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CO2_func.py
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327 lines (277 loc) · 16.5 KB
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import numpy as np
import itertools as it
from matplotlib import pyplot as plt
import math
from tech_scaling import *
debug = False
##############################################
#Yeild Calculation
def yield_calc(area, defect_density):
yield_val = (1+(defect_density*1e4)*(area*1e-6)/10)**-10
return yield_val
###############################################
#Trasistors_per_gate = 8
#Power_per_core = 10
#Carbon_per_kWh = 700
def design_costs(areas, comb,scaling_factors,Transistors_per_gate,Power_per_core,Carbon_per_kWh):
transistors = areas * np.array([scaling_factors['transistors_per_mm2'].loc[x,'Transistors_per_mm2'] for x in comb])
gates = transistors/Transistors_per_gate
CPU_core_hours = gates/np.array([scaling_factors['gates_per_hr_per_core'].loc[x,'Gates_per_hr_per_core'] for x in comb])
total_energy = Power_per_core*CPU_core_hours/1000 #in kWh
design_carbon = Carbon_per_kWh * total_energy
return design_carbon
################################################
def recursive_split(areas, axis=0, emib_pitch=10):
sorted_areas = np.sort(areas[::-1])
if len(areas)<=1:
v = (np.sum(areas)/2)**0.5
size_2_1 = np.array((v + v*((axis+1)%2), v +axis*v))
# print("single", axis, size_2_1)
return size_2_1, 0
else:
sums = np.array((0.0,0.0))
blocks= [[],[]]
for i, area in enumerate(sorted_areas):
blocks[np.argmin(sums)].append(area)
sums[np.argmin(sums)] += area
# print("blocks",axis, blocks)
left, l_if = recursive_split(blocks[0], (axis+1)%2, emib_pitch)
# print("left",axis, left)
right, r_if = recursive_split(blocks[1], (axis+1)%2, emib_pitch)
# print("right",axis, right)
sizes = np.array((0.0,0.0))
sizes[axis] = left[axis] + right[axis] + 0.5
sizes[(axis+1)%2] = np.max((left[(axis+1)%2], right[(axis+1)%2]))
t_if = l_if + r_if
t_if += np.ceil(np.min((left[(axis+1)%2], right[(axis+1)%2]))/emib_pitch) # for overlap 1 interface per 10mm
return sizes, t_if
################################################
#wastage_add = will add extra si CFP wastage based on Formulae
def Si_chip(techs, types, areas,scaling_factors,Transistors_per_gate=8,Power_per_core=10,Carbon_per_kWh=700,packaging=False, always_chiplets=False,wastage_add = False,wafer_dia=450):
area = np.array(areas)
cpa = np.array([scaling_factors['cpa'].loc[c, 'cpa'] for c in techs])
# delay = np.array([scaling_factors[ty].loc[techs[i], 'delay'] for i, ty in enumerate(types)])
if not packaging:
area_scale = np.array([scaling_factors[ty].loc[techs[i], 'area'] for i, ty in enumerate(types)])
design_carbon = design_costs(areas*area_scale, techs,scaling_factors,Transistors_per_gate,Power_per_core,Carbon_per_kWh)
defect_den = scaling_factors['defect_den']
else:
design_carbon = 0
defect_den = scaling_factors['defect_den']/4 # packaing has lower density
#Cost-effective design of scalable high-performance systems using active and passive interposers
area_scale = np.ones_like(area)
if (np.all(np.array(techs) == techs[0]) and not always_chiplets):
yields = yield_calc((area*area_scale).sum(), defect_den.loc[techs[0],'defect_density'])
wastage_extra_cfp=0
if wastage_add:
wastage_extra_cfp = Si_wastage_accurate_t(wafer_dia=wafer_dia,chip_area=(area*area_scale).sum(),techs=techs,cpa_factors=scaling_factors['cpa'].loc[techs[0],'cpa'])
wastage_extra_cfp = (wastage_extra_cfp * area) / area.sum()
else:
yields = np.zeros_like(techs,dtype=float)
wastage_extra_cfp=np.zeros(len(techs))
for i, c in enumerate(techs):
yields[i] = yield_calc(areas[i]*area_scale[i], scaling_factors['defect_den'].loc[c,'defect_density'])
# print("yields:", yields)
if wastage_add:
wastage_extra_cfp[i] = Si_wastage_accurate_t(wafer_dia=wafer_dia,chip_area=areas[i]*area_scale[i],techs=techs[i],cpa_factors=scaling_factors['cpa'].loc[techs[i],'cpa'])
mfg_carbon = area_scale*cpa*area / yields
mfg_wst_carbon = mfg_carbon+wastage_extra_cfp
if wastage_add:
carbon = mfg_wst_carbon
else:
carbon = mfg_carbon
return carbon, design_carbon, area_scale
###############################################
def power_chip(techs, types, scaling_factors,powers, lifetime, activity,Carbon_per_kWh):
active = activity[0]
on = activity[1]
avg_pwr = activity[2]
powers_in = np.array(powers)
dyn_ratio = np.array([scaling_factors['dyn_pwr_ratio'].loc[c, 'dyn_pwr_ratio'] for c in techs])
pwr_scale = np.array([scaling_factors[ty].loc[techs[i], 'power'] for i, ty in enumerate(types)])
powers_tech_scaled = powers_in * pwr_scale
powers_scaled = powers_tech_scaled*on*avg_pwr*(dyn_ratio*active + (1-dyn_ratio))
energy = lifetime*powers_scaled/1000
op_carbon = Carbon_per_kWh * energy
return op_carbon,powers_scaled
###############################################
def Interposer(areas, techs, types, scaling_factors, package_type="passive", always_chiplets=False,
interposer_node=65, tsv_pitch=0.025, tsv_size=0.005, RDLLayers=6, EMIBLayers=5,
emib_pitch=10, numBEOL=8, transistors_per_gate=8, power_per_core=10,
carbon_per_kWh=700, return_router_area=False
):
#TBD
# passive interposer
#1. Bonding yield - 99% from "Cost-effective design of scalable high-performance systems using active and passive interposers"
#2. Router overhead
#3. Area overhead -10% from "Cost-effective design of scalable high-performance systems using active and passive interposers"
#4. 65 nm defect density,
#5. pacage defect density
#6. 65nm carbon per area
#7. packaging yield adjustments
package_carbon = 0
router_carbon = 0
router_design = 0
bonding_yield = 0.99
router_area =0
if(~np.all(np.array(techs) == techs[0]) or always_chiplets):
num_chiplets = len(areas)
interposer_area, num_if = recursive_split(areas, emib_pitch=emib_pitch)
num_if = int(np.ceil(num_if))
interposer_area = np.prod(interposer_area)
# print(interposer_area, np.sum(areas))
interposer_carbon, _, _ = Si_chip([interposer_node], ["logic"], [interposer_area],scaling_factors,
transistors_per_gate, power_per_core,carbon_per_kWh, True, always_chiplets)
if (package_type == "active"):
router_area = 4.47 * num_chiplets
router_carbon = interposer_carbon * router_area / interposer_area
_, router_design, _ = Si_chip([interposer_node], ["logic"], [router_area],scaling_factors,
transistors_per_gate, power_per_core,carbon_per_kWh, True, always_chiplets)
router_design = np.sum(router_design)
#package_carbon = (interposer_carbon-router_carbon)* beolVfeol[65]
package_carbon = (interposer_carbon-router_carbon)* scaling_factors['beolVfeol'].loc[65,'beolVfeol']
elif (package_type == "3D"):
dims = np.sqrt(np.array(areas, dtype=np.float64))
num_tsv_1d = np.floor(dims/tsv_pitch)
overhead_3d = (num_tsv_1d**2) * (tsv_size**2)
area_3d = areas + overhead_3d
carbon3d, _, _ = Si_chip(techs, types, area_3d,scaling_factors,transistors_per_gate,
power_per_core,carbon_per_kWh,False, always_chiplets)
carbon2d, _, _ = Si_chip(techs, types, areas,scaling_factors,transistors_per_gate,
power_per_core,carbon_per_kWh,False, always_chiplets)
package_carbon = np.sum(carbon3d-carbon2d)
router_area = 0.33/np.array([scaling_factors[ty].loc[14, 'area'] for ty in types])
router_carbon, router_design, _ = Si_chip(techs, types, router_area,scaling_factors,transistors_per_gate,
power_per_core,carbon_per_kWh,False)
router_carbon, router_design = np.sum(router_carbon), np.sum(router_design)
bonding_yield = bonding_yield**num_chiplets
elif package_type in ['passive', 'RDL', 'EMIB'] :
# interposer_area = np.sum(areas)*1.1
#0.33 in 16 convert to 7nm
router_area = 0.33/np.array([scaling_factors[ty].loc[14, 'area'] for ty in types])
router_carbon, router_design, _ = Si_chip(techs, types, router_area,scaling_factors,transistors_per_gate,
power_per_core,carbon_per_kWh,False)
router_carbon, router_design = np.sum(router_carbon), np.sum(router_design)
if package_type == 'passive':
package_carbon = interposer_carbon* scaling_factors['beolVfeol'].loc[interposer_node,'beolVfeol']
elif package_type == 'RDL':
package_carbon = interposer_carbon* scaling_factors['beolVfeol'].loc[interposer_node,'beolVfeol']
package_carbon *= RDLLayers/numBEOL
elif (package_type == 'EMIB'):
emib_area = [5*5]*num_if
# print("NUMBER OF INTERFACES",num_if)
emib_carbon, _, _ = Si_chip([22]*num_if, ["logic"]*num_if, emib_area, scaling_factors,transistors_per_gate,
power_per_core,carbon_per_kWh,True)
package_carbon = np.sum(emib_carbon)* scaling_factors['beolVfeol'].loc[22,'beolVfeol']
else:
raise NotImplemented
package_carbon /= bonding_yield
router_carbon /= bonding_yield
if return_router_area:
return package_carbon, router_carbon, router_design, router_area
else:
return package_carbon, router_carbon, router_design
###############################################
def plot_packaging_carbon(carbon,labels):
carbon.plot(kind='bar', stacked=False, figsize = (21,7),
title='Packaging CO2 overhead manufacturing')
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
plt.figure()
ax = carbon[[x for x in labels if 'passive' in x]].plot.bar(
stacked=True, figsize=(21,7), color=['tab:blue','tab:orange'], position=0, width=0.2)
carbon[[x for x in labels if 'active' in x]].plot.bar(
stacked=True, sharex=True, ax=ax, position=1, width=0.2, color=['tab:green','tab:red'])
carbon[[x for x in labels if 'RDL' in x]].plot.bar(
stacked=True, sharex=True, ax=ax, position=2, width=0.2, color=['tab:purple','tab:brown'])
carbon[[x for x in labels if 'EMIB' in x]].plot.bar(
stacked=True, sharex=True, ax=ax, position=3, width=0.2, color=['tab:pink','tab:cyan'])
legend = ax.legend(labels, fontsize=12)#, loc='center left', bbox_to_anchor=(1.0, 0.93))
plt.show()
def package_CO2(design, scaling_factors, techs):
combinations=list(it.product(techs, repeat=len(design.index)))
packaging_techs = ["passive","active","RDL","EMIB"]
carbon = np.zeros((len(combinations), len(packaging_techs)*2))
for n, comb in enumerate(combinations):
_, _, area_scale = Si_chip(techs=comb, types=design.type.values, areas=design.area.values,scaling_factors=scaling_factors )
for i, package in enumerate(packaging_techs):
carbon[n, 2*i], carbon[n, 2*i+1] = Interposer(areas=design.area.values*area_scale, techs=comb,
types = design.type.values,scaling_factors=scaling_factors, package_type=package)
labels = [x+y for x in packaging_techs for y in [" package", " router"]]
carbon = pd.DataFrame(data=carbon, index=combinations, columns=labels)
plot_packaging_carbon(carbon,labels)
# plt.xlim([-1, 1])
###############################################
#Wastage calculation
def Si_wastage_accurate_t(wafer_dia,chip_area,techs,cpa_factors):
si_area = (math.pi * (wafer_dia ** 2))/4
dpw = math.pi * wafer_dia * ((wafer_dia/(4*chip_area)) - (1/math.sqrt(2*chip_area)))
area_wastage = si_area - (math.floor(dpw)*chip_area)
#unused_si_cfp = wastage_cfp(area_wastage,techs,scaling_factors)
unused_si_cfp = area_wastage*cpa_factors
wastage_si_cfp_pdie = unused_si_cfp/dpw
return wastage_si_cfp_pdie
###############################################
#TODO : remove comments
def calculate_CO2(design, scaling_factors, techs, design_name='', num_iter=90, package_type='RDL', always_chiplets=False,
lifetime = 2*365*24, activity=[0.2, 0.667, 0.1], Ns = 1e5, Nc=None, plot=False,package_factor=1,
return_ap=False, in_combinations=None, transistors_per_gate=8, power_per_core=10, carbon_per_kWh=700,
interposer_node=65, rdl_layer = 6, emib_layers = 5, emib_pitch=10, tsv_pitch = 0.025,
tsv_size = 0.005, num_beol = 8
):
#num_iter = 90
#Chiplet configuration based on nodes from architecture.json
combinations = design.node.values
combinations = [tuple(combinations)]
if len(design.index) == 1: #Monolithic
always_chiplets = False
else:
always_chiplets = True
design_carbon = np.zeros((len(combinations), len(design.index)+1))
op_carbon = np.zeros((len(combinations), len(design.index)+1))
carbon = np.zeros((len(combinations), len(design.index)+1))
areas= np.zeros((len(combinations), len(design.index)))
powers = np.zeros((len(combinations), len(design.index)))
for n, comb in enumerate(combinations):
carbon[n,:-1], design_carbon[n,:-1], area_scale = Si_chip(techs=comb, types=design.type.values,
areas=design.area.values,scaling_factors=scaling_factors, Transistors_per_gate=transistors_per_gate,
Power_per_core=power_per_core,Carbon_per_kWh=carbon_per_kWh, always_chiplets=always_chiplets,wastage_add=True )
package_c, router_c, design_carbon[n,-1], router_a =Interposer(areas=design.area.values*area_scale, techs=comb, types=design.type.values,scaling_factors=scaling_factors,
package_type=package_type, always_chiplets=always_chiplets, interposer_node=interposer_node,
tsv_pitch=tsv_pitch, tsv_size=tsv_size, RDLLayers=rdl_layer, EMIBLayers=emib_layers, emib_pitch=emib_pitch, numBEOL=num_beol,
transistors_per_gate=transistors_per_gate,power_per_core=power_per_core,carbon_per_kWh=carbon_per_kWh,return_router_area=True)
carbon[n, -1] = package_c*package_factor + router_c
op_carbon[n,:-1], powers[n, :] = power_chip(comb, design.type.values,scaling_factors, design.power.values, lifetime, activity,Carbon_per_kWh=carbon_per_kWh)
areas[n] = design.area.values*area_scale +router_a
if Nc is None:
design_carbon *= num_iter/Ns
total_carbon = carbon + design_carbon + op_carbon
else:
design_carbon *= num_iter/Nc[None,:]
total_carbon = carbon + design_carbon + op_carbon
carbon = pd.DataFrame(data=carbon, index=combinations, columns=(list(design.index) + ["Packaging"]))
design_carbon = pd.DataFrame(data=design_carbon, index=combinations, columns=(list(design.index) + ["Packaging"]))
op_carbon = pd.DataFrame(data=op_carbon, index=combinations, columns=(list(design.index) + ["Packaging"]))
# total_carbon = carbon + (design_carbon*10/1e5)+ 0.8*(design_carbon*100/1e5)
total_carbon = pd.DataFrame(data=total_carbon, index=combinations, columns=(list(design.index) + ["Packaging"]))
if plot:
carbon.plot(kind='bar', stacked=True, figsize = (21,7),
title=f'Stacked CO2 manufacturing: {design_name}')
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
design_carbon.plot(kind='bar', stacked=True, figsize = (21,7),
title=f'Stacked CO2 design: {design_name}')
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
op_carbon.plot(kind='bar', stacked=True, figsize = (21,7),
title=f'Stacked CO2 operations: {design_name}')
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
total_carbon.plot(kind='bar', stacked=True, figsize = (10,7),
title=f'Total C02 manufacturing+design: {design_name}')
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
if not return_ap:
return carbon, design_carbon, total_carbon, op_carbon
else:
return carbon, design_carbon, total_carbon, op_carbon, areas, powers