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std.math: remove constants that can be derived

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from others at compile time
This commit is contained in:
Andrew Kelley 2017-08-20 05:43:17 -04:00
parent f248ef5f3f
commit be16034275
3 changed files with 26 additions and 37 deletions
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8
std/math/atan.zig
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@ -239,8 +239,8 @@ test "math.atan32.special" {
assert(atan32(0.0) == 0.0);
assert(atan32(-0.0) == -0.0);
assert(math.approxEq(f32, atan32(math.inf(f32)), math.pi_2, epsilon));
assert(math.approxEq(f32, atan32(-math.inf(f32)), -math.pi_2, epsilon));
assert(math.approxEq(f32, atan32(math.inf(f32)), math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan32(-math.inf(f32)), -math.pi / 2.0, epsilon));
}
test "math.atan64.special" {
@ -248,6 +248,6 @@ test "math.atan64.special" {
assert(atan64(0.0) == 0.0);
assert(atan64(-0.0) == -0.0);
assert(math.approxEq(f64, atan64(math.inf(f64)), math.pi_2, epsilon));
assert(math.approxEq(f64, atan64(-math.inf(f64)), -math.pi_2, epsilon));
assert(math.approxEq(f64, atan64(math.inf(f64)), math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan64(-math.inf(f64)), -math.pi / 2.0, epsilon));
}

40
std/math/atan2.zig
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@ -245,19 +245,19 @@ test "math.atan2_32.special" {
assert(atan2_32(-0.0, 5.0) == -0.0);
assert(math.approxEq(f32, atan2_32(0.0, -5.0), math.pi, epsilon));
assert(math.approxEq(f32, atan2_32(-0.0, -5.0), -math.pi, epsilon));
assert(math.approxEq(f32, atan2_32(1.0, 0.0), math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(1.0, -0.0), math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(-1.0, 0.0), -math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(-1.0, -0.0), -math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), math.inf(f32)), math.pi_4, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), math.inf(f32)), -math.pi_4, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), -math.inf(f32)), 3.0 * math.pi_4, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), -math.inf(f32)), -3.0 * math.pi_4, epsilon));
assert(math.approxEq(f32, atan2_32(1.0, 0.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan2_32(1.0, -0.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan2_32(-1.0, 0.0), -math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan2_32(-1.0, -0.0), -math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), math.inf(f32)), math.pi / 4.0, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), math.inf(f32)), -math.pi / 4.0, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), -math.inf(f32)), 3.0 * math.pi / 4.0, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), -math.inf(f32)), -3.0 * math.pi / 4.0, epsilon));
assert(atan2_32(1.0, math.inf(f32)) == 0.0);
assert(math.approxEq(f32, atan2_32(1.0, -math.inf(f32)), math.pi, epsilon));
assert(math.approxEq(f32, atan2_32(-1.0, -math.inf(f32)), -math.pi, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), 1.0), math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), 1.0), -math.pi_2, epsilon));
assert(math.approxEq(f32, atan2_32(math.inf(f32), 1.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f32, atan2_32(-math.inf(f32), 1.0), -math.pi / 2.0, epsilon));
}
test "math.atan2_64.special" {
@ -269,17 +269,17 @@ test "math.atan2_64.special" {
assert(atan2_64(-0.0, 5.0) == -0.0);
assert(math.approxEq(f64, atan2_64(0.0, -5.0), math.pi, epsilon));
assert(math.approxEq(f64, atan2_64(-0.0, -5.0), -math.pi, epsilon));
assert(math.approxEq(f64, atan2_64(1.0, 0.0), math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(1.0, -0.0), math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(-1.0, 0.0), -math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(-1.0, -0.0), -math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), math.inf(f64)), math.pi_4, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), math.inf(f64)), -math.pi_4, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), -math.inf(f64)), 3.0 * math.pi_4, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), -math.inf(f64)), -3.0 * math.pi_4, epsilon));
assert(math.approxEq(f64, atan2_64(1.0, 0.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan2_64(1.0, -0.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan2_64(-1.0, 0.0), -math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan2_64(-1.0, -0.0), -math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), math.inf(f64)), math.pi / 4.0, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), math.inf(f64)), -math.pi / 4.0, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), -math.inf(f64)), 3.0 * math.pi / 4.0, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), -math.inf(f64)), -3.0 * math.pi / 4.0, epsilon));
assert(atan2_64(1.0, math.inf(f64)) == 0.0);
assert(math.approxEq(f64, atan2_64(1.0, -math.inf(f64)), math.pi, epsilon));
assert(math.approxEq(f64, atan2_64(-1.0, -math.inf(f64)), -math.pi, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), 1.0), math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), 1.0), -math.pi_2, epsilon));
assert(math.approxEq(f64, atan2_64(math.inf(f64), 1.0), math.pi / 2.0, epsilon));
assert(math.approxEq(f64, atan2_64(-math.inf(f64), 1.0), -math.pi / 2.0, epsilon));
}

15
std/math/index.zig
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@ -2,19 +2,8 @@ const builtin = @import("builtin");
const TypeId = builtin.TypeId;
const assert = @import("../debug.zig").assert;
pub const e = 2.7182818284590452354; // e
pub const log2_e = 1.4426950408889634074; // log_2(e)
pub const log10_e = 0.43429448190325182765; // log_10(e)
pub const ln_2 = 0.69314718055994530942; // log_e(2)
pub const ln_10 = 2.30258509299404568402; // log_e(10)
pub const pi = 3.14159265358979323846; // pi
pub const pi_2 = 1.57079632679489661923; // pi/2
pub const pi_4 = 0.78539816339744830962; // pi/4
pub const r1_pi = 0.31830988618379067154; // 1/pi
pub const r2_pi = 0.63661977236758134308; // 2/pi
pub const r2_sqrtpi = 1.12837916709551257390; // 2/sqrt(pi)
pub const sqrt2 = 1.41421356237309504880; // sqrt(2)
pub const r1_sqrt2 = 0.70710678118654752440; // 1/sqrt(2)
pub const e = 2.71828182845904523536028747135266249775724709369995;
pub const pi = 3.14159265358979323846264338327950288419716939937510;
// float.h details
pub const f64_true_min = 4.94065645841246544177e-324;