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std.math: Add documentation for all functions and algorithm sources
2019-04-30 23:15:57 -07:00
// Ported from musl, which is licensed under the MIT license:
// https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
Add math special case tests and general fixes - Should cover special case inputs for most functions - Fixed a number of runtime panicking behaviour reliant on shift overflow/division by zero etc.
2017-06-20 04:01:04 -07:00
//
std.math: Add documentation for all functions and algorithm sources
2019-04-30 23:15:57 -07:00
// https://git.musl-libc.org/cgit/musl/tree/src/math/atan2f.c
// https://git.musl-libc.org/cgit/musl/tree/src/math/atan2.c
Add math special case tests and general fixes - Should cover special case inputs for most functions - Fixed a number of runtime panicking behaviour reliant on shift overflow/division by zero etc.
2017-06-20 04:01:04 -07:00
rename std lib files to new convention
2019-03-02 13:46:04 -08:00
const std = @import("../std.zig");
move std/debug.zig to a subdirectory self hosted compiler parser tests do some fuzz testing
2017-12-23 19:08:53 -08:00
const math = std.math;
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
const expect = std.testing.expect;
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
std.math: Add documentation for all functions and algorithm sources
2019-04-30 23:15:57 -07:00
/// Returns the arc-tangent of y/x.
///
/// Special Cases:
/// - atan2(y, nan) = nan
/// - atan2(nan, x) = nan
/// - atan2(+0, x>=0) = +0
/// - atan2(-0, x>=0) = -0
/// - atan2(+0, x<=-0) = +pi
/// - atan2(-0, x<=-0) = -pi
/// - atan2(y>0, 0) = +pi/2
/// - atan2(y<0, 0) = -pi/2
/// - atan2(+inf, +inf) = +pi/4
/// - atan2(-inf, +inf) = -pi/4
/// - atan2(+inf, -inf) = 3pi/4
/// - atan2(-inf, -inf) = -3pi/4
/// - atan2(y, +inf) = 0
/// - atan2(y>0, -inf) = +pi
/// - atan2(y<0, -inf) = -pi
/// - atan2(+inf, x) = +pi/2
/// - atan2(-inf, x) = -pi/2
fix incorrect parameter names for std.math.atan2
2019-01-14 15:11:17 -08:00
pub fn atan2(comptime T: type, y: T, x: T) T {
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
return switch (T) {
fix incorrect parameter names for std.math.atan2
2019-01-14 15:11:17 -08:00
f32 => atan2_32(y, x),
f64 => atan2_64(y, x),
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => @compileError("atan2 not implemented for " ++ @typeName(T)),
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
};
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
syntax: functions require return type. remove `->` The purpose of this is: * Only one way to do things * Changing a function with void return type to return a possible error becomes a 1 character change, subtly encouraging people to use errors. See #632 Here are some imperfect sed commands for performing this update: remove arrow: ``` sed -i 's/\(\bfn\b.*\)-> /\1/g' $(find . -name "*.zig") ``` add void: ``` sed -i 's/\(\bfn\b.*\))\s*{/\1) void {/g' $(find ../ -name "*.zig") ``` Some cleanup may be necessary, but this should do the bulk of the work.
2018-01-25 01:10:11 -08:00
fn atan2_32(y: f32, x: f32) f32 {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
const pi: f32 = 3.1415927410e+00;
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
const pi_lo: f32 = -8.7422776573e-08;
if (math.isNan(x) or math.isNan(y)) {
return x + y;
}
var ix = @bitCast(u32, x);
var iy = @bitCast(u32, y);
// x = 1.0
if (ix == 0x3F800000) {
return math.atan(y);
}
// 2 * sign(x) + sign(y)
const m = ((iy >> 31) & 1) | ((ix >> 30) & 2);
ix &= 0x7FFFFFFF;
iy &= 0x7FFFFFFF;
if (iy == 0) {
switch (m) {
run zig fmt on the codebase See #1003
2018-05-28 17:23:55 -07:00
0, 1 => return y, // atan(+-0, +...)
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
2 => return pi, // atan(+0, -...)
3 => return -pi, // atan(-0, -...)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
if (ix == 0) {
if (m & 1 != 0) {
return -pi / 2;
} else {
return pi / 2;
}
}
if (ix == 0x7F800000) {
if (iy == 0x7F800000) {
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return pi / 4, // atan(+inf, +inf)
1 => return -pi / 4, // atan(-inf, +inf)
2 => return 3 * pi / 4, // atan(+inf, -inf)
3 => return -3 * pi / 4, // atan(-inf, -inf)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
} else {
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return 0.0, // atan(+..., +inf)
1 => return -0.0, // atan(-..., +inf)
2 => return pi, // atan(+..., -inf)
3 => return -pi, // atan(-...f, -inf)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
}
// |y / x| > 0x1p26
if (ix + (26 << 23) < iy or iy == 0x7F800000) {
if (m & 1 != 0) {
return -pi / 2;
} else {
return pi / 2;
}
}
// z = atan(|y / x|) with correct underflow
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
var z = z: {
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
if ((m & 2) != 0 and iy + (26 << 23) < ix) {
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
break :z 0.0;
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
} else {
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
break :z math.atan(math.fabs(y / x));
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
};
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return z, // atan(+, +)
1 => return -z, // atan(-, +)
2 => return pi - (z - pi_lo), // atan(+, -)
3 => return (z - pi_lo) - pi, // atan(-, -)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
syntax: functions require return type. remove `->` The purpose of this is: * Only one way to do things * Changing a function with void return type to return a possible error becomes a 1 character change, subtly encouraging people to use errors. See #632 Here are some imperfect sed commands for performing this update: remove arrow: ``` sed -i 's/\(\bfn\b.*\)-> /\1/g' $(find . -name "*.zig") ``` add void: ``` sed -i 's/\(\bfn\b.*\))\s*{/\1) void {/g' $(find ../ -name "*.zig") ``` Some cleanup may be necessary, but this should do the bulk of the work.
2018-01-25 01:10:11 -08:00
fn atan2_64(y: f64, x: f64) f64 {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
const pi: f64 = 3.1415926535897931160E+00;
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
const pi_lo: f64 = 1.2246467991473531772E-16;
if (math.isNan(x) or math.isNan(y)) {
return x + y;
}
var ux = @bitCast(u64, x);
remove integer and float casting syntax * add `@intCast` * add `@floatCast` * add `@floatToInt` * add `@intToFloat` See #1061
2018-06-16 23:57:07 -07:00
var ix = @intCast(u32, ux >> 32);
var lx = @intCast(u32, ux & 0xFFFFFFFF);
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
var uy = @bitCast(u64, y);
remove integer and float casting syntax * add `@intCast` * add `@floatCast` * add `@floatToInt` * add `@intToFloat` See #1061
2018-06-16 23:57:07 -07:00
var iy = @intCast(u32, uy >> 32);
var ly = @intCast(u32, uy & 0xFFFFFFFF);
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
// x = 1.0
if ((ix -% 0x3FF00000) | lx == 0) {
return math.atan(y);
}
// 2 * sign(x) + sign(y)
const m = ((iy >> 31) & 1) | ((ix >> 30) & 2);
ix &= 0x7FFFFFFF;
iy &= 0x7FFFFFFF;
if (iy | ly == 0) {
switch (m) {
run zig fmt on the codebase See #1003
2018-05-28 17:23:55 -07:00
0, 1 => return y, // atan(+-0, +...)
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
2 => return pi, // atan(+0, -...)
3 => return -pi, // atan(-0, -...)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
if (ix | lx == 0) {
if (m & 1 != 0) {
return -pi / 2;
} else {
return pi / 2;
}
}
if (ix == 0x7FF00000) {
if (iy == 0x7FF00000) {
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return pi / 4, // atan(+inf, +inf)
1 => return -pi / 4, // atan(-inf, +inf)
2 => return 3 * pi / 4, // atan(+inf, -inf)
3 => return -3 * pi / 4, // atan(-inf, -inf)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
} else {
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return 0.0, // atan(+..., +inf)
1 => return -0.0, // atan(-..., +inf)
2 => return pi, // atan(+..., -inf)
3 => return -pi, // atan(-...f, -inf)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
}
// |y / x| > 0x1p64
if (ix +% (64 << 20) < iy or iy == 0x7FF00000) {
if (m & 1 != 0) {
return -pi / 2;
} else {
return pi / 2;
}
}
// z = atan(|y / x|) with correct underflow
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
var z = z: {
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
if ((m & 2) != 0 and iy +% (64 << 20) < ix) {
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
break :z 0.0;
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
} else {
explicitly return from blocks instead of last statement being expression value closes #629
2017-12-21 21:50:30 -08:00
break :z math.atan(math.fabs(y / x));
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
};
switch (m) {
partial conversion to post-fix pointer deref using zig fmt
2018-05-09 21:29:49 -07:00
0 => return z, // atan(+, +)
1 => return -z, // atan(-, +)
2 => return pi - (z - pi_lo), // atan(+, -)
3 => return (z - pi_lo) - pi, // atan(-, -)
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
else => unreachable,
}
}
workaround for llvm bug See #393 for details
2017-06-19 11:36:33 -07:00
test "math.atan2" {
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
expect(atan2(f32, 0.2, 0.21) == atan2_32(0.2, 0.21));
expect(atan2(f64, 0.2, 0.21) == atan2_64(0.2, 0.21));
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
workaround for llvm bug See #393 for details
2017-06-19 11:36:33 -07:00
test "math.atan2_32" {
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
const epsilon = 0.000001;
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
expect(math.approxEq(f32, atan2_32(0.0, 0.0), 0.0, epsilon));
expect(math.approxEq(f32, atan2_32(0.2, 0.2), 0.785398, epsilon));
expect(math.approxEq(f32, atan2_32(-0.2, 0.2), -0.785398, epsilon));
expect(math.approxEq(f32, atan2_32(0.2, -0.2), 2.356194, epsilon));
expect(math.approxEq(f32, atan2_32(-0.2, -0.2), -2.356194, epsilon));
expect(math.approxEq(f32, atan2_32(0.34, -0.4), 2.437099, epsilon));
expect(math.approxEq(f32, atan2_32(0.34, 1.243), 0.267001, epsilon));
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
workaround for llvm bug See #393 for details
2017-06-19 11:36:33 -07:00
test "math.atan2_64" {
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
const epsilon = 0.000001;
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
expect(math.approxEq(f64, atan2_64(0.0, 0.0), 0.0, epsilon));
expect(math.approxEq(f64, atan2_64(0.2, 0.2), 0.785398, epsilon));
expect(math.approxEq(f64, atan2_64(-0.2, 0.2), -0.785398, epsilon));
expect(math.approxEq(f64, atan2_64(0.2, -0.2), 2.356194, epsilon));
expect(math.approxEq(f64, atan2_64(-0.2, -0.2), -2.356194, epsilon));
expect(math.approxEq(f64, atan2_64(0.34, -0.4), 2.437099, epsilon));
expect(math.approxEq(f64, atan2_64(0.34, 1.243), 0.267001, epsilon));
Add math library This covers the majority of the functions as covered by the C99 specification for a math library. Code is adapted primarily from musl libc, with the pow and standard trigonometric functions adapted from the Go stdlib. Changes: - Remove assert expose in index and import as needed. - Add float log function and merge with existing base 2 integer implementation. See https://github.com/tiehuis/zig-fmath. See #374.
2017-06-16 01:26:10 -07:00
}
Add math special case tests and general fixes - Should cover special case inputs for most functions - Fixed a number of runtime panicking behaviour reliant on shift overflow/division by zero etc.
2017-06-20 04:01:04 -07:00
test "math.atan2_32.special" {
const epsilon = 0.000001;
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
expect(math.isNan(atan2_32(1.0, math.nan(f32))));
expect(math.isNan(atan2_32(math.nan(f32), 1.0)));
expect(atan2_32(0.0, 5.0) == 0.0);
expect(atan2_32(-0.0, 5.0) == -0.0);
expect(math.approxEq(f32, atan2_32(0.0, -5.0), math.pi, epsilon));
//expect(math.approxEq(f32, atan2_32(-0.0, -5.0), -math.pi, epsilon)); TODO support negative zero?
expect(math.approxEq(f32, atan2_32(1.0, 0.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f32, atan2_32(1.0, -0.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f32, atan2_32(-1.0, 0.0), -math.pi / 2.0, epsilon));
expect(math.approxEq(f32, atan2_32(-1.0, -0.0), -math.pi / 2.0, epsilon));
expect(math.approxEq(f32, atan2_32(math.inf(f32), math.inf(f32)), math.pi / 4.0, epsilon));
expect(math.approxEq(f32, atan2_32(-math.inf(f32), math.inf(f32)), -math.pi / 4.0, epsilon));
expect(math.approxEq(f32, atan2_32(math.inf(f32), -math.inf(f32)), 3.0 * math.pi / 4.0, epsilon));
expect(math.approxEq(f32, atan2_32(-math.inf(f32), -math.inf(f32)), -3.0 * math.pi / 4.0, epsilon));
expect(atan2_32(1.0, math.inf(f32)) == 0.0);
expect(math.approxEq(f32, atan2_32(1.0, -math.inf(f32)), math.pi, epsilon));
expect(math.approxEq(f32, atan2_32(-1.0, -math.inf(f32)), -math.pi, epsilon));
expect(math.approxEq(f32, atan2_32(math.inf(f32), 1.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f32, atan2_32(-math.inf(f32), 1.0), -math.pi / 2.0, epsilon));
Add math special case tests and general fixes - Should cover special case inputs for most functions - Fixed a number of runtime panicking behaviour reliant on shift overflow/division by zero etc.
2017-06-20 04:01:04 -07:00
}
test "math.atan2_64.special" {
const epsilon = 0.000001;
std.debug.assert: remove special case for test builds Previously, std.debug.assert would `@panic` in test builds, if the assertion failed. Now, it's always `unreachable`. This makes release mode test builds more accurately test the actual code that will be run. However this requires tests to call `std.testing.expect` rather than `std.debug.assert` to make sure output is correct. Here is the explanation of when to use either one, copied from the assert doc comments: Inside a test block, it is best to use the `std.testing` module rather than assert, because assert may not detect a test failure in ReleaseFast and ReleaseSafe mode. Outside of a test block, assert is the correct function to use. closes #1304
2019-02-08 15:18:47 -08:00
expect(math.isNan(atan2_64(1.0, math.nan(f64))));
expect(math.isNan(atan2_64(math.nan(f64), 1.0)));
expect(atan2_64(0.0, 5.0) == 0.0);
expect(atan2_64(-0.0, 5.0) == -0.0);
expect(math.approxEq(f64, atan2_64(0.0, -5.0), math.pi, epsilon));
//expect(math.approxEq(f64, atan2_64(-0.0, -5.0), -math.pi, epsilon)); TODO support negative zero?
expect(math.approxEq(f64, atan2_64(1.0, 0.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f64, atan2_64(1.0, -0.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f64, atan2_64(-1.0, 0.0), -math.pi / 2.0, epsilon));
expect(math.approxEq(f64, atan2_64(-1.0, -0.0), -math.pi / 2.0, epsilon));
expect(math.approxEq(f64, atan2_64(math.inf(f64), math.inf(f64)), math.pi / 4.0, epsilon));
expect(math.approxEq(f64, atan2_64(-math.inf(f64), math.inf(f64)), -math.pi / 4.0, epsilon));
expect(math.approxEq(f64, atan2_64(math.inf(f64), -math.inf(f64)), 3.0 * math.pi / 4.0, epsilon));
expect(math.approxEq(f64, atan2_64(-math.inf(f64), -math.inf(f64)), -3.0 * math.pi / 4.0, epsilon));
expect(atan2_64(1.0, math.inf(f64)) == 0.0);
expect(math.approxEq(f64, atan2_64(1.0, -math.inf(f64)), math.pi, epsilon));
expect(math.approxEq(f64, atan2_64(-1.0, -math.inf(f64)), -math.pi, epsilon));
expect(math.approxEq(f64, atan2_64(math.inf(f64), 1.0), math.pi / 2.0, epsilon));
expect(math.approxEq(f64, atan2_64(-math.inf(f64), 1.0), -math.pi / 2.0, epsilon));
Add math special case tests and general fixes - Should cover special case inputs for most functions - Fixed a number of runtime panicking behaviour reliant on shift overflow/division by zero etc.
2017-06-20 04:01:04 -07:00
}