Source Code: /src/families/_2d/tests/integration/

This is the same as the 1d integration test, but integrating over 2d functions instead of 1d functions.

1D Integration Test

The functions being integrated over are:

• Disk: the inside of a circle with radius 2/pi

• Triangle: y > x

• Step: x < 1/pi

• Gaussian: z = e^(-x^2-y^2)

• Bilinear: z = x * y

Test Results

tests done:

• Disk

• Triangle

• Step

• Gaussian

• Bilinear

Disk

Blue Noise Sequences

Irrational Number Sampling

Low Discrepancy Sequences

Hammersley Low Discrepancy Sequence

Regular Sampling

Uniform Random Number Sampling

Triangle

Blue Noise Sequences

Irrational Number Sampling

Low Discrepancy Sequences

Hammersley Low Discrepancy Sequence

Regular Sampling

Uniform Random Number Sampling

Step

Blue Noise Sequences

Irrational Number Sampling

Low Discrepancy Sequences

Hammersley Low Discrepancy Sequence

Regular Sampling

Uniform Random Number Sampling

Gaussian

Blue Noise Sequences

Irrational Number Sampling

Low Discrepancy Sequences

Hammersley Low Discrepancy Sequence

Regular Sampling

Uniform Random Number Sampling

Bilinear

Blue Noise Sequences

Irrational Number Sampling

Low Discrepancy Sequences

Hammersley Low Discrepancy Sequence

Regular Sampling

Uniform Random Number Sampling