### **4.1 Spark Pi**

Test the Spark installation by running the following compute intensive example, which calculates pi by “throwing darts” at a circle. The program generates points in the unit square ((0,0) to (1,1)) and counts how many points fall within the unit circle within the square. The result approximates pi.

                    response.getSuccessfulShards(), response.getFailedShards());
        }
        return response.getStatus().getStatus();
    }

    /**
     * Calculates the memory size of a document data map.
     * This is useful for monitoring memory usage during indexing operations.
     *
     * @param dataMap the document data as a map of field names to values

            + Long.numberOfLeadingZeros(b)
            + Long.numberOfLeadingZeros(~b);
    if (leadingZeros > Long.SIZE + 1) {
      return a * b;
    }
    // the return value if we will overflow (which we calculate by overflowing a long :) )
    long limit = Long.MAX_VALUE + ((a ^ b) >>> (Long.SIZE - 1));
    if (leadingZeros < Long.SIZE | (a < 0 & b == Long.MIN_VALUE)) {
      // overflow
      return limit;
    }

- Remove the repeated calculation of nodeName and hostname during kubelet startup, these parameters are all calculated in the `RunKubelet` method ([#90284](https://github.com/kubernetes/kubernetes/pull/90284), [@wawa0210](https://github.com/wawa0210)) [SIG Node]

        } catch (final Exception ex) {
            if (LogStream.level > 0) {
                ex.printStackTrace(log);
            }
        }
        return key;
    }

    /**
     * Calculates the effective user session key.
     *
     * @param challenge The server challenge.
     * @param dest The destination array in which the user session key will be
     * placed.

        // When
        boolean valid = response.isValid(mockContext, mockRequest);

        // Then
        assertTrue(valid);
    }

    @Test
    @DisplayName("Should calculate buffer sizes correctly")
    void testBufferSizeCalculations() throws Exception {
        // Given
        setResponseAsReceived(response);
        setPrivateField(response, "dialectRevision", 0x0300);

	// was requested, fetch content without decrypting.
	if opts.Transition.RestoreRequest != nil || opts.NoDecryption {
		isEncrypted = false
		isCompressed = false
	}

	// Calculate range to read (different for encrypted/compressed objects)
	switch {
	case isCompressed:
		var firstPart int
		if opts.PartNumber > 0 {
			// firstPart is an index to Parts slice,

zeroes until its length is a multiple of // 16-bytes. It then calculates a new value for hash using the ghash // algorithm. func paddedGHASH(hash *[16]byte, data []byte, productTable *[256]byte) { if siz := len(data) - (len(data) % gcmBlockSize); siz > 0 { gcmHash(hash[:], productTable, data[:], siz) data = data[siz:] } if len(data) > 0 { var s [16]byte copy(s[:], data) gcmHash(hash[:], productTable, s[:], len(s)) } } // auth calculates GHASH(ciphertext, additionalData), masks the result with // tagMask...

       * @since 31.1 (but only since 33.4.0 in the Android flavor)
       */
      public Schedule(Duration delay) {
        this(toNanosSaturated(delay), NANOSECONDS);
      }
    }

    /**
     * Calculates the time at which to next invoke the task.
     *
     * <p>This is guaranteed to be called immediately after the task has completed an iteration and
     * on the same thread as the previous execution of {@link

	}
	return val, ok
}

// bytesToString - never fails, but returns empty string if value is not bytes.
func (v Value) bytesToString() string {
	bytes, _ := v.ToBytes()
	return string(bytes)
}

// Calculates minimum or maximum of v and a and assigns the result to
// v - it works only on numeric arguments, where `v` is already
// assumed to be numeric. Attempts conversion to numeric type for `a`