(testing) add res, cap and multiple devices test

This commit is contained in:
Markus Mueller 2022-05-06 13:50:42 +02:00 committed by DSPOM
parent daee9857ed
commit 4036e4ec26
11 changed files with 2295 additions and 1 deletions

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/*
* Copyright© 2022 SemiMod UG. All rights reserved.
*
* This is an exemplary implementation of the OSDI interface for the Verilog-A
* model specified in diode.va. In the future, the OpenVAF compiler shall
* generate an comparable object file. Primary purpose of this is example to
* have a concrete example for the OSDI interface, OpenVAF will generate a more
* optimized implementation.
*
*/
#include "osdi.h"
#include "string.h"
#include <math.h>
#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>
#include <stdio.h>
// public interface
extern uint32_t OSDI_VERSION_MAJOR;
extern uint32_t OSDI_VERSION_MINOR;
extern uint32_t OSDI_NUM_DESCRIPTORS;
extern OsdiDescriptor OSDI_DESCRIPTORS[1];
// number of nodes and definitions of node ids for nicer syntax in this file
// note: order should be same as "nodes" list defined later
#define NUM_NODES 3
#define P 0
#define M 1
// number of matrix entries and definitions for Jacobian entries for nicer
// syntax in this file
#define NUM_MATRIX 4
#define P_P 0
#define P_M 1
#define M_P 2
#define M_M 3
// The model structure for the diode
typedef struct CapacitorModel
{
double C;
bool C_given;
} CapacitorModel;
// The instace structure for the diode
typedef struct CapacitorInstance
{
double temperature;
double rhs_resist[NUM_NODES];
double rhs_react[NUM_NODES];
double jacobian_resist[NUM_MATRIX];
double jacobian_react[NUM_MATRIX];
double *jacobian_ptr_resist[NUM_MATRIX];
double *jacobian_ptr_react[NUM_MATRIX];
uint32_t node_off[NUM_NODES];
} CapacitorInstance;
// implementation of the access function as defined by the OSDI spec
void *osdi_access(void *inst_, void *model_, uint32_t id, uint32_t flags)
{
CapacitorModel *model = (CapacitorModel *)model_;
CapacitorInstance *inst = (CapacitorInstance *)inst_;
bool *given;
void *value;
switch (id) // id of params defined in param_opvar array
{
case 0:
value = (void *)&model->C;
given = &model->C_given;
break;
default:
return NULL;
}
if (flags & ACCESS_FLAG_SET)
{
*given = true;
}
return value;
}
// implementation of the setup_model function as defined in the OSDI spec
OsdiInitInfo setup_model(void *_handle, void *model_)
{
CapacitorModel *model = (CapacitorModel *)model_;
// set parameters and check bounds
if (!model->C_given)
{
model->C = 1e-15;
}
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the setup_instace function as defined in the OSDI spec
OsdiInitInfo setup_instance(void *_handle, void *inst_, void *model_,
double temperature, uint32_t _num_terminals)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
CapacitorModel *model = (CapacitorModel *)model_;
inst->temperature = temperature;
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the eval function as defined in the OSDI spec
uint32_t eval(void *handle, void *inst_, void *model_, uint32_t flags,
double *prev_solve, OsdiSimParas *sim_params)
{
CapacitorModel *model = (CapacitorModel *)model_;
CapacitorInstance *inst = (CapacitorInstance *)inst_;
// get voltages
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
double vpm = vp - vm;
double gmin = 1e-12;
for (int i = 0; sim_params->names[i] != NULL; i++)
{
if (strcmp(sim_params->names[i], "gmin") == 0)
{
gmin = sim_params->vals[i];
}
}
double qc_vpm = model->C;
double qc = model->C * vpm;
////////////////////////////////
// evaluate model equations
////////////////////////////////
if (flags & CALC_REACT_RESIDUAL)
{
// write react rhs
inst->rhs_react[P] = qc;
inst->rhs_react[M] = -qc;
}
//////////////////
// write Jacobian
//////////////////
if (flags & CALC_REACT_JACOBIAN)
{
// write react matrix
// stamp Qd between nodes A and Ci depending also on dT
inst->jacobian_react[P_P] = qc_vpm;
inst->jacobian_react[P_M] = -qc_vpm;
inst->jacobian_react[M_P] = -qc_vpm;
inst->jacobian_react[M_M] = qc_vpm;
}
return 0;
}
// TODO implementation of the load_noise function as defined in the OSDI spec
void load_noise(void *inst, void *model, double freq, double *noise_dens,
double *ln_noise_dens)
{
// TODO add noise to example
}
#define LOAD_RHS_RESIST(name) \
dst[inst->node_off[name]] += inst->rhs_resist[name];
// implementation of the load_rhs_resist function as defined in the OSDI spec
void load_residual_resist(void *inst_, double *dst)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_RHS_RESIST(P)
LOAD_RHS_RESIST(M)
}
#define LOAD_RHS_REACT(name) dst[inst->node_off[name]] += inst->rhs_react[name];
// implementation of the load_rhs_react function as defined in the OSDI spec
void load_residual_react(void *inst_, double *dst)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_RHS_REACT(P)
LOAD_RHS_REACT(M)
}
#define LOAD_MATRIX_RESIST(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_resist[name];
// implementation of the load_matrix_resist function as defined in the OSDI spec
void load_jacobian_resist(void *inst_)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_MATRIX_RESIST(P_P)
LOAD_MATRIX_RESIST(P_M)
LOAD_MATRIX_RESIST(M_P)
LOAD_MATRIX_RESIST(M_M)
}
#define LOAD_MATRIX_REACT(name) \
*inst->jacobian_ptr_react[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_react function as defined in the OSDI spec
void load_jacobian_react(void *inst_, double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_MATRIX_REACT(P_P)
LOAD_MATRIX_REACT(M_M)
LOAD_MATRIX_REACT(P_M)
LOAD_MATRIX_REACT(M_P)
}
#define LOAD_MATRIX_TRAN(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_tran function as defined in the OSDI spec
void load_jacobian_tran(void *inst_, double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
// set dc stamps
load_jacobian_resist(inst_);
// add reactive contributions
LOAD_MATRIX_TRAN(P_P)
LOAD_MATRIX_TRAN(M_M)
LOAD_MATRIX_TRAN(M_P)
LOAD_MATRIX_TRAN(M_M)
}
// implementation of the load_spice_rhs_dc function as defined in the OSDI spec
void load_spice_rhs_dc(void *inst_, double *dst, double *prev_solve)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
dst[inst->node_off[P]] += inst->jacobian_resist[P_M] * vm +
inst->jacobian_resist[P_P] * vp -
inst->rhs_resist[P];
dst[inst->node_off[M]] += inst->jacobian_resist[M_P] * vp +
inst->jacobian_resist[M_M] * vm -
inst->rhs_resist[M];
}
// implementation of the load_spice_rhs_tran function as defined in the OSDI
// spec
void load_spice_rhs_tran(void *inst_, double *dst, double *prev_solve,
double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
// set DC rhs
load_spice_rhs_dc(inst_, dst, prev_solve);
// add contributions due to reactive elements
dst[inst->node_off[P]] +=
alpha * (inst->jacobian_react[P_P] * vp +
inst->jacobian_react[P_M] * vm);
dst[inst->node_off[M]] += alpha * (inst->jacobian_react[M_M] * vm +
inst->jacobian_react[M_P] * vp);
}
// structure that provides information of all nodes of the model
OsdiNode nodes[NUM_NODES] = {
{.name = "P", .units = "V", .is_reactive = true},
{.name = "M", .units = "V", .is_reactive = true},
};
// boolean array that tells which Jacobian entries are constant. Nothing is
// constant with selfheating, though.
bool const_jacobian_entries[NUM_MATRIX] = {};
// these node pairs specify which entries in the Jacobian must be accounted for
OsdiNodePair jacobian_entries[NUM_MATRIX] = {
{P, P},
{P, M},
{M, P},
{M, M},
};
#define NUM_PARAMS 1
// the model parameters as defined in Verilog-A, bounds and default values are
// stored elsewhere as they may depend on model parameters etc.
OsdiParamOpvar params[NUM_PARAMS] = {
{
.name = (char *[]){"C"},
.num_alias = 0,
.description = "Capacitance",
.units = "Farad",
.flags = PARA_TY_REAL | PARA_KIND_MODEL,
.len = 0,
},
};
// fill exported data
uint32_t OSDI_VERSION_MAJOR = OSDI_VERSION_MAJOR_CURR;
uint32_t OSDI_VERSION_MINOR = OSDI_VERSION_MINOR_CURR;
uint32_t OSDI_NUM_DESCRIPTORS = 1;
// this is the main structure used by simulators, it gives access to all
// information in a model
OsdiDescriptor OSDI_DESCRIPTORS[1] = {{
// metadata
.name = "capacitor_va",
// nodes
.num_nodes = NUM_NODES,
.num_terminals = 2,
.nodes = (OsdiNode *)&nodes,
// matrix entries
.num_jacobian_entries = NUM_MATRIX,
.jacobian_entries = (OsdiNodePair *)&jacobian_entries,
.const_jacobian_entries = (bool *)&const_jacobian_entries,
// memory
.instance_size = sizeof(CapacitorInstance),
.model_size = sizeof(CapacitorModel),
.residual_resist_offset = offsetof(CapacitorInstance, rhs_resist),
.residual_react_offset = offsetof(CapacitorInstance, rhs_react),
.node_mapping_offset = offsetof(CapacitorInstance, node_off),
.jacobian_resist_offset = offsetof(CapacitorInstance, jacobian_resist),
.jacobian_react_offset = offsetof(CapacitorInstance, jacobian_react),
.jacobian_ptr_resist_offset = offsetof(CapacitorInstance, jacobian_ptr_resist),
.jacobian_ptr_react_offset = offsetof(CapacitorInstance, jacobian_ptr_react),
// TODO add node collapsing to example
// node collapsing
.num_collapsible = 0,
.collapsible = NULL,
.is_collapsible_offset = 0,
// noise
.noise_sources = NULL,
.num_noise_src = 0,
// parameters and op vars
.num_params = NUM_PARAMS,
.num_instance_params = 0,
.num_opvars = 0,
.param_opvar = (OsdiParamOpvar *)&params,
// setup
.access = &osdi_access,
.setup_model = &setup_model,
.setup_instance = &setup_instance,
.eval = &eval,
.load_noise = &load_noise,
.load_residual_resist = &load_residual_resist,
.load_residual_react = &load_residual_react,
.load_spice_rhs_dc = &load_spice_rhs_dc,
.load_spice_rhs_tran = &load_spice_rhs_tran,
.load_jacobian_resist = &load_jacobian_resist,
.load_jacobian_react = &load_jacobian_react,
.load_jacobian_tran = &load_jacobian_tran,
}};

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OSDI Capacitor Test
.options abstol=1e-15
* one voltage source for sweeping, one for sensing:
VD Dx 0 DC 0 AC 1 SIN (0.5 0.2 1M)
Vsense Dx D DC 0
* model definitions:
.model cmod_osdi osdi capacitor_va c=5e-12
*OSDI Capacitor:
*OSDI_ACTIVATE*A1 D 0 cmod_osdi
*Built-in Capacitor:
*BUILT_IN_ACTIVATE*C1 D 0 5e-12
.control
set filetype=ascii
set wr_vecnames
set wr_singlescale
* a DC sweep from 0.3V to 1V
dc Vd 0.3 1.0 0.01
wrdata dc_sim.ngspice v(d) i(vsense)
* an AC sweep at Vd=0.5V
alter VD=0.5
ac dec 10 .01 10
wrdata ac_sim.ngspice v(d) i(vsense)
* a transient analysis
tran 100ms 500000ms
wrdata tr_sim.ngspice v(d) i(vsense)
* print number of iterations
rusage totiter
.endc
.end

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""" test OSDI simulation of capacitor
"""
import os, shutil
import numpy as np
import subprocess
import pandas as pd
directory = os.path.dirname(__file__)
# This test runs a DC, AC and Transient Simulation of a simple capacitor.
# The capacitor is available as a C file and needs to be compiled to a shared object
# and then bet put into /usr/local/share/ngspice/osdi:
#
# > make osdi_capacitor
# > cp capacitor_osdi.so /usr/local/share/ngspice/osdi/capacitor_osdi.so
#
# The integration test proves the functioning of the OSDI interface.
# Future tests will target Verilog-A models like HICUM/L2 that should yield exactly the same results as the Ngspice implementation.
def create_shared_object():
# place the file "capacitor_va.c" next to this file
subprocess.run(
[
"gcc",
"-c",
"-Wall",
"-I",
"../../src/spicelib/devices/osdi/",
"-fpic",
"capacitor_va.c",
"-ggdb",
],
cwd=directory,
)
subprocess.run(
["gcc", "-shared", "-o", "capacitor_va.so", "capacitor_va.o", "-ggdb"],
cwd=directory,
)
os.makedirs(os.path.join(directory, "test_osdi", "osdi"), exist_ok=True)
subprocess.run(
["mv", "capacitor_va.so", "test_osdi/osdi/capacitor_va.so"], cwd=directory
)
subprocess.run(["rm", "capacitor_va.o"], cwd=directory)
# specify location of Ngspice executable to be tested
ngspice_path = os.path.join(directory, "../../debug/src/ngspice")
ngspice_path = os.path.abspath(ngspice_path)
def test_ngspice():
path_netlist = os.path.join(directory, "netlist.sp")
# open netlist and activate Ngspice capacitor
with open(path_netlist) as netlist_handle:
netlist_raw = netlist_handle.read()
netlist_osdi = netlist_raw.replace("*OSDI_ACTIVATE*", "")
netlist_built_in = netlist_raw.replace("*BUILT_IN_ACTIVATE*", "")
# make directories for test cases
dir_osdi = os.path.join(directory, "test_osdi")
dir_built_in = os.path.join(directory, "test_built_in")
# remove old results:
for directory_i in [dir_osdi, dir_built_in]:
shutil.rmtree(directory_i, ignore_errors=True)
for directory_i in [dir_osdi, dir_built_in]:
os.makedirs(directory_i, exist_ok=True)
create_shared_object()
# write netlists
with open(os.path.join(dir_osdi, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_osdi)
with open(os.path.join(dir_built_in, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_built_in)
# run simulations with Ngspice
for directory_i in [dir_osdi, dir_built_in]:
subprocess.run(
[
ngspice_path,
"netlist.sp",
"-b",
],
cwd=directory_i,
)
# read DC simulation results
dc_data_osdi = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
dc_data_built_in = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
# dc_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "dc_sim.ngspice"), sep="\\s+"
# )
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_osdi["i(vsense)"].to_numpy()
# id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
# read AC simulation results
ac_data_osdi = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
ac_data_built_in = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
# ac_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "ac_sim.ngspice"), sep="\\s+"
# )
# read TR simulation results
tr_data_osdi = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
tr_data_built_in = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
# tr_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "tr_sim.ngspice"), sep="\\s+"
# )
# test simulation results
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
np.testing.assert_allclose(id_osdi[0:20], id_built_in[0:20], rtol=0.01)
return (
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
)
if __name__ == "__main__":
(
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
) = test_ngspice()
import matplotlib.pyplot as plt
# DC Plot
pd_built_in = dc_data_built_in["v(d)"] * dc_data_built_in["i(vsense)"]
pd_osdi = dc_data_osdi["v(d)"] * dc_data_osdi["i(vsense)"]
fig, ax1 = plt.subplots()
ax1.plot(
dc_data_built_in["v(d)"],
dc_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
ax1.plot(
dc_data_osdi["v(d)"],
dc_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
ax1.set_ylabel(r"$I_{\mathrm{P}} (\mathrm{mA})$")
ax1.set_xlabel(r"$V_{\mathrm{PM}}(\mathrm{V})$")
plt.legend()
# AC Plot
omega = 2 * np.pi * ac_data_osdi["frequency"]
z_analytical = 5e-12 * omega
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_osdi["frequency"], ac_data_osdi["i(vsense)"] * 1e3, label="OSDI"
)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Re \\left\{ Y_{11} \\right\} (\\mathrm{mS})$")
plt.legend()
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense).1"] * 1e12 / omega,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_osdi["frequency"],
ac_data_osdi["i(vsense).1"] * 1e12 / omega,
label="OSDI",
)
plt.semilogx(
ac_data_osdi["frequency"],
np.ones_like(ac_data_osdi["frequency"]) * z_analytical * 1e12 / omega,
label="analytical",
linestyle="--",
marker="s",
)
plt.ylim(1, 9)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Im\\left\{Y_{11}\\right\}/(\\omega) (\\mathrm{pF})$")
plt.legend()
# TR plot
fig = plt.figure()
plt.plot(
tr_data_built_in["time"] * 1e9,
tr_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.plot(
tr_data_osdi["time"] * 1e9,
tr_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
plt.xlabel(r"$t(\mathrm{nS})$")
plt.ylabel(r"$I_{\mathrm{D}}(\mathrm{mA})$")
plt.legend()
plt.show()

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def create_shared_object():
# plave the file "diode_va.c" next to this file
# place the file "diode_va.c" next to this file
subprocess.run(
[
"gcc",

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/*
* Copyright© 2022 SemiMod UG. All rights reserved.
*
* This is an exemplary implementation of the OSDI interface for the Verilog-A
* model specified in diode.va. In the future, the OpenVAF compiler shall
* generate an comparable object file. Primary purpose of this is example to
* have a concrete example for the OSDI interface, OpenVAF will generate a more
* optimized implementation.
*
*/
#include "osdi.h"
#include "string.h"
#include <math.h>
#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>
#include <stdio.h>
// public interface
extern uint32_t OSDI_VERSION_MAJOR;
extern uint32_t OSDI_VERSION_MINOR;
extern uint32_t OSDI_NUM_DESCRIPTORS;
extern OsdiDescriptor OSDI_DESCRIPTORS[1];
// number of nodes and definitions of node ids for nicer syntax in this file
// note: order should be same as "nodes" list defined later
#define NUM_NODES 3
#define P 0
#define M 1
// number of matrix entries and definitions for Jacobian entries for nicer
// syntax in this file
#define NUM_MATRIX 4
#define P_P 0
#define P_M 1
#define M_P 2
#define M_M 3
// The model structure for the diode
typedef struct CapacitorModel
{
double C;
bool C_given;
} CapacitorModel;
// The instace structure for the diode
typedef struct CapacitorInstance
{
double temperature;
double rhs_resist[NUM_NODES];
double rhs_react[NUM_NODES];
double jacobian_resist[NUM_MATRIX];
double jacobian_react[NUM_MATRIX];
double *jacobian_ptr_resist[NUM_MATRIX];
double *jacobian_ptr_react[NUM_MATRIX];
uint32_t node_off[NUM_NODES];
} CapacitorInstance;
// implementation of the access function as defined by the OSDI spec
void *osdi_access(void *inst_, void *model_, uint32_t id, uint32_t flags)
{
CapacitorModel *model = (CapacitorModel *)model_;
CapacitorInstance *inst = (CapacitorInstance *)inst_;
bool *given;
void *value;
switch (id) // id of params defined in param_opvar array
{
case 0:
value = (void *)&model->C;
given = &model->C_given;
break;
default:
return NULL;
}
if (flags & ACCESS_FLAG_SET)
{
*given = true;
}
return value;
}
// implementation of the setup_model function as defined in the OSDI spec
OsdiInitInfo setup_model(void *_handle, void *model_)
{
CapacitorModel *model = (CapacitorModel *)model_;
// set parameters and check bounds
if (!model->C_given)
{
model->C = 1e-15;
}
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the setup_instace function as defined in the OSDI spec
OsdiInitInfo setup_instance(void *_handle, void *inst_, void *model_,
double temperature, uint32_t _num_terminals)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
CapacitorModel *model = (CapacitorModel *)model_;
inst->temperature = temperature;
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the eval function as defined in the OSDI spec
uint32_t eval(void *handle, void *inst_, void *model_, uint32_t flags,
double *prev_solve, OsdiSimParas *sim_params)
{
CapacitorModel *model = (CapacitorModel *)model_;
CapacitorInstance *inst = (CapacitorInstance *)inst_;
// get voltages
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
double vpm = vp - vm;
double gmin = 1e-12;
for (int i = 0; sim_params->names[i] != NULL; i++)
{
if (strcmp(sim_params->names[i], "gmin") == 0)
{
gmin = sim_params->vals[i];
}
}
double qc_vpm = model->C;
double qc = model->C * vpm;
////////////////////////////////
// evaluate model equations
////////////////////////////////
if (flags & CALC_REACT_RESIDUAL)
{
// write react rhs
inst->rhs_react[P] = qc;
inst->rhs_react[M] = -qc;
}
//////////////////
// write Jacobian
//////////////////
if (flags & CALC_REACT_JACOBIAN)
{
// write react matrix
// stamp Qd between nodes A and Ci depending also on dT
inst->jacobian_react[P_P] = qc_vpm;
inst->jacobian_react[P_M] = -qc_vpm;
inst->jacobian_react[M_P] = -qc_vpm;
inst->jacobian_react[M_M] = qc_vpm;
}
return 0;
}
// TODO implementation of the load_noise function as defined in the OSDI spec
void load_noise(void *inst, void *model, double freq, double *noise_dens,
double *ln_noise_dens)
{
// TODO add noise to example
}
#define LOAD_RHS_RESIST(name) \
dst[inst->node_off[name]] += inst->rhs_resist[name];
// implementation of the load_rhs_resist function as defined in the OSDI spec
void load_residual_resist(void *inst_, double *dst)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_RHS_RESIST(P)
LOAD_RHS_RESIST(M)
}
#define LOAD_RHS_REACT(name) dst[inst->node_off[name]] += inst->rhs_react[name];
// implementation of the load_rhs_react function as defined in the OSDI spec
void load_residual_react(void *inst_, double *dst)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_RHS_REACT(P)
LOAD_RHS_REACT(M)
}
#define LOAD_MATRIX_RESIST(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_resist[name];
// implementation of the load_matrix_resist function as defined in the OSDI spec
void load_jacobian_resist(void *inst_)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_MATRIX_RESIST(P_P)
LOAD_MATRIX_RESIST(P_M)
LOAD_MATRIX_RESIST(M_P)
LOAD_MATRIX_RESIST(M_M)
}
#define LOAD_MATRIX_REACT(name) \
*inst->jacobian_ptr_react[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_react function as defined in the OSDI spec
void load_jacobian_react(void *inst_, double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
LOAD_MATRIX_REACT(P_P)
LOAD_MATRIX_REACT(M_M)
LOAD_MATRIX_REACT(P_M)
LOAD_MATRIX_REACT(M_P)
}
#define LOAD_MATRIX_TRAN(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_tran function as defined in the OSDI spec
void load_jacobian_tran(void *inst_, double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
// set dc stamps
load_jacobian_resist(inst_);
// add reactive contributions
LOAD_MATRIX_TRAN(P_P)
LOAD_MATRIX_TRAN(M_M)
LOAD_MATRIX_TRAN(M_P)
LOAD_MATRIX_TRAN(M_M)
}
// implementation of the load_spice_rhs_dc function as defined in the OSDI spec
void load_spice_rhs_dc(void *inst_, double *dst, double *prev_solve)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
dst[inst->node_off[P]] += inst->jacobian_resist[P_M] * vm +
inst->jacobian_resist[P_P] * vp -
inst->rhs_resist[P];
dst[inst->node_off[M]] += inst->jacobian_resist[M_P] * vp +
inst->jacobian_resist[M_M] * vm -
inst->rhs_resist[M];
}
// implementation of the load_spice_rhs_tran function as defined in the OSDI
// spec
void load_spice_rhs_tran(void *inst_, double *dst, double *prev_solve,
double alpha)
{
CapacitorInstance *inst = (CapacitorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
// set DC rhs
load_spice_rhs_dc(inst_, dst, prev_solve);
// add contributions due to reactive elements
dst[inst->node_off[P]] +=
alpha * (inst->jacobian_react[P_P] * vp +
inst->jacobian_react[P_M] * vm);
dst[inst->node_off[M]] += alpha * (inst->jacobian_react[M_M] * vm +
inst->jacobian_react[M_P] * vp);
}
// structure that provides information of all nodes of the model
OsdiNode nodes[NUM_NODES] = {
{.name = "P", .units = "V", .is_reactive = true},
{.name = "M", .units = "V", .is_reactive = true},
};
// boolean array that tells which Jacobian entries are constant. Nothing is
// constant with selfheating, though.
bool const_jacobian_entries[NUM_MATRIX] = {};
// these node pairs specify which entries in the Jacobian must be accounted for
OsdiNodePair jacobian_entries[NUM_MATRIX] = {
{P, P},
{P, M},
{M, P},
{M, M},
};
#define NUM_PARAMS 1
// the model parameters as defined in Verilog-A, bounds and default values are
// stored elsewhere as they may depend on model parameters etc.
OsdiParamOpvar params[NUM_PARAMS] = {
{
.name = (char *[]){"C"},
.num_alias = 0,
.description = "Capacitance",
.units = "Farad",
.flags = PARA_TY_REAL | PARA_KIND_MODEL,
.len = 0,
},
};
// fill exported data
uint32_t OSDI_VERSION_MAJOR = OSDI_VERSION_MAJOR_CURR;
uint32_t OSDI_VERSION_MINOR = OSDI_VERSION_MINOR_CURR;
uint32_t OSDI_NUM_DESCRIPTORS = 1;
// this is the main structure used by simulators, it gives access to all
// information in a model
OsdiDescriptor OSDI_DESCRIPTORS[1] = {{
// metadata
.name = "capacitor_va",
// nodes
.num_nodes = NUM_NODES,
.num_terminals = 2,
.nodes = (OsdiNode *)&nodes,
// matrix entries
.num_jacobian_entries = NUM_MATRIX,
.jacobian_entries = (OsdiNodePair *)&jacobian_entries,
.const_jacobian_entries = (bool *)&const_jacobian_entries,
// memory
.instance_size = sizeof(CapacitorInstance),
.model_size = sizeof(CapacitorModel),
.residual_resist_offset = offsetof(CapacitorInstance, rhs_resist),
.residual_react_offset = offsetof(CapacitorInstance, rhs_react),
.node_mapping_offset = offsetof(CapacitorInstance, node_off),
.jacobian_resist_offset = offsetof(CapacitorInstance, jacobian_resist),
.jacobian_react_offset = offsetof(CapacitorInstance, jacobian_react),
.jacobian_ptr_resist_offset = offsetof(CapacitorInstance, jacobian_ptr_resist),
.jacobian_ptr_react_offset = offsetof(CapacitorInstance, jacobian_ptr_react),
// TODO add node collapsing to example
// node collapsing
.num_collapsible = 0,
.collapsible = NULL,
.is_collapsible_offset = 0,
// noise
.noise_sources = NULL,
.num_noise_src = 0,
// parameters and op vars
.num_params = NUM_PARAMS,
.num_instance_params = 0,
.num_opvars = 0,
.param_opvar = (OsdiParamOpvar *)&params,
// setup
.access = &osdi_access,
.setup_model = &setup_model,
.setup_instance = &setup_instance,
.eval = &eval,
.load_noise = &load_noise,
.load_residual_resist = &load_residual_resist,
.load_residual_react = &load_residual_react,
.load_spice_rhs_dc = &load_spice_rhs_dc,
.load_spice_rhs_tran = &load_spice_rhs_tran,
.load_jacobian_resist = &load_jacobian_resist,
.load_jacobian_react = &load_jacobian_react,
.load_jacobian_tran = &load_jacobian_tran,
}};

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OSDI Resistor Test
.options abstol=1e-15
* one voltage source for sweeping, one for sensing:
VD Dx 0 DC 0 AC 1 SIN (0.5 0.2 1M)
Vsense Dx D DC 0
* model definitions:
.model rmod_osdi osdi resistor_va r=10
.model cmod_osdi osdi capacitor_va r=5e-12
*OSDI Resistor and Capacitor:
*OSDI_ACTIVATE*A1 D 0 rmod_osdi
*OSDI_ACTIVATE*A1 D 0 cmod_osdi
*Built-in Capacitor and Resistor:
*BUILT_IN_ACTIVATE*R1 D 0 10
*BUILT_IN_ACTIVATE*C1 D 0 5e-12
.control
set filetype=ascii
set wr_vecnames
set wr_singlescale
* a DC sweep from 0.3V to 1V
dc Vd 0.3 1.0 0.01
wrdata dc_sim.ngspice v(d) i(vsense)
* an AC sweep at Vd=0.5V
alter VD=0.5
ac dec 10 .01 10
wrdata ac_sim.ngspice v(d) i(vsense)
* a transient analysis
tran 100ms 500000ms
wrdata tr_sim.ngspice v(d) i(vsense)
* print number of iterations
rusage totiter
.endc
.end

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/*
* Copyright© 2022 SemiMod UG. All rights reserved.
*
* This is an exemplary implementation of the OSDI interface for the Verilog-A
* model specified in diode.va. In the future, the OpenVAF compiler shall
* generate an comparable object file. Primary purpose of this is example to
* have a concrete example for the OSDI interface, OpenVAF will generate a more
* optimized implementation.
*
*/
#include "osdi.h"
#include "string.h"
#include <math.h>
#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>
#include <stdio.h>
// public interface
extern uint32_t OSDI_VERSION_MAJOR;
extern uint32_t OSDI_VERSION_MINOR;
extern uint32_t OSDI_NUM_DESCRIPTORS;
extern OsdiDescriptor OSDI_DESCRIPTORS[1];
// number of nodes and definitions of node ids for nicer syntax in this file
// note: order should be same as "nodes" list defined later
#define NUM_NODES 3
#define P 0
#define M 1
// number of matrix entries and definitions for Jacobian entries for nicer
// syntax in this file
#define NUM_MATRIX 4
#define P_P 0
#define P_M 1
#define M_P 2
#define M_M 3
// The model structure for the diode
typedef struct ResistorModel
{
double R;
bool R_given;
} ResistorModel;
// The instace structure for the diode
typedef struct ResistorInstance
{
double temperature;
double rhs_resist[NUM_NODES];
double rhs_react[NUM_NODES];
double jacobian_resist[NUM_MATRIX];
double jacobian_react[NUM_MATRIX];
double *jacobian_ptr_resist[NUM_MATRIX];
double *jacobian_ptr_react[NUM_MATRIX];
uint32_t node_off[NUM_NODES];
} ResistorInstance;
// implementation of the access function as defined by the OSDI spec
void *osdi_access(void *inst_, void *model_, uint32_t id, uint32_t flags)
{
ResistorModel *model = (ResistorModel *)model_;
ResistorInstance *inst = (ResistorInstance *)inst_;
bool *given;
void *value;
switch (id) // id of params defined in param_opvar array
{
case 0:
value = (void *)&model->R;
given = &model->R_given;
break;
default:
return NULL;
}
if (flags & ACCESS_FLAG_SET)
{
*given = true;
}
return value;
}
// implementation of the setup_model function as defined in the OSDI spec
OsdiInitInfo setup_model(void *_handle, void *model_)
{
ResistorModel *model = (ResistorModel *)model_;
// set parameters and check bounds
if (!model->R_given)
{
model->R = 1;
}
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the setup_instace function as defined in the OSDI spec
OsdiInitInfo setup_instance(void *_handle, void *inst_, void *model_,
double temperature, uint32_t _num_terminals)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
ResistorModel *model = (ResistorModel *)model_;
inst->temperature = temperature;
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the eval function as defined in the OSDI spec
uint32_t eval(void *handle, void *inst_, void *model_, uint32_t flags,
double *prev_solve, OsdiSimParas *sim_params)
{
ResistorModel *model = (ResistorModel *)model_;
ResistorInstance *inst = (ResistorInstance *)inst_;
// get voltages
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
double vpm = vp - vm;
double ir = vpm / model->R;
double g = 1 / model->R;
////////////////
// write rhs
////////////////
if (flags & CALC_RESIST_RESIDUAL)
{
// write resist rhs
inst->rhs_resist[P] = ir;
inst->rhs_resist[M] = -ir;
}
//////////////////
// write Jacobian
//////////////////
if (flags & CALC_RESIST_JACOBIAN)
{
// stamp resistor
inst->jacobian_resist[P_P] = g;
inst->jacobian_resist[P_M] = -g;
inst->jacobian_resist[M_P] = -g;
inst->jacobian_resist[M_M] = g;
}
return 0;
}
// TODO implementation of the load_noise function as defined in the OSDI spec
void load_noise(void *inst, void *model, double freq, double *noise_dens,
double *ln_noise_dens)
{
// TODO add noise to example
}
#define LOAD_RHS_RESIST(name) \
dst[inst->node_off[name]] += inst->rhs_resist[name];
// implementation of the load_rhs_resist function as defined in the OSDI spec
void load_residual_resist(void *inst_, double *dst)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_RHS_RESIST(P)
LOAD_RHS_RESIST(M)
}
#define LOAD_RHS_REACT(name) dst[inst->node_off[name]] += inst->rhs_react[name];
// implementation of the load_rhs_react function as defined in the OSDI spec
void load_residual_react(void *inst_, double *dst)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_RHS_REACT(P)
LOAD_RHS_REACT(M)
}
#define LOAD_MATRIX_RESIST(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_resist[name];
// implementation of the load_matrix_resist function as defined in the OSDI spec
void load_jacobian_resist(void *inst_)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_MATRIX_RESIST(P_P)
LOAD_MATRIX_RESIST(P_M)
LOAD_MATRIX_RESIST(M_P)
LOAD_MATRIX_RESIST(M_M)
}
#define LOAD_MATRIX_REACT(name) \
*inst->jacobian_ptr_react[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_react function as defined in the OSDI spec
void load_jacobian_react(void *inst_, double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_MATRIX_REACT(P_P)
LOAD_MATRIX_REACT(M_M)
LOAD_MATRIX_REACT(P_M)
LOAD_MATRIX_REACT(M_P)
}
#define LOAD_MATRIX_TRAN(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_tran function as defined in the OSDI spec
void load_jacobian_tran(void *inst_, double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
// set dc stamps
load_jacobian_resist(inst_);
// add reactive contributions
LOAD_MATRIX_TRAN(P_P)
LOAD_MATRIX_TRAN(M_M)
LOAD_MATRIX_TRAN(M_P)
LOAD_MATRIX_TRAN(M_M)
}
// implementation of the load_spice_rhs_dc function as defined in the OSDI spec
void load_spice_rhs_dc(void *inst_, double *dst, double *prev_solve)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
dst[inst->node_off[P]] += inst->jacobian_resist[P_M] * vm +
inst->jacobian_resist[P_P] * vp -
inst->rhs_resist[P];
dst[inst->node_off[M]] += inst->jacobian_resist[M_P] * vp +
inst->jacobian_resist[M_M] * vm -
inst->rhs_resist[M];
}
// implementation of the load_spice_rhs_tran function as defined in the OSDI
// spec
void load_spice_rhs_tran(void *inst_, double *dst, double *prev_solve,
double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
// set DC rhs
load_spice_rhs_dc(inst_, dst, prev_solve);
// add contributions due to reactive elements
dst[inst->node_off[P]] +=
alpha * (inst->jacobian_react[P_P] * vp +
inst->jacobian_react[P_M] * vm);
dst[inst->node_off[M]] += alpha * (inst->jacobian_react[M_M] * vm +
inst->jacobian_react[M_P] * vp);
}
// structure that provides information of all nodes of the model
OsdiNode nodes[NUM_NODES] = {
{.name = "P", .units = "V", .is_reactive = false},
{.name = "M", .units = "V", .is_reactive = false},
};
// boolean array that tells which Jacobian entries are constant. Nothing is
// constant with selfheating, though.
bool const_jacobian_entries[NUM_MATRIX] = {};
// these node pairs specify which entries in the Jacobian must be accounted for
OsdiNodePair jacobian_entries[NUM_MATRIX] = {
{P, P},
{P, M},
{M, P},
{M, M},
};
#define NUM_PARAMS 1
// the model parameters as defined in Verilog-A, bounds and default values are
// stored elsewhere as they may depend on model parameters etc.
OsdiParamOpvar params[NUM_PARAMS] = {
{
.name = (char *[]){"R"},
.num_alias = 0,
.description = "Resistance",
.units = "Ohm",
.flags = PARA_TY_REAL | PARA_KIND_MODEL,
.len = 0,
},
};
// fill exported data
uint32_t OSDI_VERSION_MAJOR = OSDI_VERSION_MAJOR_CURR;
uint32_t OSDI_VERSION_MINOR = OSDI_VERSION_MINOR_CURR;
uint32_t OSDI_NUM_DESCRIPTORS = 1;
// this is the main structure used by simulators, it gives access to all
// information in a model
OsdiDescriptor OSDI_DESCRIPTORS[1] = {{
// metadata
.name = "resistor_va",
// nodes
.num_nodes = NUM_NODES,
.num_terminals = 2,
.nodes = (OsdiNode *)&nodes,
// matrix entries
.num_jacobian_entries = NUM_MATRIX,
.jacobian_entries = (OsdiNodePair *)&jacobian_entries,
.const_jacobian_entries = (bool *)&const_jacobian_entries,
// memory
.instance_size = sizeof(ResistorInstance),
.model_size = sizeof(ResistorModel),
.residual_resist_offset = offsetof(ResistorInstance, rhs_resist),
.residual_react_offset = offsetof(ResistorInstance, rhs_react),
.node_mapping_offset = offsetof(ResistorInstance, node_off),
.jacobian_resist_offset = offsetof(ResistorInstance, jacobian_resist),
.jacobian_react_offset = offsetof(ResistorInstance, jacobian_react),
.jacobian_ptr_resist_offset = offsetof(ResistorInstance, jacobian_ptr_resist),
.jacobian_ptr_react_offset = offsetof(ResistorInstance, jacobian_ptr_react),
// TODO add node collapsing to example
// node collapsing
.num_collapsible = 0,
.collapsible = NULL,
.is_collapsible_offset = 0,
// noise
.noise_sources = NULL,
.num_noise_src = 0,
// parameters and op vars
.num_params = NUM_PARAMS,
.num_instance_params = 0,
.num_opvars = 0,
.param_opvar = (OsdiParamOpvar *)&params,
// setup
.access = &osdi_access,
.setup_model = &setup_model,
.setup_instance = &setup_instance,
.eval = &eval,
.load_noise = &load_noise,
.load_residual_resist = &load_residual_resist,
.load_residual_react = &load_residual_react,
.load_spice_rhs_dc = &load_spice_rhs_dc,
.load_spice_rhs_tran = &load_spice_rhs_tran,
.load_jacobian_resist = &load_jacobian_resist,
.load_jacobian_react = &load_jacobian_react,
.load_jacobian_tran = &load_jacobian_tran,
}};

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""" test OSDI simulation of resistor and capacitor
"""
import os, shutil
import numpy as np
import subprocess
import pandas as pd
directory = os.path.dirname(__file__)
# This test runs a DC, AC and Transient Simulation of a simple resistor and resistor.
# The capacitor and resistor are available as C files and need to be compiled to a shared objects
# and then bet put into /usr/local/share/ngspice/osdi:
#
# > make osdi_resistor
# > cp resistor_osdi.so /usr/local/share/ngspice/osdi/resistor_osdi.so
# > make osdi_capacitor
# > cp capacitor_osdi.so /usr/local/share/ngspice/osdi/capacitor_osdi.so
#
# The integration test proves the functioning of the OSDI interface.
# Future tests will target Verilog-A models like HICUM/L2 that should yield exactly the same results as the Ngspice implementation.
def create_shared_object():
# place the file "resistor_va.c" and "capacitor_va.c" next to this file
for dev in ["capacitor", "resistor"]:
subprocess.run(
[
"gcc",
"-c",
"-Wall",
"-I",
"../../src/spicelib/devices/osdi/",
"-fpic",
dev + "_va.c",
"-ggdb",
],
cwd=directory,
)
subprocess.run(
["gcc", "-shared", "-o", dev + "_va.so", dev + "_va.o", "-ggdb"],
cwd=directory,
)
os.makedirs(os.path.join(directory, "test_osdi", "osdi"), exist_ok=True)
subprocess.run(
["mv", dev + "_va.so", "test_osdi/osdi/" + dev + "_va.so"], cwd=directory
)
subprocess.run(["rm", dev + "_va.o"], cwd=directory)
# specify location of Ngspice executable to be tested
ngspice_path = os.path.join(directory, "../../debug/src/ngspice")
ngspice_path = os.path.abspath(ngspice_path)
def test_ngspice():
path_netlist = os.path.join(directory, "netlist.sp")
# open netlist and activate Ngspice devices
with open(path_netlist) as netlist_handle:
netlist_raw = netlist_handle.read()
netlist_osdi = netlist_raw.replace("*OSDI_ACTIVATE*", "")
netlist_built_in = netlist_raw.replace("*BUILT_IN_ACTIVATE*", "")
# make directories for test cases
dir_osdi = os.path.join(directory, "test_osdi")
dir_built_in = os.path.join(directory, "test_built_in")
# remove old results:
for directory_i in [dir_osdi, dir_built_in]:
shutil.rmtree(directory_i, ignore_errors=True)
for directory_i in [dir_osdi, dir_built_in]:
os.makedirs(directory_i, exist_ok=True)
create_shared_object()
# write netlists
with open(os.path.join(dir_osdi, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_osdi)
with open(os.path.join(dir_built_in, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_built_in)
# run simulations with Ngspice
for directory_i in [dir_osdi, dir_built_in]:
subprocess.run(
[
ngspice_path,
"netlist.sp",
"-b",
],
cwd=directory_i,
)
# read DC simulation results
dc_data_osdi = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
dc_data_built_in = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
# dc_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "dc_sim.ngspice"), sep="\\s+"
# )
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_osdi["i(vsense)"].to_numpy()
# id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
# read AC simulation results
ac_data_osdi = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
ac_data_built_in = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
# ac_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "ac_sim.ngspice"), sep="\\s+"
# )
# read TR simulation results
tr_data_osdi = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
tr_data_built_in = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
# tr_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "tr_sim.ngspice"), sep="\\s+"
# )
# test simulation results
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
np.testing.assert_allclose(id_osdi[0:20], id_built_in[0:20], rtol=0.01)
return (
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
)
if __name__ == "__main__":
(
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
) = test_ngspice()
import matplotlib.pyplot as plt
# DC Plot
pd_built_in = dc_data_built_in["v(d)"] * dc_data_built_in["i(vsense)"]
pd_osdi = dc_data_osdi["v(d)"] * dc_data_osdi["i(vsense)"]
fig, ax1 = plt.subplots()
ax1.plot(
dc_data_built_in["v(d)"],
dc_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
ax1.plot(
dc_data_built_in["v(d)"],
dc_data_built_in["v(d)"] / 10 * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
ax1.plot(
dc_data_osdi["v(d)"],
dc_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
ax1.set_ylabel(r"$I_{\mathrm{P}} (\mathrm{mA})$")
ax1.set_xlabel(r"$V_{\mathrm{PM}}(\mathrm{V})$")
plt.legend()
# AC Plot
omega = 2 * np.pi * ac_data_osdi["frequency"]
z_analytical = 1 / 10
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_built_in["frequency"],
np.ones_like(ac_data_built_in["frequency"]) * z_analytical * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
plt.semilogx(
ac_data_osdi["frequency"], ac_data_osdi["i(vsense)"] * 1e3, label="OSDI"
)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Re \\left\{ Y_{11} \\right\} (\\mathrm{mS})$")
plt.legend()
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense).1"] * 1e12 / omega,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_built_in["frequency"],
np.zeros_like(ac_data_built_in["i(vsense).1"]) * 1e12 / omega,
label="analytical",
linestyle="--",
marker="s",
)
plt.semilogx(
ac_data_osdi["frequency"],
ac_data_osdi["i(vsense).1"] * 1e12 / omega,
label="OSDI",
)
plt.ylim(-1, 1)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Im\\left\{Y_{11}\\right\}/(\\omega) (\\mathrm{pF})$")
plt.legend()
# TR plot
fig = plt.figure()
plt.plot(
tr_data_built_in["time"] * 1e9,
tr_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.plot(
tr_data_built_in["time"] * 1e9,
tr_data_built_in["v(d)"] / 10 * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
plt.plot(
tr_data_osdi["time"] * 1e9,
tr_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
plt.xlabel(r"$t(\mathrm{nS})$")
plt.ylabel(r"$I_{\mathrm{D}}(\mathrm{mA})$")
plt.legend()
plt.show()

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OSDI Resistor Test
.options abstol=1e-15
* one voltage source for sweeping, one for sensing:
VD Dx 0 DC 0 AC 1 SIN (0.5 0.2 1M)
Vsense Dx D DC 0
* model definitions:
.model rmod_osdi osdi resistor_va r=10
*OSDI Resistor:
*OSDI_ACTIVATE*A1 D 0 rmod_osdi
*Built-in Capacitor:
*BUILT_IN_ACTIVATE*R1 D 0 10
.control
set filetype=ascii
set wr_vecnames
set wr_singlescale
* a DC sweep from 0.3V to 1V
dc Vd 0.3 1.0 0.01
wrdata dc_sim.ngspice v(d) i(vsense)
* an AC sweep at Vd=0.5V
alter VD=0.5
ac dec 10 .01 10
wrdata ac_sim.ngspice v(d) i(vsense)
* a transient analysis
tran 100ms 500000ms
wrdata tr_sim.ngspice v(d) i(vsense)
* print number of iterations
rusage totiter
.endc
.end

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/*
* Copyright© 2022 SemiMod UG. All rights reserved.
*
* This is an exemplary implementation of the OSDI interface for the Verilog-A
* model specified in diode.va. In the future, the OpenVAF compiler shall
* generate an comparable object file. Primary purpose of this is example to
* have a concrete example for the OSDI interface, OpenVAF will generate a more
* optimized implementation.
*
*/
#include "osdi.h"
#include "string.h"
#include <math.h>
#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>
#include <stdio.h>
// public interface
extern uint32_t OSDI_VERSION_MAJOR;
extern uint32_t OSDI_VERSION_MINOR;
extern uint32_t OSDI_NUM_DESCRIPTORS;
extern OsdiDescriptor OSDI_DESCRIPTORS[1];
// number of nodes and definitions of node ids for nicer syntax in this file
// note: order should be same as "nodes" list defined later
#define NUM_NODES 3
#define P 0
#define M 1
// number of matrix entries and definitions for Jacobian entries for nicer
// syntax in this file
#define NUM_MATRIX 4
#define P_P 0
#define P_M 1
#define M_P 2
#define M_M 3
// The model structure for the diode
typedef struct ResistorModel
{
double R;
bool R_given;
} ResistorModel;
// The instace structure for the diode
typedef struct ResistorInstance
{
double temperature;
double rhs_resist[NUM_NODES];
double rhs_react[NUM_NODES];
double jacobian_resist[NUM_MATRIX];
double jacobian_react[NUM_MATRIX];
double *jacobian_ptr_resist[NUM_MATRIX];
double *jacobian_ptr_react[NUM_MATRIX];
uint32_t node_off[NUM_NODES];
} ResistorInstance;
// implementation of the access function as defined by the OSDI spec
void *osdi_access(void *inst_, void *model_, uint32_t id, uint32_t flags)
{
ResistorModel *model = (ResistorModel *)model_;
ResistorInstance *inst = (ResistorInstance *)inst_;
bool *given;
void *value;
switch (id) // id of params defined in param_opvar array
{
case 0:
value = (void *)&model->R;
given = &model->R_given;
break;
default:
return NULL;
}
if (flags & ACCESS_FLAG_SET)
{
*given = true;
}
return value;
}
// implementation of the setup_model function as defined in the OSDI spec
OsdiInitInfo setup_model(void *_handle, void *model_)
{
ResistorModel *model = (ResistorModel *)model_;
// set parameters and check bounds
if (!model->R_given)
{
model->R = 1;
}
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the setup_instace function as defined in the OSDI spec
OsdiInitInfo setup_instance(void *_handle, void *inst_, void *model_,
double temperature, uint32_t _num_terminals)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
ResistorModel *model = (ResistorModel *)model_;
inst->temperature = temperature;
return (OsdiInitInfo){.flags = 0, .num_errors = 0, .errors = NULL};
}
// implementation of the eval function as defined in the OSDI spec
uint32_t eval(void *handle, void *inst_, void *model_, uint32_t flags,
double *prev_solve, OsdiSimParas *sim_params)
{
ResistorModel *model = (ResistorModel *)model_;
ResistorInstance *inst = (ResistorInstance *)inst_;
// get voltages
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
double vpm = vp - vm;
double ir = vpm / model->R;
double g = 1 / model->R;
////////////////
// write rhs
////////////////
if (flags & CALC_RESIST_RESIDUAL)
{
// write resist rhs
inst->rhs_resist[P] = ir;
inst->rhs_resist[M] = -ir;
}
//////////////////
// write Jacobian
//////////////////
if (flags & CALC_RESIST_JACOBIAN)
{
// stamp resistor
inst->jacobian_resist[P_P] = g;
inst->jacobian_resist[P_M] = -g;
inst->jacobian_resist[M_P] = -g;
inst->jacobian_resist[M_M] = g;
}
return 0;
}
// TODO implementation of the load_noise function as defined in the OSDI spec
void load_noise(void *inst, void *model, double freq, double *noise_dens,
double *ln_noise_dens)
{
// TODO add noise to example
}
#define LOAD_RHS_RESIST(name) \
dst[inst->node_off[name]] += inst->rhs_resist[name];
// implementation of the load_rhs_resist function as defined in the OSDI spec
void load_residual_resist(void *inst_, double *dst)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_RHS_RESIST(P)
LOAD_RHS_RESIST(M)
}
#define LOAD_RHS_REACT(name) dst[inst->node_off[name]] += inst->rhs_react[name];
// implementation of the load_rhs_react function as defined in the OSDI spec
void load_residual_react(void *inst_, double *dst)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_RHS_REACT(P)
LOAD_RHS_REACT(M)
}
#define LOAD_MATRIX_RESIST(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_resist[name];
// implementation of the load_matrix_resist function as defined in the OSDI spec
void load_jacobian_resist(void *inst_)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_MATRIX_RESIST(P_P)
LOAD_MATRIX_RESIST(P_M)
LOAD_MATRIX_RESIST(M_P)
LOAD_MATRIX_RESIST(M_M)
}
#define LOAD_MATRIX_REACT(name) \
*inst->jacobian_ptr_react[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_react function as defined in the OSDI spec
void load_jacobian_react(void *inst_, double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
LOAD_MATRIX_REACT(P_P)
LOAD_MATRIX_REACT(M_M)
LOAD_MATRIX_REACT(P_M)
LOAD_MATRIX_REACT(M_P)
}
#define LOAD_MATRIX_TRAN(name) \
*inst->jacobian_ptr_resist[name] += inst->jacobian_react[name] * alpha;
// implementation of the load_matrix_tran function as defined in the OSDI spec
void load_jacobian_tran(void *inst_, double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
// set dc stamps
load_jacobian_resist(inst_);
// add reactive contributions
LOAD_MATRIX_TRAN(P_P)
LOAD_MATRIX_TRAN(M_M)
LOAD_MATRIX_TRAN(M_P)
LOAD_MATRIX_TRAN(M_M)
}
// implementation of the load_spice_rhs_dc function as defined in the OSDI spec
void load_spice_rhs_dc(void *inst_, double *dst, double *prev_solve)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
dst[inst->node_off[P]] += inst->jacobian_resist[P_M] * vm +
inst->jacobian_resist[P_P] * vp -
inst->rhs_resist[P];
dst[inst->node_off[M]] += inst->jacobian_resist[M_P] * vp +
inst->jacobian_resist[M_M] * vm -
inst->rhs_resist[M];
}
// implementation of the load_spice_rhs_tran function as defined in the OSDI
// spec
void load_spice_rhs_tran(void *inst_, double *dst, double *prev_solve,
double alpha)
{
ResistorInstance *inst = (ResistorInstance *)inst_;
double vp = prev_solve[inst->node_off[P]];
double vm = prev_solve[inst->node_off[M]];
// set DC rhs
load_spice_rhs_dc(inst_, dst, prev_solve);
// add contributions due to reactive elements
dst[inst->node_off[P]] +=
alpha * (inst->jacobian_react[P_P] * vp +
inst->jacobian_react[P_M] * vm);
dst[inst->node_off[M]] += alpha * (inst->jacobian_react[M_M] * vm +
inst->jacobian_react[M_P] * vp);
}
// structure that provides information of all nodes of the model
OsdiNode nodes[NUM_NODES] = {
{.name = "P", .units = "V", .is_reactive = false},
{.name = "M", .units = "V", .is_reactive = false},
};
// boolean array that tells which Jacobian entries are constant. Nothing is
// constant with selfheating, though.
bool const_jacobian_entries[NUM_MATRIX] = {};
// these node pairs specify which entries in the Jacobian must be accounted for
OsdiNodePair jacobian_entries[NUM_MATRIX] = {
{P, P},
{P, M},
{M, P},
{M, M},
};
#define NUM_PARAMS 1
// the model parameters as defined in Verilog-A, bounds and default values are
// stored elsewhere as they may depend on model parameters etc.
OsdiParamOpvar params[NUM_PARAMS] = {
{
.name = (char *[]){"R"},
.num_alias = 0,
.description = "Resistance",
.units = "Ohm",
.flags = PARA_TY_REAL | PARA_KIND_MODEL,
.len = 0,
},
};
// fill exported data
uint32_t OSDI_VERSION_MAJOR = OSDI_VERSION_MAJOR_CURR;
uint32_t OSDI_VERSION_MINOR = OSDI_VERSION_MINOR_CURR;
uint32_t OSDI_NUM_DESCRIPTORS = 1;
// this is the main structure used by simulators, it gives access to all
// information in a model
OsdiDescriptor OSDI_DESCRIPTORS[1] = {{
// metadata
.name = "resistor_va",
// nodes
.num_nodes = NUM_NODES,
.num_terminals = 2,
.nodes = (OsdiNode *)&nodes,
// matrix entries
.num_jacobian_entries = NUM_MATRIX,
.jacobian_entries = (OsdiNodePair *)&jacobian_entries,
.const_jacobian_entries = (bool *)&const_jacobian_entries,
// memory
.instance_size = sizeof(ResistorInstance),
.model_size = sizeof(ResistorModel),
.residual_resist_offset = offsetof(ResistorInstance, rhs_resist),
.residual_react_offset = offsetof(ResistorInstance, rhs_react),
.node_mapping_offset = offsetof(ResistorInstance, node_off),
.jacobian_resist_offset = offsetof(ResistorInstance, jacobian_resist),
.jacobian_react_offset = offsetof(ResistorInstance, jacobian_react),
.jacobian_ptr_resist_offset = offsetof(ResistorInstance, jacobian_ptr_resist),
.jacobian_ptr_react_offset = offsetof(ResistorInstance, jacobian_ptr_react),
// TODO add node collapsing to example
// node collapsing
.num_collapsible = 0,
.collapsible = NULL,
.is_collapsible_offset = 0,
// noise
.noise_sources = NULL,
.num_noise_src = 0,
// parameters and op vars
.num_params = NUM_PARAMS,
.num_instance_params = 0,
.num_opvars = 0,
.param_opvar = (OsdiParamOpvar *)&params,
// setup
.access = &osdi_access,
.setup_model = &setup_model,
.setup_instance = &setup_instance,
.eval = &eval,
.load_noise = &load_noise,
.load_residual_resist = &load_residual_resist,
.load_residual_react = &load_residual_react,
.load_spice_rhs_dc = &load_spice_rhs_dc,
.load_spice_rhs_tran = &load_spice_rhs_tran,
.load_jacobian_resist = &load_jacobian_resist,
.load_jacobian_react = &load_jacobian_react,
.load_jacobian_tran = &load_jacobian_tran,
}};

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""" test OSDI simulation of resistor
"""
import os, shutil
import numpy as np
import subprocess
import pandas as pd
directory = os.path.dirname(__file__)
# This test runs a DC, AC and Transient Simulation of a simple resistor.
# The capacitor is available as a C file and needs to be compiled to a shared object
# and then bet put into /usr/local/share/ngspice/osdi:
#
# > make osdi_resistor
# > cp resistor_osdi.so /usr/local/share/ngspice/osdi/resistor_osdi.so
#
# The integration test proves the functioning of the OSDI interface.
# Future tests will target Verilog-A models like HICUM/L2 that should yield exactly the same results as the Ngspice implementation.
def create_shared_object():
# place the file "resistor_va.c" next to this file
subprocess.run(
[
"gcc",
"-c",
"-Wall",
"-I",
"../../src/spicelib/devices/osdi/",
"-fpic",
"resistor_va.c",
"-ggdb",
],
cwd=directory,
)
subprocess.run(
["gcc", "-shared", "-o", "resistor_va.so", "resistor_va.o", "-ggdb"],
cwd=directory,
)
os.makedirs(os.path.join(directory, "test_osdi", "osdi"), exist_ok=True)
subprocess.run(
["mv", "resistor_va.so", "test_osdi/osdi/resistor_va.so"], cwd=directory
)
subprocess.run(["rm", "resistor_va.o"], cwd=directory)
# specify location of Ngspice executable to be tested
ngspice_path = os.path.join(directory, "../../debug/src/ngspice")
ngspice_path = os.path.abspath(ngspice_path)
def test_ngspice():
path_netlist = os.path.join(directory, "netlist.sp")
# open netlist and activate Ngspice resistor
with open(path_netlist) as netlist_handle:
netlist_raw = netlist_handle.read()
netlist_osdi = netlist_raw.replace("*OSDI_ACTIVATE*", "")
netlist_built_in = netlist_raw.replace("*BUILT_IN_ACTIVATE*", "")
# make directories for test cases
dir_osdi = os.path.join(directory, "test_osdi")
dir_built_in = os.path.join(directory, "test_built_in")
# remove old results:
for directory_i in [dir_osdi, dir_built_in]:
shutil.rmtree(directory_i, ignore_errors=True)
for directory_i in [dir_osdi, dir_built_in]:
os.makedirs(directory_i, exist_ok=True)
create_shared_object()
# write netlists
with open(os.path.join(dir_osdi, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_osdi)
with open(os.path.join(dir_built_in, "netlist.sp"), "w") as netlist_handle:
netlist_handle.write(netlist_built_in)
# run simulations with Ngspice
for directory_i in [dir_osdi, dir_built_in]:
subprocess.run(
[
ngspice_path,
"netlist.sp",
"-b",
],
cwd=directory_i,
)
# read DC simulation results
dc_data_osdi = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
dc_data_built_in = pd.read_csv(os.path.join(dir_osdi, "dc_sim.ngspice"), sep="\\s+")
# dc_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "dc_sim.ngspice"), sep="\\s+"
# )
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_osdi["i(vsense)"].to_numpy()
# id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
# read AC simulation results
ac_data_osdi = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
ac_data_built_in = pd.read_csv(os.path.join(dir_osdi, "ac_sim.ngspice"), sep="\\s+")
# ac_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "ac_sim.ngspice"), sep="\\s+"
# )
# read TR simulation results
tr_data_osdi = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
tr_data_built_in = pd.read_csv(os.path.join(dir_osdi, "tr_sim.ngspice"), sep="\\s+")
# tr_data_built_in = pd.read_csv(
# os.path.join(dir_built_in, "tr_sim.ngspice"), sep="\\s+"
# )
# test simulation results
id_osdi = dc_data_osdi["i(vsense)"].to_numpy()
id_built_in = dc_data_built_in["i(vsense)"].to_numpy()
np.testing.assert_allclose(id_osdi[0:20], id_built_in[0:20], rtol=0.01)
return (
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
)
if __name__ == "__main__":
(
dc_data_osdi,
dc_data_built_in,
ac_data_osdi,
ac_data_built_in,
tr_data_osdi,
tr_data_built_in,
) = test_ngspice()
import matplotlib.pyplot as plt
# DC Plot
pd_built_in = dc_data_built_in["v(d)"] * dc_data_built_in["i(vsense)"]
pd_osdi = dc_data_osdi["v(d)"] * dc_data_osdi["i(vsense)"]
fig, ax1 = plt.subplots()
ax1.plot(
dc_data_built_in["v(d)"],
dc_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
ax1.plot(
dc_data_built_in["v(d)"],
dc_data_built_in["v(d)"] / 10 * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
ax1.plot(
dc_data_osdi["v(d)"],
dc_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
ax1.set_ylabel(r"$I_{\mathrm{P}} (\mathrm{mA})$")
ax1.set_xlabel(r"$V_{\mathrm{PM}}(\mathrm{V})$")
plt.legend()
# AC Plot
omega = 2 * np.pi * ac_data_osdi["frequency"]
z_analytical = 1 / 10
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_built_in["frequency"],
np.ones_like(ac_data_built_in["frequency"]) * z_analytical * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
plt.semilogx(
ac_data_osdi["frequency"], ac_data_osdi["i(vsense)"] * 1e3, label="OSDI"
)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Re \\left\{ Y_{11} \\right\} (\\mathrm{mS})$")
plt.legend()
fig = plt.figure()
plt.semilogx(
ac_data_built_in["frequency"],
ac_data_built_in["i(vsense).1"] * 1e12 / omega,
label="built-in",
linestyle=" ",
marker="x",
)
plt.semilogx(
ac_data_built_in["frequency"],
np.zeros_like(ac_data_built_in["i(vsense).1"]) * 1e12 / omega,
label="analytical",
linestyle="--",
marker="s",
)
plt.semilogx(
ac_data_osdi["frequency"],
ac_data_osdi["i(vsense).1"] * 1e12 / omega,
label="OSDI",
)
plt.ylim(-1, 1)
plt.xlabel("$f(\\mathrm{H})$")
plt.ylabel("$\\Im\\left\{Y_{11}\\right\}/(\\omega) (\\mathrm{pF})$")
plt.legend()
# TR plot
fig = plt.figure()
plt.plot(
tr_data_built_in["time"] * 1e9,
tr_data_built_in["i(vsense)"] * 1e3,
label="built-in",
linestyle=" ",
marker="x",
)
plt.plot(
tr_data_built_in["time"] * 1e9,
tr_data_built_in["v(d)"] / 10 * 1e3,
label="analytical",
linestyle="--",
marker="s",
)
plt.plot(
tr_data_osdi["time"] * 1e9,
tr_data_osdi["i(vsense)"] * 1e3,
label="OSDI",
)
plt.xlabel(r"$t(\mathrm{nS})$")
plt.ylabel(r"$I_{\mathrm{D}}(\mathrm{mA})$")
plt.legend()
plt.show()