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This change:
- Adds generic implementation of the float -> integer conversion
functions floatXiYf, including support for f80
- Updates the existing implementation of integer -> float conversion
fixXiYf to support f16 and f80
- Fixes the handling of the explicit integer bit in `__trunctfxf2`
- Combines the test cases for fixXfYi/floatXiYf into a single file
- Renames `fmodl` to `fmodq`, since it operates on 128-bit floats
The new implementation for floatXiYf has been benchmarked, and generally
provides equal or better performance versus the current implementations:
Throughput (MiB/s) - Before
| u32 | i32 | u64 | i64 | u128 | i128 |
-----|----------|----------|----------|----------|----------|----------|
f16 | none | none | none | none | none | none |
f32 | 2231.67 | 2001.19 | 1745.66 | 1405.77 | 2173.99 | 1874.63 |
f64 | 1407.17 | 1055.83 | 2911.68 | 2437.21 | 1676.05 | 1476.67 |
f80 | none | none | none | none | none | none |
f128 | 327.56 | 321.25 | 645.92 | 654.52 | 1153.56 | 1096.27 |
Throughput (MiB/s) - After
| u32 | i32 | u64 | i64 | u128 | i128 |
-----|----------|----------|----------|----------|----------|----------|
f16 | 1407.61 | 1637.25 | 3555.03 | 2594.56 | 3680.60 | 3063.34 |
f32 | 2101.36 | 2122.62 | 3225.46 | 3123.86 | 2860.05 | 1985.21 |
f64 | 1395.57 | 1314.87 | 2409.24 | 2196.30 | 2384.95 | 1908.15 |
f80 | 475.53 | 457.92 | 884.50 | 812.12 | 1475.27 | 1382.16 |
f128 | 359.60 | 350.91 | 723.08 | 706.80 | 1296.42 | 1198.87 |
47 lines
1.6 KiB
Zig
47 lines
1.6 KiB
Zig
const std = @import("std");
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const fmodq = @import("floatfmodq.zig");
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const testing = std.testing;
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fn test_fmodq(a: f128, b: f128, exp: f128) !void {
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const res = fmodq.fmodq(a, b);
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try testing.expect(exp == res);
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}
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fn test_fmodq_nans() !void {
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try testing.expect(std.math.isNan(fmodq.fmodq(1.0, std.math.nan(f128))));
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try testing.expect(std.math.isNan(fmodq.fmodq(1.0, -std.math.nan(f128))));
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try testing.expect(std.math.isNan(fmodq.fmodq(std.math.nan(f128), 1.0)));
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try testing.expect(std.math.isNan(fmodq.fmodq(-std.math.nan(f128), 1.0)));
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}
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fn test_fmodq_infs() !void {
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try testing.expect(fmodq.fmodq(1.0, std.math.inf(f128)) == 1.0);
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try testing.expect(fmodq.fmodq(1.0, -std.math.inf(f128)) == 1.0);
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try testing.expect(std.math.isNan(fmodq.fmodq(std.math.inf(f128), 1.0)));
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try testing.expect(std.math.isNan(fmodq.fmodq(-std.math.inf(f128), 1.0)));
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}
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test "fmodq" {
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try test_fmodq(6.8, 4.0, 2.8);
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try test_fmodq(6.8, -4.0, 2.8);
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try test_fmodq(-6.8, 4.0, -2.8);
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try test_fmodq(-6.8, -4.0, -2.8);
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try test_fmodq(3.0, 2.0, 1.0);
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try test_fmodq(-5.0, 3.0, -2.0);
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try test_fmodq(3.0, 2.0, 1.0);
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try test_fmodq(1.0, 2.0, 1.0);
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try test_fmodq(0.0, 1.0, 0.0);
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try test_fmodq(-0.0, 1.0, -0.0);
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try test_fmodq(7046119.0, 5558362.0, 1487757.0);
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try test_fmodq(9010357.0, 1957236.0, 1181413.0);
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// Denormals
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const a: f128 = 0xedcb34a235253948765432134674p-16494;
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const b: f128 = 0x5d2e38791cfbc0737402da5a9518p-16494;
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const exp: f128 = 0x336ec3affb2db8618e4e7d5e1c44p-16494;
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try test_fmodq(a, b, exp);
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try test_fmodq_nans();
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try test_fmodq_infs();
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}
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