double y0, double timestep) { auto k1 = fun(time, y0); auto k2 = fun(time + timestep * 0.5, y0 + k1 * timestep * 0.5); auto k3 = fun(time + timestep * 0.5, y0 + k2 * * timestep * 0.5); auto k4 = fun(time + timestep, y0 + k3 * timestep); return (y0 + (k1 + 2 * k2 + 2 * k3 + k4) * timestep / 6); } double stateOut = common::math::runge_kutta4(derivFun 1, 6> y0, double timestep) { auto k1 = fun(time, y0); auto k2 = fun(time + timestep * 0.5, y0 + k1 * timestep * 0.5); auto k3 = fun(time + timestep * 0.5, y0 + k2 *

create(key='a', value={'k1': 'v1'}) >>> KV.get(KV.key == 'a').value {'k1': 'v1'} We can access specific parts of the JSON data using dictionary lookups: >>> KV.get(KV.value['k1'] == 'v1').key 'a' using the update() method: >>> KV.update(value=KV.value.update({'k1': 'v1-x', 'k2': 'v2'})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1-x', 'k2': 'v2'} We can also set individual parts of the the JSON data using the set() method: >>> KV.update(value=KV.value['k1'].set('v1')).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1', 'k2': 'v2'} The set() method can also be used with objects,

create(key='a', value={'k1': 'v1'}) >>> KV.get(KV.key == 'a').value {'k1': 'v1'} We can access specific parts of the JSON data using dictionary lookups: >>> KV.get(KV.value['k1'] == 'v1').key 'a' using the update() method: >>> KV.update(value=KV.value.update({'k1': 'v1-x', 'k2': 'v2'})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1-x', 'k2': 'v2'} We can also set individual parts of the the JSON data using the set() method: >>> KV.update(value=KV.value['k1'].set('v1')).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1', 'k2': 'v2'} The set() method can also be used with objects, in

create(key='a', value={'k1': 'v1'}) >>> KV.get(KV.key == 'a').value {'k1': 'v1'} We can access specific parts of the JSON data using dictionary lookups: >>> KV.get(KV.value['k1'] == 'v1').key 'a' using the update() method. Note that “k1=v1” is preserved: >>> KV.update(value=KV.value.update({'k2': 'v2', 'k3': 'v3'})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1', 'k2': 'v2', 'k3': 'v3'} update the value of “k1” and remove “k3” (“k2” will not be modified): >>> KV.update(value=KV.value.update({'k1': 'v1-x', 'k3': None})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1-x', 'k2': 'v2'}

create(key='a', value={'k1': 'v1'}) >>> KV.get(KV.key == 'a').value {'k1': 'v1'} We can access specific parts of the JSON data using dictionary lookups: >>> KV.get(KV.value['k1'] == 'v1').key 'a' using the update() method. Note that “k1=v1” is preserved: >>> KV.update(value=KV.value.update({'k2': 'v2', 'k3': 'v3'})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1', 'k2': 'v2', 'k3': 'v3'} We update the value of “k1” and remove “k3” (“k2” will not be modified): >>> KV.update(value=KV.value.update({'k1': 'v1-x', 'k3': None})).execute() 1 >>> KV.get(KV.key == 'a').value {'k1': 'v1-x', 'k2': 'v2'}

parameter Does not throw exceptions when called If k1 == k2 ➡ hash()(k1) == hash()(k2) If k1 != k2 ➡ the probability that hash()(k1) == hash()(k2) 
 should be very small, approaching std::string lastName; int age; // ... std::size_t hash_code() const { std::size_t k1 = std::hash{}(firstName); std::size_t k2 = std::hash{}(lastName); std::size_t k1 = std::hash{}(firstName); std::size_t k2 = std::hash{}(lastName); std::size_t k3 = std::hash{}(age); } }; 🤔 return hash_combine(k1, k2, k3);

# ('Post 3', []) insert(*pairs, **data) pairs – A flat list consisting of key, value pairs. E.g., k1 v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. data – keyword arguments .execute()) replace(*pairs, **data) pairs – A flat list consisting of key, value pairs. E.g., k1 v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. data – keyword arguments .execute()) set(*pairs, **data) pairs – A flat list consisting of key, value pairs. E.g., k1 v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. data – keyword arguments

[]) insert(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments execute()) replace(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments execute()) set(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments

[]) insert(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments execute()) replace(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments execute()) set(*pairs, **data) Parameters • pairs – A flat list consisting of key, value pairs. E.g., k1, v1, k2, v2, k3, v3. The key may be a simple string or a JSONPath instance. • data – keyword arguments

- Adventures in SIMD Thinking 5 S = s0 s1 s2 s3 s4 s5 s6 ... K = k0 k1 k2 r0 = ... r1 = s0k0 + s1k1 + s2k2 r2 = s1k0 + s2k1 + s3k2 r3 = s2k0 s5 s6 ... k0 k1 k2 r2 = s0 s1 s2 s3 s4 s5 s6 ... k0 k1 k2 r3 = s0 s1 s2 s3 s4 s5 s6 ... k0 k1 k2 r4 = s0 s1 s2 s3 s4 s5 s6 ... k0 k1 k2 r5 = s0 s1 s2 s3 s4 s5 s6 ... k0 k1 k2 Convolution CppCon 2020 - Adventures in SIMD Thinking 6Copyright © 2020