value}, y = {y_value}")
+
+
+
+
+
x = 0.9999999999999899, y = 0.9999999999999792
+
+
+
+

Mixing nonlinear and linear/quadratic constraints together

@@ -738,10 +755,6 @@

Mixing nonlinear and linear/quadratic constraints togethermodel.add_linear_constraint(t[i+1] - t[i] - 0.5 * h * u[i+1] - 0.5 * h * u[i] , poi.Eq, 0.0) model.optimize() - -objective_value = model.get_model_attribute(poi.ModelAttribute.ObjectiveValue) - -print(f"Objective value: {objective_value}") @@ -768,7 +781,6 @@

Mixing nonlinear and linear/quadratic constraints togetherMixing nonlinear and linear/quadratic constraints together +
+
objective_value = model.get_model_attribute(poi.ModelAttribute.ObjectiveValue)
+
+print(f"Objective value: {objective_value}")
+
+
+
+
+
Objective value: 350.0000000000032
+
+
+
+

More complex examples

diff --git a/numpy.html b/numpy.html index e8a44db..adc6b5f 100644 --- a/numpy.html +++ b/numpy.html @@ -355,7 +355,7 @@

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25], "For": [9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 32], "If": [15, 20, 21, 22, 24, 25, 26, 27], "In": [0, 10, 14, 16, 17, 18, 19, 21, 24, 25, 27, 28, 31], "It": [13, 14, 16, 17, 19, 20, 21, 24, 25, 27, 30, 31, 32], "No": 13, "Not": 13, "Of": 27, "On": 21, "The": [9, 10, 13, 14, 16, 17, 18, 19, 20, 21, 24, 25, 27, 28, 29, 31, 32], "Then": [16, 17, 18, 19, 21, 27, 28, 31], "There": [13, 14], "To": [10, 25, 27], "_": [14, 17, 20, 21], "__init__": 31, "_src": [0, 3], "a_cost": 17, "a_i": [17, 19], "ab": 27, "abov": 27, "absolut": 27, "abstract": [24, 27], "ac": [18, 19, 27], "acceler": [18, 24], "accept": 27, "access": [15, 23, 26, 27, 31], "acknowledg": [18, 19, 27], "aco": 27, "acopf": 19, "activ": [12, 13, 19, 32], "ad": [12, 13, 16, 20, 24], "adapt": [9, 10, 18, 24], "add": [10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 25, 27, 28, 31], "add_affine_term": 0, "add_const": 0, "add_diagonal_constraint": 31, "add_exp_cone_constraint": [1, 4, 13, 15, 26], "add_linear_constraint": [1, 2, 3, 4, 10, 11, 12, 13, 14, 15, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 31], "add_mip_start": 1, "add_nl_constraint": [18, 19, 27], "add_nl_object": 27, "add_quadratic_constraint": [1, 2, 4, 12, 13, 15, 19, 22, 23, 26, 27], "add_quadratic_term": 0, "add_row_column_constraint": 31, "add_second_order_cone_constraint": [1, 4, 12, 13, 15, 22, 23, 26], "add_sos_constraint": [1, 2, 12, 13, 15, 22, 23, 26], "add_term": 0, "add_vari": [1, 2, 3, 4, 12, 13, 14, 17, 18, 19, 20, 21, 24, 25, 27, 28, 31, 32], "addit": 10, "addlazyconstr": 10, "addusercut": 10, "adjac": 18, "advanc": [14, 18, 19, 27], "affine_part": 0, "after": [12, 13, 16, 18, 19, 20, 21, 24, 25, 27, 32], "ai": 13, "aim": 10, "algebra": [18, 24], "algorithm": 29, "alia": [0, 13], "align": [13, 18], "all": [9, 10, 12, 13, 15, 18, 19, 22, 24, 25, 27], "allow": 27, "almost_dual_infeas": 0, "almost_infeas": 0, "almost_locally_solv": 0, "almost_optim": 0, "alpha": 27, "alpha_du": [18, 19, 27], "alpha_pr": [18, 19, 27], "also": [10, 14, 15, 19, 21, 22, 24, 25, 27, 29], "altern": 19, "although": [19, 27], "altitud": 18, "among": 24, "ampl": 14, "an": [10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 27, 31, 32], "analyt": [28, 31], "angl": 19, "angmax": 19, "angmin": 19, "ani": [14, 22, 27], "anoth": [13, 20, 27], "anti": [28, 31], "anymor": [13, 32], "api": [10, 12, 31], "appar": 19, "appear": 27, "append": 18, "appl": 16, "appli": [13, 27], "approach": 21, "ar": [9, 12, 13, 14, 16, 17, 18, 19, 20, 21, 24, 25, 27], "arbitrari": 27, "archiveprefix": 24, "arg": [0, 1, 2, 4], "argument": [10, 19, 21, 27], "arithmet": 20, "arm": 21, "around": [14, 31], "arrai": [10, 17, 28], "articl": 24, "arxiv": 24, "asia": 14, "asin": 27, "asm": [14, 17, 21, 25], "assert": [25, 27], "assign": 20, "assum": 17, "astyp": 28, "atan": 27, "attempt": 24, "attr": [12, 15, 22], "attribut": [1, 2, 3, 4, 17, 24, 27, 31], "author": 24, "autoload_librari": [0, 1, 2, 3, 4, 21], "automat": [10, 15, 22, 24, 26, 27, 28], "avail": [9, 18, 19, 21, 24, 25, 27], "avoid": 9, "awar": 24, "axi": 14, "b": [13, 19, 28, 31], "b_": 19, "b_cost": 17, "b_i": [17, 19], "balanc": [17, 19], "barrieriter": [0, 5, 6, 7, 8, 15, 22, 23, 25, 26], "base": [0, 1, 2, 3, 4, 16], "bc": 19, "bc2": 19, "becaus": [10, 12, 14, 17, 25], "been": 21, "befor": [16, 25, 27], "begin": [13, 18], "behavior": [10, 22, 25], "below": [18, 19], "besid": 25, "bestbnd": 10, "bestbound": [28, 31], "bestsol": [28, 31], "bf": 19, "big": 16, "bigger": 24, "bin": [13, 21, 24], "binari": [0, 13, 21, 24, 28, 31], "bind": [10, 21, 24], "bivari": 27, "black": 16, "bodi": 10, "bool": [12, 13], "boolean": 27, "both": 27, "bound": [10, 11, 14, 15, 17, 18, 19, 21, 25, 27, 28, 31, 32], "boundari": [0, 18], "box": [21, 24], "br": [28, 31], "branch": [10, 19, 28, 31], "branch_flow": 19, "bring": [14, 28], "browser": 16, "bu": 19, "bug": 11, "build": [10, 24, 25], "built": [16, 21, 24], "buse": 19, "byoc": [14, 28], "c": [9, 11, 14, 16, 17, 18, 19, 20, 21, 24, 25, 27, 28, 31], "c_": 19, "c_cost": 17, "c_i": [17, 19], "calcul": [27, 28, 31], "call": [10, 11, 13, 14, 21, 25, 27, 29, 32], "callback": [11, 24, 30], "callbackbas": 10, "callbackcod": 10, "can": [10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 32], "cannot": [13, 32], "canonic": 0, "captur": 27, "case": [9, 10, 14, 16], "categor": 27, "cb": 10, "cb_add_lazy_constraint": [1, 2, 10], "cb_add_user_cut": [1, 2, 10], "cb_copt": 10, "cb_exit": [1, 2, 10], "cb_get_incumb": [1, 10], "cb_get_info": [1, 2, 10], "cb_get_info_doubl": [1, 2], "cb_get_info_int": [1, 2], "cb_get_relax": [1, 2, 10], "cb_get_solut": [1, 2, 10], "cb_gurobi": 10, "cb_set_solut": [1, 2, 10], "cb_submit_solut": [1, 2, 10], "cbcontext_mipnod": 10, "cbcontext_miprelax": 10, "cbcontext_mipsol": 10, "cbcut": 10, "cbget": 10, "cbgetnodelrel": 10, "cbgetsolut": 10, "cbinfo": 10, "cblazi": 10, "cbsetsolut": 10, "cbusesolut": 10, "cd": 16, "centr": [28, 31], "central": [25, 28, 31], "certain": 10, "chang": [11, 16, 21, 24, 29], "changelog": 24, "check": [13, 21], "chenhui": 24, "choos": [10, 22], "ci": 16, "circuit": 19, "cite": 24, "clang": 16, "class": [0, 1, 2, 3, 4, 11, 13, 14, 20, 25, 31], "classic": [14, 17], "clean": 0, "clean_nearzero_term": 0, "clear": 0, "clnlbeam": 27, "clone": 16, "cmake": 16, "co": [19, 27], "code": [9, 10, 16, 18, 19, 21, 24, 27, 28, 31], "coeffici": [0, 12, 13, 14, 17, 21, 25, 28, 29, 31], "coin": [18, 19, 27], "col": [15, 28, 31], "collect": [0, 18, 19, 27], "column": [15, 28, 31], "com": [9, 16, 18, 19, 27], "combin": 14, "command": 16, "commerci": [13, 24, 25], "common": [10, 13, 24, 25, 27, 31, 32], "commun": 31, "compact": 14, "compar": [9, 27], "comparison": 27, "compil": [16, 18, 19, 21, 24, 27], "complementar": [18, 19, 27], "complet": 27, "compon": 15, "compos": 31, "comput": [18, 19, 27, 30], "computeserv": 22, "con": [12, 13, 14, 17, 21, 24, 27], "con_": 14, "con_f": 27, "concept": 14, "concret": [10, 25], "condit": [10, 18, 27], "conduct": 9, "cone": [0, 11, 24], "configur": [16, 21, 24], "confl": [28, 31], "conflict": 30, "consid": [11, 17, 24], "consol": [21, 24], "constant": [0, 11, 15, 17, 19, 20, 21, 22], "constrain": 24, "constraint": [0, 1, 2, 3, 4, 10, 11, 14, 17, 18, 19, 21, 24, 25, 28, 30, 31], "constraint_rul": 14, "constraintattribut": [0, 1, 2, 3, 4, 12, 13], "constraintindex": 0, "constraintsens": [0, 13, 14, 21], "constrainttyp": [0, 1, 2, 3, 4], "construct": [14, 24, 27, 28], "constructor": [14, 15, 22, 25, 26], "contain": [11, 13, 15, 18, 19, 22, 24, 27, 31], "content": 25, "context": [10, 14], "continu": [0, 12, 24, 28, 31, 32], "control": [9, 10, 24, 27], "conveni": [14, 27], "convert": 14, "coord": [0, 12], "coordin": 12, "copt": [0, 10, 11, 13, 24, 25], "copt71": 21, "copt72": 21, "copt_hom": 21, "copt_license_dir": 13, "coptpi": [9, 15], "copyright": [14, 17, 18, 19, 20, 21, 25, 27, 28, 31], "core": 16, "core_ext": 0, "correct": 27, "correctli": [11, 14, 15, 22, 23, 26], "correspond": [14, 17, 21, 24, 25, 27, 28], "cos_ij": 19, "cost": [14, 15, 17, 19, 21, 22, 25, 28, 31], "coupl": 10, "cours": 27, "cover": 24, "cpu": [18, 19, 20, 27], "creat": [13, 15, 16, 17, 20, 21, 22, 26, 27, 28, 31, 32], "current": [10, 13, 19, 20, 21, 24, 27, 29], "custom": [14, 21], "cut": [10, 28, 30, 31], "cvxpy": 9, "d": [18, 19, 21, 27, 28, 31], "d_": 17, "d_b": 19, "d_c": 18, "data": [14, 19, 28], "decis": [17, 19, 32], "declar": [18, 19, 27, 31], "declare_queen_vari": 31, "decompos": 31, "def": [10, 14, 17, 18, 19, 20, 27, 31], "default": [12, 21, 25], "defin": [10, 13, 14, 25, 27, 29, 30, 31], "definit": 27, "degre": [0, 20], "delet": 11, "delete_constraint": [1, 2, 3, 4, 12, 13], "delete_vari": [1, 2, 3, 4, 12, 32], "delta": [18, 19], "delta_t": 18, "demand": [17, 19], "demonstr": [14, 18, 19], "depend": [10, 16, 17, 21, 24, 27], "depth": [28, 31], "deriv": 14, "describ": [17, 18, 27], "design": [14, 16, 18, 19, 24, 25, 27, 31], "detail": [10, 13, 21, 24, 25], "determin": [17, 19, 25], "develop": 24, "dh": 18, "diagon": [28, 31], "dict": [0, 14, 31], "dictionari": [14, 27], "did": 27, "differ": [9, 12, 19, 24, 27], "differenti": [18, 24, 27], "dimension": [14, 28], "direct": 19, "directli": [14, 21, 24, 27, 28], "directori": [16, 24], "disable_log": 4, "discret": 18, "discuss": [16, 25, 27], "dispatch": 24, "distribut": 24, "divid": 20, "dll": [11, 21], "dm": 18, "do": [10, 25], "doc": [13, 16, 25], "document": [10, 13, 24, 25, 30, 31], "doe": [14, 27, 31], "domain": [0, 5, 6, 7, 8, 12, 13, 15, 22, 23, 24, 26, 28, 31, 32], "drag": 18, "dt": 18, "dtype": [28, 31], "dual": [0, 5, 6, 7, 8, 13, 15, 18, 19, 22, 23, 26, 27, 28, 31], "dual_infeas": 0, "dualobjectivevalu": [0, 5, 6, 7, 8, 15, 22, 23, 25, 26], "dualstatu": [0, 5, 6, 7, 8, 15, 22, 23, 25, 26], "due": [19, 28, 31], "dure": [10, 14], "dv": 18, "dyld_library_path": 21, "dylib": 21, "dynam": [18, 28, 31], "e": 21, "each": [9, 14, 19, 25, 27, 28], "easi": 21, "easier": [11, 27], "easili": 14, "eclips": [18, 19, 27], "econom": 24, "ecosystem": 24, "ecp": 24, "edit": 16, "effici": [14, 18, 19, 24], "eight": 9, "eighth": 19, "either": 29, "element": 28, "eleventh": 19, "elif": 22, "els": 14, "empti": [0, 13, 22, 28, 31], "enable_log": 4, "encourag": [16, 27], "end": [10, 13, 18], "energi": [18, 19, 27], "engin": [18, 19, 27], "enjoi": 28, "ensur": [16, 17, 19, 27, 28], "enum": [0, 25], "env": [0, 1, 2, 4, 15, 22, 25, 26], "envconfig": [0, 1], "environ": [13, 16, 21, 24, 25], "epl": [18, 19, 27], "eprint": 24, "eq": [0, 13, 17, 18, 19, 25, 27, 28, 31], "equal": [0, 13, 14, 18, 19, 21, 27], "equat": [18, 19], "error": [18, 19, 27], "escap": 24, "especi": [10, 20], "etc": [20, 24], "europ": 14, "ev": 13, "evalu": [18, 19, 27, 28, 31], "everyth": 16, "exact": 28, "exampl": [10, 14, 17, 18, 19, 20, 21, 22, 25, 28, 31], "exce": 9, "excel": 17, "except": [10, 12, 13, 32], "execut": 16, "exist": 14, "exit": [18, 19, 27], "exp": [13, 18, 27], "expect": 16, "expl": [28, 31], "explain": 21, "explicit": 18, "exploit": 18, "exponenti": [11, 24, 27], "export": 21, "expos": 16, "expr": [0, 12, 13, 14, 20], "expr1": 20, "expr2": 20, "expr3": 20, "expr_or_var": 12, "expr_valu": [20, 25], "exprbuild": [0, 14, 17, 19, 20], "express": [11, 13, 14, 24, 25, 27], "extens": [11, 25], "extra": 21, "extract": 27, "f": [0, 14, 17, 19, 21, 25, 27, 28, 31], "fac": 9, "facil": 9, "fact": 27, "fail": 21, "fals": [0, 1, 2, 3, 4, 13, 21, 24, 25, 27], "fanci": 28, "fast": 24, "fast_expr": 20, "faster": [11, 24], "fastest": 24, "feasibl": [28, 31], "feasible_point": 0, "featur": [10, 16, 21, 28], "few": 27, "fifth": 19, "file": [11, 13, 16, 21, 24, 30], "final": [16, 17, 18, 19, 21, 27, 28, 31], "find": 18, "first": [11, 17, 19, 21, 27], "firstli": [16, 17, 28], "fix": [11, 14], "flag": 10, "flatten": 14, "flexibl": 14, "fliplr": [28, 31], "float": [0, 12, 13, 17, 25, 32], "flow": [24, 27], "fmtlib": 24, "folder": [13, 24], "follow": [10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 32], 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Building Bigger Optimization Model